Crystal Lab › Prototype structures › Trigonal
β-CuZrF₆ CuF₆Zr
Trigonal · space group R-3 (No. 148) · Pearson hR8
Symmetry elements and Wyckoff positions (interactive)
β-CuZrF₆ in R-3
SettingUnit cell
- Lattice constants
- a = 5.535 Å, b = 5.535 Å, c = 13.891 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 368.5 ų
- Atoms in the conventional cell
- 24 (Cu 3, Zr 3, F 18)
- Formula units Z
- 3
- Pearson symbol
- hR8 — hexagonal / trigonal, rhombohedral lattice, 8 atoms per conventional cell
- Symmetry operations
- 18 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Cu1 | Cu | 3a | 3 | 0.0000 | 0.0000 | 0.0000 |
| Zr3 | Zr | 3b | 3 | 0.0000 | 0.0000 | 0.5000 |
| F2 | F | 18f | 18 | 0.5529 | 0.9991 | 0.7498 |
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 24 atoms drawn above are these sites multiplied by all 18 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
AB6C_hR8_148_a_f_b-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hR8, then the space-group number 148, then the Wyckoff letters occupied by each element in turn (Cu: 3a; Zr: 3b; F: 18f). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: \beta-CuZrF₆.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB6C_hR8_148_a_f_b-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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