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Site Symmetry in Crystals

Theory and Applications

  • Book
  • © 1997

Overview

Authors:
  1. Robert A. Evarestov

    1. Department of Chemistry, St. Petersburg University, St. Petersburg, Russia

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  2. Vyacheslav P. Smirnov

    1. Department of Theoretical Physics, Institute of Fine Mechanics and Optics, St. Petersburg, Russia

    View author publications

    You can also search for this author in PubMed   Google Scholar

Part of the book series: Springer Series in Solid-State Sciences (SSSOL, volume 108)

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Table of contents (10 chapters)

  1. Front Matter

    Pages I-XIII
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  2. Introduction

    • Robert A. Evarestov, Vyacheslav P. Smirnov
    Pages 1-3

  3. Finite Groups and Their Representations

    • Robert A. Evarestov, Vyacheslav P. Smirnov
    Pages 5-30

  4. Symmetry Groups and Their Representations

    • Robert A. Evarestov, Vyacheslav P. Smirnov
    Pages 31-87

  5. Site Symmetry and Induced Representations of Symmetry Groups

    • Robert A. Evarestov, Vyacheslav P. Smirnov
    Pages 89-124

  6. Application of Induced Representations in the Electron Theory of Molecules and Crystals

    • Robert A. Evarestov, Vyacheslav P. Smirnov
    Pages 125-184

  7. Induced Representations in the Theory of Imperfect Crystals

    • Robert A. Evarestov, Vyacheslav P. Smirnov
    Pages 185-204

  8. Application of Induced Representations of Space Groups to Second Order Phase Transitions

    • Robert A. Evarestov, Vyacheslav P. Smirnov
    Pages 205-212

  9. Induced Representations of Space Groups in Phonon Spectroscopy of Crystals

    • Robert A. Evarestov, Vyacheslav P. Smirnov
    Pages 213-236

  10. Site Symmetry in Magnetic Crystals and Induced Corepresentations

    • Robert A. Evarestov, Vyacheslav P. Smirnov
    Pages 237-250

  11. Site Symmetry in Permutation — Inversion Symmetry Groups of Nonrigid Crystals

    • Robert A. Evarestov, Vyacheslav P. Smirnov
    Pages 251-267

  12. Back Matter

    Pages 269-282
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Keywords

About this book

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.

Authors and Affiliations

  • Department of Chemistry, St. Petersburg University, St. Petersburg, Russia

    Robert A. Evarestov

  • Department of Theoretical Physics, Institute of Fine Mechanics and Optics, St. Petersburg, Russia

    Vyacheslav P. Smirnov

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