J. Phys. IV France
Volume 03, Numéro C8, Décembre 1993
IX International Conference on Small Angle Scattering
Page(s) C8-499 - C8-502
IX International Conference on Small Angle Scattering

J. Phys. IV France 03 (1993) C8-499-C8-502

DOI: 10.1051/jp4:19938103

Integral expressions of the small-angle scattering correlation-function derivatives


Dipartimento di Fisica 'G. Galilei' and sez. I.N.F.M., via Marzolo 8, 35131 Padova, Italy

The integral expression of the nth derivative of the SAS correlation-function ([MATH]) is reported. It is the average, throughout the sample interface, of the loop integral of a vectorial field [MATH]. All the [MATH], with [MATH], are recursively obtained by appropriate differentiation of [MATH], whose explicit expression is given in terms of the parametric equations of the interface. For very smooth interface it results that all the CF even-derivatives are null at the origin.

© EDP Sciences 1993