Crystal Lab › Prototype structures › Trigonal
Cs₃Tl₂Cl₉ (K7₂)
Trigonal · space group R-3c (No. 167) · Pearson hR28 · Strukturbericht K72
Symmetry elements and Wyckoff positions (interactive)
Cs₃Tl₂Cl₉ (K7₂) in R-3c
SettingUnit cell
- Lattice constants
- a = 12.796 Å, b = 12.796 Å, c = 18.297 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 2594.5 ų
- Atoms in the conventional cell
- 84 (Tl 12, Cl 54, Cs 18)
- Formula units Z
- 6
- Pearson symbol
- hR28 — hexagonal / trigonal, rhombohedral lattice, 28 atoms per conventional cell
- Symmetry operations
- 36 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Tl4 | Tl | 12c | 12 | 0.0000 | 0.0000 | 0.3480 |
| Cl1 | Cl | 18e | 18 | 0.8470 | 0.0000 | 0.2500 |
| Cs3 | Cs | 18e | 18 | 0.3333 | 0.0000 | 0.2500 |
| Cl2 | Cl | 36f | 36 | 0.8260 | 0.8330 | 0.4190 |
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 84 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
A9B3C2_hR28_167_ef_e_c-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hR28, then the space-group number 167, then the Wyckoff letters occupied by each element in turn (Tl: 12c; Cl: 18e; Cs: 18e; Cl: 36f). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
Cs₃Dy₂Br₉, Cs₃Er₂Br₉, Cs₃Ho₂Br₉, Cs₃Lu₂Cl₉, Cs₃Tb₂Br₉, Cs₃Yb₂Br₉, Ba₃Os₂O₉, Ba₃W₂O₉ <!--beginning with an
Note: K7₂.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A9B3C2_hR28_167_ef_e_c-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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