Zr11VO24 is Baddeleyite-derived structured and crystallizes in the triclinic P1 space group. There are eleven inequivalent Zr sites. In the first Zr site, Zr(1) is bonded to one O(1), one O(10), one O(16), one O(22), one O(3), one O(7), and one O(9) atom to form a mixture of distorted corner and edge-sharing ZrO7 pentagonal bipyramids. In the second Zr site, Zr(2) is bonded to one O(1), one O(10), one O(12), one O(2), one O(4), one O(6), and one O(8) atom to form a mixture of distorted corner and edge-sharing ZrO7 pentagonal bipyramids. In the third Zr site, Zr(3) is bonded to one O(1), one O(12), one O(20), one O(24), one O(3), one O(5), 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(11), one O(12), one O(15), one O(2), 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 fifth Zr site, Zr(5) is bonded to one O(10), one O(15), one O(17), one O(18), one O(21), 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(11), one O(13), one O(14), one O(16), one O(23), one O(4), and one O(7) 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(12), one O(15), one O(18), one O(2), one O(21), 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(13), one O(15), one O(17), one O(19), one O(20), and one O(23) 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(1), one O(13), one O(16), one O(20), one O(22), one O(24), and one O(5) atom to form a mixture of distorted corner and edge-sharing ZrO7 pentagonal bipyramids. In the tenth Zr site, Zr(10) is bonded to one O(13), one O(14), one O(17), one O(19), one O(21), one O(23), and one O(24) atom to form a mixture of distorted corner and edge-sharing ZrO7 pentagonal bipyramids. In the eleventh Zr site, Zr(11) is bonded to one O(14), one O(16), one O(18), one O(22), one O(24), one O(3), and one O(9) atom to form a mixture of distorted corner and edge-sharing ZrO7 pentagonal bipyramids. V(1) is bonded in a 7-coordinate geometry to one O(11), one O(14), one O(17), one O(19), one O(4), one O(7), and one O(8) atom. There are twenty-four inequivalent O sites. In the first O site, O(1) is bonded to one Zr(1), one Zr(2), one Zr(3), and one Zr(9) atom to form OZr4 tetrahedra that share  a cornercorner with one O(8)Zr3V tetrahedra,  a cornercorner with one O(13)Zr4 tetrahedra, corners with two equivalent O(9)Zr4 tetrahedra,  an edgeedge with one O(10)Zr4 tetrahedra,  an edgeedge with one O(12)Zr4 tetrahedra,  an edgeedge with one O(16)Zr4 tetrahedra, and  an edgeedge with one O(24)Zr4 tetrahedra. In the second O site, O(2) is bonded in a distorted trigonal non-coplanar geometry to one Zr(2), one Zr(4), and one Zr(7) atom. In the third O site, O(3) is bonded in a distorted trigonal non-coplanar geometry to one Zr(1), one Zr(11), and one Zr(3) atom. In the fourth O site, O(4) is bonded in a distorted trigonal planar geometry to one Zr(2), one Zr(6), and one V(1) atom. In the fifth O site, O(5) is bonded in a distorted trigonal non-coplanar geometry to one Zr(3), one Zr(4), and one Zr(9) atom. In the sixth O site, O(6) is bonded in a distorted trigonal non-coplanar geometry to one