Co3ZnP3O13 crystallizes in the monoclinic P2_1/m space group. There are three inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(1), one O(5), one O(6), one O(9), and two equivalent O(8) atoms to form distorted CoO6 pentagonal pyramids that share corners with two equivalent Co(3)O6 octahedra,  a cornercorner with one P(1)O4 tetrahedra, corners with two equivalent P(2)O4 tetrahedra,  a cornercorner with one Co(2)O5 trigonal bipyramid, and  an edgeedge with one P(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 54°. In the second Co site, Co(2) is bonded to one O(1), one O(3), one O(7), and two equivalent O(2) atoms to form distorted CoO5 trigonal bipyramids that share  a cornercorner with one Co(1)O6 pentagonal pyramid,  a cornercorner with one P(2)O4 tetrahedra,  a cornercorner with one P(3)O4 tetrahedra, and corners with three equivalent P(1)O4 tetrahedra. In the third Co site, Co(3) is bonded to two equivalent O(10), two equivalent O(4), and two equivalent O(6) atoms to form CoO6 octahedra that share corners with two equivalent Co(1)O6 pentagonal pyramids, corners with two equivalent P(2)O4 tetrahedra, corners with two equivalent P(3)O4 tetrahedra, and edges with two equivalent Co(3)O6 octahedra. Zn(1) is bonded in a 7-coordinate geometry to one O(9), two equivalent O(2), two equivalent O(4), and two equivalent O(8) atoms. There are three inequivalent P sites. In the first P site, P(1) is bonded to one O(5), one O(7), and two equivalent O(2) atoms to form PO4 tetrahedra that share  a cornercorner with one Co(1)O6 pentagonal pyramid and corners with three equivalent Co(2)O5 trigonal bipyramids. In the second P site, P(2) is bonded to one O(10), one O(3), and two equivalent O(8) atoms to form PO4 tetrahedra that share corners with two equivalent Co(3)O6 octahedra, corners with two equivalent Co(1)O6 pentagonal pyramids, and  a cornercorner with one Co(2)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 55°. In the third P site, P(3) is bonded to one O(1), one O(9), and two equivalent O(4) atoms to form PO4 tetrahedra that share corners with two equivalent Co(3)O6 octahedra,  a cornercorner with one Co(2)O5 trigonal bipyramid, and  an edgeedge with one Co(1)O6 pentagonal pyramid. The corner-sharing octahedral tilt angles are 52°. There are ten inequivalent O sites. In the first O site, O(10) is bonded in a distorted trigonal planar geometry to two equivalent Co(3) and one P(2) atom. In the second O site, O(1) is bonded in a distorted trigonal planar geometry to one Co(1), one Co(2), and one P(3) atom. In the third O site, O(2) is bonded in a 2-coordinate geometry to one Co(2), one Zn(1), and one P(1) atom. In the fourth O site, O(3) is bonded in a linear geometry to one Co(2) and one P(2) atom. In the fifth O site, O(4) is bonded in a distorted trigonal planar geometry to one Co(3), one Zn(1), and one P(3) atom. In the sixth O site, O(5) is bonded in a bent 150 degrees geometry to one Co(1) and one P(1) atom. In the seventh O site, O(6) is bonded in a trigonal planar geometry to one Co(1) and two equivalent Co(3) atoms. In the eighth O site, O(7) is bonded in a bent 150 degrees geometry to one Co(2) and one P(1) atom. In the ninth O site, O(8) is bonded in a 3-coordinate geometry to one Co(1), one Zn(1), and one P(2) atom. In the tenth O site, O(9) is bonded in a 3-coordinate geometry to one Co(1), one Zn(1), and one P(3) atom.
