Mg3V6Cu3Cd2PbO24 crystallizes in the triclinic P1 space group. There are three inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to one O(11), one O(15), one O(17), one O(2), one O(6), and one O(8) atom to form MgO6 octahedra that share  a cornercorner with one V(3)O4 tetrahedra,  a cornercorner with one V(4)O4 tetrahedra,  a cornercorner with one V(5)O4 tetrahedra,  a cornercorner with one V(6)O4 tetrahedra, corners with two equivalent V(2)O4 tetrahedra,  an edgeedge with one Mg(3)O6 octahedra, and  an edgeedge with one Cd(1)O6 pentagonal pyramid. In the second Mg site, Mg(2) is bonded to one O(10), one O(14), one O(20), one O(3), one O(5), and one O(7) atom to form MgO6 octahedra that share  a cornercorner with one V(1)O4 tetrahedra,  a cornercorner with one V(2)O4 tetrahedra,  a cornercorner with one V(5)O4 tetrahedra,  a cornercorner with one V(6)O4 tetrahedra, corners with two equivalent V(3)O4 tetrahedra,  an edgeedge with one Cu(3)O6 octahedra, and  an edgeedge with one Cd(2)O6 pentagonal pyramid. In the third Mg site, Mg(3) is bonded to one O(13), one O(19), one O(4), one O(6), one O(8), and one O(9) atom to form MgO6 octahedra that share  a cornercorner with one V(1)O4 tetrahedra,  a cornercorner with one V(2)O4 tetrahedra,  a cornercorner with one V(5)O4 tetrahedra,  a cornercorner with one V(6)O4 tetrahedra, corners with two equivalent V(4)O4 tetrahedra,  an edgeedge with one Mg(1)O6 octahedra, and  an edgeedge with one Cd(2)O6 pentagonal pyramid. There are six inequivalent V sites. In the first V site, V(1) is bonded to one O(1), one O(13), one O(21), and one O(5) atom to form VO4 tetrahedra that share  a cornercorner with one Mg(2)O6 octahedra,  a cornercorner with one Mg(3)O6 octahedra, corners with two equivalent Cu(3)O6 octahedra,  a cornercorner with one Cd(1)O6 pentagonal pyramid, and  a cornercorner with one Cd(2)O6 pentagonal pyramid. The corner-sharing octahedral tilt angles range from 45-57°. In the second V site, V(2) is bonded to one O(14), one O(2), one O(22), and one O(6) atom to form VO4 tetrahedra that share  a cornercorner with one Mg(2)O6 octahedra,  a cornercorner with one Mg(3)O6 octahedra, corners with two equivalent Mg(1)O6 octahedra,  a cornercorner with one Cd(1)O6 pentagonal pyramid, and  a cornercorner with one Cd(2)O6 pentagonal pyramid. The corner-sharing octahedral tilt angles range from 41-60°. In the third V site, V(3) is bonded to one O(15), one O(23), one O(3), and one O(7) atom to form VO4 tetrahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Cu(3)O6 octahedra, corners with two equivalent Mg(2)O6 octahedra,  a cornercorner with one Cd(1)O6 pentagonal pyramid, and  a cornercorner with one Cd(2)O6 pentagonal pyramid. The corner-sharing octahedral tilt angles range from 41-61°. In the fourth V site, V(4) is bonded to one O(16), one O(24), one O(4), and one O(8) atom to form VO4 tetrahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Cu(3)O6 octahedra, corners with two equivalent Mg(3)O6 octahedra,  a cornercorner with one Cd(1)O6 pentagonal pyramid, and  a cornercorner with one Cd(2)O6 pentagonal pyramid. The corner-sharing octahedral tilt angles range from 42-60°. In the fifth V site, V(5) is bonded to one O(10), one O(17), one O(18), and one O(9) atom to form VO4 tetrahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Mg(2)O6 