Crystal Lab › Prototype structures › Trigonal
Ti₃O (Room-Temperature)
Trigonal · space group P312 (No. 149) · Pearson hP24
Symmetry elements and Wyckoff positions (interactive)
Ti₃O (Room-Temperature) in P312
SettingUnit cell
- Lattice constants
- a = 5.142 Å, b = 5.142 Å, c = 14.308 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 327.6 ų
- Atoms in the conventional cell
- 24 (O 6, Ti 18)
- Formula units Z
- 6
- Pearson symbol
- hP24 — hexagonal / trigonal, primitive lattice, 24 atoms per conventional cell
- Symmetry operations
- 6 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| O1 | O | 1a | 1 | 0.0000 | 0.0000 | 0.0000 |
| O2 | O | 1c | 1 | 0.3333 | 0.6667 | 0.0000 |
| O3 | O | 2g | 2 | 0.0000 | 0.0000 | 0.3333 |
| O4 | O | 2i | 2 | 0.6667 | 0.3333 | 0.3333 |
| Ti5 | Ti | 6l | 6 | 0.0000 | 0.3333 | 0.4210 |
| Ti6 | Ti | 6l | 6 | 0.3333 | 0.3333 | 0.2460 |
| Ti7 | Ti | 6l | 6 | 0.0000 | 0.3333 | 0.0880 |
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 24 atoms drawn above are these sites multiplied by all 6 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
AB3_hP24_149_acgi_3l-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP24, then the space-group number 149, then the Wyckoff letters occupied by each element in turn (O: 1a; O: 1c; O: 2g; O: 2i; Ti: 6l; Ti: 6l; Ti: 6l). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: RT.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB3_hP24_149_acgi_3l-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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