Polymer Structural Model Calculation with Faster RMC Orientation Estimation
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Solution Overview
Problem
Existing methods for analyzing polymer materials using Wide Angle X-ray Diffraction (WAXD) face challenges due to fewer diffraction points and intense diffuse diffraction from non-crystals, making it difficult to analyze three-dimensional orientation distributions, and require long computation times for equilibrium in Reverse Monte Carlo (RMC) methods.
Innovation Solution
A calculation apparatus and method that estimates the orientation direction from a two-dimensional diffraction image using an initial structural model with crystallites in the same direction, applying the RMC method to reduce computation time and improve accuracy in estimating three-dimensional orientation distributions.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If the RMC method is applied to simulate polymer structural models with many degrees of freedom, then the accuracy of three-dimensional orientation distribution estimation is improved, but the calculation time to reach equilibrium state becomes excessively long
Solution Approach 1:
The patent applies preliminary action by performing a pre-calculation step where all crystallites are initially set in the same direction to generate a pre-calculation structural model. This preliminary model serves as an optimized starting point for the subsequent RMC simulation, allowing the system to reach equilibrium faster while maintaining accurate three-dimensional orientation distribution estimation.
2Productivity
If conventional RMC simulation is used without pre-calculation, then comprehensive structural exploration is achieved, but the computation time increases significantly
Solution Approach 1:
The patent introduces a pre-calculation process that generates an initial structural model with all crystallites aligned in the same direction. This preliminary action creates an optimized starting configuration that reduces the computational search space, thereby significantly improving calculation efficiency and reducing computation time without sacrificing the comprehensiveness of structural exploration in the subsequent RMC simulation.
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
The method allows for efficient calculation of polymer structural models with reduced computation time and high accuracy, enabling analysis of complex orientation distributions in polymer materials.
Implementation Method 1
WAXD (Wide Angle X-ray Diffraction) method is widely used as a method for measuring the orientation distribution of a polymer material
Implementation Method 2
the diffraction points are few in the diffraction image and diffuse diffraction from the non-crystal is intense
Data Source
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AI summary
A calculation apparatus, a system, a method, and a program for simply estimating an orientation direction from a two-dimensional diffraction image and calculating a structural model of a polymer are provided. A calculation apparatus 400 for calculating a structural model of a polymer comprises a data acquiring section 410 for acquiring a two-dimensional diffraction image and crystal structure data, an initial structural model generating section 420 for generating an initial structural model including one crystallite, and a crystallite direction calculating section 430 for calculating a direction of the crystallite, wherein the direction of the crystallite is calculated based on a two-dimensional diffraction image calculated from the initial structural model and the measured two-dimensional diffraction image.