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

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.
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https://hal.archives-ouvertes.fr/hal-02504177
Contributor : Dominique Jeulin Connect in order to contact the contributor
Submitted on : Tuesday, March 10, 2020 - 3:10:47 PM
Last modification on : Wednesday, November 17, 2021 - 12:27:17 PM

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Cedric Gommes, Yang Jiao, Anthony Roberts, Dominique Jeulin. Chord-length distributions cannot generally be obtained from small-angle scattering. Journal of Applied Crystallography, International Union of Crystallography, 2020, 53 (1), pp.127-132. ⟨10.1107/S1600576719016133⟩. ⟨hal-02504177⟩

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