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Crystal Lab › Prototype structures › Trigonal

β-Na₂GeTeO₆ GeNa₂O₆Te

Trigonal · space group P-31c (No. 163) · Pearson hP20

Symmetry elements and Wyckoff positions (interactive)

β-Na₂GeTeO₆ in P-31c

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

Unit cell

Lattice constants
a = 5.096 Å, b = 5.096 Å, c = 10.633 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
239.1 ų
Atoms in the conventional cell
20 (Te 2, Ge 2, Na 4, O 12)
Formula units Z
2
Pearson symbol
hP20 — hexagonal / trigonal, primitive lattice, 20 atoms per conventional cell
Symmetry operations
12 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Te4Te2a20.00001.00000.2500
Ge1Ge2c20.33330.66670.2500
Na2Na4f40.33330.66670.5466
O3O12i120.05890.70690.1455

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 20 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

AB2C6D_hP20_163_c_f_i_a-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP20, then the space-group number 163, then the Wyckoff letters occupied by each element in turn (Te: 2a; Ge: 2c; Na: 4f; O: 12i). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

Li₂MnTeO₆, Na₂SnTeO₆ <!--beginning with an

Note: \beta-Na₂GeTeO₆.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB2C6D_hP20_163_c_f_i_a-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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