Zr(2), one Zr(4), and one Zr(5) atom. In the seventh O site, O(7) is bonded in a 3-coordinate geometry to one Zr(1), one Zr(6), and one V(1) atom. In the eighth O site, O(8) is bonded to one Zr(2), one Zr(4), one Zr(5), and one V(1) atom to form OZr3V tetrahedra that share  a cornercorner with one O(14)Zr3V tetrahedra,  a cornercorner with one O(1)Zr4 tetrahedra, corners with two equivalent O(15)Zr4 tetrahedra,  an edgeedge with one O(11)Zr3V tetrahedra,  an edgeedge with one O(17)Zr3V tetrahedra,  an edgeedge with one O(10)Zr4 tetrahedra, and  an edgeedge with one O(12)Zr4 tetrahedra. In the ninth O site, O(9) is bonded to one Zr(1), one Zr(11), one Zr(3), and one Zr(7) atom to form OZr4 tetrahedra that share  a cornercorner with one O(14)Zr3V tetrahedra,  a cornercorner with one O(15)Zr4 tetrahedra, corners with two equivalent O(1)Zr4 tetrahedra,  an edgeedge with one O(10)Zr4 tetrahedra,  an edgeedge with one O(12)Zr4 tetrahedra,  an edgeedge with one O(16)Zr4 tetrahedra, and  an edgeedge with one O(24)Zr4 tetrahedra. In the tenth O site, O(10) is bonded to one Zr(1), one Zr(2), one Zr(5), and one Zr(7) atom to form OZr4 tetrahedra that share  a cornercorner with one O(17)Zr3V tetrahedra,  a cornercorner with one O(16)Zr4 tetrahedra, corners with two equivalent O(12)Zr4 tetrahedra,  an edgeedge with one O(8)Zr3V tetrahedra,  an edgeedge with one O(1)Zr4 tetrahedra,  an edgeedge with one O(15)Zr4 tetrahedra, and  an edgeedge with one O(9)Zr4 tetrahedra. In the eleventh O site, O(11) is bonded to one Zr(4), one Zr(6), one Zr(8), and one V(1) atom to form distorted OZr3V tetrahedra that share  a cornercorner with one O(12)Zr4 tetrahedra,  a cornercorner with one O(16)Zr4 tetrahedra, corners with two equivalent O(17)Zr3V tetrahedra,  an edgeedge with one O(14)Zr3V tetrahedra,  an edgeedge with one O(8)Zr3V tetrahedra,  an edgeedge with one O(13)Zr4 tetrahedra, and  an edgeedge with one O(15)Zr4 tetrahedra. In the twelfth O site, O(12) is bonded to one Zr(2), one Zr(3), one Zr(4), and one Zr(7) atom to form OZr4 tetrahedra that share  a cornercorner with one O(11)Zr3V tetrahedra,  a cornercorner with one O(24)Zr4 tetrahedra, corners with two equivalent O(10)Zr4 tetrahedra,  an edgeedge with one O(8)Zr3V tetrahedra,  an edgeedge with one O(1)Zr4 tetrahedra,  an edgeedge with one O(15)Zr4 tetrahedra, and  an edgeedge with one O(9)Zr4 tetrahedra. In the thirteenth O site, O(13) is bonded to one Zr(10), one Zr(6), one Zr(8), and one Zr(9) atom to form OZr4 tetrahedra that share  a cornercorner with one O(1)Zr4 tetrahedra,  a cornercorner with one O(15)Zr4 tetrahedra, corners with two equivalent O(14)Zr3V tetrahedra,  an edgeedge with one O(11)Zr3V tetrahedra,  an edgeedge with one O(17)Zr3V tetrahedra,  an edgeedge with one O(16)Zr4 tetrahedra, and  an edgeedge with one O(24)Zr4 tetrahedra. In the fourteenth O site, O(14) is bonded to one Zr(10), one Zr(11), one Zr(6), and one V(1) atom to form OZr3V tetrahedra that share  a cornercorner with one O(8)Zr3V tetrahedra,  a cornercorner with one O(9)Zr4 tetrahedra, corners with two