MgV12Zn6O24 crystallizes in the triclinic P1 space group. Mg(1) is bonded to one O(1), one O(17), one O(21), one O(23), one O(3), and one O(8) atom to form MgO6 octahedra that share corners with two equivalent V(2)O6 octahedra, corners with two equivalent V(4)O6 octahedra, corners with two equivalent V(7)O6 octahedra, corners with two equivalent V(9)O6 octahedra, edges with two equivalent V(12)O6 octahedra, edges with two equivalent Zn(3)O6 octahedra,  a faceface with one V(1)O6 octahedra, and  a faceface with one V(11)O6 octahedra. The corner-sharing octahedral tilt angles range from 40-48°. There are twelve inequivalent V sites. In the first V site, V(1) is bonded to one O(1), one O(11), one O(2), one O(3), one O(7), and one O(8) atom to form VO6 octahedra that share corners with two equivalent V(12)O6 octahedra, corners with two equivalent Zn(3)O6 octahedra,  a cornercorner with one Zn(2)O4 tetrahedra, corners with two equivalent Zn(5)O4 tetrahedra,  an edgeedge with one V(5)O6 octahedra, edges with two equivalent V(2)O6 octahedra, edges with two equivalent V(4)O6 octahedra, and  a faceface with one Mg(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 38-47°. In the second V site, V(2) is bonded to one O(2), one O(3), one O(4), one O(5), one O(7), and one O(8) atom to form VO6 octahedra that share corners with two equivalent Mg(1)O6 octahedra, corners with two equivalent V(12)O6 octahedra,  a cornercorner with one Zn(2)O4 tetrahedra, corners with two equivalent Zn(5)O4 tetrahedra,  an edgeedge with one V(5)O6 octahedra, edges with two equivalent V(1)O6 octahedra, edges with two equivalent V(4)O6 octahedra, and  a faceface with one Zn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 40-46°. In the third V site, V(3) is bonded to one O(10), one O(15), one O(16), one O(19), one O(6), and one O(9) atom to form VO6 octahedra that share  a cornercorner with one Zn(4)O4 tetrahedra,  a cornercorner with one Zn(5)O4 tetrahedra, corners with two equivalent Zn(2)O4 tetrahedra, corners with two equivalent Zn(6)O4 tetrahedra,  an edgeedge with one V(10)O6 octahedra,  an edgeedge with one V(5)O6 octahedra, edges with two equivalent V(6)O6 octahedra, and edges with two equivalent V(8)O6 octahedra. In the fourth V site, V(4) is bonded to one O(1), one O(11), one O(2), one O(4), one O(5), and one O(8) atom to form VO6 octahedra that share corners with two equivalent Mg(1)O6 octahedra, corners with two equivalent Zn(3)O6 octahedra,  a cornercorner with one Zn(2)O4 tetrahedra, corners with two equivalent Zn(5)O4 tetrahedra,  an edgeedge with one V(5)O6 octahedra, edges with two equivalent V(1)O6 octahedra, edges with two equivalent V(2)O6 octahedra, and  a faceface with one V(12)O6 octahedra. The corner-sharing octahedral tilt angles range from 40-49°. In the fifth V site, V(5) is bonded to one O(11), one O(12), one O(5), one O(6), one O(7), and one O(9) atom to form VO6 octahedra that share corners with three equivalent Zn(2)O4 tetrahedra, corners with three equivalent Zn(5)O4 tetrahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one V(2)O6 octahedra,  an edgeedge with one V(3)O6 octahedra,  an edgeedge with one V(4)O6 octahedra,  an edgeedge with one V(6)O6 octahedra, and  an edgeedge with one V(8)O6 octahedra. In the sixth V site, V(6) is bonded to one O(10), one O(12), one O(13), one O(15), one O(16), and one O(9) atom to form VO6 octahedra that share  a cornercorner with one Zn(4)O4 tetrahedra,  a cornercorner with one Zn(5)O4 tetrahedra, corners with two equivalent Zn(2)O4 tetrahedra, corners with two equivalent Zn(6)O4 tetrahedra,  an edgeedge with one V(10)O6 octahedra,  an edgeedge with one V(5)O6 octahedra, edges with two equivalent V(3)O6 octahedra, and edges with two equivalent V(8)O6 octahedra. In the seventh V site, V(7) is bonded to one O(14), one O(17), one O(18), one O(22), one O(23), and one O(24) atom to form VO6 octahedra that share corners with two equivalent Mg(1)O6 octahedra, corners with two equivalent V(12)O6 octahedra,  a cornercorner with one Zn(6)O4 tetrahedra, corners with two equivalent Zn(4)O4 tetrahedra,  an edgeedge with one V(10)O6 octahedra, edges with two equivalent V(11)O6 octahedra, edges with two equivalent V(9)O6 octahedra, and  a faceface with one Zn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 