octahedra,  a cornercorner with one Mg(3)O6 octahedra,  a cornercorner with one Cu(3)O6 octahedra, and corners with two equivalent Cd(1)O6 pentagonal pyramids. The corner-sharing octahedral tilt angles range from 56-58°. In the sixth V site, V(6) is bonded to one O(11), one O(12), one O(19), and one O(20) atom to form VO4 tetrahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Mg(2)O6 octahedra,  a cornercorner with one Mg(3)O6 octahedra,  a cornercorner with one Cu(3)O6 octahedra, and corners with two equivalent Cd(2)O6 pentagonal pyramids. The corner-sharing octahedral tilt angles range from 58-61°. There are three inequivalent Cu sites. In the first Cu site, Cu(1) is bonded in a square co-planar geometry to one O(11), one O(12), one O(23), and one O(24) atom. In the second Cu site, Cu(2) is bonded in a rectangular see-saw-like geometry to one O(10), one O(21), one O(22), and one O(9) atom. In the third Cu site, Cu(3) is bonded to one O(1), one O(12), one O(16), one O(18), one O(5), and one O(7) atom to form CuO6 octahedra that share  a cornercorner with one V(3)O4 tetrahedra,  a cornercorner with one V(4)O4 tetrahedra,  a cornercorner with one V(5)O4 tetrahedra,  a cornercorner with one V(6)O4 tetrahedra, corners with two equivalent V(1)O4 tetrahedra,  an edgeedge with one Mg(2)O6 octahedra, and  an edgeedge with one Cd(1)O6 pentagonal pyramid. There are two inequivalent Cd sites. In the first Cd site, Cd(1) is bonded to one O(1), one O(17), one O(18), one O(2), one O(23), and one O(24) atom to form distorted CdO6 pentagonal pyramids that share  a cornercorner with one V(1)O4 tetrahedra,  a cornercorner with one V(2)O4 tetrahedra,  a cornercorner with one V(3)O4 tetrahedra,  a cornercorner with one V(4)O4 tetrahedra, corners with two equivalent V(5)O4 tetrahedra,  an edgeedge with one Mg(1)O6 octahedra, and  an edgeedge with one Cu(3)O6 octahedra. In the second Cd site, Cd(2) is bonded to one O(19), one O(20), one O(21), one O(22), one O(3), and one O(4) atom to form distorted CdO6 pentagonal pyramids that share  a cornercorner with one V(1)O4 tetrahedra,  a cornercorner with one V(2)O4 tetrahedra,  a cornercorner with one V(3)O4 tetrahedra,  a cornercorner with one V(4)O4 tetrahedra, corners with two equivalent V(6)O4 tetrahedra,  an edgeedge with one Mg(2)O6 octahedra, and  an edgeedge with one Mg(3)O6 octahedra. Pb(1) is bonded in a 4-coordinate geometry to one O(13), one O(14), one O(15), and one O(16) atom. There are twenty-four inequivalent O sites. In the first O site, O(1) is bonded in a distorted trigonal planar geometry to one V(1), one Cu(3), and one Cd(1) atom. In the second O site, O(2) is bonded in a distorted trigonal planar geometry to one Mg(1), one V(2), and one Cd(1) atom. In the third O site, O(3) is bonded in a 3-coordinate geometry to one Mg(2), one V(3), and one Cd(2) atom. In the fourth O site, O(4) is bonded in a 3-coordinate geometry to one Mg(3), one V(4), and one Cd(2) atom. In the fifth O site, O(5) is bonded in a 3-coordinate geometry to one Mg(2), one V(1), and one Cu(3) atom. In the sixth O site, O(6) is bonded in a 3-coordinate geometry to one Mg(1), one Mg(3), and one V(2) atom. In the seventh O site, O(7) is bonded in a 3-coordinate geometry to one Mg(2), one V(3), and one Cu(3) atom. In the eighth O site, O(8) is bonded in a distorted