CN113248767B - Bending-resistant thermoelectric thin film and preparation method thereof - Google Patents

Bending-resistant thermoelectric thin film and preparation method thereof Download PDF

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CN113248767B
CN113248767B CN202110509666.XA CN202110509666A CN113248767B CN 113248767 B CN113248767 B CN 113248767B CN 202110509666 A CN202110509666 A CN 202110509666A CN 113248767 B CN113248767 B CN 113248767B
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acetone
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郭志军
黄国伟
陈仁政
涂建军
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Shenzhen Hanhua Thermal Management Technology Co Ltd
Suzhou Kanronics Electronics Technology Co Ltd
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Abstract

The invention discloses a bending-resistant thermoelectric film and a preparation method thereof, belonging to the technical field of thermoelectric materials. The method comprises the following steps: s11, 2,2 '-bis (trifluoromethyl) -4, 4' -biphenyldiamine reacts with hexafluoro dianhydride, 3',4,4' -biphenyltetracarboxylic dianhydride and then reacts with acetic anhydride and triethylamine in a solvent; s12, precipitating, centrifuging and drying to obtain polyimide; s13, dissolving the polyimide in a solvent, defoaming in vacuum, casting a glass plate, heating to remove the solvent, and stripping to obtain a film; s14, preprocessing the film; s15, sputtering N-type Bi2Te 3. According to the preparation method of the bending-resistant thermoelectric film, the polyimide film is used as a substrate, and the N-type Bi2Te3 is sputtered by adopting a magnetron sputtering method, so that the obtained thermoelectric film has good thermoelectric performance and bending resistance.

Description

Bending-resistant thermoelectric thin film and preparation method thereof
Technical Field
The invention belongs to the technical field of thermoelectric materials, and particularly relates to a bending-resistant thermoelectric thin film and a preparation method thereof.
Background
The thermoelectric material is a functional material capable of converting thermal energy and electric energy into each other, and the seebeck effect discovered in 1823 and the peltier effect discovered in 1834 provide theoretical bases for applications of thermoelectric energy converters and thermoelectric refrigeration.
The thermoelectric material can directly convert temperature difference into electric energy, and has the potential of energy conservation and emission reduction in daily life and industrial production. Most of the current studies on the thermoelectric conversion efficiency of thermoelectric materials are one of the key factors limiting the applications of the thermoelectric materials. The thermoelectric thin film material has high thermoelectric conversion efficiency and wide applicability in various devices. The application of the thermoelectric thin film substrate such as quartz glass and magnesium oxide is limited due to the relatively poor bending property.
Disclosure of Invention
In order to solve the above problems, the present invention proposes a thermoelectric thin film material of a flexible substrate.
The first aspect of the present invention discloses a method for producing a bending-resistant thermoelectric thin film, comprising the steps of:
s11, 2,2 '-bis (trifluoromethyl) -4, 4' -biphenyldiamine reacts with hexafluoro dianhydride, 3',4,4' -biphenyltetracarboxylic dianhydride and then reacts with acetic anhydride and triethylamine in a solvent;
s12, precipitating, centrifuging and drying to obtain polyimide;
s13, dissolving the polyimide in a solvent, defoaming in vacuum, casting a glass plate, heating to remove the solvent, and stripping to obtain a film;
s14, preprocessing the film;
s15, sputtering N-type Bi2Te 3.
In some embodiments of the invention, in S11, the solvent is N, N-dimethylformamide.
In some embodiments of the present invention, in S11, the weight ratio of the 2,2 '-bis-trifluoromethyl-4, 4' -biphenyldiamine to the hexafluorodianhydride, the 3,3',4,4' -biphenyltetracarboxylic dianhydride, the acetic anhydride, and the triethylamine is (8.6-9.0): (7.2-7.4): (3.1-3.3): (11.0-11.5): (5.5-5.8), preferably 8.8:7.3:3.2:11.2: 5.6.
In some embodiments of the invention, in S12, the precipitation is a precipitate after mixing with absolute ethanol.
In some embodiments of the present invention, in S13, the polyimide is dissolved in dimethylacetamide, and the weight volume percentage of the polyimide is 0.01% to 0.6%, preferably 0.1% to 0.3%, and more preferably 0.25%.
In some embodiments of the present invention, in S14, the pretreatment is hydrogen peroxide soaking and acetone-absolute ethyl alcohol mixed liquor soaking, and preferably, the volume ratio of the acetone-absolute ethyl alcohol mixed liquor is 1: 1.
