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Ce₆Cd₃₇

Cubic · space group Pn-3 (No. 201) · Pearson cP188

Symmetry elements and Wyckoff positions (interactive)

Ce₆Cd₃₇ in Pn-3

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

Unit cell

Lattice constants
a = 15.808 Å, b = 15.808 Å, c = 15.808 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
3950.3 ų
Atoms in the conventional cell
188 (Cd 164, Ce 24)
Formula units Z
4
Pearson symbol
cP188 — cubic, primitive lattice, 188 atoms per conventional cell
Symmetry operations
24 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Cd1Cd4b40.00000.00000.0000
Cd2Cd8e80.58110.58110.5811
Cd3Cd8e80.88850.88850.8885
Cd4Cd12f120.84360.25000.2500
Cd5Cd12g120.05460.75000.2500
Cd10Cd24h240.66480.68770.7058
Cd6Cd24h240.99320.74450.8411
Cd7Cd24h240.15580.74720.1007
Cd8Cd24h240.85630.94520.0964
Cd9Cd24h240.63160.55000.4067
Ce11Ce24h240.94130.75520.0474

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 188 atoms drawn above are these sites multiplied by all 24 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

A41B6_cP188_201_b2efg5h_h-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cP188, then the space-group number 201, then the Wyckoff letters occupied by each element in turn (Cd: 4b; Cd: 8e; Cd: 8e; Cd: 12f; Cd: 12g; Cd: 24h; Cd: 24h; Cd: 24h; Cd: 24h; Cd: 24h; Ce: 24h). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A41B6_cP188_201_b2efg5h_h-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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