Crystal Lab › Prototype structures › Tetragonal
Li₆CoO₄
Tetragonal · space group P42/nmc (No. 137) · Pearson tP22
Symmetry elements and Wyckoff positions (interactive)
Li₆CoO₄ in P42/nmc
SettingUnit cell
- Lattice constants
- a = 6.536 Å, b = 6.536 Å, c = 4.650 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 198.6 ų
- Atoms in the conventional cell
- 22 (Co 2, Li 12, O 8)
- Formula units Z
- 2
- Pearson symbol
- tP22 — tetragonal, primitive lattice, 22 atoms per conventional cell
- Symmetry operations
- 16 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Co1 | Co | 2a | 2 | 0.7500 | 0.2500 | 0.7500 |
| Li2 | Li | 4d | 4 | 0.2500 | 0.2500 | 0.7015 |
| Li3 | Li | 8f | 8 | 0.9659 | 0.0341 | 0.2500 |
| O4 | O | 8g | 8 | 0.2500 | 0.4857 | 0.4649 |
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 22 atoms drawn above are these sites multiplied by all 16 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
AB6C4_tP22_137_a_df_g-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tP22, then the space-group number 137, then the Wyckoff letters occupied by each element in turn (Co: 2a; Li: 4d; Li: 8f; O: 8g). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
F₆OCd₄, F₆OMn₄, Li₆CoO₄, Li₆CoZn₄, Li₆FeO₄, Li₆IrN₄, Li₆MnO₄, Li₆NiO₄, Li₆RuN₄, Li₆WN₄, Na₆MgO₄ <!--beginning with an
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB6C4_tP22_137_a_df_g-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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