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Site Symmetry in Crystals

Theory and Applications

  • Robert A. Evarestov
  • Vyacheslav P. Smirnov

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

Table of contents

  1. Front Matter
    Pages I-XI
  2. Robert A. Evarestov, Vyacheslav P. Smirnov
    Pages 1-3
  3. Robert A. Evarestov, Vyacheslav P. Smirnov
    Pages 5-30
  4. Robert A. Evarestov, Vyacheslav P. Smirnov
    Pages 31-87
  5. Robert A. Evarestov, Vyacheslav P. Smirnov
    Pages 89-124
  6. Robert A. Evarestov, Vyacheslav P. Smirnov
    Pages 125-184
  7. Robert A. Evarestov, Vyacheslav P. Smirnov
    Pages 185-203
  8. Robert A. Evarestov, Vyacheslav P. Smirnov
    Pages 205-212
  9. Robert A. Evarestov, Vyacheslav P. Smirnov
    Pages 213-236
  10. Robert A. Evarestov, Vyacheslav P. Smirnov
    Pages 237-250
  11. Robert A. Evarestov, Vyacheslav P. Smirnov
    Pages 251-264
  12. Back Matter
    Pages 265-276

About this book

Introduction

The history of applications of space group theory to solid state physics goes back more than five decades. The periodicity of the lattice and the definition of a k-space were the corner-stones of this application. Prof. Volker Heine in Vol. 35 of Solid State Physics (1980) noted that, even in perfect crystals, where k-space methods are appropriate, the local properties (such as the charge densi­ ty, bond order, etc.) are defined by the local environment of one atom. Natural­ ly, "k-space methods" are not appropriate for crystals with point defects, sur­ faces and interfaces, or for amorphous materials. In such cases the real-space approach favored by chemists to describe molecules has turned out to be very useful. To span the gulf between the k-space and real space methods it is helpful to recall that atoms in crystalline solids possess a site symmetry defined by the symmetry of the local environment of the atom occupying the site. The site symmetry concept is familiar to crystallographers and commonly used by them in the description of crystalline structures. However, in the application of group theory to solid state physics problems, the site symmetry approach has been used only for the last ten to fifteen years. In our book Methods oj Group Theory in the Quantum Chemistry oj Solids published in Russian in 1987 by Leningrad University Press we gave the first results of this application to the theory of electronic structure of crystals.

Keywords

Group theory Lattice chemistry induced representations of space groups lattice dynamics layer groups localized and delocalized states in crystals site symmetry in crystals surface

Authors and affiliations

  • Robert A. Evarestov
    • 1
  • Vyacheslav P. Smirnov
    • 2
  1. 1.Department of ChemistrySt. Petersburg University St. PeterhoffSt. PetersburgRussia
  2. 2.Department of Theoretical PhysicsInstitute of Fine Mechanics and OpticsSt. PetersburgRussia

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-97442-7
  • Copyright Information Springer-Verlag Berlin Heidelberg 1993
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-97444-1
  • Online ISBN 978-3-642-97442-7
  • Series Print ISSN 0171-1873
  • Buy this book on publisher's site
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