Crystal Lab › The 230 space groups › Orthorhombic
No. 47 P m m m
Orthorhombic space group · 8 symmetry operations per cell · 27 Wyckoff positions
Symmetry elements and Wyckoff positions (interactive)
No. 47 P m m m
SettingLoading the group…
x = 0.10, y = 0.17, z = 0.08
- Number
- 47
- Hermann–Mauguin symbol
- P m m m
- Hall symbol
-P 2 2- Crystal system
- Orthorhombic
- Operations per cell
- 8
- General position
- 8A (site symmetry 1)
Wyckoff positions (standard setting)
| Multiplicity | Letter | Site symmetry |
|---|---|---|
| 8 | A | 1 |
| 4 | z | ..m |
| 4 | y | ..m |
| 4 | x | .m. |
| 4 | w | .m. |
| 4 | v | m.. |
| 4 | u | m.. |
| 2 | t | mm2 |
| 2 | s | mm2 |
| 2 | r | mm2 |
| 2 | q | mm2 |
| 2 | p | m2m |
| 2 | o | m2m |
| 2 | n | m2m |
| 2 | m | m2m |
| 2 | l | 2mm |
| 2 | k | 2mm |
| 2 | j | 2mm |
| 2 | i | 2mm |
| 1 | h | mmm |
| 1 | g | mmm |
| 1 | f | mmm |
| 1 | e | mmm |
| 1 | d | mmm |
| 1 | c | mmm |
| 1 | b | mmm |
| 1 | a | mmm |
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.