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

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