equivalent O(13)Zr4 tetrahedra,  an edgeedge with one O(11)Zr3V tetrahedra,  an edgeedge with one O(17)Zr3V tetrahedra,  an edgeedge with one O(16)Zr4 tetrahedra, and  an edgeedge with one O(24)Zr4 tetrahedra. In the fifteenth O site, O(15) is bonded to one Zr(4), one Zr(5), one Zr(7), and one Zr(8) atom to form OZr4 tetrahedra that share  a cornercorner with one O(13)Zr4 tetrahedra,  a cornercorner with one O(9)Zr4 tetrahedra, corners with two equivalent O(8)Zr3V tetrahedra,  an edgeedge with one O(11)Zr3V tetrahedra,  an edgeedge with one O(17)Zr3V tetrahedra,  an edgeedge with one O(10)Zr4 tetrahedra, and  an edgeedge with one O(12)Zr4 tetrahedra. In the sixteenth O site, O(16) is bonded to one Zr(1), one Zr(11), one Zr(6), and one Zr(9) atom to form OZr4 tetrahedra that share  a cornercorner with one O(11)Zr3V tetrahedra,  a cornercorner with one O(10)Zr4 tetrahedra, corners with two equivalent O(24)Zr4 tetrahedra,  an edgeedge with one O(14)Zr3V tetrahedra,  an edgeedge with one O(1)Zr4 tetrahedra,  an edgeedge with one O(13)Zr4 tetrahedra, and  an edgeedge with one O(9)Zr4 tetrahedra. In the seventeenth O site, O(17) is bonded to one Zr(10), one Zr(5), one Zr(8), and one V(1) atom to form OZr3V tetrahedra that share  a cornercorner with one O(10)Zr4 tetrahedra,  a cornercorner with one O(24)Zr4 tetrahedra, corners with two equivalent O(11)Zr3V tetrahedra,  an edgeedge with one O(14)Zr3V tetrahedra,  an edgeedge with one O(8)Zr3V tetrahedra,  an edgeedge with one O(13)Zr4 tetrahedra, and  an edgeedge with one O(15)Zr4 tetrahedra. In the eighteenth O site, O(18) is bonded in a distorted trigonal non-coplanar geometry to one Zr(11), one Zr(5), and one Zr(7) atom. In the nineteenth O site, O(19) is bonded in a distorted trigonal planar geometry to one Zr(10), one Zr(8), and one V(1) atom. In the twentieth O site, O(20) is bonded in a distorted trigonal non-coplanar geometry to one Zr(3), one Zr(8), and one Zr(9) atom. In the twenty-first O site, O(21) is bonded in a distorted trigonal non-coplanar geometry to one Zr(10), one Zr(5), and one Zr(7) atom. In the twenty-second O site, O(22) is bonded in a distorted trigonal non-coplanar geometry to one Zr(1), one Zr(11), and one Zr(9) atom. In the twenty-third O site, O(23) is bonded in a distorted trigonal non-coplanar geometry to one Zr(10), one Zr(6), and one Zr(8) atom. In the twenty-fourth O site, O(24) is bonded to one Zr(10), one Zr(11), one Zr(3), and one Zr(9) atom to form OZr4 tetrahedra that share  a cornercorner with one O(17)Zr3V tetrahedra,  a cornercorner with one O(12)Zr4 tetrahedra, corners with two equivalent O(16)Zr4 tetrahedra,  an edgeedge with one O(14)Zr3V tetrahedra,  an edgeedge with one O(1)Zr4 tetrahedra,  an edgeedge with one O(13)Zr4 tetrahedra, and  an edgeedge with one O(9)Zr4 tetrahedra.
