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A simple approximation for calculating the small‐angle X‐ray and neutron scattering from polydisperse samples of independently scattering uniform spheres
Author(s) -
Schmidt P. W.,
Kalliat M.
Publication year - 1984
Publication title -
journal of applied crystallography
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.429
H-Index - 162
ISSN - 1600-5767
DOI - 10.1107/s0021889884010955
Subject(s) - radius , spheres , scattering , small angle neutron scattering , physics , biological small angle scattering , gaussian , neutron , intensity (physics) , computational physics , neutron scattering , small angle scattering , constant (computer programming) , scattering length , optics , quantum mechanics , computer security , astronomy , computer science , programming language
A convenient approximation has been obtained for the intensity of the small‐angle X‐ray or neutron scattering from an assembly of independently scattering spherical particles with constant density when the radius‐distribution function is a Gaussian with a full width at half maximum which is not greater than 1.7 times the most probable radius. The approximation expresses the intensity in terms of elementary functions. Criteria are given for setting a bound on the error in the approximation.