44-53°. In the eighth V site, V(8) is bonded to one O(10), one O(12), one O(13), one O(16), one O(19), and one O(6) atom to form VO6 octahedra that share  a cornercorner with one Zn(4)O4 tetrahedra,  a cornercorner with one Zn(5)O4 tetrahedra, corners with two equivalent Zn(2)O4 tetrahedra, corners with two equivalent Zn(6)O4 tetrahedra,  an edgeedge with one V(10)O6 octahedra,  an edgeedge with one V(5)O6 octahedra, edges with two equivalent V(3)O6 octahedra, and edges with two equivalent V(6)O6 octahedra. In the ninth V site, V(9) is bonded to one O(14), one O(17), one O(20), one O(21), one O(22), and one O(24) atom to form VO6 octahedra that share corners with two equivalent Mg(1)O6 octahedra, corners with two equivalent V(12)O6 octahedra, corners with two equivalent Zn(3)O6 octahedra,  a cornercorner with one Zn(6)O4 tetrahedra, corners with two equivalent Zn(4)O4 tetrahedra,  an edgeedge with one V(10)O6 octahedra, edges with two equivalent V(11)O6 octahedra, and edges with two equivalent V(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 46-54°. In the tenth V site, V(10) is bonded to one O(13), one O(14), one O(15), one O(18), one O(19), and one O(20) atom to form VO6 octahedra that share corners with three equivalent Zn(4)O4 tetrahedra, corners with three equivalent Zn(6)O4 tetrahedra,  an edgeedge with one V(11)O6 octahedra,  an edgeedge with one V(3)O6 octahedra,  an edgeedge with one V(6)O6 octahedra,  an edgeedge with one V(7)O6 octahedra,  an edgeedge with one V(8)O6 octahedra, and  an edgeedge with one V(9)O6 octahedra. In the eleventh V site, V(11) is bonded to one O(17), one O(18), one O(20), one O(21), one O(22), and one O(23) atom to form VO6 octahedra that share corners with two equivalent V(12)O6 octahedra, corners with two equivalent Zn(3)O6 octahedra,  a cornercorner with one Zn(6)O4 tetrahedra, corners with two equivalent Zn(4)O4 tetrahedra,  an edgeedge with one V(10)O6 octahedra, edges with two equivalent V(7)O6 octahedra, edges with two equivalent V(9)O6 octahedra, and  a faceface with one Mg(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 45-51°. In the twelfth V site, V(12) is bonded to one O(1), one O(21), one O(23), one O(24), one O(4), and one O(8) atom to form distorted VO6 octahedra that share corners with two equivalent V(1)O6 octahedra, corners with two equivalent V(11)O6 octahedra, corners with two equivalent V(2)O6 octahedra, corners with two equivalent V(7)O6 octahedra, corners with two equivalent V(9)O6 octahedra, edges with two equivalent Mg(1)O6 octahedra, edges with two equivalent Zn(3)O6 octahedra, and  a faceface with one V(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 38-54°. There are six inequivalent Zn sites. In the first Zn site, Zn(1) is bonded in a distorted trigonal non-coplanar geometry to one O(1), one O(3), and one O(4) atom. In the second Zn site, Zn(2) is bonded to one O(12), one O(2), one O(6), and one O(9) atom to form ZnO4 tetrahedra that share  a cornercorner with one V(1)O6 octahedra,  a cornercorner with one V(2)O6 octahedra,  a cornercorner with one V(4)O6 octahedra, corners with two equivalent V(3)O6 octahedra, corners with two equivalent V(6)O6 octahedra, corners with two equivalent V(8)O6 octahedra, and corners with three equivalent V(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-61°. In the third Zn site, Zn(3) is bonded to one O(17), one O(23), one O(24), one O(3), one O(4), and one O(8) atom to form ZnO6 octahedra that share corners with two equivalent V(1)O6 octahedra, corners with two equivalent V(11)O6 octahedra, corners with two equivalent V(4)O6 octahedra, corners with two equivalent V(9)O6 octahedra, edges with two equivalent Mg(1)O6 octahedra, edges with two equivalent V(12)O6 octahedra,  a faceface with one V(2)O6 octahedra, and  a faceface with one V(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 40-54°. In the fourth Zn site, Zn(4) is bonded to one O(10), one O(14), one O(18), and one O(20) atom to form ZnO4 tetrahedra that share  a cornercorner with one V(3)O6 octahedra,  a cornercorner with one V(6)O6 octahedra,  a cornercorner with one V(8)O6 octahedra, corners with two equivalent V(11)O6 octahedra, corners with two equivalent V(7)O6 octahedra, corners with two equivalent V(9)O6 octahedra, and