Symmetry elements and Wyckoff positions (interactive)
KB₆H₆ in Fm-3
SettingUnit cell
- Lattice constants
- a = 10.610 Å, b = 10.610 Å, c = 10.610 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 1194.4 ų
- Atoms in the conventional cell
- 104 (K 8, B 48, H 48)
- Formula units Z
- 8
- Pearson symbol
- cF104 — cubic, face-centred lattice, 104 atoms per conventional cell
- Symmetry operations
- 96 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| K3 | K | 8c | 8 | 0.2500 | 0.2500 | 0.2500 |
| B1 | B | 48h | 48 | 0.0000 | 0.5827 | 0.6359 |
| H2 | H | 48h | 48 | 0.0000 | 0.6380 | 0.7200 |
The multiplicity and the Wyckoff letter say how many copies of the site the group makes in one cell and on which kind of symmetry element the site sits; the 104 atoms drawn above are these sites multiplied by all 96 operations. Press Wyckoff under Colour to see the sites, and tick a symmetry element on the left to see which atoms lie on it.
How to read the label
A6B6C_cF104_202_h_h_c-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cF104, then the space-group number 202, then the Wyckoff letters occupied by each element in turn (K: 8c; B: 48h; H: 48h). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A6B6C_cF104_202_h_h_c-001 (M. J. Mehl et al., Comput. Mater. Sci. 136, S1 (2017); D. Hicks et al., ibid. 161, S1 (2019) and 199, 110450 (2021); S. Eckert et al., ibid. 240, 112988 (2024)). Symmetry elements, Wyckoff assignment and the diagram are computed on this page from the group operations.
· Space group Fm-3 (4 prototypes) · All prototypes · α-CuZrF₆ — CuF₆Zr →