Abrasive article including shaped abrasive particles

Abstract

To improve the performance, life and efficacy of abrasive particles and an abrasive article that employs the abrasive particles.SOLUTION: A shaped abrasive particle 1600 includes a body comprising a first major surface 1603, a second major surface, and a side surface 1605 extending between the first major surface 1603 and the second major surface. In shaped abrasive particle 1600, the body has a sharpness-shape-strength factor (3SF) within the range from about 0.7 to about 1.7, and a shape index within the range from at least about 0.01 to about 0.49 or less.SELECTED DRAWING: Figure 16

Description

[Technical field]

[0001] The following is directed to abrasive articles, particularly abrasive articles that include shaped abrasive particles. [Background technology]

[0002] Abrasive particles and abrasive articles made from the abrasive particles can be used for a variety of purposes, including grinding, finishing, and polishing. Depending on the type of abrasive material, such abrasive particles can be used to remove material from an article. In the manufacture of, it can be useful for shaping or grinding a wide variety of materials and surfaces. To date, certain types of abrasive particles having specific geometric shapes, e.g., triangular shaped Abrasive particles and abrasive articles incorporating such bodies have been devised. Patent Nos. 5,201,916, 5,366,523, and 5,984,988 Please refer to.

[0003] Three basic techniques have been utilized to produce abrasive particles with specific shapes: (1) fusion, (2) sintering, and (3) chemical porcelain sintering. In the fusion process, the abrasive particles are , a chill roll (whose surface may or may not be engraved), a mold (where the molten material is poured), or by heat sink material immersed in aluminum oxide melt. For example, U.S. Patent No. 3,377,660 (melted abrasive material is poured from a furnace into a low-temperature casting) The material is poured into a rotating cylinder for rapid solidification, forming a thin, semi-solid, curved sheet. The semi-solid material is compressed by a pressure roll, and then the semi-solid material is passed through a fast-acting cooling conveyor. The semi-solid material is pulled out of the cylinder by a wire and the curved surface is inverted. (which discloses a process that includes partially crushing the pieces).

[0004] In the sintering process, the abrasive particles are fused to refractory powder with a grain size of up to 10 micrometers in diameter. A binder is added to the powder along with a lubricant and a suitable solvent, such as water. The resulting mixture(s) or slurry is then immersed in platelets of various lengths and diameters. For example, U.S. Pat. No. 3,079,242 (1 (2) compressing the material under positive pressure to combine the particles of the powder (3) the melting temperature of bauxite is lower than that of bauxite. The temperature sinters the particle agglomerates and induces limited recrystallization of the particles, thereby forming abrasive grains. and producing abrasive particles from calcined bauxite material, the abrasive particles being produced to size. (which discloses the method).

[0005] Chemical ceramic techniques use colloidal dispersions or hydrosols (sometimes called sols) , optionally in admixture with solutions of other metal oxide precursors to improve the flowability of the components. The ceramic is then converted into a gel or any other physical state that limits the amount of heat that can be applied, dried, and calcined to form a ceramic. For example, U.S. Patents 4,744,802 and 4,844, No. 8,041, which is incorporated herein by reference. Other relevant disclosures regarding abrasive articles incorporating particles are available at: http: / / www.abstract.com / articles / abrasive-articles-incorporating-particles-with ... : / / www.abel-ip.com / publications / .

[0006] In the art, there are many reports of abrasive particles and abrasive articles using the abrasive particles, including those having a high degree of abrasive properties, such as abrasive wear, wear resistance, and abrasive wear resistance. There remains a need for improvement. Summary of the Invention

[0007] According to one embodiment, the method of making the shaped abrasive particles comprises: i) applying a pressure of at least about 350 MPa to about Select a material having a specified strength within a range of 1500 MPa or less, and based on the specified strength forming a body of shaped abrasive particles having a predetermined tip sharpness and a predetermined shape index; i. i) The predetermined shape index of the body of the molded abrasive particle is at least about 0.01 to about 0.49. A tip having a predetermined sharpness and a predetermined strength based on a predetermined shape index is selected within the range. iii) forming a body of the shaped abrasive particle having a predetermined tip sharpness of the body of the shaped abrasive particle by at least The diameter is selected within a range of at least about 1 micron to about 80 microns, and the tip sharpness is determined based on the desired tip sharpness. forming a body of shaped abrasive particles having a predetermined shape index and a predetermined strength, The method includes forming a body of a shaped abrasive body comprising at least one of:

[0008] In one embodiment, the shaped abrasive particles have a first major surface and a second major surface. and a side extending between the major surface of the body, wherein the body has a thickness of about 0.7 to about A sharpness-shape-strength factor (3SF) within the range of 1.7 and at least about 0.01 to about 0. having a shape index in the range of 49 or less.

[0009] In another embodiment, the shaped abrasive particles have a first major surface, a second major surface, and a first major surface and a second major surface. and a side extending between the two major surfaces, wherein the body comprises at least A shape index in the range of about 0.01 to about 0.49 or less, and a pressure of at least about 350 MPa to about 1 It has a strength in the range of 500 MPa or less.

[0010] According to another embodiment, the shaped abrasive particles have a first major surface, a second major surface, and a first major surface. and a side extending between the second major surface, wherein the body has a thickness of about 80 Average tip sharpness in the range of submicron to at least about 1 micron, at least about 0. and the body has a shape index in the range of about 350 MPa to about 0.49 or less. It has a strength of approximately 1500 MPa or less.

[0011] In another embodiment, the shaped abrasive particles have a first major surface, a second major surface, and a first major surface and a second major surface. a first portion of the side extending between the first and second major surfaces, , has a partially concave shape.

[0012] In yet another embodiment, the shaped abrasive particles have a first major surface, a second major surface, and and a side extending between the first major surface and the second major surface, wherein a first of the side The portion extends between adjacent first and second corners of the body, and the first portion of the side The portion includes a first curved section connected to a first straight section.

[0013] According to yet another aspect, the shaped abrasive particles have a first major surface, a second major surface, and a first a first major surface and a second major surface, the first major surface being a first side surface; The first section includes a first curved portion that is connected to the first straight section and defines a corner that defines an obtuse angle. Includes line sections.

[0014] In another embodiment, the shaped abrasive particles have a first major surface, a second major surface, and a first major surface and a second major surface. and a side extending between two major surfaces, wherein the body is substantially a first portion of the side having a sum of 80 degrees and a first curved section; , a hybrid polygon.

[0015] In another embodiment, the shaped abrasive particles have a first major surface, a second major surface, and a first major surface and a second major surface. and a side extending between the first and second major surfaces of the body, a first maximum tip width (Wt1) that defines the maximum width of the arm, (Wt1) is a distance from the first end of the first arm and between the midpoint of the body and the first is disposed between the end portions. [Brief description of the drawings]

[0016] The present disclosure, and its many features and advantages, can be better understood by reference to the accompanying drawings, in which: The advantages may be apparent to one skilled in the art.

[0017] [Figure 1] 1 includes a portion of a system for forming a particulate material, according to an embodiment. [Diagram 2] 2 includes a portion of the system of FIG. 1 for forming a particulate material, according to an embodiment. [Diagram 3] 1 includes a cross-sectional view of a shaped abrasive particle to illustrate certain features, according to some embodiments. [Figure 4] 1 includes a side view of a shaped abrasive particle and a percentage of flashing, according to an embodiment. [Figure 5A] 1 includes an illustration of a bonded abrasive article incorporating shaped abrasive particles, according to an embodiment. [Figure 5B] 1 includes a cross-sectional view of a portion of a coated abrasive article according to an embodiment. [Figure 6] 1 includes a cross-sectional view of a portion of a coated abrasive article according to an embodiment. [Figure 7] 1 includes a top view of a portion of a coated abrasive article according to an embodiment. [Figure 8A] 1 includes a top view of a portion of a coated abrasive article according to an embodiment. [Figure 8B] 1 includes a perspective view of a portion of a coated abrasive article according to an embodiment. [Figure 9] 1 includes a perspective view of a portion of a coated abrasive article according to an embodiment. [Figure 10] 1 includes a top view of a portion of an abrasive article, according to an embodiment. [Figure 11] 1 depicts a portion of a coated abrasive according to an embodiment and includes an image used to analyze the orientation of shaped abrasive particles on a backing. [Figure 12A] 1 includes an illustration of a shaped abrasive particle according to some embodiments. [Figure 12B] 1 includes an illustration of a shaped abrasive particle according to some embodiments. [Figure 13] 1 includes an illustration of a shaped abrasive particle according to some embodiments. [Figure 14] 1 includes an illustration of a shaped abrasive particle according to some embodiments. [Figure 15] 1 includes an illustration of a shaped abrasive particle according to some embodiments. [Figure 16] 1 includes an illustration of a shaped abrasive particle according to some embodiments. [Figure 17] 1 includes an illustration of a shaped abrasive particle according to some embodiments. [Figure 18A] 1 includes an illustration of a shaped abrasive particle according to some embodiments. [Figure 18B] 1 includes an illustration of a shaped abrasive particle according to some embodiments. [Figure 18C] 1 includes a top view image of a shaped abrasive particle with parting lines for measuring draft angle, according to an embodiment. [Figure 18D] 1 includes cross-sectional images of shaped abrasive particles for measurement of draft angle, according to certain embodiments. [Figure 18E] 1 includes cross-sectional images of shaped abrasive particles for measurement of draft angle, according to certain embodiments. [Figure 19] FIG. 19 is a plot of specific grinding energy versus cumulative material removed. [Figure 20] 1 includes images of shaped abrasive particles according to certain embodiments. [Figure 21] 1 includes images of shaped abrasive particles according to certain embodiments. [Figure 22] 1 includes images of shaped abrasive particles according to certain embodiments. [Figure 23] Included are images of conventional shaped abrasive particles. [Figure 24] 1 includes images of shaped abrasive particles according to certain embodiments. [Diagram 25] Includes an image of shaped abrasive particles. [Figure 26] 1 includes a plot of the median force per total area removed from a workpiece for example shaped abrasive particles. [Figure 27] Included is a plot of specific grinding energy per cumulative material removed for conventional and representative samples. DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS

[0018] The following is directed to an abrasive article comprising shaped abrasive particles. The method herein comprises the steps of: and using abrasive articles incorporating shaped abrasive particles. Shaped abrasive particles include, for example, coated abrasives, bonded abrasives, loose abrasives, and combinations thereof. Various other uses for the present shaped abrasive particles are possible, including combinations of Usage can be derived.

[0019] shaped abrasive particles A variety of methods can be used to obtain shaped abrasive particles. The particles can be obtained from commercial sources. Some of the materials used to make the shaped abrasive particles may be hand-made or fabricated. Suitable processes include deposition, printing (e.g., screen printing), molding, pressing, Casting, dividing, cutting, die cutting, punching, pressing, drying, curing, coating, extrusion, pressing These include, but are not limited to, extension, and combinations thereof.

[0020] FIG. 1 illustrates a system 1 for forming shaped abrasive particles, according to one non-limiting embodiment. FIG. 50 includes a process for forming shaped abrasive particles comprising: The present invention can begin by forming a mixture 101 that includes a ceramic. The gel may be a gel formed from a mixture of powdered material and a liquid. According to an embodiment, the gel is The ceramic powder material may be formed into an integrated network of separate particles.

[0021] The mixture 101 has suitable flow properties for use in the processes detailed herein. The composition may contain certain amounts of solid materials, liquid materials, and additives so as to That is, in certain cases, the mixture has a certain viscosity, more specifically, a suitable flow property. Dimensionally stable materials having the properties and which can be formed by the processes described herein. A dimensionally stable material phase can be formed having a particular shape and form. The molded article can be configured to substantially maintain its shape during at least a portion of post-processing. In certain cases, the shape initially obtained during the forming process is the final shape. In some cases, the shape may be preserved through subsequent processing so that it is present in the resulting object. In other words, the mixture 101 does not have to be a form-stable material and the process can be carried out by further processing such as drying. It will be appreciated that the solidification and stabilization of the mixture 101 may depend on the application of heat.

[0022] The mixture 101 is formed by including a solid material, such as a ceramic powder material, in a certain content. For example, in one embodiment, the mixture 101 has a solids content of about 100% by weight of the mixture 101. at least about 25% by weight, e.g., at least about 35% by weight, or even at least In addition, in at least one non-limiting embodiment, the mixture may comprise about 38% by weight. The solids content of 101 is about 75% by weight or less, for example, about 70% by weight or less, about 65% by weight or less. , about 55% by weight or less, about 45% by weight or less, or about 42% by weight or less. The solid material content in the product 101 may be within a range between any of the minimum and maximum percentages listed above. It will be understood that it is possible to obtain

[0023] According to one embodiment, the ceramic powder material may include oxides, nitrides, carbides, borides, Oxycarbides, oxynitrides, and combinations thereof may be included. The ceramic material may include alumina. More specifically, the ceramic material may include bema The term "boehmite" may include boehmite materials, which may be precursors to alpha alumina. is usually a mineral base, typically Al2O3·H2O, with a water content of about 15% by weight. ymite, as well as pseudo-ymite having a water content of more than 15% by weight, for example 20-38% by weight. It is used to refer to alumina hydrates including boehmite. has a specific and identifiable crystal structure and therefore a unique X-ray diffraction pattern. For this reason, boehmite is not a material that is used in the present specification for the preparation of boehmite particulate materials. Other aluminum compounds such as ATH (aluminum hydroxide), a common precursor material used in calligraphy, It is distinguished from other aluminous materials that contain alumina hydrates.

[0024] Furthermore, the mixture 101 may be formed containing a liquid material in a particular content. The liquid may include water. According to one embodiment, the mixture 101 is a liquid-containing The amount may be less than the solids content of the mixture 101. The mixture 101 has a liquid content of at least about 25% by weight of the total weight of the mixture 101. In other cases, the amount of liquid in the mixture 101 may be greater, e.g. at least about 35% by weight, at least about 45% by weight, at least about 50% by weight, or even In at least one non-limiting embodiment, In the present invention, the liquid content of the mixture is about 75% by weight or less, for example, about 70% by weight or less, about 65% by weight or less. % or less, about 62% or less, or even about 60% or less by weight. The liquid content in 01 may be within a range between any of the minimum and maximum percentages stated above. will be understood.

[0025] Additionally, to facilitate processing and forming of shaped abrasive particles according to embodiments herein, The mixture 101 may have a particular storage modulus. For example, the mixture 101 may have a low storage modulus. At least about 1×10 4 Pa, e.g., at least about 4×10 4 Pa, or even less At most about 5 x 10 4 Pa. However, in at least one non-limiting embodiment In this state, mixture 101 has a storage modulus of approximately 1×10 7 Pa or less, e.g., about 2×10 6 Pa The storage modulus of the mixture 101 may be between any of the minimum and maximum values ​​mentioned above. It will be understood that the range may be.

[0026] Storage modulus was measured using ARES or AR-G2 with Peltier plate temperature control system. The rheology is measured using a parallel plate system with a rotational rheometer. The object 101 is pushed into a gap between two plates spaced approximately 8 mm apart. After the gel is extruded into the gap, the distance between the two plates that define the gap can be reduced by mixing Shrink the mixture 101 until it completely fills the gap between the plates, down to 2 mm. Wipe off excess mixture. After removing the gap, the gap is reduced by 0.1 mm intervals and the test is started. This test is called oscillatory strain sweep. The test equipment was set to a strain range of 0.01% to 100%, 6.28rad / sec (1H z) using 25mm parallel plates and recording points 10 / decade. Test complete Within one hour after the test, the gap is reduced again by 0.1 mm and the test is repeated. The first test may be different from the second and third tests. Only results from the second and third tests of specimens should be reported.

[0027] Additionally, to facilitate processing and forming of shaped abrasive particles according to embodiments herein, The mixture 101 may have a particular viscosity. For example, the mixture 101 may have a viscosity of at least about 2 ×10 3 Pa s, e.g., at least about 3×10 3 Pa s, at least about 4 × 10 3 Pa s, at least about 5 × 10 3 Pa s, at least about 6 × 10 3 Pa s, less Both are about 8 x 10 3 Pa s, at least about 10 × 10 3 Pa s, at least about 20 x 1 0 3 Pa s, at least about 30 × 10 3 Pa s, at least about 40 × 10 3 Pa s , at least about 50×10 3 Pa s, at least about 60 × 10 3 Pa s, or less At most about 65 x 10 3 In at least one non-limiting embodiment, Mixture 101 has a viscosity of about 100×10 3 Pa s or less, for example, about 95 × 10 3 P as or less, approximately 90×10 3 Pa s or less, or even about 85 × 10 3 Pa s or less The viscosity of the mixture 101 may be within a range between any of the minimum and maximum values ​​mentioned above. It will be understood that viscosity can be measured in the same manner as the storage modulus described above. This can be done.

[0028] Additionally, mixture 101 facilitates the processing and formation of shaped abrasive particles according to embodiments herein. In order to facilitate the mixing, for example, organic materials may be added to the liquid at a specific content, including organic additives, which may differ from the liquid. Some suitable organic additives include stabilizers, binders, e.g., Examples include fructose, sucrose, lactose, glucose, UV-curable resins, etc. can.

[0029] Notably, the embodiments herein are different from the slurries used in conventional forming operations. Mixtures 101 can be utilized that can be distinct. For example, the organic The content of any of the materials, particularly the organic additives mentioned above, may be adjusted relative to the other components in the mixture 101. In at least one embodiment, the mixture 101 is a mixture The organic material may comprise about 30% or less of the total weight of 101. The amount of organic material may be less, for example, about 15% by weight or less, about 10% by weight or less, or or even about 5% by weight or less. In one embodiment, the amount of organic material in the mixture 101 is at least about 0.5% by weight of the total weight of the mixture 101. 01% by weight, for example, at least about 0.5% by weight. It will be appreciated that the amount of material may range between any of the minimum and maximum values ​​stated above. There will be.

[0030] Additionally, mixture 101 facilitates the processing and formation of shaped abrasive particles according to embodiments herein. In order to promote the formation of a liquid, the liquid is formed with a specific content of acid or base that is distinct from the liquid content. Some suitable acids or bases include nitric acid, sulfuric acid, citric acid, chloric acid, tartaric acid, liquorice acid, etc. Nitric acid additives include ammonium nitrate, ammonium citrate, and ammonium nitrate. According to one specific embodiment, the mixture 101 has a pH of less than about 5. and, more specifically, may have a pH in the range of about 2 to about 4.

[0031] The system 150 of FIG. 1 may include a die 103. As shown, the mixture 101 is The material is extruded from a die opening 105 disposed at one end of the die 103. As further shown, the extrusion may include passing the mixture 101 through a die. Applying a force 180 to the mixture 101 to encourage it to extrude through the opening 105. During extrusion within the application zone 183, the tool 151 becomes part of the die 103. Direct contact can be achieved to facilitate the extrusion of the mixture 101 into the tool hole 152. The filter 151 may be in the form of a screen as shown in FIG. extends over the entire thickness of the tool 151. The volume of the space configured to hold and mold 01 is defined by a bottom surface and a side surface. The hole 152 has a bottom surface and is formed to extend through a portion of the total thickness of the tool 151. This may be done.

[0032] The tool 151 may be formed from a metallic material, including, for example, a metal alloy such as stainless steel. In other cases, the tool 151 may be formed from an organic material, such as a polymer.

[0033] According to certain embodiments, a particular pressure may be used during extrusion. For example, the pressure may be: It may be at least about 10 kPa, for example at least about 500 kPa. In one non-limiting embodiment, the pressure used during extrusion is about 4 MPa or less. The pressure used to extrude the mixture 101 may be any minimum or maximum value as described above. It will be understood that the range between the maximum and minimum values ​​is within the range of 0.5 to 1.0 mm. Improved handling and formation of shaped abrasive particles due to the consistency of pressure delivered by 199 Of note, the uniformity of the mixture 101 and the width of the die 103 may be improved. Controlled delivery of the applied pressure provides improved processing control and improved dimensional properties of the shaped abrasive particles. It can be promoted.

[0034] Before placing the mixture 101 in the tool hole 152, a release agent is applied to the surface of the tool hole 152. 152, whereby the shaped abrasive particle precursors can be removed from the tool holes 152 after further processing. Such a process may be optional. It is not necessary to use the mold forming process to perform the molding process. The agent may include an organic material, such as one or more polymers (e.g., PTFE). In other cases, oil (synthetic or organic) can be applied to the surface of the tool hole 152 as a release agent. One suitable oil is peanut oil. The release agent may be applied by vapor deposition, spraying, printing, Apply in any suitable manner, including but not limited to brushing, coating, etc. It is possible.

[0035] The mixture 101 may be placed in a tool hole 152, which may include a tool hole 152 in any manner suitable for forming shaped abrasive particles having a shape corresponding to the shape of 152. It can be shaped.

[0036] Briefly referring to FIG. 2, a portion of tool 151 is shown. As shown, the tool The tool 151 includes a tool hole 152, more specifically a plurality of tool holes 152 extending within the volume of the tool 151. According to one embodiment, the tool hole 152 can accommodate a tool 151. The shape of the surface may be two-dimensional as seen in a plane defined by the length (L) and width (W) of the surface. The two-dimensional shapes can be, for example, polygons, ellipses, numbers, Greek letters, Latin letters, Russian letters, etc. Complex shapes, including combinations of polygonal shapes, and their combinations In a specific example, the tool hole 152 may include a variety of shapes, such as a rectangular, four-sided pentagon, hexagon, heptagon, octagon, nonagon, decagon, and combinations of these. Of note, the shaped abrasive particles of the embodiments herein may have a two-dimensional polygonal shape. As will be appreciated with further reference to the accompanying drawings, various other shapes may be used for the tool hole 152. This is also fine.

[0037] The tool 151 of FIG. 2 has tool holes 152 that are oriented in a particular manner relative to each other. Although shown as an orthogonal orientation, it will be appreciated that a variety of other orientations may be used. According to an embodiment, each of the tool holes 152 have substantially the same orientation relative to one another; For example, the tool holes 152 may have substantially the same orientation relative to the surface of the screen. Each of the tool holes 152 extends laterally along the lateral axis 158 of the tool 151. The first edge 154 may define a first surface 155 of a first row 156. 5 may extend in a direction substantially perpendicular to the longitudinal axis 157 of the tool 151. However, However, in other cases, the tool holes 152 do not necessarily have to have the same orientation relative to one another. It will be well understood.

[0038] Additionally, the first row 156 of tool holes 152 is adapted for specific processing and controlled shaping of the shaped abrasive particles. For example, the tool hole 152 may be oriented with respect to the direction of movement to facilitate the formation of the tool hole 152. The first face 155 of the first row 156 defines an angle with respect to the direction of travel 171. As shown, the first surface 155 may be disposed on the tool 151 so as to move the An angle may be defined that is substantially perpendicular to the direction 171. Thus, the tool holes 152 may be configured with a first surface 155 of a first row 156, e.g., an acute angle or a blunt angle. The tool 151 may be arranged to define other angles relative to the direction of movement, including corners. Additionally, the tool holes 152 do not necessarily have to be arranged in rows. 152 are arranged in various specific ordered distributions relative to one another, for example in the form of two-dimensional patterns. Alternatively, the openings may be arranged in the tool 151 in a random fashion. It may be placed.

[0039] Referring again to FIG. 1, during operation of the system 150, the tool 151 is As will be appreciated, the tool 151 may be moved in a direction of 153 to facilitate It may be in the form of a continuous belt that can move over rollers to facilitate continuous processing. In some embodiments, the tool 151 extrudes the mixture 101 through the die opening 105. As shown in the system 150, the mixture 101 can be moved while The moving direction 153 of the tool 151 corresponds to the extrusion direction of the mixture 101. The angle between the moving direction 153 and the pushing direction 191 may be set to Although the angles are shown in system 100 as substantially right angles, they may also be acute or blunt angles, for example. Other angles, including corners, are contemplated. After the mixture 101 is extruded through the die opening 105, The mixture 101 and the tool 151 are placed under a knife edge 107 on the surface of the die 103. The mixture 101 may be moved by the knife blade 107 into the tool hole 152 of the tool 151. A front region of the die 103 can be defined that facilitates moving the die 103 to the

[0040] In the molding process, the mixture 101 undergoes significant Therefore, the molding is mainly performed by a tool for molding the mixture 101. This may be due to substantial drying and solidification of the mixture 101 within the holes 152. In some instances, shaped abrasive particles formed by a molding process may be molded in other processes, such as by casting. Compared to clean printing processes, the resulting shape more closely replicates the features of the mold cavity. However, certain beneficial geometrical properties can be more easily achieved by the screen printing process. Note that this is easily accomplished.

[0041] After applying the release agent, the mixture 101 can be poured into a mold cavity and dried. or removing specific amounts of certain materials, including volatile substances such as organic materials, from the mixture 101. According to one embodiment, the drying process may include removing the For example, about 250° C. or less, about 200° C. or less, about 150° C. or less, about 100° C. or less, about 80° C. or less C. or less, about 60.degree. C. or less, about 40.degree. C. or less, or even about 30.degree. C. or less. Further, in one non-limiting embodiment, the drying process is performed at a temperature of at least about -20°C. , for example, at least about -10°C, at least about 0°C, at least about 5°C, at least about Drying may be performed at a drying temperature of 10° C., or even at least about 20° C. The drying temperature may be It will be understood that the temperature may range between any of the minimum and maximum temperatures stated above.

[0042] In certain instances, drying facilitates the formation of shaped abrasive particles according to embodiments herein. For example, drying may be performed for at least about 1 minute, e.g., At least about 2 minutes, at least about 4 minutes, at least about 6 minutes, at least about 8 minutes, At least about 10 minutes, at least about 30 minutes, at least about 1 hour, at least about 2 hours at least about 4 hours, at least about 8 hours, at least about 12 hours, at least about 1 The incubation period may be at least about 5 hours, at least about 18 hours, or at least about 24 hours. In some cases, the drying process may take place over a period of about 30 hours or less, such as over a period of about 24 hours or less, such as over a period of about 20 hours or less. Below, about 15 hours or less, about 12 hours or less, about 10 hours or less, about 8 hours or less, about 6 hours or less, The drying period may be about 4 hours or less. The drying period may be within a range between any of the minimum and maximum values ​​set forth above. It will be understood that the present invention may be practiced in accordance with the present invention.

[0043] Additionally, drying may be performed to promote the formation of shaped abrasive particles according to embodiments herein, particularly For example, drying may be performed at a relative humidity of at least about 20%, at least about 30%. , at least about 40%, at least about 50%, at least about 60%, for example, at least About 62%, at least about 64%, at least about 66%, at least about 68%, at least About 70%, at least about 72%, at least about 74%, at least about 76%, at least It may be carried out at a relative humidity of about 78%, or even at least about 80%. In routine embodiments, the dryness is about 90% or less, e.g., about 88% or less, about 86% or less, About 84% or less, about 82% or less, about 80% or less, about 78% or less, about 76% or less, about 74% or less lower, about 72% or less, about 70% or less, about 65% or less, about 60% or less, about 55% or less, about 50 % or less, about 45% or less, about 40% or less, about 35% or less, about 30% or less, or even about Drying may be performed at a relative humidity of up to 25%. The relative humidity used during drying should be in the range of the above percentages. It will be understood that the range may be between any minimum and maximum value.

[0044] After the drying process is complete, the mixture 101 is removed from the tool hole 152 and molded. It is noteworthy that the mixture 101 is forced through the tool hole 152. before removing the mixture 101 from the mold or after removing the mixture 101 to form the shaped abrasive particle precursors. One or more post-forming processes may be completed. Such processes include surface molding, curing, and , reacting, irradiating, planarizing, calcining, sintering, sieving, doping, and combinations thereof. For example, in one optional process, the mixture 101 or shaped abrasive grains The precursors of the powder may be moved through an optional shaping zone, where the mixture or shaped abrasives are At least one outer surface of the particle precursor may be shaped. In yet another embodiment, the mold cavity The mixture 101 or shaped abrasive particle precursor as contained in the mixture 101 may include an optional additional zone. The dopant material is then transferred through the substrate, where it can be applied. The process of applying the abrasive material comprises applying at least one of the mixture 101 or the shaped abrasive particle precursors. The method may include selectively disposing a dopant material on the outer surface of the substrate.

[0045] The dopant material may be applied by, for example, spraying, dipping, vapor deposition, impregnation, transfer, punching, cutting, pressing, The composition can be applied using a variety of methods, including grinding, milling, and any combination thereof. In some embodiments, the application of the dopant material includes the application of a specific material, e.g., a precursor. In certain cases, the precursors may be incorporated into the ultimately formed shaped abrasive particles. The metal salt may be a salt, such as a metal salt, that contains the dopant material to be added. The salt material may include an element or compound that is a precursor of the base material. It will be understood that the salt may be in liquid form, such as a dispersion containing nitrogen. In other embodiments, the salts may include chlorides, sulfates, and more specifically, nitrates. In one embodiment, the salt may be a metal salt, a phosphate salt, or a combination thereof. The metal nitrate may be an acid salt, and more specifically may consist essentially of a metal nitrate. In this embodiment, the dopant material is an alkali element, an alkaline earth element, a rare earth element, hafnium, Zirconium, niobium, tantalum, molybdenum, vanadium, or combinations thereof In one specific embodiment, the dopant may include an element or compound such as a dopant. The materials include lithium, sodium, potassium, magnesium, calcium, and strontium. tungsten, barium, scandium, yttrium, lanthanum, cesium, praseodymium, nickel Obs, hafnium, zirconium, tantalum, molybdenum, vanadium, chromium, cobalt iron, germanium, manganese, nickel, titanium, zinc, and combinations thereof or compounds containing these elements.

[0046] The molding process may further include a sintering process. For sintering, the mixture is ejected from the tool cavity 152 to form shaped abrasive particle precursors. Sintering of the shaped abrasive particle precursors 123 may be performed after the particles (usually green bodies) have been sintered. In a specific example, the sintering process may be used to increase the density of a sintered body (which is in a sintered state). The formation of high temperature ceramic material phases may be promoted. For example, in one embodiment, the shaped abrasive particles The precursor may be sintered so that a high temperature alumina phase, such as an alpha alumina phase, is formed. In some cases, the shaped abrasive particles comprise at least about 90% alpha alumina by weight of the total weight of the particle. In other cases, the shaped abrasive particles may consist essentially of alpha alumina. The sodium content may be higher.

[0047] The body of the final formed shaped abrasive particle may have a particular two-dimensional shape. A body may have a two-dimensional shape as seen in a plane defined by the length and width of the body. Square shapes, oval shapes, numbers, Greek letters, Latin letters, Russian alphabet, polygonal shapes The shape may include complex shapes using combinations of shapes, and combinations thereof. Specific polygonal shapes include rectangles, trapezoids, pentagons, hexagons, heptagons, octagons, and nonagons. In another example, the final shape may be a square, a hexagon, a decagon, or any combination thereof. The shaped abrasive particles are irregular quadrilateral, irregular rectangular, irregular trapezoidal, irregular pentagonal, Shape, irregular hexagon, irregular heptagon, irregular octagon, irregular nonagon, irregular decagon The body may have a two-dimensional shape, such as an irregular shape, a rectangular ... A polygonal shape is one in which at least one dimension (e.g., length) of a side defining the polygon is different from another side. As shown in other embodiments herein, certain shaped abrasive grains The two-dimensional shape of the product may have a certain number of external points or corners. For example, the The body may have a two-dimensional polygonal shape as viewed in a plane defined by a length and a width, , the body has at least four exterior points (e.g., a quadrilateral), at least five exterior points (e.g., , pentagon), at least six outer points (e.g., hexagon), at least seven outer points (e.g., , heptagon), at least eight outer points (e.g., octagon), at least nine outer points (e.g., It has a two-dimensional shape such as a polygon (e.g., nonagon).

