Crystal Lab › Prototype structures › Trigonal
γ-Na₂Ti₃Cl₈ Cl₈Na₂Ti₃
Trigonal · space group R3m (No. 160) · Pearson hR13
Symmetry elements and Wyckoff positions (interactive)
γ-Na₂Ti₃Cl₈ in R3m
SettingUnit cell
- Lattice constants
- a = 6.974 Å, b = 6.974 Å, c = 20.185 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 850.2 ų
- Atoms in the conventional cell
- 39 (Cl 24, Na 6, Ti 9)
- Formula units Z
- 3
- Pearson symbol
- hR13 — hexagonal / trigonal, rhombohedral lattice, 13 atoms per conventional cell
- Symmetry operations
- 18 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Cl1 | Cl | 3a | 3 | 0.0000 | 0.0000 | 0.5824 |
| Cl2 | Cl | 3a | 3 | 0.0000 | 0.0000 | 0.3959 |
| Na5 | Na | 3a | 3 | 0.0000 | 0.0000 | 0.8400 |
| Na6 | Na | 3a | 3 | 0.0000 | 0.0000 | 0.1703 |
| Cl3 | Cl | 9b | 9 | 0.8304 | 0.1696 | 0.0731 |
| Cl4 | Cl | 9b | 9 | 0.8364 | 0.1636 | 0.2609 |
| Ti7 | Ti | 9b | 9 | 0.5199 | 0.4801 | 0.0000 |
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 39 atoms drawn above are these sites multiplied by all 18 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
A8B2C3_hR13_160_2a2b_2a_b-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hR13, then the space-group number 160, then the Wyckoff letters occupied by each element in turn (Cl: 3a; Cl: 3a; Na: 3a; Na: 3a; Cl: 9b; Cl: 9b; Ti: 9b). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: \gamma-Na₂Ti₃Cl₈.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A8B2C3_hR13_160_2a2b_2a_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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