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Crystal Lab › Prototype structures › Trigonal

Cs₆W₁₁O₃₆

Trigonal · space group R-3c (No. 167) · Pearson hR106

Symmetry elements and Wyckoff positions (interactive)

Cs₆W₁₁O₃₆ in R-3c

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

Unit cell

Lattice constants
a = 7.261 Å, b = 7.261 Å, c = 110.580 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
5048.9 ų
Atoms in the conventional cell
318 (Cs 36, W 66, O 216)
Formula units Z
6
Pearson symbol
hR106 — hexagonal / trigonal, rhombohedral lattice, 106 atoms per conventional cell
Symmetry operations
36 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Cs1Cs12c120.00000.00000.8430
Cs2Cs12c120.00000.00000.8834
Cs3Cs12c120.00000.00000.2711
W10W12c120.00000.00000.9446
W11W18e180.53060.00000.2500
O4O36f360.53430.08870.2658
O5O36f360.44330.91370.1940
O6O36f360.79630.58070.2861
O7O36f360.87630.72870.3201
O8O36f360.79830.57970.2462
O9O36f360.75530.86370.3003
W12W36f360.81980.14720.3050

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 318 atoms drawn above are these sites multiplied by all 36 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

A6B36C11_hR106_167_3c_6f_cef-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hR106, then the space-group number 167, then the Wyckoff letters occupied by each element in turn (Cs: 12c; Cs: 12c; Cs: 12c; W: 12c; W: 18e; O: 36f; O: 36f; O: 36f; O: 36f; O: 36f; O: 36f; W: 36f). 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 A6B36C11_hR106_167_3c_6f_cef-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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