SAXS-based perfluorinated sulfonic acid resin dispersion liquid analysis method

Through the SAXS-based analysis method and the combined fitting of multiple models, the problem of incomplete fitting of scattering curves in perfluorosulfonic acid resin dispersion is solved, and the detailed acquisition of the structural parameters of the dispersion is achieved, which improves the comprehensiveness and accuracy of structural analysis.

CN120121647AActive Publication Date: 2025-06-10SHANGHAI JIAOTONG UNIV
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Patent Information

Application Number
CN202311676172.6
Authority / Receiving Office
CN · China
Patent Type
Applications(China)
Current Assignee / Owner
Filing Date
2023-12-08
Publication Date
2025-06-10
Estimated Expiration
2043-12-08

AI Technical Summary

Technical Problem

The lack of accurate global fitting of the scattering curve of perfluorosulfonic acid resin dispersion in the prior art leads to limited structural data.

Method used

Using a SAXS-based analysis method, the structural parameters of the perfluorosulfonic acid resin dispersion were obtained by obtaining the 2D SAXS map and converting it into a 1D SAXS curve map, and the Guinier-Porod, Teubner-Strey and Deybe-Bueche models were combined for global fitting.

Benefits of technology

The comprehensive acquisition of structural information such as the morphology, size and related distance between the perfluorosulfonic acid aggregates in the perfluorosulfonic acid resin dispersion is achieved, and the comprehensiveness and accuracy of structural analysis are improved.

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Abstract

The invention belongs to the field of perfluorinated sulfonic acid resin dispersion liquid, and particularly relates to an SAXS-based perfluorinated sulfonic acid resin dispersion liquid analysis method, which comprises: obtaining a 2D SAXS map of a perfluorinated sulfonic acid resin dispersion liquid based on synchrotron radiation SAXS; converting the 2D SAXS graph into a 1D SAXS curve graph; carrying out global fitting on the 1D SAXS curve graph by adopting a model to obtain structural parameters of the perfluorinated sulfonic acid resin dispersion liquid; the model comprises one or more of a Guinier-Pood model, a Tembner-Strey model and a Deybe-Bueche model, and the model comprises one or more of the Guinier-Pood model, the Tembner-Strey model and the Deybe-Bueche model. Compared with the prior art, the problems that in the prior art, a method for precisely and globally fitting scattering curves is lacked, and obtained structural data are limited are solved; the structure information such as the form, the size, the correlation distance between the aggregates and the like of the perfluorosulfonic acid aggregates in the perfluorosulfonic acid resin dispersion liquid is obtained.
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Description

Technical Field

[0001] The present invention belongs to the field of perfluorosulfonic acid resin dispersions, and particularly relates to an analysis method of perfluorosulfonic acid resin dispersions based on SAXS. Background Art

[0002] Perfluorosulfonic acid resin is a key material for proton exchange membranes and fuel cell catalyst layers. Its aggregation morphology, aggregate size, and arrangement state in solvents will directly affect the film-forming quality of proton exchange membranes. Therefore, researchers have gradually realized the importance of studying the properties of perfluorosulfonic acid resin dispersions.

[0003] Previous studies have used small-angle scattering techniques and various fitting models to characterize the size, shape, and surface properties of aggregates in perfluorosulfonic acid resin dispersions. However, previous studies focused more on the size extraction of perfluorosulfonic acid resin aggregates in the high-q (scattering vector) region and lacked global fitting of the scattering curve.

[0004] In addition, the interpretation of SAXS data by a single model fitting method is limited, resulting in incomplete structural analysis. Compared with small-angle scattering experiments, it is more important to perform accurate global fitting of the scattering curve. Therefore, it is necessary to continue to explore and try combinations of various scattering models to aim at complete fitting of the scattering data and obtain a more reasonable and physically meaningful structure. Summary of the Invention

[0005] The purpose of the present invention is to provide an analysis method of perfluorosulfonic acid resin dispersions based on SAXS to solve at least one of the above problems, so as to solve the problem that there is a lack of an accurate global fitting method for the scattering curve in the prior art and the obtained structural data is limited; and realize the acquisition of structural information such as the morphology, size, and inter-aggregate correlation distance of perfluorosulfonic acid aggregates in perfluorosulfonic acid resin dispersions.