trigonal planar geometry to one Mg(1), one Mg(3), and one V(4) atom. In the ninth O site, O(9) is bonded in a distorted trigonal planar geometry to one Mg(3), one V(5), and one Cu(2) atom. In the tenth O site, O(10) is bonded in a distorted trigonal planar geometry to one Mg(2), one V(5), and one Cu(2) atom. In the eleventh O site, O(11) is bonded in a distorted trigonal planar geometry to one Mg(1), one V(6), and one Cu(1) atom. In the twelfth O site, O(12) is bonded in a distorted T-shaped geometry to one V(6), one Cu(1), and one Cu(3) atom. In the thirteenth O site, O(13) is bonded in a 3-coordinate geometry to one Mg(3), one V(1), and one Pb(1) atom. In the fourteenth O site, O(14) is bonded in a 2-coordinate geometry to one Mg(2), one V(2), and one Pb(1) atom. In the fifteenth O site, O(15) is bonded in a 2-coordinate geometry to one Mg(1), one V(3), and one Pb(1) atom. In the sixteenth O site, O(16) is bonded in a 3-coordinate geometry to one V(4), one Cu(3), and one Pb(1) atom. In the seventeenth O site, O(17) is bonded in a 3-coordinate geometry to one Mg(1), one V(5), and one Cd(1) atom. In the eighteenth O site, O(18) is bonded in a 3-coordinate geometry to one V(5), one Cu(3), and one Cd(1) atom. In the nineteenth O site, O(19) is bonded in a distorted trigonal planar geometry to one Mg(3), one V(6), and one Cd(2) atom. In the twentieth O site, O(20) is bonded in a distorted trigonal planar geometry to one Mg(2), one V(6), and one Cd(2) atom. In the twenty-first O site, O(21) is bonded in a distorted trigonal planar geometry to one V(1), one Cu(2), and one Cd(2) atom. In the twenty-second O site, O(22) is bonded in a 3-coordinate geometry to one V(2), one Cu(2), and one Cd(2) atom. In the twenty-third O site, O(23) is bonded in a 3-coordinate geometry to one V(3), one Cu(1), and one Cd(1) atom. In the twenty-fourth O site, O(24) is bonded in a distorted trigonal planar geometry to one V(4), one Cu(1), and one Cd(1) atom.
Mg3V6Cu3Cd2PbO24 crystallizes in the triclinic P1 space group. There are three inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to one O(11), one O(15), one O(17), one O(2), one O(6), and one O(8) atom to form MgO6 octahedra that share  a cornercorner with one V(3)O4 tetrahedra,  a cornercorner with one V(4)O4 tetrahedra,  a cornercorner with one V(5)O4 tetrahedra,  a cornercorner with one V(6)O4 tetrahedra, corners with two equivalent V(2)O4 tetrahedra,  an edgeedge with one Mg(3)O6 octahedra, and  an edgeedge with one Cd(1)O6 pentagonal pyramid. The Mg(1)-O(11) bond length is 2.11 Å. The Mg(1)-O(15) bond length is 2.08 Å. The Mg(1)-O(17) bond length is 2.13 Å. The Mg(1)-O(2) bond length is 2.11 Å. The Mg(1)-O(6) bond length is 2.21 Å. The Mg(1)-O(8) bond length is 2.15 Å. In the second Mg site, Mg(2) is bonded to one O(10), one O(14), one O(20), one O(3), one O(5), and one O(7) atom to form MgO6 octahedra that share  a cornercorner with one V(1)O4 tetrahedra,  a cornercorner with one V(2)O4 tetrahedra,  a cornercorner with one V(5)O4 tetrahedra,  a cornercorner with one V(6)O4 tetrahedra, corners with two equivalent V(3)O4 tetrahedra,  an edgeedge with one Cu(3)O6 octahedra, and  an edgeedge with one Cd(2)O6 pentagonal pyramid. The Mg(2)-O(10) bond length is 2.10 Å. The Mg(2)-O(14) bond length is 2.08 Å. The Mg(2)-O(20) bond length is 2.10 Å. The