The material described by YZr9O20 crystallizes in the triclinic P1 space group. Y(1) is bonded in a body-centered cubic geometry to one O(10), one O(11), one O(12), one O(13), one O(14), one O(15), one O(19), and one O(5) atom. There are nine inequivalent Zr sites. In the first Zr site, Zr(1) is bonded in a body-centered cubic geometry to one O(1), one O(12), one O(14), one O(18), one O(20), one O(4), one O(7), and one O(9) atom. In the second Zr site, Zr(2) is bonded in a body-centered cubic geometry to one O(1), one O(11), one O(13), one O(17), one O(2), one O(3), one O(6), and one O(9) atom. In the third Zr site, Zr(3) is bonded in a body-centered cubic geometry to one O(12), one O(17), one O(18), one O(19), one O(2), one O(3), one O(4), and one O(9) atom. In the fourth Zr site, Zr(4) is bonded in a body-centered cubic geometry to one O(10), one O(13), one O(15), one O(16), one O(2), one O(4), one O(5), and one O(7) atom. In the fifth Zr site, Zr(5) is bonded in a body-centered cubic geometry to one O(1), one O(13), one O(20), one O(3), one O(4), one O(5), one O(6), and one O(7) atom. In the sixth Zr site, Zr(6) is bonded in a body-centered cubic geometry to one O(11), one O(14), one O(16), one O(18), one O(19), one O(5), one O(6), and one O(8) atom. In the seventh Zr site, Zr(7) is bonded in a body-centered cubic geometry to one O(10), one O(11), one O(16), one O(2), one O(6), one O(7), one O(8), and one O(9) atom. In the eighth Zr site, Zr(8) is bonded in a body-centered cubic geometry to one O(10), one O(12), one O(15), one O(17), one O(19), one O(20), one O(3), and one O(8) atom. In the ninth Zr site, Zr(9) is bonded in a body-centered cubic geometry to one O(1), one O(14), one O(15), one O(16), one O(17), one O(18), one O(20), and one O(8) atom. There are twenty inequivalent O sites. In the first O site, O(1) is bonded to one Zr(1), one Zr(2), one Zr(5), and one Zr(9) atom to form OZr4 tetrahedra that share  a cornercorner with one O(11)YZr3 tetrahedra,  a cornercorner with one O(12)YZr3 tetrahedra,  a cornercorner with one O(15)YZr3 tetrahedra,  a cornercorner with one O(5)YZr3 tetrahedra,  a cornercorner with one O(16)Zr4 tetrahedra,  a cornercorner with one O(2)Zr4 tetrahedra,  a cornercorner with one O(20)Zr4 tetrahedra,  a cornercorner with one O(8)Zr4 tetrahedra, corners with two equivalent O(13)YZr3 tetrahedra, corners with two equivalent O(18)Zr4 tetrahedra, corners with two equivalent O(3)Zr4 tetrahedra, corners with two equivalent O(7)Zr4 tetrahedra,  an edgeedge with one O(14)YZr3 tetrahedra,  an edgeedge with one O(17)Zr4 tetrahedra,  an edgeedge with one O(20)Zr4 tetrahedra,  an edgeedge with one O(4)Zr4 tetrahedra,  an edgeedge with one O(6)Zr4 tetrahedra, and  an edgeedge with one O(9)Zr4 tetrahedra. In the second O site, O(2) 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(12)YZr3 tetrahedra,  a cornercorner with one O(15)YZr3 tetrahedra,  a cornercorner with one O(19)YZr3 tetrahedra,  a cornercorner with one O(5)YZr3 tetrahedra,  a cornercorner with one O(1)Zr4 tetrahedra,  a