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Crystal Lab › Prototype structures › Trigonal

Rinneite (K₃NaFeCl₆)

Trigonal · space group R-3c (No. 167) · Pearson hR22 · mineral: rinneite

Symmetry elements and Wyckoff positions (interactive)

Rinneite (K₃NaFeCl₆) in R-3c

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

Unit cell

Lattice constants
a = 12.033 Å, b = 12.033 Å, c = 13.863 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
1738.3 ų
Atoms in the conventional cell
66 (Na 6, Fe 6, K 18, Cl 36)
Formula units Z
6
Pearson symbol
hR22 — hexagonal / trigonal, rhombohedral lattice, 22 atoms per conventional cell
Symmetry operations
36 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Na4Na6a60.00000.00000.2500
Fe2Fe6b60.00000.00000.0000
K3K18e180.62390.00000.2500
Cl1Cl36f360.97300.15290.6075

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 66 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

A6BC3D_hR22_167_f_b_e_a-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hR22, then the space-group number 167, then the Wyckoff letters occupied by each element in turn (Na: 6a; Fe: 6b; K: 18e; Cl: 36f). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

Ca₃LiOsO₆, Ca₃LiRuO₆, Sr₃NiIrO₆, K₄CdCl₆ <!--beginning with an

Note: Rinneite.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A6BC3D_hR22_167_f_b_e_a-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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