Crystal Lab › Prototype structures › Hexagonal
Zr₅Ir₃
Hexagonal · space group P6122 (No. 178) · Pearson hP48
Symmetry elements and Wyckoff positions (interactive)
Zr₅Ir₃ in P6122
SettingUnit cell
- Lattice constants
- a = 7.931 Å, b = 7.931 Å, c = 17.010 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 926.5 ų
- Atoms in the conventional cell
- 48 (Ir 18, Zr 30)
- Formula units Z
- 6
- Pearson symbol
- hP48 — hexagonal / trigonal, primitive lattice, 48 atoms per conventional cell
- Symmetry operations
- 12 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Ir1 | Ir | 6a | 6 | 0.6111 | 0.0000 | 0.0000 |
| Zr3 | Zr | 6a | 6 | 0.2840 | 0.0000 | 0.0000 |
| Zr4 | Zr | 6b | 6 | 0.3710 | 0.7420 | 0.2500 |
| Zr5 | Zr | 6b | 6 | 0.6557 | 0.3114 | 0.2500 |
| Ir2 | Ir | 12c | 12 | 0.4137 | 0.0187 | 0.1444 |
| Zr6 | Zr | 12c | 12 | 0.2384 | 0.0062 | 0.3396 |
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 48 atoms drawn above are these sites multiplied by all 12 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
A3B5_hP48_178_ac_a2bc-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP48, then the space-group number 178, then the Wyckoff letters occupied by each element in turn (Ir: 6a; Zr: 6a; Zr: 6b; Zr: 6b; Ir: 12c; Zr: 12c). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A3B5_hP48_178_ac_a2bc-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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