Darwin's approach to X-ray diffraction on lateral crystalline structures

Acta Crystallogr A Found Adv. 2014 Jan;70(Pt 1):64-71. doi: 10.1107/S2053273313030416. Epub 2013 Dec 20.

Abstract

Darwin's dynamical theory of X-ray diffraction is extended to the case of lateral (i.e., having a finite length in the lateral direction) crystalline structures. This approach allows one to calculate rocking curves as well as reciprocal-space maps for lateral crystalline structures having a rectangular cross section. Numerical modelling is performed for these structures with different lateral sizes. It is shown that the kinematical approximation is valid for thick crystalline structures having a small length in the lateral direction.

Keywords: Darwin's dynamical theory; X-ray diffraction; lateral crystals; lateral structures; reciprocal-space maps.