corners with three equivalent V(10)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-63°. In the fifth Zn site, Zn(5) is bonded to one O(11), one O(16), one O(5), and one O(7) atom to form ZnO4 tetrahedra that share  a cornercorner with one V(3)O6 octahedra,  a cornercorner with one V(6)O6 octahedra,  a cornercorner with one V(8)O6 octahedra, corners with two equivalent V(1)O6 octahedra, corners with two equivalent V(2)O6 octahedra, corners with two equivalent V(4)O6 octahedra, and corners with three equivalent V(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-61°. In the sixth Zn site, Zn(6) is bonded to one O(13), one O(15), one O(19), and one O(22) atom to form ZnO4 tetrahedra that share  a cornercorner with one V(11)O6 octahedra,  a cornercorner with one V(7)O6 octahedra,  a cornercorner with one V(9)O6 octahedra, corners with two equivalent V(3)O6 octahedra, corners with two equivalent V(6)O6 octahedra, corners with two equivalent V(8)O6 octahedra, and corners with three equivalent V(10)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-62°. There are twenty-four inequivalent O sites. In the first O site, O(1) is bonded to one Mg(1), one V(1), one V(12), one V(4), and one Zn(1) atom to form distorted OMgV3Zn trigonal bipyramids that share  a cornercorner with one O(3)MgV2Zn2 trigonal bipyramid,  a cornercorner with one O(17)MgV3Zn trigonal bipyramid,  a cornercorner with one O(4)V3Zn2 trigonal bipyramid, corners with two equivalent O(11)V3Zn trigonal pyramids,  an edgeedge with one O(3)MgV2Zn2 trigonal bipyramid,  an edgeedge with one O(23)MgV3Zn trigonal bipyramid, and  an edgeedge with one O(4)V3Zn2 trigonal bipyramid. In the second O site, O(2) is bonded in a rectangular see-saw-like geometry to one V(1), one V(2), one V(4), and one Zn(2) atom. In the third O site, O(3) is bonded to one Mg(1), one V(1), one V(2), one Zn(1), and one Zn(3) atom to form distorted OMgV2Zn2 trigonal bipyramids that share  a cornercorner with one O(1)MgV3Zn trigonal bipyramid,  a cornercorner with one O(4)V3Zn2 trigonal bipyramid, corners with two equivalent O(17)MgV3Zn trigonal bipyramids,  a cornercorner with one O(11)V3Zn trigonal pyramid,  an edgeedge with one O(1)MgV3Zn trigonal bipyramid,  an edgeedge with one O(23)MgV3Zn trigonal bipyramid, and  an edgeedge with one O(4)V3Zn2 trigonal bipyramid. In the fourth O site, O(4) is bonded to one V(12), one V(2), one V(4), one Zn(1), and one Zn(3) atom to form distorted OV3Zn2 trigonal bipyramids that share  a cornercorner with one O(3)MgV2Zn2 trigonal bipyramid,  a cornercorner with one O(1)MgV3Zn trigonal bipyramid,  a cornercorner with one O(17)MgV3Zn trigonal bipyramid,  a cornercorner with one O(11)V3Zn trigonal pyramid,  an edgeedge with one O(3)MgV2Zn2 trigonal bipyramid,  an edgeedge with one O(1)MgV3Zn trigonal bipyramid, and  an edgeedge with one O(23)MgV3Zn trigonal bipyramid. In the fifth O site, O(5) is bonded in a rectangular see-saw-like geometry to one V(2), one V(4), one V(5), and one Zn(5) atom. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to one V(3), one V(5), one V(8), and one Zn(2) atom. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one V(1), one V(2), one V(5), and one Zn(5) atom. In the eighth O site, O(8) is bonded in a 6-coordinate geometry to one Mg(1), one V(1), one V(12), one V(2), one V(4), and one Zn(3) atom. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one V(3), one V(5), one V(6), and one Zn(2) atom. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to one V(3), one V(6), one V(8), and one Zn(4) atom. In the eleventh O site, O(11) is bonded to one V(1), one V(4), one V(5), and one Zn(5) atom to form distorted OV3Zn trigonal pyramids that share  a cornercorner with one O(3)MgV2Zn2 trigonal bipyramid,  a cornercorner with one O(4)V3Zn2 trigonal bipyramid, corners with two equivalent O(1)MgV3Zn trigonal bipyramids, and  a cornercorner with one O(12)V3Zn trigonal pyramid. In the twelfth O site, O(12) is bonded to one V(5), one V(6), one V(8), and one Zn(2) atom to form distorted corner-sharing OV3Zn trigonal pyramids. In the thirteenth O site, O(13) is bonded in a rectangular see-saw-like geometry to one V(10), one V(6), one V(8), and one Zn(6) atom. In the fourteenth O site, O(14) is bonded in a rectangular see-saw-like geometry