[0048] FIG. 3 is a cross-sectional view of a shaped abrasive particle showing certain features of shaped abrasive particles according to embodiments herein. Such cross-sectional views may include any one or more of the shapes, configurations or dimensions described herein. The method may be applied to any of the exemplary shaped abrasive particle embodiments to determine the mechanical properties. It will be understood that the body of the shaped abrasive particle has an upper major surface 303 (i.e., a first a bottom major surface 304 opposite the top major surface 303 (i.e., a second major surface The top surface 303 and the bottom surface 304 are separated from each other by a side surface 314. It's fine.

[0049] In certain instances, the shaped abrasive particles of embodiments herein may have an average height difference. This is, h c and m It is a measure of the difference between the The method is the height of the corner (h c ) and the height of the midpoint edge of the opposite corner (h m ) to determine the distance Additionally, the body 301 may have an internal height (h i ), which may be The dimension of the body 301 measured along the dimension between any corner of the body 301 and the opposite midpoint edge For convenience in this specification, the average height difference is usually referred to as h c -h m However, this is defined as the absolute value of the difference. Therefore, the average height difference is the height of the main body 301 at the side 314 to the corner 313. If the height is higher than the height at m -h c It will be understood that it may be calculated as More specifically, the average height difference is calculated by dividing the average height difference by the average height difference of a plurality of molded abrasive grains from a suitable sample size. The particle heights hc and hm can be calculated based on the et Techniques Industrielles de la Lumier e-France) Micro Measure 3D Surface Profi lometer (white light (LED) chromatic aberration technique) can be used to measure the average height The difference is the h of the sample. c and h m It can be calculated based on the average value of

[0050] As shown in FIG. 3, in one specific embodiment, the body 30 of the shaped abrasive particle 300 1 may have different average height differences at different locations on the body 301. The body 301 has a first corner height Sa(h c ) and the second midpoint height (h m ) and [h c -h m ] is the absolute value of the average elevation difference can be very low, so that the particles are relatively flat, about 300 microns or less, e.g. For example, about 250 microns or less, about 220 microns or less, about 180 microns or less, about 150 microns or less, about 100 microns or less, about 50 microns or less, or even about 20 microns or less. It has an average elevation difference less than Ron.

[0051] The body of a shaped abrasive particle herein is the longest dimension of the body and extends along a side. The shaped abrasive particles may have a width (W) that passes through the midpoint of the body and divides the body. The body may further have a height (H), which may be The present invention extends in a direction perpendicular to the length and width of the body 301 defined by the sides thereof. In certain cases, the width may be greater than or equal to the length, and the length may be greater than or equal to the height. and the width may be greater than or equal to the height.

[0052] In a specific example, the body 301 may be formed with a linear aspect ratio, which is a ratio expressed as width:length and has a value of at least 1:1. The body 301 has a primary aspect ratio (W:L) of at least about 1.5:1, e.g. at least about 2:1, at least about 4:1, or even at least about 5:1. In yet other instances, the abrasive particles 300 may be formed such that the body 301 has a ratio of about 10:1 or more. For example, a primary aspect ratio of 9:1 or less, about 8:1 or less, or even about 5:1 or less. The body 301 may be formed to have a primary thickness within a range between any of the ratios mentioned above. It will be understood that the heights in this specification may have different aspect ratios. It is understood that the reference may be to the maximum measurable height of the abrasive particle 300. It would be.

[0053] In addition to the primary aspect ratio, the abrasive particle 300 has a body 301 that has a secondary aspect ratio. The secondary aspect ratio may be defined as the ratio of length:height (where The height is the median internal height (Mh i In certain cases, two The aspect ratio is at least about 1:1, e.g., at least about 2:1, e.g., at least about 4:1. :1, or even at least about 5:1. In yet other cases, the abrasive particles 300, the main body 301 has a ratio of about 1:3 or less, for example, 1:2 or less, or even about 1:1 The body 301 may be formed to have a secondary aspect ratio of: The secondary aspect ratio may be within a range between about 5:1 and about 1:1. It will be understood that

[0054] According to another embodiment, the abrasive particle 300 is configured such that the body 301 has a cubic aspect ratio. The tertiary aspect ratio may be determined by the ratio of width:height (where the height is Median internal height (Mh iThe tertiary aspect ratio of the body 301 is defined as , at least about 1:1, for example, at least about 2:1, at least about 4:1, at least It may be about 5:1, or even at least about 6:1. In the abrasive particle 300, the body 301 has a ratio of about 3:1 or less, for example, 2:1 or less, or even Alternatively, the body 301 may be formed to have a tertiary aspect ratio of about 1:1 or less. , and tertiary aspect ratios within any of the above ratios, for example, within the range of about 6:1 to about 1:1. It will be appreciated that the ratio may be any number.

[0055] According to one embodiment, the body 301 of the shaped abrasive particle 300 may have certain dimensions, which For example, in one embodiment, the body 301 has an internal height (h i ) , measured along the dimension between any corner of the body 301 and the opposite midpoint edge. In a specific example, the inner height ( h i ) is the sum of three measurements taken between each of the corners and the midpoint edge of the opposite side. The smallest height dimension of the body 301 (i.e., the measurement between the bottom surface 304 and the top surface 305) The internal height (h i ) is shown in Figure 3 According to one embodiment, the internal height (h i ) may be at least about 20% of the width (W) This height (h i ) is used to divide or place and grind the molded abrasive particles 300, and to form the body 301 The smallest internal height (h i ) by a method sufficient to determine the In one specific embodiment, the amount of the ion exchange reaction can be measured by checking with EM. This height (h i ) is at least about 22% of the width of the body 301, e.g., at least about 25%, at least about 30%, or even at least about 33%. For the limited embodiment, the height (h i ) is about 80% of the width of the main body 301 For example, about 76% or less of the width, about 73% or less, about 70% or less, about 68% or less of the width, The width of the body 30 may be about 56% or less, about 48% or less, or even about 40% or less. Height of 1 (h i It is understood that the percentage may range between any of the minimum and maximum percentages set forth above. It will be understood.

[0056] Median internal height (Mh i ), which can help improve performance. In some cases, shaped abrasive particles may be produced in batches. Specifically, the internal height (h i ) inside The median value is related to the median width of the shaped abrasive particles for that batch in the same manner as described above. It is noteworthy that the median internal height (Mh i ) should be at least about 20% of the width, e.g. For example, at least about 22%, at least about 25%, of the median width of the shaped abrasive particles of the batch. It may be at least about 30%, or even at least about 33%. For the embodiment, the median inner height (Mh i ) is the median width of the main body 301 about 80% or less of the width, for example, about 76% or less of the width, about 73% or less of the width, about 70% or less of the width, about 68% or less of the width 56% or less of the width, about 48% or less of the width, or even about 40% or less of the width. The median inner height of the main body 301 (Mhi ) is a range between any minimum and maximum percentages mentioned above. It will be understood that the range may be within the range.

[0057] Additionally, batches of shaped abrasive particles may vary in standard deviation of dimensional properties from the preferred sample size. According to one embodiment, the shaped abrasive particles may exhibit improved dimensional uniformity as measured by: Internal height variation (Vh i ), which may include a suitable sampling of particles from a batch. Internal height (h i ) as the standard deviation of According to the, the internal height variation is about 60 microns or less, for example, about 58 microns or less, about 56 It can be less than or equal to about 54 microns. In this state, the internal height fluctuation (Vh i ) may be at least about 2 microns. It will be appreciated that the height variation can be within a range between any of the minimum and maximum values ​​set forth above. Wax.

[0058] According to another embodiment, the body 301 of the shaped abrasive particle 300 has a diameter of at least about 70 microns. The height of the lid may be determined by the internal height (h i ) may be used. More specifically, The thickness is at least about 80 microns, e.g., at least about 90 microns, at least about 1 00 microns, at least about 110 microns, at least about 120 microns, at least About 150 microns, at least about 175 microns, at least about 200 microns, At least about 225 microns, at least about 250 microns, at least about 275 microns, or or even at least about 300 microns. Then, the height of the main body 301 is about 3 mm or less, for example, about 2 mm or less, about 1.5 mm or less, About 1 mm or less, or even about 800 microns or less, about 600 microns or less, about 500 microns or less, about 475 microns or less, about 450 microns or less, about 425 microns or less, About 400 microns or less, about 375 microns or less, about 350 microns or less, about 325 microns or less 100 microns or less, about 300 microns or less, about 275 microns or less, or even about 250 microns or less. The height of the body 301 may be within a range between any of the minimum and maximum values ​​mentioned above. It will be understood that the range of values ​​set forth above may vary depending on the batch of shaped abrasive particles. Median internal height (Mh i It will be understood that the values ​​of

[0059] For certain embodiments herein, the body 301 of the shaped abrasive particle 300 may be, for example, For example, the dimensions may be specific, including width >= length, length >= height, and width >= height. The body 301 of the shaped abrasive particle 300 is at least about 200 microns, e.g., at least At least about 250 microns, at least about 300 microns, at least about 350 microns, At least about 400 microns, at least about 450 microns, at least about 500 microns , at least about 550 microns, at least about 600 microns, at least about 700 microns lon, a width of at least about 800 microns, or even at least about 900 microns ( In one non-limiting example, the body 301 may have a width of about 4 mm or less, e.g., about The body 30 may have a width of about 3 mm or less, about 2.5 mm or less, or even about 2 mm or less. It will be appreciated that the width of 1 can range between any of the minimum and maximum values ​​set forth above. Additionally, the range of values ​​above may represent the median width (Mw) of a batch of shaped abrasive particles. It will be understood that.

[0060] The body 301 of the shaped abrasive particle 300 may be, for example, at least about 0.4 mm, e.g., at least about 0.5 mm. at least about 0.6 mm, at least about 0.8 mm, or even at least about 0.9 mm The length of the rib (Lmiddle or LP) may be at least For another non-limiting embodiment, the body 301 may be about 4 mm or less, for example about 3 mm or less. The body 301 may have a length of about 1 mm or less, about 2.5 mm or less, or even about 2 mm or less. It will be appreciated that the length of the can range between any of the minimum and maximum values ​​stated above. Additionally, the range of values ​​above may represent the median length (Ml) of a batch of shaped abrasive particles. , which is more specifically the median mid-length (MLmiddle) or profile length It will be understood that the distance between the first and second electrodes may be the median length (MLp).

[0061] The shaped abrasive particle 300 may have a body 301 with a certain amount of recession, where: The recess value (d) is the smallest height dimension (h i ) compared to Average height of the main body 301 at the corners (Ah c ) at the corners. Average height of main body 301 (Ah c ) measures the height of the main body 301 at all corners, This can be calculated by taking the average of the values ​​of Height value (h c ) The average height of the body 301 at the corners or inside may be distinctly different from ,STIL(Sciences et Techniques Industriell) Micro Measure 3 of Lumiere-France D Surface Profilometer (white light (LED) chromatic aberration technique) Alternatively, the indentation can be measured from a suitable sampling of particles from a batch. The median particle height (Mh c ) can be based on the Part height (h i ) is derived from a suitable sampling of shaped abrasive particles from a batch. Median internal height (Mh i According to one embodiment, the concavity value (d) can be about 2 or more. For example, about 1.9 or less, about 1.8 or less, about 1.7 or less, about 1.6 or less, about 1.5 or less , or even less than about 1.2. In some embodiments, the concavity value (d) may be at least about 0.9, such as at least about 1.0. It is understood that the concavity ratio can be within a range between any of the minimum and maximum values ​​stated above. Furthermore, the above range of dent values ​​is based on the median dent value (Md) of a batch of shaped abrasive particles. It will be understood that the above can be expressed as:

[0062] For example, the shaped abrasive particles of embodiments herein, including the body 301 of the particle in FIG. 304, and the base area (A b In a specific example, the bottom surface 304 defines the body 3 The bottom major surface 304 may be the largest surface of the bottom major surface 301. b ) The upper major surface 303 may have a surface area that is different from the surface area of ​​the upper major surface 303. In an embodiment, the bottom major surface 304 has a bottom area (A b ) and has a surface area defined as Often, this is different from the surface area of ​​the top major surface 303. 04 is the base area (A b ), which is defined as the surface area of ​​the upper major surface 303 smaller than the surface area.

[0063] In addition, the body 301 has a base area (A b ) and passes through the midpoint 381 of the particle 300 , the midpoint cross-sectional area (A m In one particular example, the body 301 may include is the base area and midpoint area (A b / A m ) may be 6 or less. In examples, the area ratio is about 5.5 or less, e.g., about 5 or less, about 4.5 or less, about 4 or less, about 3. It can be about 5 or less, or even about 3 or less. Further, in one non-limiting embodiment, The area ratio is at least about 1.1, such as at least about 1.3, or even at least The area ratio may be within a range between any of the minimum and maximum values ​​set forth above. It will be understood that the above area ratios may vary depending on the surface area of ​​the batch of shaped abrasive particles. It will be appreciated that the ratio may represent the median product ratio.

[0064] Additionally, the shaped abrasive particles of embodiments herein, including, for example, the particles of FIG. The normalized height difference may be about 0.3 or less. The normalized height difference is calculated by the formula [(h c -h m ) / ( h i In another embodiment, the normalized elevation difference can be defined as the absolute value of can be about 0.26 or less, such as about 0.22 or less, or even about 0.19 or less. Furthermore, in one specific embodiment, the normalized elevation difference is at least about 0.0 4, for example, at least about 0.05, or even at least about 0.06. Note that the normalized elevation difference may be within a range between any of the minimum and maximum values ​​mentioned above. It will be appreciated that the normalized height values ​​given above are based on the batch size of the shaped abrasive particles. It will be appreciated that the height may represent the median of the normalized height values ​​of

[0065] The shaped abrasive particle 300 has a body 301 that includes a crystalline material, more specifically a polycrystalline material. Of note, the polycrystalline material may include abrasive grains. In some embodiments, the body 301 may be essentially free of organic materials, such as binders. In particular, the body 301 can consist essentially of a polycrystalline material.

[0066] In one embodiment, the bodies 301 of the shaped abrasive particles 300 are bonded together to form the abrasive particles 300. The abrasive particles, sand grains, and / or crystal grains form a body 301 of the abrasive material. Suitable abrasives include nitrides, oxides, carbides, borides, oxynitrides, oxyborides, and the like. In particular examples, the abrasive grains may include carbides, diamonds, and combinations thereof. The oxide compounds or complexes include, for example, aluminum oxide, zirconium oxide, Titanium oxide, yttrium oxide, chromium oxide, strontium oxide, silicon oxide, and the like In one specific example, the abrasive particles 300 may include a body 301 having a combination of The abrasive grains are preferably made of alumina, more preferably made of alumina. Further, in a specific embodiment, the shaped abrasive particles 300 are formed from a seed sol-gel. It can be formed.

[0067] The abrasive grains (i.e., crystals) contained within body 301 typically have an average diameter of about 100 microns or less. In other embodiments, the average particle size may be smaller, for example, about 80 microns or less, about 50 microns or less, about 30 microns or less, about 20 microns or less, about 10 Submicron, or even about 1 micron or less, about 0.9 microns or less, about 0.8 microns or less 10 microns or less, about 0.7 microns or less, or even about 0.6 microns or less. Further, the abrasive grains contained in the body 301 have an average grain size of at least about 0.01 microns, e.g. For example, at least about 0.05 microns, at least about 0.06 microns, at least about 0. 0.07 microns, at least about 0.08 microns, at least about 0.09 microns, at least At least about 0.1 microns, at least about 0.12 microns, at least about 0.15 microns at least about 0.17 microns, at least about 0.2 microns, or even less The abrasive grain may be at least about 0.5 microns in diameter. The abrasive grain may be between any of the minimum and maximum values ​​set forth above. It will be understood that the average particle size may fall within a range.

[0068] According to one particular embodiment, the abrasive particles 300 have at least two different The different types of grains may have different compositions. For example, the body 301 may have at least two The crystal grains may be formed to include two different types of crystal grains, where the two different types of crystal grains The grains are nitrides, oxides, carbides, borides, oxynitrides, oxyborides, diamonds, etc. and combinations thereof.

[0069] According to one embodiment, the abrasive particles 300 are the largest particles that can be measured on the body 301. The particles may have an average particle size of at least about 100 microns, as measured by their largest dimension. In some cases, the abrasive particles 300 are at least about 150 microns, e.g., at least about 200 microns. microns, at least about 300 microns, at least about 400 microns, at least about 5 00 microns, at least about 600 microns, at least about 700 microns, at least It may have an average particle size of about 800 microns, or even at least about 900 microns. Further, the abrasive particles 300 may be about 5 mm or less, e.g., about 3 mm or less, about 2 mm or less, or The abrasive particles 300 may further have an average particle size of about 1.5 mm or less. It will be understood that the average particle size may be within the range between the minimum and maximum values.

[0070] The shaped abrasive particles of embodiments herein have a flushing percentage that can facilitate improved performance. Of note, the flashing may have a lateral view, as shown in FIG. The flashing defines an area of ​​particles that are The flashing extends from the upper surface 303 of the body 301 into the frames 402 and 403. The flashing may represent a tapered region adjacent the bottom surface 304 and the most distal end of the side of the body 301. also extends between an inner point (e.g., 421) and an outermost point (e.g., 422) on the side. It can be measured as a percentage of the area of ​​the body 301 along the side that is included within the frame. In one specific case, the body 301 may have a certain amount of flashing, which may be due to the frame 4 The area of ​​the main body 301 included in the frames 402 and 403 is included in the frames 402, 403, and 404. The percentage may be compared to the total area of ​​the body 301 that is included in the body 301. The flushing percentage (f) of may be at least about 1%. The flushing percentage may be higher, for example, at least about 2%, at least About 3%, at least about 5%, at least about 8%, at least about 10%, at least about 12 %, for example, at least about 15%, at least about 18%, or even at least about 2 0%. Further, in a non-limiting embodiment, the flushing part of the body 301 The cents can be controlled, which is about 45% or less, for example, about 40% or less, about 35% or less. % or less, about 30% or less, about 25% or less, about 20% or less, about 18% or less, about 15% or less, about 12% or less, about 10% or less, about 8% or less, about 6% or less, or even about 4% or less. The flushing percentage of the body 301 may be between any minimum and maximum percentages listed above. It will be understood that the flushing percentages described above may be in the range. , the average flushing percentage or flushing percentage of a batch of shaped abrasive particles It will be appreciated that the mean value may be represented.

[0071] The flushing percentage was determined by placing the molded abrasive particle 300 horizontally and pressing the main body 301 against the side. It can be measured by obtaining a black and white image as shown in FIG. A suitable program for this purpose is the ImageJ software. The shading percentage is determined by determining the area of ​​the body 301 within the frames 402 and 403, and the center 40 4 and the entire area of ​​the main body 301 including the area within the frame. Such a procedure can be completed for a suitable particle sample to obtain the mean, median, and and / or a standard deviation value may be generated.

[0072] FIG. 12A includes a perspective view of a shaped abrasive particle according to one embodiment. 12 includes a top view of a shaped abrasive particle according to the invention. As shown, shaped abrasive particle 1200 includes A top major surface 1203 (i.e., a first major surface) and a bottom surface opposite the top major surface 1203. A body 1201 may be included having a major surface 1204 (i.e., a second major surface). The surface 1203 and the bottom surface 1204 may be, for example, a first portion 1206 of a side surface 1205, a second portion 1207 of the face 1205 and a third portion 1208 of the side 1205; 1205, which may include one or more separate side portions. Specifically, the first portion 1206 of the side surface 1205 may be disposed at the first corner 120 9 and the second corner 1210. Notably, the first corner 1209 The first corner 1209 may be an exterior corner that joins two portions of the side surface 1205. The second corner 1210, which is also an outside corner, is adjacent to each other and has another outside corner between them. The corner of the body is divided into two straight lines when the body of the molded abrasive particles is viewed from above. It is defined by the joint between.

[0073] The second portion 1207 of the side surface 1205 is formed between the second corner 1210 and the third corner 1211. Notably, the second corner 1210 may extend between two portions of the side 1205. The second corner 1210 and the third corner 1211, which is also an outside corner, are connected to each other. 211 are adjacent to each other, and no other corners are disposed between them. The third portion 1208 of the first corner 1209 extends between the third corner 1211 and the first corner 1209. Both of these corners are adjacent corners with no other corners between them. It will not be placed.

[0074] Further, as shown in the perspective view of FIG. 12A, a first portion 1206 of the side surface 1205, a second portion 1206 of the side surface 1205, The second portion 1207 and the third portion 1208 have edges 1221, 1222, and The edges 1221, 1222, and 1223 may be connected to each other. 3 may extend between a top major surface 1203 and a bottom major surface 1204 .

[0075] Edge 1223 is formed by a corner 1211 of top major surface 1203 and a corner 1212 of bottom major surface 1204. The edge 1222 may extend between the corner 1210 of the upper major surface 1203 and the The edge 1221 may extend between the bottom major surface 1204 and the corner 1214 of the top major surface 1204. 1203 and a corner 1215 of the bottom major surface 1204.

[0076] As shown in FIG. 12A, the main body 1201 is disposed on the opposite side from the corner portion (e.g., 1210). The longest dimension extending to the midpoint of a side (e.g., the third portion 1208 of the side 1205) is It is worth noting that, in FIG. In some embodiments, such as shown in FIG. 1A, this length is It may extend through the midpoint 1281, but this is not necessarily the case in all embodiments. Additionally, the body 1201 may have a width (W), which may be determined by the discrete dimensions of the sides 1205. The length of the body 1201 is the measurement of the longest dimension along a side portion. It can be the distance between the top major surface 1203 and the bottom major surface 1204. As described in, the height may vary at different positions on the body 1201, for example at the corners of the body 1201. The dimensions of the outer and inner parts may vary.

[0077] As shown, the body 1201 of the shaped abrasive particle 1200 has a top surface 1203 parallel to the The shape of the body may be generally polygonal as viewed in the plane, and more specifically, the width and length of the body may be generally polygonal as viewed in the plane ( i.e., having five outer points or corners, as seen in the top view shown in FIG. 12B. It may have a hybrid polygonal two-dimensional shape.

[0078] As described in other embodiments herein, the body 1201 may be any of the embodiments herein. The primary aspect ratio (which may be expressed as width:length) having the value stated In other cases, the body 1201 may be formed to have a linear aspect ratio (W :L) is at least about 1.5:1, for example, at least about 2:1, at least about 4:1 or even at least about 5:1. In the abrasive particle 1200, the body 1201 has a ratio of about 10:1 or less, for example, 9:1 or less, and formed to have a primary aspect ratio of about 8:1 or less, or even about 5:1 or less. The body 1201 may have a primary aspect ratio within a range between any of the ratios listed above. It will be understood that.

[0079] In addition to the primary aspect ratio, the abrasive particle 1200 has a body 1201 that has a secondary aspect ratio and the secondary aspect ratio is the ratio of length:height, where: This height is the median inner height (Mh i) may be In certain cases, the secondary aspect ratio may be defined as at least about 1:1, e.g. For example, the ratio may be at least about 2:1, at least about 4:1, or even at least about 5:1. In yet other instances, the abrasive particles 1200 may have a ratio of about 1:3 or less for the body 1201. For example, the shaped to have a secondary aspect ratio of 1:2 or less, or even about 1:1 or less. The body 1201 may be formed of any of the ratios described above, for example, from about 5:1 to about 5:1. It will be appreciated that it may have a secondary aspect ratio in the range of 1:1.

[0080] According to another embodiment, the abrasive particle 1200 has a body 1201 with a cubic aspect ratio. The tertiary aspect ratio may be defined as the ratio of width:height (where is the median inner height (Mh i The tertiary asperity of the body 1201 is defined by The aspect ratio is at least about 1:1, e.g., at least about 2:1, at least about 4:1, It may be at least about 5:1, or even at least about 6:1. In the abrasive particle 1200, the body 1201 has a ratio of about 3:1 or less, for example, 2:1 or less, The body 12 may further be formed to have a tertiary aspect ratio of about 1:1 or less. 01 is a tertiary aspartate within any of the ratios described above, for example, within the range of about 6:1 to about 1:1. It will be appreciated that the aspect ratio may be any ratio.

[0081] In one embodiment, the body 1201 of the shaped abrasive particle 1200 has a side having a partially concave shape. 12B, the first portion 1206 of the surface 1205 may be partially recessed. The curved shape includes a curved section 1242, and the length of the first curved section (Lc1) is 5, adjacent corners 1209 over a small portion of the entire length (Lfp1) of the first portion 1206. In one embodiment, the total length (Lfp1) extends between the length of the body 1201 and the length of the Furthermore, as further shown in the embodiment of Figures 12A and 12B , the first curved section 1242 is between the first straight section 1241 and the second straight section 1243. The first straight section 1241 may be disposed at the corner portion 1209 of the main body 1201. 1205 , and a first end 1206 of the side 1205 over a length (L11). 1241 and 1242. The first curved section 1242 and the first straight section 1241 may terminate at two ends. An inside corner 1245 may be defined, which may be formed by a first straight section 1241 and a first curved section 124 2 may define a first interior angle 1247 having an obtuse angle value. The second straight line segment 1243 may be , terminating at a first end at a corner 1210 and extending along a length (Ll2) of the side 1205 1206 and includes a second straight section 1243 and a first curved section 124 2. The second straight section 1243 and the first curved The section 1242 can define a second inside corner 1246. The second inside corner 1246 can include a second Along with the straight section 1243 and the first curved section 1242, a second interior angle 124 having an obtuse angle value 8 can be defined.

[0082] As can be seen, the first straight section 1241 and the second straight section 1243 are shown in FIG. As shown in FIG. 1, the first curved section 1242 may be substantially straight when viewed from above. , may have a pronounced arcuate profile when viewed from above, as also shown in FIG. In certain cases, the body 1201 may be referred to as a hybrid polygon, where the output The sum of the corners is substantially 180 degrees, and at least a portion of the side (e.g., the first portion 1 206) has an arcuate curvature, such as the profile of the first curved section 1242.

[0083] As shown in FIG. 12B, the first straight section 1241 has a length (L 1), and the first curve section 1242 may have a first curve section length (Lc1). In one particular embodiment, the length of the first curved section 1242 is equal to or greater than the length of the first straight section 1241. (i.e., Lc1 ≧ Ll1). In a typical embodiment, the length of the first straight section 1241 is equal to or greater than the length of the first curved section 1242. In at least one particular case, the first The relationship between the length of the straight section 1241 and the first curved section 1242 is A length factor (Ll1 / Lc1) may be defined that may promote certain performance. For example, The number (Ll1 / Lc1) is about 1 or less, for example, about 0.95 or less, about 0.9 or less, about 0.8 or less. 5 or less, about 0.8 or less, about 0.75 or less, about 0.7 or less, about 0.65 or less, about 0.6 or less , about 0.55 or less, about 0.5 or less, about 0.45 or less, about 0.4 or less, about 0.35 or less, about 0.3 or less, about 0.25 or less, about 0.2 or less, about 0.15 or less, about 0.1 or less, about 0.0 5 or less. In yet another non-limiting embodiment, the length factor (Ll1 / Lc1) is , at least about 0.05, e.g., at least about 0.1, at least about 0.15, or It may even be at least about 0.2. The length factor (Ll1 / Lc1) may be any of the above. It will be understood that the range may be between the minimum and maximum values.

[0084] In at least one alternative embodiment, the body 1201 has another length factor (Lc1 / L l1) may be defined, which is suitable for promoting the improvement of the performance e of the shaped abrasive particles. and may be about 1 or less, for example, about 0.95 or less, about 0.9 or less, about 0.85 or less, about 0. 8 or less, about 0.75 or less, about 0.7 or less, about 0.65 or less, about 0.6 or less, about 0.55 or less Lower, about 0.5 or less, about 0.45 or less, about 0.4 or less, about 0.35 or less, about 0.3 or less, about 0.25 or less, about 0.2 or less, about 0.15 or less, about 0.1 or less, or even about 0.0 In yet another embodiment, the length factor (Lc1 / Ll1) may have a value of at least 5. at least about 0.05, e.g., at least about 0.1, at least about 0.15, or even may be at least about 0.2. The length factor (Lc1 / Ll1) may be any minimum value mentioned above. It will be understood that the range may be between and a maximum value.

[0085] As further shown, the second straight section 1243 can have a length (Ll2). In at least one embodiment, Ll1 and Ll2 may be substantially equal to each other. In yet other cases, Ll1 and Ll2 may be measurably different compared to one another.

[0086] In another embodiment, the second straight section 1243 is a curved section having a length that is greater than or equal to the length of the first curved section 1242. The length of the main body 1201 may be fixed, which may facilitate improving the performance of the main body 1201. In an embodiment, Lc1 may be equal to or greater than Ll2 (i.e., Lc1≧Ll2). In a specific embodiment, the length (Ll2) of the second straight section 1243 and the length (Ll3) of the first curved section 1244 are The relationship of the length of 42 (Lc1) to the length of 42 (Lc1) can define a length factor (Ll2 / Lc1), which is approximately 1 or less, for example, about 0.95 or less, about 0.9 or less, about 0.85 or less, about 0.8 or less, about 0 .75 or less, about 0.7 or less, about 0.65 or less, about 0.6 or less, about 0.55 or less, about 0.5 Below, about 0.45 or less, about 0.4 or less, about 0.35 or less, about 0.3 or less, about 0.25 or less , about 0.2 or less, about 0.15 or less, about 0.1 or less, about 0.05 or less. In another non-limiting embodiment, the length factor (Ll2 / Lc1) is at least about 0.05; For example, at least about 0.1, at least about 0.15, or even at least about 0. 2. The length factor (Ll2 / Lc1) may be in the range between any of the minimum and maximum values ​​mentioned above. It will be understood that the range may be within the range.

[0087] In yet another embodiment, the length (Ll2) of the second straight section 1243 and the length (Ll2) of the first curved section The relationship with the length of 1242 (Lc1) may define a different length coefficient (Lc1 / Ll2). This is preferably about 1 or less, for example, about 0.95 or less, about 0.9 or less, about 0.85 or less, about 0 .8 or less, about 0.75 or less, about 0.7 or less, about 0.65 or less, about 0.6 or less, about 0.55 less than or equal to about 0.5, less than or equal to about 0.45, less than or equal to about 0.4, less than or equal to about 0.35, less than or equal to about 0.3, About 0.25 or less, about 0.2 or less, about 0.15 or less, about 0.1 or less, about 0.05 or less In yet another non-limiting embodiment, the length factor (Lc1 / Ll2) is at least About 0.05, e.g., at least about 0.1, at least about 0.15, at least about 0.2 The length factor (Lc1 / Ll2) may range between any of the minimum and maximum values ​​listed above. It will be understood that the present invention may be practiced in accordance with the present invention.

