International Tables for Crystallography Volume D: Physical properties of crystals

Part 1 introduces the mathematical properties of tensors and of group representations and gives their independent components for each of the crystallographic groups. The software included in the accompanying CD ROM enables the irreducible representations of finite point groups in three dimensions (the 32 crystallographic groups and the groups of the quasicrystalline phases) and the independent components of a tensor of any rank for each of these groups to be determined. Part 2 is devoted to the symmetry aspects of excitations in reciprocal space: phonons, electrons, Raman scattering and Brillouin scattering. Part 3 deals with the symmetry aspects of structural phase transitions and of twinning. The application of the symmetry principles that derive from this theory is illustrated by the tables on the CD ROM. The CD ROM also contains tables of tensor properties at any group-subgroup phase transition.