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Crystal Lab › Prototype structures › Tetragonal

α-NbO₂

Tetragonal · space group I41/a (No. 88) · Pearson tI96

Symmetry elements and Wyckoff positions (interactive)

α-NbO₂ in I41/a

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

Unit cell

Lattice constants
a = 13.660 Å, b = 13.660 Å, c = 5.964 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
1112.9 ų
Atoms in the conventional cell
96 (Nb 32, O 64)
Formula units Z
32
Pearson symbol
tI96 — tetragonal, body-centred lattice, 96 atoms per conventional cell
Symmetry operations
16 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Nb1Nb16f160.11550.12490.4746
Nb2Nb16f160.63560.62500.5267
O3O16f160.98660.12620.9954
O4O16f160.97490.12520.5000
O5O16f160.77390.62450.4998
O6O16f160.76310.62410.0043

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 96 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

AB2_tI96_88_2f_4f-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tI96, then the space-group number 88, then the Wyckoff letters occupied by each element in turn (Nb: 16f; Nb: 16f; O: 16f; O: 16f; O: 16f; O: 16f). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: α-NbO₂.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB2_tI96_88_2f_4f-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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