Crystal Lab › Prototype structures › Cubic
A15 Fullerene (Ba₃C₆₀)
Cubic · space group Pm-3n (No. 223) · Pearson cP126
Symmetry elements and Wyckoff positions (interactive)
A15 Fullerene (Ba₃C₆₀) in Pm-3n
SettingUnit 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
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Ba1 | Ba | 6c | 6 | 0.2500 | 0.0000 | 0.5000 |
| C2 | C | 24k | 24 | 0.0000 | 0.3138 | 0.0646 |
| C3 | C | 48l | 48 | 0.1292 | 0.1046 | 0.2738 |
| C4 | C | 48l | 48 | 0.0646 | 0.2091 | 0.2338 |
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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