Crystal Lab › Prototype structures › Cubic
γ-Ga₂O₃
Cubic · space group Fd-3m (No. 227) · Pearson cF120
Symmetry elements and Wyckoff positions (interactive)
γ-Ga₂O₃ in Fd-3m
SettingUnit cell
- Lattice constants
- a = 8.238 Å, b = 8.238 Å, c = 8.238 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 559.0 ų
- Atoms in the conventional cell
- 120 (Ga 88, O 32)
- Formula units Z
- 8
- Pearson symbol
- cF120 — cubic, face-centred lattice, 120 atoms per conventional cell
- Symmetry operations
- 192 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Ga1 | Ga | 8a | 8 | 0.1250 | 0.1250 | 0.1250 |
| Ga2 | Ga | 16c | 16 | 0.0000 | 0.0000 | 0.0000 |
| Ga3 | Ga | 16d | 16 | 0.5000 | 0.5000 | 0.5000 |
| O5 | O | 32e | 32 | 0.2552 | 0.2552 | 0.2552 |
| Ga4 | Ga | 48f | 48 | 0.3680 | 0.1250 | 0.1250 |
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 120 atoms drawn above are these sites multiplied by all 192 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
A11B4_cF120_227_acdf_e-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cF120, then the space-group number 227, then the Wyckoff letters occupied by each element in turn (Ga: 8a; Ga: 16c; Ga: 16d; O: 32e; Ga: 48f). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: \gamma-Ga₂O₃.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A11B4_cF120_227_acdf_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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