Abstract

In the present study, we show that time-consuming manual tuning of parameters in the Rietveld method, one of the most frequently used crystal structure analysis methods in materials science, can be automated by considering the entire trial-and-error process as a blackbox optimisation problem. The automation is successfully achieved using Bayesian optimisation, which outperforms both a human expert and an expert-system type automation despite the absence of expertise. This approach stabilises the analysis quality by eliminating human-origin variance and bias, and can be applied to various analysis methods in other areas which also suffer from similar tiresome and unsystematic manual tuning of extrinsic parameters and human-origin variance and bias.

Highlights

  • The physical properties of materials are governed by their crystal structure; crystal structure analysis is an indispensable element in materials science research[1,2]

  • In this study, based on blackbox optimisation (BBO)[14], we offer a general automation framework for Rietveld refinement to alleviate these problems and allow practitioners to spend more time examining candidate structures proposed by the framework, and not searching for them in a vast parameter space

  • The definition of GOF is given as follows: Here, we introduce our "BBO-Rietveld” approach that automates the tuning of the refinement scope in the Rietveld method in the same manner as previously done in hyperparameter optimisation (HPO)

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Summary

INTRODUCTION

The physical properties of materials are governed by their crystal structure; crystal structure analysis is an indispensable element in materials science research[1,2]. Powder 3D Parametric[40] is a semi-automated software refinement, yOi bs be the i-the observed diffraction intensity, yCx;ailc be the diffraction intensity calculated using the physical model toolkit for Rietveld refinement based on user-provided configuration This software is designed for sequential analysis of a large number of data such as time-resolved measurement. Our task can be formalised as the following BBO problem: is suitable for solving problems with stochastic state transitions which are formulated as a Marcov decision process This method is minimise RwpðxÞ; famous for its great success in playing games like Go. While the reinforcement learning-based approach is conceptually interestsubject to cðxÞ ! To the best of our knowledge, no attempt has been made to apply the BBO approach to Rietveld refinement for automating the time-consuming trial-and-error process and search beyond the boundaries defined by the common sense of human experts. We obtain the best configuration x? 1⁄4 argminxRwpðxÞ, which achieves the best fit without manual process

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