Crystal Lab › Prototype structures › Monoclinic
Lu₂Co₃Si₅
Monoclinic · space group C12/c1 (No. 15) · Pearson mC40
Symmetry elements and Wyckoff positions (interactive)
Lu₂Co₃Si₅ in C12/c1
SettingUnit cell
- Lattice constants
- a = 11.018 Å, b = 11.358 Å, c = 9.370 Å; α = 90.00°, β = 150.49°, γ = 90.00°
- Cell volume
- 577.6 ų
- Atoms in the conventional cell
- 40 (Co 12, Si 20, Lu 8)
- Formula units Z
- 4
- Pearson symbol
- mC40 — monoclinic, base-centred lattice, 40 atoms per conventional cell
- Symmetry operations
- 8 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Co1 | Co | 4e | 4 | 0.0000 | 0.7531 | 0.2500 |
| Si4 | Si | 4e | 4 | 0.0000 | 0.9634 | 0.2500 |
| Si5 | Si | 4e | 4 | 0.0000 | 0.2627 | 0.2500 |
| Si6 | Si | 4e | 4 | 0.0000 | 0.5237 | 0.2500 |
| Co2 | Co | 8f | 8 | 0.2772 | 0.6092 | 0.9292 |
| Lu3 | Lu | 8f | 8 | 0.7476 | 0.8875 | 0.7303 |
| Si7 | Si | 8f | 8 | 0.2477 | 0.6520 | 0.6654 |
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 8 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
A3B2C5_mC40_15_ef_f_3ef-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol mC40, then the space-group number 15, then the Wyckoff letters occupied by each element in turn (Co: 4e; Si: 4e; Si: 4e; Si: 4e; Co: 8f; Lu: 8f; Si: 8f). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
Dy₂Co₃Si₅, Sc₂Co₃Si₅, Y₂Co₃Si₅ <!--beginning with an
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A3B2C5_mC40_15_ef_f_3ef-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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