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