Holosymmetric point group

BZ, where R are the elements of the holosymmetric point group F° (F° is the point-symmetry group of the Bravais lattice and defines the appropriate crystal system). 

Figure 22 Symmetry axes of the point group O = 432 6 binary axes (diads 2 or C2) in full lines, 4 ternary axes (triads 3 or C3 ) in broken lines, 3 quaternary axes (tetrads 4 or C4) in mixed lines. Note that the presence of a tetrad implies the presence of a collinear diad. The combination of these symmetry elements creates 48 equivalent points (cf. the holosymmetric point group m3m Fig. 9). 

The point group P C PBL and when P = PBL (which is so for a holosymmetric space group) the points and lines of symmetry mark out the basic domain il of the Brillouin zone. When... 

In Sect. 3.1.2 points and fines of symmetry in the Brillouin zone were defined for the case when F = F° (holosymmetric space groups, in particular 0 and D f. In the same manner the points and lines of symmetry may be defined for the point group F C F°. Then, instead of the basic domain of the BriUouin zone the representation domain is introduced. 

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