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V₁₃O₁₆

Tetragonal · space group I41/amd (No. 141) · Pearson tI116

Symmetry elements and Wyckoff positions (interactive)

V₁₃O₁₆ in I41/amd

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

Unit 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

SiteElementWyckoffMultiplicityxyz
V4V4a40.00000.75000.1250
V5V16f160.87500.00000.0000
V6V16f160.37500.00000.0000
O1O16h160.00000.87500.2500
O2O16h160.00000.87500.7500
V7V16h160.00000.87500.5000
O3O32i320.12500.00000.2500

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.

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