Zr9VO20 crystallizes in the triclinic P1 space group. There are nine inequivalent Zr sites. In the first Zr site, Zr(1) is bonded in a distorted body-centered cubic geometry to one O(1), one O(10), one O(11), one O(19), one O(2), one O(3), one O(4), and one O(6) atom. In the second Zr site, Zr(2) is bonded in a distorted body-centered cubic geometry to one O(11), one O(15), one O(17), one O(2), one O(4), one O(5), one O(6), and one O(8) atom. In the third Zr site, Zr(3) is bonded in a distorted body-centered cubic geometry to one O(1), one O(12), one O(13), one O(16), one O(6), one O(7), one O(8), and one O(9) atom. In the fourth Zr site, Zr(4) is bonded in a distorted body-centered cubic geometry to one O(10), one O(14), one O(17), one O(19), one O(2), one O(3), one O(7), and one O(9) atom. In the fifth Zr site, Zr(5) is bonded in a distorted body-centered cubic geometry to one O(12), one O(13), one O(2), one O(20), one O(3), one O(5), one O(7), and one O(9) atom. In the sixth Zr site, Zr(6) is bonded in a distorted body-centered cubic geometry to one O(14), one O(15), one O(16), one O(17), one O(19), one O(4), one O(5), and one O(7) atom. In the seventh Zr site, Zr(7) is bonded in a 8-coordinate geometry to one O(10), one O(12), one O(13), one O(15), one O(17), one O(18), one O(6), and one O(8) atom. In the eighth Zr site, Zr(8) is bonded in a 8-coordinate geometry to one O(13), one O(14), one O(16), one O(18), one O(20), one O(3), one O(4), and one O(5) atom. In the ninth Zr site, Zr(9) is bonded in a distorted body-centered cubic geometry to one O(1), one O(10), one O(11), one O(12), one O(15), one O(18), one O(19), and one O(20) atom. V(1) is bonded in a distorted tetrahedral geometry to one O(1), one O(14), one O(16), one O(18), one O(20), one O(8), and one O(9) atom. There are twenty inequivalent O sites. In the first O site, O(1) is bonded in a 4-coordinate geometry to one Zr(1), one Zr(3), one Zr(9), and one V(1) atom. In the second O site, O(2) is bonded to one Zr(1), one Zr(2), one Zr(4), and one Zr(5) atom to form distorted OZr4 tetrahedra that share  a cornercorner with one O(12)Zr4 tetrahedra,  a cornercorner with one O(13)Zr4 tetrahedra,  a cornercorner with one O(15)Zr4 tetrahedra,  a cornercorner with one O(3)Zr4 tetrahedra, corners with two equivalent O(10)Zr4 tetrahedra, corners with two equivalent O(4)Zr4 tetrahedra, corners with two equivalent O(7)Zr4 tetrahedra,  an edgeedge with one O(9)Zr3V tetrahedra,  an edgeedge with one O(17)Zr4 tetrahedra,  an edgeedge with one O(19)Zr4 tetrahedra,  an edgeedge with one O(3)Zr4 tetrahedra, and  an edgeedge with one O(5)Zr4 tetrahedra. In the third O site, O(3) is bonded to one Zr(1), one Zr(4), one Zr(5), and one Zr(8) atom to form distorted OZr4 tetrahedra that share  a cornercorner with one O(12)Zr4 tetrahedra,  a cornercorner with one O(17)Zr4 tetrahedra,  a cornercorner with one O(2)Zr4 tetrahedra, corners with two equivalent O(9)Zr3V tetrahedra, corners with two equivalent O(13)Zr4 tetrahedra, corners with two equivalent O(19)Zr4 