Crystal Lab › Prototype structures › Tetragonal
β-NbO₂
Tetragonal · space group I41 (No. 80) · Pearson tI48
Symmetry elements and Wyckoff positions (interactive)
β-NbO₂ in I41
SettingUnit cell
- Lattice constants
- a = 9.693 Å, b = 9.693 Å, c = 5.985 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 562.3 ų
- Atoms in the conventional cell
- 48 (Nb 16, O 32)
- Formula units Z
- 16
- Pearson symbol
- tI48 — tetragonal, body-centred lattice, 48 atoms per conventional cell
- Symmetry operations
- 8 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Nb1 | Nb | 8b | 8 | 0.7621 | 0.0076 | 0.5299 |
| Nb2 | Nb | 8b | 8 | 0.7455 | 0.9909 | 0.9804 |
| O3 | O | 8b | 8 | 0.3974 | 0.1497 | 0.0077 |
| O4 | O | 8b | 8 | 0.6102 | 0.8642 | 0.4902 |
| O5 | O | 8b | 8 | 0.6086 | 0.3609 | 0.5064 |
| O6 | O | 8b | 8 | 0.6500 | 0.1038 | 0.2484 |
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 48 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
AB2_tI48_80_2b_4b-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tI48, then the space-group number 80, then the Wyckoff letters occupied by each element in turn (Nb: 8b; Nb: 8b; O: 8b; O: 8b; O: 8b; O: 8b). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: \beta-NbO₂.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB2_tI48_80_2b_4b-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.