[0006] The purpose of the present invention is achieved through the following technical solutions:

[0007] An analysis method of perfluorosulfonic acid resin dispersions based on SAXS includes the following steps:

[0008] S1: Obtain a 2D SAXS pattern of the perfluorosulfonic acid resin dispersion based on synchrotron radiation SAXS;

[0009] S2: Convert the 2D SAXS pattern obtained in step S1 into a 1D SAXS curve graph;

[0010] S3: Perform global fitting on the 1D SAXS curve graph obtained in step S2 using a model to obtain the structural parameters of the perfluorosulfonic acid resin dispersion;

[0011] The model described above includes one or more of the Guinier-Porod model, the Teubner-Strey model, and the Deybe-Bueche model.

[0012] Preferably, the synchrotron SAXS is detected in transmission mode, and the conditions include: the X-ray energy is 10 keV, the distance between the sample and the detector is 2000 - 4000 mm, and the detection range of the scattering vector is

[0013] Preferably, the model is a multi-scale Unified fitting model, which is obtained by combining multiple Guinier-Porod models and is used for fitting multi-scale structural systems. The fitting formula is as shown in Equation (1):

[0014]

[0015] In Equation (1), I(q) is the scattering intensity, n is the number of multi-scales of the multi-scale structural system, R gi is the mean square radius of gyration, P i is the Porod fractal dimension, G i and B i are both pre-factors, and q is the scattering vector.

[0016] Preferably, the model is a DB+TS+UF combined model, including:

[0017] The scattering signals with scattering vectors in the range are fitted by the Guinier-Porod model; the scattering signals with scattering vectors in the range are fitted by the Teubner-Strey model; the scattering signals with scattering vectors in the range are fitted by the Deybe-Bueche model. The scattering signals of the scattering vectors at the range end values can be fitted by any one of the two models including this point value. Taking as an example, it can be fitted by either the Guinier-Porod model or the Teubner-Strey model.

[0018] Preferably, the fitting formula of the Guinier-Porod model is as shown in Equation (2):

[0019]

[0020] In Equation (2), I(q) is the scattering intensity, R g1 is the radius of gyration, P 1 is the surface fractal dimension, G and B are both pre-factors, and q is the scattering vector;

[0021] The fitting formula of the Teubner-Strey model is shown in Equation (3):

[0022]

[0023] In Equation (3), I(q) is the scattering intensity, is the volume percentage of perfluorosulfonic acid resin in the dispersion, Δρ is the contrast, ξ TS is the correlation length, q is the scattering vector, B is the incoherent scattering background, a 2 , c 1 and c 2 are all fitting parameters of the Teubner-Strey model;

[0024] The fitting formula of the Deybe-Bueche model is shown in Equation (4):

[0025]

[0026] In Equation (4), I(q) is the scattering intensity, is the volume percentage of perfluorosulfonic acid resin in the dispersion, Δρ is the contrast, ξ DB is the correlation distance of large-size aggregates, and q is the scattering vector.

[0027] Preferably, the radius of gyration R g1 and the surface fractal dimension P 1 are obtained through the Guinier-Porod model; the correlation length ξ TS , the interparticle distance d TS and the amphiphilicity intensity f a are obtained through the Teubner-Strey model; the correlation length ξ DB of large-size aggregates is obtained through the Deybe-Bueche model;

[0028] Among them,

[0029] The correlation length ξ TS is obtained through Equation (3-1):

[0030]

[0031] The interparticle distance d TS is obtained through Equation (3-2):

[0032]

[0033] The amphiphilicity intensity f a is obtained through Equation (3-3):

[0034]

[0035] Preferably, in the perfluorosulfonic acid resin dispersion liquid, the mass percentage of the perfluorosulfonic acid resin is 0.01 - 90 wt%, and the rest is a dispersion solvent.

