International Tables for Crystallography Volume D: Physical  Properties of Crystals is concerned with the influence of  symmetry on the physical and tensor properties of crystals and on  their structural phase transitions. This role is very important in  many different disciplines of the science of materials such as  crystallography, elasticity, solid-state physics, magnetism, optics,  ferroelectricity and mineralogy.   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. A prominent feature is the joint description of twinning and  domain structures, which are usually presented in completely separate  ways in handbooks of physics and mineralogy.   The theory of structural phase transitions relates the symmetry  characteristics of the transitions to their physical ones. 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.

International Tables for Crystallography, Vol.D: Physical properties of crystals(527) PDF

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