Crystal Lab › Prototype structures › Trigonal
KAg(CN)₂ (F5₁₀)
Trigonal · space group P-31c (No. 163) · Pearson hP36 · Strukturbericht F510
Symmetry elements and Wyckoff positions (interactive)
KAg(CN)₂ (F5₁₀) in P-31c
SettingUnit cell
- Lattice constants
- a = 7.384 Å, b = 7.384 Å, c = 17.553 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 828.8 ų
- Atoms in the conventional cell
- 36 (K 6, Ag 6, C 12, N 12)
- Formula units Z
- 6
- Pearson symbol
- hP36 — hexagonal / trigonal, primitive lattice, 36 atoms per conventional cell
- Symmetry operations
- 12 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| K3 | K | 2b | 2 | 0.0000 | 0.0000 | 0.0000 |
| K4 | K | 4f | 4 | 0.3333 | 0.6667 | 0.0100 |
| Ag1 | Ag | 6h | 6 | 0.8330 | 0.1670 | 0.2500 |
| C2 | C | 12i | 12 | 0.3333 | 0.0383 | 0.1410 |
| N5 | N | 12i | 12 | 0.0317 | 0.3650 | 0.0830 |
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 36 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
AB2CD2_hP36_163_h_i_bf_i-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP36, then the space-group number 163, then the Wyckoff letters occupied by each element in turn (K: 2b; K: 4f; Ag: 6h; C: 12i; N: 12i). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: F5₁₀.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB2CD2_hP36_163_h_i_bf_i-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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