Crystal Lab › Prototype structures › Trigonal
Y₃Cu₉(OH)₁₉Cl₈
Trigonal · space group R-3 (No. 148) · Pearson hR63
Symmetry elements and Wyckoff positions (interactive)
Y₃Cu₉(OH)₁₉Cl₈ in R-3
SettingUnit cell
- Lattice constants
- a = 11.535 Å, b = 11.535 Å, c = 17.215 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 1983.7 ų
- Atoms in the conventional cell
- 189 (O 57, Y 9, Cl 24, Cu 27, H 72)
- Formula units Z
- 3
- Pearson symbol
- hR63 — hexagonal / trigonal, rhombohedral lattice, 63 atoms per conventional cell
- Symmetry operations
- 18 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| O9 | O | 3a | 3 | 0.0000 | 0.0000 | 0.0000 |
| Y13 | Y | 3b | 3 | 0.0000 | 0.0000 | 0.5000 |
| Cl1 | Cl | 6c | 6 | 0.0000 | 0.0000 | 0.3385 |
| Y14 | Y | 6c | 6 | 0.0000 | 0.0000 | 0.8718 |
| Cu3 | Cu | 9d | 9 | 0.5000 | 0.0000 | 0.5000 |
| Cl2 | Cl | 18f | 18 | 0.9976 | 0.3353 | 0.6172 |
| Cu4 | Cu | 18f | 18 | 0.1747 | 0.3369 | 0.5035 |
| H5 | H | 18f | 18 | 0.2618 | 0.5960 | 0.6651 |
| H6 | H | 18f | 18 | 0.1990 | 0.1870 | 0.5927 |
| H7 | H | 18f | 18 | 0.3460 | 0.4450 | 0.6018 |
| H8 | H | 18f | 18 | 0.8487 | 0.8413 | 0.7518 |
| O10 | O | 18f | 18 | 0.1974 | 0.1887 | 0.5439 |
| O11 | O | 18f | 18 | 0.3377 | 0.4692 | 0.5572 |
| O12 | O | 18f | 18 | 0.8264 | 0.8244 | 0.7987 |
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 189 atoms drawn above are these sites multiplied by all 18 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
A8B9C24D19E3_hR63_148_cf_df_4f_a3f_bc-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hR63, then the space-group number 148, then the Wyckoff letters occupied by each element in turn (O: 3a; Y: 3b; Cl: 6c; Y: 6c; Cu: 9d; Cl: 18f; Cu: 18f; H: 18f; H: 18f; H: 18f; H: 18f; O: 18f; O: 18f; O: 18f). 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 A8B9C24D19E3_hR63_148_cf_df_4f_a3f_bc-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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