Zr15VO32 is Baddeleyite-derived structured and crystallizes in the triclinic P1 space group. There are fifteen inequivalent Zr sites. In the first Zr site, Zr(1) is bonded to one O(1), one O(12), one O(2), one O(29), one O(5), one O(6), and one O(8) atom to form distorted ZrO7 pentagonal bipyramids that share  a cornercorner with one Zr(2)O7 pentagonal bipyramid,  a cornercorner with one Zr(4)O7 pentagonal bipyramid, corners with two equivalent Zr(13)O7 pentagonal bipyramids,  an edgeedge with one Zr(2)O7 pentagonal bipyramid,  an edgeedge with one Zr(4)O7 pentagonal bipyramid,  an edgeedge with one Zr(6)O7 pentagonal bipyramid,  an edgeedge with one Zr(8)O7 pentagonal bipyramid,  an edgeedge with one V(1)O7 pentagonal bipyramid, and edges with two equivalent Zr(5)O7 pentagonal bipyramids. In the second Zr site, Zr(2) is bonded to one O(10), one O(2), one O(3), one O(30), one O(6), one O(7), and one O(8) atom to form distorted ZrO7 pentagonal bipyramids that share  a cornercorner with one Zr(1)O7 pentagonal bipyramid,  a cornercorner with one Zr(3)O7 pentagonal bipyramid, corners with two equivalent V(1)O7 pentagonal bipyramids,  an edgeedge with one Zr(1)O7 pentagonal bipyramid,  an edgeedge with one Zr(14)O7 pentagonal bipyramid,  an edgeedge with one Zr(3)O7 pentagonal bipyramid,  an edgeedge with one Zr(5)O7 pentagonal bipyramid,  an edgeedge with one Zr(7)O7 pentagonal bipyramid, and edges with two equivalent Zr(6)O7 pentagonal bipyramids. In the third Zr site, Zr(3) is bonded to one O(10), one O(11), one O(3), one O(31), one O(4), one O(7), and one O(9) atom to form a mixture of distorted corner and edge-sharing ZrO7 pentagonal bipyramids. In the fourth Zr site, Zr(4) is bonded to one O(1), one O(11), one O(12), one O(32), one O(4), one O(5), and one O(9) atom to form a mixture of distorted corner and edge-sharing ZrO7 pentagonal bipyramids. In the fifth Zr site, Zr(5) is bonded to one O(12), one O(13), one O(15), one O(18), one O(5), one O(6), and one O(8) atom to form a mixture of distorted corner and edge-sharing ZrO7 pentagonal bipyramids. In the sixth Zr site, Zr(6) is bonded to one O(10), one O(13), one O(14), one O(17), one O(6), one O(7), and one O(8) atom to form a mixture of distorted corner and edge-sharing ZrO7 pentagonal bipyramids. In the seventh Zr site, Zr(7) is bonded to one O(10), one O(11), one O(14), one O(16), one O(19), one O(7), and one O(9) atom to form a mixture of distorted corner and edge-sharing ZrO7 pentagonal bipyramids. In the eighth Zr site, Zr(8) is bonded to one O(11), one O(12), one O(16), one O(18), one O(20), one O(5), and one O(9) atom to form a mixture of distorted corner and edge-sharing ZrO7 pentagonal bipyramids. In the ninth Zr site, Zr(9) is bonded to one O(13), one O(15), one O(17), one O(21), one O(22), one O(24), and one O(28) atom to form distorted ZrO7 pentagonal bipyramids that share  a cornercorner with one Zr(10)O7 pentagonal bipyramid,  a cornercorner with one Zr(12)O7 pentagonal bipyramid, corners with two equivalent Zr(5)O7 pentagonal bipyramids,  an edgeedge with one Zr(10)O7 pentagonal bipyramid,  an edgeedge with one Zr(12)O7 pentagonal bipyramid,  an edgeedge with one Zr(15)O7 pentagonal bipyramid,  an edgeedge with one Zr(6)O7 pentagonal bipyramid,  an edgeedge with one V(1)O7 pentagonal bipyramid, and edges with two equivalent Zr(13)O7 pentagonal bipyramids. In the tenth Zr site, Zr(10) is bonded to one O(14), one O(17), one O(19), one O(22), one O(23), one O(24), and one O(26) atom to form distorted ZrO7 pentagonal bipyramids that share  a cornercorner with one Zr(11)O7 pentagonal bipyramid,  a cornercorner with one Zr(9)O7 pentagonal bipyramid, corners with two equivalent Zr(6)O7 pentagonal bipyramids,  an edgeedge with one Zr(11)O7 pentagonal bipyramid,  an edgeedge with one Zr(13)O7 pentagonal bipyramid,  an edgeedge with one Zr(14)O7 pentagonal bipyramid,  an edgeedge with one