Faculté des sciences

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

Nayeri, M. ; Zackrisson, Malin ; Bergenholtz, Johan

In: The Journal of Physical Chemistry B, 2009, vol. 113, no. 24, p. 8296–8302

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... Plus

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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.