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- W4256291008 abstract "Throughout this chapter the representation theory for space groups is established. To do so, the concept of the k-space is introduced. The wave-vector k represents a quantum number which is a consequence of the translational invariance in lattice periodic systems. As the k-space is lattice periodic, it suffices in most cases to concentrate on the electronic states represented by k-vectors within a minimal cell, the so called Brillouin zone. In general, irreducible representations of space groups can be successively calculated by induction as soon as the irreducible representations of a normal subgroup are known. As the group of pure lattice translations is a normal subgroup where the irreducible representations can be calculated analytically, it can be used as a starting point. A specific simplification occurs in the case of symmorphic space groups, where the group can be written as the semidirect product of a point group containing pure rotations and the translation group of the lattice." @default.
- W4256291008 created "2022-05-12" @default.
- W4256291008 date "2018-05-18" @default.
- W4256291008 modified "2023-09-24" @default.
- W4256291008 title "Symmetry and Representation Theory in k-Space" @default.
- W4256291008 doi "https://doi.org/10.1002/9783527695799.ch6" @default.
- W4256291008 hasPublicationYear "2018" @default.
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