Symmetry elements and Wyckoff positions (interactive)
Zn₂₂Zr in Fd-3m
SettingUnit 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
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Zr5 | Zr | 8a | 8 | 0.1250 | 0.1250 | 0.1250 |
| Zn1 | Zn | 16c | 16 | 0.0000 | 0.0000 | 0.0000 |
| Zn2 | Zn | 16d | 16 | 0.5000 | 0.5000 | 0.5000 |
| Zn3 | Zn | 48f | 48 | 0.7650 | 0.1250 | 0.1250 |
| Zn4 | Zn | 96g | 96 | 0.5620 | 0.5620 | 0.3195 |
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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