AlPb4Sb3O13 crystallizes in the trigonal R3m space group. Al(1) is bonded to three equivalent O(1) and three equivalent O(3) atoms to form AlO6 octahedra that share corners with six equivalent Sb(1)O6 octahedra and edges with six equivalent Pb(2)O7 hexagonal pyramids. The corner-sharing octahedral tilt angles range from 42-43°. There are two inequivalent Pb sites. In the first Pb site, Pb(1) is bonded to one O(5), three equivalent O(2), and three equivalent O(4) atoms to form distorted PbO7 hexagonal pyramids that share corners with three equivalent Pb(2)O7 hexagonal pyramids, edges with three equivalent Pb(2)O7 hexagonal pyramids, and edges with six equivalent Sb(1)O6 octahedra. In the second Pb site, Pb(2) is bonded to one O(2), one O(4), one O(5), two equivalent O(1), and two equivalent O(3) atoms to form distorted PbO7 hexagonal pyramids that share  a cornercorner with one Pb(1)O7 hexagonal pyramid, corners with two equivalent Pb(2)O7 hexagonal pyramids,  an edgeedge with one Pb(1)O7 hexagonal pyramid, edges with two equivalent Pb(2)O7 hexagonal pyramids, edges with two equivalent Al(1)O6 octahedra, and edges with four equivalent Sb(1)O6 octahedra. Sb(1) is bonded to one O(1), one O(3), two equivalent O(2), and two equivalent O(4) atoms to form SbO6 octahedra that share corners with two equivalent Al(1)O6 octahedra, corners with four equivalent Sb(1)O6 octahedra, edges with two equivalent Pb(1)O7 hexagonal pyramids, and edges with four equivalent Pb(2)O7 hexagonal pyramids. The corner-sharing octahedral tilt angles range from 42-45°. There are five inequivalent O sites. In the first O site, O(5) is bonded in a tetrahedral geometry to one Pb(1) and three equivalent Pb(2) atoms. In the second O site, O(1) is bonded in a 2-coordinate geometry to one Al(1), two equivalent Pb(2), and one Sb(1) atom. In the third O site, O(2) is bonded in a 4-coordinate geometry to one Pb(1), one Pb(2), and two equivalent Sb(1) atoms. In the fourth O site, O(3) is bonded in a 2-coordinate geometry to one Al(1), two equivalent Pb(2), and one Sb(1) atom. In the fifth O site, O(4) is bonded in a 4-coordinate geometry to one Pb(1), one Pb(2), and two equivalent Sb(1) atoms.
AlPb4Sb3O13 crystallizes in the trigonal R3m space group. Al(1) is bonded to three equivalent O(1) and three equivalent O(3) atoms to form AlO6 octahedra that share corners with six equivalent Sb(1)O6 octahedra and edges with six equivalent Pb(2)O7 hexagonal pyramids. The corner-sharing octahedral tilt angles range from 42-43°. All Al(1)-O(1) bond lengths are 2.00 Å. All Al(1)-O(3) bond lengths are 1.97 Å. There are two inequivalent Pb sites. In the first Pb site, Pb(1) is bonded to one O(5), three equivalent O(2), and three equivalent O(4) atoms to form distorted PbO7 hexagonal pyramids that share corners with three equivalent Pb(2)O7 hexagonal pyramids, edges with three equivalent Pb(2)O7 hexagonal pyramids, and edges with six equivalent Sb(1)O6 octahedra. The Pb(1)-O(5) bond length is 2.29 Å. All Pb(1)-O(2) bond lengths are 2.65 Å. All Pb(1)-O(4) bond lengths are 2.66 Å. In the second Pb site, Pb(2) is bonded to one O(2), one O(4), one O(5), two equivalent O(1), and two equivalent O(3) atoms to form distorted PbO7 hexagonal pyramids that share  a cornercorner with one Pb(1)O7 hexagonal pyramid, corners with two equivalent Pb(2)O7 hexagonal pyramids,  an edgeedge with one Pb(1)O7 hexagonal pyramid, edges with two equivalent Pb(2)O7 hexagonal pyramids, edges with two equivalent Al(1)O6 octahedra, and edges with four equivalent Sb(1)O6 octahedra. The Pb(2)-O(2) bond length is 2.60 Å. The Pb(2)-O(4) bond length is 2.61 Å. The Pb(2)-O(5) bond length is 2.34 Å. Both Pb(2)-O(1) bond lengths are 2.68 Å. Both Pb(2)-O(3) bond lengths are 2.69 Å. Sb(1) is bonded to one O(1), one O(3), two equivalent O(2), and two equivalent O(4) atoms to form SbO6 octahedra that share corners with two equivalent Al(1)O6 octahedra, corners with four equivalent Sb(1)O6 octahedra, edges with two equivalent Pb(1)O7 hexagonal pyramids, and edges with four equivalent Pb(2)O7 hexagonal pyramids. The corner-sharing octahedral tilt angles range from 42-45°. The Sb(1)-O(1) bond length is 2.00 Å. The Sb(1)-O(3) bond length is 1.98 Å. Both Sb(1)-O(2) bond lengths are 2.04 Å. Both Sb(1)-O(4) bond lengths are 2.02 Å. There are five inequivalent O sites. In the first O site, O(5) is bonded in a tetrahedral geometry to one Pb(1) and three equivalent Pb(2) atoms. In the second O site, O(1) is bonded in a 2-coordinate geometry to one Al(1), two equivalent Pb(2), and one Sb(1) atom. In the third O site, O(2) is bonded in a 4-coordinate geometry to one Pb(1), one Pb(2), and two equivalent Sb(1) atoms. In the fourth O site, O(3) is bonded in a 2-coordinate geometry to one Al(1), two equivalent Pb(2), and one Sb(1) atom. In the fifth O site, O(4) is bonded in a 4-coordinate geometry to one Pb(1), one Pb(2), and two equivalent Sb(1) atoms.