Crystal Lab › Prototype structures › Hexagonal
Lu₂CoGa₃
Hexagonal · space group P63/mmc (No. 194) · Pearson hP24
Symmetry elements and Wyckoff positions (interactive)
Lu₂CoGa₃ in P63/mmc
SettingUnit cell
- Lattice constants
- a = 8.659 Å, b = 8.659 Å, c = 6.823 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 443.0 ų
- Atoms in the conventional cell
- 24 (Lu 8, Co 4, Ga 12)
- Formula units Z
- 4
- Pearson symbol
- hP24 — hexagonal / trigonal, primitive lattice, 24 atoms per conventional cell
- Symmetry operations
- 24 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Lu1 | Lu | 2b | 2 | 0.0000 | 0.0000 | 0.2500 |
| Co2 | Co | 4f | 4 | 0.3333 | 0.6667 | 0.5500 |
| Lu3 | Lu | 6h | 6 | 0.4769 | 0.9538 | 0.2500 |
| Ga4 | Ga | 12k | 12 | 0.1692 | 0.3384 | 0.9568 |
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 24 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
AB3C2_hP24_194_f_k_bh-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP24, then the space-group number 194, then the Wyckoff letters occupied by each element in turn (Lu: 2b; Co: 4f; Lu: 6h; Ga: 12k). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
Ce₂RhSi₃, Dy₂CoGa₃, Dy₂RhSi₃, Er₂CoGa₃, Er₂RhSi₃, Gd₂PdSi₃, Gd₂RhSi₃, Ho₂CoGa₃, Ho₂RhSi₃, La₂RhSi₃, Nd₂PdSi₃, Nd₂RhSi₃, Tb₂CoGa₃, Tb₂RhSi₃, Tm₂CoGa₃, Y₂CoGa₃, Y₂RhSi₃, Yb₂CoGa₃ <!--beginning with an
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB3C2_hP24_194_f_k_bh-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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