Zr(7)O7 pentagonal bipyramid,  an edgeedge with one Zr(9)O7 pentagonal bipyramid, and edges with two equivalent V(1)O7 pentagonal bipyramids. In the eleventh Zr site, Zr(11) is bonded to one O(16), one O(19), one O(20), one O(23), one O(25), one O(26), and one O(27) atom to form distorted ZrO7 pentagonal bipyramids that share  a cornercorner with one Zr(10)O7 pentagonal bipyramid,  a cornercorner with one Zr(12)O7 pentagonal bipyramid, corners with two equivalent Zr(7)O7 pentagonal bipyramids,  an edgeedge with one Zr(10)O7 pentagonal bipyramid,  an edgeedge with one Zr(12)O7 pentagonal bipyramid,  an edgeedge with one Zr(15)O7 pentagonal bipyramid,  an edgeedge with one Zr(8)O7 pentagonal bipyramid,  an edgeedge with one V(1)O7 pentagonal bipyramid, and edges with two equivalent Zr(14)O7 pentagonal bipyramids. In the twelfth Zr site, Zr(12) is bonded to one O(15), one O(18), one O(20), one O(21), one O(25), one O(27), and one O(28) atom to form a mixture of distorted corner and edge-sharing ZrO7 pentagonal bipyramids. In the thirteenth Zr site, Zr(13) is bonded to one O(1), one O(21), one O(22), one O(24), one O(28), one O(29), and one O(32) atom to form distorted ZrO7 pentagonal bipyramids that share  a cornercorner with one Zr(15)O7 pentagonal bipyramid,  a cornercorner with one V(1)O7 pentagonal bipyramid, corners with two equivalent Zr(1)O7 pentagonal bipyramids,  an edgeedge with one Zr(10)O7 pentagonal bipyramid,  an edgeedge with one Zr(12)O7 pentagonal bipyramid,  an edgeedge with one Zr(15)O7 pentagonal bipyramid,  an edgeedge with one Zr(4)O7 pentagonal bipyramid,  an edgeedge with one V(1)O7 pentagonal bipyramid, and edges with two equivalent Zr(9)O7 pentagonal bipyramids. In the fourteenth Zr site, Zr(14) is bonded to one O(23), one O(25), one O(26), one O(27), one O(3), one O(30), and one O(31) atom to form distorted ZrO7 pentagonal bipyramids that share  a cornercorner with one Zr(15)O7 pentagonal bipyramid,  a cornercorner with one V(1)O7 pentagonal bipyramid, corners with two equivalent Zr(3)O7 pentagonal bipyramids,  an edgeedge with one Zr(10)O7 pentagonal bipyramid,  an edgeedge with one Zr(12)O7 pentagonal bipyramid,  an edgeedge with one Zr(15)O7 pentagonal bipyramid,  an edgeedge with one Zr(2)O7 pentagonal bipyramid,  an edgeedge with one V(1)O7 pentagonal bipyramid, and edges with two equivalent Zr(11)O7 pentagonal bipyramids. In the fifteenth Zr site, Zr(15) is bonded to one O(21), one O(25), one O(27), one O(28), one O(31), one O(32), and one O(4) atom to form a mixture of distorted corner and edge-sharing ZrO7 pentagonal bipyramids. V(1) is bonded to one O(2), one O(22), one O(23), one O(24), one O(26), one O(29), and one O(30) atom to form distorted VO7 pentagonal bipyramids that share  a cornercorner with one Zr(13)O7 pentagonal bipyramid,  a cornercorner with one Zr(14)O7 pentagonal bipyramid, corners with two equivalent Zr(2)O7 pentagonal bipyramids,  an edgeedge with one Zr(1)O7 pentagonal bipyramid,  an edgeedge with one Zr(11)O7 pentagonal bipyramid,  an edgeedge with one Zr(13)O7 pentagonal bipyramid,  an edgeedge with one Zr(14)O7 pentagonal bipyramid,  an edgeedge with one Zr(9)O7 pentagonal bipyramid, and edges with two equivalent Zr(10)O7 pentagonal bipyramids. There are thirty-two inequivalent O sites. In the first O site, O(1) is bonded in a distorted trigonal non-coplanar geometry to one Zr(1), one Zr(13), and one Zr(4) atom. In the second O site, O(2) is bonded in a distorted T-shaped geometry to one Zr(1), one Zr(2), and one V(1) atom. In the third O site, O(3) is bonded in a distorted trigonal non-coplanar geometry to one Zr(14), one Zr(2), and one Zr(3) atom. In the fourth O site, O(4) is bonded in a distorted trigonal non-coplanar geometry to one Zr(15), one Zr(3), and one Zr(4) atom. In the fifth O site, O(5) is bonded to one Zr(1), one Zr(4), one Zr(5), and one Zr(8) atom