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β-NbO₂

Tetragonal · space group I41 (No. 80) · Pearson tI48

Symmetry elements and Wyckoff positions (interactive)

β-NbO₂ in I41

Setting
Loading the group…
x = 0.10, y = 0.17, z = 0.08

Unit 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

SiteElementWyckoffMultiplicityxyz
Nb1Nb8b80.76210.00760.5299
Nb2Nb8b80.74550.99090.9804
O3O8b80.39740.14970.0077
O4O8b80.61020.86420.4902
O5O8b80.60860.36090.5064
O6O8b80.65000.10380.2484

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.

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