to one V(10), one V(7), one V(9), and one Zn(4) atom. In the fifteenth O site, O(15) is bonded to one V(10), one V(3), one V(6), and one Zn(6) atom to form a mixture of distorted corner and edge-sharing OV3Zn trigonal pyramids. In the sixteenth O site, O(16) is bonded in a rectangular see-saw-like geometry to one V(3), one V(6), one V(8), and one Zn(5) atom. In the seventeenth O site, O(17) is bonded to one Mg(1), one V(11), one V(7), one V(9), and one Zn(3) atom to form distorted OMgV3Zn trigonal bipyramids that share  a cornercorner with one O(1)MgV3Zn trigonal bipyramid,  a cornercorner with one O(4)V3Zn2 trigonal bipyramid, corners with two equivalent O(3)MgV2Zn2 trigonal bipyramids, edges with two equivalent O(23)MgV3Zn trigonal bipyramids, and  an edgeedge with one O(20)V3Zn trigonal pyramid. In the eighteenth O site, O(18) is bonded in a rectangular see-saw-like geometry to one V(10), one V(11), one V(7), and one Zn(4) atom. In the nineteenth O site, O(19) is bonded to one V(10), one V(3), one V(8), and one Zn(6) atom to form a mixture of distorted corner and edge-sharing OV3Zn trigonal pyramids. In the twentieth O site, O(20) is bonded to one V(10), one V(11), one V(9), and one Zn(4) atom to form distorted OV3Zn trigonal pyramids that share  a cornercorner with one O(23)MgV3Zn trigonal bipyramid,  a cornercorner with one O(15)V3Zn trigonal pyramid,  a cornercorner with one O(19)V3Zn trigonal pyramid, and  an edgeedge with one O(17)MgV3Zn trigonal bipyramid. In the twenty-first O site, O(21) is bonded in a 4-coordinate geometry to one Mg(1), one V(11), one V(12), and one V(9) atom. In the twenty-second O site, O(22) is bonded in a rectangular see-saw-like geometry to one V(11), one V(7), one V(9), and one Zn(6) atom. In the twenty-third O site, O(23) is bonded to one Mg(1), one V(11), one V(12), one V(7), and one Zn(3) atom to form distorted OMgV3Zn trigonal bipyramids that share  a cornercorner with one O(20)V3Zn trigonal pyramid,  an edgeedge with one O(3)MgV2Zn2 trigonal bipyramid,  an edgeedge with one O(1)MgV3Zn trigonal bipyramid,  an edgeedge with one O(4)V3Zn2 trigonal bipyramid, and edges with two equivalent O(17)MgV3Zn trigonal bipyramids. In the twenty-fourth O site, O(24) is bonded in a distorted rectangular see-saw-like geometry to one V(12), one V(7), one V(9), and one Zn(3) atom.
MgV12Zn6O24 crystallizes in the triclinic P1 space group. Mg(1) is bonded to one O(1), one O(17), one O(21), one O(23), one O(3), and one O(8) atom to form MgO6 octahedra that share corners with two equivalent V(2)O6 octahedra, corners with two equivalent V(4)O6 octahedra, corners with two equivalent V(7)O6 octahedra, corners with two equivalent V(9)O6 octahedra, edges with two equivalent V(12)O6 octahedra, edges with two equivalent Zn(3)O6 octahedra,  a faceface with one V(1)O6 octahedra, and  a faceface with one V(11)O6 octahedra. The corner-sharing octahedral tilt angles range from 40-48°. The Mg(1)-O(1) bond length is 2.13 Å. The Mg(1)-O(17) bond length is 2.12 Å. The Mg(1)-O(21) bond length is 2.11 Å. The Mg(1)-O(23) bond length is 2.08 Å. The Mg(1)-O(3) bond length is 2.11 Å. The Mg(1)-O(8) bond length is 2.18 Å. There are twelve inequivalent V sites. In the first V site, V(1) is bonded to one O(1), one O(11), one O(2), one O(3), one O(7), and one O(8) atom to form VO6 octahedra that share corners with two equivalent V(12)O6 octahedra, corners with two equivalent Zn(3)O6 octahedra,  a cornercorner with one Zn(2)O4 tetrahedra, corners with two equivalent Zn(5)O4 tetrahedra,  an edgeedge with one V(5)O6 octahedra, edges with two equivalent V(2)O6 octahedra, edges with two equivalent V(4)O6 octahedra, and  a faceface with one Mg(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 38-47°. The V(1)-O(1) bond length is 2.23 Å. The V(1)-O(11) bond length is 2.09 Å. The V(1)-O(2) bond length is 2.08 Å. The V(1)-O(3) bond length is 2.15 Å. The V(1)-O(7) bond length is 2.09 Å. The V(1)-O(8) bond length is 2.23 Å. In the second V site, V(2) is bonded to one O(2), one O(3), one O(4), one O(5), one O(7), and one O(8) atom to form VO6 octahedra that share corners with two equivalent Mg(1)O6 octahedra, corners with two equivalent V(12)O6 octahedra,  a cornercorner with one Zn(2)O4 tetrahedra, corners with two equivalent Zn(5)O4 