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
SettingUnit 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
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Li1 | Li | 16f | 16 | 0.3740 | 0.0000 | 0.0000 |
| Li2 | Li | 16g | 16 | 0.8700 | 0.1200 | 0.8750 |
| O3 | O | 16h | 16 | 0.0000 | 0.1273 | 0.0175 |
| O4 | O | 16h | 16 | 0.0000 | 0.1449 | 0.4852 |
| W6 | W | 16h | 16 | 0.0000 | 0.1139 | 0.2220 |
| O5 | O | 32i | 32 | 0.1150 | 0.0223 | 0.2542 |
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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