JP2009079178A - Device, program and method for formulating relation, recording medium, concentration calculation device and method for controlling viscosity - Google Patents

Abstract

<P>PROBLEM TO BE SOLVED: To formulate a relational expression for calculating the concentration at which a polymeric compound solution achieves a target viscosity from molecular weight of the polymeric compound. <P>SOLUTION: A computing device 1 acquires combined data of the concentration and the corresponding molecular weight of the polymeric compound, at which the polymeric compound solution achieves the target viscosity, from a first memory part 6, calculates parameters in a model formula representing a relation between the concentration and the molecular weight of the polymeric compound (i) by solving simultaneous equations set up by substituting the combined data of the concentration and the corresponding molecular weight into the model formula or (ii) by performing a regression computation based on the combined data of the concentration and the corresponding molecular weight and formulating the relation between the concentration and the molecular weight of the polymeric compound at which the polymeric compound solution achieves the target viscosity. By using the concentration calculated thereby, the viscosity of the polymeric compound solution can be easily controlled. <P>COPYRIGHT: (C)2009,JPO&INPIT

Description

  The present invention relates to a relational expression creating apparatus, a relational expression creating program, and a recording medium for creating a relational expression showing the relationship between the concentration and molecular weight of the polymer compound when the viscosity of the solution of the polymer compound becomes a target viscosity. The present invention relates to a relational expression creation method, a concentration calculation apparatus and a viscosity adjustment method using the relational expression.

  When a solution of a polymer compound is used for printing by an inkjet method or coating by a coating method, it is necessary to adjust the viscosity of the solution. This is because the viscosity of the solution has a great influence on the injection accuracy of the ink jet and the coating conditions.

  In general, the viscosity of a polymer compound solution is adjusted by adjusting the concentration of the solution. Therefore, in order to adjust the viscosity of the solution to the target viscosity, it is necessary to calculate the concentration at which the target viscosity is reached.

  Conventionally, the calculation of the concentration when the solution of the polymer compound has a target viscosity has been performed using the following formula (1).

η = Ae ^BC (1)
(Η is the viscosity, C is the concentration of the polymer compound, and A and B are constants.)
Is known (see, for example, Non-Patent Document 1).

  The above mathematical formula (1) is a relational expression showing the relationship between the concentration and the viscosity when the molecular weight of the polymer compound is constant. In order to calculate the concentration when the solution of the polymer compound reaches the target viscosity using the above formula (1), specifically, the following is performed.

  First, a polymer compound is synthesized, a plurality of solutions of the polymer compound having different concentrations are manufactured, and the viscosity of each solution is measured. Next, the constants A and B in the above formula (1) are calculated from the combination of the concentration and the viscosity. Then, the concentration C is calculated by substituting the target viscosity value into the viscosity η.

As described above, after calculating the concentration at which the polymer compound solution has the target viscosity, the polymer compound solution is adjusted to the target viscosity by producing a solution having the concentration.
TEMPLE. C. PATTON, written by Kenji Ueki, “Paint Flow and Pigment Dispersion”, Kyoritsu Shuppan 1971 67-83

  However, the conventional viscosity adjusting method has a problem that it is not simple. The reason will be specifically described.

  The polymer compound has a different molecular weight every time it is synthesized. The viscosity of the polymer compound solution is greatly influenced by the molecular weight. Therefore, even if the same kind of polymer compound and solvent are used, if the molecular weight of the polymer compound is different, the concentration of the solution at the target viscosity will be different. In particular, the higher the molecular weight, the greater the influence of molecular weight on the viscosity of the solution. Therefore, in the case of a polymer compound having a large molecular weight, the concentration of the solution when the viscosity becomes the target viscosity is greatly different even if the difference in the molecular weight of the polymer compound obtained every synthesis is slight.

  Also, the above mathematical formula (1) is a formula that is established when the molecular weight is constant. Therefore, in order to adjust the viscosity using the above formula (1), each time the polymer compound is synthesized, the constants A and B of the formula (1) are calculated for each polymer compound, and the viscosity and It is necessary to create a relational expression with concentration.

  Therefore, in the viscosity adjusting method using the above formula (1), a large amount of calculation work is required. In this case, every time a polymer compound is synthesized, it is necessary to prepare a relational expression between viscosity and concentration and then manufacture a solution with a target viscosity. Therefore, it is possible to easily adjust the viscosity of the polymer compound solution. Can not.

In addition, following numerical formula (2) as a numerical formula showing the molecular weight of a high molecular compound, and the intrinsic viscosity of the said high molecular compound
[Η] = KMw ^γ (2)
([Η] is the intrinsic viscosity, Mw is the molecular weight of the polymer compound, and K and γ are constants.)
Is known (see, for example, Non-Patent Document 1). However, [η] (intrinsic viscosity) is a viscosity when the polymer compound is not dissolved in the solvent, and is completely different from the viscosity of the solution of the polymer compound. Therefore, it is difficult to derive a relational expression between the molecular weight of the polymer compound and the viscosity of the solution of the polymer compound from the above formulas (1) and (2).

  The present invention has been made in view of the above-described problems, and the purpose thereof is a relational expression that can create a relational expression between a concentration and a molecular weight when the viscosity of a solution of a polymer compound becomes a target viscosity. To provide a creation device, a relational expression creation program, a recording medium, and a relational expression creation method. It is another object of the present invention to provide a concentration calculation apparatus capable of calculating a concentration for producing a solution having a target viscosity using the relational expression. As a result, it is providing the viscosity adjustment method which makes the viscosity adjustment of a high molecular compound easy.

