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Small‐Angle Scattering from Particles Having an Irregular Inner Structure
Author(s) -
Bianco H.,
Narkis M.,
Cohen Y.
Publication year - 1998
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/s0021889897012624
Subject(s) - scattering , isotropy , phase (matter) , physics , small angle scattering , dispersion (optics) , optics , particle (ecology) , molecular physics , computational physics , quantum mechanics , oceanography , geology
A model is presented for the scattering pattern of a dilute dispersion of particles having an irregular inner structure, made of two phases randomly distributed. For isotropic particles in a dispersant medium, the correlation function of the inner structure has, in the limit of small distances, the same exponential form as that for a two‐phase system, provided that the characteristic length scale of the inner structure is small compared to the particle dimension. The scattering pattern of spherical particles is presented in a form suitable for analysis using the contrast‐variation method. The cross‐term, related to the orientation average of the scattering amplitude, is absent for a random inner structure. The heterogeneous part of the scattering curve is the same as for a randomly distributed two‐phase structure. The sphere method is used to simulate the scattering behaviour of particles having an irregular inner structure and to demonstrate the validity of the proposed model.