Crystal Lab › Prototype structures › Trigonal
Sn₄P₃
Trigonal · space group R-3m (No. 166) · Pearson hR7
Symmetry elements and Wyckoff positions (interactive)
Sn₄P₃ in R-3m
SettingUnit cell
- Lattice constants
- a = 3.968 Å, b = 3.968 Å, c = 35.331 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 481.7 ų
- Atoms in the conventional cell
- 21 (P 9, Sn 12)
- Formula units Z
- 3
- Pearson symbol
- hR7 — hexagonal / trigonal, rhombohedral lattice, 7 atoms per conventional cell
- Symmetry operations
- 36 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| P1 | P | 3a | 3 | 0.0000 | 0.0000 | 0.0000 |
| P2 | P | 6c | 6 | 0.0000 | 0.0000 | 0.4289 |
| Sn3 | Sn | 6c | 6 | 0.0000 | 0.0000 | 0.1341 |
| Sn4 | Sn | 6c | 6 | 0.0000 | 0.0000 | 0.2895 |
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 21 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
A3B4_hR7_166_ac_2c-002: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hR7, then the space-group number 166, then the Wyckoff letters occupied by each element in turn (P: 3a; P: 6c; Sn: 6c; Sn: 6c). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
Se₄Bi₃ (poubaite), Bi₄Se₃ (laitakarite), Bi₄Te₄, Sn₄As₃ <!--beginning with an
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A3B4_hR7_166_ac_2c-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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