In some embodiments of the invention, the sputtering of N-type Bi2Te3 in S15 is performed at room temperature and in a vacuum of less than 5 × 10-4Pa, argon flow of 150-250sccm, argon pressure of 0.6-1.0Pa, DC sputtering power of 10-20W, target-substrate distance of 15-30mm, and deposition time of 0.5-2 h.
In some embodiments of the present invention, in S14, the soaking time T1 of the acetone-absolute ethanol mixed solution is determined by the following method:
Figure BDA0003059842620000031
wherein, a is the time of soaking in hydrogen peroxide and is 10-60min, K is the volume ratio of acetone to absolute ethyl alcohol in the adopted acetone-absolute ethyl alcohol mixed solution, Ki is the volume ratio of acetone to absolute ethyl alcohol in the standard acetone-absolute ethyl alcohol mixed solution and is (0.8-1.2): (0.8-1.2) and b is an adjustment coefficient in
Figure BDA0003059842620000032
When the ratio is 0.8-0.9; in that
Figure BDA0003059842620000033
In this case, the ratio is 1.1-1.2.
In some embodiments of the present invention, S13 further comprises stirring the polyimide dissolved in dimethylacetamide:
s21, taking 20 samples of the dimethylacetamide mixed solution of polyimide with the same concentration, stirring the samples according to a preset stirring time agent with the minimum value within the stirring time range and a fixed interval larger than the minimum value, measuring the viscosity, and recording the viscosity as vectors X1 and X2;
s22, calculating the homogeneity of X1 and X2 by:
Figure BDA0003059842620000034
Figure BDA0003059842620000035
Figure BDA0003059842620000036
Figure BDA0003059842620000041
if both t1 and t2 are greater than-1.35, determining the minimum value in the preset stirring time range as the stirring time;
if one of t1 and t2 is less than-1.35, repeating S21 and S22, stirring the stirring time agent which is one fixed interval and two fixed intervals larger than the minimum value in the preset stirring time range, and measuring the viscosity until t1 and t2 are both more than-1.35.
A second aspect of the present invention is to disclose the bend resistant thermoelectric film produced by the method of the first aspect.
The beneficial technical effects of the invention are as follows:
(1) according to the preparation method of the bending-resistant thermoelectric film, the polyimide film is used as a substrate, and the N-type Bi2Te3 is sputtered by adopting a magnetron sputtering method, so that the obtained thermoelectric film has good thermoelectric performance and bending resistance.
(2) In the exploration of the preparation method of the bending-resistant thermoelectric film, the Seebeck coefficient of the obtained thermoelectric film can be remarkably improved by soaking the polyimide film in hydrogen peroxide and acetone-absolute ethyl alcohol mixed solution before sputtering.
Detailed Description
The embodiments of the present invention are described below with reference to specific embodiments, and other advantages and effects of the present invention will be easily understood by those skilled in the art from the disclosure of the present specification. The invention is capable of other and different embodiments and of being practiced or of being carried out in various ways, and its several details are capable of modification in various respects, all without departing from the spirit and scope of the present invention. The examples and comparative examples were, unless otherwise specified, parallel tests in which the components, the component contents, the production steps, and the production parameters were the same.
Example 1
A preparation method of a bending-resistant thermoelectric film comprises the following steps:
(1) preparation of the substrate:
a, reaction: adding 8.8g of 2,2 '-bis (trifluoromethyl) -4, 4' -biphenyldiamine into 100ml of N, N-dimethylformamide, stirring for dissolving, adding 7.3g of hexafluoro dianhydride and 3.2g of 3,3',4,4' -biphenyltetracarboxylic dianhydride, reacting for 10 hours, adding 11.2g of acetic anhydride and 5.6g of triethylamine, and reacting for 10 hours;
b, separation: adding the reaction solution into 100ml of absolute ethyl alcohol, precipitating, centrifuging and drying;
c, film preparation: preparing a dimethylacetamide solution of polyimide according to the proportion of 0.1% (w/v), defoaming in vacuum, casting a glass plate, heating to remove a solvent, and stripping to obtain a film;
d, pretreatment: soaking the film in hydrogen peroxide for 10min, drying, soaking in acetone-absolute ethyl alcohol mixed solution with the volume ratio of 1:1 for 10min, drying, washing with deionized water for 3 times, and drying;
(2) sputtering N type Bi2Te3
Sputtering is carried out at room temperature and the vacuum degree is less than 5 multiplied by 10-4Pa, argon flow of 200sccm, argon pressure of 0.8Pa, direct-current sputtering power of 15W, target-substrate distance of 20mm, and deposition time of 1 h.
