Skip to content

Crystal Lab › Prototype structures › Hexagonal

Co[Au(CN)₂]₂

Hexagonal · space group P6422 (No. 181) · Pearson hP66

Symmetry elements and Wyckoff positions (interactive)

Co[Au(CN)₂]₂ in P6422

Setting
Loading the group…
x = 0.10, y = 0.17, z = 0.08

Unit cell

Lattice constants
a = 8.434 Å, b = 8.434 Å, c = 20.695 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
1274.9 ų
Atoms in the conventional cell
66 (Co 6, Au 12, C 24, N 24)
Formula units Z
6
Pearson symbol
hP66 — hexagonal / trigonal, primitive lattice, 66 atoms per conventional cell
Symmetry operations
12 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Co4Co6f60.50000.00000.3741
Au1Au12k120.31630.00060.1259
C2C12k120.21800.82040.0532
C3C12k120.39370.19020.1951
N5N12k120.14000.70810.0172
N6N12k120.44840.28950.2361

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 66 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

A2B4CD4_hP66_181_k_2k_f_2k-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP66, then the space-group number 181, then the Wyckoff letters occupied by each element in turn (Co: 6f; Au: 12k; C: 12k; C: 12k; N: 12k; N: 12k). 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 A2B4CD4_hP66_181_k_2k_f_2k-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.

 ·  Space group P6422 (4 prototypes)  ·  All prototypes  ·  β (high) quartz (SiO₂, C8) →