Crystal Lab › Prototype structures › Monoclinic
δ-LiSmO₂ LiO₂Sm
Monoclinic · space group P121/c1 (No. 14) · Pearson mP16
Symmetry elements and Wyckoff positions (interactive)
δ-LiSmO₂ in P121/c1
SettingUnit cell
- Lattice constants
- a = 5.707 Å, b = 6.024 Å, c = 5.647 Å; α = 90.00°, β = 103.05°, γ = 90.00°
- Cell volume
- 189.1 ų
- Atoms in the conventional cell
- 16 (Li 4, O 8, Sm 4)
- Formula units Z
- 4
- Pearson symbol
- mP16 — monoclinic, primitive lattice, 16 atoms per conventional cell
- Symmetry operations
- 4 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Li1 | Li | 4e | 4 | 0.6700 | 0.1000 | 0.1500 |
| O2 | O | 4e | 4 | 0.8900 | 0.2700 | 0.4800 |
| O3 | O | 4e | 4 | 0.4600 | 0.1500 | 0.7200 |
| Sm4 | Sm | 4e | 4 | 0.1990 | 0.0670 | 0.3030 |
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 4 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
AB2C_mP16_14_e_2e_e-002: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol mP16, then the space-group number 14, then the Wyckoff letters occupied by each element in turn (Li: 4e; O: 4e; O: 4e; Sm: 4e). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
LiCeO₂, LiEuO₂, LiLaO₂, LiNdO₂, LiPrO₂ <!--beginning with an
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB2C_mP16_14_e_2e_e-002 (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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