Table 2. The presence of a pseudocentring operator (x + ½, y, z) in P21 can lead to an interesting pathology.
If all operators are crystallographic operators and (x + ½, y, z) is designated to be a lattice translation, then a number of groups can be formed. See Fig. 2 ▶ and the main text for details.
| Name | Operators | Description |
|---|---|---|
| A | (x, y, z) | Identity |
| B | (−x, y + ½, −z) | 21 through (0, 0, 0) |
| C | (x + ½, y, z) | Lattice translation |
| D | (−x + ½, y + ½, −z) | 21 through (¼, 0, 0) |