[0088] The body 1201 has a first portion 1206 of the side surface 1205 that is the length of the first curved section 1242. The length (Ll1) of the first straight section 1241 and the length (Lc1) of the second straight section 1242 are 43 (Ll2), so that the linear sum The coefficient ((Ll1+Ll2) / Lc1) can be controlled to improve the performance of the main body 1201. According to at least one embodiment, the linear sum coefficient is less than or equal to about 1, for example, about 0.95. less than or equal to about 0.9, less than or equal to about 0.85, less than or equal to about 0.8, less than or equal to about 0.75, less than or equal to about 0.7, About 0.65 or less, about 0.6 or less, about 0.55 or less, about 0.5 or less, about 0.45 or less, about 0 .4 or less, not greater than about 0.35 or less, about 0.3 or less, about 0.35 or less, about 0.3 or less, About 0.25 or less, about 0.2 or less, about 0.15 or less, about 0.1 or less, or even about 0. In yet another non-limiting embodiment, the linear sum coefficient ((Ll1 + Ll 2) / Lc1) is at least about 0.05, for example, at least about 0.1, at least about 0.15, or even at least about 0.2. The linear sum coefficient ((Ll1 + Ll It is understood that Lc2) / Lc1) can be within a range between any of the minimum and maximum values ​​stated above. It will be possible.

[0089] In yet another embodiment, the body 1201 has a first portion 1206 of the side 1205. The length of the first straight section 1241 (Ll) is the same as the length of the first curved section 1242 (Lc1). 1) and the length (Ll2) of the second straight section 1243. As a result, the inverse linear sum coefficient ((Lc1 / (Ll1+Ll2)) is defined. The shape sum coefficient can be controlled to facilitate improving the performance of the body 1201. In this embodiment, the inverse linear sum coefficient (Lc1 / (Ll1+Ll2)) is about 1 or less, e.g. For example, about 0.95 or less, about 0.9 or less, about 0.85 or less, about 0.8 or less, about 0.75 or less, About 0.7 or less, about 0.65 or less, about 0.6 or less, about 0.55 or less, about 0.5 or less, about 0. 45 or less, about 0.4 or less, about 0.35 or less, about 0.3 or less, about 0.25 or less, about 0.2 or less It may be below about 0.15, below about 0.1, or even below about 0.05. In another embodiment, the inverse linear sum coefficient (Lc1 / (Ll1+Ll2)) is at least about 0. 05, e.g., at least about 0.1, at least about 0.15, or even at least The inverse linear sum coefficient (Lc1 / (Ll1+Ll2)) can be approximately 0.2. It will be understood that the range may be between the minimum and maximum values.

[0090] According to one embodiment, the first curved section 1242 facilitates improving the performance of the body 1201. , the length of a particular first curve section (Lfp1) relative to the total length (Lfp1) of the first portion 1206 is obtained. The total length (Lfp1) of the first portion 1206 may be equal to the width (W) of the main body 1201. In one particular case, the length of the first curved section (Lc1) is It may be a small portion of the entire length (Lfp1) of the first portion 1206 of 1205. For example, The relationship between the length of the curved section (Lc1) and the total length of the first portion 1206 (Lfp1) is expressed by the following length coefficient: A number (Lc1 / Lfp1) can be defined, which is about 1 or less, for example, about 0.95 or less, about 0 .9 or less, about 0.85 or less, about 0.8 or less, about 0.75 or less, about 0.7 or less, about 0.65 less than or equal to about 0.6, less than or equal to about 0.55, less than or equal to about 0.5, less than or equal to about 0.45, less than or equal to about 0.4, About 0.35 or less, about 0.3 or less, about 0.25 or less, about 0.2 or less, about 0.15 or less, about 0 In yet another non-limiting embodiment, the length factor may be less than or equal to about 0.1 and less than or equal to about 0.05. (Lc1 / Lfp1) is at least about 0.05, for example, at least about 0.1, The length factor (Lc1 / L It will be appreciated that fp1) may be within a range between any of the minimum and maximum values ​​stated above. There will be.

[0091] In addition to the body 1201, the first straight section 1241 helps improve the performance of the body 1201. The first portion 1206 may have a specific length (Ll1) relative to the total length (Lfp1) of the first portion 1206. In one particular case, the length of the first straight section (Ll1) is the length of the first part of the side 1205. For example, the length of the first straight section (L The relationship between the length factor (Ll1 / Lfp1) and the total length of the first portion 1206 (Lfp1) is 1), which can be defined as about 1 or less, for example, about 0.95 or less, about 0.9 or less, about 0.8 or less. 5 or less, about 0.8 or less, about 0.75 or less, about 0.7 or less, about 0.65 or less, about 0.6 or less , about 0.55 or less, about 0.5 or less, about 0.45 or less, about 0.4 or less, about 0.35 or less, about 0.3 or less, about 0.25 or less, about 0.2 or less, about 0.15 or less, about 0.1 or less, about 0.0 5 or less. In yet another non-limiting embodiment, the length factor (Ll1 / Lfp1 ) is at least about 0.05, e.g., at least about 0.1, at least about 0.15, or or even at least about 0.2. The length factor (Ll1 / Lfp1) is It will be understood that the range may be between any minimum and maximum value.

[0092] Further, the second straight section 1243 may facilitate improving the performance of the body 1201. The portion 1206 may have a specific length (Ll2) relative to its total length (Lfp1). In the example, the length of the second straight section (Ll2) is the total length of the first portion 1206 of the side surface 1205. For example, the length of the second straight section (Ll2) and the length of the first straight section (Lfp1) may be a small part of the length of the second straight section (Ll2). The relationship with the total length (Lfp1) of the portion 1206 may define a length factor (Ll2 / Lfp1). , which is about 1 or less, for example, about 0.95 or less, about 0.9 or less, about 0.85 or less, about 0. 8 or less, about 0.75 or less, about 0.7 or less, about 0.65 or less, about 0.6 or less, about 0.55 or less Lower, about 0.5 or less, about 0.45 or less, about 0.4 or less, about 0.35 or less, about 0.3 or less, about It may be 0.25 or less, about 0.2 or less, about 0.15 or less, about 0.1 or less, or about 0.05 or less. In yet another non-limiting embodiment, the length factor (Ll2 / Lfp1) is at least At least about 0.05, e.g., at least about 0.1, at least about 0.15, or even less. The length factor (Ll2 / Lfp1) may be at least about 0.2. It will be understood that the range may be between the maximum and minimum values.

[0093] As described herein and shown in the embodiment of FIGS. 12A and 12B , A first curved section 1242 is joined to a first straight section 1241 to define an inside corner 1245. Further, the first curved section 1242 may be connected to a second straight section 1243 to form an inside corner. In certain instances, the first curved section 1242 may define a curved portion 1246 of the body 1201. A first corner 1209 is defined at the junction of the first recessed corner 1245 spaced from the first recessed corner 1209. Further, the first curved section 1242 may have an end portion of the second corner portion 1201 of the body 1201. A second end defined at the juncture of the inside corner 1246 may be spaced apart from 210. Of note, in certain embodiments, the first portion 1205 of the side surface 1205 may have a 206 may include a first inside corner portion 1245 and a second inside corner portion 1246, which may be spaced apart from one another. Specifically, the first inside corner portion 1245 and the second inside corner portion 1246 are may be separated by a first curve section 1242, more specifically, the first curve section 1 The first recessed corners 1245 may be disposed at both ends of the first straight section 1241. The second recessed corner 1246 may be disposed at the edge between the first curved section 1242 and the first recessed corner 1246. It may be located at the edge between one curved section 1242 and a second straight section 1243 .

[0094] The first inside corner portion 1245, together with the first curved section 1242 and the first straight section 1241, , may define a first interior angle 1247 that may have an obtuse angle value. The first interior angle 1247 may be a first right angle. A tangent 1 of a line section 1241 to a first curve section 1242 extending from a first inside corner 1245 283. According to one embodiment, the first interior angle 1 247 may have a value of at least about 92 degrees to about 178 degrees. In at least one embodiment, the first interior angle 1247 is at least about 94 degrees, e.g., At least about 96 degrees, at least about 98 degrees, at least about 100 degrees, at least about 102 degrees degrees, at least about 104 degrees, at least about 106 degrees, at least about 108 degrees, at least About 110 degrees, at least about 112 degrees, at least about 120 degrees, at least about 122 degrees, At least about 124 degrees, at least about 126 degrees, at least about 128 degrees, at least about 13 0 degrees, at least about 132 degrees, at least about 134 degrees, at least about 136 degrees, at least The angle may also have a value of about 138 degrees, or even at least about 140 degrees. In this embodiment, the first interior angle 1247 is about 176 degrees or less, for example, about 174 degrees or less, for example, about 172 degrees or less. Below, about 170 degrees or less, about 168 degrees or less, about 166 degrees or less, about 164 degrees or less, about 162 degrees Below, about 160 degrees or less, about 158 ​​degrees or less, about 156 degrees or less, about 154 degrees or less, about 152 degrees Below, about 150 degrees or less, about 148 degrees or less, about 146 degrees or less, about 144 degrees or less, about 142 degrees The first interior angle 1247 may have a value of about 140 degrees or less, or even about 140 degrees or less. It will be understood that the range may be any value between any minimum and maximum value.

[0095] The second inside corner 1246, together with the first curved section 1242 and the second straight section 1243, , may define a second interior angle 1248 that may have an obtuse angle value. The line section 1243 and the tangent 1 of the first curve section 1242 extending from the second inside corner 1246 284. According to one embodiment, the second interior angle 1 248 may have a value of at least about 92 degrees to about 178 degrees. In at least one embodiment, the second interior angle 1248 is at least about 94 degrees, e.g., At least about 96 degrees, at least about 98 degrees, at least about 100 degrees, at least about 102 degrees degrees, at least about 104 degrees, at least about 106 degrees, at least about 108 degrees, at least About 110 degrees, at least about 112 degrees, at least about 120 degrees, at least about 122 degrees, At least about 124 degrees, at least about 126 degrees, at least about 128 degrees, at least about 13 0 degrees, at least about 132 degrees, at least about 134 degrees, at least about 136 degrees, at least The angle may also have a value of about 138 degrees, or even at least about 140 degrees. In this embodiment, the second interior angle 1248 is about 176 degrees or less, for example, about 174 degrees or less, such as about 172 degrees or less. Below, about 170 degrees or less, about 168 degrees or less, about 166 degrees or less, about 164 degrees or less, about 162 degrees Below, about 160 degrees or less, about 158 ​​degrees or less, about 156 degrees or less, about 154 degrees or less, about 152 degrees Below, about 150 degrees or less, about 148 degrees or less, about 146 degrees or less, about 144 degrees or less, about 142 degrees The second interior angle 1248 may have a value of about 140 degrees or less, or even about 140 degrees or less. It will be understood that the range may be any value between any minimum and maximum value.

[0096] As further shown, a first curved section 1242 of the first portion 1206 of the side 1205 may have a substantially concave shape and curve inwardly of the body 1201 toward the midpoint 1281. The first curve section 1242 is a single, distinct curve, as shown in FIGS. An arc having a curvature may be defined.

[0097] Additionally, the first curved section 1242 may facilitate improving the performance of the body. A specific radius of curvature (Rc 1). The radius of curvature may be determined by fitting a circle that best fits the curvature of the first curved section 1242. This can be determined by determining the radius of this best fitting circle. A computer program, for example ImageJ, is used to generate an image of the body 1201 at a suitable magnification ( In conjunction with a 3D image (e.g., SEM or optical microscope image), the best-fit circle can be accurately determined. According to one embodiment, the first curved section 1242 is a curved section of the body 120. 1, for example, at least about 0.8 of the width (W) of the main body 1201. 1.5 times the width (W) of the body 1201, or even 1.5 times the width ( In another embodiment, the radius of curvature (Rc1) is at least twice the radius of curvature (W). The diameter (Rc1) is about 50 times or less than the width (W) of the main body 1201. For example, Approximately 20 times or less of the width (W) of the main body 1201, approximately 15 times or less of the width (W) of the main body 1201 The thickness of the first body 1201 may be about 10 times or less, or even about 5 times or less than the width (W) of the first body 1201. The curve section 1242 has a radius of curvature (Rc1) within a range between any of the minimum and maximum values ​​mentioned above. ).

[0098] In at least one embodiment, the first curved section 1242 is 4 mm or less; or 3mm or less, or 2.5mm or less, or 2mm or less, or even 1.5mm or less In another embodiment, the first curved section 1242 may have a radius of curvature (Rc1). is at least 0.01 mm, for example at least 0.1 mm, or at least 0.5 mm, or at least 0.8 mm, or even at least 1 mm The radius of curvature of any of the curved sections described in the embodiments herein may be any of the above. It will be understood that the range may include any minimum and maximum values.

[0099] However, it is understood that a particular side of a aspect may include multiple curved sections. For example, FIG. 13 illustrates a body 1301 having a first portion 1306 of a side surface 1305. 13 includes an illustration of an embodiment of a shaped abrasive particle 1300 comprising: A first curved section 1342 disposed between the straight section 1341 and the second straight section 1343 Further, the first portion 1306 may include a second straight section 1343 and a third straight section 1345, and the second curved section 1344 may be disposed between the first curved section 1345 and the second curved section 1346. 44 may be spaced apart from the first curved section 1342. , and 1345 are any of the features of any straight section described in the embodiments of this specification. Similarly, curved sections 1342 and 1344 may have curves as described herein. It may have any of the features of the line section embodiments.

[0100] Further, a curved section having multiple curvatures, such as having at least two distinct curvatures, may be used. It is within the scope of embodiments herein to form a body of shaped abrasive particles having gaps. For example, FIG. 14 illustrates a first section 1443 that defines a first curvature. and a second section 1444 defining a second curvature. Of note, the curvature of the first section 1443 is substantially the same as the curvature of the second section 1444. Further, the first section 1443 may be integrally connected to the second section 1444. may be contacted.

[0101] FIG. 15 includes a top view of a shaped abrasive particle 1500 according to one embodiment. The shaped abrasive body 1500 has a top major surface 1503 and a bottom major surface opposite the top major surface 1503. (not shown) and a body 15 having the features of other shaped abrasive particles of embodiments herein. The top major surface 1503 and the bottom major surface may include, for example, a first major surface 1505 of the side 1505. portion 1506, a second portion 1507 of the side 1505, and a third portion 1508 of the side 1505. 1508, which may include one or more separate side portions. Specifically, the first portion 1506 of the side 1505 may be spaced apart from one another by The second portion of the side surface 1505 may extend between the first corner 1509 and the second corner 1510. The portion 1507 can extend between the second corner 1510 and the third corner 1511. Notably, the second corner 1510 may be an outward corner joining two portions of the side 1505. The second corner 1510 and the third corner 1511, which is also an outside corner, are adjacent to each other. The third portion 1505 of the side surface 1505 is in contact with the first portion 1506 of the side surface 1505, and no other corner portion is disposed therebetween. 08 can extend between the third corner 1511 and the first corner 1509, both of which are Both corners are adjacent to each other with no other corners located between them.

[0102] As shown, the body 1501 includes a first straight section 1541 and a second straight section 1543. and between corner portions 1509 and 1510. The body 1501 may include a first portion 1506 including a side wall 1512 and a side wall 1514. The body 1501 may include a first portion 1506 including a side wall 1514 and a side wall 1514. 505 may further include a second portion 1507 spaced from the first portion 1506. The second portion 1507 of the 1505 includes a third straight section 1551 and a fourth straight section 1553. 15. The curved line 1550 may include a second curved section 1552 connecting the curved lines 1551 and 1552.

[0103] The main body 1501 includes a primary aspect ratio, a secondary aspect ratio, a tertiary aspect ratio, etc. It may have any of the features of the other embodiments herein, without being limited thereto. In one embodiment, the body 1501 of the shaped abrasive particle 1500 has a side having a partially concave shape. The partially concave shape may have a second portion 1507 of the side 1505. Adjacent corners 1510 and 1513 are formed over a small portion of the entire length (Lfp2) of portion 1507. 1. In one embodiment, the total length (Lfp2 ) may be equal to the width (W) of the body 1501. Further, in the embodiment of FIG. As shown in FIG. 1, the second curved section 1552 is a third straight section 1551 and a fourth straight section 1552. The third straight section 1551 may be disposed between the first straight section 1552 and the second straight section 1553 of the body 1501. 1505 along a length (L13) of the side wall 1505. 1507 and a second curved section 1552. The second curved section 1552 and the third straight section 1551 may terminate at a junction of A third inside corner 1554 may be defined which is formed by the second curved section 1552 and the third straight section. 1551, and may have any of the interior angle features of the embodiments herein (e.g., The fourth straight section 1553 may define a first interior angle 1555 (defining an obtuse angle). 501 at a first end at a third corner portion 1511 and extending over a length (Ll4). A second curved section 1506 extends along the second portion 1507 of the side surface 1505 and is connected to the second portion 1507. The fourth straight section 1553 and the second curved section 1554 may terminate at a junction with the second straight section 1552. 1552 can define a fourth inside corner 1556. The fourth inside corner 1556 can be formed by a second curve Section 1552 and fourth straight section 1553 together form the interior angle feature of the embodiment herein. The fourth interior angle 1557 may have any of the following angles (eg, define an obtuse angle).

[0104] As can be seen, the third straight section 1551 and the fourth straight section 1553 are shown in FIG. As shown, the second curved section 1552 may be substantially straight when viewed from above. Similarly, as shown in FIG. 15, when viewed from above, the third straight line may have a pronounced arcuate profile. The section 1551 may have a length (Ll3) of the third straight section, The second curved section 155 may have any of the characteristics of any straight section of the abrasive particle. 2 may have a length (Lc2) and may be a characteristic of the curved section of the shaped abrasive particles of the embodiments herein. The fourth straight section 1553 may have a length (Ll4). The shaped abrasive particles may have any of the characteristics of any linear section of the embodiments of the specification. .

[0105] The body 1501 is defined by a corner portion 1510 and a midpoint 1581 of the body 1501. The first arm 1571 may include a first arm 1571 extending between the first arm 1571 and the terminal end of the first arm 1571. The second arm 1571 extends between an end of the first arm 1571 and a midpoint 1581, The first arm 1571 has a first arm axis 1572 that defines the overall length (Larm1) of the first arm 1571. possible.

[0106] According to one specific embodiment, the body 1501 includes a distal end of the first arm 1571 ( That is, at a position between the corner portion 1510 and the midpoint 1581, the first The arm 1571 may have a first maximum tip width (Wt1) that defines a maximum width of the arm 1571. Preferably, the first maximum tip width (Wt1) is a width that is equal to or greater than the midpoint along the first arm axis 1572. 1581 and along a first arm axis 1572. Further, the first maximum tip width (Wt1) may be spaced apart from the end of the A first maximum tip width location 1573 along one arm axis 1572 may be defined.

[0107] The distance between the distal end of the first arm 1571 and the location of the first maximum tip width 1573 is A first tip length (Ltip1) may be defined. The first tip length (Ltip1) may be The length of the first arm 1571 may facilitate improving the performance of the shaped abrasive particle 1500. In one embodiment, the first tip length (Ltip 1) may be a small portion of the total length of the first arm (Larm1). For example, in one embodiment In the embodiment, the first tip length (Ltip1) is at least about 0.01 (Larm1), e.g. For example, at least about 0.02 (Larm1), at least about 0.03 (Larm1), At least about 0.04 (Larm1), at least about 0.05 (Larm1), at least About 0.06 (Larm1), at least about 0.07 (Larm1), at least about 0.0 8 (Larm1), at least about 0.09 (Larm1), at least about 0.1 (Lar m1), at least about 0.12 (Larm1), at least about 0.15 (Larm1), At least about 0.18 (Larm1), at least about 0.2 (Larm1), at least About 0.22 (Larm1), at least about 0.25 (Larm1), at least about 0.2 8 (Larm1), at least about 0.3 (Larm1), at least about 0.32 (Lar m1), at least about 0.35 (Larm1), at least about 0.38 (Larm1), Or even can be at least about 0.4(Larm1). In the example, the first tip length (Ltip1) is about 0.95(Larm1) or less, for example, about 0.9 (Larm1) or less, approximately 0.85 (Larm1) or less, approximately 0.8 (Larm1) or less Lower, approx. 0.75 (Larm1) or less, approx. 0.7 (Larm1) or less, approx. 0.65 (Lar m1) or less, approximately 0.6 (Larm1) or less, approximately 0.55 (Larm1) or less, approximately 0.5( The first tip length (Lt It will be appreciated that ip1) may be within a range between any of the minimum and maximum values ​​listed above. There will be.

[0108] The body 1501 may further include a first throat width (Wth1), which is A first maximum tip width position 1573 of the arm 1571 and a midpoint 1581 of the arm 1571 are located between the first maximum tip width position 1573 and the midpoint 1581. The first throat width (Wth1) may define the narrowest portion of the arm. The arm 1571 may define a first throat width position 1574 along an axis 1572 of the arm 1571 . As shown, in one particular embodiment, the first throat position 1574 is the first maximum It may be closer to the midpoint 1581 than to the tip width position 1573 .

[0109] In at least one embodiment, the first throat width location 1574 and the first maximum tip The distance between the end width position 1573 may define a first throat length (Lth1). In one particular embodiment, the first throat length (Lth1) is There may be a particular length for the first arm length (Larm1) that may improve performance. For example, the first throat length (Lth1) is a small portion of the total length of the first arm (Larm1). In one embodiment, the first throat length (Lth1) is at least about 0.01 (Larm1), e.g., at least about 0.02(Larm1), at least about 0.03 (Larm1), at least about 0.04 (Larm1), at least about 0.05 (Lar m1), at least about 0.06 (Larm1), at least about 0.07 (Larm1), At least about 0.08 (Larm1), at least about 0.09 (Larm1), at least Also about 0.1 (Larm1), at least about 0.12 (Larm1), at least about 0.1 5 (Larm1), at least about 0.18 (Larm1), at least about 0.2 (Lar m1), at least about 0.22 (Larm1), at least about 0.25 (Larm1), At least about 0.28 (Larm1), at least about 0.3 (Larm1), at least About 0.32 (Larm1), at least about 0.35 (Larm1), at least about 0.3 8 (Larm1), and may be at least about 0.4 (Larm1). In the embodiment, the first throat length (Lth1) is about 0.95(Larm1) or less, for example , about 0.9 (Larm1) or less, about 0.85 (Larm1) or less, about 0.8 (Larm1 ) or less, approximately 0.75 (Larm1) or less, approximately 0.7 (Larm1) or less, approximately 0.65 (L arm1) or less, about 0.6 (Larm1) or less, about 0.55 (Larm1) or less, about 0. 5 (Larm1) or less, and may be about 0.45 (Larm1) or less. It is understood that (Lth1) can be within a range between any of the minimum and maximum values ​​listed above. It will be.

[0110] The main body 1501 has a first throat width (Wth1) and a maximum tip width (Wt1) that are mutually The shaped abrasive particles 1500 may be formed to have a specific relationship to the For example, the first throat width (Wth1) is smaller than the first maximum tip width (Wt1 In a more specific example, the first throat width (Wth1) may be less than about 0.9 5(Wt1) or less, for example, about 0.9(Wt1) or less, about 0.85(Wt1) or less, about 0 .8 (Wt1) or less, about 0.75 (Wt1) or less, about 0.7 (Wt1) or less, about 0.65 (Wt1) or less, approximately 0.6 (Wt1) or less, approximately 0.55 (Wt1) or less, approximately 0.5 (Wt 1), or even about 0.45(Wt1) or less. The first throat width (Wth1) is at least about 0.01 (Wt1), for example, at least At least about 0.05(Wt1), at least about 0.08(Wt1), at least about 0.1( Wt1), at least about 0.12(Wt1), at least about 0.15(Wt1), at least At least about 0.18 (Wt1), at least about 0.2 (Wt1), at least about 0.22 (W t1), at least about 0.25(Wt1), at least about 0.28(Wt1), at least At least about 0.3 (Wt1), at least about 0.32 (Wt1), at least about 0.35 (Wt 1), at least about 0.38(Wt1), at least about 0.4(Wt1), at least about 0.42(Wt1), at least about 0.45(Wt1), at least about 0.48(Wt1 ), or even at least about 0.5(Wt1). h1) is between any minimum and maximum values ​​mentioned above for the first maximum tip width (Wt1) The width may be in the range of

[0111] FIG. 16 includes a top view of a shaped abrasive particle according to an embodiment. The element 1600 has a top major surface 1603 and a bottom major surface (not shown) opposite the top major surface 1603. The body 1601 has the features of other shaped abrasive particles of embodiments herein, including without limitation The top major surface 1603 and the bottom major surface may include, for example, a first portion 1604 of the side 1605. 606, a second portion 1607 of the side surface 1605, and a third portion 1608 of the side surface 1605. may include one or more separate side portions, Specifically, the first portion 1606 of the side 1605 may be spaced apart from the first The second portion 1605 of the side surface 1605 may extend between the corner 1609 and the second corner 1610. 07 may extend between the second corner 1610 and the third corner 1611. Additionally, the second corner 1610 can be an outside corner joining two portions of the side 1605. The second corner 1610 and the third corner 1611, which is also an outside corner, are adjacent to each other. 16, no other corner portion is disposed therebetween. , may extend between the third corner 1611 and the first corner 1609, both of which The external corners are adjacent to each other with no other external corners disposed between them.

[0112] As shown, the body 1601 includes a first straight section 1641 and a second straight section 1643. and between corner portions 1609 and 1610. The second portion 1607 may include a first portion 1606 that includes a corner portion 1610. A first portion 1606 of the side 1605 is spaced from a second portion 1607 of the side 1605. The second curved section 1651 connects the third straight section 1651 and the fourth straight section 1653. 52. Additionally, the body 1601 may include a first edge 1609 at the side 1605. 1606 and separated from a second portion 1607 by a corner portion 1611. The third portion 1608 of the side 1605 may include a fifth straight A third curved section 1662 may be included connecting the line section 1661 and the sixth straight section 1663. do.

[0113] The main body 1601 includes a primary aspect ratio, a secondary aspect ratio, a tertiary aspect ratio, etc. It may have any of the features of the other embodiments herein, without being limited thereto. In one embodiment, the body 1601 of the shaped abrasive particle 1600 has a side having a partially concave shape. The partially concave shape may have a third portion 1608 of the side 1605. The adjacent corners 1609 and 1608 are connected over a small portion of the entire length (Lfp3) of the portion 1608. 11. In one embodiment, the total length ( Lfp3) may be equal to the width (W) of the main body 1601. Furthermore, in the embodiment of FIG. As further shown in the figure, the third curved section 1662 is connected to the fifth straight section 1661 and the sixth straight section 1662. The fifth straight section 1661 may be disposed between the first straight section 1663 and the second straight section 1664 of the body 160. 16, the first end 1611 of the first protruding corner 1612 and the side wall 1613 of the first protruding corner 1612 are formed on the first end 1611 of the first protruding corner 1612. 1605 and extending along a third portion 1608 of the second curved section 1605. The third curved section 1662 and the fifth curved section 1663 may terminate at a second end at a junction with the fifth curved section 1664. The straight section 1661 may define a sixth inside corner 1664, which may be aligned with the third curved section 166 Any of the interior angle features of the embodiments herein, together with the second and fifth straight section 1661, A sixth interior angle 1665 may be defined having a slanting angle (e.g., defining an obtuse angle). The gap 1663 terminates at a first end at the corner portion 1609 of the body 1601 and has a length (L 6) along a third portion 1608 of the side surface 1605, and the third curved section 1662. 1663 and the third curved section 1662 may define a sixth inside corner 1666. The corner portion 1666, together with the third curved section 1662 and the sixth straight section 1663, are A sixth interior angle having any of the interior angle features of the first embodiment (e.g., defining an obtuse angle). An angle 1667 may be defined.

[0114] As can be seen, the fifth straight section 1661 and the sixth straight section 1663 are shown in FIG. As shown, the third curved section 1662 may be substantially linear when viewed from above. It may also have a pronounced arcuate profile when viewed from above, as shown in FIG. Section 1661 may have a length of a fifth straight section (L15) and may be used in the molding of embodiments herein. The third curved section 166 may have any of the characteristics of any straight section of the abrasive particle. 2 may have a length (Lc3) and may be a characteristic of the curved section of the shaped abrasive particles of the embodiments herein. The sixth straight section 1663 may have a length (L16), The shaped abrasive particles may have any of the characteristics of any linear section of the embodiments of the specification. .

[0115] The body 1605 is connected to a midpoint 1681 of the body 1601 and an end portion of the first arm 1671 (e.g., For example, the first arm 1671 may extend between the corner portion 1610 and the first arm 1671. 1671, for example, the maximum tip width, throat width, first tip length, first throat length Any of the arm features of the embodiments herein, including but not limited to, The body 1605 may have a midpoint 1681 of the body 1601 and a second arm 1692. (e.g., corner portion 1611) of the second arm 1692 extending between the first arm 1692 and the end portion of the first arm 1692. The second arm 1692 may have, for example, a maximum tip width, a throat width, a first tip length, a second Arm features of the embodiments herein, including but not limited to, throat length, etc. As shown in FIG. 16, the main body 1601 may have any one of the following: 601 and the end of the third arm 1693 (e.g., the corner portion 1609) The third arm 1693 may include a third arm 1693 extending between the first and second arms 1692 and 1694. The third arm 1693 may include, for example, a maximum Including but not limited to tip width, throat width, first tip length, first throat length, etc. The arm may have any of the features of the embodiments herein, but not limited to the above.

[0116] In one embodiment, the body 1601 includes a terminal end of the first arm 1671 (e.g., a corner portion 161 0) and the midpoint 1681, the maximum of the first arm 1671 of the body 1601 The tip may have a first maximum tip width (Wt1) that defines the width. Notably, the first maximum The large tip width (Wt1) is a distance from the midpoint 1681 along the first arm axis 1672. and spaced apart from the distal end of the first arm 1671 along the first arm axis 1672. Further, the first maximum tip width (Wt1) may be arranged on the first arm axis 1672. The distal end of the first arm 1671 may define a location 1673 of a first maximum tip width along the distal end of the first arm 1671. and the position of the first maximum tip width 1673 is called the first tip length (Ltip1) The first tip length (Ltip1) may define the length of the first arm 1671 (the first The total length between the end of the arm and the midpoint 1681 is called Larm1. ) which can facilitate improved performance of the shaped abrasive particles. The first arm 1671 extends between an end of the first arm and a midpoint 1681 and The first arm 1671 may have a first arm axis 1672 that defines the overall length (Larm1) of the first arm 1671. In one embodiment, the first tip length (L tip1 ) is equal to the total length (L For example, in one embodiment, the first tip length (Lt ip1) is at least about 0.01 (Larm1), for example at least about 0.02 (L arm1), at least about 0.03 (Larm1), at least about 0.04 (Larm1 ), at least about 0.05 (Larm1), at least about 0.06 (Larm1), at least At least about 0.07 (Larm1), at least about 0.08 (Larm1), at least about 0.09 (Larm1), at least about 0.1 (Larm1), at least about 0.12 ( Larm1), at least about 0.15 (Larm1), at least about 0.18 (Larm 1), at least about 0.2 (Larm1), at least about 0.22 (Larm1), at least At least about 0.25 (Larm1), at least about 0.28 (Larm1), at least about 0.3 (Larm1), at least about 0.32 (Larm1), at least about 0.35 ( Larm1), at least about 0.38(Larm1), or even at least about 0. In another non-limiting embodiment, the first tip length (Lti p1) is about 0.95 (Larm1) or less, for example, about 0.9 (Larm1) or less, about 0 .85 (Larm1) or less, approximately 0.8 (Larm1) or less, approximately 0.75 (Larm1) or less Lower, approx. 0.7 (Larm1) or less, approx. 0.65 (Larm1) or less, approx. 0.6 (Larm 1) or less, about 0.55 (Larm1) or less, about 0.5 (Larm1) or less, about 0.45 ( The first tip length (L tip1 ) may be less than or equal to any minimum value of the above. It will be understood that the range may be between and a maximum value.

