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Simple Cubic C₆₀ Buckminsterfullerene

Cubic · space group Pa-3 (No. 205) · Pearson cP240 · mineral: buckminsterfullerene

Symmetry elements and Wyckoff positions (interactive)

Simple Cubic C₆₀ Buckminsterfullerene in Pa-3

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

Unit cell

Lattice constants
a = 14.041 Å, b = 14.041 Å, c = 14.041 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
2768.1 ų
Atoms in the conventional cell
240 (C 240)
Formula units Z
240
Pearson symbol
cP240 — cubic, primitive lattice, 240 atoms per conventional cell
Symmetry operations
24 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
C10C24d240.13230.82070.1186
C1C24d240.22940.96750.1010
C2C24d240.24670.94600.0061
C3C24d240.20810.06460.1289
C4C24d240.20660.85990.9640
C5C24d240.17100.90370.1590
C6C24d240.22360.11220.9629
C7C24d240.24390.01920.9364
C8C24d240.20530.13490.0616
C9C24d240.15030.79830.0202

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 240 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

A_cP240_205_10d-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cP240, then the space-group number 205, then the Wyckoff letters occupied by each element in turn (C: 24d; C: 24d; C: 24d; C: 24d; C: 24d; C: 24d; C: 24d; C: 24d; C: 24d; C: 24d). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: Buckminsterfullerene.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A_cP240_205_10d-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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