Crystal Lab › Prototype structures › Orthorhombic
Cr₅O₁₂
Orthorhombic · space group Pbcn (No. 60) · Pearson oP68
Symmetry elements and Wyckoff positions (interactive)
Cr₅O₁₂ in Pbcn
SettingUnit cell
- Lattice constants
- a = 12.044 Å, b = 8.212 Å, c = 8.177 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 808.7 ų
- Atoms in the conventional cell
- 68 (Cr 20, O 48)
- Formula units Z
- 4
- Pearson symbol
- oP68 — orthorhombic, primitive lattice, 68 atoms per conventional cell
- Symmetry operations
- 8 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Cr1 | Cr | 4c | 4 | 0.0000 | 0.3939 | 0.2500 |
| Cr2 | Cr | 8d | 8 | 0.1719 | 0.8878 | 0.4768 |
| Cr3 | Cr | 8d | 8 | 0.0857 | 0.7517 | 0.1119 |
| O4 | O | 8d | 8 | 0.2454 | 0.7314 | 0.0906 |
| O5 | O | 8d | 8 | 0.0750 | 0.7736 | 0.3535 |
| O6 | O | 8d | 8 | 0.1003 | 0.9899 | 0.1032 |
| O7 | O | 8d | 8 | 0.0806 | 0.5080 | 0.1356 |
| O8 | O | 8d | 8 | 0.0707 | 0.2700 | 0.3741 |
| O9 | O | 8d | 8 | 0.2538 | 0.4894 | 0.3625 |
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 68 atoms drawn above are these sites multiplied by all 8 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
A5B12_oP68_60_c2d_6d-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol oP68, then the space-group number 60, then the Wyckoff letters occupied by each element in turn (Cr: 4c; Cr: 8d; Cr: 8d; O: 8d; O: 8d; O: 8d; O: 8d; O: 8d; O: 8d). 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 A5B12_oP68_60_c2d_6d-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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