[0036] More preferably, in the perfluorosulfonic acid resin dispersion liquid, the mass percentage of the perfluorosulfonic acid resin is 0.1 - 40 wt%, and the rest is a dispersion solvent.

[0037] Even more preferably, in the perfluorosulfonic acid resin dispersion liquid, the mass percentage of the perfluorosulfonic acid resin is 0.2 - 35 wt%, and the rest is a dispersion solvent.

[0038] Preferably, the dispersion solvent includes water and a second solvent, wherein the mass percentage of water in the dispersion solvent is 5 - 95%, and the rest is the second solvent.

[0039] More preferably, the dispersion solvent includes water and a second solvent, wherein the mass percentage of water in the dispersion solvent is 20 - 80%, and the rest is the second solvent.

[0040] Preferably, the second solvent includes one or more of methanol, ethanol, isopropanol, n - propanol, ethylene glycol, propylene glycol, glycerol, N,N - dimethylformamide, dimethyl sulfoxide, N - methylpyrrolidone, and dimethylacetamide.

[0041] Preferably, the second solvent includes one or more of ethanol, isopropanol, n - propanol, and N,N - dimethylformamide.

[0042] Preferably, the second solvent includes one or more of methanol, ethanol, isopropanol, n - propanol, ethylene glycol, propylene glycol, glycerol, N,N - dimethylformamide, dimethyl sulfoxide, N - methylpyrrolidone, and dimethylacetamide.

[0043] Preferably, the perfluorosulfonic acid resin dispersion liquid is contained in a high - borosilicate glass capillary for synchrotron radiation SAXS detection.

[0044] The working principle of the present invention is as follows:

[0045] First, the perfluorosulfonic acid resin and the dispersion solvent are uniformly blended to prepare the perfluorosulfonic acid resin dispersion liquid to be measured, and the dispersion liquid is transferred into a high - borosilicate glass capillary. The capillary is then placed in a test chamber filled with He gas for SAXS testing. After the test, the SAXS data is converted into a 1D curve graph using Igor software, and the data is analyzed using a related model to obtain structural information such as the morphology, size, and inter - aggregate correlation distance of the perfluorosulfonic acid aggregates in the dispersion liquid.

[0046] Compared with the prior art, the present invention has the following beneficial effects:

[0047] 1. A method for analyzing perfluorosulfonic acid resin dispersion by SAXS proposed by the present invention has strong universality and can study the properties of perfluorosulfonic acid resin dispersion from very dilute solution to viscous or even gel dispersion.

[0048] 2. The combined use of the multi-scale Unified fitting model and the Deybe-Bueche+Teubner-Strey+Guinier-Porod (abbreviated as DB+TS+UF) combined model proposed by the present invention can comprehensively analyze SAXS data and obtain more detailed dispersion structure information. Description of the Drawings

[0049] Figure 1 1D SAXS pattern of the perfluorosulfonic acid resin dispersion prepared in Example 1 and fitted by the multi-scale Unified fitting model;

[0050] Figure 2 1D SAXS pattern of the perfluorosulfonic acid resin dispersion prepared in Example 2 and fitted by the DB+TS+UF combined model;

[0051] Figure 3 1D SAXS patterns of the perfluorosulfonic acid resin dispersions prepared in Examples 3-5 and fitted by the multi-scale Unified fitting model. Detailed Embodiments

[0052] The present invention will be described in detail below with reference to the drawings and specific embodiments.

[0053] In the following examples, if not otherwise specified, the reagents used are conventional commercially available products, and the methods used are well-known means in the art.

