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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

Setting
Loading the group…
x = 0.10, y = 0.17, z = 0.08

Unit 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

SiteElementWyckoffMultiplicityxyz
Mg2Mg8b80.37500.37500.3750
Cu1Cu16c160.00000.00000.0000

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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