tetrahedra,  an edgeedge with one V(5)O6 octahedra, edges with two equivalent V(1)O6 octahedra, edges with two equivalent V(4)O6 octahedra, and  a faceface with one Zn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 40-46°. The V(2)-O(2) bond length is 1.99 Å. The V(2)-O(3) bond length is 2.07 Å. The V(2)-O(4) bond length is 2.22 Å. The V(2)-O(5) bond length is 2.03 Å. The V(2)-O(7) bond length is 2.01 Å. The V(2)-O(8) bond length is 2.28 Å. In the third V site, V(3) is bonded to one O(10), one O(15), one O(16), one O(19), one O(6), and one O(9) atom to form VO6 octahedra that share  a cornercorner with one Zn(4)O4 tetrahedra,  a cornercorner with one Zn(5)O4 tetrahedra, corners with two equivalent Zn(2)O4 tetrahedra, corners with two equivalent Zn(6)O4 tetrahedra,  an edgeedge with one V(10)O6 octahedra,  an edgeedge with one V(5)O6 octahedra, edges with two equivalent V(6)O6 octahedra, and edges with two equivalent V(8)O6 octahedra. The V(3)-O(10) bond length is 2.03 Å. The V(3)-O(15) bond length is 2.03 Å. The V(3)-O(16) bond length is 2.04 Å. The V(3)-O(19) bond length is 2.09 Å. The V(3)-O(6) bond length is 2.10 Å. The V(3)-O(9) bond length is 2.04 Å. In the fourth V site, V(4) is bonded to one O(1), one O(11), one O(2), one O(4), one O(5), and one O(8) atom to form VO6 octahedra that share corners with two equivalent Mg(1)O6 octahedra, corners with two equivalent Zn(3)O6 octahedra,  a cornercorner with one Zn(2)O4 tetrahedra, corners with two equivalent Zn(5)O4 tetrahedra,  an edgeedge with one V(5)O6 octahedra, edges with two equivalent V(1)O6 octahedra, edges with two equivalent V(2)O6 octahedra, and  a faceface with one V(12)O6 octahedra. The corner-sharing octahedral tilt angles range from 40-49°. The V(4)-O(1) bond length is 2.11 Å. The V(4)-O(11) bond length is 2.02 Å. The V(4)-O(2) bond length is 2.01 Å. The V(4)-O(4) bond length is 2.17 Å. The V(4)-O(5) bond length is 2.05 Å. The V(4)-O(8) bond length is 2.17 Å. In the fifth V site, V(5) is bonded to one O(11), one O(12), one O(5), one O(6), one O(7), and one O(9) atom to form VO6 octahedra that share corners with three equivalent Zn(2)O4 tetrahedra, corners with three equivalent Zn(5)O4 tetrahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one V(2)O6 octahedra,  an edgeedge with one V(3)O6 octahedra,  an edgeedge with one V(4)O6 octahedra,  an edgeedge with one V(6)O6 octahedra, and  an edgeedge with one V(8)O6 octahedra. The V(5)-O(11) bond length is 2.05 Å. The V(5)-O(12) bond length is 2.09 Å. The V(5)-O(5) bond length is 2.09 Å. The V(5)-O(6) bond length is 2.04 Å. The V(5)-O(7) bond length is 2.07 Å. The V(5)-O(9) bond length is 2.03 Å. In the sixth V site, V(6) is bonded to one O(10), one O(12), one O(13), one O(15), one O(16), and one O(9) atom to form VO6 octahedra that share  a cornercorner with one Zn(4)O4 tetrahedra,  a cornercorner with one Zn(5)O4 tetrahedra, corners with two equivalent Zn(2)O4 tetrahedra, corners with two equivalent Zn(6)O4 tetrahedra,  an edgeedge with one V(10)O6 octahedra,  an edgeedge with one V(5)O6 octahedra, edges with two equivalent V(3)O6 octahedra, and edges with two equivalent V(8)O6 octahedra. The V(6)-O(10) bond length is 2.05 Å. The V(6)-O(12) bond length is 2.05 Å. The V(6)-O(13) bond length is 2.04 Å. The V(6)-O(15) bond length is 2.07 Å. The V(6)-O(16) bond length is 2.06 Å. The V(6)-O(9) bond length is 2.08 Å. In the seventh V site, V(7) is bonded to one O(14), one O(17), one O(18), one O(22), one O(23), and one O(24) atom to form VO6 octahedra that share corners with two equivalent Mg(1)O6 octahedra, corners with two equivalent V(12)O6 octahedra,  a cornercorner with one Zn(6)O4 tetrahedra, corners with two equivalent Zn(4)O4 tetrahedra,  an edgeedge with one V(10)O6 octahedra, edges with two equivalent V(11)O6 octahedra, edges with two equivalent V(9)O6 octahedra, and  a faceface with one Zn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 44-53°. The V(7)-O(14) bond length is 2.10 Å. The V(7)-O(17) bond length is 2.19 Å. The V(7)-O(18) bond length is 2.10 Å. The V(7)-O(22) bond length is 2.09 Å. The V(7)-O(23) bond length is 2.22 Å. The V(7)-O(24) bond length is 2.22 Å. In the eighth V site, V(8) is bonded to one O(10), one O(12), one O(13), one O(16), one O(19), and one O(6) atom to form VO6 octahedra