Mg(2)-O(3) bond length is 2.17 Å. The Mg(2)-O(5) bond length is 2.12 Å. The Mg(2)-O(7) bond length is 2.17 Å. In the third Mg site, Mg(3) is bonded to one O(13), one O(19), one O(4), one O(6), one O(8), and one O(9) atom to form MgO6 octahedra that share  a cornercorner with one V(1)O4 tetrahedra,  a cornercorner with one V(2)O4 tetrahedra,  a cornercorner with one V(5)O4 tetrahedra,  a cornercorner with one V(6)O4 tetrahedra, corners with two equivalent V(4)O4 tetrahedra,  an edgeedge with one Mg(1)O6 octahedra, and  an edgeedge with one Cd(2)O6 pentagonal pyramid. The Mg(3)-O(13) bond length is 2.07 Å. The Mg(3)-O(19) bond length is 2.11 Å. The Mg(3)-O(4) bond length is 2.19 Å. The Mg(3)-O(6) bond length is 2.18 Å. The Mg(3)-O(8) bond length is 2.15 Å. The Mg(3)-O(9) bond length is 2.11 Å. There are six inequivalent V sites. In the first V site, V(1) is bonded to one O(1), one O(13), one O(21), and one O(5) atom to form VO4 tetrahedra that share  a cornercorner with one Mg(2)O6 octahedra,  a cornercorner with one Mg(3)O6 octahedra, corners with two equivalent Cu(3)O6 octahedra,  a cornercorner with one Cd(1)O6 pentagonal pyramid, and  a cornercorner with one Cd(2)O6 pentagonal pyramid. The corner-sharing octahedral tilt angles range from 45-57°. The V(1)-O(1) bond length is 1.74 Å. The V(1)-O(13) bond length is 1.74 Å. The V(1)-O(21) bond length is 1.78 Å. The V(1)-O(5) bond length is 1.73 Å. In the second V site, V(2) is bonded to one O(14), one O(2), one O(22), and one O(6) atom to form VO4 tetrahedra that share  a cornercorner with one Mg(2)O6 octahedra,  a cornercorner with one Mg(3)O6 octahedra, corners with two equivalent Mg(1)O6 octahedra,  a cornercorner with one Cd(1)O6 pentagonal pyramid, and  a cornercorner with one Cd(2)O6 pentagonal pyramid. The corner-sharing octahedral tilt angles range from 41-60°. The V(2)-O(14) bond length is 1.72 Å. The V(2)-O(2) bond length is 1.75 Å. The V(2)-O(22) bond length is 1.76 Å. The V(2)-O(6) bond length is 1.76 Å. In the third V site, V(3) is bonded to one O(15), one O(23), one O(3), and one O(7) atom to form VO4 tetrahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Cu(3)O6 octahedra, corners with two equivalent Mg(2)O6 octahedra,  a cornercorner with one Cd(1)O6 pentagonal pyramid, and  a cornercorner with one Cd(2)O6 pentagonal pyramid. The corner-sharing octahedral tilt angles range from 41-61°. The V(3)-O(15) bond length is 1.72 Å. The V(3)-O(23) bond length is 1.76 Å. The V(3)-O(3) bond length is 1.75 Å. The V(3)-O(7) bond length is 1.79 Å. In the fourth V site, V(4) is bonded to one O(16), one O(24), one O(4), and one O(8) atom to form VO4 tetrahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Cu(3)O6 octahedra, corners with two equivalent Mg(3)O6 octahedra,  a cornercorner with one Cd(1)O6 pentagonal pyramid, and  a cornercorner with one Cd(2)O6 pentagonal pyramid. The corner-sharing octahedral tilt angles range from 42-60°. The V(4)-O(16) bond length is 1.74 Å. The V(4)-O(24) bond length is 1.76 Å. The V(4)-O(4) bond length is 1.76 Å. The V(4)-O(8) bond length is 1.76 Å. In the fifth V site, V(5) is bonded to one O(10), one O(17), one O(18), and one O(9) atom to form VO4 tetrahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Mg(2)O6 octahedra,  a cornercorner with one Mg(3)O6 octahedra,  a cornercorner with one