Zr11VO24 is Baddeleyite-derived structured and crystallizes in the triclinic P1 space group. There are eleven inequivalent Zr sites. In the first Zr site, Zr(1) is bonded to one O(1), one O(10), one O(16), one O(22), one O(3), one O(7), and one O(9) atom to form a mixture of distorted corner and edge-sharing ZrO7 pentagonal bipyramids. The Zr(1)-O(1) bond length is 2.20 Å. The Zr(1)-O(10) bond length is 2.30 Å. The Zr(1)-O(16) bond length is 2.25 Å. The Zr(1)-O(22) bond length is 2.07 Å. The Zr(1)-O(3) bond length is 2.16 Å. The Zr(1)-O(7) bond length is 2.11 Å. The Zr(1)-O(9) bond length is 2.20 Å. In the second Zr site, Zr(2) is bonded to one O(1), one O(10), one O(12), one O(2), one O(4), one O(6), and one O(8) atom to form a mixture of distorted corner and edge-sharing ZrO7 pentagonal bipyramids. The Zr(2)-O(1) bond length is 2.30 Å. The Zr(2)-O(10) bond length is 2.20 Å. The Zr(2)-O(12) bond length is 2.16 Å. The Zr(2)-O(2) bond length is 2.18 Å. The Zr(2)-O(4) bond length is 2.10 Å. The Zr(2)-O(6) bond length is 2.08 Å. The Zr(2)-O(8) bond length is 2.27 Å. In the third Zr site, Zr(3) is bonded to one O(1), one O(12), one O(20), one O(24), one O(3), one O(5), and one O(9) atom to form a mixture of distorted corner and edge-sharing ZrO7 pentagonal bipyramids. The Zr(3)-O(1) bond length is 2.28 Å. The Zr(3)-O(12) bond length is 2.20 Å. The Zr(3)-O(20) bond length is 2.08 Å. The Zr(3)-O(24) bond length is 2.18 Å. The Zr(3)-O(3) bond length is 2.07 Å. The Zr(3)-O(5) bond length is 2.18 Å. The Zr(3)-O(9) bond length is 2.28 Å. In the fourth Zr site, Zr(4) is bonded to one O(11), one O(12), one O(15), one O(2), 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(4)-O(11) bond length is 2.24 Å. The Zr(4)-O(12) bond length is 2.26 Å. The Zr(4)-O(15) bond length is 2.19 Å. The Zr(4)-O(2) bond length is 2.09 Å. The Zr(4)-O(5) bond length is 2.10 Å. The Zr(4)-O(6) bond length is 2.19 Å. The Zr(4)-O(8) bond length is 2.18 Å. In the fifth Zr site, Zr(5) is bonded to one O(10), one O(15), one O(17), one O(18), one O(21), 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(10) bond length is 2.18 Å. The Zr(5)-O(15) bond length is 2.28 Å. The Zr(5)-O(17) bond length is 2.19 Å. The Zr(5)-O(18) bond length is 2.11 Å. The Zr(5)-O(21) bond length is 2.18 Å. The Zr(5)-O(6) bond length is 2.08 Å. The Zr(5)-O(8) bond length is 2.29 Å. In the sixth Zr site, Zr(6) is bonded to one O(11), one O(13), one O(14), one O(16), one O(23), one O(4), and one O(7) atom to form a mixture of distorted corner and edge-sharing ZrO7 pentagonal bipyramids. The Zr(6)-O(11) bond length is 2.14 Å. The Zr(6)-O(13) bond length is 2.29 Å. The Zr(6)-O(14) bond length is 2.27 Å. The Zr(6)-O(16) bond length is 2.17 Å. The Zr(6)-O(23) bond length is 2.08 Å. The Zr(6)-O(4) bond length is 2.10 Å. The Zr(6)-O(7) bond length is 2.26 Å. In the seventh Zr site, Zr(7) is bonded to one O(10), one O(12), one O(15), one O(18), one O(2), one O(21), 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 2.28 Å. The Zr(7)-O(12) bond length is 2.30 Å. The Zr(7)-O(15) bond length is 2.18 Å. The Zr(7)-O(18) bond length is 2.17 Å. The Zr(7)-O(2) bond length is 2.06 Å. The Zr(7)-O(21) bond length is 2.09 Å. The Zr(7)-O(9) bond length is 2.20 Å. In the eighth Zr site, Zr(8) is bonded to one O(11), one O(13), one O(15), one O(17), one