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Mn₃Si₂Te₆

Trigonal · space group P-31c (No. 163) · Pearson hP22

Symmetry elements and Wyckoff positions (interactive)

Mn₃Si₂Te₆ in P-31c

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

Unit cell

Lattice constants
a = 7.029 Å, b = 7.029 Å, c = 14.255 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
609.9 ų
Atoms in the conventional cell
22 (Mn 6, Si 4, Te 12)
Formula units Z
2
Pearson symbol
hP22 — hexagonal / trigonal, primitive lattice, 22 atoms per conventional cell
Symmetry operations
12 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Mn1Mn2c20.33330.66670.2500
Si3Si4e40.00000.00000.0815
Mn2Mn4f40.33330.66670.0007
Te4Te12i120.65870.00360.1279

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 22 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

A3B2C6_hP22_163_cf_e_i-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP22, then the space-group number 163, then the Wyckoff letters occupied by each element in turn (Mn: 2c; Si: 4e; Mn: 4f; 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 A3B2C6_hP22_163_cf_e_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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