[0117] The body 1601 may further include a first throat width (Wth1), which is A first maximum tip width position 1673 of the arm 1671 and a first maximum tip width position 1681 of the arm 1671 are located between the first maximum tip width position 1673 and the midpoint 1681. The first throat width (Wth1) may define the narrowest portion of the arm 1671. defines a first throat width position 1674 along the axis 1672 of the first arm 1671. As shown, in one particular embodiment, the first throat location 1674 may be It may be closer to the midpoint 1681 than the position 1673 of the maximum tip width of 1.

[0118] In at least one embodiment, the first throat location 1674 and the first maximum tip location The distance between the width position 1673 may define a first throat length (Lth1). In certain embodiments, the first throat length (Lth1) determines the performance of the shaped abrasive particles 1600. The first arm may have a specific length (Larm1) that may improve the For example, the first throat length (Lth1) is a small portion of the total length of the first arm (Larm1). In one embodiment, the first throat length (Lth1) is at least about 0.01 (L arm1), for example, at least about 0.02 (Larm1), at least about 0.03 (Larm2), arm1), at least about 0.04 (Larm1), at least about 0.05 (Larm1 ), at least about 0.06 (Larm1), at least about 0.07 (Larm1), at least At least about 0.08 (Larm1), at least about 0.09 (Larm1), at least about 0.1 (Larm1), at least about 0.12 (Larm1), at least about 0.15 ( Larm1), at least about 0.18 (Larm1), at least about 0.2 (Larm1 ), at least about 0.22 (Larm1), at least about 0.25 (Larm1), at least At least about 0.28 (Larm1), at least about 0.3 (Larm1), at least about 0 .32 (Larm1), at least about 0.35 (Larm1), at least about 0.38 ( Larm1) can be at least about 0.4(Larm1). In the example, the first throat length (Lth1) is about 0.95 (Larm1) or less, for example, about 0.9 (Larm1) or less, approximately 0.85 (Larm1) or less, approximately 0.8 (Larm1) or less Lower, approx. 0.75 (Larm1) or less, approx. 0.7 (Larm1) or less, approx. 0.65 (Lar m1) or less, approximately 0.6 (Larm1) or less, approximately 0.55 (Larm1) or less, approximately 0.5( The first throat length (L It will be appreciated that th1) may be within a range between any of the minimum and maximum values ​​listed above. There will be.

[0119] The main body 1601 has a first throat width (Wth1) and a first maximum tip width (Wt1). The shaped abrasive particles 1600 may be formed to have a specific relationship to one another, such that the shaped abrasive particles 1600 For example, the first throat width (Wth1) is set to be smaller than the first maximum tip width ( In a more specific example, the first throat width (Wth1) may be less than about 0.95(Wt1) or less, for example, about 0.9(Wt1) or less, about 0.85(Wt1) or less , about 0.8 (Wt1) or less, about 0.75 (Wt1) or less, about 0.7 (Wt1) or less, about 0 .65 (Wt1) or less, approximately 0.6 (Wt1) or less, approximately 0.55 (Wt1) or less, approximately 0.5 (Wt1) or less, or even about 0.45(Wt1) or less. In one embodiment, the first throat width (Wth1) is at least about 0.01 (Wt1), e.g. , at least about 0.05(Wt1), at least about 0.08(Wt1), at least about 0 .1(Wt1), at least about 0.12(Wt1), at least about 0.15(Wt1), At least about 0.18 (Wt1), at least about 0.2 (Wt1), at least about 0.2 2(Wt1), at least about 0.25(Wt1), at least about 0.28(Wt1), a little At least about 0.3 (Wt1), at least about 0.32 (Wt1), at least about 0.35 (Wt1), at least about 0.38(Wt1), at least about 0.4(Wt1), at least At least about 0.42 (Wt1), at least about 0.45 (Wt1), at least about 0.48 ( The first throat width may be at least about 0.5(Wt1), or even at least about 0.5(Wt1). (Wth1) is the first maximum tip width (Wt1) relative to any minimum and maximum values ​​mentioned above The width may be in the range between

[0120] In one embodiment, the body 1601 includes a distal end of the second arm 1692 (e.g., a corner portion 161 1) and the midpoint 1681, the maximum of the second arm 1692 of the main body 1601 The width of the second maximum tip width (Wt2) may be defined as the width of the second maximum tip width (Wt2). The large tip width (Wt2) is spaced from the midpoint 1681 along the second arm axis 1682. and spaced apart from the distal end of the second arm 1692 along the second arm axis 1682. Further, the second maximum tip width (Wt2) may be arranged on the second arm axis 1682. The distal end of the second arm 1692 may define a second maximum tip width location 1675 along the distal end of the second arm 1692. and the location of the second maximum tip width 1675 is called the second tip length (Ltip2) The second tip length (Ltip2) may define a length between the distal end and the middle end of the second arm 1692. The length of the second arm 1692, defined as the total length between the points 1681 and 1682 (generally Lar m2), which allows the properties of the shaped abrasive particles 1600 to be In one embodiment, the second tip length (Ltip2) is For example, in one embodiment, the second arm may be a small portion of the total length of the second arm (Larm2). The tip length (Ltip2) of the At least about 0.02 (Larm2), at least about 0.03 (Larm2), at least about 0 .04 (Larm2), at least about 0.05 (Larm2), at least about 0.06 ( Larm2), at least about 0.07 (Larm2), at least about 0.08 (Larm 2), at least about 0.09 (Larm2), at least about 0.1 (Larm2), at least At least about 0.12 (Larm2), at least about 0.15 (Larm2), at least about 0.18 (Larm2), at least about 0.2 (Larm2), at least about 0.22 ( Larm2), at least about 0.25 (Larm2), at least about 0.28 (Larm 2), at least about 0.3 (Larm2), at least about 0.32 (Larm2), at least at least about 0.35 (Larm2), at least about 0.38 (Larm2), or even can be at least about 0.4 (Larm2). In another non-limiting embodiment, the second The tip length (Ltip2) is about 0.95 (Larm2) or less, for example, about 0.9 (La rm2) or less, approximately 0.85 (Larm2) or less, approximately 0.8 (Larm2) or less, approximately 0.7 5 (Larm2) or less, approximately 0.7 (Larm2) or less, approximately 0.65 (Larm2) or less, Approximately 0.6 (Larm2) or less, approximately 0.55 (Larm2) or less, approximately 0.5 (Larm2) The second tip length (Ltip2) may be about 0.45 (Larm2) or less. It will be understood that the range may be between any of the minimum and maximum values ​​stated above.

[0121] The body 1601 may further include a second throat width (Wth2), which may be A second maximum tip width position 1675 of the arm 1692 and a second maximum tip width position 1681 of the arm 1692 are located between the second maximum tip width position 1675 and the midpoint 1681. The second throat width (Wth2) may define the narrowest portion of the arm 1692. defines a second throat width position 1676 along the axis 1682 of the second arm 1692. As shown, in one particular embodiment, the second throat width location 1676 is , may be closer to the midpoint 1681 than the location 1675 of the second maximum tip width.

[0122] In at least one embodiment, the second throat location 1676 and the second maximum tip location The distance between the width position 1675 may define a second throat length (Lth2). In certain embodiments, the second throat length (Lth2) determines the performance of the shaped abrasive particles 1600. The second arm may have a specific length (Larm2) that may improve the For example, the second throat length (Lth2) is a small portion of the total length of the second arm (Larm2). In one embodiment, the second throat length (Lth2) is at least about 0.01(L arm2), e.g., at least about 0.02 (Larm2), at least about 0.03 (Larm3), arm2), at least about 0.04 (Larm2), at least about 0.05 (Larm2 ), at least about 0.06 (Larm2), at least about 0.07 (Larm2), at least at least about 0.08 (Larm2), at least about 0.09 (Larm2), at least about 0.1 (Larm2), at least about 0.12 (Larm2), at least about 0.15 ( Larm2), at least about 0.18 (Larm2), at least about 0.2 (Larm2 ), at least about 0.22 (Larm2), at least about 0.25 (Larm2), at least At least about 0.28 (Larm2), at least about 0.3 (Larm2), at least about 0 .32 (Larm2), at least about 0.35 (Larm2), at least about 0.38 ( Larm2) can be at least about 0.4(Larm2). Then, the second throat length (Lth2) is about 0.95(Larm2) or less, for example, about 0.9 (Larm2) or less, approximately 0.85 (Larm2) or less, approximately 0.8 (Larm2) or less Lower, about 0.75 (Larm2) or less, about 0.7 (Larm2) or less, about 0.65 (Lar m2) or less, approximately 0.6 (Larm2) or less, approximately 0.55 (Larm2) or less, approximately 0.5( The second throat length (L It will be appreciated that th2) may be within a range between any of the minimum and maximum values ​​listed above. There will be.

[0123] The main body 1601 has a second throat width (Wth2) and a second maximum tip width (Wt2). The shaped abrasive particles 1600 may be formed to have a specific relationship to one another, such that the shaped abrasive particles 1600 For example, the second throat width (Wth2) is set to be smaller than the second maximum tip width ( In a more specific example, the second throat width (Wth2) may be less than about 0.95 (Wt2) or less, for example, about 0.9 (Wt2) or less, about 0.85 (Wt2) or less , about 0.8 (Wt2) or less, about 0.75 (Wt2) or less, about 0.7 (Wt2) or less, about 0 .65 (Wt2) or less, approximately 0.6 (Wt2) or less, approximately 0.55 (Wt2) or less, approximately 0.5 (Wt2) or less, or even about 0.45(Wt2) or less. In one embodiment, the second throat width (Wth2) is at least about 0.01 (Wt2), e.g. , at least about 0.05 (Wt2), at least about 0.08 (Wt2), at least about 0 .1(Wt2), at least about 0.12(Wt2), at least about 0.15(Wt2), At least about 0.18 (Wt2), at least about 0.2 (Wt2), at least about 0.2 2(Wt2), at least about 0.25(Wt2), at least about 0.28(Wt2), a little At least about 0.3 (Wt2), at least about 0.32 (Wt2), at least about 0.35 (Wt2), at least about 0.38(Wt2), at least about 0.4(Wt2), at least At least about 0.42 (Wt2), at least about 0.45 (Wt2), at least about 0.48 ( The second throat width may be at least about 0.5(Wt2), or even at least about 0.5(Wt2). (Wth2) is the second maximum tip width (Wt2) relative to any minimum and maximum values ​​mentioned above The width may be in the range between

[0124] In yet another embodiment, the body 1601 may include a distal end of the third arm 1693 (e.g., an external corner). The third arm 169 of the main body 1601 is located between the center point 1609 and the midpoint 1681. The third maximum tip width (Wt3) may define a third maximum width. A third maximum tip width (Wt3) is a distance from the midpoint 1681 along the third arm axis 1683. spaced apart from the distal end of the third arm 1693 along the third arm axis 1683 Further, the third maximum tip width (Wt3) is 683. The third arm 1693 may define a third maximum tip width location 1677 along the third arm 1693. The distance between the end of the third maximum tip width position 1677 is the third tip length (Lt The third tip length (Ltip3) can define a third tip length at the end of the third arm 1693. The length of the third arm 1693, defined as the total length between the end and the midpoint 1681 (approximately 3), whereby the shaped abrasive particles 16 00 performance may be improved. In one embodiment, the third tip length (Ltip3) may be a small portion of the overall length of the third arm (Larm3). For example, in one embodiment and the third tip length (Ltip3) is at least about 0.01 (Larm3), e.g. , at least about 0.02 (Larm3), at least about 0.03 (Larm3), at least At least about 0.04 (Larm3), at least about 0.05 (Larm3), at least about 0 .06 (Larm3), at least about 0.07 (Larm3), at least about 0.08 ( Larm3), at least about 0.09 (Larm3), at least about 0.1 (Larm3 ), at least about 0.12 (Larm3), at least about 0.15 (Larm3), at least At least about 0.18 (Larm3), at least about 0.2 (Larm3), at least about 0 .22 (Larm3), at least about 0.25 (Larm3), at least about 0.28 ( Larm3), at least about 0.3 (Larm3), at least about 0.32 (Larm3 ), at least about 0.35 (Larm3), at least about 0.38 (Larm3), and may even be at least about 0.4 (Larm3). In another non-limiting embodiment, , the third tip length (Ltip3) is about 0.95 (Larm3) or less, for example, about 0. 9 (Larm3) or less, approximately 0.85 (Larm3) or less, approximately 0.8 (Larm3) or less, About 0.75 (Larm3) or less, about 0.7 (Larm3) or less, about 0.65 (Larm3) ) or less, about 0.6 (Larm3) or less, about 0.55 (Larm3) or less, about 0.5 (La The third tip length (Ltip3) may be about 0.45 (Larm3) or less. 3) may be within a range between any of the minimum and maximum values ​​set forth above. cormorant.

[0125] The body 1601 may further include a third throat width (Wth3), which may be The third maximum tip width position 1677 of the arm 1693 and the midpoint 1681 of the third The third throat width (Wth3) may define the narrowest portion of the arm 1693. defines a third throat width position 1678 along the axis 1683 of the third arm 1693. As shown, in one particular embodiment, the third throat location 1678 may be 3 may be closer to the midpoint 1681 than the position 1677 of maximum tip width.

[0126] In at least one embodiment, the third throat location 1678 and the third maximum tip location The distance between the width position 1677 may define a third throat length (Lth3). In certain embodiments, the third throat length (Lth3) determines the performance of the shaped abrasive particles 1600. The third arm may have a specific length (Larm3) that may improve the For example, the third throat length (Lth3) is a small portion of the total length of the third arm (Larm3). In one embodiment, the third throat length (Lth3) is at least about 0.01(L arm3), e.g., at least about 0.02 (Larm3), at least about 0.03 (Larm4), arm3), at least about 0.04 (Larm3), at least about 0.05 (Larm3 ), at least about 0.06 (Larm3), at least about 0.07 (Larm3), at least at least about 0.08 (Larm3), at least about 0.09 (Larm3), at least about 0.1 (Larm3), at least about 0.12 (Larm3), at least about 0.15 ( Larm3), at least about 0.18 (Larm3), at least about 0.2 (Larm3 ), at least about 0.22 (Larm3), at least about 0.25 (Larm3), at least At least about 0.28 (Larm3), at least about 0.3 (Larm3), at least about 0 .32 (Larm3), at least about 0.35 (Larm3), at least about 0.38 ( Larm3), can be at least about 0.4(Larm3). Then, the third throat length (Lth3) is about 0.95 (Larm3) or less, for example, about 0.9 (Larm3) or less, approximately 0.85 (Larm3) or less, approximately 0.8 (Larm3) or less Lower, approx. 0.75 (Larm3) or less, approx. 0.7 (Larm3) or less, approx. 0.65 (Lar m3) or less, approximately 0.6 (Larm3) or less, approximately 0.55 (Larm3) or less, approximately 0.5( The second throat length (L It will be appreciated that th3) ​​may be within a range between any of the minimum and maximum values ​​listed above. There will be.

[0127] The main body 1601 has a third throat width (Wth3) and a third maximum tip width (Wt3). The shaped abrasive particles 1600 may be formed to have a specific relationship to one another, such that the shaped abrasive particles 1600 For example, the third throat width (Wth3) is set to be smaller than the third maximum tip width ( In a more specific example, the third throat width (Wth3) may be less than about 0.95(Wt3) or less, for example, about 0.9(Wt3) or less, about 0.85(Wt3) or less , about 0.8 (Wt3) or less, about 0.75 (Wt3) or less, about 0.7 (Wt3) or less, about 0 .65 (Wt3) or less, approximately 0.6 (Wt3) or less, approximately 0.55 (Wt3) or less, approximately 0.5 (Wt3) or less, or even about 0.45(Wt3) or less. In one embodiment, the third throat width (Wth3) is at least about 0.01 (Wt3), e.g. , at least about 0.05(Wt3), at least about 0.08(Wt3), at least about 0 .1(Wt3), at least about 0.12(Wt3), at least about 0.15(Wt3), At least about 0.18 (Wt3), at least about 0.2 (Wt3), at least about 0.2 2(Wt3), at least about 0.25(Wt3), at least about 0.28(Wt3), a little At least about 0.3 (Wt3), at least about 0.32 (Wt3), at least about 0.35 (Wt3), at least about 0.38(Wt3), at least about 0.4(Wt3), at least At least about 0.42 (Wt3), at least about 0.45 (Wt3), at least about 0.48 ( The third throat width may be at least about 0.5(Wt3), or even at least about 0.5(Wt3). (Wth3) is the third maximum tip width (Wt3) relative to any minimum and maximum values ​​mentioned above The width may be in the range between

[0128] FIG. 17 includes a top view of a shaped abrasive particle according to an alternative embodiment. The abrasive particle 1700 has a top major surface 1703 and a bottom major surface ( 170 having the features of other shaped abrasive particles of embodiments herein, including a shaped abrasive particle having a shaped abrasive particle shape and a shaped abrasive particle shape. The top major surface 1703 and the bottom major surface may include, for example, a first portion of the side 1705. 1706, a second portion 1707 of the side 1705, and a third portion 170 8, with at least one side 1705, which may include one or more distinct side portions. Specifically, the first portion 1706 of the side 1705 may be spaced apart from one another by a first The second portion of the side surface 1705 may extend between the first corner 1709 and the second corner 1710. 1707 can extend between the second corner 1710 and the third corner 1711. In particular, the second corner 1710 can be an exterior corner joining two portions of the side 1705. The second corner 1710 and the third corner 1711, which is also an outside corner, are adjacent to each other. The third portion 170 of the side surface 1705 is aligned with the first portion 170 of the side surface 1705, with no other corner portion disposed therebetween. 8 may extend between the third corner 1711 and the first corner 1709, both of which Both are adjacent corners with no other corners disposed between them.

[0129] As shown, the body 1701 includes a first straight section 1741 and a second straight section 1743. and between corner portions 1709 and 1710. The second portion 1707 of the body 1701 may include a third straight Between the line section 1751 and the fourth straight section 1753 and between the corner portions 1710 and 1711 The third portion 1708 may further include a second curved section 1752 disposed therebetween. is between the fifth straight section 1761 and the sixth straight section 1763 and between the corner portion 1709 1711. The second curve section 1752 and the third curve section 1762 are different from the first curve section 1742. Therefore, the midpoint 1781 of the body 1701 and the first arm 17 The first abutment of the body 1701 extends between the end of the abutment 71 (i.e., the corner portion 1710). The arm 1771 has a first maximum tip width ( Wt1), the position of the first maximum tip width 1773, the first tip length (Ltip1), The throat width (Wth1), the first throat position 1774, and the first throat length (L Notably, the first arm 1771 may have a first maximum tip width In contrast, the second curved section may have a first throat width (Wth1) equal to or less than (Wt1). Given the curvature of 1752 and the third curved section 1762, the midpoint 1781 of the body 1701 and the end of the second arm 1792 (i.e., the corner portion 1711). The arm 1792 does not have a throat width region, and this region is at the second maximum tip width position. 1766 and the midpoint 1781. However, as shown, the second arm 1792 is a region having a width may still have a maximum tip width (Wt2) extending between corners 1784 and 1785; This width further defines a second tip length (Ltip2), which is It will be further understood that the recessed corner 1784 may have any of the features of the , angle 178 having a value distinct from angle 1780 defined by recessed corner 1779. 2 can be defined.

[0130] The first arm 1771 may have, for example, a maximum tip width, a throat width, a first tip length, a second Arm features of the embodiments herein, including but not limited to, throat length, etc. The body 1705 may have any one of the following: A second arm 1792 extends between the end of the arm 1792 (e.g., the corner portion 1711). 92. The second arm 1792 may include, for example, a maximum tip width, a throat width, a first

[0023] Embodiments herein include, but are not limited to, tip length, first throat length, etc. As shown in FIG. 17, the arm 17 may have any of the features described above. 01 is a part between the midpoint 1781 of the main body 1701 and the end portion of the third arm 1793 (for example, a corner portion 1709). The third arm 1793 may include a third arm 1793 extending between the first arm 1709 and the second arm 1709. , including, for example, maximum tip width, throat width, first tip length, first throat length, etc. Any of the arm features of the embodiments herein may be used, including but not limited to: good.

[0131] The shaped abrasive particles of the embodiments herein can be prepared by any of the processes described herein. FIG. 18A illustrates a top view of a shaped abrasive particle 1800 according to one embodiment. Of note, the body 1801 has a predetermined strength, a predetermined tip sharpness, and Shaped to have at least three grain characteristics in a specific relationship, including a predetermined shape index. Referring to FIG. 18A, the grain characteristics of the shaped abrasive grains of the embodiments herein may be It will be understood that the above applies to all the molded abrasive particles. The squareness (which may be the sharpness) determines the maximum radius of the circle that best fits the corner of the body 1801. For example, referring now to FIG. 18A, the body 180 1 is provided with a top view of the upper major surface 1803 of the recess 1802. A matching circle is superimposed on the image of the body 1801 of the shaped abrasive particle 1800, with the outside corners The radius of the circle that best fits the curvature of the corner portion 1831 determines the sharpness of the tip of the corner portion 1831. The measurement is then taken again for each corner of the body 1801 to determine the single forming edge. The average individual tip sharpness of the abrasive particles 1800 may be determined. The average was then calculated by repeating the process for a suitable sample size of molded abrasive particles of each molded abrasive particle. Any suitable computer program may be used, for example, Im Use ageJ in conjunction with images at suitable magnification (e.g., SEM or optical microscope images). The best fit circle and tip sharpness can be accurately measured.

[0132] The shaped abrasive particles of the embodiments herein have particular sharpness, strength, and shape index coefficients (i.e. For example, the abrasive may have a particular tip sharpness that promotes the formation of shaped abrasive particles having a sharpness of 3SF. For example, in one embodiment, the body of the shaped abrasive particles may be about 80 microns or less to at least In addition, in certain instances, the body may have a tip sharpness within about 1 micron. , about 78 microns or less, for example, 76 microns or less, about 74 microns or less, about 72 microns or less 70 microns or less, about 68 microns or less, about 66 microns or less, about 64 microns or less 100 microns or less, about 62 microns or less, about 60 microns or less, about 58 microns or less, about 56 microns or less 54 microns or less, about 52 microns or less, about 50 microns or less, about 48 microns or less 46 microns or less, about 44 microns or less, about 42 microns or less, about 40 microns or less 38 microns or less, about 36 microns or less, about 34 microns or less, about 32 microns or less 30 microns or less, about 28 microns or less, about 26 microns or less, about 24 microns or less 100 microns or less, about 22 microns or less, about 20 microns or less, about 18 microns or less, about 16 microns or less Tip sharpness of about 14 microns or less, about 12 microns or less, and about 10 microns or less In yet another non-limiting embodiment, the tip sharpness is at least about 2 microns. , e.g., at least about 4 microns, at least about 6 microns, at least about 8 microns , at least about 10 microns, at least about 12 microns, at least about 14 microns, At least about 16 microns, at least about 18 microns, at least about 20 microns, At least about 22 microns, at least about 24 microns, at least about 26 microns, at least At least about 28 microns, at least about 30 microns, at least about 32 microns, at least about 34 microns, at least about 36 microns, at least about 38 microns, at least about 40 microns, at least about 42 microns, at least about 44 microns, at least About 46 microns, at least about 48 microns, at least about 50 microns, at least about 52 microns, at least about 54 microns, at least about 56 microns, at least about 5 8 microns, at least about 60 microns, at least about 62 microns, at least about 64 microns, at least about 66 microns, at least about 68 microns, at least about 70 microns The body may have a tip sharpness within the range between any of the minimum and maximum values ​​set forth above. It will be understood that it may be possible.

[0133] As mentioned above, another grain characteristic is the shape index. The shape index of the body 1801 is 1801 is seen on a two-dimensional surface (e.g., a top major surface or a bottom major surface) of length and width The outer radius of the best-fit outer circle superimposed on the body is taken as the same plane of length and width. A value compared to the inner radius of the largest fitting inner circle that fits completely within the body 1801. For example, turning to FIG. 18B, shaped abrasive particles 1800 can be described as having a shape To illustrate the calculation of the shape index, a diagram is provided with two superimposed circles. The first circle is It is superimposed on the body 1801, which fits the entire perimeter of the body 1801 within its boundaries. The best-fit outer circle represents the smallest circle that can be used to fit the For the shape shown in FIG. 18B, the outer circle has three corners. Each may intersect the periphery of the body. However, certain irregular or complex For a given shape, the body is uniformly spaced within a circle so that each of the corners intersects the circle at equal intervals. It is understood that although the circle may not fit the given shape, a best fitting outer circle can still be formed. It will be understood that any suitable computer program, such as ImageJ, may be used. Use this in conjunction with an image of appropriate magnification (e.g., SEM or optical microscope image) to create an outer circle. The radius (Ro) can be measured.

[0134] As shown in FIG. 18B, a second circle (the inner circle) can be superimposed on the body 1801. , this circle is completely within the circumference of the body 1801 when viewed in terms of the length and width of the body 1801. The best-fit circle represents the largest circle that can be placed on the (Ri). As shown for the shape of FIG. 18B, certain irregular or For complex shapes, the inner circle is placed inside the body so that the circumference of the circle touches parts of the body at equal intervals. It will be appreciated that the best fit may not be uniform. The corresponding inner circle can still be formed. Use ImageJ to combine images at a suitable magnification (e.g., SEM or optical microscope images). Using this, we can create an inner circle and measure its radius (Ri).

[0135] The shape index can be calculated by dividing the outer radius by the inner radius (i.e., the shape For example, the body 1801 of the shaped abrasive particle 1800 has a shape index of about 0.3 It has a shape index of 5.

[0136] The shaped abrasive particles of the embodiments herein are characterized by their ability to promote the formation of shaped abrasive particles having a particular 3SF. For example, the body 1801 may have a particular shape index that is at least about 0.01 to about The shape index may be in the range of 0.49 or less. More specifically, in one non-limiting embodiment In this embodiment, the body 1801 of the shaped abrasive particle has a diameter of at least about 0.02, e.g., at least about 0.03, at least about 0.04, at least about 0.05, at least about 0.06, at least at least about 0.07, at least about 0.08, at least about 0.09, at least about 0.1 0, at least about 0.11, at least about 0.12, at least about 0.13, at least About 0.14, at least about 0.15, at least about 0.16, at least about 0.17, at least about 0.18, at least about 0.19, at least about 0.20, at least about 0. 21, at least about 0.22, at least about 0.23, at least about 0.24, at least at least about 0.25, at least about 0.26, at least about 0.27, at least about 0.28, At least about 0.29, at least about 0.30, at least about 0.31, at least about 0 .32, at least about 0.33, at least about 0.34, at least about 0.35, or less At least about 0.36, at least about 0.37, at least about 0.38, at least about 0.39 , at least about 0.40, at least about 0.41, at least about 0.42, at least about 0.43, at least about 0.44, at least about 0.45, at least about 0.46, may further have a shape index of at least about 0.47. Then, the main body 1801 is about 0.48 or less, for example, about 0.47 or less, about 0.46 or less, about 0.45 or less, about 0.44 or less, about 0.43 or less, about 0.42 or less, about 0.41 or less, about 0.40 or less, about 0.39 or less, about 0.38 or less, about 0.37 or less, about 0.36 or less, about 0.35 or less, approximately 0.34 or less, approximately 0.33 or less, approximately 0.32 or less, approximately 0.31 or less, approximately 0.30 or less, about 0.29 or less, about 0.28 or less, about 0.27 or less, about 0.26 or less, about 0.25 or less, about 0.24 or less, about 0.23 or less, about 0.22 or less, about 0.21 or less, about 0.20 or less, about 0.19 or less, about 0.18 or less, about 0.17 or less, about 0.16 or less, about 0.15 or less, about 0.14 or less, about 0.13 or less, about 0.12 or less, about 0.11 or less, about 0.10 or less, about 0.09 or less, about 0.08 or less, about 0.07 or less, about 0.06 or less, about The body 1801 may have a shape index of 0.05 or less, or even about 0.04 or less. It will be understood that the shape index may range between any of the minimum and maximum values ​​stated above. Wax.

[0137] Additionally, as shown herein, the body 1801 may be formed with a particular strength. The strength of the body can be measured by Hertzian indentation. The sample is then glued to a grooved aluminum SEM sample stage. The grooves are approximately 250 μm, which is wide enough to hold the grains in a line. The grains are most often 1 μm in size. It is polished in an automatic polishing machine using a series of diamond pastes, which are fine pastes, and finally In the final step, the polished grains are flat and aluminum-like. The polished grain height is therefore approximately 250 μm. The metal base is secured to a metal support holder and supports the MTS Universal Test Frame. The crosshead speed during the test was 2 μm / s. seconds. The diameter of the steel ball used as the indenter is 3.2 mm. The maximum indentation load is , is the same for all grains, and the load at the first fracture part is calculated as the product of the load displacement and the load drop. After indentation, the grains are optically imaged to determine the presence and severity of cracks. Record the pattern.

[0138] Calculate the Hertzian strength using the first load drop as the load at which the first ring crack occurs The Hertzian stress field is well defined and axisymmetric. Immediately beneath the tip it is in compression and outside the area defined by the radius of the contact area it is in tension. At low loads, the field is perfectly elastic. For a sphere of radius R and an applied normal load P, the solution of the stress field is The solution is easily found according to the original Hertzian hypothesis that the contact is frictionless.

[0139] The radius of the contact area is given by:

[0140]

number

[0141] During the ceremony,

[0142]

number

[0143] and E * are the combination of the elastic modulus E and Poisson's ratio ν of the indenter and sample material, respectively. It is a combination.

[0144] The maximum contact pressure is given by:

[0145]

number

[0146] The maximum shear stress is given (assuming ν=0.3) by: τ1=0.31, p0 (at R=0 and z=0.48a)

[0147] The Hertzian strength is the maximum tensile stress at which fracture occurs and is calculated according to: σ r =1 / 3(1-2ν)p0 (at R=a and z=0).

[0148] The first load drop is used as the load P in equation (3) to calculate the maximum tensile stress in the above equation. Therefore, we calculate the Hertzian intensity of the sample. In total, we get 2 for each sand grain type. 0 to 30 individual molded abrasive particle samples were tested, resulting in a range of Hertzian fracture stresses. The Weibull probability plot was performed according to the Weibull analysis procedure (outlined in ASTM C1239). A lot is generated, and the Weibull feature strength (scale value) and the Weibull coefficient (shape parameter) are calculated. A maximum likelihood procedure is used to calculate the distribution.

[0149] The shaped abrasive particles of the embodiments herein are characterized by their ability to promote the formation of shaped abrasive particles having a particular 3SF. This can be achieved by using a single ceramic composition, doped ceramics, or a combination of both.

