Self-driven water purification treatment device

By designing a self-driven water purification treatment device in the basin environment, using triboelectric nanogenerator components to convert the water flow mechanical energy into electricity, and driving the catalytic adsorption component to purify the water body, solving the problem of high energy input in the existing technology and achieving high efficiency , environmentally friendly water purification effect.

CN119461593AActive Publication Date: 2025-02-18HUNAN UNIV
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Patent Information

Application Number
CN202510074095.X
Authority / Receiving Office
CN · China
Patent Type
Applications(China)
Current Assignee / Owner
Filing Date
2025-01-17
Publication Date
2025-02-18
Estimated Expiration
2045-01-17

AI Technical Summary

Technical Problem

The prior art requires a large amount of external energy input in the treatment and restoration of watershed environments, resulting in high costs, waste of resources and greenhouse gas emissions.

Method used

Design of a self-driven water purification treatment device, including the arrangement of a triboelectric nanogenerator assembly and a catalytic adsorption assembly in the flowing water flow. The triboelectric nanogenerator assembly converts the mechanical energy of the water flow into pulse current, driving the electrode catalytic membrane in the catalytic adsorption assembly to purify the water body.

Benefits of technology

It realizes efficient catalytic oxidation of pollutants in water without external power input, and the device is environmentally friendly and does not produce pollution by-products.

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Abstract

The invention relates to the technical field of water treatment, and discloses a self-driven water purification treatment device. The device comprises a triboelectric nano generator assembly and a catalytic adsorption assembly which are arranged in water flow. The triboelectric nanometer generator assembly comprises a pulse current output interface, a roller, a conductive assembly, a rotating shaft, a friction assembly, blades and a triboelectric nanometer power generation assembly, the roller rotates around the rotating shaft, the friction assembly and the triboelectric nanometer power generation assembly generate power through friction, the energy conversion efficiency is improved through the blade structure, and stable electric connection is guaranteed through the conductive assembly. The catalytic adsorption assembly comprises a reaction container, an electrode catalytic membrane and a potassium peroxymonosulfate composite salt oxidant, the electrode catalytic membrane comprises a pole piece, an active catalytic layer and an input electrode, and the pulse current output interface is connected with the input electrode. The device can catalytically oxidize water pollutants under the condition that no external power supply is connected.
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Description

Technical Field

[0001] The invention relates to the technical field of water treatment, and in particular to a self-driven water purification device. Background Art

[0002] The current watershed environmental treatment and restoration work requires a lot of energy input, is costly, and also causes resource waste and greenhouse gas emissions. However, natural water flow contains a lot of energy due to gravity potential. If it is used for watershed ecological treatment, it can promote the green and sustainable development of water environment restoration.

[0003] Therefore, there is an urgent need for a device that collects river mechanical energy for environmental treatment in order to build a green watershed restoration technology that does not require external energy input. Summary of the invention

[0004] 1. Technical issues to be resolved In view of the above-mentioned shortcomings and deficiencies of the prior art, the present invention provides a self-driven water purification device to solve the existing problems.

[0005] (II) Technical solution In order to achieve the above object, a self-driven water purification device of the present invention comprises: A triboelectric nanogenerator component and a catalytic adsorption component are arranged in a flowing water flow; wherein, The triboelectric nanogenerator assembly includes a pulse current output interface; The catalytic adsorption assembly includes a reaction container for accommodating water to be purified, an electrode catalytic membrane disposed in the reaction container, and an oxidant; the electrode catalytic membrane includes a pole piece, an active catalytic layer coated on the pole piece, and an input electrode electrically connected to the pole piece; The pulse current output interface is connected to the input electrode.

[0006] Preferably, the triboelectric nanogenerator assembly includes a roller, a conductive assembly, a rotating shaft, a friction assembly, blades, and a triboelectric nanogenerator assembly; The two ends of the rotating shaft are fixedly arranged on the external base; The drum is a structure with a cavity formed inside and closed on both sides. The drum is arranged concentrically with the rotating shaft and is rotatably arranged around the rotating shaft. The friction assembly is arranged on the inner wall of the drum; The triboelectric nano-power generation component is disposed in the cavity of the drum to rub against the friction component when the drum rolls; The conductive component comprises a first conductive component fixedly connected to the rotating shaft, and a second conductive component electrically connected to the friction component; the second conductive component is fixedly connected to the roller and rotates with the roller; the second conductive component is slidably arranged relative to the surface of the first conductive component, and is always in contact with the surface of the first conductive component; The first conductive component is electrically connected to the pulse current output interface; The blades are evenly distributed on the outer surface of the drum along the circumference.

