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Mg₆Si₇Cu₁₆

Cubic · space group Fm-3m (No. 225) · Pearson cF116

Symmetry elements and Wyckoff positions (interactive)

Mg₆Si₇Cu₁₆ in Fm-3m

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

Unit cell

Lattice constants
a = 11.670 Å, b = 11.670 Å, c = 11.670 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
1589.3 ų
Atoms in the conventional cell
116 (Si 28, Mg 24, Cu 64)
Formula units Z
4
Pearson symbol
cF116 — cubic, face-centred lattice, 116 atoms per conventional cell
Symmetry operations
192 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Si4Si4a40.00000.00000.0000
Si5Si24d240.00000.25000.2500
Mg3Mg24e240.31760.00000.0000
Cu1Cu32f320.33160.33160.3316
Cu2Cu32f320.12300.12300.1230

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 116 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

A16B6C7_cF116_225_2f_e_ad-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cF116, then the space-group number 225, then the Wyckoff letters occupied by each element in turn (Si: 4a; Si: 24d; Mg: 24e; Cu: 32f; Cu: 32f). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

Hf₆Ge₇Co₁₆, Hf₆Ge₇Ni₁₆, Hf₆Si₇Co₁₆, Hf₆Si₇Ni₁₆, Mg₆Ge₇Ni₁₆, Mg₆Si₇Co₁₆, Mg₆Si₇Cu₁₆, Mg₆Si₇Ni₁₆, Mn₆Ge₇Ni₁₆, Mn₆Si₇Ni₁₆, Nb₆Ge₇Co₁₆, Nb₆Ge₇Ni₁₆, Nb₆Si₇Co₁₆, Nb₆Si₇Ni₁₆, Sc₆Ge₇Ni₁₆, Sc₆Si₇Co₁₆, Sc₆Si₇Ni₁₆, Ta₆Ge₇Co₁₆, Ta₆Ge₇Ni₁₆, Ta₆Si₇Co₁₆, Ta₆Si₇Ni₁₆, Ti₆Ge₇Ni₁₆, Ti₆Si₇Co₁₆, Ti₆Si₇Ni₁₆, V₆Si₇Ni₁₆, Zr₆Ge₇Co₁₆, Zr₆Ge₇Ni₁₆, Zr₆Si₇Co₁₆, Zr₆Si₇Ni₁₆ <!--beginning with an

Note: Ternary D8_{a}.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A16B6C7_cF116_225_2f_e_ad-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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