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Cu₄SnMg

Cubic · space group F-43m (No. 216) · Pearson cF24

Symmetry elements and Wyckoff positions (interactive)

Cu₄SnMg in F-43m

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

Unit cell

Lattice constants
a = 7.042 Å, b = 7.042 Å, c = 7.042 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
349.2 ų
Atoms in the conventional cell
24 (Mg 4, Sn 4, Cu 16)
Formula units Z
4
Pearson symbol
cF24 — cubic, face-centred lattice, 24 atoms per conventional cell
Symmetry operations
96 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Mg2Mg4a40.00000.00000.0000
Sn3Sn4c40.25000.25000.2500
Cu1Cu16e160.62500.62500.6250

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 96 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

A4BC_cF24_216_e_a_c-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 216, then the Wyckoff letters occupied by each element in turn (Mg: 4a; Sn: 4c; Cu: 16e). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

Co₄CeMg, Co₄TbMg, Co₄USn, Co₄YMg, Cu₄AgZr, Cu₄CaIn, Cu₄DyAg, Cu₄DyAu, Cu₄DyIn, Cu₄ErAg, Cu₄ErAu, Cu₄ErCd, Cu₄ErPd, Cu₄GdAg, Cu₄GdAu, Cu₄GdIn, Cu₄GdPd, Cu₄HoAg, Cu₄HoAu, Cu₄HoCd, Cu₄HoIn, Cu₄InCa, Cu₄InMg, Cu₄InYb, Cu₄LuAu, Cu₄MnSn, Cu₄NdAg, Cu₄NdAu, Cu₄NdMg, Cu₄NdPd, Cu₄ScIn, Cu₄ScSn, Cu₄SmAg, Cu₄SmPd, Cu₄TbAg, Cu₄TbAu, Cu₄TbIn, Cu₄TmAg, Cu₄TmBe, Cu₄TmCd, Cu₄UAg, Cu₄UAu, Cu₄UPd, Cu₄YIn, Cu₄YMg, Cu₄YbAg, Cu₄YbAu, Cu₄YbCd, Cu₄YbIn, Cu₄YbNi, Cu₄YbPd, Ni₄AlU, Ni₄CaMg, Ni₄CeCd, Ni₄CeMg, Ni₄CeMn, Ni₄DyAu, Ni₄DyCd, Ni₄ErAu, Ni₄ErCd, Ni₄ErMn, Ni₄GdAu, Ni₄GdCd, Ni₄GdIn, Ni₄GdMg, Ni₄HoAu, Ni₄HoCd, Ni₄In

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A4BC_cF24_216_e_a_c-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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