Site symmetry in crystals: theory and applications
Site Symmetry in Crystals is the first comprehensive account of the group-theoretical aspects of the site (local) symmetry approach to the study of crystalline solids. The efficiency of this approach, which is based on the concepts of simple induced and band representations of space groups, is demonstrated by considering newly developed applications to electron surface states, point defects, symmetry analysis in lattice dynamics, the theory of second-order phase transitions, and magnetically ordered and non-rigid crystals. Tables of simple induced respresentations are given for the 24 most common space groups, allowing the rapid analysis of electron and phonon states in complex crystals with many atoms in the unit cell.
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Symmetry Groups and Their Representations
Site Symmetry and Induced Representations of Symmetry Groups
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atomic functions axes axis Bravais lattice Brillouin zone calculations cluster coefficients consider contains coordinates corep corresponding coset representatives crystalline crystallographic crystallographic point groups cyclic model cyclic system decomposition double-valued energy bands energy levels factor group Fedorov g e G given in Table group G group irreps Hamiltonian induced corep invariant subgroup irreps of G isomorphic labels layer group layer plane left cosets linear combinations little group Gk localized functions localized orbitals magnetic matrix molecular notation nuclei obtained one-electron phonon phonon symmetry point defect point group point symmetry reciprocal lattice rotating molecules second order Sect Shubnikov space group Simple induced representations simple induced reps small irreps space group span the space subduced superconductors superlattices symbols symmetry group symmetry points tensor field tetragonal theory tion transform according translation group translation vectors valence bands vibrations wave functions wave vector Wigner-Seitz cell Wyckoff positions
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