cornercorner with one O(18)Zr4 tetrahedra,  a cornercorner with one O(8)Zr4 tetrahedra,  a cornercorner with one O(9)Zr4 tetrahedra, corners with two equivalent O(11)YZr3 tetrahedra, corners with two equivalent O(16)Zr4 tetrahedra, corners with two equivalent O(3)Zr4 tetrahedra, corners with two equivalent O(7)Zr4 tetrahedra,  an edgeedge with one O(10)YZr3 tetrahedra,  an edgeedge with one O(13)YZr3 tetrahedra,  an edgeedge with one O(17)Zr4 tetrahedra,  an edgeedge with one O(4)Zr4 tetrahedra,  an edgeedge with one O(6)Zr4 tetrahedra, and  an edgeedge with one O(9)Zr4 tetrahedra. In the third O site, O(3) is bonded to one Zr(2), one Zr(3), one Zr(5), and one Zr(8) atom to form OZr4 tetrahedra that share  a cornercorner with one O(10)YZr3 tetrahedra,  a cornercorner with one O(11)YZr3 tetrahedra,  a cornercorner with one O(15)YZr3 tetrahedra,  a cornercorner with one O(5)YZr3 tetrahedra,  a cornercorner with one O(17)Zr4 tetrahedra,  a cornercorner with one O(18)Zr4 tetrahedra,  a cornercorner with one O(7)Zr4 tetrahedra,  a cornercorner with one O(8)Zr4 tetrahedra, corners with two equivalent O(12)YZr3 tetrahedra, corners with two equivalent O(1)Zr4 tetrahedra, corners with two equivalent O(2)Zr4 tetrahedra, corners with two equivalent O(6)Zr4 tetrahedra,  an edgeedge with one O(13)YZr3 tetrahedra,  an edgeedge with one O(19)YZr3 tetrahedra,  an edgeedge with one O(17)Zr4 tetrahedra,  an edgeedge with one O(20)Zr4 tetrahedra,  an edgeedge with one O(4)Zr4 tetrahedra, and  an edgeedge with one O(9)Zr4 tetrahedra. In the fourth O site, O(4) is bonded to one Zr(1), one Zr(3), one Zr(4), and one Zr(5) atom to form OZr4 tetrahedra that share  a cornercorner with one O(10)YZr3 tetrahedra,  a cornercorner with one O(14)YZr3 tetrahedra,  a cornercorner with one O(15)YZr3 tetrahedra,  a cornercorner with one O(19)YZr3 tetrahedra,  a cornercorner with one O(16)Zr4 tetrahedra,  a cornercorner with one O(17)Zr4 tetrahedra,  a cornercorner with one O(6)Zr4 tetrahedra,  a cornercorner with one O(7)Zr4 tetrahedra, corners with two equivalent O(13)YZr3 tetrahedra, corners with two equivalent O(18)Zr4 tetrahedra, corners with two equivalent O(20)Zr4 tetrahedra, corners with two equivalent O(9)Zr4 tetrahedra,  an edgeedge with one O(12)YZr3 tetrahedra,  an edgeedge with one O(5)YZr3 tetrahedra,  an edgeedge with one O(1)Zr4 tetrahedra,  an edgeedge with one O(2)Zr4 tetrahedra,  an edgeedge with one O(3)Zr4 tetrahedra, and  an edgeedge with one O(7)Zr4 tetrahedra. In the fifth O site, O(5) is bonded to one Y(1), one Zr(4), one Zr(5), and one Zr(6) atom to form OYZr3 tetrahedra that share  a cornercorner with one O(12)YZr3 tetrahedra,  a cornercorner with one O(13)YZr3 tetrahedra,  a cornercorner with one O(1)Zr4 tetrahedra,  a cornercorner with one O(18)Zr4 tetrahedra,  a cornercorner with one O(2)Zr4 tetrahedra,  a cornercorner with one O(20)Zr4 tetrahedra,  a cornercorner with one O(3)Zr4 tetrahedra,  a cornercorner with one O(8)Zr4 tetrahedra, corners with two equivalent O(11)YZr3 tetrahedra, corners with two equivalent O(15)YZr3 