Crystal Lab › Prototype structures › Cubic
γ-Brass (Cu₅Zn₈, D8₂)
Cubic · space group I-43m (No. 217) · Pearson cI52 · Strukturbericht D82 · mineral: gamma-brass
Symmetry elements and Wyckoff positions (interactive)
γ-Brass (Cu₅Zn₈, D8₂) in I-43m
SettingUnit cell
- Lattice constants
- a = 8.866 Å, b = 8.866 Å, c = 8.866 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 697.0 ų
- Atoms in the conventional cell
- 52 (Cu 20, Zn 32)
- Formula units Z
- 4
- Pearson symbol
- cI52 — cubic, body-centred lattice, 52 atoms per conventional cell
- Symmetry operations
- 48 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Cu1 | Cu | 8c | 8 | 0.3277 | 0.3277 | 0.3277 |
| Zn3 | Zn | 8c | 8 | 0.1078 | 0.1078 | 0.1078 |
| Cu2 | Cu | 12e | 12 | 0.6442 | 0.0000 | 0.0000 |
| Zn4 | Zn | 24g | 24 | 0.1884 | 0.1884 | 0.5367 |
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 52 atoms drawn above are these sites multiplied by all 48 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
A5B8_cI52_217_ce_cg-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cI52, then the space-group number 217, then the Wyckoff letters occupied by each element in turn (Cu: 8c; Zn: 8c; Cu: 12e; Zn: 24g). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
Cu_{x}Zn_{1-x}, Cu_{x}Cd_{1-x}, Fe_{x}Zn_{1-x} <!--beginning with an
Note: D8₂, \gamma-Brass.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A5B8_cI52_217_ce_cg-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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