Co3ZnP3O13 crystallizes in the monoclinic P2_1/m space group. There are three inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(1), one O(5), one O(6), one O(9), and two equivalent O(8) atoms to form distorted CoO6 pentagonal pyramids that share corners with two equivalent Co(3)O6 octahedra,  a cornercorner with one P(1)O4 tetrahedra, corners with two equivalent P(2)O4 tetrahedra,  a cornercorner with one Co(2)O5 trigonal bipyramid, and  an edgeedge with one P(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 54°. The Co(1)-O(1) bond length is 2.07 Å. The Co(1)-O(5) bond length is 1.93 Å. The Co(1)-O(6) bond length is 1.85 Å. The Co(1)-O(9) bond length is 2.24 Å. Both Co(1)-O(8) bond lengths are 1.98 Å. In the second Co site, Co(2) is bonded to one O(1), one O(3), one O(7), and two equivalent O(2) atoms to form distorted CoO5 trigonal bipyramids that share  a cornercorner with one Co(1)O6 pentagonal pyramid,  a cornercorner with one P(2)O4 tetrahedra,  a cornercorner with one P(3)O4 tetrahedra, and corners with three equivalent P(1)O4 tetrahedra. The Co(2)-O(1) bond length is 1.97 Å. The Co(2)-O(3) bond length is 1.91 Å. The Co(2)-O(7) bond length is 1.81 Å. Both Co(2)-O(2) bond lengths are 1.98 Å. In the third Co site, Co(3) is bonded to two equivalent O(10), two equivalent O(4), and two equivalent O(6) atoms to form CoO6 octahedra that share corners with two equivalent Co(1)O6 pentagonal pyramids, corners with two equivalent P(2)O4 tetrahedra, corners with two equivalent P(3)O4 tetrahedra, and edges with two equivalent Co(3)O6 octahedra. Both Co(3)-O(10) bond lengths are 2.08 Å. Both Co(3)-O(4) bond lengths are 2.01 Å. Both Co(3)-O(6) bond lengths are 1.98 Å. Zn(1) is bonded in a 7-coordinate geometry to one O(9), two equivalent O(2), two equivalent O(4), and two equivalent O(8) atoms. The Zn(1)-O(9) bond length is 2.05 Å. Both Zn(1)-O(2) bond lengths are 2.59 Å. Both Zn(1)-O(4) bond lengths are 2.42 Å. Both Zn(1)-O(8) bond lengths are 2.23 Å. There are three inequivalent P sites. In the first P site, P(1) is bonded to one O(5), one O(7), and two equivalent O(2) atoms to form PO4 tetrahedra that share  a cornercorner with one Co(1)O6 pentagonal pyramid and corners with three equivalent Co(2)O5 trigonal bipyramids. The P(1)-O(5) bond length is 1.53 Å. The P(1)-O(7) bond length is 1.57 Å. Both P(1)-O(2) bond lengths are 1.55 Å. In the second P site, P(2) is bonded to one O(10), one O(3), and two equivalent O(8) atoms to form PO4 tetrahedra that share corners with two equivalent Co(3)O6 octahedra, corners with two equivalent Co(1)O6 pentagonal pyramids, and  a cornercorner with one Co(2)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 55°. The P(2)-O(10) bond length is 1.56 Å. The P(2)-O(3) bond length is 1.51 Å. Both P(2)-O(8) bond lengths are 1.56 Å. In the third P site, P(3) is bonded to one O(1), one O(9), and two equivalent O(4) atoms to form PO4 tetrahedra that share corners with two equivalent Co(3)O6 octahedra,  a cornercorner with one Co(2)O5 trigonal bipyramid, and  an edgeedge with one Co(1)O6 pentagonal pyramid. The corner-sharing octahedral tilt angles are 52°. The P(3)-O(1) bond length is 1.55 Å. The P(3)-O(9) bond length is 1.55 Å. Both P(3)-O(4) bond lengths are 1.56 Å. There are ten inequivalent O sites. In the first O site, O(10) is bonded in a distorted trigonal planar geometry to two equivalent Co(3) and one P(2) atom. In the second O site, O(1) is bonded in a distorted trigonal planar geometry to one Co(1), one Co(2), and one P(3) atom. In the third O site, O(2) is bonded in a 2-coordinate geometry to one Co(2), one Zn(1), and one P(1) atom. In the fourth O site, O(3) is bonded in a linear geometry to one Co(2) and one P(2) atom. In the fifth O site, O(4) is bonded in a distorted trigonal planar geometry to one Co(3), one Zn(1), and one P(3) atom. In the sixth O site, O(5) is bonded in a bent 150 degrees geometry to one Co(1) and one P(1) atom. In the seventh O site, O(6) is bonded in a trigonal planar geometry to one Co(1) and two equivalent Co(3) atoms. In the eighth O site, O(7) is bonded in a bent 150 degrees geometry to one Co(2) and one P(1) atom. In the ninth O site, O(8) is bonded in a 3-coordinate geometry to one Co(1), one Zn(1), and one P(2) atom. In the tenth O site, O(9) is bonded in a 3-coordinate geometry to one Co(1), one Zn(1), and one P(3) atom.