Symmetry in the nuclear solid state physics

AbstractIn this paper some group-theoretical methods are discussed, which may be used to study both the hyperfine fields on nuclei of crystals, and the interaction of the nuclear resonant radiation with these crystals. Several types of hyperfine fields structures are considered. They are: the structure formed by the magnetic fields on nuclei, the electric field gradients structure and the combined one. It is shown, that the application of colour groups and tensor representations of space groups is not suitable for the study of the structures considered. Tensor representation also makes it possible to determine a set of possible reflections in Mössbauer diffraction patterns