to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the sixth O site, O(6) is bonded to one Zr(1), one Zr(2), one Zr(5), and one Zr(6) atom to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the seventh O site, O(7) is bonded to one Zr(2), one Zr(3), one Zr(6), and one Zr(7) atom to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the eighth O site, O(8) is bonded to one Zr(1), one Zr(2), one Zr(5), and one Zr(6) atom to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the ninth O site, O(9) is bonded to one Zr(3), one Zr(4), one Zr(7), and one Zr(8) atom to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the tenth O site, O(10) is bonded to one Zr(2), one Zr(3), one Zr(6), and one Zr(7) atom to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the eleventh O site, O(11) is bonded to one Zr(3), one Zr(4), one Zr(7), and one Zr(8) atom to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the twelfth O site, O(12) is bonded to one Zr(1), one Zr(4), one Zr(5), and one Zr(8) atom to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the thirteenth O site, O(13) is bonded in a distorted trigonal non-coplanar geometry to one Zr(5), one Zr(6), and one Zr(9) atom. In the fourteenth O site, O(14) is bonded in a distorted trigonal non-coplanar geometry to one Zr(10), one Zr(6), and one Zr(7) atom. In the fifteenth O site, O(15) is bonded in a distorted trigonal non-coplanar geometry to one Zr(12), one Zr(5), and one Zr(9) atom. In the sixteenth O site, O(16) is bonded in a distorted trigonal non-coplanar geometry to one Zr(11), one Zr(7), and one Zr(8) atom. In the seventeenth O site, O(17) is bonded in a distorted trigonal non-coplanar geometry to one Zr(10), one Zr(6), and one Zr(9) atom. In the eighteenth O site, O(18) is bonded in a distorted trigonal non-coplanar geometry to one Zr(12), one Zr(5), and one Zr(8) atom. In the nineteenth O site, O(19) is bonded in a distorted trigonal non-coplanar geometry to one Zr(10), one Zr(11), and one Zr(7) atom. In the twentieth O site, O(20) is bonded in a distorted trigonal non-coplanar geometry to one Zr(11), one Zr(12), and one Zr(8) atom. In the twenty-first O site, O(21) is bonded to one Zr(12), one Zr(13), one Zr(15), and one Zr(9) atom to form OZr4 tetrahedra that share corners with two equivalent O(24)Zr3V tetrahedra, corners with two equivalent O(27)Zr4 tetrahedra,  an edgeedge with one O(22)Zr3V tetrahedra,  an edgeedge with one O(25)Zr4 tetrahedra, and edges with two equivalent O(28)Zr4 tetrahedra. In the twenty-second O site, O(22) is bonded to one Zr(10), one Zr(13), one Zr(9), and one V(1) atom to form OZr3V tetrahedra that share corners with two equivalent O(26)Zr3V tetrahedra, corners with two equivalent O(28)Zr4 tetrahedra,  an edgeedge with one O(23)Zr3V tetrahedra,  an edgeedge with one O(21)Zr4 tetrahedra, and edges with two equivalent O(24)Zr3V tetrahedra. In the twenty-third O site, O(23) is bonded to one Zr(10), one Zr(11), one Zr(14), and one V(1) atom to form distorted OZr3V tetrahedra that share corners with two equivalent O(24)Zr3V tetrahedra, corners with two equivalent O(27)Zr4 tetrahedra,  an edgeedge with one O(22)Zr3V tetrahedra,  an edgeedge with one O(25)Zr4 tetrahedra, and edges with two equivalent O(26)Zr3V tetrahedra. In the twenty-fourth O site, O(24) is bonded to one Zr(10), one Zr(13), one Zr(9), and one V(1) atom to form OZr3V tetrahedra that share corners with two equivalent O(23)Zr3V tetrahedra, corners with two equivalent O(21)Zr4 tetrahedra,  an edgeedge with one O(26)Zr3V tetrahedra,  an edgeedge with one O(28)Zr4 tetrahedra, and edges with two equivalent O(22)Zr3V tetrahedra. In the twenty-fifth O site, O(25) is bonded to one Zr(11), one Zr(12), one Zr(14), and one Zr(15) atom to form OZr4 tetrahedra that share corners with two equivalent O(26)Zr3V tetrahedra, corners with two equivalent O(28)Zr4 tetrahedra,  an edgeedge with one O(23)Zr3V tetrahedra,  an edgeedge with