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Crystal Lab › Prototype structures › Hexagonal

Hexagonal WO₃ O₃W

Hexagonal · space group P6/mmm (No. 191) · Pearson hP12

Symmetry elements and Wyckoff positions (interactive)

Hexagonal WO₃ in P6/mmm

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

Unit cell

Lattice constants
a = 7.298 Å, b = 7.298 Å, c = 3.899 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
179.8 ų
Atoms in the conventional cell
12 (W 3, O 9)
Formula units Z
3
Pearson symbol
hP12 — hexagonal / trigonal, primitive lattice, 12 atoms per conventional cell
Symmetry operations
24 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
W3W3f30.50000.00000.0000
O1O3g30.50000.00000.5000
O2O6l60.21200.42400.0000

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 12 atoms drawn above are these sites multiplied by all 24 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_hP12_191_gl_f-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP12, then the space-group number 191, then the Wyckoff letters occupied by each element in turn (W: 3f; O: 3g; O: 6l). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: Hexagonal.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A3B_hP12_191_gl_f-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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