Example 2
A preparation method of a bending-resistant thermoelectric film comprises the following steps:
(1) preparation of the substrate:
a, reaction: adding 8.8g of 2,2 '-bis (trifluoromethyl) -4, 4' -biphenyldiamine into 100ml of N, N-dimethylformamide, stirring for dissolving, adding 7.3g of hexafluoro dianhydride and 3.2g of 3,3',4,4' -biphenyltetracarboxylic dianhydride, reacting for 10 hours, adding 11.2g of acetic anhydride and 5.6g of triethylamine, and reacting for 10 hours;
b, separation: adding the reaction solution into 100ml of absolute ethyl alcohol, precipitating, centrifuging and drying;
c, film preparation: preparing a dimethylacetamide solution of polyimide according to the proportion of 0.2% (w/v), defoaming in vacuum, casting a glass plate, heating to remove a solvent, and stripping to obtain a film;
d, pretreatment: soaking the film in hydrogen peroxide for 10min, drying, soaking in acetone-absolute ethyl alcohol mixed solution with the volume ratio of 1:1 for 10min, drying, washing with deionized water for 3 times, and drying;
(2) sputtering N type Bi2Te3
Sputtering is carried out at room temperature and the vacuum degree is less than 5 multiplied by 10-4Pa, argon flow of 200sccm, argon pressure of 0.8Pa, direct-current sputtering power of 15W, target-substrate distance of 20mm, and deposition time of 1 h.
Example 3
A preparation method of a bending-resistant thermoelectric film comprises the following steps:
(1) preparation of the substrate:
a, reaction: adding 8.8g of 2,2 '-bis (trifluoromethyl) -4, 4' -biphenyldiamine into 100ml of N, N-dimethylformamide, stirring for dissolving, adding 7.3g of hexafluoro dianhydride and 3.2g of 3,3',4,4' -biphenyltetracarboxylic dianhydride, reacting for 10 hours, adding 11.2g of acetic anhydride and 5.6g of triethylamine, and reacting for 10 hours;
b, separation: adding the reaction solution into 100ml of absolute ethyl alcohol, precipitating, centrifuging and drying;
c, film preparation: preparing a dimethylacetamide solution of polyimide according to the proportion of 0.25% (w/v), defoaming in vacuum, casting a glass plate, heating to remove a solvent, and stripping to obtain a film;
d, pretreatment: soaking the film in hydrogen peroxide for 10min, drying, soaking in acetone-absolute ethyl alcohol mixed solution with the volume ratio of 1:1 for 10min, drying, washing with deionized water for 3 times, and drying;
(2) sputtering N type Bi2Te3
Sputtering is carried out at room temperature and the vacuum degree is less than 5 multiplied by 10-4Stream of Pa, argonThe amount of the target material is 200sccm, the argon gas pressure is 0.8Pa, the direct current sputtering power is 15W, the distance between the target material and the substrate is 20mm, and the deposition time is 1 h.
Example 4
A preparation method of a bending-resistant thermoelectric film comprises the following steps:
(1) preparation of the substrate:
a, reaction: adding 8.8g of 2,2 '-bis (trifluoromethyl) -4, 4' -biphenyldiamine into 100ml of N, N-dimethylformamide, stirring for dissolving, adding 7.3g of hexafluoro dianhydride and 3.2g of 3,3',4,4' -biphenyltetracarboxylic dianhydride, reacting for 10 hours, adding 11.2g of acetic anhydride and 5.6g of triethylamine, and reacting for 10 hours;
b, separation: adding the reaction solution into 100ml of absolute ethyl alcohol, precipitating, centrifuging and drying;
c, film preparation: preparing a dimethylacetamide solution of polyimide according to the proportion of 0.3% (w/v), defoaming in vacuum, casting a glass plate, heating to remove a solvent, and stripping to obtain a film;
d, pretreatment: soaking the film in hydrogen peroxide for 10min, drying, soaking in acetone-absolute ethyl alcohol mixed solution with the volume ratio of 1:1 for 10min, drying, washing with deionized water for 3 times, and drying;
(2) sputtering N type Bi2Te3
Sputtering is carried out at room temperature and the vacuum degree is less than 5 multiplied by 10-4Pa, argon flow of 200sccm, argon pressure of 0.8Pa, direct-current sputtering power of 15W, target-substrate distance of 20mm, and deposition time of 1 h.