one O(21)Zr4 tetrahedra, and edges with two equivalent O(27)Zr4 tetrahedra. In the twenty-sixth O site, O(26) is bonded to one Zr(10), one Zr(11), one Zr(14), and one V(1) atom to form OZr3V tetrahedra that share corners with two equivalent O(22)Zr3V tetrahedra, corners with two equivalent O(25)Zr4 tetrahedra,  an edgeedge with one O(24)Zr3V tetrahedra,  an edgeedge with one O(27)Zr4 tetrahedra, and edges with two equivalent O(23)Zr3V tetrahedra. In the twenty-seventh O site, O(27) is bonded to one Zr(11), one Zr(12), one Zr(14), and one Zr(15) atom to form OZr4 tetrahedra that share corners with two equivalent O(23)Zr3V tetrahedra, corners with two equivalent O(21)Zr4 tetrahedra,  an edgeedge with one O(26)Zr3V tetrahedra,  an edgeedge with one O(28)Zr4 tetrahedra, and edges with two equivalent O(25)Zr4 tetrahedra. In the twenty-eighth O site, O(28) is bonded to one Zr(12), one Zr(13), one Zr(15), and one Zr(9) atom to form OZr4 tetrahedra that share corners with two equivalent O(22)Zr3V tetrahedra, corners with two equivalent O(25)Zr4 tetrahedra,  an edgeedge with one O(24)Zr3V tetrahedra,  an edgeedge with one O(27)Zr4 tetrahedra, and edges with two equivalent O(21)Zr4 tetrahedra. In the twenty-ninth O site, O(29) is bonded in a distorted trigonal planar geometry to one Zr(1), one Zr(13), and one V(1) atom. In the thirtieth O site, O(30) is bonded in a distorted trigonal planar geometry to one Zr(14), one Zr(2), and one V(1) atom. In the thirty-first O site, O(31) is bonded in a distorted trigonal non-coplanar geometry to one Zr(14), one Zr(15), and one Zr(3) atom. In the thirty-second O site, O(32) is bonded in a distorted trigonal non-coplanar geometry to one Zr(13), one Zr(15), and one Zr(4) atom.
Zr15VO32 is Baddeleyite-derived structured and crystallizes in the triclinic P1 space group. There are fifteen inequivalent Zr sites. In the first Zr site, Zr(1) is bonded to one O(1), one O(12), one O(2), one O(29), one O(5), one O(6), and one O(8) atom to form distorted ZrO7 pentagonal bipyramids that share  a cornercorner with one Zr(2)O7 pentagonal bipyramid,  a cornercorner with one Zr(4)O7 pentagonal bipyramid, corners with two equivalent Zr(13)O7 pentagonal bipyramids,  an edgeedge with one Zr(2)O7 pentagonal bipyramid,  an edgeedge with one Zr(4)O7 pentagonal bipyramid,  an edgeedge with one Zr(6)O7 pentagonal bipyramid,  an edgeedge with one Zr(8)O7 pentagonal bipyramid,  an edgeedge with one V(1)O7 pentagonal bipyramid, and edges with two equivalent Zr(5)O7 pentagonal bipyramids. The Zr(1)-O(1) bond length is 2.07 Å. The Zr(1)-O(12) bond length is 2.29 Å. The Zr(1)-O(2) bond length is 2.23 Å. The Zr(1)-O(29) bond length is 2.10 Å. The Zr(1)-O(5) bond length is 2.17 Å. The Zr(1)-O(6) bond length is 2.28 Å. The Zr(1)-O(8) bond length is 2.16 Å. In the second Zr site, Zr(2) is bonded to one O(10), one O(2), one O(3), one O(30), one O(6), one O(7), and one O(8) atom to form distorted ZrO7 pentagonal bipyramids that share  a cornercorner with one Zr(1)O7 pentagonal bipyramid,  a cornercorner with one Zr(3)O7 pentagonal bipyramid, corners with two equivalent V(1)O7 pentagonal bipyramids,  an edgeedge with one Zr(1)O7 pentagonal bipyramid,  an edgeedge with one Zr(14)O7 pentagonal bipyramid,  an edgeedge with one Zr(3)O7 pentagonal bipyramid,  an edgeedge with one Zr(5)O7 pentagonal bipyramid,  an edgeedge with one Zr(7)O7 pentagonal bipyramid, and edges with two equivalent Zr(6)O7 pentagonal bipyramids. The Zr(2)-O(10) bond length is 2.20 Å. The Zr(2)-O(2) bond length is 2.11 Å. The Zr(2)-O(3) bond length is 2.15 Å. The Zr(2)-O(30) bond length is 2.15 Å. The Zr(2)-O(6) bond length is 2.18 Å. The Zr(2)-O(7) bond length is 2.29 Å. The Zr(2)-O(8) bond length is 2.23 Å. In the third Zr site, Zr(3) is bonded to one O(10), one O(11), one O(3), one O(31), one O(4), one O(7), and one O(9) atom to form a mixture of distorted corner and edge-sharing ZrO7 