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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

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

Unit 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

SiteElementWyckoffMultiplicityxyz
O9O3a30.00000.00000.0000
Y13Y3b30.00000.00000.5000
Cl1Cl6c60.00000.00000.3385
Y14Y6c60.00000.00000.8718
Cu3Cu9d90.50000.00000.5000
Cl2Cl18f180.99760.33530.6172
Cu4Cu18f180.17470.33690.5035
H5H18f180.26180.59600.6651
H6H18f180.19900.18700.5927
H7H18f180.34600.44500.6018
H8H18f180.84870.84130.7518
O10O18f180.19740.18870.5439
O11O18f180.33770.46920.5572
O12O18f180.82640.82440.7987

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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