MgV8Zn4O16 is Aluminum carbonitride-derived structured and crystallizes in the triclinic P1 space group. Mg(1) is bonded to one O(15), one O(7), one O(8), and two equivalent O(10) atoms to form MgO5 trigonal bipyramids that share  a cornercorner with one V(5)O6 octahedra, corners with two equivalent V(4)O6 octahedra,  a cornercorner with one V(7)O5 square pyramid,  a cornercorner with one V(3)O5 trigonal bipyramid, corners with two equivalent Mg(1)O5 trigonal bipyramids,  a cornercorner with one Zn(4)O4 trigonal pyramid,  an edgeedge with one V(7)O5 square pyramid,  an edgeedge with one V(3)O5 trigonal bipyramid, and  an edgeedge with one Zn(4)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 22-70°. There are eight inequivalent V sites. In the first V site, V(1) is bonded to one O(13), one O(16), one O(9), and two equivalent O(11) atoms to form distorted VO5 trigonal bipyramids that share  a cornercorner with one V(6)O6 octahedra, corners with two equivalent V(4)O6 octahedra,  a cornercorner with one Zn(2)O4 tetrahedra, corners with two equivalent Zn(3)O4 tetrahedra, corners with two equivalent V(1)O5 trigonal bipyramids, corners with two equivalent Zn(1)O5 trigonal bipyramids, and edges with two equivalent V(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 47-60°. In the second V site, V(2) is bonded in a 5-coordinate geometry to one O(3), one O(4), one O(6), and two equivalent O(7) atoms. In the third V site, V(3) is bonded to one O(1), one O(10), one O(8), and two equivalent O(2) atoms to form VO5 trigonal bipyramids that share  a cornercorner with one V(5)O6 octahedra,  a cornercorner with one V(7)O5 square pyramid,  a cornercorner with one Zn(3)O4 tetrahedra, corners with two equivalent Zn(2)O4 tetrahedra,  a cornercorner with one Mg(1)O5 trigonal bipyramid, corners with two equivalent V(3)O5 trigonal bipyramids, corners with two equivalent Zn(4)O4 trigonal pyramids, edges with two equivalent V(6)O6 octahedra, and  an edgeedge with one Mg(1)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 60°. In the fourth V site, V(4) is bonded to one O(5), one O(6), two equivalent O(15), and two equivalent O(9) atoms to form VO6 octahedra that share corners with two equivalent Zn(2)O4 tetrahedra,  a cornercorner with one Zn(1)O5 trigonal bipyramid, corners with two equivalent Mg(1)O5 trigonal bipyramids, corners with two equivalent V(1)O5 trigonal bipyramids, corners with two equivalent Zn(4)O4 trigonal pyramids, and edges with two equivalent V(4)O6 octahedra. In the fifth V site, V(5) is bonded to one O(11), one O(8), two equivalent O(14), and two equivalent O(16) atoms to form VO6 octahedra that share  a cornercorner with one Zn(3)O4 tetrahedra, corners with two equivalent Zn(2)O4 tetrahedra,  a cornercorner with one Mg(1)O5 trigonal bipyramid,  a cornercorner with one V(3)O5 trigonal bipyramid, edges with two equivalent V(5)O6 octahedra, edges with two equivalent V(1)O5 trigonal bipyramids, and edges with two equivalent Zn(4)O4 trigonal pyramids. In the sixth V site, V(6) is bonded to one O(13), one O(2), two equivalent O(1), and two equivalent O(3) atoms to form VO6 octahedra that share  a cornercorner with one Zn(2)O4 tetrahedra, corners with two equivalent Zn(3)O4 tetrahedra,  a cornercorner with one V(1)O5 trigonal bipyramid, edges with two equivalent V(6)O6 octahedra, edges with two equivalent V(3)O5 trigonal bipyramids, and