tetrahedra, corners with two equivalent O(19)YZr3 tetrahedra, corners with two equivalent O(7)Zr4 tetrahedra,  an edgeedge with one O(10)YZr3 tetrahedra,  an edgeedge with one O(13)YZr3 tetrahedra,  an edgeedge with one O(14)YZr3 tetrahedra,  an edgeedge with one O(16)Zr4 tetrahedra,  an edgeedge with one O(4)Zr4 tetrahedra, and  an edgeedge with one O(6)Zr4 tetrahedra. In the sixth O site, O(6) is bonded to one Zr(2), one Zr(5), one Zr(6), and one Zr(7) atom to form OZr4 tetrahedra that share  a cornercorner with one O(10)YZr3 tetrahedra,  a cornercorner with one O(11)YZr3 tetrahedra,  a cornercorner with one O(14)YZr3 tetrahedra,  a cornercorner with one O(19)YZr3 tetrahedra,  a cornercorner with one O(17)Zr4 tetrahedra,  a cornercorner with one O(18)Zr4 tetrahedra,  a cornercorner with one O(20)Zr4 tetrahedra,  a cornercorner with one O(4)Zr4 tetrahedra, corners with two equivalent O(13)YZr3 tetrahedra, corners with two equivalent O(16)Zr4 tetrahedra, corners with two equivalent O(3)Zr4 tetrahedra, corners with two equivalent O(9)Zr4 tetrahedra,  an edgeedge with one O(11)YZr3 tetrahedra,  an edgeedge with one O(5)YZr3 tetrahedra,  an edgeedge with one O(1)Zr4 tetrahedra,  an edgeedge with one O(2)Zr4 tetrahedra,  an edgeedge with one O(7)Zr4 tetrahedra, and  an edgeedge with one O(8)Zr4 tetrahedra. In the seventh O site, O(7) is bonded to one Zr(1), one Zr(4), one Zr(5), and one Zr(7) atom to form OZr4 tetrahedra that share  a cornercorner with one O(11)YZr3 tetrahedra,  a cornercorner with one O(12)YZr3 tetrahedra,  a cornercorner with one O(14)YZr3 tetrahedra,  a cornercorner with one O(15)YZr3 tetrahedra,  a cornercorner with one O(18)Zr4 tetrahedra,  a cornercorner with one O(3)Zr4 tetrahedra,  a cornercorner with one O(4)Zr4 tetrahedra,  a cornercorner with one O(8)Zr4 tetrahedra, corners with two equivalent O(10)YZr3 tetrahedra, corners with two equivalent O(5)YZr3 tetrahedra, corners with two equivalent O(1)Zr4 tetrahedra, corners with two equivalent O(2)Zr4 tetrahedra,  an edgeedge with one O(13)YZr3 tetrahedra,  an edgeedge with one O(16)Zr4 tetrahedra,  an edgeedge with one O(20)Zr4 tetrahedra,  an edgeedge with one O(4)Zr4 tetrahedra,  an edgeedge with one O(6)Zr4 tetrahedra, and  an edgeedge with one O(9)Zr4 tetrahedra. In the eighth O site, O(8) is bonded to one Zr(6), one Zr(7), one Zr(8), and one Zr(9) atom to form OZr4 tetrahedra that share  a cornercorner with one O(12)YZr3 tetrahedra,  a cornercorner with one O(5)YZr3 tetrahedra,  a cornercorner with one O(1)Zr4 tetrahedra,  a cornercorner with one O(16)Zr4 tetrahedra,  a cornercorner with one O(2)Zr4 tetrahedra,  a cornercorner with one O(3)Zr4 tetrahedra,  a cornercorner with one O(7)Zr4 tetrahedra,  a cornercorner with one O(9)Zr4 tetrahedra, corners with two equivalent O(11)YZr3 tetrahedra, corners with two equivalent O(15)YZr3 tetrahedra, corners with two equivalent O(18)Zr4 tetrahedra, corners with two equivalent O(20)Zr4 tetrahedra,  an edgeedge with one O(10)YZr3 tetrahedra,  an edgeedge with one O(14)YZr3 tetrahedra,  an edgeedge