tetrahedra, corners with two equivalent O(5)Zr4 tetrahedra,  an edgeedge with one O(10)Zr4 tetrahedra,  an edgeedge with one O(2)Zr4 tetrahedra,  an edgeedge with one O(4)Zr4 tetrahedra, and  an edgeedge with one O(7)Zr4 tetrahedra. In the fourth O site, O(4) is bonded to one Zr(1), one Zr(2), one Zr(6), and one Zr(8) atom to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the fifth O site, O(5) is bonded to one Zr(2), one Zr(5), one Zr(6), and one Zr(8) atom to form distorted OZr4 tetrahedra that share  a cornercorner with one O(9)Zr3V tetrahedra,  a cornercorner with one O(12)Zr4 tetrahedra,  a cornercorner with one O(19)Zr4 tetrahedra,  a cornercorner with one O(4)Zr4 tetrahedra, corners with two equivalent O(17)Zr4 tetrahedra, corners with two equivalent O(3)Zr4 tetrahedra,  an edgeedge with one O(13)Zr4 tetrahedra,  an edgeedge with one O(15)Zr4 tetrahedra,  an edgeedge with one O(2)Zr4 tetrahedra,  an edgeedge with one O(4)Zr4 tetrahedra, and  an edgeedge with one O(7)Zr4 tetrahedra. In the sixth O site, O(6) is bonded in a 4-coordinate geometry to one Zr(1), one Zr(2), one Zr(3), and one Zr(7) atom. In the seventh O site, O(7) is bonded to one Zr(3), one Zr(4), one Zr(5), and one Zr(6) atom to form distorted OZr4 tetrahedra that share  a cornercorner with one O(9)Zr3V tetrahedra,  a cornercorner with one O(10)Zr4 tetrahedra,  a cornercorner with one O(15)Zr4 tetrahedra,  a cornercorner with one O(4)Zr4 tetrahedra, corners with two equivalent O(13)Zr4 tetrahedra, corners with two equivalent O(19)Zr4 tetrahedra, corners with two equivalent O(2)Zr4 tetrahedra,  an edgeedge with one O(9)Zr3V tetrahedra,  an edgeedge with one O(12)Zr4 tetrahedra,  an edgeedge with one O(17)Zr4 tetrahedra,  an edgeedge with one O(3)Zr4 tetrahedra, and  an edgeedge with one O(5)Zr4 tetrahedra. In the eighth O site, O(8) is bonded in a distorted bent 120 degrees geometry to one Zr(2), one Zr(3), one Zr(7), and one V(1) atom. In the ninth O site, O(9) is bonded to one Zr(3), one Zr(4), one Zr(5), and one V(1) atom to form a mixture of distorted corner and edge-sharing OZr3V tetrahedra. In the tenth O site, O(10) is bonded to one Zr(1), one Zr(4), one Zr(7), and one Zr(9) atom to form distorted OZr4 tetrahedra that share  a cornercorner with one O(9)Zr3V tetrahedra,  a cornercorner with one O(13)Zr4 tetrahedra,  a cornercorner with one O(19)Zr4 tetrahedra,  a cornercorner with one O(4)Zr4 tetrahedra,  a cornercorner with one O(7)Zr4 tetrahedra, corners with two equivalent O(15)Zr4 tetrahedra, corners with two equivalent O(2)Zr4 tetrahedra,  an edgeedge with one O(12)Zr4 tetrahedra,  an edgeedge with one O(17)Zr4 tetrahedra,  an edgeedge with one O(19)Zr4 tetrahedra, and  an edgeedge with one O(3)Zr4 tetrahedra. In the eleventh O site, O(11) is bonded in a 3-coordinate geometry to one Zr(1), one Zr(2), and one Zr(9) atom. In the twelfth O site, O(12) is bonded to one Zr(3), one Zr(5), one Zr(7), and one Zr(9) atom to form distorted OZr4 tetrahedra that share  a cornercorner with one O(13)Zr4 tetrahedra,  a cornercorner