  In order to solve the above problems, the relational expression creating apparatus according to the present invention acquires a combination of the concentration and molecular weight of the polymer compound when the viscosity of the solution of the polymer compound reaches the target viscosity, The parameters of the model equation indicating the relationship between the concentration of the molecular compound and the molecular weight are: (i) by solving a simultaneous equation in which the combination of the concentration and molecular weight is substituted into the model equation, or (ii) the concentration and molecular weight A relational expression creating means for determining a relational expression indicating a relation between a concentration and a molecular weight of the polymer compound when the viscosity of the polymer compound solution becomes a target viscosity, calculated by executing a regression calculation based on the combination It is characterized by having.

  Further, the relational expression creating method according to the present invention is a relational expression creating method for determining a relational expression indicating a relation between the concentration of the high molecular compound and the molecular weight when the viscosity of the solution of the high molecular compound reaches the target viscosity. The acquisition step of acquiring the combination of the concentration and molecular weight of the polymer compound when the viscosity of the polymer compound solution becomes the target viscosity, and the polymer when the viscosity of the polymer compound solution becomes the target viscosity The parameter of the model formula indicating the relationship between the concentration of the compound and the molecular weight is either (i) by solving a simultaneous equation in which the combination of the acquired concentration and molecular weight is substituted into the model formula, or (ii) the acquired concentration And a relational expression creating step for determining the relational expression by executing a regression calculation based on a combination of molecular weights.

  Conventionally, the relational expression between the viscosity and the concentration as in the above formula (1) used for viscosity adjustment cannot be used if the molecular weight is different. Therefore, each time a polymer compound having a different molecular weight is synthesized, It was necessary to calculate the constants A and B in the mathematical formula (1) to create a relational expression between the target viscosity and the concentration.

  According to said structure, the relational expression which shows the relationship between the density | concentration of the said high molecular compound and molecular weight when the viscosity of the solution of a high molecular compound becomes target viscosity can be created. If the molecular weight of the polymer compound is substituted into this relational expression, the concentration at which the viscosity of the solution becomes the target viscosity can be easily calculated.

  That is, the molecular weight of the synthesized polymer compound is measured, and the concentration at which the viscosity of the solution of the polymer compound becomes the target viscosity can be calculated simply based on the relational expression created by the relational expression creating means and the molecular weight. Can be calculated.

  Therefore, each time a high molecular compound having a different molecular weight is synthesized, it is not necessary to perform a large amount of calculation work of calculating the constants A and B in the above formula (1), and the concentration at which the target viscosity is obtained is calculated. The calculation work can be reduced.

  Accordingly, the viscosity of the polymer compound can be easily adjusted.

Furthermore, in the relational expression creating apparatus according to the present invention, the model formula is expressed by the following formula (3):
C = αlnMw + β (3)
(Where C is the concentration (% by weight) of the polymer compound when the solution viscosity reaches the target viscosity, Mw is the molecular weight of the polymer compound, and α and β are the parameters.)
It is more preferable that it is a numerical formula represented.

  By using the above model formula, it is possible to obtain a relational expression having a very high correlation with the concentration and molecular weight of the polymer compound when the viscosity of the polymer compound solution becomes the target viscosity. Therefore, the viscosity can be adjusted accurately.

  In addition, the concentration calculation apparatus according to the present invention acquires from the storage device a relational expression between the molecular weight and the concentration of the polymer compound when the viscosity of the polymer compound solution reaches the target viscosity, and the relational expression and the solution And a concentration calculating means for calculating a concentration for making the viscosity of the solution of the polymer compound the above target viscosity from the molecular weight of the polymer compound to be used for the production.

  According to said structure, the user can obtain the density | concentration of the said high molecular compound when the viscosity of a solution turns into target viscosity only by inputting the molecular weight of the high molecular compound with which manufacture of a solution is provided, for example.

  Accordingly, the viscosity of the polymer compound can be easily adjusted.

  Further, the viscosity adjusting method according to the present invention is a viscosity adjusting method for obtaining a solution having a target viscosity by dissolving the polymer compound, and the molecular weight and concentration of the polymer compound when the viscosity of the solution becomes the target viscosity. Is applied to the molecular weight of the polymer compound used for the production of the solution, the concentration calculation step for calculating the concentration when the viscosity of the solution of the polymer compound used for the production becomes the target viscosity, and the concentration And a solution production step of producing a solution of the polymer compound used for the production at the concentration calculated in the calculation step.

  According to said structure, only the calculation based on the said relational expression and molecular weight can calculate the density | concentration of the said high molecular compound when the viscosity of a solution turns into target viscosity. Therefore, it is not necessary to create a relational expression between the viscosity and the concentration as in the above formula (1) every time the polymer compound is synthesized, and the calculation work for calculating the concentration at the target viscosity is reduced. be able to. Accordingly, the viscosity of the polymer compound can be easily adjusted.

  The relational expression creating apparatus and the concentration calculating apparatus may be realized by a computer. In this case, each means of the relational expression creating apparatus and the concentration calculating apparatus is operated by a computer. And a computer-readable recording medium on which the program is recorded fall within the scope of the present invention.