Example 5
A preparation method of a bending-resistant thermoelectric film comprises the following steps:
(1) preparation of the substrate:
a, reaction: adding 8.8g of 2,2 '-bis (trifluoromethyl) -4, 4' -biphenyldiamine into 100ml of N, N-dimethylformamide, stirring for dissolving, adding 7.3g of hexafluoro dianhydride and 3.2g of 3,3',4,4' -biphenyltetracarboxylic dianhydride, reacting for 10 hours, adding 11.2g of acetic anhydride and 5.6g of triethylamine, and reacting for 10 hours;
b, separation: adding the reaction solution into 100ml of absolute ethyl alcohol, precipitating, centrifuging and drying;
c, film preparation: preparing a dimethylacetamide solution of polyimide according to the proportion of 0.01% (w/v), defoaming in vacuum, casting a glass plate, heating to remove a solvent, and stripping to obtain a film;
d, pretreatment: soaking the film in hydrogen peroxide for 10min, drying, soaking in acetone-absolute ethyl alcohol mixed solution with the volume ratio of 1:1 for 10min, drying, washing with deionized water for 3 times, and drying;
(2) sputtering N type Bi2Te3
Sputtering is carried out at room temperature and the vacuum degree is less than 5 multiplied by 10-4Pa, argon flow of 200sccm, argon pressure of 0.8Pa, direct-current sputtering power of 15W, target-substrate distance of 20mm, and deposition time of 1 h.
Example 6
A preparation method of a bending-resistant thermoelectric film comprises the following steps:
(1) preparation of the substrate:
a, reaction: adding 8.8g of 2,2 '-bis (trifluoromethyl) -4, 4' -biphenyldiamine into 100ml of N, N-dimethylformamide, stirring for dissolving, adding 7.3g of hexafluoro dianhydride and 3.2g of 3,3',4,4' -biphenyltetracarboxylic dianhydride, reacting for 10 hours, adding 11.2g of acetic anhydride and 5.6g of triethylamine, and reacting for 10 hours;
b, separation: adding the reaction solution into 100ml of absolute ethyl alcohol, precipitating, centrifuging and drying;
c, film preparation: preparing a dimethylacetamide solution of polyimide according to the proportion of 0.6% (w/v), defoaming in vacuum, casting a glass plate, heating to remove a solvent, and stripping to obtain a film;
d, pretreatment: soaking the film in hydrogen peroxide for 10min, drying, soaking in acetone-absolute ethyl alcohol mixed solution with the volume ratio of 1:1 for 10min, drying, washing with deionized water for 3 times, and drying;
(2) sputtering N type Bi2Te3
Sputtering is carried out at room temperature and the vacuum degree is less than 5 multiplied by 10-4Pa, argon flow of 200sccm, argon pressure of 0.8Pa, direct-current sputtering power of 15W, target-substrate distance of 20mm, and deposition time of 1 h.
Example 7
A method for manufacturing a bending-resistant thermoelectric film, which is different from example 1 in that, in S14, the time T1 for soaking in the acetone-absolute ethyl alcohol mixed solution is determined by the following method:
Figure BDA0003059842620000091
wherein, a is the time of soaking in hydrogen peroxide and is 10-60min, K is the volume ratio of acetone to absolute ethyl alcohol in the adopted acetone-absolute ethyl alcohol mixed solution, Ki is the volume ratio of acetone to absolute ethyl alcohol in the standard acetone-absolute ethyl alcohol mixed solution and is (0.8-1.2): (0.8-1.2) and b is an adjustment coefficient in
Figure BDA0003059842620000101
When the ratio is 0.8-0.9; in that
Figure BDA0003059842620000102
In this case, the ratio is 1.1-1.2.
In research, the soaking time of the film substrate in the acetone-absolute ethyl alcohol mixed solution is related to the soaking time of hydrogen peroxide and the volume ratio of acetone to absolute ethyl alcohol in the acetone-absolute ethyl alcohol mixed solution. The soaking time of the acetone-absolute ethyl alcohol mixed solution determined by the method of the embodiment can not only effectively pretreat the film substrate, but also prevent the damage to the microstructure on the surface of the film substrate.