pentagonal bipyramids. The Zr(3)-O(10) bond length is 2.27 Å. The Zr(3)-O(11) bond length is 2.20 Å. The Zr(3)-O(3) bond length is 2.10 Å. The Zr(3)-O(31) bond length is 2.09 Å. The Zr(3)-O(4) bond length is 2.18 Å. The Zr(3)-O(7) bond length is 2.18 Å. The Zr(3)-O(9) bond length is 2.29 Å. In the fourth Zr site, Zr(4) is bonded to one O(1), one O(11), one O(12), one O(32), one O(4), one O(5), and one O(9) atom to form a mixture of distorted corner and edge-sharing ZrO7 pentagonal bipyramids. The Zr(4)-O(1) bond length is 2.20 Å. The Zr(4)-O(11) bond length is 2.27 Å. The Zr(4)-O(12) bond length is 2.19 Å. The Zr(4)-O(32) bond length is 2.09 Å. The Zr(4)-O(4) bond length is 2.08 Å. The Zr(4)-O(5) bond length is 2.28 Å. The Zr(4)-O(9) bond length is 2.18 Å. In the fifth Zr site, Zr(5) is bonded to one O(12), one O(13), one O(15), one O(18), one O(5), one O(6), and one O(8) atom to form a mixture of distorted corner and edge-sharing ZrO7 pentagonal bipyramids. The Zr(5)-O(12) bond length is 2.28 Å. The Zr(5)-O(13) bond length is 2.08 Å. The Zr(5)-O(15) bond length is 2.09 Å. The Zr(5)-O(18) bond length is 2.18 Å. The Zr(5)-O(5) bond length is 2.21 Å. The Zr(5)-O(6) bond length is 2.27 Å. The Zr(5)-O(8) bond length is 2.21 Å. In the sixth Zr site, Zr(6) is bonded to one O(10), one O(13), one O(14), one O(17), one O(6), one O(7), and one O(8) atom to form a mixture of distorted corner and edge-sharing ZrO7 pentagonal bipyramids. The Zr(6)-O(10) bond length is 2.18 Å. The Zr(6)-O(13) bond length is 2.17 Å. The Zr(6)-O(14) bond length is 2.06 Å. The Zr(6)-O(17) bond length is 2.09 Å. The Zr(6)-O(6) bond length is 2.21 Å. The Zr(6)-O(7) bond length is 2.27 Å. The Zr(6)-O(8) bond length is 2.33 Å. In the seventh Zr site, Zr(7) is bonded to one O(10), one O(11), one O(14), one O(16), one O(19), one O(7), and one O(9) atom to form a mixture of distorted corner and edge-sharing ZrO7 pentagonal bipyramids. The Zr(7)-O(10) bond length is 2.30 Å. The Zr(7)-O(11) bond length is 2.19 Å. The Zr(7)-O(14) bond length is 2.17 Å. The Zr(7)-O(16) bond length is 2.07 Å. The Zr(7)-O(19) bond length is 2.10 Å. The Zr(7)-O(7) bond length is 2.21 Å. The Zr(7)-O(9) bond length is 2.28 Å. In the eighth Zr site, Zr(8) is bonded to one O(11), one O(12), one O(16), one O(18), one O(20), one O(5), and one O(9) atom to form a mixture of distorted corner and edge-sharing ZrO7 pentagonal bipyramids. The Zr(8)-O(11) bond length is 2.28 Å. The Zr(8)-O(12) bond length is 2.18 Å. The Zr(8)-O(16) bond length is 2.18 Å. The Zr(8)-O(18) bond length is 2.08 Å. The Zr(8)-O(20) bond length is 2.08 Å. The Zr(8)-O(5) bond length is 2.29 Å. The Zr(8)-O(9) bond length is 2.20 Å. In the ninth Zr site, Zr(9) is bonded to one O(13), one O(15), one O(17), one O(21), one O(22), one O(24), and one O(28) atom to form distorted ZrO7 pentagonal bipyramids that share  a cornercorner with one Zr(10)O7 pentagonal bipyramid,  a cornercorner with one Zr(12)O7 pentagonal bipyramid, corners with two equivalent Zr(5)O7 pentagonal bipyramids,  an edgeedge with one Zr(10)O7 pentagonal bipyramid,  an edgeedge with one Zr(12)O7 pentagonal bipyramid,  an edgeedge with one Zr(15)O7 pentagonal bipyramid,  an edgeedge with one Zr(6)O7 pentagonal bipyramid,  an edgeedge with one V(1)O7 pentagonal bipyramid, and edges with two equivalent Zr(13)O7 pentagonal bipyramids. The Zr(9)-O(13) bond length is 2.10 Å. The Zr(9)-O(15) bond length is 2.09 Å. The Zr(9)-O(17) bond length is 2.17 Å. The Zr(9)-O(21) bond length is 2.18 Å. The Zr(9)-O(22) bond length is 2.29 Å. The Zr(9)-O(24) bond length is 2.18 Å. The Zr(9)-O(28) bond length is 2.28 Å. In the tenth Zr site, Zr(10) is bonded to one O(14), one O(17), one O(19), one O(22), one O(23), one O(24), and one O(26) atom to form distorted ZrO7 pentagonal bipyramids that share  a cornercorner with one Zr(11)O7 pentagonal bipyramid,  a cornercorner with one Zr(9)O7 pentagonal