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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

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

Unit 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

SiteElementWyckoffMultiplicityxyz
Li1Li4e40.67000.10000.1500
O2O4e40.89000.27000.4800
O3O4e40.46000.15000.7200
Sm4Sm4e40.19900.06700.3030

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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