Crystal Lab › Prototype structures › Trigonal
Rhombohedral LiZnPO₄ LiO₄PZn
Trigonal · space group R3 (No. 146) · Pearson hR42
Symmetry elements and Wyckoff positions (interactive)
Rhombohedral LiZnPO₄ in R3
SettingUnit cell
- Lattice constants
- a = 13.628 Å, b = 13.628 Å, c = 9.096 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 1463.0 ų
- Atoms in the conventional cell
- 126 (Li 18, O 72, P 18, Zn 18)
- Formula units Z
- 18
- Pearson symbol
- hR42 — hexagonal / trigonal, rhombohedral lattice, 42 atoms per conventional cell
- Symmetry operations
- 9 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Li1 | Li | 9b | 9 | 0.7940 | 0.9849 | 0.4143 |
| Li2 | Li | 9b | 9 | 0.5465 | 0.6874 | 0.5763 |
| O10 | O | 9b | 9 | 0.1074 | 0.2146 | 0.5831 |
| O3 | O | 9b | 9 | 0.2081 | 0.0783 | 0.7195 |
| O4 | O | 9b | 9 | 0.7971 | 0.9283 | 0.2241 |
| O5 | O | 9b | 9 | 0.6734 | 0.0197 | 0.4177 |
| O6 | O | 9b | 9 | 0.3177 | 0.0027 | 0.5849 |
| O7 | O | 9b | 9 | 0.5531 | 0.7760 | 0.7492 |
| O8 | O | 9b | 9 | 0.7962 | 0.5395 | 0.2795 |
| O9 | O | 9b | 9 | 0.2055 | 0.0742 | 0.4432 |
| P11 | P | 9b | 9 | 0.2103 | 0.0134 | 0.5822 |
| P12 | P | 9b | 9 | 0.6796 | 0.1357 | 0.4177 |
| Zn13 | Zn | 9b | 9 | 0.1936 | 0.2127 | 0.7501 |
| Zn14 | Zn | 9b | 9 | 0.8062 | 0.7916 | 0.2478 |
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 126 atoms drawn above are these sites multiplied by all 9 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
AB4CD_hR42_146_2b_8b_2b_2b-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hR42, then the space-group number 146, then the Wyckoff letters occupied by each element in turn (Li: 9b; Li: 9b; O: 9b; O: 9b; O: 9b; O: 9b; O: 9b; O: 9b; O: 9b; O: 9b; P: 9b; P: 9b; Zn: 9b; Zn: 9b). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
LiAlSiO₄ (α-eucryptite) <!--beginning with an
Note: Rhomb. LiZnPO₄.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB4CD_hR42_146_2b_8b_2b_2b-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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