[0054] Example 1

[0055] A method for analyzing perfluorosulfonic acid resin dispersion by SAXS includes the following steps:

[0056] (1) Preparation of perfluorosulfonic acid resin dispersion: First, a 1 mL mixed solvent is prepared by mixing water and ethanol at a mass ratio of 3:1, then 2 mg of perfluorosulfonic acid resin is added to the mixed solvent, and magnetically stirred at room temperature for 90 min to obtain a 2 mg / mL perfluorosulfonic acid resin dispersion. After standing for 24 h, it is filtered through a 0.22 um PTFE filter head for standby.

[0057] (2) Transfer the perfluorosulfonic acid resin dispersion into a high-borosilicate glass capillary for SAXS testing. Testing conditions: transmission model, X-ray energy 10 keV, data collection for 2 min, and the distance between the sample and the detector is fixed at 3579 mm.

[0058] (3) Use Igor software to transform the 2D SAXS pattern into a 1D SAXS curve, and use the multi-scale Unified fitting model to fit to obtain the structural parameters of the dispersion, including the surface fractal dimension P 1 , the radius of gyration R of the rod-shaped aggregates in the radial direction g1 , the mass fractal dimension P 2 , the radius of gyration R of the rod-shaped aggregates in the radial direction g2 , the interparticle coherence distance d UF .

[0059] Example 2

[0060] A method for analyzing perfluorosulfonic acid resin dispersion by SAXS, comprising the following steps:

[0061] (1) Preparation of perfluorosulfonic acid resin dispersion: First, prepare 1 mL of a mixed solvent by mixing water and ethanol according to a mass ratio of 3:1, then add 2 mg of perfluorosulfonic acid resin to the mixed solvent, and magnetically stir at room temperature for 90 min to obtain a 2 mg / mL perfluorosulfonic acid resin dispersion. After standing for 24 h, filter it with a 0.22 um PTFE filter head for use.

[0062] (2) Transfer the perfluorosulfonic acid resin dispersion into a high-borosilicate glass capillary for SAXS testing. Testing conditions: transmission model, X-ray energy 10 keV, data collection for 2 min, and the distance between the sample and the detector fixed at 3579 mm.

[0063] (3) Use Igor software to transform the 2D SAXS pattern into a 1D SAXS curve, and use the DB+TS+UF combined model to fit to obtain the structural parameters of the dispersion, including the radius of gyration R g1 and the surface fractal dimension P 1 , the correlation length ξ TS and the interparticle distance d TS and the amphiphilicity strength f a , the correlation length ξ of the large-size aggregates DB .

[0064] Example 3

[0065] A method for analyzing perfluorosulfonic acid resin dispersion by SAXS, comprising the following steps:

[0066] (1) Preparation of perfluorosulfonic acid resin dispersion: First, prepare 1 mL of a mixed solvent by mixing water and ethanol according to a mass ratio of 1:1, then add 2 mg of perfluorosulfonic acid resin to the mixed solvent, and magnetically stir at room temperature for 90 min to obtain a 2 mg / mL perfluorosulfonic acid resin dispersion. After standing for 24 h, filter it with a 0.22 um PTFE filter head for use.

[0067] (2) Transfer the perfluorosulfonic acid resin dispersion into a high-borosilicate glass capillary for SAXS testing. Testing conditions: transmission model, X-ray energy 10 keV, data acquisition for 2 min, and the distance between the sample and the detector fixed at 3579 mm.

[0068] (3) Use Igor software to convert the 2D SAXS pattern into a 1D SAXS curve, and fit it with a multi-scale Unified fitting model to obtain the structural parameters of the dispersion.

[0069] Example 4

[0070] A method for analyzing a perfluorosulfonic acid resin dispersion using SAXS, comprising the following steps:

[0071] (1) Preparation of perfluorosulfonic acid resin dispersion: First, prepare 1 mL of a mixed solvent by mixing water and ethanol in a mass ratio of 1:1. Then, add 10 mg of perfluorosulfonic acid resin to the mixed solvent and magnetically stir at room temperature for 90 min to obtain a 10 mg / mL perfluorosulfonic acid resin dispersion. After standing for 24 h, filter it with a 0.22-μm PTFE filter head for use.

