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Crystal truncation rods in kinematical and dynamical x-ray diffraction theories

Vladimir M. Kaganer
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Abstract

Crystal truncation rods calculated in the kinematical approximation are shown to quantitatively agree with the sum of the diffracted waves obtained in the two-beam dynamical calculations for different reflections along the rod. The choice and the number of these reflections are specified. The agreement extends down to at least $\sim 10^{-7}$ of the peak intensity. For lower intensities, the accuracy of dynamical calculations is limited by truncation of the electron density at a mathematically planar surface, arising from the Fourier series expansion of the crystal polarizability.

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Vladimir M. Kaganer. 2007-02-28. Crystal truncation rods in kinematical and dynamical x-ray diffraction theories. https://doi.org/10.1103/physrevb.75.245425

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