with one O(19)YZr3 tetrahedra,  an edgeedge with one O(16)Zr4 tetrahedra,  an edgeedge with one O(17)Zr4 tetrahedra, and  an edgeedge with one O(6)Zr4 tetrahedra. In the ninth O site, O(9) is bonded to one Zr(1), one Zr(2), one Zr(3), and one Zr(7) atom to form OZr4 tetrahedra that share  a cornercorner with one O(10)YZr3 tetrahedra,  a cornercorner with one O(13)YZr3 tetrahedra,  a cornercorner with one O(14)YZr3 tetrahedra,  a cornercorner with one O(19)YZr3 tetrahedra,  a cornercorner with one O(16)Zr4 tetrahedra,  a cornercorner with one O(2)Zr4 tetrahedra,  a cornercorner with one O(20)Zr4 tetrahedra,  a cornercorner with one O(8)Zr4 tetrahedra, corners with two equivalent O(12)YZr3 tetrahedra, corners with two equivalent O(17)Zr4 tetrahedra, corners with two equivalent O(4)Zr4 tetrahedra, corners with two equivalent O(6)Zr4 tetrahedra,  an edgeedge with one O(11)YZr3 tetrahedra,  an edgeedge with one O(1)Zr4 tetrahedra,  an edgeedge with one O(18)Zr4 tetrahedra,  an edgeedge with one O(2)Zr4 tetrahedra,  an edgeedge with one O(3)Zr4 tetrahedra, and  an edgeedge with one O(7)Zr4 tetrahedra. In the tenth O site, O(10) is bonded to one Y(1), one Zr(4), one Zr(7), and one Zr(8) atom to form OYZr3 tetrahedra that share  a cornercorner with one O(14)YZr3 tetrahedra,  a cornercorner with one O(15)YZr3 tetrahedra,  a cornercorner with one O(17)Zr4 tetrahedra,  a cornercorner with one O(20)Zr4 tetrahedra,  a cornercorner with one O(3)Zr4 tetrahedra,  a cornercorner with one O(4)Zr4 tetrahedra,  a cornercorner with one O(6)Zr4 tetrahedra,  a cornercorner with one O(9)Zr4 tetrahedra, corners with two equivalent O(13)YZr3 tetrahedra, corners with two equivalent O(19)YZr3 tetrahedra, corners with two equivalent O(16)Zr4 tetrahedra, corners with two equivalent O(7)Zr4 tetrahedra,  an edgeedge with one O(11)YZr3 tetrahedra,  an edgeedge with one O(12)YZr3 tetrahedra,  an edgeedge with one O(15)YZr3 tetrahedra,  an edgeedge with one O(5)YZr3 tetrahedra,  an edgeedge with one O(2)Zr4 tetrahedra, and  an edgeedge with one O(8)Zr4 tetrahedra. In the eleventh O site, O(11) is bonded to one Y(1), one Zr(2), one Zr(6), and one Zr(7) atom to form OYZr3 tetrahedra that share  a cornercorner with one O(12)YZr3 tetrahedra,  a cornercorner with one O(15)YZr3 tetrahedra,  a cornercorner with one O(1)Zr4 tetrahedra,  a cornercorner with one O(17)Zr4 tetrahedra,  a cornercorner with one O(18)Zr4 tetrahedra,  a cornercorner with one O(3)Zr4 tetrahedra,  a cornercorner with one O(6)Zr4 tetrahedra,  a cornercorner with one O(7)Zr4 tetrahedra, corners with two equivalent O(14)YZr3 tetrahedra, corners with two equivalent O(5)YZr3 tetrahedra, corners with two equivalent O(2)Zr4 tetrahedra, corners with two equivalent O(8)Zr4 tetrahedra,  an edgeedge with one O(10)YZr3 tetrahedra,  an edgeedge with one O(13)YZr3 tetrahedra,  an edgeedge with one O(19)YZr3 tetrahedra,  an edgeedge with one O(16)Zr4 tetrahedra,  an edgeedge with one O(6)Zr4 tetrahedra, and  an edgeedge with one O(9)Zr4 tetrahedra. In the twelfth O site, O(12) is bonded to one