[0072] (2) Transfer the perfluorosulfonic acid resin dispersion into a high-borosilicate glass capillary for SAXS testing. Testing conditions: transmission model, X-ray energy 10 keV, data acquisition for 2 min, and the distance between the sample and the detector fixed at 3579 mm.

[0073] (3) Use Igor software to convert the 2D SAXS pattern into a 1D SAXS curve, and fit it with a multi-scale Unified fitting model to obtain the structural parameters of the dispersion.

[0074] Example 5

[0075] A method for analyzing a perfluorosulfonic acid resin dispersion using SAXS, comprising the following steps:

[0076] (1) Preparation of perfluorosulfonic acid resin dispersion: First, prepare 1 mL of a mixed solvent by mixing water and ethanol in a mass ratio of 1:1. Then, add 20 mg of perfluorosulfonic acid resin to the mixed solvent and magnetically stir at room temperature for 90 min to obtain a 20 mg / mL perfluorosulfonic acid resin dispersion. After standing for 24 h, filter it with a 0.22-μm PTFE filter head for use.

[0077] (2) Transfer the perfluorosulfonic acid resin dispersion into a high-borosilicate glass capillary for SAXS testing. Testing conditions: transmission model, X-ray energy 10 keV, data acquisition for 2 min, and the distance between the sample and the detector fixed at 3579 mm.

[0078] (3) Use Igor software to convert the 2D SAXS pattern into a 1D SAXS curve, and use the multi-scale Unified fitting model to fit and obtain the structural parameters of the dispersion liquid.

[0079] Description of the specific fitting method for SAXS data:

[0080] 1. Multi-scale Unified fitting model:

[0081] The multi-scale Unified (UF) fitting model integrates multiple Guinier-Porod models and is applicable to a multi-scale structural system. The fitting formula is shown in Equation (1). Use Equation (1) to globally fit the SAXS data to obtain the surface fractal dimension P 1 , the radius of gyration R of the rod-like aggregates in the radial direction g1 , the mass fractal dimension P 2 , the radius of gyration R of the rod-like aggregates in the radial direction g2 , and structural parameters such as the inter-particle coherence distance d.

[0082]

[0083] Among them, I(q) is the scattering intensity, n is the number of multi-scales in the system, where n = 3. R gi is the mean square radius of gyration, P i is the Porod fractal dimension, G i and B i are both pre-factors, and q is the scattering vector.

[0084] 2. DB+TS+UF model fitting method:

[0085] Perfluorosulfonic acid resin is composed of a hydrophobic main chain and a hydrophilic side chain, and its amphiphilicity determines that perfluorosulfonic acid resin forms microemulsions in the dispersion liquid. The Teubner-Strey model was initially developed to study the phase separation behavior and microstructural order in microemulsions. Therefore, this model is suitable for the study of perfluorosulfonic acid resin dispersions.

[0086] (1) The relevant model formulas are as follows:

[0087] 1) The relevant formula of the Guinier-Porod model is shown in Equation (2):

[0088]

[0089] In Equation (2), I(q) is the scattering intensity, R g1 is the radius of gyration, P 1 is the surface fractal dimension, G and B are both pre-factors, and q is the scattering vector.

[0090] 2) The relevant formula of the Teubner - Strey (TS) model is shown in Equation (3):

[0091]

[0092] In Equation (3), I(q) is the scattering intensity, is the volume percentage of perfluorosulfonic acid resin in the dispersion, Δρ is the contrast, B is the incoherent scattering background; a 2 , c 1 and c 2 are the fitting parameters used in the Teubner - Strey model, and q is the scattering vector.

