Chord-length distributions cannot generally be obtained from small-angle scattering Chord-length distributions

Cedric J. Gommes, Yang Jiao, Anthony P. Roberts, Dominique Jeulin

Research output: Contribution to journalArticle

Abstract

The methods used to extract chord-length distributions from small-angle scattering data assume a structure consisting of spatially uncorrelated and disconnected convex regions. These restrictive conditions are seldom met for a wide variety of materials such as porous materials and semicrystalline or phase-separated copolymers, the structures of which consist of co-continuous phases that interpenetrate each other in a geometrically complex way. The significant errors that would result from applying existing methods to such systems are discussed using three distinct models for which the chord-length distributions are known analytically. The models are a dilute suspension of hollow spheres, the Poisson mosaic and the Boolean model of spheres.

Original languageEnglish (US)
Pages (from-to)127-132
Number of pages6
JournalJournal of Applied Crystallography
Volume53
DOIs
StatePublished - Feb 1 2020

Keywords

  • Poisson mosaic
  • chord-length distributions
  • penetrable spheres
  • small-angle scattering

ASJC Scopus subject areas

  • Biochemistry, Genetics and Molecular Biology(all)

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