Generalization of Porod's law of small-angle scattering to anisotropic samples
Dipartimento di Fisica “G. Galilei" and INFM, sezione di Padova
via Marzolo 8, I-35131 Padova, Italy
2 ETH Zürich, Institut für Angewandte Physik - CH-8093 Zürich, Switzerland
Accepted: 29 March 2000
Small-angle scattering from anisotropic samples, consisting of homogeneous particles inside a homogeneous medium with a scattering contrast , is considered. Along any direction of reciprocal space, at large the Porod plot of the scattering intensity (i.e. vs. q) shows a plateau whose height depends on and reads . Here, the sum runs over all the points (labeled by (j,l)) of the surface of the j-th particle of the sample where the normal is either parallel or antiparallel to , and is the corresponding Gaussian curvature value.
PACS: 61.10.Dp – Theories of diffraction and scattering / 61.10.Eq – X-ray scattering (including small-angle scattering) / 61.12.Bt – Theories of diffraction and scattering
© EDP Sciences, 2000