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Crystal Lab › Prototype structures › Trigonal

Mg₃TeO₆

Trigonal · space group R-3 (No. 148) · Pearson hR20

Symmetry elements and Wyckoff positions (interactive)

Mg₃TeO₆ in R-3

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

Unit cell

Lattice constants
a = 8.615 Å, b = 8.615 Å, c = 10.315 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
663.0 ų
Atoms in the conventional cell
60 (Te 6, Mg 18, O 36)
Formula units Z
6
Pearson symbol
hR20 — hexagonal / trigonal, rhombohedral lattice, 20 atoms per conventional cell
Symmetry operations
18 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Te4Te3a30.00000.00000.0000
Te5Te3b30.00000.00000.5000
Mg1Mg18f180.73460.77490.7115
O2O18f180.86840.50530.4314
O3O18f180.18510.15980.6162

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 60 atoms drawn above are these sites multiplied by all 18 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

A3B6C_hR20_148_f_2f_ab-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hR20, then the space-group number 148, then the Wyckoff letters occupied by each element in turn (Te: 3a; Te: 3b; Mg: 18f; O: 18f; O: 18f). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

Bi₃DyO₆, Bi₃ErO₆, Bi₃LuO₆, Bi₃YO₆, Ca₃UO₆, La₃ScO₆, Li₃AlH₆, Li₃AlO₆, Li₃CuF₆, Li₃FeF₆, Li₃VF₆, Mg₃SbO₆, Mn₃TeO₆, Mn₃WO₆ <!--beginning with an

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A3B6C_hR20_148_f_2f_ab-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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