The Mathematical Theory of Symmetry in Solids: Representation Theory for Point Groups and Space…

Paperback | January 16, 2010

byChristopher Bradley, Arthur Cracknell

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This book gives the complete theory of the irreducible representations of the crystallographic point groups and space groups. This is important in the quantum-mechanical study of a particle or quasi-particle in a molecule or crystalline solid because the eigenvalues and eigenfunctions of asystem belong to the irreducible representations of the group of symmetry operations of that system. The theory is applied to give complete tables of these representations for all the 32 point groups and 230 space groups, including the double-valued representations. For the space groups, thegroup of the symmetry operations of the k vector and its irreducible representations are given for all the special points of symmetry, lines of symmetry and planes of symmetry in the Brillouin zone. Applications occur in the electronic band structure, phonon dispersion relations and selectionrules for particle-quasiparticle interactions in solids. The theory is extended to the corepresentations of the Shubnikov (black and white) point groups and space groups.

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This book gives the complete theory of the irreducible representations of the crystallographic point groups and space groups. This is important in the quantum-mechanical study of a particle or quasi-particle in a molecule or crystalline solid because the eigenvalues and eigenfunctions of asystem belong to the irreducible representati...

Arthur P Cracknell graduated in Physics from the University of Cambridge in 1961, took his DPhil from the University of Oxford in 1964 and worked in the Physics Departments of the University of Singapore and the University of Essex before moving to Dundee as senior lecturer in 1970. He was promoted to Reader in 1974 and to Professor...

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Format:PaperbackDimensions:760 pages, 9.69 × 7.44 × 0.07 inPublished:January 16, 2010Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0199582580

ISBN - 13:9780199582587

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Table of Contents

1. Symmetry and the Solid State2. Symmetry-Adapted Functions for the Point Groups3. Space Groups4. The Representations of a Group in Terms of the Representations of an Invariant Subgroup5. The Single-Valued Representations of the 230 Space Groups6. The Double-Valued Representations of the 32 Point Groups and the 230 Space Groups7. The Magnetic Groups and their Corepresentations