[0007] Preferably, the friction assembly comprises a first annular pole plate and a second annular pole plate which are arranged opposite to each other and do not contact each other in the axial direction of the roller.

[0008] Preferably, a plurality of first pole pieces protrude from the first annular pole plate, and a plurality of second pole pieces protrude from the second annular pole plate, and the first pole pieces and the second pole pieces are arranged on the outer surface of the roller along the axial direction of the roller, and the first pole pieces and the second pole pieces are spaced apart and not in contact with each other.

[0009] Preferably, there are two conductive components, which are respectively arranged at both ends of the roller; the first conductive component includes a copper ring nested on the rotating shaft; the second conductive component includes a conductive fixing seat arranged on the roller and a conductor arranged at the free end of the fixing seat and electrically connected to the first conductive component, and the fixing seat is electrically connected to the friction component.

[0010] Preferably, the drum is connected to the rotating shaft via a bearing.

[0011] Preferably, the triboelectric nano-power generation component comprises a plurality of PET small balls, and a hole for placing the PET small balls is provided on the end surface of the drum.

[0012] Preferably, the cross-section of the blade in the radial direction of the rotating shaft is arc-shaped, and the arc-shaped concave surface faces the direction of water flow.

[0013] Preferably, the electrode catalytic membrane comprises an LDHs catalytic membrane, and the oxidant is a potassium persulfate complex salt oxidant.

[0014] Preferably, the method for preparing the LDHs catalytic membrane comprises the steps of: S1, preparing a raw material solution: adding cobalt nitrate, ferrous nitrate and ammonium molybdate in a ratio of 1: 1.2-2.0:11.8-12.5 to water, adjusting the pH value to alkaline, and obtaining a flocculent precipitation solution; S2, preparing LDHs catalytic nanosheets: subjecting the flocculent precipitate solution in step S1 to a hydrothermal reaction at 60°C to 90°C for 16 to 30 hours, washing and drying the flocculent precipitate, and the resulting material is the LDHs catalytic nanosheets; S3, preparing a reaction solution: adding N,N-diformamide and 5±1% Nafion to water in a ratio of 0.7-1.3:0.9-1.6; S4, preparing LDHs catalytic membrane: adding LDHs catalytic nanosheets to the reaction solution described in step S3 at a ratio of 45-55:1, dropping the solution on a conductive substrate, and finally drying the coated conductive substrate to obtain an LDHs catalytic membrane.

[0015] Preferably, the pH value of the raw material solution in step S1 is 8.9-10.2.

[0016] Preferably, the conductive substrate in step S4 is carbon cloth.

[0017] Preferably, the ratio of cobalt nitrate, ferrous nitrate and ammonium molybdate in step S1 is 1:1.6:12, the ratio of LDHs catalytic nanosheets in step S4 to the reaction solution in step 3 is 50:1, and the ratio of N,N-diformamide and 5±1% Nafion in step S3 is 1:1.

[0018] (III) Beneficial effects 1. The present invention can catalytically oxidize pollutants in water without external power supply; 2. The present invention can be mass-produced; 3. The present invention is environmentally friendly, and the prepared by-products and the pollutants after decomposition do not cause pollution to the environment. BRIEF DESCRIPTION OF THE DRAWINGS

[0019] Figure 1 A schematic diagram of an embodiment of the present invention; Figure 2 It is a front view of the triboelectric nanogenerator assembly of the present invention; Figure 3 An exploded view of a triboelectric nanogenerator assembly of the present invention; Figure 4 for Figure 2 Sectional view along line AA.

[0020] [Description of Reference Numerals] 100: triboelectric nanogenerator component; 101: pulse current output interface 101; 200: catalytic adsorption component; 201: reaction container; 1: rotating shaft; 2: first conductive component; 3: second conductive component; 4: fixed seat; 5: roller; 6: blade; 7: triboelectric nano-power generation component; 8: friction assembly; 801: first annular plate; 802: second annular plate; 8011: first pole piece; 8021: second pole piece; 9: bearing; 10: electrode catalyst membrane. DETAILED DESCRIPTION

[0021] In order to better explain the present invention and facilitate understanding, the present invention is described in detail below through specific implementation modes in conjunction with the accompanying drawings.

