Crystal Lab › Prototype structures › Trigonal
Li₇TaO₆
Trigonal · space group R-3 (No. 148) · Pearson hR15
Symmetry elements and Wyckoff positions (interactive)
Li₇TaO₆ in R-3
SettingUnit cell
- Lattice constants
- a = 5.358 Å, b = 5.358 Å, c = 15.073 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 374.7 ų
- Atoms in the conventional cell
- 45 (Ta 3, Li 24, O 18)
- Formula units Z
- 3
- Pearson symbol
- hR15 — hexagonal / trigonal, rhombohedral lattice, 15 atoms per conventional cell
- Symmetry operations
- 18 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Ta4 | Ta | 3a | 3 | 0.0000 | 0.0000 | 0.0000 |
| Li1 | Li | 6c | 6 | 0.0000 | 0.0000 | 0.6615 |
| Li2 | Li | 18f | 18 | 0.7109 | 0.6839 | 0.7892 |
| O3 | O | 18f | 18 | 0.0277 | 0.6584 | 0.7437 |
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 45 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
A8B6C_hR15_148_cf_f_a-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hR15, then the space-group number 148, then the Wyckoff letters occupied by each element in turn (Ta: 3a; Li: 6c; Li: 18f; O: 18f). 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 A8B6C_hR15_148_cf_f_a-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.
← SrMn₇O₁₂ · Space group R-3 (27 prototypes) · All prototypes · Y₃Cu₉(OH)₁₉Cl₈ →