that share  a cornercorner with one Zn(4)O4 tetrahedra,  a cornercorner with one Zn(5)O4 tetrahedra, corners with two equivalent Zn(2)O4 tetrahedra, corners with two equivalent Zn(6)O4 tetrahedra,  an edgeedge with one V(10)O6 octahedra,  an edgeedge with one V(5)O6 octahedra, edges with two equivalent V(3)O6 octahedra, and edges with two equivalent V(6)O6 octahedra. The V(8)-O(10) bond length is 2.09 Å. The V(8)-O(12) bond length is 2.06 Å. The V(8)-O(13) bond length is 2.05 Å. The V(8)-O(16) bond length is 2.09 Å. The V(8)-O(19) bond length is 2.02 Å. The V(8)-O(6) bond length is 2.04 Å. In the ninth V site, V(9) is bonded to one O(14), one O(17), one O(20), one O(21), one O(22), and one O(24) atom to form VO6 octahedra that share corners with two equivalent Mg(1)O6 octahedra, corners with two equivalent V(12)O6 octahedra, corners with two equivalent Zn(3)O6 octahedra,  a cornercorner with one Zn(6)O4 tetrahedra, corners with two equivalent Zn(4)O4 tetrahedra,  an edgeedge with one V(10)O6 octahedra, edges with two equivalent V(11)O6 octahedra, and edges with two equivalent V(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 46-54°. The V(9)-O(14) bond length is 2.05 Å. The V(9)-O(17) bond length is 2.10 Å. The V(9)-O(20) bond length is 2.09 Å. The V(9)-O(21) bond length is 2.18 Å. The V(9)-O(22) bond length is 2.05 Å. The V(9)-O(24) bond length is 2.09 Å. In the tenth V site, V(10) is bonded to one O(13), one O(14), one O(15), one O(18), one O(19), and one O(20) atom to form VO6 octahedra that share corners with three equivalent Zn(4)O4 tetrahedra, corners with three equivalent Zn(6)O4 tetrahedra,  an edgeedge with one V(11)O6 octahedra,  an edgeedge with one V(3)O6 octahedra,  an edgeedge with one V(6)O6 octahedra,  an edgeedge with one V(7)O6 octahedra,  an edgeedge with one V(8)O6 octahedra, and  an edgeedge with one V(9)O6 octahedra. The V(10)-O(13) bond length is 2.12 Å. The V(10)-O(14) bond length is 2.03 Å. The V(10)-O(15) bond length is 2.05 Å. The V(10)-O(18) bond length is 2.03 Å. The V(10)-O(19) bond length is 2.06 Å. The V(10)-O(20) bond length is 2.09 Å. In the eleventh V site, V(11) is bonded to one O(17), one O(18), one O(20), one O(21), one O(22), and one O(23) atom to form VO6 octahedra that share corners with two equivalent V(12)O6 octahedra, corners with two equivalent Zn(3)O6 octahedra,  a cornercorner with one Zn(6)O4 tetrahedra, corners with two equivalent Zn(4)O4 tetrahedra,  an edgeedge with one V(10)O6 octahedra, edges with two equivalent V(7)O6 octahedra, edges with two equivalent V(9)O6 octahedra, and  a faceface with one Mg(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 45-51°. The V(11)-O(17) bond length is 2.13 Å. The V(11)-O(18) bond length is 2.01 Å. The V(11)-O(20) bond length is 2.02 Å. The V(11)-O(21) bond length is 2.23 Å. The V(11)-O(22) bond length is 1.97 Å. The V(11)-O(23) bond length is 2.13 Å. In the twelfth V site, V(12) is bonded to one O(1), one O(21), one O(23), one O(24), one O(4), and one O(8) atom to form distorted VO6 octahedra that share corners with two equivalent V(1)O6 octahedra, corners with two equivalent V(11)O6 octahedra, corners with two equivalent V(2)O6 octahedra, corners with two equivalent V(7)O6 octahedra, corners with two equivalent V(9)O6 octahedra, edges with two equivalent Mg(1)O6 octahedra, edges with two equivalent Zn(3)O6 octahedra, and  a faceface with one V(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 38-54°. The V(12)-O(1) bond length is 2.19 Å. The V(12)-O(21) bond length is 1.96 Å. The V(12)-O(23) bond length is 2.06 Å. The V(12)-O(24) bond length is 1.97 Å. The V(12)-O(4) bond length is 2.20 Å. The V(12)-O(8) bond length is 2.45 Å. There are six inequivalent Zn sites. In the first Zn site, Zn(1) is bonded in a distorted trigonal non-coplanar geometry to one O(1), one O(3), and one O(4) atom. The Zn(1)-O(1) bond length is 1.96 Å. The Zn(1)-O(3) bond length is 1.95 Å. The Zn(1)-O(4) bond length is 1.95 Å. In the second Zn site, Zn(2) is bonded to one O(12), one O(2), one O(6), and one O(9) atom to form ZnO4 tetrahedra that share  a cornercorner with one V(1)O6 octahedra,  a cornercorner with one V(2)O6 octahedra,  a cornercorner with one V(4)O6 octahedra, corners with two equivalent V(3)O6 octahedra, corners with two equivalent