Crystal Lab › The 230 space groups › Tetragonal
No. 135 P 42/m b c
Tetragonal space group · 16 symmetry operations per cell · 9 Wyckoff positions · 2 settings
Symmetry elements and Wyckoff positions (interactive)
No. 135 P 42/m b c
SettingLoading the group…
x = 0.10, y = 0.17, z = 0.08
- Number
- 135
- Hermann–Mauguin symbol
- P 42/m b c
- Hall symbol
-P 4c 2ab- Crystal system
- Tetragonal
- Operations per cell
- 16
- General position
- 16i (site symmetry 1)
Wyckoff positions (standard setting)
| Multiplicity | Letter | Site symmetry |
|---|---|---|
| 16 | i | 1 |
| 8 | h | m.. |
| 8 | g | ..2 |
| 8 | f | 2.. |
| 8 | e | 2.. |
| 4 | d | 2.2 2 |
| 4 | c | 2/m.. |
| 4 | b | -4.. |
| 4 | a | 2/m.. |
How to read it
- Each symmetry element drawn in the cell is worked out from the group’s operations: rotation and screw axes as lines (arrow = direction; dashed = screw), mirror and glide planes as sheets (dashed outline = glide), inversion centres as dots; rotoinversion axes are dotted. Colours: 2-fold red, 3-fold green, 4-fold blue, 6-fold purple.
- The multiplicity is how many equivalent points an atom on that site generates in the conventional cell; the general position has the highest multiplicity, equal to the number of operations.
- Site symmetry is the point group that leaves that position fixed; a special position (lower multiplicity) sits on a symmetry element — press + on a row to see its atoms land on the drawn elements.