Some comments on the theory of space-group representations. III. The completeness of the identification of stars in the representation domain for each space group
A P Cracknell; B L Davies; A P Cracknell; Carnegie Lab. of Phys., Univ. of Dundee, Dundee, UK; B L Davies; Carnegie Lab. of Phys., Univ. of Dundee, Dundee, UK
Журнал:
Journal of Physics C: Solid State Physics
Дата:
1977-08-14
Аннотация:
For pt.II see ibid., vol.3, p.619, 1970. Published sets of tables of the irreducible representations of the space groups are restricted to k vectors within Omega , the basic domain, whereas for a complete identification of all the irreducible representations it is necessary to consider phi , the representation domain, rather than just Omega . The representation domain, phi , is identified for every space group. A general procedure is described that enables one to identify all those additional special k vectors in ( phi - Omega ) that must be included in order to ensure that one, and only one, k vector from each star is identified.
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