Li3Co2(PO4)3 crystallizes in the trigonal R-3 space group. Li(1) is bonded to one O(2), one O(3), and two equivalent O(1) atoms to form distorted LiO4 tetrahedra that share  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra, corners with two equivalent Li(1)O4 tetrahedra, corners with four equivalent P(1)O4 tetrahedra, and  an edgeedge with one Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 62-70°. There are two inequivalent Co sites. In the first Co site, Co(1) is bonded to three equivalent O(3) and three equivalent O(4) atoms to form CoO6 octahedra that share corners with three equivalent Li(1)O4 tetrahedra and corners with six equivalent P(1)O4 tetrahedra. In the second Co site, Co(2) is bonded to three equivalent O(1) and three equivalent O(2) atoms to form CoO6 octahedra that share corners with three equivalent Li(1)O4 tetrahedra, corners with six equivalent P(1)O4 tetrahedra, and edges with three equivalent Li(1)O4 tetrahedra. P(1) is bonded to one O(1), one O(2), one O(3), and one O(4) atom to form PO4 tetrahedra that share corners with two equivalent Co(1)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, and corners with four equivalent Li(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 29-48°. There are four inequivalent O sites. In the first O site, O(1) is bonded to two equivalent Li(1), one Co(2), and one P(1) atom to form distorted corner-sharing OLi2CoP tetrahedra. In the second O site, O(2) is bonded in a distorted trigonal planar geometry to one Li(1), one Co(2), and one P(1) atom. In the third O site, O(3) is bonded in a distorted trigonal planar geometry to one Li(1), one Co(1), and one P(1) atom. In the fourth O site, O(4) is bonded in a bent 150 degrees geometry to one Co(1) and one P(1) atom.
Li3Co2(PO4)3 crystallizes in the trigonal R-3 space group. Li(1) is bonded to one O(2), one O(3), and two equivalent O(1) atoms to form distorted LiO4 tetrahedra that share  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra, corners with two equivalent Li(1)O4 tetrahedra, corners with four equivalent P(1)O4 tetrahedra, and  an edgeedge with one Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 62-70°. The Li(1)-O(2) bond length is 1.93 Å. The Li(1)-O(3) bond length is 1.92 Å. There is one shorter (2.04 Å) and one longer (2.15 Å) Li(1)-O(1) bond length. There are two inequivalent Co sites. In the first Co site, Co(1) is bonded to three equivalent O(3) and three equivalent O(4) atoms to form CoO6 octahedra that share corners with three equivalent Li(1)O4 tetrahedra and corners with six equivalent P(1)O4 tetrahedra. All Co(1)-O(3) bond lengths are 2.11 Å. All Co(1)-O(4) bond lengths are 1.93 Å. In the second Co site, Co(2) is bonded to three equivalent O(1) and three equivalent O(2) atoms to form CoO6 octahedra that share corners with three equivalent Li(1)O4 tetrahedra, corners with six equivalent P(1)O4 tetrahedra, and edges with three equivalent Li(1)O4 tetrahedra. All Co(2)-O(1) bond lengths are 1.94 Å. All Co(2)-O(2) bond lengths are 1.97 Å. P(1) is bonded to one O(1), one O(2), one O(3), and one O(4) atom to form PO4 tetrahedra that share corners with two equivalent Co(1)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, and corners with four equivalent Li(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 29-48°. The P(1)-O(1) bond length is 1.59 Å. The P(1)-O(2) bond length is 1.55 Å. The P(1)-O(3) bond length is 1.54 Å. The P(1)-O(4) bond length is 1.52 Å. There are four inequivalent O sites. In the first O site, O(1) is bonded to two equivalent Li(1), one Co(2), and one P(1) atom to form distorted corner-sharing OLi2CoP tetrahedra. In the second O site, O(2) is bonded in a distorted trigonal planar geometry to one Li(1), one Co(2), and one P(1) atom. In the third O site, O(3) is bonded in a distorted trigonal planar geometry to one Li(1), one Co(1), and one P(1) atom. In the fourth O site, O(4) is bonded in a bent 150 degrees geometry to one Co(1) and one P(1) atom.