Crystal Lab › Prototype structures › Hexagonal
CsCrF₄
Hexagonal · space group P-62m (No. 189) · Pearson hP18
Symmetry elements and Wyckoff positions (interactive)
CsCrF₄ in P-62m
SettingUnit cell
- Lattice constants
- a = 9.650 Å, b = 9.650 Å, c = 3.857 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 311.1 ų
- Atoms in the conventional cell
- 18 (Cr 3, F 12, Cs 3)
- Formula units Z
- 3
- Pearson symbol
- hP18 — hexagonal / trigonal, primitive lattice, 18 atoms per conventional cell
- Symmetry operations
- 12 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Cr1 | Cr | 3f | 3 | 0.2238 | 0.0000 | 0.0000 |
| F3 | F | 3f | 3 | 0.8349 | 0.0000 | 0.0000 |
| Cs2 | Cs | 3g | 3 | 0.5724 | 0.0000 | 0.5000 |
| F4 | F | 3g | 3 | 0.2201 | 0.0000 | 0.5000 |
| F5 | F | 6j | 6 | 0.4365 | 0.1597 | 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 18 atoms drawn above are these sites multiplied by all 12 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
ABC4_hP18_189_f_g_fgj-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP18, then the space-group number 189, then the Wyckoff letters occupied by each element in turn (Cr: 3f; F: 3f; Cs: 3g; F: 3g; F: 6j). 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 ABC4_hP18_189_f_g_fgj-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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