X-ray Bragg scattering in the Born-Oppenheimer approximation
Abstract
It is shown that for any type of motion of atomic nuclei the following hold in the Born-Oppenheimer approximation of the wave functions: (1) the structure factors for the Bragg intensities are given by the Fourier transform of the average density in the unit cell, (2) for the Bragg intensities, the Boltzmann weight factor of a thermal state appears as a factor of the amplitude (and not of the intensity).