Cu(3)O6 octahedra, and corners with two equivalent Cd(1)O6 pentagonal pyramids. The corner-sharing octahedral tilt angles range from 56-58°. The V(5)-O(10) bond length is 1.77 Å. The V(5)-O(17) bond length is 1.75 Å. The V(5)-O(18) bond length is 1.74 Å. The V(5)-O(9) bond length is 1.77 Å. In the sixth V site, V(6) is bonded to one O(11), one O(12), one O(19), and one O(20) atom to form VO4 tetrahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Mg(2)O6 octahedra,  a cornercorner with one Mg(3)O6 octahedra,  a cornercorner with one Cu(3)O6 octahedra, and corners with two equivalent Cd(2)O6 pentagonal pyramids. The corner-sharing octahedral tilt angles range from 58-61°. The V(6)-O(11) bond length is 1.77 Å. The V(6)-O(12) bond length is 1.80 Å. The V(6)-O(19) bond length is 1.73 Å. The V(6)-O(20) bond length is 1.73 Å. There are three inequivalent Cu sites. In the first Cu site, Cu(1) is bonded in a square co-planar geometry to one O(11), one O(12), one O(23), and one O(24) atom. The Cu(1)-O(11) bond length is 1.93 Å. The Cu(1)-O(12) bond length is 1.95 Å. The Cu(1)-O(23) bond length is 1.92 Å. The Cu(1)-O(24) bond length is 1.91 Å. In the second Cu site, Cu(2) is bonded in a rectangular see-saw-like geometry to one O(10), one O(21), one O(22), and one O(9) atom. The Cu(2)-O(10) bond length is 1.97 Å. The Cu(2)-O(21) bond length is 1.91 Å. The Cu(2)-O(22) bond length is 1.92 Å. The Cu(2)-O(9) bond length is 1.97 Å. In the third Cu site, Cu(3) is bonded to one O(1), one O(12), one O(16), one O(18), one O(5), and one O(7) atom to form CuO6 octahedra that share  a cornercorner with one V(3)O4 tetrahedra,  a cornercorner with one V(4)O4 tetrahedra,  a cornercorner with one V(5)O4 tetrahedra,  a cornercorner with one V(6)O4 tetrahedra, corners with two equivalent V(1)O4 tetrahedra,  an edgeedge with one Mg(2)O6 octahedra, and  an edgeedge with one Cd(1)O6 pentagonal pyramid. The Cu(3)-O(1) bond length is 2.14 Å. The Cu(3)-O(12) bond length is 1.98 Å. The Cu(3)-O(16) bond length is 2.00 Å. The Cu(3)-O(18) bond length is 2.20 Å. The Cu(3)-O(5) bond length is 2.33 Å. The Cu(3)-O(7) bond length is 2.03 Å. There are two inequivalent Cd sites. In the first Cd site, Cd(1) is bonded to one O(1), one O(17), one O(18), one O(2), one O(23), and one O(24) atom to form distorted CdO6 pentagonal pyramids that share  a cornercorner with one V(1)O4 tetrahedra,  a cornercorner with one V(2)O4 tetrahedra,  a cornercorner with one V(3)O4 tetrahedra,  a cornercorner with one V(4)O4 tetrahedra, corners with two equivalent V(5)O4 tetrahedra,  an edgeedge with one Mg(1)O6 octahedra, and  an edgeedge with one Cu(3)O6 octahedra. The Cd(1)-O(1) bond length is 2.25 Å. The Cd(1)-O(17) bond length is 2.36 Å. The Cd(1)-O(18) bond length is 2.36 Å. The Cd(1)-O(2) bond length is 2.28 Å. The Cd(1)-O(23) bond length is 2.37 Å. The Cd(1)-O(24) bond length is 2.37 Å. In the second Cd site, Cd(2) is bonded to one O(19), one O(20), one O(21), one O(22), one O(3), and one O(4) atom to form distorted CdO6 pentagonal pyramids that share  a cornercorner with one V(1)O4 tetrahedra,  a cornercorner with one V(2)O4 tetrahedra,  a cornercorner with one V(3)O4 tetrahedra,  a cornercorner with one V(4)O4 tetrahedra, corners with two equivalent V(6)O4 tetrahedra,  an edgeedge with one Mg(2)O6 octahedra, and  an edgeedge with one