Example 8
A method for preparing a bending-resistant thermoelectric film, which is different from example 1 in that, in S13, the method further comprises the step of stirring the polyimide dissolved in dimethylacetamide:
s21, taking 20 samples of the dimethylacetamide mixed solution of polyimide with the same concentration, stirring the samples according to a preset stirring time agent with the minimum value within the stirring time range and a fixed interval larger than the minimum value, measuring the viscosity, and recording the viscosity as vectors X1 and X2;
s22, calculating the homogeneity of X1 and X2 by:
Figure BDA0003059842620000103
Figure BDA0003059842620000104
Figure BDA0003059842620000105
Figure BDA0003059842620000111
if both t1 and t2 are greater than-1.35, determining the minimum value in the preset stirring time range as the stirring time;
if one of t1 and t2 is less than-1.35, repeating S21 and S22, stirring the stirring time agent which is one fixed interval and two fixed intervals larger than the minimum value in the preset stirring time range, and measuring the viscosity until t1 and t2 are both more than-1.35.
The preset stirring time range can be 10-20min under mechanical stirring of 300-500rmp, and the fixed interval can be 30s or 1 min.
In the research, the concentration of the polyimide in the step of dissolving the polyimide in the dimethylacetamide has a significant influence on the thermoelectric effect (Seebeck coefficient) of the obtained thermoelectric thin film. The minimum stirring time at a fixed stirring speed determined by the method of this example ensures sufficient uniformity of the mixed liquid, eliminating inhomogeneities in the thickness of the resulting thin film due to insufficient stirring.
Comparative example 1
A preparation method of a bending-resistant thermoelectric film comprises the following steps:
(1) preparation of the substrate:
a, reaction: adding 8.8g of 2,2 '-bis (trifluoromethyl) -4, 4' -biphenyldiamine into 100ml of N, N-dimethylformamide, stirring for dissolving, adding 7.3g of hexafluoro dianhydride and 3.2g of 3,3',4,4' -biphenyltetracarboxylic dianhydride, reacting for 10 hours, adding 11.2g of acetic anhydride and 5.6g of triethylamine, and reacting for 10 hours;
b, separation: adding the reaction solution into 100ml of absolute ethyl alcohol, precipitating, centrifuging and drying;
c, film preparation: preparing a dimethylacetamide solution of polyimide according to the proportion of 1% (w/v), defoaming in vacuum, casting a glass plate, heating to remove a solvent, and stripping to obtain a film;
d, pretreatment: soaking the film in an acetone-absolute ethyl alcohol mixed solution with the volume ratio of 1:1 for 10min, drying, washing with deionized water for 3 times, and drying;
(2) sputtering N type Bi2Te3
Sputtering is carried out at room temperature and the vacuum degree is less than 5 multiplied by 10-4Pa, argon flow of 200sccm, argon pressure of 0.8Pa, direct-current sputtering power of 15W, target-substrate distance of 20mm, and deposition time of 1 h.
Comparative example 2
A preparation method of a bending-resistant thermoelectric film comprises the following steps:
(1) preparation of the substrate:
a, reaction: adding 8.8g of 2,2 '-bis (trifluoromethyl) -4, 4' -biphenyldiamine into 100ml of N, N-dimethylformamide, stirring for dissolving, adding 7.3g of hexafluoro dianhydride and 3.2g of 3,3',4,4' -biphenyltetracarboxylic dianhydride, reacting for 10 hours, adding 11.2g of acetic anhydride and 5.6g of triethylamine, and reacting for 10 hours;
b, separation: adding the reaction solution into 100ml of absolute ethyl alcohol, precipitating, centrifuging and drying;
c, film preparation: preparing a dimethylacetamide solution of polyimide according to the proportion of 1% (w/v), defoaming in vacuum, casting a glass plate, heating to remove a solvent, and stripping to obtain a film;
d, pretreatment: soaking the film in hydrogen peroxide for 10min, drying, washing with deionized water for 3 times, and drying;
(2) sputtering N type Bi2Te3
Sputtering is carried out at room temperature and the vacuum degree is less than 5 multiplied by 10-4Pa, argon flow of 200sccm, argon pressure of 0.8Pa, direct-current sputtering power of 15W, target-substrate distance of 20mm, and deposition time of 1 h.
Examples of the experiments
The Seebeck coefficient was measured at room temperature using a standard four-stage method for the thermoelectric thin films obtained in examples and comparative examples. The maximum 90 ° number of bends with a change in resistance of less than 15% was examined. The results are shown in Table 1.
