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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

Setting
Loading the group…
x = 0.10, y = 0.17, z = 0.08

Unit 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

SiteElementWyckoffMultiplicityxyz
Li1Li2a20.00000.17600.4861
O3O2a20.00000.11040.8959
O4O2a20.00000.81480.3131
P6P2a20.00000.82620.9904
Li2Li4b40.24730.32700.0128
O5O4b40.20690.68490.9027

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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