O(19), one O(20), and one O(23) atom to form a mixture of distorted corner and edge-sharing ZrO7 pentagonal bipyramids. The Zr(8)-O(11) bond length is 2.17 Å. The Zr(8)-O(13) bond length is 2.25 Å. The Zr(8)-O(15) bond length is 2.28 Å. The Zr(8)-O(17) bond length is 2.18 Å. The Zr(8)-O(19) bond length is 2.22 Å. The Zr(8)-O(20) bond length is 2.07 Å. The Zr(8)-O(23) bond length is 2.10 Å. In the ninth Zr site, Zr(9) is bonded to one O(1), one O(13), one O(16), one O(20), one O(22), one O(24), and one O(5) atom to form a mixture of distorted corner and edge-sharing ZrO7 pentagonal bipyramids. The Zr(9)-O(1) bond length is 2.17 Å. The Zr(9)-O(13) bond length is 2.21 Å. The Zr(9)-O(16) bond length is 2.30 Å. The Zr(9)-O(20) bond length is 2.18 Å. The Zr(9)-O(22) bond length is 2.06 Å. The Zr(9)-O(24) bond length is 2.28 Å. The Zr(9)-O(5) bond length is 2.08 Å. In the tenth Zr site, Zr(10) is bonded to one O(13), one O(14), one O(17), one O(19), one O(21), one O(23), and one O(24) atom to form a mixture of distorted corner and edge-sharing ZrO7 pentagonal bipyramids. The Zr(10)-O(13) bond length is 2.18 Å. The Zr(10)-O(14) bond length is 2.18 Å. The Zr(10)-O(17) bond length is 2.21 Å. The Zr(10)-O(19) bond length is 2.23 Å. The Zr(10)-O(21) bond length is 2.06 Å. The Zr(10)-O(23) bond length is 2.17 Å. The Zr(10)-O(24) bond length is 2.28 Å. In the eleventh Zr site, Zr(11) is bonded to one O(14), one O(16), one O(18), one O(22), one O(24), one O(3), and one O(9) atom to form a mixture of distorted corner and edge-sharing ZrO7 pentagonal bipyramids. The Zr(11)-O(14) bond length is 2.30 Å. The Zr(11)-O(16) bond length is 2.20 Å. The Zr(11)-O(18) bond length is 2.09 Å. The Zr(11)-O(22) bond length is 2.18 Å. The Zr(11)-O(24) bond length is 2.19 Å. The Zr(11)-O(3) bond length is 2.08 Å. The Zr(11)-O(9) bond length is 2.27 Å. V(1) is bonded in a 7-coordinate geometry to one O(11), one O(14), one O(17), one O(19), one O(4), one O(7), and one O(8) atom. The V(1)-O(11) bond length is 2.36 Å. The V(1)-O(14) bond length is 2.23 Å. The V(1)-O(17) bond length is 2.33 Å. The V(1)-O(19) bond length is 1.88 Å. The V(1)-O(4) bond length is 1.99 Å. The V(1)-O(7) bond length is 1.92 Å. The V(1)-O(8) bond length is 2.13 Å. There are twenty-four inequivalent O sites. In the first O site, O(1) is bonded to one Zr(1), one Zr(2), one Zr(3), and one Zr(9) atom to form OZr4 tetrahedra that share  a cornercorner with one O(8)Zr3V tetrahedra,  a cornercorner with one O(13)Zr4 tetrahedra, corners with two equivalent O(9)Zr4 tetrahedra,  an edgeedge with one O(10)Zr4 tetrahedra,  an edgeedge with one O(12)Zr4 tetrahedra,  an edgeedge with one O(16)Zr4 tetrahedra, and  an edgeedge with one O(24)Zr4 tetrahedra. In the second O site, O(2) is bonded in a distorted trigonal non-coplanar geometry to one Zr(2), one Zr(4), and one Zr(7) atom. In the third O site, O(3) is bonded in a distorted trigonal non-coplanar geometry to one Zr(1), one Zr(11), and one Zr(3) atom. In the fourth O site, O(4) is bonded in a distorted trigonal planar geometry to one