with one O(17)Zr4 tetrahedra,  a cornercorner with one O(19)Zr4 tetrahedra,  a cornercorner with one O(2)Zr4 tetrahedra,  a cornercorner with one O(3)Zr4 tetrahedra,  a cornercorner with one O(5)Zr4 tetrahedra, corners with two equivalent O(9)Zr3V tetrahedra, corners with two equivalent O(15)Zr4 tetrahedra,  an edgeedge with one O(10)Zr4 tetrahedra,  an edgeedge with one O(13)Zr4 tetrahedra, and  an edgeedge with one O(7)Zr4 tetrahedra. In the thirteenth O site, O(13) is bonded to one Zr(3), one Zr(5), one Zr(7), and one Zr(8) atom to form distorted OZr4 tetrahedra that share  a cornercorner with one O(10)Zr4 tetrahedra,  a cornercorner with one O(12)Zr4 tetrahedra,  a cornercorner with one O(15)Zr4 tetrahedra,  a cornercorner with one O(17)Zr4 tetrahedra,  a cornercorner with one O(2)Zr4 tetrahedra,  a cornercorner with one O(4)Zr4 tetrahedra, corners with two equivalent O(3)Zr4 tetrahedra, corners with two equivalent O(7)Zr4 tetrahedra,  an edgeedge with one O(9)Zr3V tetrahedra,  an edgeedge with one O(12)Zr4 tetrahedra, and  an edgeedge with one O(5)Zr4 tetrahedra. In the fourteenth O site, O(14) is bonded in a 4-coordinate geometry to one Zr(4), one Zr(6), one Zr(8), and one V(1) atom. In the fifteenth O site, O(15) is bonded to one Zr(2), one Zr(6), one Zr(7), and one Zr(9) atom to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the sixteenth O site, O(16) is bonded in a 4-coordinate geometry to one Zr(3), one Zr(6), one Zr(8), and one V(1) atom. In the seventeenth O site, O(17) is bonded to one Zr(2), one Zr(4), one Zr(6), and one Zr(7) atom to form distorted OZr4 tetrahedra that share  a cornercorner with one O(9)Zr3V tetrahedra,  a cornercorner with one O(12)Zr4 tetrahedra,  a cornercorner with one O(13)Zr4 tetrahedra,  a cornercorner with one O(15)Zr4 tetrahedra,  a cornercorner with one O(3)Zr4 tetrahedra, corners with two equivalent O(19)Zr4 tetrahedra, corners with two equivalent O(5)Zr4 tetrahedra,  an edgeedge with one O(10)Zr4 tetrahedra,  an edgeedge with one O(15)Zr4 tetrahedra,  an edgeedge with one O(2)Zr4 tetrahedra,  an edgeedge with one O(4)Zr4 tetrahedra, and  an edgeedge with one O(7)Zr4 tetrahedra. In the eighteenth O site, O(18) is bonded in a 4-coordinate geometry to one Zr(7), one Zr(8), one Zr(9), and one V(1) atom. In the nineteenth O site, O(19) is bonded to one Zr(1), one Zr(4), one Zr(6), and one Zr(9) atom to form distorted OZr4 tetrahedra that share  a cornercorner with one O(9)Zr3V tetrahedra,  a cornercorner with one O(10)Zr4 tetrahedra,  a cornercorner with one O(12)Zr4 tetrahedra,  a cornercorner with one O(5)Zr4 tetrahedra, corners with two equivalent O(17)Zr4 tetrahedra, corners with two equivalent O(3)Zr4 tetrahedra, corners with two equivalent O(7)Zr4 tetrahedra,  an edgeedge with one O(10)Zr4 tetrahedra,  an edgeedge with one O(15)Zr4 tetrahedra,  an edgeedge with one O(2)Zr4 tetrahedra, and  an edgeedge with one O(4)Zr4 tetrahedra. In the twentieth O site, O(20) is bonded in a 4-coordinate geometry to one Zr(5), one Zr(8), one Zr(9), and one V(1) atom.