  As described above, the relational expression creating apparatus according to the present invention acquires a combination of the concentration and molecular weight of the polymer compound when the viscosity of the solution of the polymer compound reaches the target viscosity from the storage device. The parameters of the model equation indicating the relationship between the concentration and the molecular weight are either (i) by solving a simultaneous equation in which the combination of the concentration and the molecular weight is substituted into the model equation, or (ii) based on the combination of the concentration and the molecular weight. And a relational expression creating means for determining a relational expression indicating the relation between the concentration of the polymer compound and the molecular weight when the viscosity of the polymer compound solution reaches the target viscosity. Yes.

  Further, the relational expression creating method according to the present invention is a relational expression creating method for determining a relational expression showing a relation between the concentration of the high molecular compound and the molecular weight when the viscosity of the solution of the high molecular compound becomes the target viscosity. The acquisition step of acquiring the combination of the concentration and molecular weight of the polymer compound when the viscosity of the polymer compound solution becomes the target viscosity, and the polymer when the viscosity of the polymer compound solution becomes the target viscosity The parameter of the model formula indicating the relationship between the concentration of the compound and the molecular weight is either (i) by solving a simultaneous equation in which the combination of the acquired concentration and molecular weight is substituted into the model formula, or (ii) the acquired concentration And a relational expression creating step for determining the relational expression by executing a regression calculation based on the combination of molecular weights.

  Therefore, the molecular weight of the synthesized polymer compound is measured, and the concentration at which the viscosity of the solution of the polymer compound becomes the target viscosity can be calculated only by the relational expression created by the relational expression creating means and the molecular weight. Can be calculated. Therefore, each time a high molecular compound having a different molecular weight is synthesized, it is not necessary to perform a large amount of calculation work of calculating the constants A and B in the above formula (1), and the concentration at which the target viscosity is obtained is calculated. The calculation work can be reduced.

  Therefore, there is an effect that the viscosity of the polymer compound can be easily adjusted.

  One embodiment of the present invention is described below with reference to FIGS. In the present embodiment, there is only one kind of polymer compound and solvent, the target viscosity is set to one value, and the viscosity of the polymer compound solution when the viscosity of the polymer compound solution becomes the target viscosity. A case where one relational expression between molecular weight and concentration (hereinafter referred to as “viscosity adjustment relational expression” for convenience of description) is created will be described.

  First, the configuration of a calculation apparatus 1 which is an embodiment of a relational expression creating apparatus and a concentration calculation apparatus according to the present invention will be described with reference to FIG. FIG. 1 is a block diagram showing a schematic configuration of a calculation device (relational expression creation device, concentration calculation device) 1.

  The calculation device 1 creates a viscosity adjustment relational expression, and calculates the concentration at which the polymer solution having the inputted molecular weight reaches the target viscosity from the molecular weight and the viscosity adjustment relational expression. It has a function.

  In this specification, the “target viscosity” is a viscosity value set by the user depending on the use of the polymer compound solution. In the calculation device 1 described later, the case where the user manually inputs the target viscosity will be described. However, the target viscosity is stored in a device different from the calculation device 1 such as a solution manufacturing device, and the calculation device 1 May be configured to read the target viscosity from the apparatus. In addition, the target viscosity calculated by the computer or the like from conditions other than the target viscosity set by the user, for example, the injection accuracy conditions of the ink jet, etc. is also within the range of the viscosity set by the user, that is, the target viscosity described in this specification. And

  As shown in FIG. 1, the calculation device 1 includes an interface unit 2 and a calculation processing unit 3.

  The interface unit 2 receives a user operation input and transmits it to the calculation processing unit 3, and displays a calculation result output from the calculation processing unit 3. The interface unit 2 includes a display unit 4 and an operation input unit 5. The interface unit 2 may include a printing unit for printing the calculation result.

  The display unit 4 displays the viscosity adjustment relational expression between the molecular weight and the concentration output from the calculation processing unit 3 and the concentration for obtaining a polymer compound solution having a target viscosity.

  The operation input unit 5 is used by the user to input data, and is also used to output the input data to the calculation processing unit 3. The data input by the user includes the combination of concentration and molecular weight when the viscosity of the solution reaches the target viscosity in the step of creating the viscosity adjustment relational expression, and in the step of calculating the concentration, The molecular weight of the high molecular compound used for manufacture is mentioned.

  Further, the data input means of the operation input unit 5 is not particularly limited as long as the user can input the above-mentioned data, and can be constituted by, for example, an input key, a touch panel, a mouse, or the like. .

  The calculation processing unit 3 receives data output from the interface unit 2, performs processing such as regression calculation described later based on the data, and outputs a result of the processing to the interface unit 2. The calculation processing unit 3 includes a first storage unit (storage device) 6, a relational expression creation unit (relational expression creation unit) 7, a second storage unit (storage device) 8, and a concentration calculation unit (concentration calculation unit) 9. Yes.

  The first storage unit 6 is for storing a combination of concentration and molecular weight output from the operation input unit 5. The configuration of the first storage unit 6 is not particularly limited as long as data such as the combination can be stored. For example, the first storage unit 6 may be configured by a RAM (random access memory) or an HDD (hard disk drive). Further, although the first storage unit 6 is built in the computing device 1, an external storage device may be used.