Zr(2), one Zr(6), and one V(1) atom. In the fifth O site, O(5) is bonded in a distorted trigonal non-coplanar geometry to one Zr(3), one Zr(4), and one Zr(9) atom. In the sixth O site, O(6) is bonded in a distorted trigonal non-coplanar geometry to one Zr(2), one Zr(4), and one Zr(5) atom. In the seventh O site, O(7) is bonded in a 3-coordinate geometry to one Zr(1), one Zr(6), and one V(1) atom. In the eighth O site, O(8) is bonded to one Zr(2), one Zr(4), one Zr(5), and one V(1) atom to form OZr3V tetrahedra that share  a cornercorner with one O(14)Zr3V tetrahedra,  a cornercorner with one O(1)Zr4 tetrahedra, corners with two equivalent O(15)Zr4 tetrahedra,  an edgeedge with one O(11)Zr3V tetrahedra,  an edgeedge with one O(17)Zr3V tetrahedra,  an edgeedge with one O(10)Zr4 tetrahedra, and  an edgeedge with one O(12)Zr4 tetrahedra. In the ninth O site, O(9) is bonded to one Zr(1), one Zr(11), one Zr(3), and one Zr(7) atom to form OZr4 tetrahedra that share  a cornercorner with one O(14)Zr3V tetrahedra,  a cornercorner with one O(15)Zr4 tetrahedra, corners with two equivalent O(1)Zr4 tetrahedra,  an edgeedge with one O(10)Zr4 tetrahedra,  an edgeedge with one O(12)Zr4 tetrahedra,  an edgeedge with one O(16)Zr4 tetrahedra, and  an edgeedge with one O(24)Zr4 tetrahedra. In the tenth O site, O(10) is bonded to one Zr(1), one Zr(2), one Zr(5), and one Zr(7) atom to form OZr4 tetrahedra that share  a cornercorner with one O(17)Zr3V tetrahedra,  a cornercorner with one O(16)Zr4 tetrahedra, corners with two equivalent O(12)Zr4 tetrahedra,  an edgeedge with one O(8)Zr3V tetrahedra,  an edgeedge with one O(1)Zr4 tetrahedra,  an edgeedge with one O(15)Zr4 tetrahedra, and  an edgeedge with one O(9)Zr4 tetrahedra. In the eleventh O site, O(11) is bonded to one Zr(4), one Zr(6), one Zr(8), and one V(1) atom to form distorted OZr3V tetrahedra that share  a cornercorner with one O(12)Zr4 tetrahedra,  a cornercorner with one O(16)Zr4 tetrahedra, corners with two equivalent O(17)Zr3V tetrahedra,  an edgeedge with one O(14)Zr3V tetrahedra,  an edgeedge with one O(8)Zr3V tetrahedra,  an edgeedge with one O(13)Zr4 tetrahedra, and  an edgeedge with one O(15)Zr4 tetrahedra. In the twelfth O site, O(12) is bonded to one Zr(2), one Zr(3), one Zr(4), and one Zr(7) atom to form OZr4 tetrahedra that share  a cornercorner with one O(11)Zr3V tetrahedra,  a cornercorner with one O(24)Zr4 tetrahedra, corners with two equivalent O(10)Zr4 tetrahedra,  an edgeedge with one O(8)Zr3V tetrahedra,  an edgeedge with one O(1)Zr4 tetrahedra,  an edgeedge with one O(15)Zr4 tetrahedra, and  an edgeedge with one O(9)Zr4 tetrahedra. In the thirteenth O site, O(13) is bonded to one Zr(10), one Zr(6), one Zr(8), and one Zr(9) atom to form OZr4 tetrahedra that share  a cornercorner with one O(1)Zr4 tetrahedra,  a cornercorner with one O(15)Zr4 tetrahedra, corners with two equivalent O(14)Zr3V tetrahedra,  an edgeedge with one O(11)Zr3V tetrahedra,  an edgeedge with one O(17)Zr3V tetrahedra,  an edgeedge with one O(16)Zr4 tetrahedra, and  an edgeedge with one O(24)Zr4 