edges with two equivalent Zn(1)O5 trigonal bipyramids. In the seventh V site, V(7) is bonded to one O(10), one O(12), one O(7), and two equivalent O(4) atoms to form distorted VO5 square pyramids that share corners with two equivalent V(7)O5 square pyramids, corners with two equivalent Zn(3)O4 tetrahedra,  a cornercorner with one Mg(1)O5 trigonal bipyramid,  a cornercorner with one V(3)O5 trigonal bipyramid, corners with two equivalent Zn(1)O5 trigonal bipyramids, and  an edgeedge with one Mg(1)O5 trigonal bipyramid. In the eighth V site, V(8) is bonded in a 5-coordinate geometry to one O(12), two equivalent O(14), and two equivalent O(5) atoms. There are four inequivalent Zn sites. In the first Zn site, Zn(1) is bonded to one O(3), one O(4), one O(5), and two equivalent O(13) atoms to form distorted ZnO5 trigonal bipyramids that share  a cornercorner with one V(4)O6 octahedra, corners with two equivalent V(7)O5 square pyramids, corners with two equivalent V(1)O5 trigonal bipyramids, corners with two equivalent Zn(1)O5 trigonal bipyramids, and edges with two equivalent V(6)O6 octahedra. The corner-sharing octahedral tilt angles are 65°. In the second Zn site, Zn(2) is bonded to one O(16), one O(2), and two equivalent O(6) atoms to form ZnO4 tetrahedra that share  a cornercorner with one V(6)O6 octahedra, corners with two equivalent V(4)O6 octahedra, corners with two equivalent V(5)O6 octahedra, corners with two equivalent Zn(2)O4 tetrahedra,  a cornercorner with one V(1)O5 trigonal bipyramid, and corners with two equivalent V(3)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles range from 53-72°. In the third Zn site, Zn(3) is bonded to one O(1), one O(11), and two equivalent O(12) atoms to form ZnO4 tetrahedra that share  a cornercorner with one V(5)O6 octahedra, corners with two equivalent V(6)O6 octahedra, corners with two equivalent V(7)O5 square pyramids, corners with two equivalent Zn(3)O4 tetrahedra,  a cornercorner with one V(3)O5 trigonal bipyramid, and corners with two equivalent V(1)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles range from 51-73°. In the fourth Zn site, Zn(4) is bonded to one O(14), one O(15), and two equivalent O(8) atoms to form distorted ZnO4 trigonal pyramids that share corners with two equivalent V(4)O6 octahedra,  a cornercorner with one Mg(1)O5 trigonal bipyramid, corners with two equivalent V(3)O5 trigonal bipyramids, corners with two equivalent Zn(4)O4 trigonal pyramids, edges with two equivalent V(5)O6 octahedra, and  an edgeedge with one Mg(1)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 36-80°. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to one V(3), two equivalent V(6), and one Zn(3) atom. In the second O site, O(2) is bonded to one V(6), two equivalent V(3), and one Zn(2) atom to form distorted OV3Zn tetrahedra that share  a cornercorner with one O(13)V2Zn2 tetrahedra, corners with two equivalent O(6)V2Zn2 tetrahedra, corners with two equivalent O(2)V3Zn tetrahedra, corners with two equivalent O(8)MgV2Zn2 trigonal bipyramids,  a cornercorner with one O(16)V3Zn trigonal pyramid, and corners with two equivalent O(3)V3Zn trigonal pyramids. In the third O site, O(3) is bonded to one V(2), two equivalent V(6), and one Zn(1) atom to form distorted OV3Zn trigonal pyramids that share  a cornercorner with one O(6)V2Zn2 tetrahedra,  a cornercorner with one O(5)V3Zn tetrahedra, corners