Crystal Lab › Prototype structures › Cubic
α-ReO₃ (D0₉)
Cubic · space group Pm-3m (No. 221) · Pearson cP4 · Strukturbericht D09
Symmetry elements and Wyckoff positions (interactive)
α-ReO₃ (D0₉) in Pm-3m
SettingUnit cell
- Lattice constants
- a = 3.734 Å, b = 3.734 Å, c = 3.734 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 52.1 ų
- Atoms in the conventional cell
- 4 (Re 1, O 3)
- Formula units Z
- 1
- Pearson symbol
- cP4 — cubic, primitive lattice, 4 atoms per conventional cell
- Symmetry operations
- 48 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Re2 | Re | 1b | 1 | 0.5000 | 0.5000 | 0.5000 |
| O1 | O | 3c | 3 | 0.0000 | 0.5000 | 0.5000 |
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 48 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
A3B_cP4_221_c_b-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cP4, then the space-group number 221, then the Wyckoff letters occupied by each element in turn (Re: 1b; O: 3c). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
AlF₃, HfF₃, MoF₃, NCu₃, NNa₃, NbF₃, PbI₃, ScF₃, TaF₃, UO₃, WO₃ <!--beginning with an
Note: D0₉, α-ReO₃.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A3B_cP4_221_c_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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