Crystal Lab › Prototype structures › Trigonal
Solid Cubane (C₈H₈)
Trigonal · space group R-3 (No. 148) · Pearson hR16 · mineral: cubane
Symmetry elements and Wyckoff positions (interactive)
Solid Cubane (C₈H₈) in R-3
SettingUnit cell
- Lattice constants
- a = 6.297 Å, b = 6.297 Å, c = 11.734 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 402.9 ų
- Atoms in the conventional cell
- 48 (C 24, H 24)
- Formula units Z
- 24
- Pearson symbol
- hR16 — hexagonal / trigonal, rhombohedral lattice, 16 atoms per conventional cell
- Symmetry operations
- 18 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| C1 | C | 6c | 6 | 0.0000 | 0.0000 | 0.1155 |
| H3 | H | 6c | 6 | 0.0000 | 0.0000 | 0.2100 |
| C2 | C | 18f | 18 | 0.7353 | 0.1765 | 0.3717 |
| H4 | H | 18f | 18 | 0.7825 | 0.0555 | 0.4023 |
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 48 atoms drawn above are these sites multiplied by all 18 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
AB_hR16_148_cf_cf-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hR16, then the space-group number 148, then the Wyckoff letters occupied by each element in turn (C: 6c; H: 6c; C: 18f; H: 18f). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: Cubane.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB_hR16_148_cf_cf-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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