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Crystal Lab › Prototype structures › Trigonal

Li₇TaO₆

Trigonal · space group R-3 (No. 148) · Pearson hR15

Symmetry elements and Wyckoff positions (interactive)

Li₇TaO₆ in R-3

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

Unit cell

Lattice constants
a = 5.358 Å, b = 5.358 Å, c = 15.073 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
374.7 ų
Atoms in the conventional cell
45 (Ta 3, Li 24, O 18)
Formula units Z
3
Pearson symbol
hR15 — hexagonal / trigonal, rhombohedral lattice, 15 atoms per conventional cell
Symmetry operations
18 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Ta4Ta3a30.00000.00000.0000
Li1Li6c60.00000.00000.6615
Li2Li18f180.71090.68390.7892
O3O18f180.02770.65840.7437

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 45 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

A8B6C_hR15_148_cf_f_a-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hR15, then the space-group number 148, then the Wyckoff letters occupied by each element in turn (Ta: 3a; Li: 6c; Li: 18f; O: 18f). 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 A8B6C_hR15_148_cf_f_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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