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Cu₂Mg Cubic Laves (C15)
Cubic · space group Fd-3m (No. 227) · Pearson cF24 · Strukturbericht C15 · mineral: laves
Symmetry elements and Wyckoff positions (interactive)
Cu₂Mg Cubic Laves (C15) in Fd-3m
SettingUnit cell
- Lattice constants
- a = 7.020 Å, b = 7.020 Å, c = 7.020 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 345.9 ų
- Atoms in the conventional cell
- 24 (Mg 8, Cu 16)
- Formula units Z
- 8
- Pearson symbol
- cF24 — cubic, face-centred lattice, 24 atoms per conventional cell
- Symmetry operations
- 192 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Mg2 | Mg | 8b | 8 | 0.3750 | 0.3750 | 0.3750 |
| Cu1 | Cu | 16c | 16 | 0.0000 | 0.0000 | 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 24 atoms drawn above are these sites multiplied by all 192 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
A2B_cF24_227_c_b-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cF24, then the space-group number 227, then the Wyckoff letters occupied by each element in turn (Mg: 8b; Cu: 16c). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
Al₂Ce, Al₂Dy, Al₂Er, Al₂Eu, Al₂Gd, Al₂Ho, Al₂La, Al₂Lu, Al₂Nb, Al₂Nd, Al₂Pr, Al₂Pu, Al₂Sc, Al₂Sm, Al₂Tb, Al₂Tm, Al₂U, Al₂Y, Al₂Yb, Au₂Bi, Au₂Na, Au₂Pb, Be₂Nb, Be₂Ta, Be₂Ti, Bi₂Cs, Bi₂K, Bi₂Rb, Co₂Ce, Co₂Dy, Co₂Er, Co₂Gd, Co₂Ho, Co₂Lu, Co₂Nb, Co₂Nd, Co₂Pr, Co₂Pu, Co₂Sc, Co₂Sm, Co₂Ta, Co₂Tb, Co₂Ti, Co₂Tm, Co₂U, Co₂Y, Co₂Yb, Co₂Zr, Cr₂Hf, Cr₂Ta, Cr₂Ti, Cr₂Zr, Fe₂Ce, Fe₂Dy, Fe₂Er, Fe₂Gd, Fe₂Hf, Fe₂Ho, Fe₂Lu, Fe₂Pu, Fe₂Sm, Fe₂Tm, Fe₂U, Fe₂Y, Fe₂Zr, Hf₂Mo, In₂Th, Ir₂Ca, Ir₂Ce, Ir₂Dy, Ir₂Er, Ir₂Eu, Ir₂Gd, Ir₂Ho, Ir₂La, Ir₂Lu, Ir₂Nd, Ir₂Pr, Ir₂Sc, Ir₂Sr, Ir₂Tb, Ir₂Th, Ir₂Tm, Ir₂U, Ir₂Y, Ir₂Zr, Mg₂Gd,
Note: C15, Cubic Laves.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2B_cF24_227_c_b-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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