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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

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

Unit 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

SiteElementWyckoffMultiplicityxyz
Y6Y1a10.00000.00000.0000
Cl1Cl1b10.00000.00000.5000
Y7Y2c20.00000.00000.8780
Cl2Cl2d20.33330.66670.3668
Cu3Cu3e30.50000.00000.0000
H4H6i60.20580.79420.6920
O5O6i60.18990.81010.8624

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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