Crystal Lab › Prototype structures › Cubic
Hexacyanobenzene (C₂N)
Cubic · space group Pa-3 (No. 205) · Pearson cP72 · mineral: hexacyanobenzene
Symmetry elements and Wyckoff positions (interactive)
Hexacyanobenzene (C₂N) in Pa-3
SettingUnit cell
- Lattice constants
- a = 10.781 Å, b = 10.781 Å, c = 10.781 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 1253.1 ų
- Atoms in the conventional cell
- 72 (C 48, N 24)
- Formula units Z
- 24
- Pearson symbol
- cP72 — cubic, primitive lattice, 72 atoms per conventional cell
- Symmetry operations
- 24 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| C1 | C | 24d | 24 | 0.0937 | 0.9107 | 0.9954 |
| C2 | C | 24d | 24 | 0.1896 | 0.8187 | 0.9905 |
| N3 | N | 24d | 24 | 0.2681 | 0.7456 | 0.9863 |
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 72 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
A2B_cP72_205_2d_d-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cP72, then the space-group number 205, then the Wyckoff letters occupied by each element in turn (C: 24d; C: 24d; N: 24d). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: Hexacyanobenzene.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2B_cP72_205_2d_d-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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