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Crystal Lab › Prototype structures › Trigonal

Fe₄GeTe₂

Trigonal · space group R-3m (No. 166) · Pearson hR10

Symmetry elements and Wyckoff positions (interactive)

Fe₄GeTe₂ in R-3m

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

Unit cell

Lattice constants
a = 4.044 Å, b = 4.044 Å, c = 29.140 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
412.7 ų
Atoms in the conventional cell
30 (Fe 18, Ge 6, Te 6)
Formula units Z
6
Pearson symbol
hR10 — hexagonal / trigonal, rhombohedral lattice, 10 atoms per conventional cell
Symmetry operations
36 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Fe1Fe6c60.00000.00000.0779
Fe2Fe6c60.00000.00000.3144
Fe3Fe6c60.00000.00000.3997
Ge4Ge6c60.00000.00000.0118
Te5Te6c60.00000.00000.2199

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 30 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

A3BC_hR10_166_3c_c_c-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hR10, then the space-group number 166, then the Wyckoff letters occupied by each element in turn (Fe: 6c; Fe: 6c; Fe: 6c; Ge: 6c; Te: 6c). 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 A3BC_hR10_166_3c_c_c-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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