V(6)O6 octahedra, corners with two equivalent V(8)O6 octahedra, and corners with three equivalent V(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-61°. The Zn(2)-O(12) bond length is 1.99 Å. The Zn(2)-O(2) bond length is 2.03 Å. The Zn(2)-O(6) bond length is 2.00 Å. The Zn(2)-O(9) bond length is 2.00 Å. In the third Zn site, Zn(3) is bonded to one O(17), one O(23), one O(24), one O(3), one O(4), and one O(8) atom to form ZnO6 octahedra that share corners with two equivalent V(1)O6 octahedra, corners with two equivalent V(11)O6 octahedra, corners with two equivalent V(4)O6 octahedra, corners with two equivalent V(9)O6 octahedra, edges with two equivalent Mg(1)O6 octahedra, edges with two equivalent V(12)O6 octahedra,  a faceface with one V(2)O6 octahedra, and  a faceface with one V(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 40-54°. The Zn(3)-O(17) bond length is 2.22 Å. The Zn(3)-O(23) bond length is 2.12 Å. The Zn(3)-O(24) bond length is 2.14 Å. The Zn(3)-O(3) bond length is 2.14 Å. The Zn(3)-O(4) bond length is 2.17 Å. The Zn(3)-O(8) bond length is 2.16 Å. In the fourth Zn site, Zn(4) is bonded to one O(10), one O(14), one O(18), and one O(20) atom to form ZnO4 tetrahedra that share  a cornercorner with one V(3)O6 octahedra,  a cornercorner with one V(6)O6 octahedra,  a cornercorner with one V(8)O6 octahedra, corners with two equivalent V(11)O6 octahedra, corners with two equivalent V(7)O6 octahedra, corners with two equivalent V(9)O6 octahedra, and corners with three equivalent V(10)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-63°. The Zn(4)-O(10) bond length is 2.03 Å. The Zn(4)-O(14) bond length is 2.01 Å. The Zn(4)-O(18) bond length is 2.00 Å. The Zn(4)-O(20) bond length is 1.99 Å. In the fifth Zn site, Zn(5) is bonded to one O(11), one O(16), one O(5), and one O(7) atom to form ZnO4 tetrahedra that share  a cornercorner with one V(3)O6 octahedra,  a cornercorner with one V(6)O6 octahedra,  a cornercorner with one V(8)O6 octahedra, corners with two equivalent V(1)O6 octahedra, corners with two equivalent V(2)O6 octahedra, corners with two equivalent V(4)O6 octahedra, and corners with three equivalent V(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-61°. The Zn(5)-O(11) bond length is 2.02 Å. The Zn(5)-O(16) bond length is 1.99 Å. The Zn(5)-O(5) bond length is 2.01 Å. The Zn(5)-O(7) bond length is 2.01 Å. In the sixth Zn site, Zn(6) is bonded to one O(13), one O(15), one O(19), and one O(22) atom to form ZnO4 tetrahedra that share  a cornercorner with one V(11)O6 octahedra,  a cornercorner with one V(7)O6 octahedra,  a cornercorner with one V(9)O6 octahedra, corners with two equivalent V(3)O6 octahedra, corners with two equivalent V(6)O6 octahedra, corners with two equivalent V(8)O6 octahedra, and corners with three equivalent V(10)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-62°. The Zn(6)-O(13) bond length is 2.01 Å. The Zn(6)-O(15) bond length is 2.00 Å. The Zn(6)-O(19) bond length is 2.02 Å. The Zn(6)-O(22) bond length is 2.02 Å. There are twenty-four inequivalent O sites. In the first O site, O(1) is bonded to one Mg(1), one V(1), one V(12), one V(4), and one Zn(1) atom to form distorted OMgV3Zn trigonal bipyramids that share  a cornercorner with one O(3)MgV2Zn2 trigonal bipyramid,  a cornercorner with one O(17)MgV3Zn trigonal bipyramid,  a cornercorner with one O(4)V3Zn2 trigonal bipyramid, corners with two equivalent O(11)V3Zn trigonal pyramids,  an edgeedge with one O(3)MgV2Zn2 trigonal bipyramid,  an edgeedge with one O(23)MgV3Zn trigonal bipyramid, and  an edgeedge with one O(4)V3Zn2 trigonal bipyramid. In the second O site, O(2) is bonded in a rectangular see-saw-like geometry to one V(1), one V(2), one V(4), and one Zn(2) atom. In the third O site, O(3) is bonded to one Mg(1), one V(1), one V(2), one Zn(1), and one Zn(3) atom to form distorted OMgV2Zn2 trigonal bipyramids that share  a cornercorner with one O(1)MgV3Zn trigonal bipyramid,  a cornercorner with one O(4)V3Zn2 trigonal bipyramid, corners with two equivalent O(17)MgV3Zn trigonal bipyramids,  a cornercorner with one O(11)V3Zn trigonal pyramid,  an edgeedge with one O(1)MgV3Zn trigonal bipyramid,  an edgeedge with one O(23)MgV3Zn trigonal bipyramid, and  an edgeedge with one O(4)V3Zn2 trigonal bipyramid. In