language: en

A Generalized Debye Scattering Formula and the Hankel Transform

Thomas Wieder
TU Darmstadt, FB Materialwissenschaft, FG Stmkturforschung,
Petersenstr. 23, D-64287 Darmstadt
Z. Naturforsch. 54 a, 124-130 (1999);

[received December 15, 1998]

The diffracted intensity of an x-ray or neutron diffraction experiment is expressed as an integral over an atomic position distribution function. A generalized Debye scattering formula results. Since this distribution funcdon is expanded into a series of spherical harmonics, an inverse Hankel Uransform of the intensity allows die calculation of die expansion coefficients which describe the atomic arrangement completely. The connections between the generalized Debye scattering formula and the original Debye formula as well as the Laue scattering formula are derived.

Key words: X-ray Scattering; Debye Formula; Hankel Transform.

1. Introduction