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Crystallographic Topology - Appendix A (1795 words) |
 | There are 1651 groups in the complete bicolor space group family, 230 of which are the regular space groups with fl symmetry operators, another 230 have simultaneously fl and white (gray) symmetry operators, and the remaining 1191 nontrivial bicolor space groups have mixed fl and white operators. |
| Bicolor groups are called magnetic groups when used to describe simultaneously the arrangement of atoms (regular symmetry) and the up/down magnetic spin vector orientations (antisymmetry) for magnetic atoms in a crystal (Opechowski and Guccione, 1965). |
| Since the group generators for space groups are given explicitly in the crystallographic space group nomenclature, the bicolor space group nomenclature is given by simply placing flags, such as *, on the antisymmetry operators in the group name (see Table A.1). |
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