Crystal Lab › Prototype structures › Hexagonal
PbTa₂S₆
Hexagonal · space group P6322 (No. 182) · Pearson hP20
Symmetry elements and Wyckoff positions (interactive)
PbTa₂S₆ in P6322
SettingUnit cell
- Lattice constants
- a = 5.759 Å, b = 5.759 Å, c = 14.813 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 425.5 ų
- Atoms in the conventional cell
- 20 (Ta 6, Pb 2, S 12)
- Formula units Z
- 2
- Pearson symbol
- hP20 — hexagonal / trigonal, primitive lattice, 20 atoms per conventional cell
- Symmetry operations
- 12 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Ta1 | Ta | 2a | 2 | 0.0000 | 0.0000 | 0.0000 |
| Pb2 | Pb | 2b | 2 | 0.0000 | 0.0000 | 0.2500 |
| Ta3 | Ta | 4f | 4 | 0.3333 | 0.6667 | -0.0020 |
| S4 | S | 12i | 12 | 0.3370 | 0.3370 | 0.1052 |
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 20 atoms drawn above are these sites multiplied by all 12 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
AB6C3_hP20_182_b_i_af-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP20, then the space-group number 182, then the Wyckoff letters occupied by each element in turn (Ta: 2a; Pb: 2b; Ta: 4f; S: 12i). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
PbNb₃S₆, SnTa₃S₆ <!--beginning with an
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB6C3_hP20_182_b_i_af-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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