with two equivalent O(7)MgV3 tetrahedra, corners with two equivalent O(2)V3Zn tetrahedra, corners with two equivalent O(3)V3Zn trigonal pyramids, edges with two equivalent O(13)V2Zn2 tetrahedra, and  an edgeedge with one O(4)V3Zn trigonal pyramid. In the fourth O site, O(4) is bonded to one V(2), two equivalent V(7), and one Zn(1) atom to form distorted OV3Zn trigonal pyramids that share  a cornercorner with one O(6)V2Zn2 tetrahedra,  a cornercorner with one O(5)V3Zn tetrahedra, corners with two equivalent O(12)V2Zn2 tetrahedra, corners with two equivalent O(13)V2Zn2 tetrahedra, corners with two equivalent O(4)V3Zn trigonal pyramids, edges with two equivalent O(7)MgV3 tetrahedra, and  an edgeedge with one O(3)V3Zn trigonal pyramid. In the fifth O site, O(5) is bonded to one V(4), two equivalent V(8), and one Zn(1) atom to form OV3Zn tetrahedra that share corners with two equivalent O(14)V4Zn square pyramids,  a cornercorner with one O(6)V2Zn2 tetrahedra, corners with two equivalent O(12)V2Zn2 tetrahedra, corners with two equivalent O(13)V2Zn2 tetrahedra, corners with two equivalent O(5)V3Zn tetrahedra,  a cornercorner with one O(3)V3Zn trigonal pyramid,  a cornercorner with one O(4)V3Zn trigonal pyramid, and  an edgeedge with one O(14)V4Zn square pyramid. In the sixth O site, O(6) is bonded to one V(2), one V(4), and two equivalent Zn(2) atoms to form OV2Zn2 tetrahedra that share  a cornercorner with one O(5)V3Zn tetrahedra, corners with two equivalent O(7)MgV3 tetrahedra, corners with two equivalent O(6)V2Zn2 tetrahedra, corners with two equivalent O(2)V3Zn tetrahedra,  a cornercorner with one O(3)V3Zn trigonal pyramid,  a cornercorner with one O(4)V3Zn trigonal pyramid, and corners with two equivalent O(16)V3Zn trigonal pyramids. In the seventh O site, O(7) is bonded to one Mg(1), one V(7), and two equivalent V(2) atoms to form OMgV3 tetrahedra that share  a cornercorner with one O(12)V2Zn2 tetrahedra, corners with two equivalent O(7)MgV3 tetrahedra, corners with two equivalent O(6)V2Zn2 tetrahedra,  a cornercorner with one O(8)MgV2Zn2 trigonal bipyramid, corners with two equivalent O(3)V3Zn trigonal pyramids, and edges with two equivalent O(4)V3Zn trigonal pyramids. In the eighth O site, O(8) is bonded to one Mg(1), one V(3), one V(5), and two equivalent Zn(4) atoms to form distorted OMgV2Zn2 trigonal bipyramids that share  a cornercorner with one O(7)MgV3 tetrahedra,  a cornercorner with one O(11)V3Zn tetrahedra, corners with two equivalent O(2)V3Zn tetrahedra, corners with two equivalent O(8)MgV2Zn2 trigonal bipyramids, corners with two equivalent O(16)V3Zn trigonal pyramids, and edges with two equivalent O(14)V4Zn square pyramids. In the ninth O site, O(9) is bonded in a distorted trigonal planar geometry to one V(1) and two equivalent V(4) atoms. In the tenth O site, O(10) is bonded in a 4-coordinate geometry to two equivalent Mg(1), one V(3), and one V(7) atom. In the eleventh O site, O(11) is bonded to one V(5), two equivalent V(1), and one Zn(3) atom to form OV3Zn tetrahedra that share corners with two equivalent O(14)V4Zn square pyramids, corners with two equivalent O(12)V2Zn2 tetrahedra, corners with two equivalent O(13)V2Zn2 tetrahedra, corners with two equivalent O(11)V3Zn tetrahedra,  a cornercorner with one O(8)MgV2Zn2 trigonal bipyramid, and edges with two equivalent O(16)V3Zn trigonal pyramids. In the twelfth O