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Crystal Lab › Prototype structures › Trigonal

Ce₂O₂S

Trigonal · space group P-3m1 (No. 164) · Pearson hP5

Symmetry elements and Wyckoff positions (interactive)

Ce₂O₂S in P-3m1

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

Unit cell

Lattice constants
a = 4.000 Å, b = 4.000 Å, c = 6.820 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
94.5 ų
Atoms in the conventional cell
5 (S 1, Ce 2, O 2)
Formula units Z
1
Pearson symbol
hP5 — hexagonal / trigonal, primitive lattice, 5 atoms per conventional cell
Symmetry operations
12 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
S3S1a10.00000.00000.0000
Ce1Ce2d20.33330.66670.2900
O2O2d20.33330.66670.6400

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 5 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

A2B2C_hP5_164_d_d_a-002: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP5, then the space-group number 164, then the Wyckoff letters occupied by each element in turn (S: 1a; Ce: 2d; O: 2d). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

BaCd₂As₂, CaAl₂Si₂, CaAs₂Bi₂, CaAs₂Mn₂, CaAs₂P₂, CaAs₂Sb₂, CaBi₂Mg₂, CaBi₂Mn₂, CaCd₂As₂, CaCd₂P₂, CaMg₂Bi₂, CaMg₂Sb₂, CaMn₂P₂, CaZn₂As₂, CaZn₂P₂, CaZn₂Sb₂, CeCuZnP₂, DyCuZnP₂, ErCuZnP₂, EuAs₂Cd₂, EuBi₂Mg₂, EuCd₂P₂, EuCd₂Sb₂, EuP₂iZn₂, GdCuZnP₂, HoCuZnP₂, LaCuZnP₂, LuCuZnP₂, NdCuZnP₂, PrCuZnP₂, SCe₂O₂, SCe₂Se₂, SLa₂O₂, SO₂Pu₂, ScCuZnP₂, SmCuZnP₂, SrAs₂Mn₂, SrAs₂P₂, SrAs₂Sb₂, SrCd₂As₂, SrCd₂P₂, SrMn₂P₂, TbCuZnP₂, TmCuZnP₂, YCuZnP₂, YbCuZnP₂, YbMg₂Bi₂, YbMnCuP₂ <!--beginning with an

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2B2C_hP5_164_d_d_a-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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