[0023] Embodiments herein include, but are not limited to, tetrahydrofuran compositions, or composite compositions. This can be achieved using any of the compositions described in the present specification. The body 1801 of the shaped abrasive particle has a compressive strength of at least about 350 MPa to about 1500 MPa or more. For example, in one embodiment, the body 1801 has a strength within the range of about 149 0 MPa or less, for example, about 1480 MPa or less, about 1470 MPa or less, about 1460 MPa or less a or less, approximately 1450MPa or less, approximately 1440MPa or less, approximately 1430MPa or less, approximately 14 20MPa or less, approximately 1410MPa or less, approximately 1400MPa or less, approximately 1390MPa or less , approx. 1380MPa or less, approx. 1370MPa or less, approx. 1360MPa or less, approx. 1350M Pa or less, about 1340MPa or less, about 1330MPa or less, about 1320MPa or less, about 1 310MPa or less, approximately 1300MPa or less, approximately 1290MPa or less, approximately 1280MPa or less Lower, approx. 1270MPa or less, approx. 1260MPa or less, approx. 1250MPa or less, approx. 1240 MPa or less, approx. 1230MPa or less, approx. 1220MPa or less, approx. 1210MPa or less, approx. 1200MPa or less, approximately 1190MPa or less, approximately 1180MPa or less, approximately 1170MPa Below, about 1160MPa or less, about 1150MPa or less, about 1140MPa or less, about 113 0MPa or less, approximately 1120MPa or less, approximately 1110MPa or less, approximately 1100MPa or less, Approx. 1090MPa or less, Approx. 1080MPa or less, Approx. 1070MPa or less, Approx. 1060MPa a or less, approximately 1050MPa or less, approximately 1040MPa or less, approximately 1030MPa or less, approximately 10 20MPa or less, approximately 1010MPa or less, approximately 1000MPa or less, approximately 990MPa or less, Approx. 980MPa or less, approx. 970MPa or less, approx. 960MPa or less, approx. 950MPa or less, Approx. 940MPa or less, approx. 930MPa or less, approx. 920MPa or less, approx. 910MPa or less, Approx. 900MPa or less, approx. 890MPa or less, approx. 880MPa or less, approx. 870MPa or less, Approx. 860MPa or less, Approx. 850MPa or less, Approx. 840MPa or less, Approx. 830MPa or less, Approximately 820MPa or less, approximately 810MPa or less, approximately 800MPa or less, approximately 790MPa or less, Approx. 780MPa or less, approx. 770MPa or less, approx. 760MPa or less, approx. 750MPa or less, Approx. 740MPa or less, approx. 730MPa or less, approx. 720MPa or less, approx. 710MPa or less, Approx. 700MPa or less, approx. 690MPa or less, approx. 680MPa or less, approx. 670MPa or less, Approx. 660MPa or less, Approx. 650MPa or less, Approx. 640MPa or less, Approx. 630MPa or less, Approx. 620MPa or less, approx. 610MPa or less, approx. 600MPa or less, approx. 590MPa or less, Approx. 580MPa or less, approx. 570MPa or less, approx. 560MPa or less, approx. 550MPa or less, Approx. 540MPa or less, approx. 530MPa or less, approx. 520MPa or less, approx. 510MPa or less, Approx. 500MPa or less, approx. 490MPa or less, approx. 480MPa or less, approx. 470MPa or less, Approx. 460MPa or less, approx. 450MPa or less, approx. 440MPa or less, approx. 430MPa or less, A strength of about 420 MPa or less, about 410 MPa or less, or even about 400 MPa or less. Additionally, in another non-limiting embodiment, the body 1801 may have a length of at least about 360 MPa, for example, at least about 370 MPa, at least about 380 MPa, at least about 390 MPa, at least about 400 MPa, at least about 410 MPa, at least about 4 20 MPa, at least about 430 MPa, at least about 440 MPa, at least about 45 0 MPa, at least about 460 MPa, at least about 470 MPa, at least about 480 MPa, at least about 490 MPa, at least about 500 MPa, at least about 510 MPa Pa, for example, at least about 520 MPa, at least about 530 MPa, at least about 5 40 MPa, at least about 550 MPa, at least about 560 MPa, at least about 57 0 MPa, at least about 580 MPa, at least about 590 MPa, at least about 600 MPa, at least about 610 MPa, at least about 620 MPa, at least about 630 MPa Pa, at least about 640 MPa, at least about 650 MPa, at least about 660 MPa a, at least about 670 MPa, at least about 680 MPa, at least about 690 MPa , at least about 700 MPa, at least about 710 MPa, at least about 720 MPa, At least about 730 MPa, at least about 740 MPa, at least about 750 MPa, At least about 760 MPa, at least about 770 MPa, at least about 780 MPa, at least at least about 790 MPa, at least about 800 MPa, at least about 810 MPa, At least about 820 MPa, at least about 830 MPa, at least about 840 MPa, at least at least about 850 MPa, at least about 860 MPa, at least about 870 MPa, at least about 880 MPa, at least about 890 MPa, at least about 900 MPa, at least about 910 MPa, at least about 920 MPa, at least about 930 MPa, at least about 9 40 MPa, at least about 950 MPa, at least about 960 MPa, at least about 97 0 MPa, at least about 980 MPa, at least about 990 MPa, at least about 100 0 MPa, at least about 1010 MPa, at least about 1020 MPa, at least about 1 030MPa, at least about 1040MPa, at least about 1050MPa, at least about 1060 MPa, at least about 1070 MPa, at least about 1080 MPa, at least At least about 1090 MPa, at least about 1100 MPa, at least about 1110 MPa, At least about 1120 MPa, at least about 1130 MPa, at least about 1140 MPa , at least about 1150 MPa, at least about 1160 MPa, at least about 1170 MPa Pa, at least about 1180 MPa, at least about 1190 MPa, at least about 120 0 MPa, at least about 1210 MPa, at least about 1220 MPa, at least about 1 230 MPa, at least about 1240 MPa, at least about 1250 MPa, at least About 1260 MPa, at least about 1270 MPa, at least about 1280 MPa, at least Both may have a strength of about 1290 MPa, or even at least about 1300 MPa. It is understood that the strength of the body 1801 can be within a range between any of the minimum and maximum values ​​stated above. It will be understood.

[0150] According to one embodiment, empirical studies of shaped abrasive particles have shown that tip sharpness, strength, and shape are comparable with respect to each other. By controlling the specific grain characteristics of the morphology index, the grinding behavior of the shaped abrasive particles (e.g., It has been shown that the formation process (spontaneous cutting behavior) can be modified. Seth has shown that the interrelationships of grain properties such as tip sharpness, shape index, and strength of the body are important in forming and grinding. Selected and controlled in a predetermined manner to affect the grinding performance (e.g., self-sharpening behavior) of the abrasive particles For example, in one embodiment, the method of forming the shaped abrasive particles may be The method includes selecting a material having a predetermined strength and forming a predetermined forming a body of shaped abrasive particles having tip sharpness and a predetermined shape index. That is, the material for forming the molded abrasive particles is first prepared so that the body has a predetermined strength. The shaped abrasive particles may then be selected to provide improved performance over conventional shaped abrasive particles. Based on a predetermined strength, a predetermined tip sharpness and a predetermined shape index may be obtained. Grain characteristics can be selected and controlled.

[0151] In yet another embodiment, a method of forming shaped abrasive particles includes forming shaped abrasive particles having a predetermined shape index. Selecting a material and providing a predetermined tip sharpness and a predetermined strength based on a predetermined shape index. The method may include forming a body of shaped abrasive particles having a uniform grain size. The shape of the body may first be selected, after which the shaped abrasive particles are modified over conventional shaped abrasive particles. Based on a predetermined shape index, the body may have a predetermined tip sharpness and And the grain characteristics for a given strength can be selected and controlled.

[0152] In yet another approach, a method of forming the shaped abrasive particles includes: Selecting a predetermined tip sharpness may be included. After preselecting the tip sharpness of the body, The shape index and strength of the body can be selected and controlled based on the desired tip sharpness. Such processes result in the formation of shaped abrasive particles that have improved performance over conventional shaped abrasive particles. This may promote.

[0153] In yet another embodiment, a method of forming shaped abrasive particles includes adding a material having a predetermined height. (The height can be the average height of the body, the internal height, or the edge or tip height.) ), and a predetermined tip sharpness, a predetermined strength, and a predetermined The method may include forming a body of shaped abrasive particles having a shape index of The height of the body of the abrasive particles may first be selected, after which the shaped abrasive particles are molded to a conventional shaped abrasive particle. Based on a predetermined height, a predetermined tip sharpness of the body may be provided so as to have improved performance compared to the Grain properties in terms of grain size, strength, and shape index can be selected and controlled.

[0154] Furthermore, through experimental studies, the performance of the molded abrasive particles was evaluated in terms of tip sharpness, strength, and shape index. It is known that the correlation can be used to predict the shape of the object. Based on the strength factor (3SF) formula: 3SF = [(S*R*B 2 ) / 2500] (where "S" represents the strength of the body (in MPa), and R represents the tip of the body. ("SF" represents the edge sharpness (in microns) and "B" represents the body shape index). The formula for 3SF is It is intended to provide an initial prediction of the effectiveness of grain grinding behavior based on grain property interrelationships. Other factors, such as the form of the abrasive article in which the shaped abrasive particles are incorporated, also affect particle behavior. Note that this can have an effect.

[0155] According to one embodiment, the body of the shaped abrasive particles has a molecular weight of at least about 0.7 to about 1.7. In at least one embodiment, the body may have a particular 3SF value within a range. About 0.72, e.g., at least about 0.75, at least about 0.78, at least about 0. 8, at least about 0.82, at least about 0.85, at least about 0.88, at least about 0.90, at least about 0.92, at least about 0.95, or even at least In yet another embodiment, the body may have a 3SF of about 1.68 or less, e.g. , about 1.65 or less, about 1.62 or less, about 1.6 or less, about 1.58 or less, about 1.55 or less, About 1.52 or less, about 1.5 or less, about 1.48 or less, about 1.45 or less, about 1.42 or less, about 1.4 or less, about 1.38 or less, about 1.35 or less, about 1.32 or less, about 1.3 or less, about 1. 28 or less, about 1.25 or less, about 1.22 or less, about 1.2 or less, about 1.18 or less, about 1.1 The body may have a 3SF of 5 or less, about 1.12 or less, or about 1.1 or less. It will be understood that the 3SF value may range between a value and a maximum value.

[0156] In addition to the aforementioned grain characteristics and 3SF values ​​of the embodiments herein, in certain cases: Additional grain heights may be correlated with certain grain characteristics described herein. or alternative grain characteristics. Specifically, the grain height is a function of the shaped abrasive particles and and to promote improved grinding performance of an abrasive article using such shaped abrasive particles. Any of the properties (e.g., strength and tip sharpness) may be controlled. Of note, the shaped abrasive particles of the embodiments herein may have a particular height, which may be It may be correlated with certain grain characteristics, so that the stresses experienced during grinding may result in self-sharpening. According to one embodiment, the molding grinding The body of the abrasive particles may be in the range of about 70 microns to about 500 microns, for example about 175 microns. from about 175 microns to about 300 microns, or Furthermore, it may have a height (H) within the range of about 200 microns to about 300 microns.

[0157] The shaped abrasive particles of embodiments herein having particular grain characteristics and 3SF are In one aspect, the molded abrasive may have any of the other characteristics of the embodiments described in . The body 1701 of the particle can have a particular composition. For example, the body 1701 can be made of a ceramic material. The material may include, for example, a polycrystalline ceramic material, more specifically, an oxide. In certain cases, the body may be made of a material having a high content of alumina. alumina, e.g., at least about 95% by weight of the total weight of the body, or At least about 95.1% by weight, at least about 95.2% by weight, at least about 95 0.3% by weight, at least about 95.4% by weight, at least about 95.5% by weight, at least about 95.6% by weight, at least about 95.7% by weight, at least about 95.8% by weight, at least at least about 95.9% by weight, at least about 96% by weight, at least about 96.1% by weight, at least about at least about 96.2% by weight, at least about 96.3% by weight, at least about 96.4% by weight, at least about 96.5% by weight, at least about 96.6% by weight, at least about 96.7% by weight, at least about 96.8% by weight, at least about 96.9% by weight, at least about 97% by weight, At least about 97.1% by weight, at least about 97.2% by weight, at least about 97.3% by weight %, at least about 97.4% by weight, or even at least about 97.5% by weight aluminum Additionally, in another non-limiting embodiment, the body 1701 may comprise 99.5% by weight For example, about 99.4% by weight or less of the total weight of the body 1201, about 99 .3% by weight or less, about 99.2% by weight or less, about 99.1% by weight or less, about 99% by weight or less, about 98.9% by weight or less, approximately 98.8% by weight or less, approximately 98.7% by weight or less, approximately 98.6% by weight Below, about 98.5% by weight or less, about 98.4% by weight or less, about 98.3% by weight or less, about 98. 2% by weight or less, about 98.1% by weight or less, about 98% by weight or less, about 97.9% by weight or less, about 9 7.8% by weight or less, about 97.7% by weight or less, about 97.6% by weight or less, or even about 9 % alumina. The body 1701 may include up to 7.5% by weight alumina. It will be understood that the alumina content may range between 0.1 and 0.5. In one embodiment, the body 1701 can consist essentially of alumina.

[0158] In a specific example, the shaped abrasive particles of the embodiments herein have a minimum major surface and a side surface intersection. The portions may have a particular draft angle, which indicates a specific manner in which the abrasive particles are formed. In one particular example, the present invention provides a method for producing an abrasive particle having a high abrasive strength and / or a high abrasive particle strength. The shaped abrasive particles of the invention may have an average draft angle, which is determined by a statistically relevant sample size. A sample of molded abrasive particles (e.g., at least 20 particles) of size or random size It may be an average draft measurement. In a specific case, the average draft is 95° or less, For example, 94° or less, or 93° or less, or 92° or less, or 91° or less, or In at least one non-limiting embodiment, the present invention may further include a method for manufacturing a semiconductor device having a semiconductor laser, the method comprising the steps of: The shaped abrasive particles of the embodiment have an angle of at least 80°, for example at least 82°, or less. at least 84°, or at least 85°, or at least 86°, or at least 8 The shaped abrasive particles of the embodiments herein may have an average draft angle of at least 80°. 80° to 94° or less, or at least Within the range of at least 82° to 93°, or at least 84° to 93° The average of the range including any minimum and maximum values ​​set forth above, including but not limited to the range. It will be appreciated that the draft angle may be uniform.

[0159] The draft angle is the angle at which the shaped abrasive particles are spaced apart from the major surface, as shown by the dashed lines in FIG. Cut it in half at an angle of approximately 90° and perpendicular to one of the sides. Whenever possible, the parting line should be perpendicular to the side and along the major axis of the particle. This portion of the shaped abrasive particle should then be cut into the shape shown in FIG. The specimen is then mounted and examined by SEM in a manner similar to that provided in the present application. The ImageJ software is an example of a program that can be used to analyze the images of the body. The smallest major surface is found by identifying the largest major surface and selecting the surface opposite it. Certain shaped abrasive particles may have a generally square cross-section. To identify the surfaces, the largest major surface must first be determined. The smallest major surface is , the surface opposite the largest main surface. , may aid in determining the smallest major surface. As shown by the underline in FIG. 18D, Using suitable image processing software (e.g., ImageJ), the boundary between the main surface and the side wall is determined. Draw a straight line along both major surfaces between the corners that meet. Use image analysis software to Use the 2 lines to measure the longer line. The shorter of the two lines is the smaller of the two major surfaces. In the example shown in Figure 18D, the line on the right side of the image is shorter and has a steeper slope. The spacing should be measured at the corner identified as the upper right corner, which is also shown in FIG. 18E. It is being done.

[0160] To measure the draft angle, the most appropriate angle is formed so that an intersection angle is formed as shown in Figure 18E. Lines can be drawn along small major surfaces. The overall shape of the surface is taken into account, and the corners of the grains are Imperfections or non-representative surface irregularities in the part (e.g. cracks or chips due to the mounting procedure). In addition, the line representing the smaller main surface is drawn with a draft angle. Draft (i.e. measured at the intersection) is drawn to represent the portion of the major surface that joins the wall. The angle of the body (measured as a square) is determined by the interior angle formed at the intersection of the lines.

[0161] As described in embodiments herein, the body of the shaped abrasive particles contains certain additives. The additive may be an oxide, a metal element, a rare earth element, or a combination thereof. In one specific example, the cellulose may be of a non-organic variety, including but not limited to a mixture of The additive may be a dopant material, which affects the microstructure of the material. It may be present in a small amount sufficient to achieve a specific effect, but it is not necessarily present in a trace amount or less. The optotype materials include alkali elements, alkaline earth elements, rare earth elements, transition metal elements, and the like. The dopant may include an element selected from the group consisting of combinations of the above. The materials are hafnium, zirconium, niobium, tantalum, molybdenum, vanadium, and lithium. tium, sodium, potassium, magnesium, calcium, strontium, barium , Scandium, Yttrium, Lanthanum, Cesium, Praseodymium, Chromium, Cobalt Titanium, iron, germanium, manganese, nickel, titanium, zinc, and combinations thereof. In yet a further specific embodiment, the element may be selected from the group consisting of dopa. The support material may be magnesium, including but not limited to magnesium oxide (MgO). The composition may include ruthenium-containing species.

[0162] Certain compositions of shaped abrasive particles according to embodiments herein include specific contents of magnesium oxide. For example, the body 1701 may include a support that is at least about 0.5 times the total weight of the body 1701. %, for example, at least about 0.6% by weight, at least about 0.7% by weight, at least about 0 0.8% by weight, at least about 0.9% by weight, at least about 1% by weight, at least about 1.1% by weight %, at least about 1.2% by weight, at least about 1.3% by weight, at least about 1.4% by weight %, at least about 1.5% by weight, at least about 1.6% by weight, at least about 1.7% by weight , at least about 1.8% by weight, at least about 1.9% by weight, at least about 2% by weight, at least about 2.1% by weight, at least about 2.2% by weight, at least about 2.3% by weight, Magnesium content of about 2.4% by weight, or even at least about 2.5% by weight. In yet another non-limiting embodiment, the body 1701 can include about 8% by weight or less of , about 7% by weight or less, about 6% by weight or less, about 5% by weight or less, about 4.9% by weight or less, about 4.8% by weight % or less, approximately 4.7% by weight or less, approximately 4.6% by weight or less, approximately 4.5% by weight or less, approximately 4.4% by weight amount% or less, approximately 4.3% by weight or less, approximately 4.2% by weight or less, approximately 4.1% by weight or less, approximately 4% by weight Below, approximately 3.9% by weight or less, approximately 3.8% by weight or less, approximately 3.7% by weight or less, approximately 3.6% by weight Below, approximately 3.5% by weight or less, approximately 3.4% by weight or less, approximately 3.3% by weight or less, approximately 3.2% by weight Below, about 3.1% by weight or less, about 3% by weight or less, about 2.9% by weight or less, about 2.8% by weight or less , about 2.7% by weight or less, about 2.6% by weight or less, about 2.5% by weight or less of magnesium The content of the magnesium-containing species in the body may be within any of the minimum and maximum values ​​set forth above. It will be understood that the range may be between 0.01 and 0.1. In one embodiment, the body 1701 is made of alumina (Al2O3) and magnesium-containing species (e.g., , MgO and / or aluminum magnesium).

[0163] Further, as described herein, the present invention relates to a shaped abrasive particle according to any of the embodiments herein. The body may be formed from a polycrystalline material that includes grains, the grains being composed of nitrides, oxides, or the like. , carbides, borides, oxynitrides, diamond, and combinations thereof. Additionally, the body 1701 may be essentially free of organic materials. It may be essentially free of rare earth elements and essentially free of iron. Free of charge is understood to mean that the body is formed in a manner that excludes such materials. However, the body does not necessarily represent such materials due to the fact that such materials may be present in trace amounts or less. The material may not be completely free of these substances.

[0164] fixed abrasive articles After the shaped abrasive particles are formed or provided, the particles are combined with other materials to form a fixed abrasive article. In fixed abrasive bodies, shaped abrasive particles are attached to a matrix or substrate. Some suitable exemplary fixed abrasive articles include Examples of bonded abrasive articles include those in which shaped abrasive particles are bonded to a three-dimensional matrix of binding material. In other cases, the fixed abrasive article may be a coated abrasive article, Here, shaped abrasive particles are dispersed in a single layer over a backing (e.g., substrate) and The above adhesive layers can be used to bond to the backing.

[0165] FIG. 5A includes a diagram of a bonded abrasive article incorporating abrasive particulate material according to one embodiment. As shown, the bonded abrasive body 590 includes a bond material 591, abrasive grains contained within the bond material. The adhesive may include a binder material 592, and voids 598 within the binder material 591. The composite material 591 may include organic materials, inorganic materials, and combinations thereof. Materials include polymers, e.g., epoxies, resins, thermosets, thermoplastics, polyimides, Certain preferred inorganic fillers include inorganic fillers, inorganic amides, polyamides, and combinations thereof. Materials include metals, metal alloys, glassy phase materials, crystalline phase materials, ceramics, and the like. The combination of these can be mentioned.

[0166] In some cases, the abrasive particulate material 592 of the bonded abrasive body 590 may include shaped abrasive particles 593, 594, 595, and 596. In a specific example, shaped abrasive particles 593, 59 4, 595, and 596 may be different types of particles, which may be used in the practice of the present invention. The compositions, two-dimensional shapes, three-dimensional shapes, sizes, and combinations thereof described in the embodiments are Alternatively, the bonded abrasive article may include a single type of shaped abrasive particles. stomach.

[0167] The bonded abrasive body 590 may include a type of abrasive particulate material 597, which represents a diluted abrasive particle. These differ from shaped abrasive particles 593, 594, 595, and 596 in composition, two-dimensional shape, three-dimensional shape, and The dimensional shapes, sizes, and combinations thereof may vary.

[0168] The porosity 598 of the bonded abrasive body 590 may be open porosity, closed porosity, or a combination thereof. The pores 598 may be a large number (or a large number) based on the total volume of the body of the bonded abrasive body 590. % by volume. Alternatively, the pores 598 may be present in a volume percent of the total volume of the body of the bonded abrasive body 590. The bond material 591 may be present in small amounts (volume %) in the body of the bonded abrasive body 590. The bond material 591 may be present in a large amount based on volume (vol %). Alternatively, the bond material 591 may be present in a bonded abrasive body. 590 may be present in small amounts (volume %) based on the total volume of the body. The polymeric material 592 is present in a major amount (volume %) based on the total volume of the body of the bonded abrasive body 590. Alternatively, the abrasive particulate material 592 may be about 100% by weight based on the total volume of the body of the bonded abrasive body 590. It may be present in small amounts (volume %).

[0169] FIG. 5B includes a cross-sectional view of a coated abrasive article according to an embodiment. The article 500 includes a substrate 501 (e.g., a backing) and at least one substrate 502 covering a surface of the substrate 501. The adhesive layer may include a make coat 503 and / or a size coat 504. 04. The coated abrasive article 500 may include shaped abrasive particles according to any of the embodiments herein. 505 and random abrasive particulate material 510, which may include shaped abrasive particles. and a second type of abrasive particulate material 507 in the form of diluted abrasive particles having a desired shape. The shaped abrasive particles 505 in FIG. 5B are shown generally for purposes or discussion only and are not intended to be limiting. It will be understood that the fabric article may include any of the shaped abrasive particles embodied herein. The make coat 503 covers the surface of the substrate 501 and contains the shaped abrasive particles 505 and the second species. The size coat 504 may surround at least a portion of the abrasive particulate material 507. shaped abrasive particles 505 and a second type of abrasive particulate material 507 and make coat 503 It may be covered and bonded thereto.

[0170] In one embodiment, the substrate 501 is made of organic materials, inorganic materials, and combinations thereof. In certain cases, the substrate 501 may include a woven material. The substrate 501 may be made of a non-woven material. Particularly suitable substrate materials include poly Esters, polyurethanes, polypropylenes, and / or polyimides, such as DuPon Examples of organic materials include polymer-containing materials such as KAPTON, a material made from cellulose acetate, and paper. Some suitable inorganic materials include metals, metal alloys, especially copper, aluminum, steel foil, etc. The backing may include a catalyst, a binder, a hardener, and a combination thereof. (curant), antistatic agent, suspending agent, anti-clogging agent agents), lubricants, wetting agents, pigments, extenders, viscosity modifiers, dispersants, defoamers, and abrasives. The composition may include one or more additives selected from the group of abrasives.

[0171] The polymer formulation may be used to coat any of the various layers of the coated abrasive article 500, e.g., Frontfill, presize, make coat, size coat, and / or It can be used to form a front fill, a supersize coat, etc. When used, the polymer formulation typically comprises a polymer resin, a fibrillated fiber (preferably pulp form), bulking materials, and other optional additives. The preferred formulation for the embodiment includes phenolic resin, wollastonite extender, antifoaming agent, surfactant, The preferred polymer resins include materials such as a binder, a fibrillating fiber, and a balance of water. Resin materials include phenolic resin, urea / formaldehyde resin, and phenolic / latex. and thermosetting resins, including thermosetting resins, thermosetting resins, and combinations of such resins. Other suitable polymeric resin materials include radiation curable resins, such as electron beam Resins that can be cured using UV radiation or visible light, e.g., epoxy resins, acrylics acrylated oligomers of acrylated epoxy resins, polyester resins, acrylated urethanes, and Includes polyester acrylates as well as mono- and multi-acrylated monomers Acrylated monomers may also be included. The formulation also enhances the erodibility of the deposited material. The abrasive grains are provided with a non-reactive thermoplastic resin binder that can enhance the self-sharpening properties of the abrasive grains. Examples of such thermoplastic resins include polypropylene glycol, polyethylene glycols, and polyoxypropylene-polyoxyethene block copolymers. The use of a front fill on the substrate 501 allows for a favorable adhesion of the make coat 503. For improved application and orientation of the shaped abrasive particles 505 in a predetermined orientation, The surface uniformity can be improved.

[0172] The make coat 503 may be applied to the surface of the substrate 501 in a single process or The abrasive particulate material 510 is combined with the make coat 503 material and applied as a mixture to the substrate. The make coat 503 may be applied to the surface of the substrate 501. Suitable materials for the make coat 503 include organic materials. In particular, for example, polyester, epoxy resin, polyurethane, polyamide, polyacrylic Polyacrylate, polymethacrylate, polyvinyl chloride, polyethylene, polysiloxane, silicone cellulose acetate, nitrocellulose, natural rubber, starch, shellac, and the like. In one embodiment, the polymer material may include a mixture of the above. The coated substrate 503 may include a polyester resin. The coated substrate may then be The coated abrasive particles may be heated to harden the abrasive particles to the substrate. The substrate 501 may be heated to a temperature of about 100° C. to less than about 250° C. during this curing process. do.

[0173] The abrasive particulate material 510 may include shaped abrasive particles 505 according to embodiments herein. In a specific example, the abrasive particulate material 510 includes different types of shaped abrasive particles 50. 5. These different types of shaped abrasive particles are described in the embodiments herein. As such, composition, two-dimensional shape, three-dimensional shape, size, and combinations thereof are mutually exclusive. As shown, the coated abrasive 500 is a shaped abrasive particle coated abrasive of the embodiments herein. It may include shaped abrasive particles 505, which may have any of a number of shapes.

[0174] The other types of abrasive particles 507 can be diluent particles that are different from the shaped abrasive particles 505. For example, the diluent particles may vary in composition, two-dimensional shape, three-dimensional shape, size, and combinations thereof. shaped abrasive particles 505. For example, abrasive particles 507 may have random shapes. The abrasive particles 507 may represent conventional crushed abrasive grits. It may have a smaller median particle size than the median.

[0175] After the make coat 503 is sufficiently formed with the abrasive particulate material 510, a size coat 5 04 can be formed to cover and bond to the abrasive particulate material 510 in place. The size coat 504 may include an organic material and may be made essentially of a polymeric material. Of note, polyester, epoxy resin, polyurethane, poly Amides, polyacrylates, polymethacrylates, polyvinyl chloride, polyethylene, poly Siloxane, silicone, cellulose acetate, nitrocellulose, natural rubber, starch, silica silane, ...

[0176] According to one embodiment, the shaped abrasive particles 505 are aligned relative to each other and / or the substrate 501. It may be possible to orient it in a given orientation. Although not entirely known, one or a set of dimensional properties may be It is believed that the combination may be responsible for improving the orientation of the shaped abrasive particles 505. 5B, the shaped abrasive particles 505 are aligned in a flat orientation relative to the substrate 501. In the flat orientation, the bottom surface 304 of the shaped abrasive particles is in contact with the surface of the substrate 501. The top surface 303 of the shaped abrasive particles 505 may be closest to the substrate 501 and may be closest to the workpiece. It may be configured to make an initial contact with the object.

[0177] According to another embodiment, the shaped abrasive particles 505 have a predetermined side orientation, such as that shown in FIG. In a specific example, the abrasive article 500 may include shaped abrasive grains. Of the total content of shaped abrasive particles 505, a majority of the shaped abrasive particles 505 may have a predetermined lateral orientation. In the side orientation, the bottom surfaces 304 of the shaped abrasive particles 505 are spaced apart from one another and are aligned with the surface of the substrate 501. In a specific example, the bottom surface 304 may be angled relative to the surface of the substrate 501. Further, the upper surface 303 may be spaced apart from the surface of the substrate 501. , and angled thereto, and in certain cases this surface forms a nearly acute angle (A) In the side orientation, the side 305 may be closest to the surface of the substrate 501, and more specifically, Specifically, it may be in direct contact with the surface of the substrate 501 .

[0178] For certain other abrasive articles herein, multiple molded portions on the abrasive article 500 At least about 55% of the abrasive particles 505 are attached to the backing in a predetermined lateral orientation. Additionally, this percentage may be higher, for example at least about 60%, but not less than about 100%. At least about 65%, at least about 70%, at least about 75%, at least about 77%, At least about 80%, at least about 81%, or even at least about 82%. For one non-limiting embodiment, the abrasive article 500 comprises shaped abrasive particles 505 of the present disclosure. wherein about 99% or less of the total content of the shaped abrasive particles has a predetermined lateral orientation. It has a direction.

[0179] To determine the percentage of particles with a given orientation, a CT scanner was used operating under the conditions in Table 1 below. A scanning machine is used to obtain 2D microfocus X-ray images of the abrasive article 500. X-ray 2D imaging is , using Quality Assurance software, the molded polishing on the backing The specimen holder is a plastic frame with a 4" x 4" window. and a 0.5 inch diameter solid metal rod (top is semi-flat with two screws to secure the frame) Prior to imaging, the specimen is oriented so that the heads of the screws face the direction of the X-rays. Then, clip it onto one side of the frame so that it fits in the 5 corners of the 4" x 4" window. A region of is selected for imaging at 120 kV / 80 μA. Each 2D projection is imaged with an X-ray offset / Gain corrected and recorded at 15x magnification.

[0180] [Table 1]

[0181] Images were then captured and analyzed using the ImageJ program, where different The orientations are assigned values ​​according to Table 2 below. FIG. 11 shows a coated abrasive according to one embodiment. Images are included that depict a portion of the article, and these images are used to form a molded abrasive on a backing. The orientation of the particles can be analyzed.

[0182] [Table 2]

[0183] Three calculations are then performed as shown in Table 3 below. After the calculations are performed, It is possible to derive the percentage of grains per square centimeter that are in a grain orientation (e.g., side orientation). can.

[0184] [Table 3]

[0185] -All of these are normalized with respect to the representative region of the image. To account for the fact that they are not completely present in the image, a magnification of ±0.5 was applied. .

