Space Groups, Brillouin Zone and the Group of k
Part of the
Undergraduate Texts in Contemporary Physics
book series (UTCP)
Consider that a finite group G has the subgroup S. We recall that the order of S divides the order of G, so that g/s = n, where n is an integer and g and s are the orders of G and S, respectively (Section 1.4). Let p be an element of G but not of S, so that p ∈ G - S (Fig. 5.1).
KeywordsBrillouin Zone Point Group Factor Group Reciprocal Lattice Translation Vector
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
The factor group was introduced by E’variste Galois (1811–1832). See Chapter 7.Google Scholar
For further discussion, see J.F. Cornwell, Group Theory in Physics
(see Bibliography).Google Scholar
This scheme is described in N.F. Henry and K. Lonsdale; G. Burns (see Bibliography).Google Scholar
© Springer-Verlag New York, Inc. 2004