bipyramid, corners with two equivalent Zr(6)O7 pentagonal bipyramids,  an edgeedge with one Zr(11)O7 pentagonal bipyramid,  an edgeedge with one Zr(13)O7 pentagonal bipyramid,  an edgeedge with one Zr(14)O7 pentagonal bipyramid,  an edgeedge with one Zr(7)O7 pentagonal bipyramid,  an edgeedge with one Zr(9)O7 pentagonal bipyramid, and edges with two equivalent V(1)O7 pentagonal bipyramids. The Zr(10)-O(14) bond length is 2.13 Å. The Zr(10)-O(17) bond length is 2.09 Å. The Zr(10)-O(19) bond length is 2.19 Å. The Zr(10)-O(22) bond length is 2.19 Å. The Zr(10)-O(23) bond length is 2.25 Å. The Zr(10)-O(24) bond length is 2.23 Å. The Zr(10)-O(26) bond length is 2.19 Å. In the eleventh Zr site, Zr(11) is bonded to one O(16), one O(19), one O(20), one O(23), one O(25), one O(26), and one O(27) atom to form distorted ZrO7 pentagonal bipyramids that share  a cornercorner with one Zr(10)O7 pentagonal bipyramid,  a cornercorner with one Zr(12)O7 pentagonal bipyramid, corners with two equivalent Zr(7)O7 pentagonal bipyramids,  an edgeedge with one Zr(10)O7 pentagonal bipyramid,  an edgeedge with one Zr(12)O7 pentagonal bipyramid,  an edgeedge with one Zr(15)O7 pentagonal bipyramid,  an edgeedge with one Zr(8)O7 pentagonal bipyramid,  an edgeedge with one V(1)O7 pentagonal bipyramid, and edges with two equivalent Zr(14)O7 pentagonal bipyramids. The Zr(11)-O(16) bond length is 2.10 Å. The Zr(11)-O(19) bond length is 2.06 Å. The Zr(11)-O(20) bond length is 2.22 Å. The Zr(11)-O(23) bond length is 2.16 Å. The Zr(11)-O(25) bond length is 2.29 Å. The Zr(11)-O(26) bond length is 2.27 Å. The Zr(11)-O(27) bond length is 2.20 Å. In the twelfth Zr site, Zr(12) is bonded to one O(15), one O(18), one O(20), one O(21), one O(25), one O(27), and one O(28) atom to form a mixture of distorted corner and edge-sharing ZrO7 pentagonal bipyramids. The Zr(12)-O(15) bond length is 2.18 Å. The Zr(12)-O(18) bond length is 2.09 Å. The Zr(12)-O(20) bond length is 2.07 Å. The Zr(12)-O(21) bond length is 2.30 Å. The Zr(12)-O(25) bond length is 2.19 Å. The Zr(12)-O(27) bond length is 2.27 Å. The Zr(12)-O(28) bond length is 2.20 Å. In the thirteenth Zr site, Zr(13) is bonded to one O(1), one O(21), one O(22), one O(24), one O(28), one O(29), and one O(32) atom to form distorted ZrO7 pentagonal bipyramids that share  a cornercorner with one Zr(15)O7 pentagonal bipyramid,  a cornercorner with one V(1)O7 pentagonal bipyramid, corners with two equivalent Zr(1)O7 pentagonal bipyramids,  an edgeedge with one Zr(10)O7 pentagonal bipyramid,  an edgeedge with one Zr(12)O7 pentagonal bipyramid,  an edgeedge with one Zr(15)O7 pentagonal bipyramid,  an edgeedge with one Zr(4)O7 pentagonal bipyramid,  an edgeedge with one V(1)O7 pentagonal bipyramid, and edges with two equivalent Zr(9)O7 pentagonal bipyramids. The Zr(13)-O(1) bond length is 2.09 Å. The Zr(13)-O(21) bond length is 2.20 Å. The Zr(13)-O(22) bond length is 2.26 Å. The Zr(13)-O(24) bond length is 2.15 Å. The Zr(13)-O(28) bond length is 2.29 Å. The Zr(13)-O(29) bond length is 2.11 Å. The Zr(13)-O(32) bond length is 2.19 Å. In the fourteenth Zr site, Zr(14) is bonded to one O(23), one O(25), one O(26), one O(27), one O(3), one O(30), and one O(31) atom to form distorted ZrO7 pentagonal bipyramids that share  a cornercorner with one Zr(15)O7 pentagonal bipyramid,  a cornercorner with one V(1)O7 pentagonal bipyramid, corners with two equivalent Zr(3)O7 pentagonal bipyramids,  an edgeedge with one Zr(10)O7 pentagonal bipyramid,  an edgeedge with one Zr(12)O7 pentagonal bipyramid,  an edgeedge with one Zr(15)O7 pentagonal bipyramid,  an edgeedge with one Zr(2)O7 pentagonal bipyramid,  an edgeedge with one V(1)O7 pentagonal bipyramid, and edges with two equivalent Zr(11)O7 pentagonal bipyramids. The Zr(14)-O(23) bond length is 2.16 Å. The Zr(14)-O(25) bond length is 2.26 Å. The Zr(14)-O(26) bond length is 2.31 Å. The Zr(14)-O(27) bond length is 2.17 