Crystal Lab › Prototype structures › Monoclinic
Anhydrous KAuBr₄ AuBr₄K
Monoclinic · space group P121/c1 (No. 14) · Pearson mP24
Symmetry elements and Wyckoff positions (interactive)
Anhydrous KAuBr₄ in P121/c1
SettingUnit cell
- Lattice constants
- a = 9.031 Å, b = 6.648 Å, c = 12.800 Å; α = 90.00°, β = 96.88°, γ = 90.00°
- Cell volume
- 763.0 ų
- Atoms in the conventional cell
- 24 (Au 4, Br 16, K 4)
- Formula units Z
- 4
- Pearson symbol
- mP24 — monoclinic, primitive lattice, 24 atoms per conventional cell
- Symmetry operations
- 4 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Au1 | Au | 2a | 2 | 0.0000 | 0.0000 | 0.0000 |
| Au2 | Au | 2b | 2 | 0.5000 | 0.0000 | 0.0000 |
| Br3 | Br | 4e | 4 | 0.1334 | 0.2934 | 0.9523 |
| Br4 | Br | 4e | 4 | 0.9051 | 0.9462 | 0.8177 |
| Br5 | Br | 4e | 4 | 0.4944 | 0.1517 | 0.8293 |
| Br6 | Br | 4e | 4 | 0.3365 | 0.7336 | 0.9279 |
| K7 | K | 4e | 4 | 0.7872 | 0.4492 | 0.8187 |
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 24 atoms drawn above are these sites multiplied by all 4 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
AB4C_mP24_14_ab_4e_e-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol mP24, then the space-group number 14, then the Wyckoff letters occupied by each element in turn (Au: 2a; Au: 2b; Br: 4e; Br: 4e; Br: 4e; Br: 4e; K: 4e). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: Anhydrous Form.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB4C_mP24_14_ab_4e_e-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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