[0186] Additionally, abrasive articles made with shaped abrasive particles may be produced using various loadings of shaped abrasive particles. For example, the abrasive article may comprise a plurality of shaped abrasive particles in an open-coated configuration or The coated abrasive article may be a single layer comprising a closed-coat construction. The coating density of the shaped abrasive particles is approximately 70 particles / cm 2Below is the O In other instances, the amount of pun-coated abrasive particles per square centimeter of the abrasive article may be defined as The open coat density of the molded abrasive particles is approximately 65 particles / cm 2 Below, for example, about 60 particles / cm 2 Below, about 55 particles / cm 2 Less than or even about 50 particles / cm 2 Below is Further, in one non-limiting embodiment, an open-type abrasive using the shaped abrasive particles herein is obtained. The density of the coated abrasive article is at least about 5 grains / cm 2 , or even at least about 10 particles / cm 2 The open coat density of the coated abrasive article may be any minimum of any of the above. It will be understood that the range may be between the value and the maximum value.

[0187] In an alternative embodiment, the plurality of shaped abrasive particles are provided with a low coating density of the shaped abrasive particles. At least about 75 particles / cm 2 , e.g., at least about 80 particles / cm 2 , at least about 8 5 particles / cm 2 , at least about 90 particles / cm 2 , at least about 100 particles / cm 2 Yes Further, in one non-limiting embodiment, a closed coated abrasive article may be defined as having: The closed coat density of the coated abrasive article using the shaped abrasive particles of the present invention is about 500 particles / cm 2 The closed coat density of the coated abrasive article may be less than or equal to any of the minimum values ​​set forth above. It will be understood that the range may be between the maximum and minimum values.

[0188] In certain cases, the abrasive article may be provided with an open coat density coating that is uniform across the outer abrasive surface of the article. In other embodiments, the abrasive particulate material covering the polishing surface may be less than about 50%. The coating rate of the abrasive particulate material relative to the total area is about 40% or less, about 30% or less, about 2 It may be 5% or less, or even about 20% or less. The coating rate of the abrasive particulate material relative to the total area of ​​the abrasive surface is at least about 5%. , for example, at least about 10%, at least about 15%, at least about 20%, at least About 25%, at least about 30%, at least about 35%, or even at least about 40%. The percent coverage of the shaped abrasive particles relative to the total area of ​​the abrasive surface can be any of the above. It will be understood that the range may be between the minimum and maximum values.

[0189] Some abrasive articles have a particular length (e.g., run) of the backing or substrate 501. For example, in one embodiment, the abrasive article may have a normalized weight at least about 20 lbs / ream, for example at least about 25 lbs / ream, or even Molded abrasive particles of at least about 30 lbs / ream can be used. In a non-limiting embodiment, the abrasive article has a normalized weight of about 60 lbs / ream or less, e.g. For example, the shaped abrasive particles may be about 50 lbs / ream or less, or even about 45 lbs / ream or less. The abrasive articles of embodiments herein may include any of the minimum and maximum normalized weights set forth above. It will be appreciated that shaped abrasive particles within the range between the maximum and minimum values ​​may be utilized.

[0190] The plurality of shaped abrasive particles in the abrasive articles described herein allows for the batch of abrasive particles to be The first portion of the shaped abrasive particle may be defined, and the features described in the embodiments herein may be defined as The present invention relates to a method for detecting a characteristic that is present in at least a first portion of a batch. By controlling one or more of the process parameters described herein, The prevalence of one or more features of the shaped abrasive particles of the embodiments can also be controlled. The present invention relates to an abrasive article, comprising: a first abrasive particle having a first diameter of 10 mm and a second abrasive particle having a first diameter of 10 mm; This can promote alternative or improved deployment of particles, further improving the performance or This can facilitate improved application. The batch can also include a second portion of abrasive particles. The second portion of the abrasive particles may include diluent particles.

[0191] According to one aspect of the embodiments herein, a fixed abrasive article includes a blend of abrasive particles. The blend of abrasive particles may include a first type of shaped abrasive particles and a second type of shaped abrasive particles. The first type of shaped abrasive particles may include the shaped abrasive particles of the embodiments herein. The second type of shaped abrasive particles may include any of the features of the abrasive particles of the embodiments herein. In addition, in light of this disclosure, the practice of the present invention may include any feature of a shaped abrasive particle. One or more different types of abrasive particles, including morphological and / or conventional abrasive particles. It is understood that when combined in a fixed abrasive body, the overall performance of the abrasive article can be improved. This may involve using a blend of different types of abrasive particles, where Different types of abrasive particles have different sizes, shapes, hardness, fracture toughness, strength, tip sharpness, shape index, etc. The number, composition, type, and / or dopant content, and combinations thereof may vary. obtain.

[0192] The blend of shaped abrasive particles includes a first type of shaped abrasive grains present in a first content (C1). The first content may include a first type of component compared to the total content of particles in the blend. The blend ratio of the abrasive particles may be expressed as a percentage (e.g., weight percent) of the abrasive particles. The blend may include a second content (C2) of a second type of shaped abrasive particles, which may be added to the blend. expressed as a percentage (e.g., weight percent) of the second type of shaped abrasive particles relative to the total weight of the The first content may be the same as or different from the second content. In certain instances, the blend may have a first content (C1) of about 90% of the total content of the blend. In another embodiment, the first content can be at least For example, less than about 85%, less than about 80%, less than about 75%, less than about 70%, more than about 65% Lower, about 60% or less, about 55% or less, about 50% or less, about 45% or less, about 40% or less, about 35 % or less, about 30% or less, about 25% or less, about 20% or less, about 15% or less, about 10% or less, or even about 5% or less. Further, in one non-limiting embodiment, the first The content of the first type of shaped abrasive particles is at least about 1% of the total content of abrasive particles in the blend. In still other instances, the first content (C1) may be at least about 5%, e.g. , at least about 10%, at least about 15%, at least about 20%, at least about 25% , at least about 30%, at least about 35%, at least about 40%, at least about 45% , at least about 50%, at least about 55%, at least about 60%, at least about 65% , at least about 70%, at least about 75%, at least about 80%, at least about 85% , at least about 90%, or even at least about 95%. It is understood that 1) may be present in a percentage range between any of the minimum and maximum values ​​set forth above. It will be.

[0193] The blend of abrasive particles may include a particular content of a second type of shaped abrasive particles. For example, The second content (C2) can be up to about 98% of the total content of the blend. , the second content is about 95% or less, for example, about 90% or less, about 85% or less, about 80% or less, About 75% or less, about 70% or less, about 65% or less, about 60% or less, about 55% or less, about 50% or less lower, about 45% or less, about 40% or less, about 35% or less, about 30% or less, about 25% or less, about 20 % or less, about 15% or less, about 10% or less, or even about 5% or less. Additionally, in one non-limiting embodiment, the second content (C2) is at least For example, the second content may be at least about 5%, e.g., at least about 1%. at least about 10%, at least about 15%, at least about 20%, at least about 25%, at least At least about 30%, at least about 35%, at least about 40%, at least about 45%, at least At least about 50%, at least about 55%, at least about 60%, at least about 65%, at least At least about 70%, at least about 75%, at least about 80%, at least about 85%, at least The second content (C2) may be at least about 90%, or even at least about 95%. It will be understood that the ratio may be within a range between the minimum and maximum percentages stated above.

[0194] According to another embodiment, the blend of abrasive particles comprises a first content (C1) and a second content (C 2) may have a blend ratio (C1 / C2) that may define the ratio of C1 to C2. For example, in one embodiment, In yet another embodiment, the blend ratio (C1 / C2) may be about 10 or less. The blend ratio (C1 / C2) is about 8 or less, for example, about 6 or less, about 5 or less, about 4 or less, about 3 or less. Below, about 2 or less, about 1.8 or less, about 1.5 or less, about 1.2 or less, about 1 or less, about 0.9 or less , about 0.8 or less, about 0.7 or less, about 0.6 or less, about 0.5 or less, about 0.4 or less, about 0.3 or less, or even about 0.2 or less. In yet another non-limiting embodiment, The blend ratio (C1 / C2) is at least about 0.1, for example, at least about 0.15, At least about 0.2, at least about 0.22, at least about 0.25, at least about 0.2 8, at least about 0.3, at least about 0.32, at least about 0.4, at least about 0 .45, at least about 0.5, at least about 0.55, at least about 0.6, at least About 0.65, at least about 0.7, at least about 0.75, at least about 0.8, less at least about 0.9, at least about 0.95, at least about 1, at least about 1.5, at least It can be at least about 2, at least about 3, at least about 4, or even at least about 5. The blend ratio (C1 / C2) may be within a range between any of the minimum and maximum values ​​mentioned above. It will be understood that.

[0195] In at least one embodiment, the blend of abrasive particles may include a majority of shaped abrasive particles. That is, the blend comprises a first type of shaped abrasive particles and a second type of shaped abrasive particles. The abrasive may be formed primarily from shaped abrasive particles, including, but not limited to, at least one In one embodiment, the blend of abrasive particles comprises a first type of shaped abrasive particles and a second type of shaped abrasive particles. However, in other non-limiting embodiments, the abrasive particles may consist essentially of shaped abrasive particles. The blend may also include other types of abrasive particles. For example, the blend may include conventional abrasives. A third type of abrasive particles may be included which may include abrasive grains or shaped abrasive particles. The abrasive particles of this class include those having irregular shapes that can be achieved by conventional crushing and grinding techniques. A diluent type of abrasive particles may be included.

[0196] According to another embodiment, the blend of abrasive particles may include a plurality of shaped abrasive particles. Each shaped abrasive particle of the plurality of particles is attached to a backing, such as the substrate of a coated abrasive article. A suitable exemplary controlled orientation may be a predetermined rotational orientation. At least one of a predetermined orientation, a predetermined lateral orientation, and a predetermined longitudinal orientation may be included. In at least one embodiment, the plurality of shaped abrasive particles having a controlled orientation comprises a blend of at least a portion of the first type of shaped abrasive particles, More specifically, the control sequence may include at least a portion of a control array. The plurality of oriented shaped abrasive particles can include all of the first type of shaped abrasive particles. In yet another embodiment, the method comprises the steps of: forming a plurality of shaped abrasive particles arranged in a controlled orientation relative to the backing; may include all of the second type of shaped abrasive particles included in the blend of abrasive particles.

[0197] FIG. 7 includes a top view of a portion of a coated abrasive article that includes shaped abrasive particles having a controlled orientation. As shown, the coated abrasive article 700 includes a backing 701 extending along its length. A longitudinal axis 780 that defines the width of the backing 701 and a In one embodiment, the backing 701 may be defined by a lateral axis 781. According to the present invention, the shaped abrasive particles 702 are aligned in a specific direction relative to the lateral axis 781 of the backing 701. a first lateral position relative to the longitudinal axis 780 of the backing 701; The shaped abrasive grains may be positioned at a first predetermined location 712 defined by: The child 703 has a second lateral position relative to the lateral axis 781 of the backing 701 and A first longitudinal position (first position of the shaped abrasive particle 702) relative to the longitudinal axis 780 of the shaped abrasive particle 702 a second predetermined position 713 defined by a first predetermined position 714 (which is substantially the same as the longitudinal position) Notably, the shaped abrasive particles 702 and 703 may be positioned on the sides of the backing 701. Two adjacent shaped abrasive grains when measured along a transverse plane 784 parallel to the directional axis 781 The lateral gap 721 is defined as the minimum distance between the elements 702 and 703. According to one embodiment, the lateral gaps 721 are spaced apart from the shaped abrasive particles 702 and 70 3, it only needs to be greater than zero so that there is some distance between them. Although not shown, the lateral gaps 721 provide contact between portions of adjacent shaped abrasive particles and also It will be appreciated that may be zero to allow for overlap.

[0198] As further shown, the coated abrasive article 700 is aligned along a longitudinal axis 780 of the backing 701. 7, and further defined by a second longitudinal position relative to the lateral axis 78 of the backing 701. a third lateral position relative to the lateral plane 785 that is parallel to the first lateral position and spaced apart from the lateral axis 784; The shaped abrasive particles 704 are positioned at a third predetermined location 714 defined by a Additionally, as shown, there may be longitudinal gaps between the shaped abrasive particles 702 and 704. 723 may be present, the gap being measured in a direction parallel to the longitudinal axis 780. may be defined as the minimum distance between two adjacent shaped abrasive particles 702 and 704. According to an embodiment, the longitudinal gap 723 may be greater than zero. However, adjacent shaped abrasive particles do not contact or even overlap each other. It will be appreciated that the longitudinal gap 723 may be zero.

[0199] FIG. 8A includes a top view of a portion of an abrasive article including shaped abrasive particles according to an embodiment. As shown, the abrasive article 800 has a lateral axis 781 that defines the width of the backing 801. A molded abrasive covering the backing 801 at a first position having a first rotational orientation with respect to the In particular, the shaped abrasive particles 802 may be oriented parallel to the lateral axis 781. defined by a first rotation angle between the lateral surface 884 and a dimension of the shaped abrasive particle 802; It should be noted that the present invention does not limit the size of the shaped abrasive particles 802. References in the specification include references to shafts 831 separating shaped abrasive particles 802, Such a split shaft 831 is connected (directly or indirectly) to the backing 801 by a surface ( 8. Extending through the center point 821 of the shaped abrasive particle 802 along the Thus, in the context of shaped abrasive particles arranged in a side orientation (see FIG. 6 ), The dividing axis 831 passes through the center point 821 and is located on the side 83 closest to the surface of the backing 801. 3 may extend in a width (w) direction.

[0200] In one particular embodiment, the predetermined rotational orientation of the shaped abrasive particles 802 is transverse to the severance axis 831. directional planes 884 (all of which extend through center point 821 when viewed from above in FIG. 8A ) The rotation angle 841 may be determined by determining the minimum angle between the Accordingly, the predetermined rotation angle 841, and therefore the predetermined rotation orientation, may be 0°. In this embodiment, the predetermined rotation angle that determines the predetermined rotational orientation may be larger, e.g. For example, at least about 2°, at least about 5°, at least about 10°, at least about 15° , at least about 20°, at least about 25°, at least about 30°, at least about 35° , at least about 40°, at least about 45°, at least about 50°, at least about 55° , at least about 60°, at least about 70°, at least about 80°, or even less. The rotation angle 841 may be at least about 85°. is about 90° or less, for example, about 85° or less, about 80° or less, about 75° or less, about 70° or less , about 65° or less, about 60° or less, for example, about 55° or less, about 50° or less, about 45° or less, About 40° or less, about 35° or less, about 30° or less, about 25° or less, about 20° or less, for example, about It may be 15° or less, about 10° or less, or even about 5° or less. It will be understood that the angle may be within a range between any of the minimum and maximum angles stated above.

[0201] FIG. 8B illustrates an example of an abrasive article 800 that includes shaped abrasive particles 802 having triangular two-dimensional shapes. The shaped abrasive particles having the triangular two-dimensional shape mentioned are merely exemplary. Any shaped abrasive particle having any of the shapes of the embodiments herein may be formed into a triangular shape as shown in FIG. 8B. It will be appreciated that shaped abrasive particles may be used instead. Article 800 has shaped abrasive particles 802 aligned along a lateral axis 781 that defines the width of the backing 801. 812 overlaps the backing 801 at a first position 812 to include a first rotational orientation One particular embodiment of the predetermined orientation of the shaped abrasive particles may include shaped abrasive particles 802 that are As shown, it can be described with reference to three dimensional axes x, y, and z. For example, The predetermined longitudinal orientation of the abrasive particles 802 is parallel to the longitudinal axis 780 of the backing 801. This can be described with reference to the position of the shaped abrasive particles 802 relative to an extending y-axis. Further, the predetermined lateral orientation of the shaped abrasive particles 802 is aligned with the lateral axis 781 of the backing 801. This can be described with reference to the position of the shaped abrasive particles on the x-axis, which extends parallel to the Furthermore, the predetermined rotation direction of the shaped abrasive particle 802 is such that the center of the side 833 of the shaped abrasive particle 802 The shaping may be defined with respect to a disruption axis 831 extending through the point 821. The sides 833 of the abrasive particles 802 may be directly or indirectly connected to the backing 801. In a specific embodiment, the disruption axis 831 extends parallel to the lateral axis 781, e.g., x The predetermined rotational orientation of the shaped abrasive particles 802 may be at an angle to any suitable reference axis, including the can be described as the rotation angle formed between the x-axis and the segmentation axis 831, and this rotation The corner is shown in FIG. 8B as angle 841. Notably, multiple molded abrasives The controlled placement of particles on the backing of the abrasive article helps improve the performance of the abrasive article. We can move forward.

[0202] FIG. 9 illustrates a shaped abrasive particle having a predetermined orientation feature relative to the grinding direction, according to one embodiment. 8B includes a perspective view of a portion of an abrasive article including the molded The abrasive particles have a triangular two-dimensional shape, which is illustrative of certain characteristics of the abrasive article and is not intended to be limiting. The present invention is not limited to the shaped abrasive particles of the present invention. It will be understood that any may be used in place of the shaped abrasive particles shown in FIG. In one embodiment, the abrasive article 900 is bonded to another shaped abrasive particle 903 and / or The abrasive may include shaped abrasive particles 902 that have a predetermined orientation relative to the grinding direction 985. The cutting direction 985 is intended to move the abrasive article relative to the workpiece during a material removal operation. In a specific example, the grinding direction 985 may be a direction relative to the dimensions of the backing 901. For example, in one embodiment, the grinding direction 985 may be defined as a lateral direction of the backing. Substantially perpendicular to the adaxial axis 981 and substantially parallel to the longitudinal axis 980 of the backing 901 The predetermined orientation characteristics of the shaped abrasive particles 902 may allow the shaped abrasive particles 902 to be easily aligned with the workpiece. For example, the shaped abrasive particle 902 may have a major surface 963 that defines a first contact surface with the object. and 964, and side surfaces 965 and 966 that may extend between the major surfaces 963 and 964, respectively. The predetermined orientation characteristics of the shaped abrasive particles 902 may allow the major surfaces 963 to be subjected to a material removal operation. The shaped abrasive particles 902 are configured to come into contact with the workpiece first before other surfaces of the shaped abrasive particles 902 during operation. Such an orientation may be relative to the grinding direction 985. More specifically, the shaped abrasive particles 902 are aligned in a grinding direction 985. For example, as shown, the cutting direction may be such that the cutting direction is The vector of the direction 985 and the axis of severance 931 are substantially perpendicular to each other. Since a given rotation direction is contemplated in any range relative to the backing, the grinding direction 985 Any range of orientations of the shaped abrasive particles relative to the surface is contemplated and may be utilized.

[0203] Shaped abrasive particles 903 have one or more different predetermined orientation characteristics compared to shaped abrasive particles 902. As shown, the shaped abrasive particles 903 may each have a It may include major surfaces 991 and 992, which may be joined by side surfaces 971 and 972. As shown, the shaped abrasive particles 903 are aligned at a particular angle to the vector of the grinding direction 985. As shown, the shaped abrasive particles 903 may have axes of severance 973 that are spaced apart from each other. The grinding direction 985 is rotated so that the angle between the grinding axis 973 and the grinding direction 985 is substantially 0 degrees. 85. Thus, the predetermined orientation characteristics of the shaped abrasive particles 903 The feature is that the side surface 972 comes into contact with the workpiece before any of the other surfaces of the shaped abrasive particle 903. Such an orientation of the shaped abrasive particles 903 promotes initial contact with the grinding direction 985. can be considered as a lateral orientation relative to

[0204] Further, in one non-limiting embodiment, the abrasive article comprises a backing, a grinding direction, and / or or one or more groups of shaped abrasive particles, which may be arranged in one or more predetermined distributions relative to one another. It will be understood that the one or more groups of shaped abrasive particles may further comprise any of the groups described herein. In addition, the abrasive article of the present invention may have a predetermined orientation with respect to the grinding direction, as described in The abrasive grains may have one or more groups of shaped abrasive grains, each of which may have a different orientation relative to the grinding direction. A group of shaped abrasive particles having different predetermined orientations relative to the grinding direction. can help improve the performance of the abrasive article.

[0205] FIG. 10 includes a top view of a portion of an abrasive article according to an embodiment. The article 1000 may include a first group 1001 including a plurality of shaped abrasive particles. As shown The shaped abrasive particles are arranged relative to one another on the backing 101 to define a predetermined distribution. More specifically, the predetermined distribution may be arranged as a pattern 1023 as viewed from above. and more specifically may define a two-dimensional array of triangles. As further shown, the first group 1001 includes a predetermined macro shape covering the backing 101. 1031 may be disposed on the abrasive article 1000. According to one embodiment, the macro shape Shape 1031 may have a particular two-dimensional shape when viewed from above. Some exemplary two-dimensional shapes are: Shapes include polygons, ellipses, numbers, Greek letters, Latin letters, Russian alphabets. Arabic script, Chinese characters, complex shapes, irregular shapes, designs, any combination of these In a specific example, a group having a specific macro shape can be formed. This can help improve the performance of the abrasive article.

[0206] As further shown, the abrasive article 1000 is attached to the surfaces of the backing 101 relative to one another. The abrasive particles may include a group 1004 including a plurality of shaped abrasive particles arranged to define a predetermined distribution. Notably, the predetermined distribution includes substantially all of the 4-sided voids that define the pattern 422. The present invention may include an arrangement of a plurality of shaped abrasive particles that define a pattern of shapes. 1004 may define macrofeatures 1034 on the surface of the abrasive article 1000. In an embodiment, the macro features 1034 of the group 1004 may be, for example, a surface of the abrasive article 1000. When viewed from above, it is a polygon, more specifically, a roughly quadrilateral (diamond shape), including a two-sided shape when viewed from above. In the illustrated embodiment of FIG. 10, group 1001 is a macro of group 1004. However, other shapes may be used. In this embodiment, it is noted that a variety of different groups may be used on the surface of the abrasive article, and more specifically In practice, it will be understood that each of the different groups will have a different macro shape from each other. cormorant.

[0207] As further shown, the abrasive articles are grouped as 1001, 1002, 1003, and 1004. These may include channel regions 1021 and 1022 extending between groups 1001-1004. 24. In a specific example, channel regions 1021 and 102 4 may be substantially free of shaped abrasive particles. 024 is configured to transfer liquid between the groups 1001-1004 and to facilitate the abrasion of the abrasive article. The debris removal and grinding performance may be further improved. Furthermore, in certain embodiments, the abrasive article 1000 includes channel regions 1021 and 1024 extending between groups 1001-1004. where channel regions 1021 and 1024 are located on the surface of the abrasive article 1000. In a specific example, the channel regions 1021 and 1024 are It may represent a regular and repeating array of features extending along the surface of the abrasive article.

[0208] The fixed abrasive articles of embodiments herein can be used in a variety of material removal operations. For example, the fixed abrasive articles herein may be abraded by moving the fixed abrasive article relative to the workpiece. The fixed abrasive body can be used in a method for removing material from a workpiece. Relative motion between the workpiece and the workpiece can facilitate removal of material from the workpiece surface. Workpieces include, but are not limited to, inorganic materials, organic materials, and combinations thereof. A variety of workpieces that are not typically machined can be modified using the fixed abrasive articles of embodiments herein. In an exemplary embodiment, the workpiece may include a metal, such as a metal alloy. In one specific example, the workpiece is made of a metal or metal alloy, e.g., stainless steel. It may become essential.

[0209] According to another embodiment, the shaped abrasive particles of the embodiments herein are incorporated into a fixed abrasive article. At least one of the at least one granular material may be incorporated into the fixed abrasive article, which may help improve the performance of the fixed abrasive article. In embodiments, the coated abrasive article may include shaped abrasive particles of the embodiments herein, particularly FIG. 19 shows the specific grinding energy for the three coated abrasive articles. Specifically, FIG. 19 includes a generalized plot of cumulative material removed versus Y-axis (i.e., The initial specific grinding energy is defined at the intersection of the plot 1901 with the specific grinding energy. Plot 1901 includes a plot 1902 of the cumulative removed material. 1 to the largest value on the graph (i.e., the cumulative removed material value at the end of plot 1901). It further has a full life value defined by: Point 1901 further defines half-life point 1902, which defines the point on the curve that is half the full life value. The half-life point 1902 is given by the intersection of the dashed line on the Y-axis. The specific grinding energy value may be

[0210] FIG. 19 shows the intersection of plot 1920 with the Y-axis (i.e., specific grinding energy). The plot 1920 further includes a plot having an initial specific grinding energy. The largest value on the plot 1920 of cumulative removed material (i.e., the end of the plot 1920) The final life value is defined as the cumulative amount of material removed in the test piece. 920 further defines a half-life point 1921, which defines the point on the curve that is half the full-life value. The half-life point 1921 is given by the intersection of the dashed line on the Y-axis with the corresponding Further, the plot 1920 may have a specific grinding energy value on the plot 1920. The plot 1901, etc. may have a minimum point 1922 defined by the lowest value of energy. In a given plot, the minimum point is the intersection of the plot 1901 with the Y axis. This is the same as cutting energy.

[0211] FIG. 19 shows the intersection of plot 1930 with the Y-axis (i.e., specific grinding energy). The plot 1930 further includes a plot having an initial specific grinding energy. The largest value on the plot 1930 of cumulative removed material (i.e., the end of the plot 1930) The final life value is defined as the cumulative amount of material removed in the test piece. 930 further defines a half-life point 1931, which defines the point on the curve that is half the full-life value. The half-life point 1931 is given by the intersection of the dashed line on the Y axis, and the corresponding Further, the plot 1930 may have a specific grinding energy value on the plot 1930. The plot 1901 and the minimum point 1932 may be defined by a lowest value of energy. Unlike 1920 and 1930, plot 1930 shows that the specific grinding energy This is compared to the minimum and half-life points of plots 1901 and 1920. In the early stage defined by the minimum point 1932 and the half-life point 1931, which are lower than This may facilitate more efficient grinding.

[0212] According to one embodiment, the fixed abrasive article comprises abrasive grains, such as the shaped abrasive particles of the embodiments herein. children, where the fixed abrasive article has a half life / initial energy factor of 1 or less. The half-life / initial energy coefficient is the specific grinding energy at the half-life point of the plot, expressed as a fixed Divide by the initial specific grinding energy of the abrasive body (i.e., the point where the plot intersects the Y-axis) For example, in plot 1901 of FIG. 19, the ratio at half-life point 1902 is Since the grinding energy is larger than the initial specific grinding energy, the half-life / initial energy factor is , exceeds 1. Furthermore, in the plot 1920, the specific grinding energy at the half-life point 1921 Since the initial specific grinding energy is larger than that of plot 1920, the half life / initial energy However, the specific grinding energy at the half-life point 1931 is Since the initial specific grinding energy is significantly smaller than that of lot 1930, the half of plot 1930 The lifetime / initial energy factor is less than 1.

[0213] More specifically, the embodiments herein provide a half-life / initial energy factor of 1.2 or greater. below, for example, 1.18 or less, or 1.16 or less, or 1.14 or less, or 1.12 or less than 1.10, or less than 1.08, or less than 1.06, or less than 1.05 or less than 1.04, or less than 1.03, or less than 1.02, or less than 1.01 or less than or equal to 1.00, or less than or equal to 0.99, or less than or equal to 0.98, or less than or equal to 0.97 or less than 0.96, or less than 0.95, or less than 0.94, or less than 0.93 or less than 0.92, or less than 0.91, or less than 0.9, or less than 0.89 or less than 0.88, or less than 0.87, or less than 0.86, or less than 0.85 or less than 0.84, or less than 0.83, or less than 0.82, or less than 0.81 below, or 0.8 or less, or 0.79 or less, or 0.78 or less, or 0.77 or less , or 0.76 or less, or 0.75 or less, or 0.74 or less, or 0.73 or less , or 0.72 or less, or 0.71 or less, or 0.7 or less, or 0.69 or less, or 0.68 or less, or 0.67 or less, or 0.66 or less, or 0.65 or less, or 0.64 or less, or 0.63 or less, or 0.62 or less, or 0.61 or less, or 0.6 or less, or 0.55 or less, or even 0.5 or less. Additionally, in another embodiment, the fixed abrasive article herein (e.g., a coated abrasive article) may include product) is at least 0.01, or at least 0.1, or at least 0.15, or or at least 0.2, or at least 0.25, or at least 0.3, or less At least 0.35, or at least 0.4, or at least 0.45, or less At least 0.5, or at least 0.55, or at least 0.6, or at least 0 .65, or at least 0.7, or at least 0.75, or at least 0.8 , or a half-life / initial energy factor of at least 0.85, or at least 0.9 The half-life / initial energy factor may be within a range including any minimum and maximum values ​​set forth above. It will be understood that the half-life / initial energy factor can be further analyzed. The method may be performed by a standard material removal test provided in the examples herein.

[0214] In yet another embodiment, the fixed abrasive article comprises one or more shaped abrasives according to the embodiments herein. The grinding material may contain particles and have a specific minimum specific grinding energy according to standard material removal tests. For example, the fixed abrasive body may have a minimum specific grinding energy coefficient of at least 5%. The energy coefficient is calculated by the formula [(Ei-Em) / Ei]×100%, where E i represents the initial specific grinding energy of the fixed abrasive when it intersects with the Y axis, and Em represents the plot The specific grinding energy at the minimum point on the abrasive grain size is expressed as the specific grinding energy at the minimum point on the abrasive grain size. at least 5.5%, or at least 6%, or at least 6.5%, or at least 7%, or at least 7.5%, or at least 8%, or at least 8.5%, Or at least 9%, or at least 9.5%, or at least 10%, or less At least 10.5%, or at least 11%, or at least 11.5%, or At least 12%, or at least 12.5%, or at least 13%, or less Minimum grinding ratio of at least 13.5%, or at least 14%, or at least 14.5% In yet another embodiment, the minimum specific grinding energy factor may be 6 0% or less, or 50% or less, or 40% or less, or 30% or less, or 25% or less , or 20% or less, or 18% or less, or 15% or less. It is understood that the energy factor may range between any of the minimum and maximum values ​​of the percentages set forth above. The grinding energy at the minimum point will be the same as the initial grinding energy. Such samples (e.g. plot 1901) have a minimum specific grinding energy coefficient value of 0%. It will be understood that there is.

[0215] The present invention has specific characteristics of minimum specific grinding energy coefficient and half life / initial energy coefficient. The fixed abrasive articles of the embodiments described herein may have any of the features described in other embodiments herein. It may include any one or a combination thereof. EXAMPLES

[0216] Example 1 Six shaped abrasive particle samples were prepared and tested for performance comparison. Sample 1 Sample S1 was first prepared from a mixture containing approximately 45-50 wt% boehmite. Boehmite was obtained from Sasol Corp as Catapal B and Autoclaving a 30% by weight mixture of atapal B with deionized water and nitric acid The ratio of nitric acid to boehmite was modified in the autoclave and in the 5 When treated at 100°C to 250°C for a period ranging from 10 minutes to 24 hours, the The autoclaved Catapal B sol was dried by conventional means. An alternative base is available commercially as Disperal from Sasol Corp. Boehmite may be used. The boehmite is mixed with 1% alpha alumina based on the total alumina content of the mixture. The alpha alumina seeds were mixed with alpha alumina seeds and sprinkled. The material was produced by milling corundum using the conventional technique described in No. 4. The mixture contains 45-50% by weight water and 2.5-7% by weight cellulose depending on the desired viscosity of the mixture. % by weight of additional nitric acid was included and these were used to form the gel mixture. The ingredients are mixed in a planetary mixer of conventional design to remove gaseous elements (e.g., air bubbles) from the mixture. Mix under reduced pressure to remove.