Zr9VO20 crystallizes in the triclinic P1 space group. There are nine inequivalent Zr sites. In the first Zr site, Zr(1) is bonded in a distorted body-centered cubic geometry to one O(1), one O(10), one O(11), one O(19), one O(2), one O(3), one O(4), and one O(6) atom. The Zr(1)-O(1) bond length is 2.16 Å. The Zr(1)-O(10) bond length is 2.08 Å. The Zr(1)-O(11) bond length is 2.30 Å. The Zr(1)-O(19) bond length is 2.48 Å. The Zr(1)-O(2) bond length is 2.12 Å. The Zr(1)-O(3) bond length is 2.51 Å. The Zr(1)-O(4) bond length is 2.09 Å. The Zr(1)-O(6) bond length is 2.38 Å. In the second Zr site, Zr(2) is bonded in a distorted body-centered cubic geometry to one O(11), one O(15), one O(17), one O(2), one O(4), one O(5), one O(6), and one O(8) atom. The Zr(2)-O(11) bond length is 2.07 Å. The Zr(2)-O(15) bond length is 2.38 Å. The Zr(2)-O(17) bond length is 2.09 Å. The Zr(2)-O(2) bond length is 2.39 Å. The Zr(2)-O(4) bond length is 2.45 Å. The Zr(2)-O(5) bond length is 2.10 Å. The Zr(2)-O(6) bond length is 2.10 Å. The Zr(2)-O(8) bond length is 2.55 Å. In the third Zr site, Zr(3) is bonded in a distorted body-centered cubic geometry to one O(1), one O(12), one O(13), one O(16), one O(6), one O(7), one O(8), and one O(9) atom. The Zr(3)-O(1) bond length is 2.48 Å. The Zr(3)-O(12) bond length is 2.09 Å. The Zr(3)-O(13) bond length is 2.46 Å. The Zr(3)-O(16) bond length is 2.05 Å. The Zr(3)-O(6) bond length is 2.07 Å. The Zr(3)-O(7) bond length is 2.47 Å. The Zr(3)-O(8) bond length is 2.55 Å. The Zr(3)-O(9) bond length is 2.06 Å. In the fourth Zr site, Zr(4) is bonded in a distorted body-centered cubic geometry to one O(10), one O(14), one O(17), one O(19), one O(2), one O(3), one O(7), and one O(9) atom. The Zr(4)-O(10) bond length is 2.39 Å. The Zr(4)-O(14) bond length is 2.49 Å. The Zr(4)-O(17) bond length is 2.09 Å. The Zr(4)-O(19) bond length is 2.11 Å. The Zr(4)-O(2) bond length is 2.52 Å. The Zr(4)-O(3) bond length is 2.10 Å. The Zr(4)-O(7) bond length is 2.36 Å. The Zr(4)-O(9) bond length is 2.08 Å. In the fifth Zr site, Zr(5) is bonded in a distorted body-centered cubic geometry to one O(12), one O(13), one O(2), one O(20), one O(3), one O(5), one O(7), and one O(9) atom. The Zr(5)-O(12) bond length is 2.48 Å. The Zr(5)-O(13) bond length is 2.09 Å. The Zr(5)-O(2) bond length is 2.07 Å. The Zr(5)-O(20) bond length is 2.13 Å. The Zr(5)-O(3) bond length is 2.42 Å. The Zr(5)-O(5) bond length is 2.48 Å. The Zr(5)-O(7) bond length is 2.12 Å. The Zr(5)-O(9) bond length is 2.34 Å. In the sixth Zr site, Zr(6) is bonded in a distorted body-centered cubic geometry to one O(14), one O(15), one O(16), one O(17), one O(19), one O(4), one O(5), and one O(7) atom. The Zr(6)-O(14) bond length is 2.15 Å. The Zr(6)-O(15) bond length is 2.13 Å. The Zr(6)-O(16) bond length is 2.30 Å. The Zr(6)-O(17) bond length is 2.49 Å. The Zr(6)-O(19) bond length is 2.43 Å. The Zr(6)-O(4) bond length is 2.08 Å. The Zr(6)-O(5) bond length is 2.40 Å. The Zr(6)-O(7) bond length is 2.08 Å. In the seventh Zr site, Zr(7) is bonded