Crystal Lab › Prototype structures › Tetragonal
α'-V₈O OV₈
Tetragonal · space group P42/mnm (No. 136) · Pearson tP18
Symmetry elements and Wyckoff positions (interactive)
α'-V₈O in P42/mnm
SettingUnit cell
- Lattice constants
- a = 8.754 Å, b = 8.754 Å, c = 2.996 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 229.6 ų
- Atoms in the conventional cell
- 18 (O 2, V 16)
- Formula units Z
- 2
- Pearson symbol
- tP18 — tetragonal, primitive lattice, 18 atoms per conventional cell
- Symmetry operations
- 16 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| O1 | O | 2a | 2 | 0.0000 | 0.0000 | 0.0000 |
| V2 | V | 4f | 4 | 0.1250 | 0.1250 | 0.0000 |
| V3 | V | 4f | 4 | 0.3750 | 0.3750 | 0.0000 |
| V4 | V | 8i | 8 | 0.6250 | 0.1250 | 0.0000 |
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 18 atoms drawn above are these sites multiplied by all 16 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
AB8_tP18_136_a_2fi-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tP18, then the space-group number 136, then the Wyckoff letters occupied by each element in turn (O: 2a; V: 4f; V: 4f; V: 8i). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: α'-V₈O.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB8_tP18_136_a_2fi-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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