Crystal Lab › Prototype structures › Trigonal
Cronstedtite {Fe(Fe,Si)[(OH)₂O]O₃OH, S5₇}
Trigonal · space group R3m (No. 160) · Pearson hR7 · Strukturbericht S57 · mineral: cronstedtite
Symmetry elements and Wyckoff positions (interactive)
Cronstedtite {Fe(Fe,Si)[(OH)₂O]O₃OH, S5₇} in R3m
SettingUnit cell
- Lattice constants
- a = 5.480 Å, b = 5.480 Å, c = 21.250 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 552.7 ų
- Atoms in the conventional cell
- 21 (Fe 3, O 15, Si 3)
- Formula units Z
- 3
- Pearson symbol
- hR7 — hexagonal / trigonal, rhombohedral lattice, 7 atoms per conventional cell
- Symmetry operations
- 18 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Fe1 | Fe | 3a | 3 | 0.0000 | 0.0000 | 0.8300 |
| OH3 | O | 3a | 3 | 0.0000 | 0.0000 | 0.1100 |
| OH4 | O | 3a | 3 | 0.0000 | 0.0000 | 0.5400 |
| Si5 | Si | 3a | 3 | 0.0000 | 0.0000 | 0.0300 |
| O2 | O | 9b | 9 | 0.5000 | 0.5000 | 0.0000 |
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 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
AB3C2D_hR7_160_a_b_2a_a-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hR7, then the space-group number 160, then the Wyckoff letters occupied by each element in turn (Fe: 3a; O: 3a; O: 3a; Si: 3a; O: 9b). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: S5₇, Cronstedtite.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB3C2D_hR7_160_a_b_2a_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.
← Rhombohedral MoS₂ · Space group R3m (21 prototypes) · All prototypes · Rhombohedral BaTiO₃ — BaO₃Ti →