Scattering functions of core-shell-structured hard spheres with Schulz-distributed radii

The scattering intensity of polydisperse systems of core-shell and layered hard spheres is considered. The Percus-Yevick solution for the partial structure factors is cast in a form suitable for numerical and analytical treatment. Closed-form, analytical expressions are given for an effective hard-s...

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Bibliographic Details
Published in:The journal of physical chemistry. B Vol. 113; no. 24; pp. 8296 - 8302
Main Authors: Nayeri, M, Zackrisson, M, Bergenholtz, J
Format: Journal Article
Language:English
Published: United States 18-06-2009
Online Access:Get full text
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Summary:The scattering intensity of polydisperse systems of core-shell and layered hard spheres is considered. The Percus-Yevick solution for the partial structure factors is cast in a form suitable for numerical and analytical treatment. Closed-form, analytical expressions are given for an effective hard-sphere model of the scattering intensity of particles with an internal layered structure and a size polydispersity governed by a Schulz distribution. A similar model for polydisperse hard spheres of core-shell structure but with a monodisperse shell thickness is also presented. The models are tested against small-angle X-ray scattering experiments on a hard-sphere-like microemulsion system.
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ISSN:1520-6106
DOI:10.1021/jp811482w