  The relational expression creating unit 7 creates a viscosity adjusting relational expression from the above combinations stored in the first storage unit 6. The process performed by the relational expression creating unit 7 to create the relational expression for viscosity adjustment will be described later. The relational expression creating unit 7 also outputs the created viscosity adjustment relational expression to the second storage unit 8.

  The second storage unit 8 stores the viscosity adjustment relational expression output from the relational expression creating unit 7. Further, the viscosity adjusting relational expression is output to the concentration calculating section 9. The configuration of the second storage unit 8 is not particularly limited as long as the above-described viscosity adjusting relational expression can be stored. For example, the second storage unit 8 may be configured by a RAM or an HDD, for example. In the case of using the RAM, every time the computing device 1 is used, the user inputs a model formula and the RAM stores the model formula. Moreover, although this Embodiment demonstrates the case where the 1st memory | storage part 6 and the 2nd memory | storage part 8 are each comprised by a separate member, it is not limited to this, You may comprise by the same member. . For example, the same RAM or HDD may have both functions of the first storage unit 6 and the second storage unit 8. In the present embodiment, the second storage unit 8 is built in the computing device 1, but an external storage device may be used.

  The concentration calculation unit 9 applies the molecular weight output from the operation input unit 5 to the viscosity adjustment relational expression stored in the second storage unit 8 so that the viscosity of the polymer compound solution having the molecular weight is equal to the target viscosity. The concentration at which The process in which the density calculation unit 9 calculates the density will be described later.

  Next, a process for calculating the concentration when the viscosity of the solution of the polymer compound becomes the target viscosity using the calculation device 1 will be described.

  First, the user inputs at least two or more combinations of concentration and molecular weight when the viscosity of the solution reaches the target viscosity to the operation input unit 5. As will be described later, since the relational expression creating unit 7 calculates a solution of simultaneous equations or performs a regression calculation, the number of the combinations to be input may be plural. Further, the number of the above combinations to be input is not limited as long as it is plural, but may be appropriately changed in order to improve the accuracy of the viscosity adjusting relational expression. The above combination to be input is preferable because the prediction accuracy of the viscosity is improved if the number is large, but considering complexity, 2 to 10 sets, preferably about 3 to 5 sets are input.

  In addition, what is necessary is just to obtain the combination of a density | concentration and molecular weight when the viscosity of a solution turns into target viscosity by a conventionally well-known method. For example, the molecular weight of the polymer compound may be measured with a conventionally known molecular weight measuring instrument or the like. In addition, as the concentration when the polymer solution of the molecular weight reaches the target viscosity, if the solution of the polymer compound is produced at an appropriate concentration and a solution of the target viscosity is obtained, the value of the concentration is set. Use it. If a solution having the target viscosity is not obtained, A and B in the above formula (1) are calculated for the polymer compound, and a relational expression between the concentration and the viscosity is created. Then, the concentration may be calculated by substituting the target viscosity value into the relational expression.

  The combination of concentration and molecular weight input to the operation input unit 5 is output to the first storage unit 6. In the 1st memory | storage part 6, it memorize | stores, for example like FIG. FIG. 2 is a diagram illustrating an example of a data structure of a combination of concentration and molecular weight stored in the first storage unit 6. As shown in FIG. 2, the first storage unit 6 stores data indicating a combination of a molecular weight and a concentration at which the polymer compound solution having the molecular weight has a target viscosity.

  Next, the relational expression creating unit 7 acquires data indicating the combination of molecular weight and concentration stored in the first storage unit 6 and creates a relational expression for viscosity adjustment based on the obtained data. The process of creating the viscosity adjustment relational expression by the relational expression creating unit 7 will be described with reference to FIG. FIG. 3 is a flowchart illustrating an example of a processing flow by the relational expression creating unit 7.

As shown in FIG. 3, the relational expression creating unit 7 first determines the number of data indicating a combination of molecular weight and concentration that can be acquired from the first storage unit 6 (S1). If two or more sets can be acquired, the two or more sets of data are acquired from the first storage unit 6 (S2), and the data and the following mathematical formula (3)
C = αlnMw + β (3)
(Where C is the concentration (% by weight) of the polymer compound when the solution viscosity reaches the target viscosity, Mw is the molecular weight of the polymer compound, and α and β are the parameters.)
Based on the above, regression calculation is performed to calculate the values of parameters α and β (S3).

  The relational expression creating unit 7 creates a viscosity adjusting relational expression by calculating the values of the parameters α and β. After creating the viscosity adjustment relational expression, the relational expression creating unit 7 outputs the viscosity adjustment relational expression to the display unit 4 and the second storage unit 8 (S4). Accordingly, the display unit 4 displays the viscosity adjustment relational expression, and the second storage unit 8 stores the viscosity adjustment relational expression.

Note that the calculation device according to the present invention is not limited to the configuration for performing the regression calculation processing as described herein, and may be configured to calculate α and β by solving simultaneous equations or the above steps. It may be configured to select whether to perform regression calculation processing or to use simultaneous equations according to the number of data combinations that can be acquired determined in S1. The case where simultaneous equations are used will be described as follows. For example, when creating a viscosity adjustment relational expression based on the data shown in FIG. 2, the simultaneous equations are solved by substituting the concentration and molecular weight into the above equation (3), and α = −1.8749, β = 12.694. As a result, the following formula (4)
C = −1.8749lnMw + 12.694 (4)
Create a viscosity adjustment relational expression shown in.

