Symmetry elements and Wyckoff positions (interactive)
KW₃Br₇ in Pn-3
SettingUnit cell
- Lattice constants
- a = 13.804 Å, b = 13.804 Å, c = 13.804 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 2630.4 ų
- Atoms in the conventional cell
- 90 (K 10, Br 56, W 24)
- Formula units Z
- 2
- Pearson symbol
- cP90 — cubic, primitive lattice, 90 atoms per conventional cell
- Symmetry operations
- 24 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| K4 | K | 4b | 4 | 0.0000 | 0.0000 | 0.0000 |
| K5 | K | 6d | 6 | 0.2500 | 0.7500 | 0.7500 |
| Br1 | Br | 8e | 8 | 0.6348 | 0.6348 | 0.6348 |
| Br2 | Br | 24h | 24 | 0.6968 | 0.5502 | 0.3861 |
| Br3 | Br | 24h | 24 | 0.7977 | 0.4239 | 0.5981 |
| W6 | W | 24h | 24 | 0.6242 | 0.4687 | 0.5420 |
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 90 atoms drawn above are these sites multiplied by all 24 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
A28B5C12_cP90_201_e2h_bd_h-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cP90, then the space-group number 201, then the Wyckoff letters occupied by each element in turn (K: 4b; K: 6d; Br: 8e; Br: 24h; Br: 24h; W: 24h). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
KMo₃Br₇, TlW₃Br₇ <!--beginning with an
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A28B5C12_cP90_201_e2h_bd_h-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.
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