Fit model: hard spheres
Parameters:
parameter |
description |
F_scal |
scaling parameter (should be between 0.1 and 10 - see here) |
F_rad |
hard sphere radius |
F_sigma |
polydispersity index [0,1] |
S_phi |
volume fraction |
Remarks:
polydisperse sphere scattering function with Schulz size distribution: analytical expression
for calculations using a structure factor:
the interparticle interaction of the polydisperse system can be described by an effective structure factor using the decoupling approximation, which has an analytical expression in the case of a Schulz size distribution (for low and intermediate volume fractions)
References:
M. Sztucki, T. Narayanan, G. Belina, A. Moussaïd, F. Pignon, and H. Hoekstra, Phys. Rev. E 74, 051504 (2006)
M. Kotlarchyk and S.-H. Chen, J. Chem. Phys. 79, 2461 (1983)
R. Klein and B. D’Aguanno, in Light Scattering: Principles and Development, edited by W. Brown Clarendon Press, Oxford, 1996, p. 30