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γ-Ga₂O₃

Cubic · space group Fd-3m (No. 227) · Pearson cF120

Symmetry elements and Wyckoff positions (interactive)

γ-Ga₂O₃ in Fd-3m

Setting
Loading the group…
x = 0.10, y = 0.17, z = 0.08

Unit 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

SiteElementWyckoffMultiplicityxyz
Ga1Ga8a80.12500.12500.1250
Ga2Ga16c160.00000.00000.0000
Ga3Ga16d160.50000.50000.5000
O5O32e320.25520.25520.2552
Ga4Ga48f480.36800.12500.1250

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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