Springer Series in Solid-State Sciences

Site Symmetry in Crystals

Theory and Applications

Authors: Evarestov, Robert, Smirnov, Vyacheslav P.

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About this book

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.

Table of contents (10 chapters)

  • Introduction

    Evarestov, Robert A. (et al.)

    Pages 1-3

  • Finite Groups and Their Representations

    Evarestov, Robert A. (et al.)

    Pages 5-30

  • Symmetry Groups and Their Representations

    Evarestov, Robert A. (et al.)

    Pages 31-87

  • Site Symmetry and Induced Representations of Symmetry Groups

    Evarestov, Robert A. (et al.)

    Pages 89-124

  • Application of Induced Representations in the Electron Theory of Molecules and Crystals

    Evarestov, Robert A. (et al.)

    Pages 125-184

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-3-642-97442-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
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Bibliographic Information

Bibliographic Information
Book Title
Site Symmetry in Crystals
Book Subtitle
Theory and Applications
Authors
Series Title
Springer Series in Solid-State Sciences
Series Volume
108
Copyright
1993
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-97442-7
DOI
10.1007/978-3-642-97442-7
Series ISSN
0171-1873
Edition Number
1
Number of Pages
XI, 274
Topics