Symmetry elements and Wyckoff positions (interactive)
Ga₄Ni in I23
SettingUnit cell
- Lattice constants
- a = 8.430 Å, b = 8.430 Å, c = 8.430 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 599.0 ų
- Atoms in the conventional cell
- 40 (Ga 32, Ni 8)
- Formula units Z
- 8
- Pearson symbol
- cI40 — cubic, body-centred lattice, 40 atoms per conventional cell
- Symmetry operations
- 24 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Ga1 | Ga | 8c | 8 | 0.1668 | 0.1668 | 0.1668 |
| Ni4 | Ni | 8c | 8 | 0.3345 | 0.3345 | 0.3345 |
| Ga2 | Ga | 12d | 12 | 0.6476 | 0.0000 | 0.0000 |
| Ga3 | Ga | 12e | 12 | 0.7484 | 0.5000 | 0.0000 |
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 40 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
A4B_cI40_197_cde_c-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cI40, then the space-group number 197, then the Wyckoff letters occupied by each element in turn (Ga: 8c; Ni: 8c; Ga: 12d; Ga: 12e). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A4B_cI40_197_cde_c-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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