Scattering by a network of prolate, cross-section-polydispersed cylinders applicable to fibrillar thermoreversible gels

Jean-Michel Guenet

doi:doi:10.1051/jp2:1994185

Numéro		J. Phys. II France Volume 4, Numéro 7, July 1994


Page(s)		1077 - 1082
DOI		https://doi.org/10.1051/jp2:1994185

DOI: 10.1051/jp2:1994185
J. Phys. II France 4 (1994) 1077-1082

Scattering by a network of prolate, cross-section-polydispersed cylinders applicable to fibrillar thermoreversible gels

Jean-Michel Guenet

Laboratoire d'Ultrasons et de Dynamique des Fluides Complexes CNRS URA 851, Université Louis Pasteur, 4 rue Blaise Pascal, 67070 Strasbourg Cedex, France

(Received 23 March 1994, revised 17 May 1994, accepted 1 June 1994)

Abstract
The intensity scattered by a network of cross-section-polydispersed cylinders in which the mesh size is far larger than the largest cross-sectional radius is calculated by considering a weight distribution function of the type $w(r) \sim r^\lambda$ with two cut-off radii, $r_{\min}$ , and $r_{\max}$ . Two scattering ranges are identified (transitional range and Porod-range). The case $\lambda = 1$ is particularly detailed as it corresponds to existing experimental cases. It is shown that the different radii $r_{\min}$ , $r_{\max}$ , $r\rm _n$ (number-averaged), $r\rm _w$ (weight-averaged) can be determined independently of the intensity absolute calibration.