Crystal Lab › Prototype structures › Tetragonal
V₁₃O₁₆
Tetragonal · space group I41/amd (No. 141) · Pearson tI116
Symmetry elements and Wyckoff positions (interactive)
V₁₃O₁₆ in I41/amd
SettingUnit cell
- Lattice constants
- a = 11.720 Å, b = 11.720 Å, c = 8.245 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 1132.5 ų
- Atoms in the conventional cell
- 116 (V 52, O 64)
- Formula units Z
- 4
- Pearson symbol
- tI116 — tetragonal, body-centred lattice, 116 atoms per conventional cell
- Symmetry operations
- 32 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| V4 | V | 4a | 4 | 0.0000 | 0.7500 | 0.1250 |
| V5 | V | 16f | 16 | 0.8750 | 0.0000 | 0.0000 |
| V6 | V | 16f | 16 | 0.3750 | 0.0000 | 0.0000 |
| O1 | O | 16h | 16 | 0.0000 | 0.8750 | 0.2500 |
| O2 | O | 16h | 16 | 0.0000 | 0.8750 | 0.7500 |
| V7 | V | 16h | 16 | 0.0000 | 0.8750 | 0.5000 |
| O3 | O | 32i | 32 | 0.1250 | 0.0000 | 0.2500 |
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 116 atoms drawn above are these sites multiplied by all 32 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
A16B13_tI116_141_2hi_a2fh-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tI116, then the space-group number 141, then the Wyckoff letters occupied by each element in turn (V: 4a; V: 16f; V: 16f; O: 16h; O: 16h; V: 16h; O: 32i). 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 A16B13_tI116_141_2hi_a2fh-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.
· Space group I41/amd (21 prototypes) · All prototypes · β-In₂S₃ →