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Crystal Lab › Prototype structures › Tetragonal

Li₂WO₄ (II)

Tetragonal · space group I41/amd (No. 141) · Pearson tI112

Symmetry elements and Wyckoff positions (interactive)

Li₂WO₄ (II) in I41/amd

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

Unit cell

Lattice constants
a = 11.954 Å, b = 11.954 Å, c = 8.410 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
1201.8 ų
Atoms in the conventional cell
112 (Li 32, O 64, W 16)
Formula units Z
16
Pearson symbol
tI112 — tetragonal, body-centred lattice, 112 atoms per conventional cell
Symmetry operations
32 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Li1Li16f160.37400.00000.0000
Li2Li16g160.87000.12000.8750
O3O16h160.00000.12730.0175
O4O16h160.00000.14490.4852
W6W16h160.00000.11390.2220
O5O32i320.11500.02230.2542

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 112 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

A2B4C_tI112_141_fg_2hi_h-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tI112, then the space-group number 141, then the Wyckoff letters occupied by each element in turn (Li: 16f; Li: 16g; O: 16h; O: 16h; W: 16h; O: 32i). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: II.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2B4C_tI112_141_fg_2hi_h-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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