Crystal Lab › Prototype structures › Cubic
Cubic Cr₄PtGa₁₇ Cr₄Ga₁₇Pt
Cubic · space group F-43m (No. 216) · Pearson cF88
Symmetry elements and Wyckoff positions (interactive)
Cubic Cr₄PtGa₁₇ in F-43m
SettingUnit cell
- Lattice constants
- a = 11.349 Å, b = 11.349 Å, c = 11.349 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 1461.7 ų
- Atoms in the conventional cell
- 88 (Ga 68, Pt 4, Cr 16)
- Formula units Z
- 4
- Pearson symbol
- cF88 — cubic, face-centred lattice, 88 atoms per conventional cell
- Symmetry operations
- 96 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Ga2 | Ga | 4a | 4 | 0.0000 | 0.0000 | 0.0000 |
| Pt6 | Pt | 4c | 4 | 0.2500 | 0.2500 | 0.2500 |
| Cr1 | Cr | 16e | 16 | 0.6558 | 0.6558 | 0.6558 |
| Ga3 | Ga | 16e | 16 | 0.8778 | 0.8778 | 0.8778 |
| Ga4 | Ga | 24f | 24 | 0.6837 | 0.0000 | 0.0000 |
| Ga5 | Ga | 24g | 24 | 0.4647 | 0.2500 | 0.2500 |
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 88 atoms drawn above are these sites multiplied by all 96 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
A4B17C_cF88_216_e_aefg_c-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cF88, then the space-group number 216, then the Wyckoff letters occupied by each element in turn (Ga: 4a; Pt: 4c; Cr: 16e; Ga: 16e; Ga: 24f; Ga: 24g). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: Cubic Cr₄PtGa₁₇.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A4B17C_cF88_216_e_aefg_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.
← Sm₁₁Cd₄₅ · Space group F-43m (22 prototypes) · All prototypes · LiGaCr₄O₈ →