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Crystal Lab › Prototype structures › Hexagonal

O4-LiCoO₂ CoLiO₂

Hexagonal · space group P63mc (No. 186) · Pearson hP16

Symmetry elements and Wyckoff positions (interactive)

O4-LiCoO₂ in P63mc

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

Unit cell

Lattice constants
a = 2.813 Å, b = 2.813 Å, c = 18.860 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
129.2 ų
Atoms in the conventional cell
16 (Co 4, Li 4, O 8)
Formula units Z
4
Pearson symbol
hP16 — hexagonal / trigonal, primitive lattice, 16 atoms per conventional cell
Symmetry operations
12 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Co1Co2a20.00000.00000.0000
Li2Li2a20.00000.00000.3740
O3O2a20.00000.00000.1940
Co4Co2b20.33330.66670.2480
Li5Li2b20.33330.66670.6240
O6O2b20.33330.66670.0540
O7O2b20.33330.66670.8020
O8O2b20.33330.66670.4460

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 16 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

ABC2_hP16_186_ab_ab_a3b-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP16, then the space-group number 186, then the Wyckoff letters occupied by each element in turn (Co: 2a; Li: 2a; O: 2a; Co: 2b; Li: 2b; O: 2b; O: 2b; O: 2b). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: O4-LiCoO₂.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry ABC2_hP16_186_ab_ab_a3b-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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