Site Symmetry in Crystals

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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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.

• Group representation
• Group theory
• Localized and delocalized states in crystals
• Point group
• Representation theory
• Symmetry group
• crystallography
• induced representations of space groups
• layer groups
• site symmetry in crystals

• 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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