English

Efficient fitting of single-crystal diffuse scattering in interaction space: a mean-field approach

Disordered Systems and Neural Networks 2021-07-29 v1

Abstract

The diffraction patterns of crystalline materials with strongly-correlated disorder are characterised by the presence of structured diffuse scattering. Conventional analysis approaches generally seek to interpret this scattering either atomistically or in terms of pairwise (Warren--Cowley) correlation parameters. Here we demonstrate how a mean-field methodology allows efficient fitting of diffuse scattering directly in terms of a microscopic interaction model. In this way the approach gives as its output the underlying physics responsible for correlated disorder. Moreover, the use of a very small number of parameters during fitting renders the approach surprisingly robust to data incompleteness, a particular advantage when seeking to interpret single-crystal diffuse scattering measured in complex sample environments. We use as the basis of our proof-of-concept study a toy model based on strongly-correlated disorder in diammine mercury(II) halides.

Keywords

Cite

@article{arxiv.2107.13336,
  title  = {Efficient fitting of single-crystal diffuse scattering in interaction space: a mean-field approach},
  author = {Ella M. Schmidt and Johnathan M. Bulled and Andrew L. Goodwin},
  journal= {arXiv preprint arXiv:2107.13336},
  year   = {2021}
}
R2 v1 2026-06-24T04:35:41.115Z