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Crystal Lab › Prototype structures › Trigonal

Li₂ZrTeO₆

Trigonal · space group R3 (No. 146) · Pearson hR10

Symmetry elements and Wyckoff positions (interactive)

Li₂ZrTeO₆ in R3

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

Unit cell

Lattice constants
a = 5.172 Å, b = 5.172 Å, c = 13.847 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
320.8 ų
Atoms in the conventional cell
30 (Li 6, Te 3, Zr 3, O 18)
Formula units Z
3
Pearson symbol
hR10 — hexagonal / trigonal, rhombohedral lattice, 10 atoms per conventional cell
Symmetry operations
9 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Li1Li3a30.00000.00000.2900
Li2Li3a30.00000.00000.7600
Te5Te3a30.00000.00000.5000
Zr6Zr3a30.00000.00000.9930
O3O9b90.38230.36070.7437
O4O9b90.31870.02330.9093

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 9 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

A2B6CD_hR10_146_2a_2b_a_a-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 146, then the Wyckoff letters occupied by each element in turn (Li: 3a; Li: 3a; Te: 3a; Zr: 3a; O: 9b; O: 9b). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

Li₂HfTeO₆ <!--beginning with an

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2B6CD_hR10_146_2a_2b_a_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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