  In the present embodiment, the above mathematical formula (3) is used as a model formula, but the model formula for creating the viscosity adjustment relational formula is not limited to this. For example, the following formulas (5) to (7) can also be used as model formulas.

C = aMw ³ + bMw ² + cMw + d (5)
C = ae−bMw (6)
C = aMw−b (7)
(However, in the above formulas (5) to (7), C is the concentration (% by weight) of the polymer compound when the viscosity of the solution reaches the target viscosity, and Mw is the molecular weight of the polymer compound. , A, b, c and d are parameters.)
Moreover, it is preferable to create one relational formula for viscosity adjustment with respect to a combination of one kind of polymer compound and a solvent, but when there are a plurality of kinds of solvents and the polymer compound is dissolved, If the solvents are known to have viscosities close to each other in advance, it is possible to apply the viscosity adjustment relational formula created for one polymer compound and solvent to the other polymer compound and solvent. It is.

  In this way, the relational expression creating unit 7 creates a viscosity adjustment relational expression.

  Further, as described above, the second storage unit 8 stores the viscosity adjusting relational expression created by the relational expression creating unit 7. Specifically, the second storage unit 8 uses, for example, the mathematical formula (4) created by the relational formula creation unit 7 by substituting the values of the parameters α and β into the mathematical formula (3). The viscosity adjustment relational equation) is stored.

  After the second storage unit 8 stores the viscosity adjustment relational expression, the concentration at which the viscosity of the polymer compound solution becomes the target viscosity can be calculated. For this calculation, the user first inputs the molecular weight of the polymer compound used for manufacturing the solution to the operation input unit 5. The operation input unit 5 outputs the input molecular weight to the concentration calculation unit 9.

  Based on the molecular weight output from the operation input unit 5, the concentration calculation unit 9 calculates the concentration at which the viscosity of the solution of the polymer compound having the molecular weight becomes the target viscosity. The density calculation process by the density calculator 9 will be described with reference to FIG. FIG. 4 is a flowchart illustrating an example of a processing flow by the density calculation unit 9.

  As shown in FIG. 4, first, the concentration calculation unit 9 determines whether or not a molecular weight has been input from the operation input unit 5 (S11). If there is an input of molecular weight (YES in S11), the concentration calculation unit 9 determines whether it is possible to acquire a viscosity adjustment relational expression from the second storage unit 8 (S12).

  If the viscosity adjustment relational expression can be acquired (YES in S12), the concentration calculation unit 9 acquires the viscosity adjustment relational expression (S13). Specifically, the second storage unit 8 stores mathematical formulas in which numerical values are substituted for the parameters α and β of the mathematical formula (3) as described above. And the density | concentration calculation part 9 acquires the said numerical formula (relational expression for viscosity adjustment).

  Then, the concentration calculating unit 9 calculates the concentration by substituting the molecular weight input from the operation input unit 5 into the molecular weight Mw in the viscosity adjusting relational expression (S14). For example, when the user inputs 420,000 as the molecular weight to the operation input unit 5, in S14, this value is substituted into the above equation (4) to calculate the concentration of 1.37% by weight. Next, the density calculation unit 9 outputs the calculated density to the display unit 4 (S15). The display unit 4 displays this value. Similarly, if the user inputs 380,000 to the operation input unit 5, the display unit 4 displays 1.56% by weight, and if 350,000 is input, displays 1.71% by weight. Thus, the user can obtain the concentration at which the viscosity of the polymer compound solution becomes the target viscosity by inputting the molecular weight.

  After obtaining the concentration at which the viscosity of the polymer compound solution becomes the target viscosity, the polymer compound may be dissolved in a solvent by a conventionally known method to produce a solution.

  The polymer compound solution thus prepared to have a desired viscosity is coated on a substrate and then dried to obtain a polymer compound film. Examples of the application method include spin coating, casting, micro gravure coating, gravure coating, bar coating, roll coating, wire bar coating, dip coating, spray coating, screen printing, flexographic printing. Examples thereof include a method such as a method, an offset printing method, and an ink jet printing method.

  As described above, the viscosity adjustment relational expression, and thus the concentration for setting the polymer compound solution as the target viscosity, can be calculated to produce a polymer compound solution having the target viscosity. That is, the present invention also provides a viscosity adjusting method capable of easily producing a solution of a polymer compound having a desired target viscosity.

  The viscosity adjusting method according to the present invention is a viscosity adjusting method for obtaining a solution having a target viscosity by dissolving a polymer compound. The relationship between the molecular weight and the concentration of the polymer compound when the viscosity of the solution becomes the target viscosity. By applying the molecular weight of the polymer compound used for the production of the solution to the formula, the concentration calculation step for calculating the concentration when the viscosity of the solution of the polymer compound used for the production becomes the target viscosity, and the concentration calculation step And a solution manufacturing step of manufacturing a solution of the polymer compound having the known molecular weight with the concentration calculated in (1).

  In the concentration calculation step, the concentration may be calculated using the relational expression creation device and the concentration calculation device according to the present invention as in the calculation device 1 described above. For example, the concentration calculator of the concentration calculator applies a known molecular weight to the relational expression between the molecular weight and the concentration of the polymer compound when the viscosity of the solution reaches the target viscosity, and the polymer having the known molecular weight is applied. It may be a step of calculating the concentration at which the compound solution has the above target viscosity. Further, in the solution manufacturing step, a polymer compound solution may be manufactured based on the concentration by a conventionally known method as described above. By the concentration calculation step and the solution manufacturing step, the viscosity of the polymer compound solution can be easily set as the target viscosity.

