English

Bayesian inference to identify crystalline structures for XRD

Materials Science 2023-09-27 v1 Applications

Abstract

Crystalline phase structure is essential for understanding the performance and properties of a material. Therefore, this study identified and quantified the crystalline phase structure of a sample based on the diffraction pattern observed when the crystalline sample was irradiated with electromagnetic waves such as X-rays. Conventional analysis necessitates experienced and knowledgeable researchers to shorten the list from many candidate crystalline phase structures. However, the Conventional diffraction pattern analysis is highly analyst-dependent and not objective. Additionally, there is no established method for discussing the confidence intervals of the analysis results. Thus, this study aimed to establish a method for automatically inferring crystalline phase structures from diffraction patterns using Bayesian inference. Our method successfully identified true crystalline phase structures with a high probability from 50 candidate crystalline phase structures. Further, the mixing ratios of selected crystalline phase structures were estimated with a high degree of accuracy. This study provided reasonable results for well-crystallized samples that clearly identified the crystalline phase structures.

Keywords

Cite

@article{arxiv.2309.14785,
  title  = {Bayesian inference to identify crystalline structures for XRD},
  author = {Ryo Murakami and Yoshitaka Matsushita and Kenji Nagata and Hayaru Shouno and Hideki Yoshikawa},
  journal= {arXiv preprint arXiv:2309.14785},
  year   = {2023}
}
R2 v1 2026-06-28T12:32:34.240Z