Site Symmetry in Crystals: Theory and ApplicationsSpringer Berlin Heidelberg, 16.01.1997 - 280 Seiten 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. |
Inhalt
Introduction | 1 |
Symmetry Groups and Their Representations | 31 |
Site Symmetry and Induced Representations of Symmetry Groups | 89 |
Urheberrecht | |
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Site Symmetry in Crystals: Theory and Applications Robert A. Evarestov,Vyacheslav P. Smirnov Eingeschränkte Leseprobe - 2012 |
Häufige Begriffe und Wortgruppen
a₁ a₁(z a₂ atomic functions b₁ b₁(x b₁u b₂ b₂(y Bravais lattice Brillouin zone calculations cluster coefficients consider contains corep corresponding coset crystalline cyclic model cyclic system diperiodic electronic structure energy bands energy levels Fedorov G₁ group G Hamiltonian hybrid orbitals induced corep induced representations irreps of G isomorphous k-basis layer plane linear combinations little group localized functions localized orbitals matrix modes molecular nonrigid notation nuclei obtained operator permutation phase transitions phonon phonon symmetry point defect point group point symmetry Raman spectra reciprocal lattice rotating molecules second order Sect Shubnikov space group Simple induced representations simple induced reps small irreps space group span the space superconductors superlattices surface symmetry group symmetry points tensor field tensor field rep tetragonal theory tion transform according translation group translation vectors unit cell unitary subgroup valence bands vibrations wave functions wave vector Wigner-Seitz cell Wyckoff positions