in a 8-coordinate geometry to one O(10), one O(12), one O(13), one O(15), one O(17), one O(18), one O(6), and one O(8) atom. The Zr(7)-O(10) bond length is 2.12 Å. The Zr(7)-O(12) bond length is 2.45 Å. The Zr(7)-O(13) bond length is 2.09 Å. The Zr(7)-O(15) bond length is 2.08 Å. The Zr(7)-O(17) bond length is 2.41 Å. The Zr(7)-O(18) bond length is 2.32 Å. The Zr(7)-O(6) bond length is 2.62 Å. The Zr(7)-O(8) bond length is 2.12 Å. In the eighth Zr site, Zr(8) is bonded in a 8-coordinate geometry to one O(13), one O(14), one O(16), one O(18), one O(20), one O(3), one O(4), and one O(5) atom. The Zr(8)-O(13) bond length is 2.41 Å. The Zr(8)-O(14) bond length is 2.59 Å. The Zr(8)-O(16) bond length is 2.05 Å. The Zr(8)-O(18) bond length is 2.07 Å. The Zr(8)-O(20) bond length is 2.48 Å. The Zr(8)-O(3) bond length is 2.08 Å. The Zr(8)-O(4) bond length is 2.44 Å. The Zr(8)-O(5) bond length is 2.08 Å. In the ninth Zr site, Zr(9) is bonded in a distorted body-centered cubic geometry to one O(1), one O(10), one O(11), one O(12), one O(15), one O(18), one O(19), and one O(20) atom. The Zr(9)-O(1) bond length is 2.52 Å. The Zr(9)-O(10) bond length is 2.47 Å. The Zr(9)-O(11) bond length is 2.04 Å. The Zr(9)-O(12) bond length is 2.09 Å. The Zr(9)-O(15) bond length is 2.45 Å. The Zr(9)-O(18) bond length is 2.07 Å. The Zr(9)-O(19) bond length is 2.08 Å. The Zr(9)-O(20) bond length is 2.54 Å. V(1) is bonded in a distorted tetrahedral geometry to one O(1), one O(14), one O(16), one O(18), one O(20), one O(8), and one O(9) atom. The V(1)-O(1) bond length is 1.90 Å. The V(1)-O(14) bond length is 1.89 Å. The V(1)-O(16) bond length is 2.60 Å. The V(1)-O(18) bond length is 2.56 Å. The V(1)-O(20) bond length is 1.93 Å. The V(1)-O(8) bond length is 1.92 Å. The V(1)-O(9) bond length is 2.47 Å. There are twenty inequivalent O sites. In the first O site, O(1) is bonded in a 4-coordinate geometry to one Zr(1), one Zr(3), one Zr(9), and one V(1) atom. In the second O site, O(2) is bonded to one Zr(1), one Zr(2), one Zr(4), and one Zr(5) atom to form distorted OZr4 tetrahedra that share  a cornercorner with one O(12)Zr4 tetrahedra,  a cornercorner with one O(13)Zr4 tetrahedra,  a cornercorner with one O(15)Zr4 tetrahedra,  a cornercorner with one O(3)Zr4 tetrahedra, corners with two equivalent O(10)Zr4 tetrahedra, corners with two equivalent O(4)Zr4 tetrahedra, corners with two equivalent O(7)Zr4 tetrahedra,  an edgeedge with one O(9)Zr3V tetrahedra,  an edgeedge with one O(17)Zr4 tetrahedra,  an edgeedge with one O(19)Zr4 tetrahedra,  an edgeedge with one O(3)Zr4 tetrahedra, and  an edgeedge with one O(5)Zr4 tetrahedra. In the third O site, O(3) is bonded to one Zr(1), one Zr(4), one Zr(5), and one Zr(8) atom to form distorted OZr4 tetrahedra that share  a cornercorner with one O(12)Zr4 tetrahedra,  a cornercorner with one O(17)Zr4 tetrahedra,  a cornercorner with one O(2)Zr4 tetrahedra, corners with two equivalent O(9)Zr3V tetrahedra, corners with two equivalent O(13)Zr4 tetrahedra, corners with two equivalent O(19)Zr4 