Polymer Solvent Diffusion Coefficient Modeling With Four Descriptors

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Solution Overview

Problem

Existing methods for analyzing solvent diffusion coefficients in polymer materials are limited by the need for Flory-Huggins parameters, difficulty in reproducing experiments, and long calculation times, making it challenging to optimize solvent selection and permeability analysis for polymer films.

Innovation Solution

A computer simulation model using descriptors such as mixing energy (ME), enthalpy of vaporization (EV), number of chemical bonds (NB), and molar volume (MV) to analyze solvent diffusion coefficients in polymer materials, employing multi-linear regression to predict diffusion coefficients accurately.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Measurement precision

If molecular dynamics simulation is used to measure diffusion coefficient of solvent molecule, then measurement precision is improved, but loss of time increases

Engineering Contradiction:
Improvediffusion coefficient measurement precisionVSAvoidcalculation time
Core Design Contradiction:
Measurement precisionVSLoss of time

Solution Approach 1:

The invention changes the measurement parameters from direct molecular dynamics simulation to a semi-empirical model that uses Flory-Huggins parameter (χ) and Hildebrand solubility parameter (δ) as input variables. This allows the diffusion coefficient to be calculated through a mathematical relationship rather than time-consuming molecular dynamics simulation, significantly reducing calculation time while maintaining measurement precision through the use of established thermodynamic parameters.

Inventive Principle:
Principle #35Parameter changes

2Measurement precision

If magnetic suspension balance and sorption equilibrium experiment is used, then diffusion coefficient can be measured, but device complexity increases

Engineering Contradiction:
Improvediffusion coefficient measurement capabilityVSAvoidexperimental apparatus complexity
Core Design Contradiction:
Measurement precisionVSDevice complexity

Solution Approach 1:

The invention replaces the mechanical and experimental apparatus (magnetic suspension balance, sorption equilibrium setup) with a computational approach using a semi-empirical model. The model substitutes physical measurement devices with mathematical relationships that incorporate Flory-Huggins parameter and Hildebrand solubility parameter, thereby eliminating the need for complex experimental apparatus while maintaining the ability to determine diffusion coefficients.

Inventive Principle:
Principle #28Mechanics substitution (Replace mechanical system)

3Measurement precision

If Flory-Huggins parameter is required for diffusion coefficient measurement, then measurement precision is improved, but ease of manufacture worsens

Engineering Contradiction:
Improvediffusion coefficient accuracyVSAvoidexperiment reproducibility
Core Design Contradiction:
Measurement precisionVSEase of manufacture

Solution Approach 1:

The invention enhances universality by making the diffusion coefficient calculation applicable to various polymer-solvent systems through the use of widely available Flory-Huggins parameters and Hildebrand solubility parameters. These parameters can be obtained from literature or calculated using group contribution methods, making the approach universally applicable without requiring system-specific experimental calibration, thereby improving ease of manufacture and experiment reproducibility.

Inventive Principle:
Principle #6Universality (Multi-functionality)

Applied Scientific Principles

This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.

Function Achieved in This Case

Enables efficient selection of suitable solvents for polymer film preparation and enhances permeability analysis, improving film durability and properties without the need for extensive molecular dynamics simulations.

Implementation Method 1

Method for analyzing diffusion coefficient of solvent molecules in polymer material

Methodology Applied
Scientific EffectDiffusion: Diffusion

Implementation Method 2

ME is the mixing energy (kcal/mol) of the solvent molecule and the polymer material

Methodology Applied
Scientific EffectMixing energy:

Implementation Method 3

EV is the enthalpy of vaporization (kcal/mol) of the solvent molecule

Methodology Applied
Scientific EffectEnthalpy of vaporization:

Data Source

PatentEP3543679B1Method for analyzing diffusion coefficient of solvent molecules in polymer material
Publication Date: 2025.10.01 LG CHEM LTD
  • EP3543679B1 patent drawingFigure 1
  • EP3543679B1 patent drawingFigure 2
  • EP3543679B1 patent drawing

AI summary

The present invention provides: a model for analyzing the diffusion coefficient of solvent molecules, using four descriptors related to the characteristics of a solvent in order to analyze the diffusion coefficient of solvent molecules in a polymer material; and a method for analyzing the diffusion coefficient of solvent molecules with respect to a polymer by using the same. The method for analyzing the diffusion coefficient of solvent molecules, according to the present invention, can provide the optimum solvent by effectively analyzing the diffusion coefficient of solvent molecules when a solvent suitable for a drying process should be screened for during polymer film manufacturing using a solution process or when the permeability of a polymer material to be used in a product should be analyzed.