Crystal Lab › Prototype structures › Hexagonal
Co₃W₉C₄
Hexagonal · space group P63/mmc (No. 194) · Pearson hP32
Symmetry elements and Wyckoff positions (interactive)
Co₃W₉C₄ in P63/mmc
SettingUnit cell
- Lattice constants
- a = 7.826 Å, b = 7.826 Å, c = 7.826 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 415.1 ų
- Atoms in the conventional cell
- 32 (C 8, Co 12, W 12)
- Formula units Z
- 4
- Pearson symbol
- hP32 — hexagonal / trigonal, primitive lattice, 32 atoms per conventional cell
- Symmetry operations
- 24 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| C1 | C | 2c | 2 | 0.3333 | 0.6667 | 0.2500 |
| C2 | C | 6g | 6 | 0.5000 | 1.0000 | 0.0000 |
| Co3 | Co | 6h | 6 | 0.8900 | 0.7800 | 0.2500 |
| Co4 | Co | 6h | 6 | 0.5550 | 0.1100 | 0.2500 |
| W5 | W | 12k | 12 | 0.2050 | 0.4100 | 0.0750 |
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 32 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
A2B3C3_hP32_194_cg_2h_k-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP32, then the space-group number 194, then the Wyckoff letters occupied by each element in turn (C: 2c; C: 6g; Co: 6h; Co: 6h; W: 12k). 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 A2B3C3_hP32_194_cg_2h_k-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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