Crystal Lab › Prototype structures › Triclinic
Hexamethylbenzene II (C₁₂H₁₈)
Triclinic · space group P-1 (No. 2) · Pearson aP12 · mineral: hexamethylbenzene
Symmetry elements and Wyckoff positions (interactive)
Hexamethylbenzene II (C₁₂H₁₈) in P-1
SettingUnit cell
- Lattice constants
- a = 8.071 Å, b = 6.289 Å, c = 5.300 Å; α = 80.62°, β = 80.81°, γ = 103.93°
- Cell volume
- 252.0 ų
- Atoms in the conventional cell
- 12 (C 12)
- Formula units Z
- 12
- Pearson symbol
- aP12 — triclinic, primitive lattice, 12 atoms per conventional cell
- Symmetry operations
- 2 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| C1 | C | 2i | 2 | 0.1771 | 0.1112 | 0.9267 |
| C2 | C | 2i | 2 | 0.0687 | 0.1804 | 0.1082 |
| C3 | C | 2i | 2 | 0.8916 | 0.0692 | 0.1814 |
| C4 | C | 2i | 2 | 0.3720 | 0.2335 | 0.8461 |
| C5 | C | 2i | 2 | 0.1443 | 0.3791 | 0.2273 |
| C6 | C | 2i | 2 | 0.7724 | 0.1455 | 0.3812 |
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 12 atoms drawn above are these sites multiplied by all 2 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_aP12_2_6i-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol aP12, then the space-group number 2, then the Wyckoff letters occupied by each element in turn (C: 2i; C: 2i; C: 2i; C: 2i; C: 2i; C: 2i). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: Hexamethylbenzene II.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A_aP12_2_6i-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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