tetrahedra, corners with two equivalent O(5)Zr4 tetrahedra,  an edgeedge with one O(10)Zr4 tetrahedra,  an edgeedge with one O(2)Zr4 tetrahedra,  an edgeedge with one O(4)Zr4 tetrahedra, and  an edgeedge with one O(7)Zr4 tetrahedra. In the fourth O site, O(4) is bonded to one Zr(1), one Zr(2), one Zr(6), and one Zr(8) atom to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the fifth O site, O(5) is bonded to one Zr(2), one Zr(5), one Zr(6), and one Zr(8) atom to form distorted OZr4 tetrahedra that share  a cornercorner with one O(9)Zr3V tetrahedra,  a cornercorner with one O(12)Zr4 tetrahedra,  a cornercorner with one O(19)Zr4 tetrahedra,  a cornercorner with one O(4)Zr4 tetrahedra, corners with two equivalent O(17)Zr4 tetrahedra, corners with two equivalent O(3)Zr4 tetrahedra,  an edgeedge with one O(13)Zr4 tetrahedra,  an edgeedge with one O(15)Zr4 tetrahedra,  an edgeedge with one O(2)Zr4 tetrahedra,  an edgeedge with one O(4)Zr4 tetrahedra, and  an edgeedge with one O(7)Zr4 tetrahedra. In the sixth O site, O(6) is bonded in a 4-coordinate geometry to one Zr(1), one Zr(2), one Zr(3), and one Zr(7) atom. In the seventh O site, O(7) is bonded to one Zr(3), one Zr(4), one Zr(5), and one Zr(6) atom to form distorted OZr4 tetrahedra that share  a cornercorner with one O(9)Zr3V tetrahedra,  a cornercorner with one O(10)Zr4 tetrahedra,  a cornercorner with one O(15)Zr4 tetrahedra,  a cornercorner with one O(4)Zr4 tetrahedra, corners with two equivalent O(13)Zr4 tetrahedra, corners with two equivalent O(19)Zr4 tetrahedra, corners with two equivalent O(2)Zr4 tetrahedra,  an edgeedge with one O(9)Zr3V tetrahedra,  an edgeedge with one O(12)Zr4 tetrahedra,  an edgeedge with one O(17)Zr4 tetrahedra,  an edgeedge with one O(3)Zr4 tetrahedra, and  an edgeedge with one O(5)Zr4 tetrahedra. In the eighth O site, O(8) is bonded in a distorted bent 120 degrees geometry to one Zr(2), one Zr(3), one Zr(7), and one V(1) atom. In the ninth O site, O(9) is bonded to one Zr(3), one Zr(4), one Zr(5), and one V(1) atom to form a mixture of distorted corner and edge-sharing OZr3V tetrahedra. In the tenth O site, O(10) is bonded to one Zr(1), one Zr(4), one Zr(7), and one Zr(9) atom to form distorted OZr4 tetrahedra that share  a cornercorner with one O(9)Zr3V tetrahedra,  a cornercorner with one O(13)Zr4 tetrahedra,  a cornercorner with one O(19)Zr4 tetrahedra,  a cornercorner with one O(4)Zr4 tetrahedra,  a cornercorner with one O(7)Zr4 tetrahedra, corners with two equivalent O(15)Zr4 tetrahedra, corners with two equivalent O(2)Zr4 tetrahedra,  an edgeedge with one O(12)Zr4 tetrahedra,  an edgeedge with one O(17)Zr4 tetrahedra,  an edgeedge with one O(19)Zr4 tetrahedra, and  an edgeedge with one O(3)Zr4 tetrahedra. In the eleventh O site, O(11) is bonded in a 3-coordinate geometry to one Zr(1), one Zr(2), and one Zr(9) atom. In the twelfth O site, O(12) is bonded to one Zr(3), one Zr(5), one Zr(7), and one Zr(9) atom to form distorted OZr4 tetrahedra that share  a cornercorner with one O(13)Zr4 tetrahedra,  a cornercorner