Crystal Lab › The 230 space groups › Cubic
No. 225 F m -3 m
Cubic space group · 192 symmetry operations per cell · 12 Wyckoff positions
Symmetry elements and Wyckoff positions (interactive)
No. 225 F m -3 m
SettingLoading the group…
x = 0.10, y = 0.17, z = 0.08
- Number
- 225
- Hermann–Mauguin symbol
- F m -3 m
- Hall symbol
-F 4 2 3- Crystal system
- Cubic
- Operations per cell
- 192
- General position
- 192l (site symmetry 1)
Wyckoff positions (standard setting)
| Multiplicity | Letter | Site symmetry |
|---|---|---|
| 192 | l | 1 |
| 96 | k | ..m |
| 96 | j | m.. |
| 48 | i | m.m 2 |
| 48 | h | m.m 2 |
| 48 | g | 2.m m |
| 32 | f | .3m |
| 24 | e | 4m. m |
| 24 | d | m.m m |
| 8 | c | -43m |
| 4 | b | m-3m |
| 4 | a | m-3m |
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.
Crystal Lab structures in this group
- Face-centred cubic (ccp) (Cu) — Elemental
- Rock salt (halite) (NaCl) — AB, 6:6
- Fluorite (CaF₂) — AB₂, 8:4
- Antifluorite (Na₂O) — A₂B, 4:8
- Silver chloride (Frenkel defects) (AgCl) — AB, 6:6 (rock salt)
- MOF-5 (IRMOF-1) (Zn₄O(BDC)₃) — Metal–organic framework
- HKUST-1 (Cu-BTC) (Cu₃(BTC)₂) — Metal–organic framework