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Crystal Lab › Prototype structures › Trigonal

Si₂Te₃

Trigonal · space group P-31c (No. 163) · Pearson hP40

Symmetry elements and Wyckoff positions (interactive)

Si₂Te₃ in P-31c

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

Unit cell

Lattice constants
a = 7.430 Å, b = 7.430 Å, c = 13.482 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
644.6 ų
Atoms in the conventional cell
40 (Si 28, Te 12)
Formula units Z
4
Pearson symbol
hP40 — hexagonal / trigonal, primitive lattice, 40 atoms per conventional cell
Symmetry operations
12 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Si1Si4e40.00000.00000.1659
Si2Si12i120.01140.15320.2794
Si3Si12i120.19160.68310.2230
Te4Te12i120.32630.00670.1180

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 40 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

A7B3_hP40_163_e2i_i-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP40, then the space-group number 163, then the Wyckoff letters occupied by each element in turn (Si: 4e; Si: 12i; Si: 12i; Te: 12i). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A7B3_hP40_163_e2i_i-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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