Ag3ZnP3O13 crystallizes in the monoclinic P2_1/m space group. There are three inequivalent Ag sites. In the first Ag site, Ag(1) is bonded in a 6-coordinate geometry to one O(1), one O(5), one O(6), one O(9), and two equivalent O(8) atoms. In the second Ag site, Ag(2) is bonded to one O(1), one O(3), one O(7), and two equivalent O(2) atoms to form distorted AgO5 square pyramids that share  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 Ag site, Ag(3) is bonded to two equivalent O(10), two equivalent O(4), and two equivalent O(6) atoms to form AgO6 octahedra that share corners with two equivalent Zn(1)O5 square pyramids, corners with two equivalent P(2)O4 tetrahedra, corners with two equivalent P(3)O4 tetrahedra, and edges with two equivalent Ag(3)O6 octahedra. Zn(1) is bonded to one O(9), two equivalent O(4), and two equivalent O(8) atoms to form distorted ZnO5 square pyramids that share corners with two equivalent Ag(3)O6 octahedra, corners with three equivalent P(3)O4 tetrahedra, and  an edgeedge with one P(2)O4 tetrahedra. The corner-sharing octahedral tilt angles are 61°. 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 corners with three equivalent Ag(2)O5 square pyramids. 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 Ag(3)O6 octahedra,  a cornercorner with one Ag(2)O5 square pyramid, and  an edgeedge with one Zn(1)O5 square pyramid. The corner-sharing octahedral tilt angles are 49°. 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 Ag(3)O6 octahedra,  a cornercorner with one Ag(2)O5 square pyramid, and corners with three equivalent Zn(1)O5 square pyramids. The corner-sharing octahedral tilt angles are 56°. There are ten inequivalent O sites. In the first O site, O(10) is bonded in a 3-coordinate geometry to two equivalent Ag(3) and one P(2) atom. In the second O site, O(1) is bonded in a distorted trigonal planar geometry to one Ag(1), one Ag(2), and one P(3) atom. In the third O site, O(2) is bonded in a distorted bent 120 degrees geometry to one Ag(2) and one P(1) atom. In the fourth O site, O(3) is bonded in a bent 150 degrees geometry to one Ag(2) and one P(2) atom. In the fifth O site, O(4) is bonded in a distorted trigonal planar geometry to one Ag(3), one Zn(1), and one P(3) atom. In the sixth O site, O(5) is bonded in a distorted bent 120 degrees geometry to one Ag(1) and one P(1) atom. In the seventh O site, O(6) is bonded in a trigonal planar geometry to one Ag(1) and two equivalent Ag(3) atoms. In the eighth O site, O(7) is bonded in a distorted single-bond geometry to one Ag(2) and one P(1) atom. In the ninth O site, O(8) is bonded in a distorted trigonal planar geometry to one Ag(1), one Zn(1), and one P(2) atom. In the tenth O site, O(9) is bonded in a distorted bent 150 degrees geometry to one Ag(1), one Zn(1), and one P(3) atom.
Ag3ZnP3O13 crystallizes in the monoclinic P2_1/m space group. There are three inequivalent Ag sites. In the first Ag site, Ag(1) is bonded in a 6-coordinate geometry to one O(1), one O(5), one O(6), one O(9), and two equivalent O(8) atoms. The Ag(1)-O(1) bond length is 2.22 Å. The Ag(1)-O(5) bond length is 2.16 Å. The Ag(1)-O(6) bond length is 2.07 Å. The Ag(1)-O(9) bond length is 2.58 Å. Both Ag(1)-O(8) bond lengths are 2.13 Å. In the second Ag site, Ag(2) is bonded to one O(1), one O(3), one O(7), and two equivalent O(2) atoms to form distorted AgO5 square pyramids that share  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 Ag(2)-O(1) bond length is 2.10 Å. The Ag(2)-O(3) bond length is 2.11 Å. The Ag(2)-O(7) bond length is 2.52 Å. Both Ag(2)-O(2) bond lengths are 2.08 Å. In the third Ag site, Ag(3) is bonded to two equivalent O(10), two equivalent O(4), and two equivalent O(6) atoms to form AgO6 octahedra that share corners with two equivalent Zn(1)O5 square pyramids, corners with two equivalent P(2)O4 tetrahedra, corners with two equivalent P(3)O4 tetrahedra, and edges with two equivalent Ag(3)O6 octahedra. Both Ag(3)-O(10) bond lengths are 2.31 Å. Both Ag(3)-O(4) bond lengths are 2.32 Å. Both Ag(3)-O(6) bond lengths are 2.03 Å. Zn(1) is bonded to one O(9), two equivalent O(4), and two equivalent O(8) atoms to form distorted ZnO5 square pyramids that share corners with two equivalent Ag(3)O6 octahedra, corners with three equivalent P(3)O4 tetrahedra, and  an edgeedge with one P(2)O4 tetrahedra. The corner-sharing octahedral tilt angles are 61°. The Zn(1)-O(9) bond length is 1.96 Å. Both Zn(1)-O(4) bond lengths are 2.32 Å. Both Zn(1)-O(8) bond lengths are 2.28 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 corners with three equivalent Ag(2)O5 square pyramids. The P(1)-O(5) bond length is 1.56 Å. The P(1)-O(7) bond length is 1.51 Å. Both P(1)-O(2) bond lengths are 1.56 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 Ag(3)O6 octahedra,  a cornercorner with one Ag(2)O5 square pyramid, and  an edgeedge with one Zn(1)O5 square pyramid. The corner-sharing octahedral tilt angles are 49°. The P(2)-O(10) bond length is 1.54 Å. The P(2)-O(3) bond length is 1.53 Å. Both P(2)-O(8) bond lengths are 1.57 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 Ag(3)O6 octahedra,  a cornercorner with one Ag(2)O5 square pyramid, and corners with three equivalent Zn(1)O5 square pyramids. The corner-sharing octahedral tilt angles are 56°. The P(3)-O(1) bond length is 1.57 Å. The P(3)-O(9) bond length is 1.54 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 3-coordinate geometry to two equivalent Ag(3) and one P(2) atom. In the second O site, O(1) is bonded in a distorted trigonal planar geometry to one Ag(1), one Ag(2), and one P(3) atom. In the third O site, O(2) is bonded in a distorted bent 120 degrees geometry to one Ag(2) and one P(1) atom. In the fourth O site, O(3) is bonded in a bent 150 degrees geometry to one Ag(2) and one P(2) atom. In the fifth O site, O(4) is bonded in a distorted trigonal planar geometry to one Ag(3), one Zn(1), and one P(3) atom. In the sixth O site, O(5) is bonded in a distorted bent 120 degrees geometry to one Ag(1) and one P(1) atom. In the seventh O site, O(6) is bonded in a trigonal planar geometry to one Ag(1) and two equivalent Ag(3) atoms. In the eighth O site, O(7) is bonded in a distorted single-bond geometry to one Ag(2) and one P(1) atom. In the ninth O site, O(8) is bonded in a distorted trigonal planar geometry to one Ag(1), one Zn(1), and one P(2) atom. In the tenth O site, O(9) is bonded in a distorted bent 150 degrees geometry to one Ag(1), one Zn(1), and one P(3) atom.