site, O(12) is bonded to one V(7), one V(8), and two equivalent Zn(3) atoms to form OV2Zn2 tetrahedra that share corners with two equivalent O(14)V4Zn square pyramids,  a cornercorner with one O(7)MgV3 tetrahedra, corners with two equivalent O(12)V2Zn2 tetrahedra, corners with two equivalent O(11)V3Zn tetrahedra, corners with two equivalent O(5)V3Zn tetrahedra, and corners with two equivalent O(4)V3Zn trigonal pyramids. In the thirteenth O site, O(13) is bonded to one V(1), one V(6), and two equivalent Zn(1) atoms to form OV2Zn2 tetrahedra that share  a cornercorner with one O(2)V3Zn tetrahedra, corners with two equivalent O(13)V2Zn2 tetrahedra, corners with two equivalent O(11)V3Zn tetrahedra, corners with two equivalent O(5)V3Zn tetrahedra,  a cornercorner with one O(16)V3Zn trigonal pyramid, corners with two equivalent O(4)V3Zn trigonal pyramids, and edges with two equivalent O(3)V3Zn trigonal pyramids. In the fourteenth O site, O(14) is bonded to two equivalent V(5), two equivalent V(8), and one Zn(4) atom to form distorted OV4Zn square pyramids that share corners with two equivalent O(12)V2Zn2 tetrahedra, corners with two equivalent O(11)V3Zn tetrahedra, corners with two equivalent O(5)V3Zn tetrahedra, corners with two equivalent O(16)V3Zn trigonal pyramids, edges with two equivalent O(14)V4Zn square pyramids,  an edgeedge with one O(5)V3Zn tetrahedra, edges with two equivalent O(8)MgV2Zn2 trigonal bipyramids, and  an edgeedge with one O(16)V3Zn trigonal pyramid. In the fifteenth O site, O(15) is bonded in a 4-coordinate geometry to one Mg(1), two equivalent V(4), and one Zn(4) atom. In the sixteenth O site, O(16) is bonded to one V(1), two equivalent V(5), and one Zn(2) atom to form distorted OV3Zn trigonal pyramids that share corners with two equivalent O(14)V4Zn square pyramids,  a cornercorner with one O(13)V2Zn2 tetrahedra,  a cornercorner with one O(2)V3Zn tetrahedra, corners with two equivalent O(6)V2Zn2 tetrahedra, corners with two equivalent O(8)MgV2Zn2 trigonal bipyramids, corners with two equivalent O(16)V3Zn trigonal pyramids,  an edgeedge with one O(14)V4Zn square pyramid, and edges with two equivalent O(11)V3Zn tetrahedra.
MgV8Zn4O16 is Aluminum carbonitride-derived structured and crystallizes in the triclinic P1 space group. Mg(1) is bonded to one O(15), one O(7), one O(8), and two equivalent O(10) atoms to form MgO5 trigonal bipyramids that share  a cornercorner with one V(5)O6 octahedra, corners with two equivalent V(4)O6 octahedra,  a cornercorner with one V(7)O5 square pyramid,  a cornercorner with one V(3)O5 trigonal bipyramid, corners with two equivalent Mg(1)O5 trigonal bipyramids,  a cornercorner with one Zn(4)O4 trigonal pyramid,  an edgeedge with one V(7)O5 square pyramid,  an edgeedge with one V(3)O5 trigonal bipyramid, and  an edgeedge with one Zn(4)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 22-70°. The Mg(1)-O(15) bond length is 2.09 Å. The Mg(1)-O(7) bond length is 1.97 Å. The Mg(1)-O(8) bond length is 2.11 Å. There is one shorter (2.10 Å) and one longer (2.11 Å) Mg(1)-O(10) bond length. There are eight inequivalent V sites. In the first V site, V(1) is bonded to one O(13), one O(16), one O(9), and two equivalent O(11) atoms to form distorted VO5 trigonal bipyramids that share  a cornercorner with one V(6)O6 octahedra, corners with two equivalent V(4)O6 octahedra,  a cornercorner with one Zn(2)O4 