TiAgZn(PO4)3 crystallizes in the trigonal R3c space group. Ti(1) is bonded to three equivalent O(2) and three equivalent O(4) atoms to form TiO6 octahedra that share corners with six equivalent P(1)O4 tetrahedra and  a faceface with one Zn(1)O6 octahedra. Ag(1) is bonded to three equivalent O(1) and three equivalent O(3) atoms to form distorted AgO6 octahedra that share corners with six equivalent P(1)O4 tetrahedra and  a faceface with one Zn(1)O6 octahedra. Zn(1) is bonded to three equivalent O(2) and three equivalent O(3) atoms to form distorted ZnO6 octahedra that share corners with six equivalent P(1)O4 tetrahedra,  a faceface with one Ti(1)O6 octahedra, and  a faceface with one Ag(1)O6 octahedra. 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 Ti(1)O6 octahedra, corners with two equivalent Ag(1)O6 octahedra, and corners with two equivalent Zn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 19-52°. There are four inequivalent O sites. In the first O site, O(1) is bonded in a distorted bent 150 degrees geometry to one Ag(1) and one P(1) atom. In the second O site, O(2) is bonded in a 3-coordinate geometry to one Ti(1), one Zn(1), and one P(1) atom. In the third O site, O(3) is bonded in a 3-coordinate geometry to one Ag(1), one Zn(1), and one P(1) atom. In the fourth O site, O(4) is bonded in a bent 150 degrees geometry to one Ti(1) and one P(1) atom.
TiAgZn(PO4)3 crystallizes in the trigonal R3c space group. Ti(1) is bonded to three equivalent O(2) and three equivalent O(4) atoms to form TiO6 octahedra that share corners with six equivalent P(1)O4 tetrahedra and  a faceface with one Zn(1)O6 octahedra. All Ti(1)-O(2) bond lengths are 2.10 Å. All Ti(1)-O(4) bond lengths are 1.90 Å. Ag(1) is bonded to three equivalent O(1) and three equivalent O(3) atoms to form distorted AgO6 octahedra that share corners with six equivalent P(1)O4 tetrahedra and  a faceface with one Zn(1)O6 octahedra. All Ag(1)-O(1) bond lengths are 2.08 Å. All Ag(1)-O(3) bond lengths are 2.18 Å. Zn(1) is bonded to three equivalent O(2) and three equivalent O(3) atoms to form distorted ZnO6 octahedra that share corners with six equivalent P(1)O4 tetrahedra,  a faceface with one Ti(1)O6 octahedra, and  a faceface with one Ag(1)O6 octahedra. All Zn(1)-O(2) bond lengths are 2.20 Å. All Zn(1)-O(3) bond lengths are 2.19 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 Ti(1)O6 octahedra, corners with two equivalent Ag(1)O6 octahedra, and corners with two equivalent Zn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 19-52°. The P(1)-O(1) bond length is 1.52 Å. The P(1)-O(2) bond length is 1.57 Å. The P(1)-O(3) bond length is 1.55 Å. The P(1)-O(4) bond length is 1.57 Å. There are four inequivalent O sites. In the first O site, O(1) is bonded in a distorted bent 150 degrees geometry to one Ag(1) and one P(1) atom. In the second O site, O(2) is bonded in a 3-coordinate geometry to one Ti(1), one Zn(1), and one P(1) atom. In the third O site, O(3) is bonded in a 3-coordinate geometry to one Ag(1), one Zn(1), and one P(1) atom. In the fourth O site, O(4) is bonded in a bent 150 degrees geometry to one Ti(1) and one P(1) atom.