Improvements and considerations for size distribution retrieval from small-angle scattering data by Monte Carlo methods

Brian R. Pauw, Jan Skov Pedersen, Samuel Tardif, Masaki Takata, Bo B. Iversen

Research output: Contribution to journalArticle

48 Citations (Scopus)

Abstract

Monte Carlo (MC) methods, based on random updates and the trial-and-error principle, are well suited to retrieve form-free particle size distributions from small-angle scattering patterns of non-interacting low-concentration scatterers such as particles in solution or precipitates in metals. Improvements are presented to existing MC methods, such as a non-ambiguous convergence criterion, nonlinear scaling of contributions to match their observability in a scattering measurement, and a method for estimating the minimum visibility threshold and uncertainties on the resulting size distributions.

Original languageEnglish
Pages (from-to)365-371
Number of pages7
JournalJournal of Applied Crystallography
Volume46
Issue number2
DOIs
Publication statusPublished - 2013 Apr 1
Externally publishedYes

Keywords

  • Monte Carlo methods
  • Particle size distribution
  • Small-angle scattering
  • structure analysis

ASJC Scopus subject areas

  • Biochemistry, Genetics and Molecular Biology(all)

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