Table 1. Changing the hand of substructure sites.
For nonchiral space groups the other hand of the heavy-atom sites is found by the operation (x, y, z)→(−x, −y, −z), except for three space groups (I41, I4122 and I4132) where there is also a change of origin. For the chiral space groups the change of hand of the heavy-atom sites with the operation (x, y, z)→(−x, −y, −z) is accompanied by a change of space group to the other chiral form.
| System | Chiral | Nonchiral |
|---|---|---|
| Triclinic | P1 | |
| Monoclinic | P2, P21, C2 | |
| Orthorhombic | P222, P2221, P21212, P2122, C222, C2221, I222, I212121, F222 | |
| Tetragonal | P41:P43 | P4, P41, I4, I41† |
| P4122:P4322 | P422, P4212, P422, P4212, I422, I4122‡ | |
| Trigonal | P31:P32 | P3, R3 |
| P3112:P3212 | P312, P321, R32 | |
| P3122:P3222 | ||
| Hexagonal | P61:P65 | P6, P63 |
| P62:P64 | ||
| P6122:P6522 | P622, P6322 | |
| P6222:P6422 | ||
| Cubic | P23, F23, I23, P213, I213 | |
| P4132:P4332 | P432, P4232, F432, I432, I4132§ |
†
For I41 the origin is shifted to (½, 0, 0).
‡
For I4122 the origin is shifted to (½, 0, ¼).
§
For I4132 the origin is shifted to (¼, ¼, ¼).