[0022] It should be noted that all directional indications (such as up, down, left, right, front, back, etc.) in the embodiments of the present invention are only used to explain the relative position relationship, movement status, etc. between the components under a certain specific posture (as shown in the accompanying drawings). If the specific posture changes, the directional indication will also change accordingly.

[0023] In addition, in the present invention, descriptions such as "first", "second", etc. are only used for descriptive purposes and cannot be understood as indicating or implying their relative importance or implicitly indicating the number of the indicated technical features. Therefore, the features defined as "first" or "second" may explicitly or implicitly include at least one of the features. In the description of the present invention, the meaning of "plurality" is at least two, such as two, three, etc., unless otherwise clearly and specifically defined.

[0024] In the present invention, unless otherwise clearly specified and limited, the terms "connection", "fixation", etc. should be understood in a broad sense. For example, "fixation" can be a fixed connection, a detachable connection, or an integral connection; "connection" can be a mechanical connection or an electrical connection; it can be a direct connection or an indirect connection through an intermediate medium, and it can be the internal connection of two elements or the interaction relationship between two elements, unless otherwise clearly defined. For ordinary technicians in this field, the specific meanings of the above terms in the present invention can be understood according to specific circumstances.

[0025] like Figure 1-Figure 4 As shown, the present invention provides a self-driven water purification device including: a triboelectric nanogenerator component 100 and a catalytic adsorption component 200 arranged in a flowing water flow.

[0026] Among them, the friction electric nanogenerator component 100 includes a pulse current output interface 101; the catalytic adsorption component 200 includes a reaction container 201 for accommodating the water to be purified, an electrode catalytic membrane 10 and an oxidant arranged in the reaction container 201; the electrode catalytic membrane 10 includes a pole piece, an active catalytic layer coated on the pole piece, and an input electrode electrically connected to the pole piece; the pulse current output interface 101 is connected to the input electrode.

[0027] The triboelectric nanogenerator assembly 100 provides a pulse current to the catalytic adsorption assembly 200, and the charge flows from the negative electrode catalyst membrane 10 to the positive electrode. The positive electrode can be a platinum electrode or a graphite electrode, and those skilled in the art will not elaborate here. Under the action of the charge, the electrode catalyst membrane 10 catalyzes the reaction of the oxidant (for example, potassium permonosulfate complex salt oxidant) with sulfamethoxazole in the water body, thereby improving the water treatment efficiency.

[0028] In yet another preferred embodiment, a plurality of friction electric nanogenerator components 100 may be connected to a catalytic adsorption component 200 to increase power generation, thereby accelerating the catalytic efficiency of the catalytic adsorption component 200 .

[0029] See also Figure 2-Figure 4 The triboelectric nanogenerator assembly 100 includes a roller 5, a conductive assembly (not numbered in the figure), a rotating shaft 1, a friction assembly 8, a blade 6 and a triboelectric nanogenerator assembly 7; the two ends of the rotating shaft 1 are fixedly arranged on an external substrate; the roller 5 is a double-sided closed structure with a cavity formed inside, the roller 5 is concentrically arranged with the rotating shaft 1, and is rotatably arranged around the rotating shaft 1; the friction assembly 8 is arranged on the inner wall of the roller 5; the triboelectric nanogenerator assembly 7 is arranged in the cavity of the roller 5 to rub with the friction assembly 8 when the roller 5 rolls; the conductive assembly includes a first conductive assembly 2 fixedly connected to the rotating shaft 1, and a second conductive assembly 3 electrically connected to the friction assembly 8; the second conductive assembly 3 is fixedly connected to the roller 5 and rotates with the roller 5; the second conductive assembly 3 and the surface of the first conductive assembly 2 are relatively slidable, and are always in contact with each other; the first conductive assembly 2 is electrically connected to the pulse current output interface 101; the blades 6 are evenly distributed on the outer surface of the roller 5 along the circumference.