Y(1), one Zr(1), one Zr(3), and one Zr(8) atom to form OYZr3 tetrahedra that share  a cornercorner with one O(11)YZr3 tetrahedra,  a cornercorner with one O(13)YZr3 tetrahedra,  a cornercorner with one O(19)YZr3 tetrahedra,  a cornercorner with one O(5)YZr3 tetrahedra,  a cornercorner with one O(1)Zr4 tetrahedra,  a cornercorner with one O(2)Zr4 tetrahedra,  a cornercorner with one O(7)Zr4 tetrahedra,  a cornercorner with one O(8)Zr4 tetrahedra, corners with two equivalent O(15)YZr3 tetrahedra, corners with two equivalent O(18)Zr4 tetrahedra, corners with two equivalent O(3)Zr4 tetrahedra, corners with two equivalent O(9)Zr4 tetrahedra,  an edgeedge with one O(10)YZr3 tetrahedra,  an edgeedge with one O(14)YZr3 tetrahedra,  an edgeedge with one O(19)YZr3 tetrahedra,  an edgeedge with one O(17)Zr4 tetrahedra,  an edgeedge with one O(20)Zr4 tetrahedra, and  an edgeedge with one O(4)Zr4 tetrahedra. In the thirteenth O site, O(13) is bonded to one Y(1), one Zr(2), one Zr(4), and one Zr(5) atom to form OYZr3 tetrahedra that share  a cornercorner with one O(12)YZr3 tetrahedra,  a cornercorner with one O(14)YZr3 tetrahedra,  a cornercorner with one O(19)YZr3 tetrahedra,  a cornercorner with one O(5)YZr3 tetrahedra,  a cornercorner with one O(16)Zr4 tetrahedra,  a cornercorner with one O(17)Zr4 tetrahedra,  a cornercorner with one O(20)Zr4 tetrahedra,  a cornercorner with one O(9)Zr4 tetrahedra, corners with two equivalent O(10)YZr3 tetrahedra, corners with two equivalent O(1)Zr4 tetrahedra, corners with two equivalent O(4)Zr4 tetrahedra, corners with two equivalent O(6)Zr4 tetrahedra,  an edgeedge with one O(11)YZr3 tetrahedra,  an edgeedge with one O(15)YZr3 tetrahedra,  an edgeedge with one O(5)YZr3 tetrahedra,  an edgeedge with one O(2)Zr4 tetrahedra,  an edgeedge with one O(3)Zr4 tetrahedra, and  an edgeedge with one O(7)Zr4 tetrahedra. In the fourteenth O site, O(14) is bonded to one Y(1), one Zr(1), one Zr(6), and one Zr(9) atom to form OYZr3 tetrahedra that share  a cornercorner with one O(10)YZr3 tetrahedra,  a cornercorner with one O(13)YZr3 tetrahedra,  a cornercorner with one O(17)Zr4 tetrahedra,  a cornercorner with one O(18)Zr4 tetrahedra,  a cornercorner with one O(4)Zr4 tetrahedra,  a cornercorner with one O(6)Zr4 tetrahedra,  a cornercorner with one O(7)Zr4 tetrahedra,  a cornercorner with one O(9)Zr4 tetrahedra, corners with two equivalent O(11)YZr3 tetrahedra, corners with two equivalent O(19)YZr3 tetrahedra, corners with two equivalent O(16)Zr4 tetrahedra, corners with two equivalent O(20)Zr4 tetrahedra,  an edgeedge with one O(12)YZr3 tetrahedra,  an edgeedge with one O(15)YZr3 tetrahedra,  an edgeedge with one O(5)YZr3 tetrahedra,  an edgeedge with one O(1)Zr4 tetrahedra,  an edgeedge with one O(18)Zr4 tetrahedra, and  an edgeedge with one O(8)Zr4 tetrahedra. In the fifteenth O site, O(15) is bonded to one Y(1), one Zr(4), one Zr(8), and one Zr(9) atom to form OYZr3 tetrahedra that share  a cornercorner with one O(10)YZr3 tetrahedra,  a cornercorner with one O(11)YZr3 tetrahedra,  a cornercorner