Crystal Lab › Prototype structures › Trigonal
ZrBr
Trigonal · space group R-3m (No. 166) · Pearson hR4
Symmetry elements and Wyckoff positions (interactive)
ZrBr in R-3m
SettingUnit cell
- Lattice constants
- a = 9.573 Å, b = 9.573 Å, c = 9.573 Å; α = 21.09°, β = 21.09°, γ = 21.09°
- Cell volume
- 99.4 ų
- Atoms in the conventional cell
- 4 (Br 2, Zr 2)
- Formula units Z
- 2
- Pearson symbol
- hR4 — hexagonal / trigonal, rhombohedral lattice, 4 atoms per conventional cell
- Symmetry operations
- 12 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Br1 | Br | 2c | 2 | 0.6083 | 0.6083 | 0.6083 |
| Zr2 | Zr | 2c | 2 | 0.7908 | 0.7908 | 0.7908 |
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 4 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
AB_hR4_166_c_c-006: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hR4, then the space-group number 166, then the Wyckoff letters occupied by each element in turn (Br: 2c; Zr: 2c). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
HfCl, ScCl <!--beginning with an
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB_hR4_166_c_c-006 (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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