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Crystal Lab › Prototype structures › Tetragonal

α-WO₃ O₃W

Tetragonal · space group P4/ncc (No. 130) · Pearson tP16

Symmetry elements and Wyckoff positions (interactive)

α-WO₃ in P4/ncc

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

Unit cell

Lattice constants
a = 5.276 Å, b = 5.276 Å, c = 7.846 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
218.4 ų
Atoms in the conventional cell
16 (O 12, W 4)
Formula units Z
4
Pearson symbol
tP16 — tetragonal, primitive lattice, 16 atoms per conventional cell
Symmetry operations
16 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
O1O4c40.25000.25000.0028
W3W4c40.25000.25000.2847
O2O8f80.02870.97130.2500

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 16 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

A3B_tP16_130_cf_c-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tP16, then the space-group number 130, then the Wyckoff letters occupied by each element in turn (O: 4c; W: 4c; O: 8f). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: α-WO₃.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A3B_tP16_130_cf_c-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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