Crystal Lab › Prototype structures › Tetragonal
γ-LiAlO₂ AlLiO₂
Tetragonal · space group P41212 (No. 92) · Pearson tP16
Symmetry elements and Wyckoff positions (interactive)
γ-LiAlO₂ in P41212
SettingUnit cell
- Lattice constants
- a = 5.169 Å, b = 5.169 Å, c = 6.268 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 167.4 ų
- Atoms in the conventional cell
- 16 (Al 4, Li 4, O 8)
- Formula units Z
- 4
- Pearson symbol
- tP16 — tetragonal, primitive lattice, 16 atoms per conventional cell
- Symmetry operations
- 8 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Al1 | Al | 4a | 4 | 0.1759 | 0.1759 | 0.0000 |
| Li2 | Li | 4a | 4 | 0.8126 | 0.8126 | 0.0000 |
| O3 | O | 8b | 8 | 0.3369 | 0.2906 | 0.7723 |
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 16 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
ABC2_tP16_92_a_a_b-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tP16, then the space-group number 92, then the Wyckoff letters occupied by each element in turn (Al: 4a; Li: 4a; O: 8b). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
NaAlO₂, NaFeO₂ <!--beginning with an
Note: \gamma-LiAlO₂.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry ABC2_tP16_92_a_a_b-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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