Crystal Lab › Prototype structures › Orthorhombic
Re₂ (VII) O₇
Orthorhombic · space group P212121 (No. 19) · Pearson oP72
Symmetry elements and Wyckoff positions (interactive)
Re₂ (VII) O₇ in P212121
SettingUnit cell
- Lattice constants
- a = 12.508 Å, b = 15.196 Å, c = 5.448 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 1035.5 ų
- Atoms in the conventional cell
- 72 (O 56, Re 16)
- Formula units Z
- 8
- Pearson symbol
- oP72 — orthorhombic, primitive lattice, 72 atoms per conventional cell
- Symmetry operations
- 4 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| O1 | O | 4a | 4 | 0.3753 | 0.3372 | 0.2550 |
| O2 | O | 4a | 4 | 0.5837 | 0.3687 | 0.2830 |
| O3 | O | 4a | 4 | 0.5006 | 0.2349 | 0.5130 |
| O4 | O | 4a | 4 | 0.5809 | 0.3822 | 0.7660 |
| O5 | O | 4a | 4 | 0.4482 | 0.4747 | 0.5190 |
| O6 | O | 4a | 4 | 0.4853 | 0.0496 | 0.4630 |
| O7 | O | 4a | 4 | 0.4480 | 0.1579 | 0.0790 |
| O8 | O | 4a | 4 | 0.3739 | 0.3375 | 0.7620 |
| O9 | O | 4a | 4 | 0.6614 | 0.1378 | 0.2310 |
| O10 | O | 4a | 4 | 0.2478 | 0.2275 | 0.0110 |
| O11 | O | 4a | 4 | 0.1606 | 0.3641 | 0.2500 |
| O12 | O | 4a | 4 | 0.2843 | 0.4727 | 0.0170 |
| O13 | O | 4a | 4 | 0.2628 | 0.0437 | 0.9670 |
| O14 | O | 4a | 4 | 0.2904 | 0.1500 | 0.5420 |
| Re15 | Re | 4a | 4 | 0.4749 | 0.3697 | 0.5656 |
| Re16 | Re | 4a | 4 | 0.2674 | 0.3637 | 0.0629 |
| Re17 | Re | 4a | 4 | 0.5262 | 0.1427 | 0.3255 |
| Re18 | Re | 4a | 4 | 0.2197 | 0.1365 | 0.8080 |
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 72 atoms drawn above are these sites multiplied by all 4 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
A7B2_oP72_19_14a_4a-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol oP72, then the space-group number 19, then the Wyckoff letters occupied by each element in turn (O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; Re: 4a; Re: 4a; Re: 4a; Re: 4a). 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 A7B2_oP72_19_14a_4a-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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