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Zn₂₂Zr

Cubic · space group Fd-3m (No. 227) · Pearson cF184

Symmetry elements and Wyckoff positions (interactive)

Zn₂₂Zr in Fd-3m

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

Unit cell

Lattice constants
a = 14.101 Å, b = 14.101 Å, c = 14.101 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
2803.8 ų
Atoms in the conventional cell
184 (Zr 8, Zn 176)
Formula units Z
8
Pearson symbol
cF184 — cubic, face-centred lattice, 184 atoms per conventional cell
Symmetry operations
192 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Zr5Zr8a80.12500.12500.1250
Zn1Zn16c160.00000.00000.0000
Zn2Zn16d160.50000.50000.5000
Zn3Zn48f480.76500.12500.1250
Zn4Zn96g960.56200.56200.3195

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 184 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

A22B_cF184_227_cdfg_a-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cF184, then the space-group number 227, then the Wyckoff letters occupied by each element in turn (Zr: 8a; Zn: 16c; Zn: 16d; Zn: 48f; Zn: 96g). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

Be₂₂Mo, Be₂₂Re, Be₂₂W, Zn₂₂Hf, Al₁₈Cr₂Mg₃, Ce(TiAl₁₀)₂, Dy(RhZn₁₀)₂, U(VAl₁₀)₂, Y(RuZn₁₀)₂ <!--beginning with an

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A22B_cF184_227_cdfg_a-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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