tetrahedra, corners with two equivalent Zn(3)O4 tetrahedra, corners with two equivalent V(1)O5 trigonal bipyramids, corners with two equivalent Zn(1)O5 trigonal bipyramids, and edges with two equivalent V(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 47-60°. The V(1)-O(13) bond length is 1.96 Å. The V(1)-O(16) bond length is 2.24 Å. The V(1)-O(9) bond length is 1.91 Å. There is one shorter (2.00 Å) and one longer (2.01 Å) V(1)-O(11) bond length. In the second V site, V(2) is bonded in a 5-coordinate geometry to one O(3), one O(4), one O(6), and two equivalent O(7) atoms. The V(2)-O(3) bond length is 1.87 Å. The V(2)-O(4) bond length is 2.34 Å. The V(2)-O(6) bond length is 2.00 Å. Both V(2)-O(7) bond lengths are 1.94 Å. In the third V site, V(3) is bonded to one O(1), one O(10), one O(8), and two equivalent O(2) atoms to form VO5 trigonal bipyramids that share  a cornercorner with one V(5)O6 octahedra,  a cornercorner with one V(7)O5 square pyramid,  a cornercorner with one Zn(3)O4 tetrahedra, corners with two equivalent Zn(2)O4 tetrahedra,  a cornercorner with one Mg(1)O5 trigonal bipyramid, corners with two equivalent V(3)O5 trigonal bipyramids, corners with two equivalent Zn(4)O4 trigonal pyramids, edges with two equivalent V(6)O6 octahedra, and  an edgeedge with one Mg(1)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 60°. The V(3)-O(1) bond length is 2.14 Å. The V(3)-O(10) bond length is 2.23 Å. The V(3)-O(8) bond length is 2.25 Å. There is one shorter (2.09 Å) and one longer (2.11 Å) V(3)-O(2) bond length. In the fourth V site, V(4) is bonded to one O(5), one O(6), two equivalent O(15), and two equivalent O(9) atoms to form VO6 octahedra that share corners with two equivalent Zn(2)O4 tetrahedra,  a cornercorner with one Zn(1)O5 trigonal bipyramid, corners with two equivalent Mg(1)O5 trigonal bipyramids, corners with two equivalent V(1)O5 trigonal bipyramids, corners with two equivalent Zn(4)O4 trigonal pyramids, and edges with two equivalent V(4)O6 octahedra. The V(4)-O(5) bond length is 2.10 Å. The V(4)-O(6) bond length is 2.21 Å. There is one shorter (2.08 Å) and one longer (2.28 Å) V(4)-O(15) bond length. There is one shorter (1.96 Å) and one longer (2.06 Å) V(4)-O(9) bond length. In the fifth V site, V(5) is bonded to one O(11), one O(8), two equivalent O(14), and two equivalent O(16) atoms to form VO6 octahedra that share  a cornercorner with one Zn(3)O4 tetrahedra, corners with two equivalent Zn(2)O4 tetrahedra,  a cornercorner with one Mg(1)O5 trigonal bipyramid,  a cornercorner with one V(3)O5 trigonal bipyramid, edges with two equivalent V(5)O6 octahedra, edges with two equivalent V(1)O5 trigonal bipyramids, and edges with two equivalent Zn(4)O4 trigonal pyramids. The V(5)-O(11) bond length is 2.05 Å. The V(5)-O(8) bond length is 2.15 Å. There is one shorter (2.05 Å) and one longer (2.35 Å) V(5)-O(14) bond length. There is one shorter (1.96 Å) and one longer (2.07 Å) V(5)-O(16) bond length. In the sixth V site, V(6) is bonded to one O(13), one O(2), two equivalent O(1), and two equivalent O(3) atoms to form VO6 octahedra that share  a cornercorner with one Zn(2)O4 tetrahedra, corners with two equivalent Zn(3)O4 tetrahedra,  a cornercorner with one V(1)O5 trigonal bipyramid, edges with two equivalent V(6)O6 octahedra, edges with two equivalent V(3)O5 trigonal bipyramids, and edges with two equivalent Zn(1)O5 trigonal