[0030] When water flow acts on the blades 6, the blades 6 will drive the drum 5 to rotate around the rotating shaft 1; since the inner wall of the drum 5 is provided with a friction component 8, the friction electric nano-power generation component 7 inside the drum 5 will rub against the friction component 8 during the rolling process of the drum 5; according to the triboelectric effect, friction will cause the surfaces of the triboelectric nano-power generation component 7 and the friction component 8 to carry different types of charges, thereby generating an electric potential difference.

[0031] Furthermore, the friction assembly 8 includes a first annular electrode plate 801 and a second annular electrode plate 802 which are arranged opposite to each other and not in contact in the axial direction of the roller 5; the two annular electrodes serve as the positive and negative electrodes of the output of the friction electric nanogenerator. The above-mentioned arrangement can prevent the two electrodes from contacting each other and causing a short circuit after the electrodes become loose.

[0032] Preferably, a plurality of first pole pieces 8011 protrude from the first annular pole plate 801, and a plurality of second pole pieces 8021 protrude from the second annular pole plate 802, the first pole pieces 8011 and the second pole pieces 8021 are arranged on the outer surface of the roller 5 along the common axial direction, and the first pole pieces 8011 and the second pole pieces 8021 are spaced apart and not in contact with each other; the plurality of pole pieces protruding outward from the annular pole plates can increase the contact area of ​​the friction component 8 and the friction electric nano power generation component 7, thereby increasing the power generation; in another more preferred embodiment, a plurality of pole pieces can be provided, and the geometric shape of the pole pieces can be changed to maximize the contact area of ​​the friction component 8 and the friction electric nano power generation component 7 in a limited space.

[0033] Specifically, there are two conductive components, which are respectively arranged at both ends of the roller 5; the first conductive component 2 includes a copper ring nested on the rotating shaft 1; the second conductive component 3 includes a conductive fixing seat 4 arranged on the roller 5 and a conductor arranged at the free end of the fixing seat 4 and electrically connected to the first conductive component 2, and the fixing seat 4 is electrically connected to the friction component 8.

[0034] When using wire connection, the structure in this embodiment is adopted, and the wire will not be entangled on the rotating shaft 1 when the roller 5 rotates, and the roller 5 will not stop rotating due to the winding of the wire, thereby causing the failure to output power. The fixing seat 4 can be a copper ring or a copper sheet, etc., and those skilled in the art will not repeat them here. The conductor can be a metal ring or other structure, as long as it is ensured that the conductor is always in contact with the first conductive component 2 for conduction while rotating with the fixing seat 4 and the roller 5.

[0035] Preferably, the roller 5 is connected to the rotating shaft 1 via a bearing 9; the use of the bearing 9 can reduce friction during rotation, protect the part supporting the rotation, and maintain the correct position of the rotating shaft 1. The components can be easily disassembled and replaced, which is convenient for repair and maintenance. The dimensions are standardized and interchangeable, etc., and those skilled in the art will not elaborate on them here.

[0036] Furthermore, the triboelectric nano-power generation component 7 includes a plurality of PET (polyethylene terephthalate) balls, and a hole for placing the PET balls is provided on the end surface of the drum 5; the PET balls are common polymer materials with good mechanical properties, chemical stability and insulation properties. In addition, the surface of the PET material can be treated by various methods (such as sandpaper polishing, screen pressing, etc.) to change its roughness, thereby improving its triboelectric power generation performance.

[0037] Preferably, the blade 6 has an arc-shaped cross-section in the radial direction of the rotating shaft 1, and the arc-shaped concave surface faces the direction of the water flow; improving energy conversion efficiency: the arc-shaped blade can better adapt to the flow direction of the water flow, reduce the turbulent loss when the fluid flows through the blade 6, thereby improving energy conversion efficiency; the arc-shaped design of the blade 6 helps to evenly distribute the force of the water flow on the blade 6 and improve the overall performance.

[0038] Preferably, the electrode catalyst membrane 10 includes an LDHs (layered double hydroxide) catalyst membrane, and the oxidant is a potassium persulfate complex salt oxidant. The LDHs catalyst membrane has a unique layered structure and can provide a large specific surface area, which helps to improve the activity and efficiency of the catalyst. The composition and structure of the LDHs catalyst membrane can be adjusted by changing the type and ratio of metal cations and interlayer anions to optimize its catalytic performance; the LDHs catalyst membrane has good thermal stability and chemical stability and can remain stable over a wide temperature and pH range. There are a large number of coordination unsaturated sites in the layered structure of the LDHs catalyst membrane, which can act as active centers and participate in catalytic reactions, thereby improving the activity of the catalyst; the preparation method of the LDHs catalyst membrane is relatively simple and can be prepared on a large scale by coprecipitation, hydrothermal synthesis and other methods; the LDHs catalyst membrane can be used not only as a catalyst, but also as a catalyst carrier or catalyst precursor, and its catalytic performance can be further improved by compounding with other materials; LDHs usually exhibits high selectivity and low by-product generation during the catalytic process, which is very important for environmentally friendly catalytic reactions.

