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A15 Fullerene (Ba₃C₆₀)

Cubic · space group Pm-3n (No. 223) · Pearson cP126

Symmetry elements and Wyckoff positions (interactive)

A15 Fullerene (Ba₃C₆₀) in Pm-3n

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

Unit cell

Lattice constants
a = 11.343 Å, b = 11.343 Å, c = 11.343 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
1459.4 ų
Atoms in the conventional cell
126 (Ba 6, C 120)
Formula units Z
6
Pearson symbol
cP126 — cubic, primitive lattice, 126 atoms per conventional cell
Symmetry operations
48 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Ba1Ba6c60.25000.00000.5000
C2C24k240.00000.31380.0646
C3C48l480.12920.10460.2738
C4C48l480.06460.20910.2338

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 126 atoms drawn above are these sites multiplied by all 48 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

AB20_cP126_223_c_k2l-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cP126, then the space-group number 223, then the Wyckoff letters occupied by each element in turn (Ba: 6c; C: 24k; C: 48l; C: 48l). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

Sr₃C₆₀ <!--beginning with an

Note: Fullerene.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB20_cP126_223_c_k2l-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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