Crystal Lab › Prototype structures › Trigonal
Tetradymite (Bi₂Te₂S, C33)
Trigonal · space group R-3m (No. 166) · Pearson hR5 · mineral: tetradymite
Symmetry elements and Wyckoff positions (interactive)
Tetradymite (Bi₂Te₂S, C33) in R-3m
SettingUnit cell
- Lattice constants
- a = 4.316 Å, b = 4.316 Å, c = 30.013 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 484.3 ų
- Atoms in the conventional cell
- 15 (S 3, Bi 6, Te 6)
- Formula units Z
- 3
- Pearson symbol
- hR5 — hexagonal / trigonal, rhombohedral lattice, 5 atoms per conventional cell
- Symmetry operations
- 36 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| S2 | S | 3a | 3 | 0.0000 | 0.0000 | 0.0000 |
| Bi1 | Bi | 6c | 6 | 0.0000 | 0.0000 | 0.3920 |
| Te3 | Te | 6c | 6 | 0.0000 | 0.0000 | 0.7880 |
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 15 atoms drawn above are these sites multiplied by all 36 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
A2BC2_hR5_166_c_a_c-002: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hR5, then the space-group number 166, then the Wyckoff letters occupied by each element in turn (S: 3a; Bi: 6c; Te: 6c). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
Ag₂O₂Ni, As₂Sn₂Eu, Bi₂Te₂Se, Gd₂I₂Ge, La₂I₂Ge, La₂I₂Te, Sb₂Se₂Te, Sn₂As₂Na <!--beginning with an
Note: Tetradymite.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2BC2_hR5_166_c_a_c-002 (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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