[0039] It is understandable that in other embodiments, the catalytic oxidation system using LDHs catalytic membrane-potassium permonosulfate composite salt is not limited. As long as the water purification scheme using the electrochemical catalysis-oxidation system is applied, it can be applied to the self-driven water purification treatment device of the present application.

[0040] Furthermore, the method for preparing the LDHs catalytic membrane comprises the steps of: S1. Preparing a raw material solution: adding cobalt nitrate, ferrous nitrate and ammonium molybdate in a ratio of 1: 1.2~2.0:11.8~12.5 to water (eg, ultrapure water, purified water, distilled water, etc.), adjusting the pH value to alkaline, and obtaining a flocculent precipitate solution; S2. Preparation of LDHs catalytic nanosheets: hydrothermally reacting the flocculent precipitate solution in step 1 at 60°C to 90°C for 16 to 30 hours, washing and drying the flocculent precipitate, and the resulting material is the LDHs catalytic nanosheet; S3. Prepare the reaction solution: add N,N-diformamide and 5±1% Nafion to water in a ratio of 0.7~1.3:0.9~1.6; S4. Preparation of LDHs catalytic membrane: Add LDHs catalytic nanosheets to the reaction solution described in step 3 at a ratio of 45-55:1, and drop the solution onto a conductive substrate. Finally, dry the coated conductive substrate to obtain an LDHs catalytic membrane.

[0041] Specifically, the pH value of the raw material solution in step S1 is 8.9-10.2.

[0042] Preferably, the conductive substrate in step S4 is carbon cloth. Carbon cloth itself has good electrical conductivity, which can effectively improve the electron transfer efficiency of the catalytic film, thereby improving the rate and efficiency of the catalytic reaction; carbon cloth has a porous structure and a large specific surface area, which is conducive to the storage of electrolytes and the conduction of electrode reactions, and also provides more loading sites for the catalytic film, increasing the activity of the catalytic film; compared with traditional conductive matrix materials such as plastic films, carbon cloth has good mechanical strength and stable structure, which can improve the stability and service life of the catalytic film; carbon cloth can be made into ultrafine fibers, covering the electrode surface more uniformly, which is conducive to improving the dispersibility and catalytic effect of the catalytic film; compared with carbon materials such as carbon nanotubes, carbon cloth has more raw material sources, lower costs, and is conducive to large-scale production; carbon cloth is soft and easy to process, and can be cut and designed into different shapes and thicknesses to adapt to different application scenarios; specially treated carbon cloth has good hydrophilicity, which is particularly important for some catalytic reactions that need to be carried out in aqueous solution, because it can promote the diffusion of electrolytes and the conduct of reactions.

[0043] Preferably, the ratio of cobalt nitrate, ferrous nitrate and ammonium molybdate in step S1 is 1:1.6:12, the ratio of LDHs catalytic nanosheets in step S4 to the reaction solution in step 3 is 50:1, and the ratio of N,N-diformamide and 5±1% Nafion in step S3 is 1:1.

[0044] It should be understood that the above description of the specific embodiments of the present invention is only for illustrating the technical route and features of the present invention, and its purpose is to enable those skilled in the art to understand the content of the present invention and implement it accordingly, but the present invention is not limited to the above specific implementation methods. Any changes or modifications made within the scope of the claims of the present invention should be included in the protection scope of the present invention.

Claims

1. A self-driven water purification device, characterized in that: include: A triboelectric nanogenerator component and a catalytic adsorption component are arranged in a flowing water flow; wherein, The triboelectric nanogenerator assembly includes a pulse current output interface; The catalytic adsorption assembly includes a reaction container for accommodating water to be purified, an electrode catalytic membrane disposed in the reaction container, and an oxidant; the electrode catalytic membrane includes a pole piece, an active catalytic layer coated on the pole piece, and an input electrode electrically connected to the pole piece; The pulse current output interface is connected to the input electrode.