[0093] Further, using Equations (3 - 1) to (3 - 3), the correlation length ξ TS and the inter - particle distance d TS and the amphiphilicity strength f a can be obtained:

[0094] Among them,

[0095] The correlation length ξ TS is obtained through Equation (3 - 1):

[0096]

[0097] The inter - particle distance d TS is obtained through Equation (3 - 2):

[0098]

[0099] The amphiphilicity strength f a is obtained through Equation (3 - 3):

[0100]

[0101] 3) The relevant formula of the Debye - Bueche (DB) model is shown in Equation (4):

[0102]

[0103] In Equation (4), I(q) is the scattering intensity, is the volume percentage of perfluorosulfonic acid resin in the dispersion, Δρ is the contrast, ξ DB is the correlation distance, and q is the scattering vector.

[0104] (2) Fitting process of the combined model:

[0105] Step 1: Fit the scattering signal in the range using the Guinier - Porod model to obtain the radius of gyration R g1 and the surface fractal dimension P1 ;

[0106] Step 2: Fit the scattering signals in the range to obtain the correlation length ξ TS and the inter-particle distance d TS and the amphiphilicity strength f a ;

[0107] Step 3: Fit the scattering signals in the range to obtain the correlation length ξ of large-sized aggregates DB .

[0108] As Figure 1 and Figure 2 shown, perfluorosulfonic acid resin dispersions with a concentration of 2 mg / mL were prepared in Examples 1-2, and 1D SAXS scattering patterns were obtained by testing with a SAXS instrument. The multi-scale Unified fitting model and the DB+TS+UF model were used for data fitting respectively. It was found that both fitting models could perform high-precision fitting on the global SAXS curve and obtain complementary structural parameters, so as to more comprehensively analyze the structure of the perfluorosulfonic acid resin dispersion. The perfluorosulfonic acid resin self-assembled into a rod-like particle configuration in the water / ethanol mixed solvent. The R g1 of the rod-like particles was 1.1 nm, and the R g2 was 6 nm. The inter-particle correlation distances d UF and d TS were 41.1 nm and 48.3 nm respectively. The particle correlation length ξ TS was 16 nm, the amphiphilicity parameter f a was -0.6, and the correlation length ξ DB of the large-sized aggregates was 42 nm.

[0109] As Figure 3 shown, perfluorosulfonic acid resin dispersions with different concentrations prepared in Examples 3-5 were tested by SAXS to obtain 1D SAXS scattering patterns, and the multi-scale Unified fitting model was used for analysis. It was found that in the high-alcohol solvent system, the mass fractal dimension P 2 ~1.38, deviating significantly from that of rigid rod-like particles (P 2 ~1), indicating that the high-alcohol solvent system can induce the formation of flexible rod-like particles. And as the concentration increases, the mass fractal dimension P 2 increases, and the distance d UF between the rod-like particles decreases, indicating that from dilute solution to concentrated solution, monodisperse rod-like particles overlap and self-assemble into a network structure.

[0110] The above description of the embodiments is provided to enable those of ordinary skill in the art to understand and use the invention. It will be apparent to those skilled in the art that various modifications can be readily made to these embodiments, and the general principles described herein can be applied to other embodiments without creative effort. Therefore, the present invention is not limited to the above embodiments, and all improvements and modifications made by those skilled in the art without departing from the scope of the present invention as disclosed should be within the protection scope of the present invention.

Claims

1. An analytical method for perfluorosulfonic acid resin dispersion based on SAXS, characterized in that, it comprises the following steps: S1: Obtain the 2D SAXS pattern of the perfluorosulfonic acid resin dispersion based on synchrotron radiation SAXS; S2: Convert the 2D SAXS pattern obtained in step S1 into a 1D SAXS curve graph; S3: Use a model to globally fit the 1D SAXS curve graph obtained in step S2 to obtain the structural parameters of the perfluorosulfonic acid resin dispersion; The model includes one or more of the Guinier-Porod model, the Teubner-Strey model, and the Deybe-Bueche model.

