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Crystal Lab › Prototype structures › Trigonal

Averievite [Cu₅O₂(VO₄)₂cdotCuCl₂]

Trigonal · space group P3 (No. 143) · Pearson hP21 · mineral: averievite

Symmetry elements and Wyckoff positions (interactive)

Averievite [Cu₅O₂(VO₄)₂cdotCuCl₂] in P3

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

Unit cell

Lattice constants
a = 6.375 Å, b = 6.375 Å, c = 8.399 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
295.6 ų
Atoms in the conventional cell
21 (Cl 2, Cu 7, O 10, V 2)
Formula units Z
1
Pearson symbol
hP21 — hexagonal / trigonal, primitive lattice, 21 atoms per conventional cell
Symmetry operations
3 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Cl1Cl1a10.00000.00000.2714
Cl2Cl1a10.00000.00000.7679
Cu3Cu1a10.00000.00000.0177
Cu4Cu1a10.00000.00000.5314
Cu9Cu1b10.33330.66670.5492
O10O1b10.33330.66670.3390
O11O1b10.33330.66670.7750
V12V1b10.33330.66670.9680
Cu5Cu1c10.66670.33330.0000
O6O1c10.66670.33330.7850
O7O1c10.66670.33330.2440
V8V1c10.66670.33330.5840
Cu13Cu3d30.00470.49430.2800
O14O3d30.04570.51930.0310
O15O3d30.97070.47630.5090

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 3 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

A2B7C10D2_hP21_143_2a_2abcd_2b2c2d_bc-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 143, then the Wyckoff letters occupied by each element in turn (Cl: 1a; Cl: 1a; Cu: 1a; Cu: 1a; Cu: 1b; O: 1b; O: 1b; V: 1b; Cu: 1c; O: 1c; O: 1c; V: 1c; Cu: 3d; O: 3d; O: 3d). 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 A2B7C10D2_hP21_143_2a_2abcd_2b2c2d_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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