The role of lattice vibrations in dynamical theory of X-rays

A consistent dynamical theory of X-rays is developed which takes into account in explicit form the processes of Thomson scattering, photoelectric absorption, and Compton scattering as well as inelastic scattering of X-rays by phonons. Special attention is paid to analysis of the role played by lattice vibrations and temperature. Owing to inelastic scattering by phonons, the temperature dependence of the coefficients of dynamical equations is not determined by Debye-Waller factors but has a more complicated behaviour. A detailed analysis is given of the influence of lattice vibrations on the effect of anomalous transmission.