Mg(3)O6 octahedra. The Cd(2)-O(19) bond length is 2.32 Å. The Cd(2)-O(20) bond length is 2.32 Å. The Cd(2)-O(21) bond length is 2.28 Å. The Cd(2)-O(22) bond length is 2.30 Å. The Cd(2)-O(3) bond length is 2.33 Å. The Cd(2)-O(4) bond length is 2.33 Å. Pb(1) is bonded in a 4-coordinate geometry to one O(13), one O(14), one O(15), and one O(16) atom. The Pb(1)-O(13) bond length is 2.53 Å. The Pb(1)-O(14) bond length is 2.68 Å. The Pb(1)-O(15) bond length is 2.66 Å. The Pb(1)-O(16) bond length is 2.58 Å. There are twenty-four inequivalent O sites. In the first O site, O(1) is bonded in a distorted trigonal planar geometry to one V(1), one Cu(3), and one Cd(1) atom. In the second O site, O(2) is bonded in a distorted trigonal planar geometry to one Mg(1), one V(2), and one Cd(1) atom. In the third O site, O(3) is bonded in a 3-coordinate geometry to one Mg(2), one V(3), and one Cd(2) atom. In the fourth O site, O(4) is bonded in a 3-coordinate geometry to one Mg(3), one V(4), and one Cd(2) atom. In the fifth O site, O(5) is bonded in a 3-coordinate geometry to one Mg(2), one V(1), and one Cu(3) atom. In the sixth O site, O(6) is bonded in a 3-coordinate geometry to one Mg(1), one Mg(3), and one V(2) atom. In the seventh O site, O(7) is bonded in a 3-coordinate geometry to one Mg(2), one V(3), and one Cu(3) atom. In the eighth O site, O(8) is bonded in a distorted trigonal planar geometry to one Mg(1), one Mg(3), and one V(4) atom. In the ninth O site, O(9) is bonded in a distorted trigonal planar geometry to one Mg(3), one V(5), and one Cu(2) atom. In the tenth O site, O(10) is bonded in a distorted trigonal planar geometry to one Mg(2), one V(5), and one Cu(2) atom. In the eleventh O site, O(11) is bonded in a distorted trigonal planar geometry to one Mg(1), one V(6), and one Cu(1) atom. In the twelfth O site, O(12) is bonded in a distorted T-shaped geometry to one V(6), one Cu(1), and one Cu(3) atom. In the thirteenth O site, O(13) is bonded in a 3-coordinate geometry to one Mg(3), one V(1), and one Pb(1) atom. In the fourteenth O site, O(14) is bonded in a 2-coordinate geometry to one Mg(2), one V(2), and one Pb(1) atom. In the fifteenth O site, O(15) is bonded in a 2-coordinate geometry to one Mg(1), one V(3), and one Pb(1) atom. In the sixteenth O site, O(16) is bonded in a 3-coordinate geometry to one V(4), one Cu(3), and one Pb(1) atom. In the seventeenth O site, O(17) is bonded in a 3-coordinate geometry to one Mg(1), one V(5), and one Cd(1) atom. In the eighteenth O site, O(18) is bonded in a 3-coordinate geometry to one V(5), one Cu(3), and one Cd(1) atom. In the nineteenth O site, O(19) is bonded in a distorted trigonal planar geometry to one Mg(3), one V(6), and one Cd(2) atom. In the twentieth O site, O(20) is bonded in a distorted trigonal planar geometry to one Mg(2), one V(6), and one Cd(2) atom. In the twenty-first O site, O(21) is bonded in a distorted trigonal planar geometry to one V(1), one Cu(2), and one Cd(2) atom. In the twenty-second O site, O(22) is bonded in a 3-coordinate geometry to one V(2), one Cu(2), and one Cd(2) atom. In the twenty-third O site, O(23) is bonded in a 3-coordinate geometry to one V(3), one Cu(1), and one Cd(1) atom. In the twenty-fourth O site, O(24) is bonded in a distorted trigonal planar geometry to one V(4), one Cu(1), and one Cd(1) atom.