2. The self-driven water purification device according to claim 1, characterized in that: The triboelectric nanogenerator assembly includes a roller, a conductive assembly, a rotating shaft, a friction assembly, blades, and a triboelectric nanogenerator assembly; The two ends of the rotating shaft are fixedly arranged on the external base; The drum is a structure with a cavity formed inside and closed on both sides. The drum is arranged concentrically with the rotating shaft and is rotatably arranged around the rotating shaft. The friction assembly is arranged on the inner wall of the drum; The triboelectric nano-power generation component is disposed in the cavity of the drum to rub against the friction component when the drum rolls; The conductive component comprises a first conductive component fixedly connected to the rotating shaft, and a second conductive component electrically connected to the friction component; the second conductive component is fixedly connected to the roller and rotates with the roller; the second conductive component is slidably arranged relative to the surface of the first conductive component, and is always in contact with the surface of the first conductive component; The first conductive component is electrically connected to the pulse current output interface; The blades are evenly distributed on the outer surface of the drum along the circumference.

3. The self-driven water purification device according to claim 2, characterized in that: The friction assembly includes a first annular pole plate and a second annular pole plate which are arranged opposite to each other and do not contact each other in the axial direction of the roller.

4. The self-driven water purification device according to claim 3, characterized in that: A plurality of first pole pieces protrude from the first annular pole plate, and a plurality of second pole pieces protrude from the second annular pole plate. The first pole pieces and the second pole pieces are arranged on the outer surface of the roller along the axial direction of the roller, and the first pole pieces and the second pole pieces are spaced apart and do not contact each other.

5. The self-driven water purification device according to claim 3, characterized in that: There are two conductive components, which are respectively arranged at both ends of the roller; the first conductive component includes a copper ring nested on the rotating shaft; the second conductive component includes a conductive fixing seat arranged on the roller and a conductor arranged at the free end of the fixing seat and electrically connected to the first conductive component, and the fixing seat is electrically connected to the friction component.

6. The self-driven water purification device according to claim 2, characterized in that: The drum is connected to the rotating shaft via a bearing, the friction electric nano power generation component includes a plurality of PET balls, a hole for placing the PET balls is provided on the end surface of the drum, the blade has an arc-shaped cross-section in the radial direction of the rotating shaft, and the arc-shaped concave surface faces the direction of the water flow.

7. The self-driven water purification device according to claim 1, characterized in that: The electrode catalytic membrane comprises an LDHs catalytic membrane, and the oxidant is a potassium persulfate composite salt oxidant.

8. The self-driven water purification device according to claim 7, characterized in that: The method for preparing the LDHs catalytic membrane comprises the steps of: S1, preparing a raw material solution: adding cobalt nitrate, ferrous nitrate and ammonium molybdate in a ratio of 1: 1.2-2.0:11.8-12.5 to water, adjusting the pH value to alkaline, and obtaining a flocculent precipitation solution; S2, preparing LDHs catalytic nanosheets: subjecting the flocculent precipitate solution in step S1 to a hydrothermal reaction at 60°C to 90°C for 16 to 30 hours, washing and drying the flocculent precipitate, and the resulting material is the LDHs catalytic nanosheets; S3, preparing a reaction solution: adding N,N-diformamide and 5±1% Nafion to water in a ratio of 0.7-1.3:0.9-1.6; S4, preparing LDHs catalytic membrane: adding LDHs catalytic nanosheets to the reaction solution described in step S3 at a ratio of 45-55:1, dropping the solution on a conductive substrate, and finally drying the coated conductive substrate to obtain an LDHs catalytic membrane.

9. The self-driven water purification device according to claim 8, characterized in that: The pH value of the raw material solution in step S1 is 8.9-10.2; the conductive substrate in step S4 is carbon cloth.

10. The self-driven water purification device according to claim 8, characterized in that: The ratio of cobalt nitrate, ferrous nitrate and ammonium molybdate in step S1 is 1:1.6:12, the ratio of LDHs catalytic nanosheets in step S4 to the reaction solution in step 3 is 50:1, and the ratio of N,N-diformamide and 5±1% Nafion in step S3 is 1:1.

Citation Information

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