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Published in:
2012 | OriginalPaper | Chapter
10. Space Groups
Author : Dr. Walter Borchardt-Ott
Published in: Crystallography
Publisher: Springer Berlin Heidelberg
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Abstract
The 32 point groups are the symmetry groups of many molecules and of all crystals, so long as only the morphology is considered. Space groups give the symmetry not only of crystal lattices, but also of crystal structures.
The space-group symbols for the 14 Bravais lattices are listed in Table 7.4. The space-group symbol does not in general enumerate all the symmetry elements of the space group. In particular, the space groups of centered lattices contain new symmetry operations. These are compound symmetry operations which arise through reflection and translation (1) and rotation and translation (2) (cf. Sect. 6.4 and Table 6.2).
Figure 10.2 contrasts the operation of a mirror plane with that of a glide plane on a point lying off the planes.