English

Bayesian inference of nanoparticle-broadened x-ray line profiles

Data Analysis, Statistics and Probability 2007-05-23 v1

Abstract

A single and self-contained method for determining the crystallite-size distribution and shape from experimental x-ray line profile data is presented. We have shown that the crystallite-size distribution can be determined without assuming a functional form for the size distribution, determining instead the size distribution with the least assumptions by applying the Bayesian/MaxEnt method. The Bayesian/MaxEnt method is tested using both simulated and experimental CeO2_{2} data. The results demonstrate that the proposed method can determine size distributions, while making the least number of assumptions. The comparison of the Bayesian/MaxEnt results from experimental CeO2_2 with TEM results is favorable

Cite

@article{arxiv.physics/0305018,
  title  = {Bayesian inference of nanoparticle-broadened x-ray line profiles},
  author = {N. Armstrong and W. Kalceff and J. P. Cline and J. Bonevich},
  journal= {arXiv preprint arXiv:physics/0305018},
  year   = {2007}
}

Comments

43 pages, 13 Figures, 5 Tables

R2 v1 2026-07-22T18:56:05.052Z