bipyramids. The V(6)-O(13) bond length is 2.15 Å. The V(6)-O(2) bond length is 2.02 Å. There is one shorter (2.05 Å) and one longer (2.11 Å) V(6)-O(1) bond length. There is one shorter (2.04 Å) and one longer (2.07 Å) V(6)-O(3) bond length. In the seventh V site, V(7) is bonded to one O(10), one O(12), one O(7), and two equivalent O(4) atoms to form distorted VO5 square pyramids that share corners with two equivalent V(7)O5 square pyramids, corners with two equivalent Zn(3)O4 tetrahedra,  a cornercorner with one Mg(1)O5 trigonal bipyramid,  a cornercorner with one V(3)O5 trigonal bipyramid, corners with two equivalent Zn(1)O5 trigonal bipyramids, and  an edgeedge with one Mg(1)O5 trigonal bipyramid. The V(7)-O(10) bond length is 2.11 Å. The V(7)-O(12) bond length is 1.98 Å. The V(7)-O(7) bond length is 2.09 Å. There is one shorter (1.99 Å) and one longer (2.01 Å) V(7)-O(4) bond length. In the eighth V site, V(8) is bonded in a 5-coordinate geometry to one O(12), two equivalent O(14), and two equivalent O(5) atoms. The V(8)-O(12) bond length is 2.16 Å. There is one shorter (2.17 Å) and one longer (2.57 Å) V(8)-O(14) bond length. There is one shorter (2.08 Å) and one longer (2.14 Å) V(8)-O(5) bond length. There are four inequivalent Zn sites. In the first Zn site, Zn(1) is bonded to one O(3), one O(4), one O(5), and two equivalent O(13) atoms to form distorted ZnO5 trigonal bipyramids that share  a cornercorner with one V(4)O6 octahedra, corners with two equivalent V(7)O5 square pyramids, corners with two equivalent V(1)O5 trigonal bipyramids, corners with two equivalent Zn(1)O5 trigonal bipyramids, and edges with two equivalent V(6)O6 octahedra. The corner-sharing octahedral tilt angles are 65°. The Zn(1)-O(3) bond length is 2.34 Å. The Zn(1)-O(4) bond length is 2.07 Å. The Zn(1)-O(5) bond length is 2.07 Å. There is one shorter (2.05 Å) and one longer (2.07 Å) Zn(1)-O(13) bond length. In the second Zn site, Zn(2) is bonded to one O(16), one O(2), and two equivalent O(6) atoms to form ZnO4 tetrahedra that share  a cornercorner with one V(6)O6 octahedra, corners with two equivalent V(4)O6 octahedra, corners with two equivalent V(5)O6 octahedra, corners with two equivalent Zn(2)O4 tetrahedra,  a cornercorner with one V(1)O5 trigonal bipyramid, and corners with two equivalent V(3)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles range from 53-72°. The Zn(2)-O(16) bond length is 1.99 Å. The Zn(2)-O(2) bond length is 2.02 Å. There is one shorter (2.02 Å) and one longer (2.03 Å) Zn(2)-O(6) bond length. In the third Zn site, Zn(3) is bonded to one O(1), one O(11), and two equivalent O(12) atoms to form ZnO4 tetrahedra that share  a cornercorner with one V(5)O6 octahedra, corners with two equivalent V(6)O6 octahedra, corners with two equivalent V(7)O5 square pyramids, corners with two equivalent Zn(3)O4 tetrahedra,  a cornercorner with one V(3)O5 trigonal bipyramid, and corners with two equivalent V(1)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles range from 51-73°. The Zn(3)-O(1) bond length is 1.95 Å. The Zn(3)-O(11) bond length is 2.13 Å. There is one shorter (2.00 Å) and one longer (2.03 Å) Zn(3)-O(12) bond length. In the fourth Zn site, Zn(4) is bonded to one O(14), one O(15), and two equivalent O(8) atoms to form distorted ZnO4 trigonal pyramids that share corners with two equivalent V(4)O6 octahedra,  a cornercorner with one Mg(1)O5 trigonal bipyramid, corners with two equivalent V(3)O5 trigonal bipyramids, corners with two equivalent Zn(4)O4 trigonal pyramids, edges with two equivalent V(5)O6 octahedra, and  an edgeedge with one Mg(1)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 36-80°. The Zn(4)-O(14) bond length is 1.94 Å. The Zn(4)-O(15) bond length is 1.96 Å. There is one shorter (1.99 Å) and one longer (2.11 Å) Zn(4)-O(8) bond length. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to one V(3), two equivalent V(6), and one Zn(3) atom. In the second O site, O(2) is bonded to one V(6), two equivalent V(3), and one Zn(2) atom to form distorted OV3Zn tetrahedra that share  a cornercorner with one O(13)V2Zn2 tetrahedra, corners with two equivalent O(6)V2Zn2 tetrahedra, corners with two equivalent O(2)V3Zn tetrahedra, corners with two equivalent O(8)MgV2Zn2 trigonal bipyramids,  a cornercorner with one O(16)V3Zn trigonal pyramid, and corners with two equivalent O(3)V3Zn trigonal pyramids. In the third O site, O(3) is bonded to one V(2), two equivalent V(6), and one Zn(1) atom to form distorted OV3Zn trigonal pyramids that share  a cornercorner with one O(6)V2Zn2 tetrahedra,  a cornercorner with one O(5)V3Zn tetrahedra, corners with two equivalent O(7)MgV3 tetrahedra, corners with two equivalent O(2)V3Zn tetrahedra, corners with two equivalent O(3)V3Zn trigonal pyramids, edges with two equivalent O(13)V2Zn2 tetrahedra, and  an edgeedge with one O(4)V3Zn trigonal pyramid. In the fourth O site, O(4) is bonded to one V(2), two equivalent V(7), and one Zn(1) atom to form distorted OV3Zn trigonal pyramids that share  a cornercorner with one O(6)V2Zn2 tetrahedra,  a cornercorner with one O(5)V3Zn tetrahedra, corners with two equivalent O(12)V2Zn2 tetrahedra, corners with two equivalent O(13)V2Zn2 tetrahedra, corners with two equivalent O(4)V3Zn trigonal pyramids, edges with two equivalent O(7)MgV3 tetrahedra, and  an edgeedge with one O(3)V3Zn trigonal pyramid. In the fifth O site, O(5) is bonded to one V(4), two equivalent V(8), and one Zn(1) atom to form OV3Zn tetrahedra that share corners with two equivalent O(14)V4Zn square pyramids,  a cornercorner with one O(6)V2Zn2 tetrahedra, corners with two equivalent O(12)V2Zn2 tetrahedra, corners with two equivalent O(13)V2Zn2 tetrahedra, corners with two equivalent O(5)V3Zn tetrahedra,  a cornercorner with one O(3)V3Zn trigonal pyramid,  a cornercorner with one O(4)V3Zn trigonal pyramid, and  an edgeedge with one O(14)V4Zn square pyramid. In the sixth O site, O(6) is bonded to one V(2), one V(4), and two equivalent Zn(2) atoms to form OV2Zn2 tetrahedra that share  a cornercorner with one O(5)V3Zn tetrahedra, corners with two equivalent O(7)MgV3 tetrahedra, corners with two equivalent O(6)V2Zn2 tetrahedra, corners with two equivalent O(2)V3Zn tetrahedra,  a cornercorner with one O(3)V3Zn trigonal pyramid,  a cornercorner with one O(4)V3Zn trigonal pyramid, and corners with two equivalent O(16)V3Zn trigonal pyramids. In the seventh O site, O(7) is bonded to one Mg(1), one V(7), and two equivalent V(2) atoms to form OMgV3 tetrahedra that share  a cornercorner with one O(12)V2Zn2 tetrahedra, corners with two equivalent O(7)MgV3 tetrahedra, corners with two equivalent O(6)V2Zn2 tetrahedra,  a cornercorner with one O(8)MgV2Zn2 trigonal bipyramid, corners with two equivalent O(3)V3Zn trigonal pyramids, and edges with two