TABLE 1 Seebeck coefficient of thermoelectric film
Seebeck coefficient/uVK-1 Maximum number of bends
Example 1 1.21d 96a
Example 2 1.48e 102b
Example 3 1.53f 106b
Example 4 1.19d 107b
Example 5 1.09 c 92a
Example 6 1.12c 114c
Comparison ofExample 1 0.92 b 98a
Comparative example 2 0.64 a 95a
In the same column of data, the marked different lower case letters indicate that the difference is significant, and P is less than 0.05
While the preferred embodiments and examples of the present invention have been described in detail, the present invention is not limited to the embodiments and examples, and various changes can be made without departing from the spirit of the present invention within the knowledge of those skilled in the art.

Claims (8)

1. A preparation method of a bending-resistant thermoelectric film is characterized by comprising the following steps:
s11, 2,2 '-bis (trifluoromethyl) -4, 4' -biphenyldiamine reacts with hexafluoro dianhydride, 3',4,4' -biphenyltetracarboxylic dianhydride and then reacts with acetic anhydride and triethylamine in a solvent;
s12, precipitating, centrifuging and drying to obtain polyimide;
s13, dissolving the polyimide in a solvent, defoaming in vacuum, casting a glass plate, heating to remove the solvent, and stripping to obtain a film;
s14, preprocessing the film;
s15, sputtering N-type Bi2Te 3;
wherein the pretreatment comprises hydrogen peroxide soaking and acetone-absolute ethyl alcohol mixed liquor soaking, and the volume ratio of the acetone-absolute ethyl alcohol mixed liquor is 1: 1.
2. The method according to claim 1, wherein the solvent in S11 is N, N-dimethylformamide.
3. The method of claim 1, wherein in S11, the weight ratio of 2,2 '-bistrifluoromethyl-4, 4' -biphenyldiamine to hexafluorodianhydride, 3',4,4' -biphenyltetracarboxylic dianhydride, acetic anhydride, and triethylamine is (8.6-9.0): (7.2-7.4): (3.1-3.3): (11.0-11.5): (5.5-5.8).
4. The method according to claim 1, wherein in S12, the precipitation is carried out by mixing with absolute ethanol.
5. The method according to claim 1, wherein in S13, the polyimide is dissolved in dimethylacetamide, and the weight volume percentage of the polyimide is 0.01-0.6%.
6. The method of claim 1, wherein the sputtering of N-type Bi2Te3 in S15 is performed at room temperature and vacuum degree of less than 5 x 10-4Pa, argon flow of 150-250sccm, argon pressure of 0.6-1.0Pa, DC sputtering power of 10-20W, target-substrate distance of 15-30mm, and deposition time of 0.5-2 h.
7. The method of claim 1, wherein in S14, the soaking time T1 of the acetone-absolute ethanol mixture is determined by the following method:
Figure FDA0003358252430000021
wherein, a is the time of soaking in the hydrogen peroxide and is 10-60min, K is the volume ratio of acetone to absolute ethyl alcohol in the adopted acetone-absolute ethyl alcohol mixed solution, Ki is the volume ratio of acetone to absolute ethyl alcohol in the standard acetone-absolute ethyl alcohol mixed solution and is (0.8-1.2) to (0.8-1.2), b is an adjusting coefficient, and
Figure FDA0003358252430000022
when it is 0.8-0.9; in that
Figure FDA0003358252430000023
In this case, the ratio is 1.1-1.2.
8. The method as claimed in claim 1, wherein the step of stirring the polyimide dissolved in dimethylacetamide is further included in S13:
s21, taking 20 samples of the dimethylacetamide mixed solution of polyimide with the same concentration, stirring the samples according to a preset stirring time agent with the minimum value within the stirring time range and a fixed interval larger than the minimum value, measuring the viscosity, and recording the viscosity as vectors X1 and X2;
s22, calculating the homogeneity of X1 and X2 by:
Figure FDA0003358252430000031
Figure FDA0003358252430000032
Figure FDA0003358252430000033
Figure FDA0003358252430000034
if both t1 and t2 are greater than-1.35, determining the minimum value in the preset stirring time range as the stirring time;
if one of t1 and t2 is less than-1.35, repeating S21 and S22, stirring the stirring time agent which is one fixed interval and two fixed intervals larger than the minimum value in the preset stirring time range, and measuring the viscosity until t1 and t2 are both more than-1.35.
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