Structure factors in amorphous and disordered harmonic Debye solids

Abstract

Expressions for the static and dynamic structure factor of Van Hove and for the static structure factors appropriate for x-ray and neutron scattering and for resistivity are presented in harmonic approximation for amorphous and disordered solids having a Debye phonon spectrum. A useful model dynamic structure factor containing a temperature-dependent function of $K$ is defined. The high- and low-temperature limiting forms are examined in detail and the entire temperature dependence is discussed qualitatively. Applications in the areas of resistivity and scattering of x-rays are discussed.