Crystal Lab › Prototype structures › Hexagonal
Rhadophane (CePO₄)
Hexagonal · space group P6222 (No. 180) · Pearson hP18 · mineral: rhadophane
Symmetry elements and Wyckoff positions (interactive)
Rhadophane (CePO₄) in P6222
SettingUnit cell
- Lattice constants
- a = 7.055 Å, b = 7.055 Å, c = 6.439 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 277.6 ų
- Atoms in the conventional cell
- 18 (Ce 3, P 3, O 12)
- 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 |
|---|---|---|---|---|---|---|
| Ce1 | Ce | 3c | 3 | 0.5000 | 0.0000 | 0.0000 |
| P3 | P | 3d | 3 | 0.5000 | 0.0000 | 0.5000 |
| O2 | O | 12k | 12 | 0.4460 | 0.1470 | 0.3600 |
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
AB4C_hP18_180_c_k_d-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 180, then the Wyckoff letters occupied by each element in turn (Ce: 3c; P: 3d; O: 12k). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
LaPO₄, NdPO₄ <!--beginning with an
Note: Rhadophane.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB4C_hP18_180_c_k_d-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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