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
SettingUnit 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
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Na4 | Na | 6a | 6 | 0.0000 | 0.0000 | 0.2500 |
| Fe2 | Fe | 6b | 6 | 0.0000 | 0.0000 | 0.0000 |
| K3 | K | 18e | 18 | 0.6239 | 0.0000 | 0.2500 |
| Cl1 | Cl | 36f | 36 | 0.9730 | 0.1529 | 0.6075 |
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.
← Cs₆W₁₁O₃₆ · Space group R-3c (18 prototypes) · All prototypes · Cs₃Tl₂Cl₉ (K7₂) →