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Averievite [(ClCu)₂Cu₅O₂(PO₄)₂]

Trigonal · space group P-3m1 (No. 164) · Pearson hP45 · mineral: averievite

Symmetry elements and Wyckoff positions (interactive)

Averievite [(ClCu)₂Cu₅O₂(PO₄)₂] in P-3m1

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

Unit cell

Lattice constants
a = 6.406 Å, b = 6.406 Å, c = 8.403 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
298.6 ų
Atoms in the conventional cell
45 (Cu 15, O 10, V 2, Cl 18)
Formula units Z
1
Pearson symbol
hP45 — hexagonal / trigonal, primitive lattice, 45 atoms per conventional cell
Symmetry operations
12 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Cu1Cu1a10.00000.00000.0000
Cu2Cu1b10.00000.00000.5000
Cu3Cu2c20.00000.00000.7407
Cu4Cu2d20.33330.66670.2750
O5O2d20.33330.66670.0456
O6O2d20.33330.66670.4957
V7V2d20.33330.66670.6926
Cu8Cu3e30.50000.00000.0000
Cl9Cl6i60.06800.93200.2610
Cu10Cu6i60.31000.69000.2730
O11O6i60.48020.51980.7660
Cl12Cl12j120.20800.17100.6640

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 45 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

A18B15C10D2_hP45_164_ij_abcdei_2di_d-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP45, then the space-group number 164, then the Wyckoff letters occupied by each element in turn (Cu: 1a; Cu: 1b; Cu: 2c; Cu: 2d; O: 2d; O: 2d; V: 2d; Cu: 3e; Cl: 6i; Cu: 6i; O: 6i; Cl: 12j). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: Averievite.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A18B15C10D2_hP45_164_ij_abcdei_2di_d-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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