Crystal Lab › Prototype structures › Cubic
C-AlRuNi (Al₂₀Ni₃Ru₅)
Cubic · space group Pm-3 (No. 200) · Pearson cP31
Symmetry elements and Wyckoff positions (interactive)
C-AlRuNi (Al₂₀Ni₃Ru₅) in Pm-3
SettingUnit cell
- Lattice constants
- a = 7.709 Å, b = 7.709 Å, c = 7.709 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 458.1 ų
- Atoms in the conventional cell
- 31 (Ni 2, Al 23, Ru 6)
- Formula units Z
- 1
- Pearson symbol
- cP31 — cubic, primitive lattice, 31 atoms per conventional cell
- Symmetry operations
- 24 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Ni4 | Ni | 1a | 1 | 0.0000 | 0.0000 | 0.0000 |
| Ni5 | Ni | 1b | 1 | 0.5000 | 0.5000 | 0.5000 |
| Al1 | Al | 3c | 3 | 0.0000 | 0.5000 | 0.5000 |
| Ru6 | Ru | 6f | 6 | 0.7966 | 0.0000 | 0.5000 |
| Al2 | Al | 8i | 8 | 0.6840 | 0.6840 | 0.6840 |
| Al3 | Al | 12j | 12 | 0.0000 | 0.8250 | 0.7035 |
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 31 atoms drawn above are these sites multiplied by all 24 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
A23B2C6_cP31_200_cij_ab_f-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cP31, then the space-group number 200, then the Wyckoff letters occupied by each element in turn (Ni: 1a; Ni: 1b; Al: 3c; Ru: 6f; Al: 8i; Al: 12j). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: C-AlRuNi.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A23B2C6_cP31_200_cij_ab_f-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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