2. The analytical method for perfluorosulfonic acid resin dispersion based on SAXS according to claim 1, characterized in that, The synchrotron radiation SAXS described above is detected in transmission mode, and the conditions include: the X-ray energy is 10 keV, the distance between the sample and the detector is 2000 - 4000 mm, and the detection range of the scattering vector is 3. The analytical method for perfluorosulfonic acid resin dispersion based on SAXS according to claim 2, characterized in that, The model is a multi-scale Unified fitting model, which is obtained by combining multiple Guinier-Porod models and is used for fitting multi-scale structural systems. The fitting formula is as shown in formula (1): In Equation (1), I(q) is the scattering intensity, n is the number of multi-scales of the multi-scale structure system, R gi is the mean square radius of gyration, P i is the Porod fractal dimension, G i and B i are both pre-factors, and q is the scattering vector.

4. The analytical method for perfluorosulfonic acid resin dispersion based on SAXS according to claim 2, characterized in that, The model is a DB+TS+UF combined model, including: The scattering signals with scattering vectors in are fitted by the Guinier-Porod model; the scattering signals with scattering vectors in are fitted by the Teubner-Strey model; the scattering signals with scattering vectors in are fitted by the Deybe-Bueche model.

5. The analytical method for perfluorosulfonic acid resin dispersion based on SAXS according to claim 4, characterized in that, The fitting formula of the Guinier-Porod model is as shown in formula (2): In Equation (2), I(q) is the scattering intensity, R g1 is the gyration radius, P 1 is the surface fractal dimension, G and B are both pre-factors, and q is the scattering vector; The fitting formula of the Teubner-Strey model is as shown in formula (3): In Equation (3), I(q) is the scattering intensity, is the volume percentage of perfluorosulfonic acid resin in the dispersion, Δρ is the contrast, ξ TS is the correlation length, q is the scattering vector, B is the incoherent scattering background, a 2 , c 1 and c 2 are all fitting parameters of the Teubner-Strey model; The fitting formula of the Deybe-Bueche model is as shown in formula (4): In Equation (4), I(q) is the scattering intensity, is the volume percentage of perfluorosulfonic acid resin in the dispersion, Δρ is the contrast, and ξ DB is the correlation distance of large-size aggregates, and q is the scattering vector.

6. The analytical method for perfluorosulfonic acid resin dispersion based on SAXS according to claim 5, characterized in that, Obtain the radius of gyration R through the described Guinier-Porod model g1 and the surface fractal dimension P 1 ; Obtain the correlation length ξ through the described Teubner-Strey model TS , the interparticle distance d TS and the amphiphilicity strength f a ; Obtain the correlation length ξ of large-size aggregates through the described Deybe-Bueche model DB ; wherein, Correlation length ξ TS Obtained from Equation (3-1): Inter-particle distance d TS Obtained from Equation (3-2): Amphiphilic strength f a Obtained by formula (3-3):

7. The analytical method for perfluorosulfonic acid resin dispersion based on SAXS according to claim 1, characterized in that, In the perfluorosulfonic acid resin dispersion, the mass percentage of the perfluorosulfonic acid resin is 0.01-90 wt%, and the rest is a dispersion solvent.

8. The analytical method for perfluorosulfonic acid resin dispersion based on SAXS according to claim 7, characterized in that, The dispersion solvent includes water and a second solvent. Among them, the mass percentage of water in the dispersion solvent is 5-95%, and the rest is the second solvent.

9. The analytical method for perfluorosulfonic acid resin dispersion based on SAXS according to claim 8, characterized in that, The second solvent includes one or more of methanol, ethanol, isopropanol, n-propanol, ethylene glycol, propylene glycol, glycerol, N,N-dimethylformamide, dimethyl sulfoxide, N-methylpyrrolidone, and dimethylacetamide.

10. The analytical method for perfluorosulfonic acid resin dispersion based on SAXS according to claim 1, characterized in that, The perfluorosulfonic acid resin dispersion is contained in a high borosilicate glass capillary for synchrotron radiation SAXS detection.

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