Anisotropic dynamic model of forbidden reflections in x-ray diffraction

Abstract

A dynamic model of anisotropic x-ray diffraction is developed using two-wave approximation. A dispersion surface equation is derived for the screw-axis and glide-plane forbidden reflections. Propagation and polarization phenomena of waves are discussed. The deductions show that all these forbidden reflections may be excited except the $00l$ $(l=2n+1)$ reflections for a ${6}_{3}$ screw axis and the $00l$ $(l=6n+3)$ reflections for ${6}_{1}$ and ${6}_{5}$ screw axes. The general methods are illustrated by their application to the rutile structure.