Crystal Lab › Prototype structures › Orthorhombic
β-Li₃PO₄ Li₃O₄P
Orthorhombic · space group Pmn21 (No. 31) · Pearson oP16
Symmetry elements and Wyckoff positions (interactive)
β-Li₃PO₄ in Pmn21
SettingUnit cell
- Lattice constants
- a = 6.130 Å, b = 5.255 Å, c = 4.870 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 156.9 ų
- Atoms in the conventional cell
- 16 (Li 6, O 8, P 2)
- Formula units Z
- 2
- Pearson symbol
- oP16 — orthorhombic, primitive lattice, 16 atoms per conventional cell
- Symmetry operations
- 4 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Li1 | Li | 2a | 2 | 0.0000 | 0.1760 | 0.4861 |
| O3 | O | 2a | 2 | 0.0000 | 0.1104 | 0.8959 |
| O4 | O | 2a | 2 | 0.0000 | 0.8148 | 0.3131 |
| P6 | P | 2a | 2 | 0.0000 | 0.8262 | 0.9904 |
| Li2 | Li | 4b | 4 | 0.2473 | 0.3270 | 0.0128 |
| O5 | O | 4b | 4 | 0.2069 | 0.6849 | 0.9027 |
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 16 atoms drawn above are these sites multiplied by all 4 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
A3B4C_oP16_31_ab_2ab_a-002: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol oP16, then the space-group number 31, then the Wyckoff letters occupied by each element in turn (Li: 2a; O: 2a; O: 2a; P: 2a; Li: 4b; O: 4b). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
Li₂CoSiO₄, Li₂FeSiO₄, Li₂MnSiO₄ <!--beginning with an
Note: \beta-Li₃PO₄.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A3B4C_oP16_31_ab_2ab_a-002 (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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