tetrahedra. In the fourteenth O site, O(14) is bonded to one Zr(10), one Zr(11), one Zr(6), and one V(1) atom to form OZr3V tetrahedra that share  a cornercorner with one O(8)Zr3V tetrahedra,  a cornercorner with one O(9)Zr4 tetrahedra, corners with two equivalent O(13)Zr4 tetrahedra,  an edgeedge with one O(11)Zr3V tetrahedra,  an edgeedge with one O(17)Zr3V tetrahedra,  an edgeedge with one O(16)Zr4 tetrahedra, and  an edgeedge with one O(24)Zr4 tetrahedra. In the fifteenth O site, O(15) is bonded to one Zr(4), one Zr(5), one Zr(7), and one Zr(8) atom to form OZr4 tetrahedra that share  a cornercorner with one O(13)Zr4 tetrahedra,  a cornercorner with one O(9)Zr4 tetrahedra, corners with two equivalent O(8)Zr3V tetrahedra,  an edgeedge with one O(11)Zr3V tetrahedra,  an edgeedge with one O(17)Zr3V tetrahedra,  an edgeedge with one O(10)Zr4 tetrahedra, and  an edgeedge with one O(12)Zr4 tetrahedra. In the sixteenth O site, O(16) is bonded to one Zr(1), one Zr(11), one Zr(6), and one Zr(9) atom to form OZr4 tetrahedra that share  a cornercorner with one O(11)Zr3V tetrahedra,  a cornercorner with one O(10)Zr4 tetrahedra, corners with two equivalent O(24)Zr4 tetrahedra,  an edgeedge with one O(14)Zr3V tetrahedra,  an edgeedge with one O(1)Zr4 tetrahedra,  an edgeedge with one O(13)Zr4 tetrahedra, and  an edgeedge with one O(9)Zr4 tetrahedra. In the seventeenth O site, O(17) is bonded to one Zr(10), one Zr(5), one Zr(8), and one V(1) atom to form OZr3V tetrahedra that share  a cornercorner with one O(10)Zr4 tetrahedra,  a cornercorner with one O(24)Zr4 tetrahedra, corners with two equivalent O(11)Zr3V tetrahedra,  an edgeedge with one O(14)Zr3V tetrahedra,  an edgeedge with one O(8)Zr3V tetrahedra,  an edgeedge with one O(13)Zr4 tetrahedra, and  an edgeedge with one O(15)Zr4 tetrahedra. In the eighteenth O site, O(18) is bonded in a distorted trigonal non-coplanar geometry to one Zr(11), one Zr(5), and one Zr(7) atom. In the nineteenth O site, O(19) is bonded in a distorted trigonal planar geometry to one Zr(10), one Zr(8), and one V(1) atom. In the twentieth O site, O(20) is bonded in a distorted trigonal non-coplanar geometry to one Zr(3), one Zr(8), and one Zr(9) atom. In the twenty-first O site, O(21) is bonded in a distorted trigonal non-coplanar geometry to one Zr(10), one Zr(5), and one Zr(7) atom. In the twenty-second O site, O(22) is bonded in a distorted trigonal non-coplanar geometry to one Zr(1), one Zr(11), and one Zr(9) atom. In the twenty-third O site, O(23) is bonded in a distorted trigonal non-coplanar geometry to one Zr(10), one Zr(6), and one Zr(8) atom. In the twenty-fourth O site, O(24) is bonded to one Zr(10), one Zr(11), one Zr(3), and one Zr(9) atom to form OZr4 tetrahedra that share  a cornercorner with one O(17)Zr3V tetrahedra,  a cornercorner with one O(12)Zr4 tetrahedra, corners with two equivalent O(16)Zr4 tetrahedra,  an edgeedge with one O(14)Zr3V tetrahedra,  an edgeedge with one O(1)Zr4 tetrahedra,  an edgeedge with one O(13)Zr4 tetrahedra, and  an edgeedge with one O(9)Zr4 tetrahedra.