  Note that in the calculation apparatus 1 according to the present embodiment, the relational expression creating unit 7 and the concentration calculation unit 9 are configured in one apparatus. However, the configuration of the relational expression creating device and the concentration calculating device according to the present invention is not limited to this. That is, the relational expression creating unit 7 and the concentration calculating part 9 configured as separate apparatuses are one embodiment of the relational expression creating apparatus and the concentration calculating apparatus of the present invention, respectively.

  In the present embodiment, there is one type of the polymer compound and the solvent, the target viscosity is set to one value, and one relational expression for viscosity adjustment is created. However, the present invention is limited to this. Is not to be done. The calculation device 1 stores a plurality of viscosity adjustment relational expressions in association with the target viscosity, the type of polymer compound, and the type of solvent, and according to the target viscosity, the type of polymer compound, and the type of solvent, The concentration can be calculated by selecting the viscosity adjustment relational expression. For the sake of simplicity, “target viscosity, type of polymer compound and type of solvent” will be simply referred to as “target viscosity etc.” hereinafter.

  In this case, each member may be configured as follows. First, in the step of creating the viscosity adjustment relational expression, the operation input unit 5 may be configured to input the target viscosity and the like in association with the combination together with the combination of the molecular weight and the concentration. In the step of calculating the concentration, the target viscosity or the like may be input in association with the molecular weight together with the molecular weight of the polymer compound used for the production of the solution. The first storage unit 6 stores the stored combination of concentration and molecular weight in association with the target viscosity, and stores the combination of concentration and molecular weight in the relational expression creating unit 7 in a state associated with the target viscosity. Just output. The relational expression creating unit 7 may output the created viscosity adjustment relational expression to the second storage unit 8 in association with the target viscosity or the like. The second storage unit 8 may store each viscosity adjusting relational expression in association with the target viscosity or the like. The concentration calculation unit 9 may be configured to obtain the viscosity adjustment relational expression corresponding to the target viscosity and the like output from the operation input unit 5 from the second storage unit 8 and calculate the concentration.

  The type of the polymer compound that can be used to create the viscosity adjustment relational expression and calculate the concentration by the calculation device 1 is not particularly limited. For example, polyethylene, polypropylene, polystyrene, (meta ) Olefin resins such as acrylic resin, acrylonitrile-butadiene-styrene resin (ABS), polyacrylonitrile, polyvinyl chloride, polysulfone, polyethersulfone, polyallylsulfone, polyamide, polyimide, polyamideimide, polyetherimide, polyetherether Various polymer compounds such as cellulose, triacetyl cellulose, engineering plastics such as ketone, polyethylene terephthalate, polyester and polyether can be applied. In addition, a solvent for dissolving the polymer compound may be appropriately selected according to the type and use of the polymer compound.

  In addition, each block of the calculation apparatus 1, particularly the relational expression creating unit 7 and the density calculating unit 9 may be configured by hardware logic, or may be realized by software using a CPU as follows.

  That is, the computing device 1 includes a central processing unit (CPU) that executes instructions of a control program that realizes each function, a ROM that stores the program, a RAM that expands the program, a memory that stores the program and various data, and the like Storage device (recording medium). An object of the present invention is to provide a recording medium in which a program code (execution format program, intermediate code program, source program) of a control program of the computing device 1 which is software that realizes the above-described functions is recorded so as to be readable by a computer. This can also be achieved by supplying the computer 1 and reading and executing the program code recorded on the recording medium by the computer (or CPU or MPU).

  Examples of the recording medium include a tape system such as a magnetic tape and a cassette tape, a magnetic disk such as a floppy (registered trademark) disk / hard disk, and an optical disk such as a CD-ROM / MO / MD / DVD / CD-R. Card system such as IC card, IC card (including memory card) / optical card, or semiconductor memory system such as mask ROM / EPROM / EEPROM / flash ROM.

  The computing device 1 may be configured to be connectable to a communication network, and the program code may be supplied via the communication network. The communication network is not particularly limited. For example, the Internet, intranet, extranet, LAN, ISDN, VAN, CATV communication network, virtual private network, telephone line network, mobile communication network, satellite communication. A net or the like is available. Also, the transmission medium constituting the communication network is not particularly limited. For example, even in the case of wired such as IEEE 1394, USB, power line carrier, cable TV line, telephone line, ADSL line, etc., infrared rays such as IrDA and remote control, Bluetooth ( (Registered trademark), 802.11 wireless, HDR, mobile phone network, satellite line, terrestrial digital network, and the like can also be used. The present invention can also be realized in the form of a computer data signal embedded in a carrier wave in which the program code is embodied by electronic transmission.

  Examples will be shown below, and the embodiments of the present invention will be described in more detail.

[Example 1]
(Target polymer compound and solvent)
In this example, polyethersulfone (hereinafter referred to as “PES”) was used as the polymer compound, and 1-methyl-2-pyrrolidone (hereinafter referred to as “NMP”) was used as the solvent.

