Crystal Lab › Prototype structures › Trigonal
K₃Cu₃P₂: A3B3C2_hR8_166_d_ac_c-001 Cu₃K₃P₂
Trigonal · space group R-3m (No. 166) · Pearson hR8
Symmetry elements and Wyckoff positions (interactive)
K₃Cu₃P₂: A3B3C2_hR8_166_d_ac_c-001 in R-3m
SettingUnit cell
- Lattice constants
- a = 5.720 Å, b = 5.720 Å, c = 19.930 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 564.7 ų
- Atoms in the conventional cell
- 24 (K 9, P 6, Cu 9)
- Formula units Z
- 3
- Pearson symbol
- hR8 — hexagonal / trigonal, rhombohedral lattice, 8 atoms per conventional cell
- Symmetry operations
- 36 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| K2 | K | 3a | 3 | 0.0000 | 0.0000 | 0.0000 |
| K3 | K | 6c | 6 | 0.0000 | 0.0000 | 0.5925 |
| P4 | P | 6c | 6 | 0.0000 | 0.0000 | 0.2434 |
| Cu1 | Cu | 9d | 9 | 0.5000 | 0.0000 | 0.5000 |
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 24 atoms drawn above are these sites multiplied by all 36 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
A3B3C2_hR8_166_d_ac_c-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hR8, then the space-group number 166, then the Wyckoff letters occupied by each element in turn (K: 3a; K: 6c; P: 6c; Cu: 9d). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
K₃Ag₃As₂, K₃Au₃Sb₂, K₃Cu₃As₂, Rb₃Au₃Sb₂, Rb₃Cu₃As₂ <!--beginning with an
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A3B3C2_hR8_166_d_ac_c-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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