Å. The Zr(14)-O(3) bond length is 2.09 Å. The Zr(14)-O(30) bond length is 2.23 Å. The Zr(14)-O(31) bond length is 2.09 Å. In the fifteenth Zr site, Zr(15) is bonded to one O(21), one O(25), one O(27), one O(28), one O(31), one O(32), and one O(4) atom to form a mixture of distorted corner and edge-sharing ZrO7 pentagonal bipyramids. The Zr(15)-O(21) bond length is 2.28 Å. The Zr(15)-O(25) bond length is 2.20 Å. The Zr(15)-O(27) bond length is 2.30 Å. The Zr(15)-O(28) bond length is 2.18 Å. The Zr(15)-O(31) bond length is 2.18 Å. The Zr(15)-O(32) bond length is 2.07 Å. The Zr(15)-O(4) bond length is 2.09 Å. V(1) is bonded to one O(2), one O(22), one O(23), one O(24), one O(26), one O(29), and one O(30) atom to form distorted VO7 pentagonal bipyramids that share  a cornercorner with one Zr(13)O7 pentagonal bipyramid,  a cornercorner with one Zr(14)O7 pentagonal bipyramid, corners with two equivalent Zr(2)O7 pentagonal bipyramids,  an edgeedge with one Zr(1)O7 pentagonal bipyramid,  an edgeedge with one Zr(11)O7 pentagonal bipyramid,  an edgeedge with one Zr(13)O7 pentagonal bipyramid,  an edgeedge with one Zr(14)O7 pentagonal bipyramid,  an edgeedge with one Zr(9)O7 pentagonal bipyramid, and edges with two equivalent Zr(10)O7 pentagonal bipyramids. The V(1)-O(2) bond length is 1.94 Å. The V(1)-O(22) bond length is 2.12 Å. The V(1)-O(23) bond length is 2.31 Å. The V(1)-O(24) bond length is 2.32 Å. The V(1)-O(26) bond length is 2.18 Å. The V(1)-O(29) bond length is 1.99 Å. The V(1)-O(30) bond length is 1.89 Å. There are thirty-two inequivalent O sites. In the first O site, O(1) is bonded in a distorted trigonal non-coplanar geometry to one Zr(1), one Zr(13), and one Zr(4) atom. In the second O site, O(2) is bonded in a distorted T-shaped geometry to one Zr(1), one Zr(2), and one V(1) atom. In the third O site, O(3) is bonded in a distorted trigonal non-coplanar geometry to one Zr(14), one Zr(2), and one Zr(3) atom. In the fourth O site, O(4) is bonded in a distorted trigonal non-coplanar geometry to one Zr(15), one Zr(3), and one Zr(4) atom. In the fifth O site, O(5) is bonded to one Zr(1), one Zr(4), one Zr(5), and one Zr(8) atom to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the sixth O site, O(6) is bonded to one Zr(1), one Zr(2), one Zr(5), and one Zr(6) atom to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the seventh O site, O(7) is bonded to one Zr(2), one Zr(3), one Zr(6), and one Zr(7) atom to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the eighth O site, O(8) is bonded to one Zr(1), one Zr(2), one Zr(5), and one Zr(6) atom to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the ninth O site, O(9) is bonded to one Zr(3), one Zr(4), one Zr(7), and one Zr(8) atom to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the tenth O site, O(10) is bonded to one Zr(2), one Zr(3), one Zr(6), and one Zr(7) atom to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the eleventh O site, O(11) is bonded to one Zr(3), one Zr(4), one Zr(7), and one Zr(8) atom to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the twelfth O site, O(12) is bonded to one Zr(1), one Zr(4), one Zr(5), and one Zr(8) atom to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the thirteenth O site, O(13) is bonded in a distorted trigonal non-coplanar geometry to one Zr(5), one Zr(6), and one Zr(9) atom. In the fourteenth O site, O(14) is bonded in a distorted trigonal non-coplanar geometry to one Zr(10), one Zr(6), and one Zr(7) atom. In the fifteenth O site, O(15) is bonded in a distorted trigonal non-coplanar geometry to one Zr(12), one Zr(5), and one Zr(9) atom. In the sixteenth O site, O(16) is bonded in a distorted trigonal non-coplanar geometry to one Zr(11), one Zr(7), and one Zr(8) atom. In the seventeenth O site, O(17) is bonded in a distorted trigonal non-coplanar geometry to one Zr(10), one Zr(6), and one Zr(9) atom. In the eighteenth O