the fourth O site, O(4) is bonded to one V(12), one V(2), one V(4), one Zn(1), and one Zn(3) atom to form distorted OV3Zn2 trigonal bipyramids that share  a cornercorner with one O(3)MgV2Zn2 trigonal bipyramid,  a cornercorner with one O(1)MgV3Zn trigonal bipyramid,  a cornercorner with one O(17)MgV3Zn trigonal bipyramid,  a cornercorner with one O(11)V3Zn trigonal pyramid,  an edgeedge with one O(3)MgV2Zn2 trigonal bipyramid,  an edgeedge with one O(1)MgV3Zn trigonal bipyramid, and  an edgeedge with one O(23)MgV3Zn trigonal bipyramid. In the fifth O site, O(5) is bonded in a rectangular see-saw-like geometry to one V(2), one V(4), one V(5), and one Zn(5) atom. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to one V(3), one V(5), one V(8), and one Zn(2) atom. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one V(1), one V(2), one V(5), and one Zn(5) atom. In the eighth O site, O(8) is bonded in a 6-coordinate geometry to one Mg(1), one V(1), one V(12), one V(2), one V(4), and one Zn(3) atom. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one V(3), one V(5), one V(6), and one Zn(2) atom. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to one V(3), one V(6), one V(8), and one Zn(4) atom. In the eleventh O site, O(11) is bonded to one V(1), one V(4), one V(5), and one Zn(5) atom to form distorted OV3Zn trigonal pyramids that share  a cornercorner with one O(3)MgV2Zn2 trigonal bipyramid,  a cornercorner with one O(4)V3Zn2 trigonal bipyramid, corners with two equivalent O(1)MgV3Zn trigonal bipyramids, and  a cornercorner with one O(12)V3Zn trigonal pyramid. In the twelfth O site, O(12) is bonded to one V(5), one V(6), one V(8), and one Zn(2) atom to form distorted corner-sharing OV3Zn trigonal pyramids. In the thirteenth O site, O(13) is bonded in a rectangular see-saw-like geometry to one V(10), one V(6), one V(8), and one Zn(6) atom. In the fourteenth O site, O(14) is bonded in a rectangular see-saw-like geometry to one V(10), one V(7), one V(9), and one Zn(4) atom. In the fifteenth O site, O(15) is bonded to one V(10), one V(3), one V(6), and one Zn(6) atom to form a mixture of distorted corner and edge-sharing OV3Zn trigonal pyramids. In the sixteenth O site, O(16) is bonded in a rectangular see-saw-like geometry to one V(3), one V(6), one V(8), and one Zn(5) atom. In the seventeenth O site, O(17) is bonded to one Mg(1), one V(11), one V(7), one V(9), and one Zn(3) atom to form distorted OMgV3Zn trigonal bipyramids that share  a cornercorner with one O(1)MgV3Zn trigonal bipyramid,  a cornercorner with one O(4)V3Zn2 trigonal bipyramid, corners with two equivalent O(3)MgV2Zn2 trigonal bipyramids, edges with two equivalent O(23)MgV3Zn trigonal bipyramids, and  an edgeedge with one O(20)V3Zn trigonal pyramid. In the eighteenth O site, O(18) is bonded in a rectangular see-saw-like geometry to one V(10), one V(11), one V(7), and one Zn(4) atom. In the nineteenth O site, O(19) is bonded to one V(10), one V(3), one V(8), and one Zn(6) atom to form a mixture of distorted corner and edge-sharing OV3Zn trigonal pyramids. In the twentieth O site, O(20) is bonded to one V(10), one V(11), one V(9), and one Zn(4) atom to form distorted OV3Zn trigonal pyramids that share  a cornercorner with one O(23)MgV3Zn trigonal bipyramid,  a cornercorner with one O(15)V3Zn trigonal pyramid,  a cornercorner with one O(19)V3Zn trigonal pyramid, and  an edgeedge with one O(17)MgV3Zn trigonal bipyramid. In the twenty-first O site, O(21) is bonded in a 4-coordinate geometry to one Mg(1), one V(11), one V(12), and one V(9) atom. In the twenty-second O site, O(22) is bonded in a rectangular see-saw-like geometry to one V(11), one V(7), one V(9), and one Zn(6) atom. In the twenty-third O site, O(23) is bonded to one Mg(1), one V(11), one V(12), one V(7), and one Zn(3) atom to form distorted OMgV3Zn trigonal bipyramids that share  a cornercorner with one O(20)V3Zn trigonal pyramid,  an edgeedge with one O(3)MgV2Zn2 trigonal bipyramid,  an edgeedge with one O(1)MgV3Zn trigonal bipyramid,  an edgeedge with one O(4)V3Zn2 trigonal bipyramid, and edges with two equivalent O(17)MgV3Zn trigonal bipyramids. In the twenty-fourth O site, O(24) is bonded in a distorted rectangular see-saw-like geometry to one V(12), one V(7), one V(9), and one Zn(3) atom.