The Mathematical Theory Of Symmetry In Solids

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ID: 295790
2009
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Abstract
Abstract 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 a system 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, the group 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 selection rules for particle-quasiparticle interactions in solids. The theory is extended to the corepresentations of the Shubnikov (black and white) point groups and space groups.
Reference Key
openalex_W4388400379 Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Christopher Bradley, Arthur P. Cracknell
Journal Oxford University Press eBooks
Year 2009
DOI
10.1093/oso/9780199582587.001.0001
URL
https://doi.org/10.1093/oso/9780199582587.001.0001
Keywords Keywords not found

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