As the PES, a powder grade of Sumika Excel PES (manufactured by Sumitomo Chemical) was used. Hereinafter, the PES obtained in each manufacture is described by attaching numbers 1 to 4 to “lots” in the first embodiment.
(Measurement method of molecular weight and viscosity)
The molecular weight of PES was measured by gel permeation chromatograph (GPC). The CPS measurement conditions are as follows.
GPC measuring device: Prominence GPC system column manufactured by Shimadzu Corporation: TSKgel GMH _HR- M manufactured by TOSOH
Column temperature: 40 ° C
Mobile phase solvent: DMF (LiBr added to 10 mmol / dm ³ )
Solvent flow rate: 0.5 mL / min
(Creation of viscosity adjustment relation)
First, the molecular weight of PES in lots 1 to 4 was measured. Moreover, each PES was melt | dissolved in NMP, the solution was produced, and the viscosity of the said solution was measured. Furthermore, A and B of the above formula (1) in the PES of each lot were calculated from the obtained molecular weight and viscosity. The results are shown in Table 1 below.

  Next, Table 2 shows the theoretical value of the viscosity in the concentration of PES in each lot, calculated from the relational expression between the obtained viscosity and the concentration.

  FIG. 5 shows a diagram in which A and B calculated for each lot are substituted into the above equation (1) and plotted on the graph. FIG. 5 is a graph showing the relationship between PES concentration and molecular weight when the molecular weight is constant. In FIG. 5, the vertical axis indicates the viscosity (mPa · s), the horizontal axis indicates the concentration (% by weight), the x mark indicates the lot 1, the circle mark indicates the lot 2, the square mark indicates the lot 3, A triangle indicates lot 4.

  As shown in Table 2 and FIG. 5, if the above formula (1) is used, if the molecular weight is constant, a relational expression between the viscosity and the concentration having a very high correlation coefficient can be derived.

  Next, Table 3 shows the concentration in each lot when the target viscosity is 3.00 mPa · s from the relational expression between the obtained viscosity and concentration.

  Next, the concentrations shown in Table 3 and the molecular weight of PES in each lot were regressed to the above equation (3) to calculate the values of α and β. As a result, α = −0.6612 and β = 3.8375 were calculated. That is, a mathematical formula of C = −0.6612lnMw + 3.8375 was obtained as the viscosity adjustment relational expression in this example.

  FIG. 6 shows the results of plotting the obtained viscosity adjusting relational expressions, the respective concentrations shown in Table 3, and the molecular weights of the respective lots on the graph. FIG. 6 is a graph showing the relationship between the molecular weight and concentration of PES when the target viscosity is 3.00 mPa · S. In FIG. 6, the vertical axis represents concentration (% by weight), and the horizontal axis represents molecular weight (k).

As shown in FIG. 6, a viscosity adjustment relational expression having a very high multiple correlation coefficient with the points plotted on the graph could be created.
[Example 2]
In this example, 4,7-dibromo-benzo [1,2,5] thiadiazole, 2,7-bis (1,3,2-dioxaborolan-2-yl) -9,9-dioctylfluorene was used as the polymer compound. 2,7-bis (1,3,2-dioxaborolan-2-yl) -9,9-dihexylfluorene, 2,7-dibromo-9,9-dihexylfluorene, N, N′-bis (4-bromo) Phenyl) -N, N′-bis (3-ethoxycarbonyloxyphenyl) biphenyl-4,4-diamine debrominated boron compound polycondensate (hereinafter referred to as polymer (I)) and toluene as a solvent Using. Polymer (I) is the following structural formula (1)

It is a high molecular compound which has a repeating unit shown by these.

  The production method of the polymer (I) was in accordance with the description in Example 3 of JP 2005-515264 A (published May 26, 2005). Polymer (I) was produced 5 times by the production method (hereinafter, the polymer (I) obtained in each production was designated with a number of 1 to 5 in “Lot” in Example 2. Notation).

  The molecular weight and viscosity were measured in the same manner as in Example 1.

  First, the molecular weight of the polymer (I) of lots 1 to 5 was measured. Further, each polymer (I) was dissolved in toluene to prepare a solution, and the viscosity of the solution was measured. Furthermore, A and B of the above formula (1) in the polymer (I) of each lot were calculated from the obtained molecular weight and viscosity. The results are shown in Table 4 below.

  Next, Table 5 shows the theoretical value of the viscosity at the concentration of the polymer (I) in each lot calculated from the relational expression between the obtained viscosity and the concentration.

  FIG. 7 shows a diagram in which A and B calculated for each lot are substituted into the above equation (1) and plotted on the graph. FIG. 7 is a graph showing the relationship between the concentration of the polymer (I) and the molecular weight when the molecular weight is constant. In FIG. 7, the vertical axis indicates the viscosity (mPa · s), the horizontal axis indicates the concentration (% by weight), the x mark indicates lot 1, the circle mark indicates lot 2, and the plus mark indicates lot 3. A minus mark indicates lot 4 and a square mark indicates lot 5.

  As shown in Table 5 and FIG. 7, if the above formula (1) is used, if the molecular weight is constant, a relational expression between the viscosity and the concentration having a very high correlation coefficient can be derived.

  Next, Table 6 shows the concentration in each lot when the target viscosity is 3.00 mPa · s from the relational expression between the obtained viscosity and concentration.

  Next, the concentrations shown in Table 6 and the molecular weight of the polymer (I) of each lot were regressed to the above formula (3) to calculate the values of α and β. As a result, α = −0.2806 and β = 2.4155 were calculated. That is, a mathematical formula of C = −0.2806lnMw + 2.4155 was obtained as the viscosity adjustment relational expression in this example.