site, O(18) is bonded in a distorted trigonal non-coplanar geometry to one Zr(12), one Zr(5), and one Zr(8) atom. In the nineteenth O site, O(19) is bonded in a distorted trigonal non-coplanar geometry to one Zr(10), one Zr(11), and one Zr(7) atom. In the twentieth O site, O(20) is bonded in a distorted trigonal non-coplanar geometry to one Zr(11), one Zr(12), and one Zr(8) atom. In the twenty-first O site, O(21) is bonded to one Zr(12), one Zr(13), one Zr(15), and one Zr(9) atom to form OZr4 tetrahedra that share corners with two equivalent O(24)Zr3V tetrahedra, corners with two equivalent O(27)Zr4 tetrahedra,  an edgeedge with one O(22)Zr3V tetrahedra,  an edgeedge with one O(25)Zr4 tetrahedra, and edges with two equivalent O(28)Zr4 tetrahedra. In the twenty-second O site, O(22) is bonded to one Zr(10), one Zr(13), one Zr(9), and one V(1) atom to form OZr3V tetrahedra that share corners with two equivalent O(26)Zr3V tetrahedra, corners with two equivalent O(28)Zr4 tetrahedra,  an edgeedge with one O(23)Zr3V tetrahedra,  an edgeedge with one O(21)Zr4 tetrahedra, and edges with two equivalent O(24)Zr3V tetrahedra. In the twenty-third O site, O(23) is bonded to one Zr(10), one Zr(11), one Zr(14), and one V(1) atom to form distorted OZr3V tetrahedra that share corners with two equivalent O(24)Zr3V tetrahedra, corners with two equivalent O(27)Zr4 tetrahedra,  an edgeedge with one O(22)Zr3V tetrahedra,  an edgeedge with one O(25)Zr4 tetrahedra, and edges with two equivalent O(26)Zr3V tetrahedra. In the twenty-fourth O site, O(24) is bonded to one Zr(10), one Zr(13), one Zr(9), and one V(1) atom to form OZr3V tetrahedra that share corners with two equivalent O(23)Zr3V tetrahedra, corners with two equivalent O(21)Zr4 tetrahedra,  an edgeedge with one O(26)Zr3V tetrahedra,  an edgeedge with one O(28)Zr4 tetrahedra, and edges with two equivalent O(22)Zr3V tetrahedra. In the twenty-fifth O site, O(25) is bonded to one Zr(11), one Zr(12), one Zr(14), and one Zr(15) atom to form OZr4 tetrahedra that share corners with two equivalent O(26)Zr3V tetrahedra, corners with two equivalent O(28)Zr4 tetrahedra,  an edgeedge with one O(23)Zr3V tetrahedra,  an edgeedge with one O(21)Zr4 tetrahedra, and edges with two equivalent O(27)Zr4 tetrahedra. In the twenty-sixth O site, O(26) is bonded to one Zr(10), one Zr(11), one Zr(14), and one V(1) atom to form OZr3V tetrahedra that share corners with two equivalent O(22)Zr3V tetrahedra, corners with two equivalent O(25)Zr4 tetrahedra,  an edgeedge with one O(24)Zr3V tetrahedra,  an edgeedge with one O(27)Zr4 tetrahedra, and edges with two equivalent O(23)Zr3V tetrahedra. In the twenty-seventh O site, O(27) is bonded to one Zr(11), one Zr(12), one Zr(14), and one Zr(15) atom to form OZr4 tetrahedra that share corners with two equivalent O(23)Zr3V tetrahedra, corners with two equivalent O(21)Zr4 tetrahedra,  an edgeedge with one O(26)Zr3V tetrahedra,  an edgeedge with one O(28)Zr4 tetrahedra, and edges with two equivalent O(25)Zr4 tetrahedra. In the twenty-eighth O site, O(28) is bonded to one Zr(12), one Zr(13), one Zr(15), and one Zr(9) atom to form OZr4 tetrahedra that share corners with two equivalent O(22)Zr3V tetrahedra, corners with two equivalent O(25)Zr4 tetrahedra,  an edgeedge with one O(24)Zr3V tetrahedra,  an edgeedge with one O(27)Zr4 tetrahedra, and edges with two equivalent O(21)Zr4 tetrahedra. In the twenty-ninth O site, O(29) is bonded in a distorted trigonal planar geometry to one Zr(1), one Zr(13), and one V(1) atom. In the thirtieth O site, O(30) is bonded in a distorted trigonal planar geometry to one Zr(14), one Zr(2), and one V(1) atom. In the thirty-first O site, O(31) is bonded in a distorted trigonal non-coplanar geometry to one Zr(14), one Zr(15), and one Zr(3) atom. In the thirty-second O site, O(32) is bonded in a distorted trigonal non-coplanar geometry to one Zr(13), one Zr(15), and one Zr(4) atom.