Crystal Lab › Prototype structures › Tetragonal
Ti₂Ga₃
Tetragonal · space group P4/m (No. 83) · Pearson tP10
Symmetry elements and Wyckoff positions (interactive)
Ti₂Ga₃ in P4/m
SettingUnit cell
- Lattice constants
- a = 6.284 Å, b = 6.284 Å, c = 4.010 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 158.3 ų
- Atoms in the conventional cell
- 10 (Ga 6, Ti 4)
- Formula units Z
- 2
- Pearson symbol
- tP10 — tetragonal, primitive lattice, 10 atoms per conventional cell
- Symmetry operations
- 8 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Ga1 | Ga | 1a | 1 | 0.0000 | 0.0000 | 0.0000 |
| Ga2 | Ga | 1d | 1 | 0.5000 | 0.5000 | 0.5000 |
| Ga3 | Ga | 4j | 4 | 0.1860 | 0.3910 | 0.0000 |
| Ti4 | Ti | 4k | 4 | 0.3090 | 0.1250 | 0.5000 |
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 10 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
A3B2_tP10_83_adj_k-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tP10, then the space-group number 83, then the Wyckoff letters occupied by each element in turn (Ga: 1a; Ga: 1d; Ga: 4j; Ti: 4k). 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 A3B2_tP10_83_adj_k-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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