Crystal Lab › Prototype structures › Orthorhombic
Benzene
Orthorhombic · space group Pbca (No. 61) · Pearson oP48 · mineral: benzene
Symmetry elements and Wyckoff positions (interactive)
Benzene in Pbca
SettingUnit cell
- Lattice constants
- a = 6.914 Å, b = 7.476 Å, c = 9.563 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 494.3 ų
- Atoms in the conventional cell
- 48 (C 24, H 24)
- Formula units Z
- 24
- Pearson symbol
- oP48 — orthorhombic, primitive lattice, 48 atoms per conventional cell
- Symmetry operations
- 8 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| C1 | C | 8c | 8 | 0.1297 | 0.5762 | 0.4080 |
| C2 | C | 8c | 8 | 0.1235 | 0.6328 | 0.5452 |
| C3 | C | 8c | 8 | 0.0057 | 0.4432 | 0.3629 |
| H4 | H | 8c | 8 | 0.2172 | 0.6275 | 0.3460 |
| H5 | H | 8c | 8 | 0.2068 | 0.7225 | 0.5756 |
| H6 | H | 8c | 8 | 0.0095 | 0.4051 | 0.2704 |
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 8 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_oP48_61_3c_3c-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol oP48, then the space-group number 61, then the Wyckoff letters occupied by each element in turn (C: 8c; C: 8c; C: 8c; H: 8c; H: 8c; H: 8c). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: Benzene.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB_oP48_61_3c_3c-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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