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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

Setting
Loading the group…
x = 0.10, y = 0.17, z = 0.08

Unit 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

SiteElementWyckoffMultiplicityxyz
P1P3a30.00000.00000.0000
P2P6c60.00000.00000.4289
Sn3Sn6c60.00000.00000.1341
Sn4Sn6c60.00000.00000.2895

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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