Crystal Lab › Prototype structures › Trigonal
YCu₃(OH)₆Cl₃
Trigonal · space group P-3m1 (No. 164) · Pearson hP21
Symmetry elements and Wyckoff positions (interactive)
YCu₃(OH)₆Cl₃ in P-3m1
SettingUnit cell
- Lattice constants
- a = 6.747 Å, b = 6.747 Å, c = 5.590 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 220.4 ų
- Atoms in the conventional cell
- 21 (Y 3, Cl 3, Cu 3, H 6, O 6)
- Formula units Z
- 3
- Pearson symbol
- hP21 — hexagonal / trigonal, primitive lattice, 21 atoms per conventional cell
- Symmetry operations
- 12 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Y6 | Y | 1a | 1 | 0.0000 | 0.0000 | 0.0000 |
| Cl1 | Cl | 1b | 1 | 0.0000 | 0.0000 | 0.5000 |
| Y7 | Y | 2c | 2 | 0.0000 | 0.0000 | 0.8780 |
| Cl2 | Cl | 2d | 2 | 0.3333 | 0.6667 | 0.3668 |
| Cu3 | Cu | 3e | 3 | 0.5000 | 0.0000 | 0.0000 |
| H4 | H | 6i | 6 | 0.2058 | 0.7942 | 0.6920 |
| O5 | O | 6i | 6 | 0.1899 | 0.8101 | 0.8624 |
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 21 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
ABC2D2E_hP21_164_bd_e_i_i_ac-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP21, then the space-group number 164, then the Wyckoff letters occupied by each element in turn (Y: 1a; Cl: 1b; Y: 2c; Cl: 2d; Cu: 3e; H: 6i; O: 6i). 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 ABC2D2E_hP21_164_bd_e_i_i_ac-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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