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Crystal Lab › Prototype structures › Trigonal

Trigonal Averievite [(CsCl)Cu₅O₂(VO₄)₂]

Trigonal · space group P-3 (No. 147) · Pearson hP86 · mineral: averievite

Symmetry elements and Wyckoff positions (interactive)

Trigonal Averievite [(CsCl)Cu₅O₂(VO₄)₂] in P-3

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

Unit cell

Lattice constants
a = 12.725 Å, b = 12.725 Å, c = 8.377 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
1174.7 ų
Atoms in the conventional cell
86 (Cl 4, Cs 14, Cu 20, O 40, V 8)
Formula units Z
2
Pearson symbol
hP86 — hexagonal / trigonal, primitive lattice, 86 atoms per conventional cell
Symmetry operations
6 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Cl1Cl1a10.00000.00000.0000
Cs2Cs2c20.00000.00000.5496
Cu3Cu2d20.33330.66670.7289
O4O2d20.33330.66670.5053
O5O2d20.33330.66670.9571
V6V2d20.33330.66670.3062
Cl7Cl3e30.50000.00000.0000
Cs8Cs6g60.00580.51360.5000
Cs9Cs6g60.00080.50310.5675
Cu10Cu6g60.83880.66670.7289
Cu11Cu6g60.75300.74700.0001
Cu12Cu6g60.75960.49990.9998
O13O6g60.76260.73780.2381
O14O6g60.74320.75630.7625
O15O6g60.76790.51880.2379
O16O6g60.83930.66690.5049
O17O6g60.74840.48090.7620
O18O6g60.83920.66670.9564
V19V6g60.83870.66660.3059

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 86 atoms drawn above are these sites multiplied by all 6 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

A2B7C10D20E4_hP86_147_ae_c2g_d3g_2d6g_dg-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP86, then the space-group number 147, then the Wyckoff letters occupied by each element in turn (Cl: 1a; Cs: 2c; Cu: 2d; O: 2d; O: 2d; V: 2d; Cl: 3e; Cs: 6g; Cs: 6g; Cu: 6g; Cu: 6g; Cu: 6g; O: 6g; O: 6g; O: 6g; O: 6g; O: 6g; O: 6g; V: 6g). 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 A2B7C10D20E4_hP86_147_ae_c2g_d3g_2d6g_dg-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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