[0217] After gelling, the mixture was manually placed into an opening in a stainless steel production tool. The opening of the production tool is formed such that the opening passage extends through the entire thickness of the production tool. The tool was open on both sides. The holes or openings in the production tool were used to insert the particles provided herein. All samples were prepared in a stainless steel production fixture. The surface of the opening of the production jig was coated with olive oil lubricant. The gel can be easily removed from the production tool. The abrasive particles were then placed in the opening and allowed to dry at room temperature for at least 12 hours. The precursor was removed from the screen and sintered at 1250-1400° C. for approximately 10 minutes.

[0218] The shaped abrasive particles of sample S1 have a two-dimensional shape of an equilateral triangle as shown in the image of FIG. shape and averaged 1400 microns in width and approximately 300 microns in height. The body is formed essentially from a seed sol-gel alumina material having an average grain size of less than 1 micron. The molded abrasive particles of sample S1 had an average strength of approximately 847 MPa and an average tip strength of approximately 1.2 mm. The edge sharpness is approximately 20 microns, the shape index is approximately 0.5, and the 3SF is approximately It was 1.7.

[0219] A second sample, sample S2, was used to form the shaped abrasive particles of sample S1. Sample S2 was formed using the same process as that used in the embodiment of the present specification. The present invention has a two-dimensional shape shown in the image of FIG. 21, including a body having a partially concave shape due to the The bodies contained shaped abrasive particles having an average width of 1500 microns and a height of 1.5 mm. The main body was made of seed sol-gel alumina with an average grain size of less than 1 micron. The shaped abrasive particles of sample S2 were essentially made of mina material. The average tip sharpness is about 20 microns, and the shape index is about 0.35, and 3SF was approximately 0.8.

[0220] The third sample, sample S3, which may represent conventional shaped abrasive particles, was The shaped abrasive particles were formed using the same process used to form the shaped abrasive particles of Puru S1. Sample S3 has a two-dimensional structure that is a generally concave triangle, as shown in the image in FIG. The body includes a shaped abrasive particle having an average particle size of less than 1 micron. The body was formed essentially of gel alumina material. The body had an average width of 1500 microns. The shaped abrasive particles of sample S3 had an average strength of approximately 300 microns. is approximately 847 MPa, the average tip sharpness is 20 microns, and the shape index is approximately 0.38, and 3SF was approximately 1.0.

[0221] The fourth sample, sample CS4, was obtained from 3M Corporation using 3M98 The abrasive particles were conventional shaped abrasive particles available commercially as 4F. The bodies had an average width of 1400 mm. The shaped abrasive particles of sample CS4 were approximately 300 microns in height. , having a rare earth doped alpha alumina composition and an average tip sharpness of approximately 20 mm. It is a 3SF was approximately 1.2. FIG. 23 includes images of shaped abrasive particles of sample CS4.

[0222] A fifth sample, sample S5, was used to form the shaped abrasive particles of sample S1. Sample S5 was fabricated using the same process as that used in the embodiments of this specification. The present invention has a two-dimensional shape shown in the image of FIG. 24, including a body having a partially concave shape due to the The bodies contained shaped abrasive particles having an average width of 1500 microns and a height of 1.5 mm. The main body was a seed sol-gel alumina with an average grain size of less than 1 micron. The shaped abrasive particles of sample S5 were essentially made of mina material. The average tip sharpness is about 20 microns, and the shape index is about 0.43, and 3SF was approximately 1.25.

[0223] The sixth sample, sample S6, had a molding having an approximately arrowhead shape as shown in FIG. The shaped abrasive particles of sample S6 were approximately triangular shaped abrasive grains. The openings in the production fixture were not completely filled because they were supplied from a group of children. This grain represents the grain size when the shaped abrasive particle shown in Fig. 1 was produced. The bodies were generally formed from gel provided, but not manually formed. The bodies were average The width of the shell was 1500 microns and the height was approximately 330 microns. The sump was formed essentially from a seed sol-gel alumina material with an average particle size less than 100 nm. The average strength of the molded abrasive particles of S6 is estimated to be approximately 847 MPa based on the microstructure. The average tip sharpness is approximately 20 microns, the shape index is approximately 0.42, and the 3SF was approximately 1.2. Note that sample S6 was tested in two different side orientations. In the first side orientation ("Side C"), the curved, sloping side section of the side is In the second side orientation ("Side S"), the linear surface area of ​​the side was Between them was the leading edge of the external corner during the grinding test.

[0224] All samples were tested by single grain grinding test (SGGT) in main face orientation and side orientation. In performing SGGT, a single molded abrasive particle was attached to the grit holder by an epoxy bonding material. The shaped abrasive particles are fixed in the desired orientation (i.e., main surface orientation or side orientation). , 8 in., using a wheel speed of 22 m / s and an initial scratch depth of 30 microns. The shaped abrasive particles were moved over a 304 stainless steel workpiece with a scratch length of This creates a groove in the workpiece with a cross-sectional area (AR). Each molded abrasive particle was passed 15 times over an 8 inch length, with 10 individual particles for each orientation. The test is carried out on the workpiece in the direction parallel to the surface and in the groove direction, and the results are analyzed. The tangential force exerted by the sand grain on the workpiece was measured, and the groove from the beginning to the end of the scratch length was measured. The wear of the shaped abrasive particles is determined by measuring the net change in the cross-sectional area of ​​the groove with each pass. For SGGT, the net change in cross-sectional area of ​​the groove may be measured below the surface. The performance is defined as the difference between the cross-sectional area of ​​the groove and the cross-sectional area of ​​the material displaced above the surface. Ft / A) is defined as the ratio of the tangential force to the net cross-sectional area of ​​the groove.

[0225] SGGT is performed using shaped abrasive particles with two different orientations relative to the workpiece. GT is the first shaped abrasive particle sample set with a major surface orientation (i.e., “front” in FIG. 9 ). where the major surface of each shaped abrasive particle is aligned so that the major surface begins to abrade the workpiece. The shaped abrasive particles are oriented perpendicular to the grinding direction, as shown in Figure 1. The results of SGGT using the sintered abrasive made it possible to measure the grinding efficiency of the shaped abrasive particles with the main surface orientation. become.

[0226] The SGGT was placed in a second shaped abrasive particle sample cell with a side orientation (i.e., "side" in FIG. 9). The abrasive particles are then ground into the workpiece by grinding the workpiece with the lateral surface of each shaped abrasive particle. The shaped abrasive grain sample set is oriented perpendicular to the grinding direction so that the grains are aligned parallel to the grinding direction. The results of the SGGT using the sintered abrasive enabled the measurement of the grinding efficiency of side-oriented shaped abrasive particles. do.

[0227] Figure 26 contains a plot of the median force per total area removed from the workpiece. which represents the data derived by SGGT for all of the samples. The median impact force was measured for the front (i.e., main surface orientation) and side (i.e., side surface orientation) The force per total area removed is the abrasive efficiency of the shaped abrasive particles. is a measure of the force required to remove a material; the less force per unit area removed, the more efficient the abrasive ability. As shown, sample S2 is the best of all the samples tested. Without wishing to be bound by any particular theory, the molding of sample S2 The combination of strength, tip sharpness, and shape index of the abrasive particles was superior to all other samples. Note that the results are excellent. Unexpectedly, and very surprisingly, the sample The grinding efficiency of sample S2 was improved by 15% compared to the shaped abrasive particles of sample CS4, and the grinding efficiency of sample S The grinding efficiency was improved by 40% compared with the molded abrasive particles of sample S3, and the molded abrasive particles of sample S1 This represents an improvement of nearly 60% compared to

[0228] Example 2 Abrasive particles having the shape and microstructure outlined in samples S1 and S2 were added to the gel mixture. Formed using a machine that includes a die for extrusion through an opening in a production fixture that moves beneath the die These grains were used to study the crystal structures outlined below and denoted as CAS1 and CAS2, respectively. Abrasive coated samples were prepared having the composition shown in Table 1. The comparative belt is sold and designated CACS4. Samples CAS1 and CAS2 are Each ream had the same construction as shown below. It was supplied with a 47 lb. finished cloth paper backing. The phenol formaldehyde resin-containing make-up formulations provided in Table 4 were then applied. The electrostatic deposition process was used to perform the same procedure as outlined for samples S1 or S2. 41 pounds of abrasive particles per ream having substantially the same shape and microstructure were The structure was dried in an oven at 80°C for 2 hours. It is understood that the coating was prepared so that the total of the components shown in Table 4 was 100%. It will be possible.

[0229] [Table 4]

[0230] The coated abrasive structure was then coated with a size coat having the formulation shown in Table 5. The structure was heat treated in a furnace with a final soaking temperature of 100-120°C. The sample was allowed to stand for approximately 20-30 minutes. The size coat was a mixture of the components shown in Table 5. It will be understood that the total was made to equal 100%.

[0231] [Table 5]

[0232] The coated abrasive samples were then placed in an oven and subjected to a heat treatment. The oven temperature was Set the final soak temperature to 110-120°C and keep the sample there for approximately 10-12 hours. I held it.

[0233] A supersize coat having the formulation shown in Table 6 below was then applied using Sample CAS 1 and CAS2 and processed in the same manner as the size coat. It will be understood that the total of the components shown in Table 6 was 100%. Wax.

[0234] [Table 6]

[0235] Three different coated abrasive samples, CACS4, CAS1, and CAS2, are shown in Table The samples were tested using standard grinding tests using the conditions outlined in 7. It is noteworthy that in each case In total, two sample coated abrasives were tested and the results obtained.

[0236] [Table 7]

[0237] FIG. 27 shows the specific grinding energy versus (4 inch 3 / min inches The plot includes a cumulative material removal rate plot for the abrasive particles of sample S2. It is noteworthy that the coated abrasives used had a significantly lower specific grinding energy in the early stages of the grinding test. This is remarkable and very surprising. CAS2 is The specific grinding energy is significantly lower than that of CACS4 and CAS1. Specifically, CAS2 has a minimum specific grinding energy coefficient of approximately 6% and The half-life initial energy coefficient was 1.05. Sample CACS4 had a minimum specific resistance of 0%. The cutting energy coefficient and half-life initial energy coefficient were approximately 1.1. AS1 has a minimum specific grinding energy coefficient of 0% and a half-life initial energy of approximately 1.2. The coefficients are shown.

[0238] This application represents a departure from the state of the art. Conventional shaped abrasive particles have previously been used to produce the sharpest possible The focus was on creating triangular grains with convenient corners and edges. However, through experimental studies of shaped abrasive particles with various shapes and microstructures, Grain properties (e.g., tip sharpness, strength, and shape index) appear to be interrelated; Controlling these relative to one another can result in improved performance of the shaped abrasive particles. Moreover, as shown herein, height may also be relevant. Of note, in this application, it is not necessary to create shaped abrasive particles with the sharpest characteristics. Alternatively, the grain characteristics, including tip sharpness, strength, shape index, and height, may be evaluated. By controlling one or more of the combinations relative to each other, they outperform conventional shaped abrasive particles. It should be noted that the grinding performance of the shaped abrasive particles can be improved by adding The shape index determines the overall shape of the body and how stresses are distributed across the body during grinding. When combined with a suitable tip sharpness and strength, a sharp tip can be defined. It is noted that this can provide improved results over conventional triangular shaped shaped abrasive particles having Furthermore, it is not fully understood and we do not wish to be bound by any particular theory. However, any one or combination of these features of the embodiments described herein may be The remarkable and unexpected behavior of these particles in fixed abrasive bodies, such as coated abrasives and bonded abrasive bodies, has been This is believed to promote the performance of

[0239] Certain features are described herein in the context of separate embodiments, for clarity. may also be provided in combination in a single embodiment. Conversely, for the sake of brevity Various features that are described in the context of a single embodiment may also be provided separately. Further, any subcombination of the values ​​stated in the ranges may be provided. A reference includes every value within that range.

[0240] Benefits, other advantages, and solutions to problems have been described above with regard to specific embodiments. However, benefits, advantages, and solutions to problems, as well as any benefits, advantages, and and any features (or features) that may provide a solution or make them more prominent. A feature that is essential, necessary, or indispensable to any or all of the claims is is not considered a required feature.

[0241] The detailed description and illustrations of the embodiments set forth herein are provided to provide a general understanding of the structure of the various embodiments. The detailed description and illustrations are intended to provide a solution to the problems described herein. It serves as an exhaustive and comprehensive description of all of the elements and features of the devices and systems used. It is not intended that separate embodiments be combined in a single embodiment. Alternatively, the embodiments may be provided in the context of a single embodiment, and conversely, for brevity, The various features described may be provided separately or in any subcombination. In particular, references to values ​​stated in ranges include every value within that range. Embodiments may become apparent to those of ordinary skill in the art upon reading this specification. It is possible to use and derive from this disclosure, resulting in structural permutations, logical Substitutions, changes or other modifications may be made without departing from the scope of the present disclosure. As such, this disclosure is to be regarded as illustrative rather than restrictive.

[0242] The description in combination with the drawings is provided to aid in the understanding of the teachings disclosed herein. The following discussion focuses on specific implementations and embodiments of the present teachings. are provided to aid in the explanation of the present teachings and are not intended to limit the scope or applicability of the present teachings. However, other teachings may be used herein. It is also certain.

[0243] As used herein, the terms "comprise" and "comprising" "include", "including", "has ", or any other variation thereof, may be applied to a non-exclusive inclusive scope. For example, a method, article, or apparatus that includes a list of features does not necessarily qualify as a claim of conformity with those features. The present invention is not limited to the characteristics, features, or methods, articles, or It may also include other features that are not inherent to the device. "is" refers to an inclusive or, not an exclusive or. For example, if condition A or or B is satisfied by any of the following: A is true (i.e. exists) and B is false (i.e. does not exist), A is false (i.e. does not exist) and B is true (i.e. exists), and both A and B are true (i.e. exist) .

[0244] Additionally, the use of "a" or "an" refers to any of the terms described herein. Elements and components are used to describe the invention. This is done merely for convenience and is not intended to be limiting. This description is intended to provide a general sense of the range of is to be read as including, unless it clearly means otherwise. The singular includes the plural and vice versa. For example, Where applicable, more than one item may be substituted for a single item. Where more than one item is listed herein, a single item may be substituted for more than one item. This may also be done.

[0245] Unless otherwise defined, all technical and scientific terms used herein are intended to be understood as meaning the invention. The terms have the same meaning as commonly understood by those skilled in the art to which they pertain. Materials and Methods The examples are illustrative only and are not intended to be limiting. To the extent not specified, many details regarding specific materials and processing operations are provided in accordance with conventional practice. in reference documents and in other sources within the field of construction and the corresponding manufacturing field. It can be found.

[0246] The subject matter described above is intended to be illustrative and not limiting, and the appended claims are incorporated herein by reference in their entirety. The claims are intended to include all such modifications, enhancements, and other embodiments. These are within the true scope of the present invention and therefore to the fullest extent permitted by law. The scope of the present invention shall be limited to the maximum allowable range of the following claims and their equivalents. The present invention is to be broadly interpreted and is not to be limited or restricted by the above detailed description. .

[0247] The Abstract of the Disclosure is provided pursuant to patent law and is intended to be used for interpreting the claims or It is submitted with the understanding that it will not be used to limit its scope or meaning. In addition, in the foregoing detailed description of the drawings, various features have been simplified for the purposes of streamlining the disclosure. The disclosure may be incorporated herein by reference in its entirety or in its entirety. It is understood that a claimed embodiment requires more features than are expressly recited in each claim. Rather, as the following claims indicate, Inventive subject matter may encompass less than all features of any of the disclosed embodiments. Accordingly, the following claims may be incorporated into the Detailed Description of the Drawings. Rarely, each claim stands on its own as defining separately claimed subject matter.

[0248] item: Item 1. A shaped abrasive particle having a first major surface, a second major surface, and a first major surface and a second major surface. and a side extending between the first and second major surfaces, the body having a thickness of about 0.7 to about 1.7 mm. and a sharpness-shape-strength factor (3SF) in the range of at least about 0.01 to about 0.47 Shaped abrasive particles having a shape index within the following ranges:

[0249] Item 2. A shaped abrasive particle having a first major surface, a second major surface, and a first major surface and a second major surface. and a side extending between the two major surfaces, the body having a thickness of at least about 0.05 mm. A shape index in the range of 1 to about 0.47 or less, and a pressure of at least about 350 MPa to about 1500 M 4. A shaped abrasive particle having a strength in the range of 0.1 Pa or less.

[0250] Item 3. A shaped abrasive particle having a first major surface, a second major surface, and a first major surface and a second major surface. and a side extending between the first and second major surfaces, the body having a thickness of about 80 microns or less. to at least about 1 micron, and an average tip sharpness in the range of at least about 0.01 to about 0. 47 or less, and the body has a shape index in the range of at least about 350 MPa to about 1500 M Molded abrasive particles having a strength of less than 1 Pa.

[0251] Item 4. A shaped abrasive particle having a first major surface, a second major surface, and a first major surface and a second major surface. a first portion of the side surface extending between the first and second major surfaces of the body; A shaped abrasive particle having a concave shape.

[0252] Item 5. A shaped abrasive particle having a first major surface, a second major surface, and a first major surface and a second major surface. a side surface extending between the first and second major surfaces, a first portion of the side surface being in contact with the first and second major surfaces of the body; The first portion of the side surface extends between the first and second corners of the adjacent bodies and has a first straight edge. The shaped abrasive particle includes a first curved section adjacent to a line section.

[0253] Item 6. A shaped abrasive particle having a first major surface, a second major surface, and a first major surface and a second major surface. a first portion of the side surface extending between the first and second major surfaces; a first curved section adjoining the straight section and defining an inside corner defining an obtuse angle; abrasive particles.

[0254] Item 7. A shaped abrasive particle having a first major surface, a second major surface, and a first major surface and a second major surface. and a side extending between two major surfaces, the body being substantially oriented at a 180° angle. The hybrid further includes a first portion of a side having a first curved section and a sum of the corners. The lid is a polygonal shaped abrasive particle.

[0255] Item 8. A shaped abrasive particle having a first major surface, a second major surface, and a first major surface and a second major surface. a first arm of the body having a first major surface and a side extending between the first and second major surfaces of the body; a first maximum tip width (Wt1) that defines a maximum width of the first maximum tip width (Wt1 ) is spaced apart from the first end of the first arm and is located between the midpoint of the body and the first end. 2. The shaped abrasive particles disposed between the

[0256] Item 9. The body has a shape index in the range of at least about 0.01 to about 0.47. 9. The shaped abrasive particles according to any one of items 4, 5, 6, 7, and 8.

[0257] Item 10. The body has a molecular weight of at least about 0.02, at least about 0.03, at least about 0. 04, at least about 0.05, at least about 0.06, at least about 0.07, at least at least about 0.08, at least about 0.09, at least about 0.10, at least about 0.11, At least about 0.12, at least about 0.13, at least about 0.14, at least about 0 .15, at least about 0.16, at least about 0.17, at least about 0.18, or less At least about 0.19, at least about 0.20, at least about 0.21, at least about 0.22 , at least about 0.23, at least about 0.24, at least about 0.25, at least about 0.26, at least about 0.27, at least about 0.28, at least about 0.29, at least at least about 0.30, at least about 0.31, at least about 0.32, at least about 0.3 3, at least about 0.34, at least about 0.35, at least about 0.36, at least About 0.37, at least about 0.38, at least about 0.39, at least about 0.40, at least about 0.41, at least about 0.42, at least about 0.43, at least about 0. 44, items 1, 2, having a shape index of at least about 0.45, at least about 0.46; 3. The shaped abrasive particle according to any one of claims 3 and 9.

[0258] Item 11. The main body is approximately 0.46 or less, approximately 0.45 or less, approximately 0.44 or less, approximately 0.43 or less. Lower, about 0.42 or less, about 0.41 or less, about 0.40 or less, about 0.39 or less, about 0.38 or less Lower, about 0.37 or less, about 0.36 or less, about 0.35 or less, about 0.34 or less, about 0.33 or less Lower, about 0.32 or less, about 0.31 or less, about 0.30 or less, about 0.29 or less, about 0.28 or less Lower, about 0.27 or less, about 0.26 or less, about 0.25 or less, about 0.24 or less, about 0.23 or less Lower, about 0.22 or less, about 0.21 or less, about 0.20 or less, about 0.19 or less, about 0.18 or less Lower, about 0.17 or less, about 0.16 or less, about 0.15 or less, about 0.14 or less, about 0.13 or less Lower, about 0.12 or less, about 0.11 or less, about 0.10 or less, about 0.09 or less, about 0.08 or less Lower, with a shape index of about 0.07 or less, about 0.06 or less, about 0.05 or less, about 0.04 or less 10. The shaped abrasive particle of any one of items 1, 2, 3, and 9.

[0259] Item 12. The body has a sharpness-shape-strength factor (3SF) within the range of about 0.7 to about 1.7. 9. The shaped abrasive particle of any one of items 2, 3, 4, 5, 6, 7, and 8, having

[0260] Item 13. The body has a viscosity of at least about 0.72, at least about 0.75, at least about 0. 78, at least about 0.8, at least about 0.82, at least about 0.85, at least About 0.88, at least about 0.90, at least about 0.92, at least about 0.95, 13. The polishing powder according to any one of items 1 and 12, having a 3SF of at least about 0.98. polishing particles.

[0261] Item 14. Body: Approx. 1.68 or less, Approx. 1.65 or less, Approx. 1.62 or less, Approx. 1.6 or less , about 1.58 or less, about 1.55 or less, about 1.52 or less, about 1.5 or less, about 1.48 or less, About 1.45 or less, about 1.42 or less, about 1.4 or less, about 1.38 or less, about 1.35 or less, about 1.32 or less, about 1.3 or less, about 1.28 or less, about 1.25 or less, about 1.22 or less, about 1 3SF: 0.2 or less, approximately 1.18 or less, approximately 1.15 or less, approximately 1.12 or less, and approximately 1.1 or less 13. The shaped abrasive particle of any one of items 1 and 12, having

[0262] Item 15. The body has a strength within the range of at least about 350 MPa to about 1500 MPa. 9. The shaped abrasive particle of any one of items 1, 4, 5, 6, 7, and 8, having the following structure:

[0263] Item 16. The main body is approximately 1490MPa or less, approximately 1480MPa or less, approximately 1470MPa Below, about 1460MPa or less, about 1450MPa or less, about 1440MPa or less, about 143 0MPa or less, approximately 1420MPa or less, approximately 1410MPa or less, approximately 1400MPa or less, Approx. 1390MPa or less, Approx. 1380MPa or less, Approx. 1370MPa or less, Approx. 1360MP a or less, approximately 1350MPa or less, approximately 1340MPa or less, approximately 1330MPa or less, approximately 13 20MPa or less, approximately 1310MPa or less, approximately 1300MPa or less, approximately 1290MPa or less , approx. 1280MPa or less, approx. 1270MPa or less, approx. 1260MPa or less, approx. 1250M Pa or less, about 1240MPa or less, about 1230MPa or less, about 1220MPa or less, about 1 210MPa or less, approximately 1200MPa or less, approximately 1190MPa or less, approximately 1180MPa or less Lower, approx. 1170MPa or less, approx. 1160MPa or less, approx. 1150MPa or less, approx. 1140 MPa or less, approx. 1130MPa or less, approx. 1120MPa or less, approx. 1110MPa or less, approx. 1100MPa or less, approximately 1090MPa or less, approximately 1080MPa or less, approximately 1070MPa Below, about 1060MPa or less, about 1050MPa or less, about 1040MPa or less, about 103 0MPa or less, approximately 1020MPa or less, approximately 1010MPa or less, approximately 1000MPa or less, Approx. 990MPa or less, approx. 980MPa or less, approx. 970MPa or less, approx. 960MPa or less, Approx. 950MPa or less, approx. 940MPa or less, approx. 930MPa or less, approx. 920MPa or less, Approx. 910MPa or less, approx. 900MPa or less, approx. 890MPa or less, approx. 880MPa or less, Approximately 870MPa or less, Approximately 860MPa or less, Approximately 850MPa or less, Approximately 840MPa or less, Approx. 830MPa or less, Approx. 820MPa or less, Approx. 810MPa or less, Approx. 800MPa or less, Approx. 790MPa or less, approx. 780MPa or less, approx. 770MPa or less, approx. 760MPa or less, Approx. 750MPa or less, approx. 740MPa or less, approx. 730MPa or less, approx. 720MPa or less, Approx. 710MPa or less, approx. 700MPa or less, approx. 690MPa or less, approx. 680MPa or less, Approx. 670MPa or less, approx. 660MPa or less, approx. 650MPa or less, approx. 640MPa or less, Approx. 630MPa or less, approx. 620MPa or less, approx. 610MPa or less, approx. 600MPa or less, Approx. 590MPa or less, approx. 580MPa or less, approx. 570MPa or less, approx. 560MPa or less, Approx. 550MPa or less, approx. 540MPa or less, approx. 530MPa or less, approx. 520MPa or less, Approx. 510MPa or less, approx. 500MPa or less, approx. 490MPa or less, approx. 480MPa or less, Approx. 470MPa or less, approx. 460MPa or less, approx. 450MPa or less, approx. 440MPa or less, Approximately 430MPa or less, approximately 420MPa or less, approximately 410MPa or less, approximately 400MPa or less 16. The shaped abrasive particle of any one of items 3, 4, and 15, having strength.

[0264] Item 17. The body has a mechanical strength of at least about 360 MPa, at least about 370 MPa, at least at least about 380 MPa, at least about 390 MPa, at least about 400 MPa, at least about 410 MPa, at least about 420 MPa, at least about 430 MPa, at least about 440 MPa, at least about 450 MPa, at least about 460 MPa, at least about 4 70 MPa, at least about 480 MPa, at least about 490 MPa, at least about 50 0 MPa, at least about 510 MPa, at least about 520 MPa, at least about 530 MPa, at least about 540 MPa, at least about 550 MPa, at least about 560 MPa Pa, at least about 570 MPa, at least about 580 MPa, at least about 590 MPa a, at least about 600 MPa, at least about 610 MPa, at least about 620 MPa , at least about 630 MPa, at least about 640 MPa, at least about 650 MPa, At least about 660 MPa, at least about 670 MPa, at least about 680 MPa, At least about 690 MPa, at least about 700 MPa, at least about 710 MPa, at least at least about 720 MPa, at least about 730 MPa, at least about 740 MPa, At least about 750 MPa, at least about 760 MPa, at least about 770 MPa, at least at least about 780 MPa, at least about 790 MPa, at least about 800 MPa, at least about 810 MPa, at least about 820 MPa, at least about 830 MPa, at least about 840 MPa, at least about 850 MPa, at least about 860 MPa, at least about 8 70 MPa, at least about 880 MPa, at least about 890 MPa, at least about 90 0 MPa, at least about 910 MPa, at least about 920 MPa, at least about 930 MPa, at least about 940 MPa, at least about 950 MPa, at least about 960 MPa Pa, at least about 970 MPa, at least about 980 MPa, at least about 990 MPa a, at least about 1000 MPa, at least about 1010 MPa, at least about 1020 MPa, at least about 1030 MPa, at least about 1040 MPa, at least about 10 50 MPa, at least about 1060 MPa, at least about 1070 MPa, at least about 1080 MPa, at least about 1090 MPa, at least about 1100 MPa, at least At least about 1110 MPa, at least about 1120 MPa, at least about 1130 MPa, at least about at least about 1140 MPa, at least about 1150 MPa, at least about 1160 MPa, At least about 1170 MPa, at least about 1180 MPa, at least about 1190 MPa a, at least about 1200 MPa, at least about 1210 MPa, at least about 1220 MPa, at least about 1230 MPa, at least about 1240 MPa, at least about 12 50 MPa, at least about 1260 MPa, at least about 1270 MPa, at least about 1280 MPa, at least about 1290 MPa, at least about 1300 MPa. 16. The shaped abrasive particle according to any one of items 3, 4, and 15.

[0265] Item 18. The body has a tip within a range of about 80 microns or less to at least about 1 micron. 9. The molded abrasive according to any one of items 1, 2, 4, 5, 6, 7, and 8, having sharpness. particle.

[0266] Item 19. The main body is about 78 microns or less, about 76 microns or less, about 74 microns or less, About 72 microns or less, about 70 microns or less, about 68 microns or less, about 66 microns or less, About 64 microns or less, about 62 microns or less, about 60 microns or less, about 58 microns or less, About 56 microns or less, about 54 microns or less, about 52 microns or less, about 50 microns or less, About 48 microns or less, about 46 microns or less, about 44 microns or less, about 42 microns or less, About 40 microns or less, about 38 microns or less, about 36 microns or less, about 34 microns or less, About 32 microns or less, about 30 microns or less, about 28 microns or less, about 26 microns or less, About 24 microns or less, about 22 microns or less, about 20 microns or less, about 18 microns or less, Approximately 16 microns or less, approximately 14 microns or less, approximately 12 microns or less, approximately 10 microns or less Item 19. The shaped abrasive particle of any one of items 3 and 18, having tip sharpness.

[0267] Item 20. The body is at least about 2 microns, at least about 4 microns, at least about 6 microns, at least about 8 microns, at least about 10 microns, at least about 12 microns at least about 14 microns, at least about 16 microns, at least about 18 microns at least about 20 microns, at least about 22 microns, at least about 24 microns at least about 26 microns, at least about 28 microns, at least about 30 microns , at least about 32 microns, at least about 34 microns, at least about 36 microns, At least about 38 microns, at least about 40 microns, at least about 42 microns, At least about 44 microns, at least about 46 microns, at least about 48 microns, at least At least about 50 microns, at least about 52 microns, at least about 54 microns, At least about 56 microns, at least about 58 microns, at least about 60 microns, at least about at least about 62 microns, at least about 64 microns, at least about 66 microns, 68 microns, and a tip sharpness of at least about 70 microns. 3. The shaped abrasive particle according to any one of the preceding claims.

[0268] Item 21. The body includes an additive, the additive includes an oxide, the additive includes a metal element, and the additive Additives include rare earth elements, and are classified into any one of items 1, 2, 3, 4, 5, 6, 7, and 8. 2. The shaped abrasive particle as described above.

[0269] Item 22. The additive includes a dopant material, and the dopant material is an alkali element, an aluminum Selected from the group consisting of potassium earth elements, rare earth elements, transition metal elements, and combinations thereof The dopant materials include hafnium, zirconium, niobium, tantalum, Molybdenum, vanadium, lithium, sodium, potassium, magnesium, calcium , strontium, barium, scandium, yttrium, lanthanum, cesium, platinum Theodium, Chromium, Cobalt, Iron, Germanium, Manganese, Nickel, Titanium, Zinc 22. The molding method according to claim 21, comprising an element selected from the group consisting of: Abrasive articles.

[0270] Item 23. The main body is at least about 95% by weight of the total weight of the main body, at least about 95.1% by weight %, at least about 95.2% by weight, at least about 95.3% by weight, at least about 95. 4% by weight, at least about 95.5% by weight, at least about 95.6% by weight, at least about 9 5.7% by weight, at least about 95.8% by weight, at least about 95.9% by weight, at least About 96% by weight, at least about 96.1% by weight, at least about 96.2% by weight, at least About 96.3% by weight, at least about 96.4% by weight, at least about 96.5% by weight, At least about 96.6% by weight, at least about 96.7% by weight, at least about 96.8% by weight, At least about 96.9% by weight, at least about 97% by weight, at least about 97.1% by weight, At least about 97.2% by weight, at least about 97.3% by weight, at least about 97.4% by weight , and at least about 97.5% by weight of alumina. 9. The shaped abrasive particle according to any one of claims 8 to 9.

