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Dioptase [Cu₆(Si₆O₁₈)cdot6H₂O]

Trigonal · space group R-3 (No. 148) · Pearson hR48 · mineral: dioptase

Symmetry elements and Wyckoff positions (interactive)

Dioptase [Cu₆(Si₆O₁₈)cdot6H₂O] in R-3

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

Unit cell

Lattice constants
a = 14.566 Å, b = 14.566 Å, c = 7.778 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
1429.2 ų
Atoms in the conventional cell
144 (Cu 18, H 36, O 72, Si 18)
Formula units Z
18
Pearson symbol
hR48 — hexagonal / trigonal, rhombohedral lattice, 48 atoms per conventional cell
Symmetry operations
18 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Cu1Cu18f180.93080.26020.2297
H2H18f180.22730.52070.7257
H3H18f180.17130.55770.8467
O4O18f180.15250.59520.0839
O5O18f180.03380.38600.1026
O6O18f180.06560.50670.3805
O7O18f180.15130.52450.7451
Si8Si18f180.11590.49100.2080

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 144 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

AB2C4D_hR48_148_f_2f_4f_f-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hR48, then the space-group number 148, then the Wyckoff letters occupied by each element in turn (Cu: 18f; H: 18f; H: 18f; O: 18f; O: 18f; O: 18f; O: 18f; Si: 18f). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: Dioptase.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB2C4D_hR48_148_f_2f_4f_f-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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