equivalent O(4)V3Zn trigonal pyramids. In the eighth O site, O(8) is bonded to one Mg(1), one V(3), one V(5), and two equivalent Zn(4) atoms to form distorted OMgV2Zn2 trigonal bipyramids that share  a cornercorner with one O(7)MgV3 tetrahedra,  a cornercorner with one O(11)V3Zn tetrahedra, corners with two equivalent O(2)V3Zn tetrahedra, corners with two equivalent O(8)MgV2Zn2 trigonal bipyramids, corners with two equivalent O(16)V3Zn trigonal pyramids, and edges with two equivalent O(14)V4Zn square pyramids. In the ninth O site, O(9) is bonded in a distorted trigonal planar geometry to one V(1) and two equivalent V(4) atoms. In the tenth O site, O(10) is bonded in a 4-coordinate geometry to two equivalent Mg(1), one V(3), and one V(7) atom. In the eleventh O site, O(11) is bonded to one V(5), two equivalent V(1), and one Zn(3) atom to form OV3Zn tetrahedra that share corners with two equivalent O(14)V4Zn square pyramids, corners with two equivalent O(12)V2Zn2 tetrahedra, corners with two equivalent O(13)V2Zn2 tetrahedra, corners with two equivalent O(11)V3Zn tetrahedra,  a cornercorner with one O(8)MgV2Zn2 trigonal bipyramid, and edges with two equivalent O(16)V3Zn trigonal pyramids. In the twelfth O site, O(12) is bonded to one V(7), one V(8), and two equivalent Zn(3) atoms to form OV2Zn2 tetrahedra that share corners with two equivalent O(14)V4Zn square pyramids,  a cornercorner with one O(7)MgV3 tetrahedra, corners with two equivalent O(12)V2Zn2 tetrahedra, corners with two equivalent O(11)V3Zn tetrahedra, corners with two equivalent O(5)V3Zn tetrahedra, and corners with two equivalent O(4)V3Zn trigonal pyramids. In the thirteenth O site, O(13) is bonded to one V(1), one V(6), and two equivalent Zn(1) atoms to form OV2Zn2 tetrahedra that share  a cornercorner with one O(2)V3Zn tetrahedra, corners with two equivalent O(13)V2Zn2 tetrahedra, corners with two equivalent O(11)V3Zn tetrahedra, corners with two equivalent O(5)V3Zn tetrahedra,  a cornercorner with one O(16)V3Zn trigonal pyramid, corners with two equivalent O(4)V3Zn trigonal pyramids, and edges with two equivalent O(3)V3Zn trigonal pyramids. In the fourteenth O site, O(14) is bonded to two equivalent V(5), two equivalent V(8), and one Zn(4) atom to form distorted OV4Zn square pyramids that share corners with two equivalent O(12)V2Zn2 tetrahedra, corners with two equivalent O(11)V3Zn tetrahedra, corners with two equivalent O(5)V3Zn tetrahedra, corners with two equivalent O(16)V3Zn trigonal pyramids, edges with two equivalent O(14)V4Zn square pyramids,  an edgeedge with one O(5)V3Zn tetrahedra, edges with two equivalent O(8)MgV2Zn2 trigonal bipyramids, and  an edgeedge with one O(16)V3Zn trigonal pyramid. In the fifteenth O site, O(15) is bonded in a 4-coordinate geometry to one Mg(1), two equivalent V(4), and one Zn(4) atom. In the sixteenth O site, O(16) is bonded to one V(1), two equivalent V(5), and one Zn(2) atom to form distorted OV3Zn trigonal pyramids that share corners with two equivalent O(14)V4Zn square pyramids,  a cornercorner with one O(13)V2Zn2 tetrahedra,  a cornercorner with one O(2)V3Zn tetrahedra, corners with two equivalent O(6)V2Zn2 tetrahedra, corners with two equivalent O(8)MgV2Zn2 trigonal bipyramids, corners with two equivalent O(16)V3Zn trigonal pyramids,  an edgeedge with one O(14)V4Zn square pyramid, and edges with two equivalent O(11)V3Zn tetrahedra.