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Crystal Lab › Prototype structures › Triclinic

δ-WO₃ O₃W

Triclinic · space group P-1 (No. 2) · Pearson aP32

Symmetry elements and Wyckoff positions (interactive)

δ-WO₃ in P-1

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

Unit cell

Lattice constants
a = 7.309 Å, b = 7.522 Å, c = 7.678 Å; α = 88.81°, β = 89.08°, γ = 89.07°
Cell volume
421.9 ų
Atoms in the conventional cell
32 (O 24, W 8)
Formula units Z
8
Pearson symbol
aP32 — triclinic, primitive lattice, 32 atoms per conventional cell
Symmetry operations
2 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
O10O2i20.29710.54460.4982
O1O2i20.00070.03860.2100
O11O2i20.20960.48200.9928
O12O2i20.20880.98300.5051
O2O2i20.50380.53610.2181
O3O2i20.00760.46600.2884
O4O2i20.49720.96380.2878
O5O2i20.28510.25740.2870
O6O2i20.22040.76300.2232
O7O2i20.21860.26270.7258
O8O2i20.28400.75830.7679
O9O2i20.29430.04220.9998
W13W2i20.25660.02590.2850
W14W2i20.25020.52800.2158
W15W2i20.24380.03130.7817
W16W2i20.24990.53380.7190

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 32 atoms drawn above are these sites multiplied by all 2 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_aP32_2_12i_4i-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol aP32, then the space-group number 2, then the Wyckoff letters occupied by each element in turn (O: 2i; O: 2i; O: 2i; O: 2i; O: 2i; O: 2i; O: 2i; O: 2i; O: 2i; O: 2i; O: 2i; O: 2i; W: 2i; W: 2i; W: 2i; W: 2i). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: \delta-WO₃.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A3B_aP32_2_12i_4i-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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