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Crystal Lab › Prototype structures › Tetragonal

SeO₃

Tetragonal · space group P-421c (No. 114) · Pearson tP32

Symmetry elements and Wyckoff positions (interactive)

SeO₃ in P-421c

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

Unit cell

Lattice constants
a = 9.630 Å, b = 9.630 Å, c = 5.280 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
489.7 ų
Atoms in the conventional cell
32 (O 24, Se 8)
Formula units Z
8
Pearson symbol
tP32 — tetragonal, primitive lattice, 32 atoms per conventional cell
Symmetry operations
8 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
O1O8e80.60000.74300.8090
O2O8e80.83600.55500.6040
O3O8e80.88100.89900.8440
Se4Se8e80.51250.72730.5630

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 8 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_tP32_114_3e_e-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tP32, then the space-group number 114, then the Wyckoff letters occupied by each element in turn (O: 8e; O: 8e; O: 8e; Se: 8e). 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 A3B_tP32_114_3e_e-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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