Zr3Pb4TeO13 crystallizes in the trigonal R3m space group. Zr(1) is bonded to one O(2), one O(4), two equivalent O(1), and two equivalent O(3) atoms to form ZrO6 octahedra that share corners with two equivalent Te(1)O6 octahedra, corners with four equivalent Zr(1)O6 octahedra, edges with two equivalent Pb(2)O7 hexagonal pyramids, and edges with four equivalent Pb(1)O7 hexagonal pyramids. The corner-sharing octahedral tilt angles range from 41-50°. There are two inequivalent Pb sites. In the first Pb site, Pb(1) is bonded to one O(1), one O(3), one O(5), two equivalent O(2), and two equivalent O(4) atoms to form distorted PbO7 hexagonal pyramids that share  a cornercorner with one Pb(2)O7 hexagonal pyramid, corners with two equivalent Pb(1)O7 hexagonal pyramids,  an edgeedge with one Pb(2)O7 hexagonal pyramid, edges with two equivalent Pb(1)O7 hexagonal pyramids, edges with two equivalent Te(1)O6 octahedra, and edges with four equivalent Zr(1)O6 octahedra. In the second Pb site, Pb(2) is bonded to one O(5), three equivalent O(1), and three equivalent O(3) atoms to form distorted PbO7 hexagonal pyramids that share corners with three equivalent Pb(1)O7 hexagonal pyramids, edges with three equivalent Pb(1)O7 hexagonal pyramids, and edges with six equivalent Zr(1)O6 octahedra. Te(1) is bonded to three equivalent O(2) and three equivalent O(4) atoms to form TeO6 octahedra that share corners with six equivalent Zr(1)O6 octahedra and edges with six equivalent Pb(1)O7 hexagonal pyramids. The corner-sharing octahedral tilt angles are 41°. There are five inequivalent O sites. In the first O site, O(5) is bonded in a tetrahedral geometry to one Pb(2) and three equivalent Pb(1) atoms. In the second O site, O(1) is bonded in a 4-coordinate geometry to two equivalent Zr(1), one Pb(1), and one Pb(2) atom. In the third O site, O(2) is bonded in a distorted bent 150 degrees geometry to one Zr(1), two equivalent Pb(1), and one Te(1) atom. In the fourth O site, O(3) is bonded in a 2-coordinate geometry to two equivalent Zr(1), one Pb(1), and one Pb(2) atom. In the fifth O site, O(4) is bonded in a distorted bent 150 degrees geometry to one Zr(1), two equivalent Pb(1), and one Te(1) atom.
Zr3Pb4TeO13 crystallizes in the trigonal R3m space group. Zr(1) is bonded to one O(2), one O(4), two equivalent O(1), and two equivalent O(3) atoms to form ZrO6 octahedra that share corners with two equivalent Te(1)O6 octahedra, corners with four equivalent Zr(1)O6 octahedra, edges with two equivalent Pb(2)O7 hexagonal pyramids, and edges with four equivalent Pb(1)O7 hexagonal pyramids. The corner-sharing octahedral tilt angles range from 41-50°. The Zr(1)-O(2) bond length is 2.17 Å. The Zr(1)-O(4) bond length is 2.15 Å. Both Zr(1)-O(1) bond lengths are 2.13 Å. Both Zr(1)-O(3) bond lengths are 2.10 Å. There are two inequivalent Pb sites. In the first Pb site, Pb(1) is bonded to one O(1), one O(3), one O(5), two equivalent O(2), and two equivalent O(4) atoms to form distorted PbO7 hexagonal pyramids that share  a cornercorner with one Pb(2)O7 hexagonal pyramid, corners with two equivalent Pb(1)O7 hexagonal pyramids,  an edgeedge with one Pb(2)O7 hexagonal pyramid, edges with two equivalent Pb(1)O7 hexagonal pyramids, edges with two equivalent Te(1)O6 octahedra, and edges with four equivalent Zr(1)O6 octahedra. The Pb(1)-O(1) bond length is 2.58 Å. The Pb(1)-O(3) bond length is 2.63 Å. The Pb(1)-O(5) bond length is 2.32 Å. Both Pb(1)-O(2) bond lengths are 2.78 Å. Both Pb(1)-O(4) bond lengths are 2.78 Å. In the second Pb site, Pb(2) is bonded to one O(5), three equivalent O(1), and three equivalent O(3) atoms to form distorted PbO7 hexagonal pyramids that share corners with three equivalent Pb(1)O7 hexagonal pyramids, edges with three equivalent Pb(1)O7 hexagonal pyramids, and edges with six equivalent Zr(1)O6 octahedra. The Pb(2)-O(5) bond length is 2.39 Å. All Pb(2)-O(1) bond lengths are 2.70 Å. All Pb(2)-O(3) bond lengths are 2.75 Å. Te(1) is bonded to three equivalent O(2) and three equivalent O(4) atoms to form TeO6 octahedra that share corners with six equivalent Zr(1)O6 octahedra and edges with six equivalent Pb(1)O7 hexagonal pyramids. The corner-sharing octahedral tilt angles are 41°. All Te(1)-O(2) bond lengths are 1.95 Å. All Te(1)-O(4) bond lengths are 1.94 Å. There are five inequivalent O sites. In the first O site, O(5) is bonded in a tetrahedral geometry to one Pb(2) and three equivalent Pb(1) atoms. In the second O site, O(1) is bonded in a 4-coordinate geometry to two equivalent Zr(1), one Pb(1), and one Pb(2) atom. In the third O site, O(2) is bonded in a distorted bent 150 degrees geometry to one Zr(1), two equivalent Pb(1), and one Te(1) atom. In the fourth O site, O(3) is bonded in a 2-coordinate geometry to two equivalent Zr(1), one Pb(1), and one Pb(2) atom. In the fifth O site, O(4) is bonded in a distorted bent 150 degrees geometry to one Zr(1), two equivalent Pb(1), and one Te(1) atom.