Crystal Lab › Prototype structures › Hexagonal
AuCN
Hexagonal · space group P6mm (No. 183) · Pearson hP3
Symmetry elements and Wyckoff positions (interactive)
AuCN in P6mm
SettingUnit cell
- Lattice constants
- a = 3.392 Å, b = 3.392 Å, c = 5.073 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 50.5 ų
- Atoms in the conventional cell
- 3 (Au 1, C 1, N 1)
- Formula units Z
- 1
- Pearson symbol
- hP3 — hexagonal / trigonal, primitive lattice, 3 atoms per conventional cell
- Symmetry operations
- 12 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Au1 | Au | 1a | 1 | 0.0000 | 0.0000 | 0.3920 |
| C2 | C | 1a | 1 | 0.0000 | 0.0000 | 0.0000 |
| N3 | N | 1a | 1 | 0.0000 | 0.0000 | 0.6180 |
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 3 atoms drawn above are these sites multiplied by all 12 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
ABC_hP3_183_a_a_a-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP3, then the space-group number 183, then the Wyckoff letters occupied by each element in turn (Au: 1a; C: 1a; N: 1a). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry ABC_hP3_183_a_a_a-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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