Mِssbauer coherent inelastic scattering of synchrotron radiation in perfect crystals

A dynamical theory of coherent inelastic (accompanied by creation or absorption of phonons in the crystal lattice) Mِssbauer scattering of synchrotron radiation (SR) is developed. General equations describing inelastic Mِssbauer scattering are formulated, analyzed for the general case and solved analytically for the cases permitting separation of polarizations. A detailed analysis of the solutions is performed for thick samples in the case of pure nuclear reflections. It is found that some qualitatively new effects compared with the case of elastic Mِssbauer scattering reveal themselves in inelastic Mِssbauer scattering of SR. They are, for example, different number of frequencies in the pendelosung beats versus sample thickness, a different fine structure of the angular distribution inside the region of strong diffraction, and effectively increased transparency of samples for the resonant component in the primary and the diffraction directions.