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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
SettingUnit 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
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| C10 | C | 24d | 24 | 0.1323 | 0.8207 | 0.1186 |
| C1 | C | 24d | 24 | 0.2294 | 0.9675 | 0.1010 |
| C2 | C | 24d | 24 | 0.2467 | 0.9460 | 0.0061 |
| C3 | C | 24d | 24 | 0.2081 | 0.0646 | 0.1289 |
| C4 | C | 24d | 24 | 0.2066 | 0.8599 | 0.9640 |
| C5 | C | 24d | 24 | 0.1710 | 0.9037 | 0.1590 |
| C6 | C | 24d | 24 | 0.2236 | 0.1122 | 0.9629 |
| C7 | C | 24d | 24 | 0.2439 | 0.0192 | 0.9364 |
| C8 | C | 24d | 24 | 0.2053 | 0.1349 | 0.0616 |
| C9 | C | 24d | 24 | 0.1503 | 0.7983 | 0.0202 |
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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