with one O(17)Zr4 tetrahedra,  a cornercorner with one O(19)Zr4 tetrahedra,  a cornercorner with one O(2)Zr4 tetrahedra,  a cornercorner with one O(3)Zr4 tetrahedra,  a cornercorner with one O(5)Zr4 tetrahedra, corners with two equivalent O(9)Zr3V tetrahedra, corners with two equivalent O(15)Zr4 tetrahedra,  an edgeedge with one O(10)Zr4 tetrahedra,  an edgeedge with one O(13)Zr4 tetrahedra, and  an edgeedge with one O(7)Zr4 tetrahedra. In the thirteenth O site, O(13) is bonded to one Zr(3), one Zr(5), one Zr(7), and one Zr(8) atom to form distorted OZr4 tetrahedra that share  a cornercorner with one O(10)Zr4 tetrahedra,  a cornercorner with one O(12)Zr4 tetrahedra,  a cornercorner with one O(15)Zr4 tetrahedra,  a cornercorner with one O(17)Zr4 tetrahedra,  a cornercorner with one O(2)Zr4 tetrahedra,  a cornercorner with one O(4)Zr4 tetrahedra, corners with two equivalent O(3)Zr4 tetrahedra, corners with two equivalent O(7)Zr4 tetrahedra,  an edgeedge with one O(9)Zr3V tetrahedra,  an edgeedge with one O(12)Zr4 tetrahedra, and  an edgeedge with one O(5)Zr4 tetrahedra. In the fourteenth O site, O(14) is bonded in a 4-coordinate geometry to one Zr(4), one Zr(6), one Zr(8), and one V(1) atom. In the fifteenth O site, O(15) is bonded to one Zr(2), one Zr(6), one Zr(7), and one Zr(9) atom to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the sixteenth O site, O(16) is bonded in a 4-coordinate geometry to one Zr(3), one Zr(6), one Zr(8), and one V(1) atom. In the seventeenth O site, O(17) is bonded to one Zr(2), one Zr(4), one Zr(6), and one Zr(7) atom to form distorted OZr4 tetrahedra that share  a cornercorner with one O(9)Zr3V tetrahedra,  a cornercorner with one O(12)Zr4 tetrahedra,  a cornercorner with one O(13)Zr4 tetrahedra,  a cornercorner with one O(15)Zr4 tetrahedra,  a cornercorner with one O(3)Zr4 tetrahedra, corners with two equivalent O(19)Zr4 tetrahedra, corners with two equivalent O(5)Zr4 tetrahedra,  an edgeedge with one O(10)Zr4 tetrahedra,  an edgeedge with one O(15)Zr4 tetrahedra,  an edgeedge with one O(2)Zr4 tetrahedra,  an edgeedge with one O(4)Zr4 tetrahedra, and  an edgeedge with one O(7)Zr4 tetrahedra. In the eighteenth O site, O(18) is bonded in a 4-coordinate geometry to one Zr(7), one Zr(8), one Zr(9), and one V(1) atom. In the nineteenth O site, O(19) is bonded to one Zr(1), one Zr(4), one Zr(6), and one Zr(9) atom to form distorted OZr4 tetrahedra that share  a cornercorner with one O(9)Zr3V tetrahedra,  a cornercorner with one O(10)Zr4 tetrahedra,  a cornercorner with one O(12)Zr4 tetrahedra,  a cornercorner with one O(5)Zr4 tetrahedra, corners with two equivalent O(17)Zr4 tetrahedra, corners with two equivalent O(3)Zr4 tetrahedra, corners with two equivalent O(7)Zr4 tetrahedra,  an edgeedge with one O(10)Zr4 tetrahedra,  an edgeedge with one O(15)Zr4 tetrahedra,  an edgeedge with one O(2)Zr4 tetrahedra, and  an edgeedge with one O(4)Zr4 tetrahedra. In the twentieth O site, O(20) is bonded in a 4-coordinate geometry to one Zr(5), one Zr(8), one Zr(9), and one V(1) atom.