  FIG. 8 shows the results of plotting the obtained viscosity adjusting relational expressions, the concentrations shown in Table 6 and the molecular weight of each lot on the graph. FIG. 8 is a graph showing the relationship between the molecular weight and the concentration of the polymer (I) when the target viscosity is 3.00 mPa · S. In FIG. 8, the vertical axis represents concentration (% by weight), and the horizontal axis represents molecular weight (k).

  As shown in FIG. 8, a viscosity adjustment relational expression having a very high multiple correlation coefficient with the points plotted on the graph could be created.

  The present invention is not limited to the above-described embodiments and examples, and it goes without saying that various aspects are possible in detail. Further, the present invention is not limited to the above-described embodiments and examples, and various modifications are possible within the scope shown in the claims, and embodiments obtained by appropriately combining the disclosed technical means. Is also included in the technical scope of the present invention. Moreover, all the academic literatures described in this specification are incorporated herein by reference.

  By using the relational expression creating apparatus and the concentration calculating apparatus according to the present invention, a solution of a polymer compound having a target viscosity can be easily produced. Such a polymer compound solution can be used, for example, for the production of a film on which a polymer compound is applied and dried, such as an optical film, an organic EL display, and a wiring board.

It is a block diagram which shows schematic structure of the calculation apparatus which concerns on one Embodiment of this invention. It is a figure which shows an example of the data structure of the combination of the density | concentration and molecular weight which were memorize | stored in the 1st memory | storage part with which the calculation apparatus shown in FIG. 1 is provided. It is a flowchart which shows the example of the processing flow by the relational expression preparation part with which the calculation apparatus shown in FIG. 1 is provided. It is a flowchart which shows the example of the processing flow by the density | concentration calculation part with which the calculation apparatus shown in FIG. 1 is provided. It is a graph which shows the density | concentration and molecular weight relationship of PES when molecular weight is constant. It is a graph which shows the relationship between the molecular weight and density | concentration of PES when a target viscosity is 3.00 mPa * S. It is a graph which shows the relationship of the density | concentration and molecular weight of polymer (I) when molecular weight is constant. It is a graph which shows the relationship between the molecular weight and the density | concentration of polymer (I) when a target viscosity is 3.00 mPa * S.

Explanation of symbols

1 Calculation device (relational expression creation device, concentration calculation device)
2 interface unit 3 calculation processing unit 4 display unit 5 operation input unit 6 first storage unit (storage device)
7 Relational expression creation part (relational expression creation means)
8 Second storage unit (storage device)
9 Concentration calculation unit (concentration calculation means)

Claims (7)

A combination of the concentration and molecular weight of the polymer compound when the viscosity of the solution of the polymer compound reaches the target viscosity is acquired from the storage device,
The parameters of the model equation indicating the relationship between the concentration and molecular weight of the polymer compound are: (i) by solving a simultaneous equation in which the combination of the concentration and molecular weight is substituted into the model equation, or (ii) the concentration and molecular weight Create a relational expression that determines the relational expression indicating the relationship between the concentration of the polymer compound and the molecular weight when the viscosity of the polymer compound solution reaches the target viscosity, by calculating the regression based on the combination of A relational expression creating apparatus comprising means. The above model formula is the following formula (1)
C = αlnMw + β (1)
(Where C is the concentration (% by weight) of the polymer compound when the solution viscosity reaches the target viscosity, Mw is the molecular weight of the polymer compound, and α and β are the parameters.)
The relational expression creating apparatus according to claim 1, characterized in that:   A relational expression creating program for causing a computer to function as relational expression creating means of the relational expression creating apparatus according to claim 1.   A computer-readable recording medium on which the relational expression creating program according to claim 3 is recorded. A relational expression creating method for determining a relational expression indicating a relation between a concentration and a molecular weight of the polymer compound when the viscosity of the solution of the polymer compound becomes a target viscosity,
An acquisition step of acquiring a combination of the concentration and molecular weight of the polymer compound when the viscosity of the solution of the polymer compound becomes a target viscosity;
The parameter of the model equation indicating the relationship between the concentration and molecular weight of the polymer compound when the viscosity of the solution of the polymer compound reaches the target viscosity, (i) Substituting the obtained combination of the concentration and molecular weight into the model equation Or (ii) executing a regression calculation based on the acquired combination of the concentration and molecular weight to determine the relational expression,
A relational expression creating method characterized by including: Obtaining a relational expression between the molecular weight and concentration of the polymer compound when the viscosity of the polymer compound solution reaches the target viscosity from the storage device,
Concentration calculation comprising a concentration calculation means for calculating a concentration for making the viscosity of the solution of the polymer compound the target viscosity from the relational expression and the molecular weight of the polymer compound used for the production of the solution apparatus. In a viscosity adjusting method for obtaining a solution having a target viscosity by dissolving a polymer compound,
By applying the molecular weight of the polymer compound used for the production of the solution to the relational expression between the molecular weight and the concentration of the polymer compound when the viscosity of the solution becomes the target viscosity, the viscosity of the solution of the polymer compound used for the production is applied. Is a concentration calculation step for calculating the concentration when the target viscosity is reached,
A viscosity adjusting method comprising a solution production step of producing a solution of a polymer compound to be used for production at the concentration calculated in the concentration calculation step.

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