[0271] Item 24. The main body is about 99.5% by weight or less, about 99.4% by weight or less, about 99.3% by weight or less, approximately 99.2% by weight or less, approximately 99.1% by weight or less, approximately 99% by weight or less , about 98.9% by weight or less, about 98.8% by weight or less, about 98.7% by weight or less, about 98.6% by weight 98.5% by weight or less, 98.4% by weight or less, 98.3% by weight or less, about 9 8.2% by weight or less, about 98.1% by weight or less, about 98% by weight or less, about 97.9% by weight or less, About 97.8% by weight or less, about 97.7% by weight or less, about 97.6% by weight or less, about 97.5% by weight % or less of alumina, any one of items 1, 2, 3, 4, 5, 6, 7, and 8 2. The shaped abrasive particle as described above.

[0272] Item 25. The body of items 1, 2, 3, 4, 5, 6, 7, and 8, which consists essentially of alumina 9. The shaped abrasive particle according to any one of claims 8 to 9.

[0273] Item 26. The body comprises a polycrystalline material containing crystalline grains, the average grain size being about 1 micron or less. , about 0.9 microns or less, about 0.8 microns or less, about 0.7 microns or less, about 0.6 microns or less The composition according to any one of items 1, 2, 3, 4, 5, 6, 7, and 8, shaped abrasive particles.

[0274] Item 27. The average particle size is at least about 0.01 microns, at least about 0.05 microns. at least about 0.06 microns, at least about 0.07 microns, at least about 0. 0.08 microns, at least about 0.09 microns, at least about 0.1 microns, at least At least about 0.12 microns, at least about 0.15 microns, at least about 0.17 microns 27. The shaped abrasive particles of claim 26, wherein the particle size is at least about 0.2 microns.

[0275] Item 28. The body is essentially free of binders, the body is essentially free of organic materials, and the present The body is essentially free of rare earth elements, and the body is essentially free of iron; items 1, 2, and 3; 9. The shaped abrasive particle according to any one of claims 4, 5, 6, 7, and 8.

[0276] Item 29. The body is formed from a seed sol-gel, Items 1, 2, 3, 4, 5, 6, 7 9. The shaped abrasive particle according to any one of claims 8 to 9.

[0277] Item 30. The main body has a primary aspect ratio of width:length of at least about 1:1 to about 10:1 or less. The molding polishing agent according to any one of items 1, 2, 3, 4, 5, 6, 7, and 8, having a ratio polishing particles.

[0278] Item 31. The body is a bipedal body having a width:height ratio within the range of about 5:1 to about 1:1. Any one of items 1, 2, 3, 4, 5, 6, 7, and 8 having the following aspect ratio: 2. The shaped abrasive particle as described above.

[0279] Item 32. The body has a length:height ratio in the range of about 6:1 to about 1:1. Any one of items 1, 2, 3, 4, 5, 6, 7, and 8 having a cubic aspect ratio 2. The shaped abrasive particle according to claim 1 .

[0280] Item 33. The body includes a polycrystalline material, the polycrystalline material includes grains, and the grains include Nitrides, oxides, carbides, borides, oxynitrides, diamond, and combinations thereof The grains are selected from the group of materials consisting of aluminum oxide, zirconium oxide, Titanium oxide, yttrium oxide, chromium oxide, strontium oxide, silicon oxide, and the like. and the grains include an oxide selected from the group consisting of alumina, and wherein the grains consist essentially of alumina. 9. The shaped abrasive particle according to any one of claims 8 to 9.

[0281] Item 34. The body has a two-dimensional polygonal shape when viewed in a plane defined by its length and width. However, the body has at least three outer points, at least four outer points, at least five outer points, At least 6 outer points, at least 7 outer points, at least 8 outer points, at least 9 Any of items 1, 2, 3, 4, 5, 6, 7, and 8 having a two-dimensional shape with external points 1. Molded abrasive particles according to item 1.

[0282] Item 35. The body is connected to the substrate as part of the fixed abrasive body, and the fixed abrasive article is An item selected from the group consisting of bonded abrasive articles, coated abrasive articles, and combinations thereof. 9. The shaped abrasive particle according to any one of claims 1, 2, 3, 4, 5, 6, 7, and 8.

[0283] Item 36. The substrate is a backing, the backing comprises a woven material, and the backing is a nonwoven material. the backing comprises an organic material; the backing comprises a polymer; the backing comprises a fabric material; Fabrics, Paper, Films, Fabrics, Fleece Fabrics, Vulcan Fibers, Woven Materials, Nonwoven Materials Materials, Webs, Polymers, Resins, Phenolic Resins, Phenolic-Latex Resins, Epoxies Resin, polyester resin, urea formaldehyde resin, polyester, polyurethane, The material may include a material selected from the group consisting of polypropylene, polyimide, and combinations thereof. 36. The shaped abrasive particles according to item 35.

[0284] Item 37. Backings contain catalysts, binders, hardeners, antistatic agents, suspending agents, and anti-clogging agents. The materials consist of antibacterial agents, lubricants, wetting agents, pigments, extenders, viscosity modifiers, dispersants, defoamers, and grinding agents. 37. The shaped abrasive particles of claim 36, comprising an additive selected from the group consisting of:

[0285] Item 38. The adhesive layer further comprises a make coat covering the backing. The make coat covers the backing and the make coat is bonded directly to a portion of the backing. The coating comprises an organic material, the make coating comprises a polymeric material, and the make coating comprises a polymeric material. Ester, epoxy resin, polyurethane, polyamide, polyacrylate, polymethacrylate acrylate, polyvinyl chloride, polyethylene, polysiloxane, silicone, cellulose acetate , nitrocellulose, natural rubber, starch, shellac, and combinations thereof. 37. The shaped abrasive particles of claim 36, comprising a material selected from the group consisting of:

[0286] Item 39. The adhesive layer includes a size coat, the size coat being a portion of the plurality of shaped abrasive particles. The size coat covers the make coat, and the size coat covers a portion of the plurality of shaped abrasive particles. the size coat comprises an organic material and the size coat comprises a polymeric material. , Size coat is polyester, epoxy resin, polyurethane, polyamide, polyacrylic acrylate, polymethacrylate, polyvinyl chloride, polyethylene, polysiloxane, silicone Corn, cellulose acetate, nitrocellulose, natural rubber, starch, shellac, and Item 39. The shaped abrasive particles according to item 38, comprising a material selected from the group consisting of these combinations. .

[0287] Item 40. The shaped abrasive particles are part of a plurality of first type shaped abrasive particles, the first type Most of the molded abrasive particles of this type are connected to the backing by an open coat, which is , about 70 particles / cm 2 Below, about 65 particles / cm 2 Below, approximately 60 particles / cm 2 Below, about 55 particles / cm 2 Below, about 50 particles / cm 2 At least about 5 particles / cm 2 ,at least Approximately 10 particles / cm 2 37. The shaped abrasive particles according to item 36, having a coating density of

[0288] Item 41. The shaped abrasive particles are part of a plurality of first type shaped abrasive particles, the first type Most of the molded abrasive particles in this class are bonded to the backing with a closed coat, and the backing is coated with The closed coat has a blend of shaped abrasive particles, the closed coat having at least about 75 particles / cm 2 , at least about 80 particles / cm 2 , at least about 85 particles / cm 2 , small At least about 90 particles / cm 2 , at least about 100 particles / cm 2 Coating density of 37. The shaped abrasive particles according to item 36,

[0289] Item 42. The shaped abrasive particles include a plurality of first type shaped abrasive particles and a third type abrasive particles. and the third type of abrasive particles comprises shaped abrasive particles, and the third The type of abrasive particles includes dilute abrasive particles, the dilute abrasive particles having an irregular shape. 37. The shaped abrasive particles according to item 36.

[0290] Item 43. The blend of abrasive particles includes a plurality of shaped abrasive particles, Each shaped abrasive particle is disposed in a controlled orientation relative to the backing, the controlled orientation being determined by a predetermined rotational orientation. Item 4, including at least one of a predetermined orientation, a predetermined lateral orientation, and a predetermined longitudinal orientation. 3. The shaped abrasive particle according to claim 2.

[0291] Item 44. The body has length (L), width (W), and height (h i ) and the length is greater than the width , any of items 1, 2, 3, 4, 5, 6, 7, and 8, whose length > height and whose width > height 3. The shaped abrasive particles according to claim 1 .

[0292] Item 45. The height (H) is at least about 70 microns, at least about 80 microns, e.g. For example, at least about 90 microns, at least about 100 microns, at least about 120 microns. clonal, at least about 150 microns, at least about 175 microns, at least about 20 0 microns, at least about 225 microns, at least about 250 microns, at least about 275 microns At least about 300 microns, and no more than about 3 mm, no more than about 2 mm, no more than about 1. 5mm or less, about 1mm or less, about 800 microns or less, about 600 microns or less, about 500 mm Kron or less, about 475 microns or less, about 450 microns or less, about 425 microns or less, about 400 microns or less, about 375 microns or less, about 350 microns or less, about 325 microns The term is about 300 microns or less, about 275 microns or less, or about 250 microns or less. 44. A shaped abrasive particle as described in item 44.

[0293] Item 46. The width is at least about 200 microns, at least about 250 microns, at least At least about 300 microns, at least about 350 microns, at least about 400 microns, At least about 450 microns, at least about 500 microns, at least about 550 microns , at least about 600 microns, at least about 700 microns, at least about 800 microns Long, at least about 900 microns, and no more than about 4 mm, no more than about 3 mm, no more than about 2.5 mm Item 45. The shaped abrasive particles of item 44, having a diameter of about 2 mm or less.

[0294] Item 47. The main body is approximately 40% or less, approximately 35% or less, approximately 30% or less, approximately 25% or less, approximately 2 0% or less, about 18% or less, about 15% or less, about 12% or less, about 10% or less, about 8% or less, about Items 1, 2, 3, 4, 5, and 6 have a flushing percentage of about 6% or less, about 4% or less. 9. The shaped abrasive particle according to any one of claims 7 to 8.

[0295] Item 48. Body: Approximately 2 or less, approximately 1.9 or less, approximately 1.8 or less, approximately 1.7 or less, approximately 1.6 A concave of at least about 0.9, at least about 1.0, about 1.5 or less, about 1.2 or less Any one of items 1, 2, 3, 4, 5, 6, 7, and 8 having a minimum value (d) Molded abrasive particles.

[0296] Item 49. The shaped abrasive particles are part of a plurality of first type shaped abrasive particles, and the first type Most of the shaped abrasive particles of this type are connected to the backing in a side orientation and are composed of multiple shaped abrasive particles. At least about 55%, at least about 60%, at least about 65%, or at least about 100% of the shaped abrasive particles at least about 70%, at least about 75%, at least about 77%, at least about 80%, and About 99% or less, about 95% or less, about 90% or less, about 85% or less are oriented sideways and attached to the backing The molded article according to any one of items 1, 2, 3, 4, 5, 6, 7, and 8, wherein the molded article is connected to the molded article. polishing particles.

[0297] Item 50. At least one side of the body has a partially concave shape. 9. The shaped abrasive particle according to any one of claims 3, 5, 6, 7, and 8.

[0298] Item 51. The first portion of the side surface is between the first corner and the second corner of the adjacent main body. and the first portion of the side includes a first curved section connected to a first straight section. 9. The shaped abrasive particle according to any one of claims 1, 2, 3, 4, 7, and 8.

[0299] Item 52. The first straight section has a length (Ll1) of the first straight section, and the first curved section Any one of items 4, 5, and 51, wherein the length of the first curve section (Lc1) is 4. The shaped abrasive particle according to claim 1 .

[0300] Item 53. The shaped abrasive particles according to item 52, wherein Lc1 ≧ Ll1.

[0301] Item 54. The shaped abrasive particles according to item 52, wherein Ll1 ≧ Lc1.

[0302] Item 55. About 1 or less, about 0.95 or less, about 0.9 or less, about 0.85 or less, about 0.8 or less , about 0.75 or less, about 0.7 or less, about 0.65 or less, about 0.6 or less, about 0.55 or less, about 0.5 or less, about 0.45 or less, about 0.4 or less, about 0.35 or less, about 0.3 or less, about 0.2 Length factor (L) of 5 or less, approximately 0.2 or less, approximately 0.15 or less, approximately 0.1 or less, approximately 0.05 or less 53. The shaped abrasive particle of item 52, further having a .lambda. / .lambda.l1 / Lc1.

[0303] Item 56. The length factor (Ll1 / Lc1) is at least about 0.05 and at least about 0. 56. The shaped abrasive particles according to claim 55, wherein the Mn is at least about 0.1, at least about 0.15, at least about 0.2. .

[0304] Item 57. About 1 or less, about 0.95 or less, about 0.9 or less, about 0.85 or less, about 0.8 or less , about 0.75 or less, about 0.7 or less, about 0.65 or less, about 0.6 or less, about 0.55 or less, about 0.5 or less, about 0.45 or less, about 0.4 or less, about 0.35 or less, about 0.3 or less, about 0.2 Length factor (L) of 5 or less, approximately 0.2 or less, approximately 0.15 or less, approximately 0.1 or less, approximately 0.05 or less 53. The shaped abrasive particle of item 52, further comprising:

[0305] Item 58. The length factor (Lc1 / Ll1) is at least about 0.05 and at least about 0. 58. The shaped abrasive particles according to claim 57, wherein the Mn is at least about 0.1, at least about 0.15, at least about 0.2. .

[0306] Item 59. The first portion of the side further includes a second straight section connected to the first curved section. 52. The shaped abrasive particle according to any one of items 4, 5, and 51.

[0307] Item 60. The second straight section has a length (Ll2), and Ll1 is substantially equal to Ll2. Item 59. The molded abrasive particles according to item 59.

[0308] Item 61. The shaped abrasive particles according to item 59, wherein Lc1 ≧ Ll2.

[0309] Item 62. About 1 or less, about 0.95 or less, about 0.9 or less, about 0.85 or less, about 0.8 or less , about 0.75 or less, about 0.7 or less, about 0.65 or less, about 0.6 or less, about 0.55 or less, about 0.5 or less, about 0.45 or less, about 0.4 or less, about 0.35 or less, about 0.3 or less, about 0.2 Length factor (L) of 5 or less, approximately 0.2 or less, approximately 0.15 or less, approximately 0.1 or less, approximately 0.05 or less 60. The shaped abrasive particle of item 59, further having a .lambda. / .lambda.l2 / Lc1.

[0310] Item 63. The length factor (Ll2 / Lc1) is at least about 0.05 and at least about 0. 63. The shaped abrasive particles according to claim 62, wherein the Mn is at least about 0.1, at least about 0.15, at least about 0.2. .

[0311] Item 64. About 1 or less, about 0.95 or less, about 0.9 or less, about 0.85 or less, about 0.8 or less , about 0.75 or less, about 0.7 or less, about 0.65 or less, about 0.6 or less, about 0.55 or less, about 0.5 or less, about 0.45 or less, about 0.4 or less, about 0.35 or less, about 0.3 or less, about 0.2 Length factor (L) of 5 or less, approximately 0.2 or less, approximately 0.15 or less, approximately 0.1 or less, approximately 0.05 or less 60. The shaped abrasive particle of item 59, further having:

[0312] Item 65. The length factor (Lc1 / Ll2) is at least about 0.05 and at least about 0. 59. The shaped abrasive particles according to claim 58, wherein the Mn is at least about 0.1, at least about 0.15, at least about 0.2. .

[0313] Item 66. About 1 or less, about 0.95 or less, about 0.9 or less, about 0.85 or less, about 0.8 or less , about 0.75 or less, about 0.7 or less, about 0.65 or less, about 0.6 or less, about 0.55 or less, about 0.5 or less, about 0.45 or less, about 0.4 or less, about 0.35 or less, about 0.3 or less, about 0.2 Linear sum coefficient ( 60. The shaped abrasive particle of item 59, further having (Ll1+Ll2) / Lc1).

[0314] Item 67. The linear sum coefficient ((Ll1 + Ll2) / Lc1) is at least about 0.05 and at least about 0.1, at least about 0.15, at least about 0.2, as described in Item 66. Molded abrasive particles.

[0315] Item 68. About 1 or less, about 0.95 or less, about 0.9 or less, about 0.85 or less, about 0.8 or less , about 0.75 or less, about 0.7 or less, about 0.65 or less, about 0.6 or less, about 0.55 or less, about 0.5 or less, about 0.45 or less, about 0.4 or less, about 0.35 or less, about 0.3 or less, about 0.2 Inverse linear sum coefficient of 5 or less, about 0.2 or less, about 0.15 or less, about 0.1 or less, about 0.05 or less 60. The shaped abrasive particle of item 59, further having (Lc1 / (Ll1+Ll2)).

[0316] Item 69. The inverse linear sum coefficient (Lc1 / (Ll1+Ll2)) is at least about 0.05; At least about 0.1, at least about 0.15, at least about 0.2, The shaped abrasive particles are as follows.

[0317] Item 70. The first portion of the side surface is an inside corner portion that is connected to the first straight section and defines an obtuse angle. Any one of items 1, 2, 3, 4, 5, 7, and 8, including a first curve section defining Item 11. Molded abrasive particles according to item 10.

[0318] Item 71. The obtuse angle has a value within the range of at least about 92 degrees to about 178 degrees, and the obtuse angle is , at least about 94 degrees, at least about 96 degrees, at least about 98 degrees, at least about 100 degrees degrees, at least about 102 degrees, at least about 104 degrees, at least about 106 degrees, at least About 108 degrees, at least about 110 degrees, at least about 112 degrees, at least about 124 degrees, a little At least about 126 degrees, at least about 128 degrees, at least about 120 degrees, at least about 12 2 degrees, at least about 130 degrees, at least about 132 degrees, at least about 134 degrees, at least The angle of the angle of the angle θ of items 6 and 70 is about 136 degrees, at least about 138 degrees, or at least about 140 degrees. 2. The shaped abrasive particle according to any one of claims 1 to 11.

[0319] Item 72. Obtuse angles are approximately 176 degrees or less, approximately 174 degrees or less, approximately 172 degrees or less, and approximately 170 degrees or less. Below, approximately 168 degrees or less, approximately 166 degrees or less, approximately 164 degrees or less, approximately 162 degrees or less, approximately 160 degrees or less Below, approximately 158 degrees or less, approximately 156 degrees or less, approximately 154 degrees or less, approximately 152 degrees or less, approximately 150 degrees or less Below, approximately 148 degrees or less, approximately 146 degrees or less, approximately 144 degrees or less, approximately 142 degrees or less, approximately 140 degrees or less 72. The shaped abrasive particle of item 71, wherein

[0320] Item 73. The first portion of the side surface includes a first recessed corner portion and a second recessed corner portion, and the second inside corners are spaced apart from each other at opposite ends of the first curved section, the first inside corners being The second recessed corner is disposed at an edge between the first straight section and the first curved section, and the second recessed corner is disposed at an edge between the first curved section and the first straight section. The method according to any one of items 6 and 70, wherein the second straight section is located at an edge between the first straight section and the second straight section. The shaped abrasive particles are as follows.

[0321] Item 74. The body includes a first portion of a side having a partially concave shape, 9. The shaped abrasive particle according to any one of claims 2, 3, 5, 6, 7, and 8.

[0322] Item 75. The partially concave shape is a small portion of the total length of the first part of the side (Lfp1). The first curve section having a length (Lc1) of the first curve section, 2. The shaped abrasive particle according to claim 1 .

[0323] Item 76. About 1 or less, about 0.95 or less, about 0.9 or less, about 0.85 or less, about 0.8 or less , about 0.75 or less, about 0.7 or less, about 0.65 or less, about 0.6 or less, about 0.55 or less, about 0.5 or less, about 0.45 or less, about 0.4 or less, about 0.35 or less, about 0.3 or less, about 0.2 Length factor (L) of 5 or less, approximately 0.2 or less, approximately 0.15 or less, approximately 0.1 or less, approximately 0.05 or less 76. The shaped abrasive particle of item 75, further comprising:

[0324] Item 77. The first curved section has at least two distinctly different curvatures, 74. The shaped abrasive particles according to any one of claims 1 to 74.

[0325] Item 78. The first curved section defines an arc having a single distinct curvature, as in items 4 and 7. 5. The shaped abrasive particle according to any one of claims 4 to 4.

[0326] Item 79. Any one of items 4 and 74, wherein the first curved section defines a concave shape. 4. The shaped abrasive particle according to claim 1 .

[0327] Item 80. The first curved section is disposed between the first straight section and the second straight section, The first straight section terminates at a first end at a first corner of the body and extends over a length (Ll1). extending along a first portion of the side and terminating at a second end at a first curved section; The second straight section defines a first recessed corner and terminates at a first end at a second recessed corner of the body. The first curved section is connected to the first portion of the side surface over a length (Ll2). and terminating at a second end in the second recessed corner, the second recessed corner being defined by any one of items 4 and 74. 2. The shaped abrasive particle as described above.

[0328] Item 81. The length of the first straight section (Ll1) is the total length of the first part of the side (Lfp). and the length factor (Ll1 / Lfp) is about 1 or less, about 0.95 or less, about 0 .9 or less, about 0.85 or less, about 0.8 or less, about 0.75 or less, about 0.7 or less, about 0.65 less than or equal to about 0.6, less than or equal to about 0.55, less than or equal to about 0.5, less than or equal to about 0.45, less than or equal to about 0.4, About 0.35 or less, about 0.3 or less, about 0.25 or less, about 0.2 or less, about 0.15 or less, about 0 75. The molded abrasive grain according to any one of claims 4 and 74, wherein the average particle size is not more than 0.1 and not more than about 0.05. child.

[0329] Item 82. The length of the second straight section (Ll2) is the total length of the first part of the side (Lfp). and the length factor (Ll2 / Lfp) is about 1 or less, about 0.95 or less, about 0 .9 or less, about 0.85 or less, about 0.8 or less, about 0.75 or less, about 0.7 or less, about 0.65 less than or equal to about 0.6, less than or equal to about 0.55, less than or equal to about 0.5, less than or equal to about 0.45, less than or equal to about 0.4, About 0.35 or less, about 0.3 or less, about 0.25 or less, about 0.2 or less, about 0.15 or less, about 0 75. The molded abrasive grain according to any one of claims 4 and 74, wherein the average particle size is not more than 0.1 and not more than about 0.05. child.

[0330] Item 83. The first curved section has a radius of curvature (Rc1), and the body has a width (W); The radius of curvature (Rc1) is at least half the width of the body, at least about 0.8 times the width of the body; At least 1.5 times the width of the body, at least 2 times the width of the body, radius of curvature (Rc1) 75. The shaped abrasive particle of any one of items 4 and 74, wherein the length is no more than about 50 times the width.

[0331] Item 84. The first curved section has a first end spaced from a first corner of the body. 75. The shaped abrasive particle according to any one of items 4 and 74.

[0332] Item 85. The first curved section has a second end spaced apart from the second corner of the body. 75. The shaped abrasive particle according to any one of items 4 and 74.

[0333] Item 86. Any one of items 4 and 74, wherein the body further comprises a second curved section. The shaped abrasive particle according to claim 1.

[0334] Item 87. The main body is A second portion of the side extending between the second and third corners of the adjacent bodies. The second portion of the side surface includes a second curved section connected to a third straight section. 9. The shaped abrasive particle according to any one of claims 3, 4, 5, 6, 7, and 8.

[0335] Item 88. the third portion of the side surface extends between the first and third corners of the adjacent main bodies; The third portion of the side surface includes a third curved section connected to a fifth straight section. 9. The shaped abrasive particle according to any one of claims 4, 5, 6, 7, and 8.

[0336] Item 89. The body has at least a first portion of a side having at least a first curved section. and wherein the second portion of the side is separated from the first portion of the side by at least one corner portion. the second portion includes at least a second curved section, and the third portion of the side includes at least and separated from the first portion of the side by at least one external corner portion. the third portion is separated from the second portion of the side by a third curved section; 9. The shaped abrasive particles according to any one of claims 1, 2, 3, 4, 5, 6, 7, and 8, comprising .

[0337] Item 90. The body has a sum of corners of substantially 180 degrees and has a first curved section. The first portion of a side surface of the hybrid polygon further includes a first portion of the side surface of the hybrid polygon. 9. The shaped abrasive particle according to any one of claims 1 to 8.

[0338] Item 91. The body has a first maximum tip width (Wt 1), and a first maximum tip width (Wt1) is a distance from the first end of the first arm Items 1, 2, 3, 4, 5, and 6 are disposed between the midpoint of the body and the first end portion. 8. The shaped abrasive particle according to any one of claims 6 and 7.

[0339] Item 92. The first maximum tip width (Wt1) is the maximum tip width along the axis of the first arm. The first arm defines a position of maximum tip width, the first arm extending between a distal end of the arm and a position of maximum tip width. The first tip length (Ltip1) is The total length of the first arm (Larm1), defined as the distance between the end of the and the first tip length (Ltip1) is at least about 0.01 (Larm 1), at least about 0.02 (Larm1), at least about 0.03 (Larm1), a little At least about 0.04 (Larm1), at least about 0.05 (Larm1), at least About 0.06 (Larm1), at least about 0.07 (Larm1), at least about 0.0 8 (Larm1), at least about 0.09 (Larm1), at least about 0.1 (Lar m1), at least about 0.12 (Larm1), at least about 0.15 (Larm1), At least about 0.18 (Larm1), at least about 0.2 (Larm1), at least About 0.22 (Larm1), at least about 0.25 (Larm1), at least about 0.2 8 (Larm1), at least about 0.3 (Larm1), at least about 0.32 (Lar m1), at least about 0.35 (Larm1), at least about 0.38 (Larm1), The composition according to any one of items 8 and 91, wherein the composition has a Larmin of at least about 0.4 (Larm1). shaped abrasive particles.

[0340] Item 93. The first tip length (Ltip1) is about 0.95 (Larm1) or less, about 0 .9 (Larm1) or less, approximately 0.85 (Larm1) or less, approximately 0.8 (Larm1) or less , about 0.75 (Larm1) or less, about 0.7 (Larm1) or less, about 0.65 (Larm 1) or less, about 0.6 (Larm1) or less, about 0.55 (Larm1) or less, about 0.5 (L 93. The shaped abrasive particles according to claim 92, wherein the Larm1 is about 0.45(Larm1) or less and about 0.50(Larm2) or less. .

[0341] Item 94. The body includes a first arm having a first maximum tip width between the first arm and the midpoint. The first arm further has a first throat width (Wth1) that defines a narrowest portion of the first arm. The throat width (Wth1) defines the position of the first throat width along the axis of the first arm. , the first throat position is closer to the midpoint than the position of the first maximum tip width, items 8 and 91 3. The shaped abrasive particle according to claim 1 .

[0342] Item 95. The first throat position is the first throat position and the first maximum tip width position. A first throat length (Lth1) is defined extending between the first throat length (Lth 1) is a small portion of the total length of the first arm (Larm1) and the first throat length (Lt h1) is at least about 0.01 (Larm1), at least about 0.02 (Larm1) , at least about 0.03 (Larm1), at least about 0.04 (Larm1), at least At least about 0.05 (Larm1), at least about 0.06 (Larm1), at least about 0 .07 (Larm1), at least about 0.08 (Larm1), at least about 0.09 ( Larm1), at least about 0.1 (Larm1), at least about 0.12 (Larm1 ), at least about 0.15 (Larm1), at least about 0.18 (Larm1), at least At least about 0.2 (Larm1), at least about 0.22 (Larm1), at least about 0 .25 (Larm1), at least about 0.28 (Larm1), at least about 0.3 (Larm2) arm1), at least about 0.32 (Larm1), at least about 0.35 (Larm1 ), at least about 0.38 (Larm1), at least about 0.4 (Larm1); 95. The shaped abrasive particle according to item 94.

[0343] Item 96. The first throat length (Lth1) is about 0.95 (Larm1) or less, about 0 .9 (Larm1) or less, approximately 0.85 (Larm1) or les...

Claims

1. 1. A shaped abrasive particle comprising: a first major surface, a second major surface, and a substrate extending between the first major surface and the second major surface; and a side surface that faces the body, the body having a sharpness-shape within a range of about 0.7 to about 1.

7. Shape-strength factor (3SF), and a shape index in the range of at least about 0.01 to about 0.47 or less. A number of shaped abrasive particles.

2. The body of claim 1 has a shape index of at least about 0.1 to about 0.

45. The shaped abrasive particles are as follows.

3. The body according to claim 1, wherein the body has a 3SF of at least about 0.72 to about 1.65 or less. The shaped abrasive particles are as follows.

4. The body has a strength in the range of at least about 350 MPa to about 1500 MPa.

2. The shaped abrasive particle of claim 1 .

5. The body has a tip sharpness within the range of about 80 microns or less to at least about 1 micron.

2. The shaped abrasive particle of claim 1 having

6. The body comprises a polycrystalline material having grains, the grains having an average grain size of about 1 micron or less. The shaped abrasive particle of claim 1 .

7. The body is selected from the group consisting of bonded abrasive articles, coated abrasive articles, and combinations thereof.

10. The shaped abrasive particles of claim 1, which are joined to a substrate as part of a fixed abrasive body selected from the group consisting of: 。

8. A shaped abrasive particle having a first major surface and a second major surface, the first major surface and the second major surface being spaced apart from each other. a first portion of the side extending between the first and second major surfaces of the body; A shaped abrasive particle having a partially concave shape.

9. At least one side of the body has a partially concave shape, and a first portion of the side The portion extends between adjacent first and second corners of the body and is in front of the side surface.

9. The method of claim 8, wherein the first portion includes a first curved section connected to a first straight section. shaped abrasive particles.

10. The first straight section has a length (Ll1) of the first straight section, and the first curved section has a first curved section length (Lc1), and a length coefficient (Ll1 / Lc1) of about 10. The shaped abrasive particle of claim 9, wherein the Mn is from less than 1 to at least about 0.

05.

11. The first portion of the side surface defines an inside corner that is joined to the first straight section and defines an obtuse angle.

10. The shaped abrasive particle of claim 9, comprising a first curvilinear section,

12. The partially concave shape is a small portion of the entire length (Lfp1) of the first portion of the side surface.

10. The method according to claim 9, further comprising the step of: Molded abrasive particles.

13. The first curved section has a radius of curvature (Rc1), the body has a width (W), and 10. The method of claim 9, wherein the radius of curvature (Rc1) is at least half the width of the body. Shaped abrasive particles.

14. The body includes at least a first portion of the side having at least a first curved section. and the second portion of the side surface is connected to the first portion of the side surface by at least one corner portion. the second portion includes at least a second curved section, and the third portion of the side is spaced from the the portion is separated from the first portion of the side by at least one corner; and and separated from the second portion of the side by at least one corner portion, 10. The shaped abrasive particle of claim 9, wherein the third portion includes at least a third curvilinear section.

15. 1. A shaped abrasive particle comprising: a first major surface, a second major surface, and a gap extending between the first major surface and the second major surface; and a side surface extending from the first arm of the body, the side surface defining a maximum width of the first arm of the body. The first maximum tip width (Wt1) is A distance from the first end of the arm and between the midpoint of the body and the first end. , shaped abrasive particles.

Images