with one O(1)Zr4 tetrahedra,  a cornercorner with one O(18)Zr4 tetrahedra,  a cornercorner with one O(2)Zr4 tetrahedra,  a cornercorner with one O(3)Zr4 tetrahedra,  a cornercorner with one O(4)Zr4 tetrahedra,  a cornercorner with one O(7)Zr4 tetrahedra, corners with two equivalent O(12)YZr3 tetrahedra, corners with two equivalent O(5)YZr3 tetrahedra, corners with two equivalent O(17)Zr4 tetrahedra, corners with two equivalent O(8)Zr4 tetrahedra,  an edgeedge with one O(10)YZr3 tetrahedra,  an edgeedge with one O(13)YZr3 tetrahedra,  an edgeedge with one O(14)YZr3 tetrahedra,  an edgeedge with one O(19)YZr3 tetrahedra,  an edgeedge with one O(16)Zr4 tetrahedra, and  an edgeedge with one O(20)Zr4 tetrahedra. In the sixteenth O site, O(16) is bonded to one Zr(4), one Zr(6), one Zr(7), and one Zr(9) atom to form OZr4 tetrahedra that share  a cornercorner with one O(13)YZr3 tetrahedra,  a cornercorner with one O(19)YZr3 tetrahedra,  a cornercorner with one O(1)Zr4 tetrahedra,  a cornercorner with one O(17)Zr4 tetrahedra,  a cornercorner with one O(20)Zr4 tetrahedra,  a cornercorner with one O(4)Zr4 tetrahedra,  a cornercorner with one O(8)Zr4 tetrahedra,  a cornercorner with one O(9)Zr4 tetrahedra, corners with two equivalent O(10)YZr3 tetrahedra, corners with two equivalent O(14)YZr3 tetrahedra, corners with two equivalent O(2)Zr4 tetrahedra, corners with two equivalent O(6)Zr4 tetrahedra,  an edgeedge with one O(11)YZr3 tetrahedra,  an edgeedge with one O(15)YZr3 tetrahedra,  an edgeedge with one O(5)YZr3 tetrahedra,  an edgeedge with one O(18)Zr4 tetrahedra,  an edgeedge with one O(7)Zr4 tetrahedra, and  an edgeedge with one O(8)Zr4 tetrahedra. In the seventeenth O site, O(17) is bonded to one Zr(2), one Zr(3), one Zr(8), and one Zr(9) atom to form OZr4 tetrahedra that share  a cornercorner with one O(10)YZr3 tetrahedra,  a cornercorner with one O(11)YZr3 tetrahedra,  a cornercorner with one O(13)YZr3 tetrahedra,  a cornercorner with one O(14)YZr3 tetrahedra,  a cornercorner with one O(16)Zr4 tetrahedra,  a cornercorner with one O(3)Zr4 tetrahedra,  a cornercorner with one O(4)Zr4 tetrahedra,  a cornercorner with one O(6)Zr4 tetrahedra, corners with two equivalent O(15)YZr3 tetrahedra, corners with two equivalent O(19)YZr3 tetrahedra, corners with two equivalent O(20)Zr4 tetrahedra, corners with two equivalent O(9)Zr4 tetrahedra,  an edgeedge with one O(12)YZr3 tetrahedra,  an edgeedge with one O(1)Zr4 tetrahedra,  an edgeedge with one O(18)Zr4 tetrahedra,  an edgeedge with one O(2)Zr4 tetrahedra,  an edgeedge with one O(3)Zr4 tetrahedra, and  an edgeedge with one O(8)Zr4 tetrahedra. In the eighteenth O site, O(18) is bonded to one Zr(1), one Zr(3), one Zr(6), and one Zr(9) atom to form OZr4 tetrahedra that share  a cornercorner with one O(11)YZr3 tetrahedra,  a cornercorner with one O(14)YZr3 tetrahedra,  a cornercorner with one O(15)YZr3 tetrahedra,  a cornercorner with one O(5)YZr3 tetrahedra,  a cornercorner with one O(2)Zr4 tetrahedra,  a cornercorner with one O(3)Zr4 tetrahedra,  a cornercorner with one O(6)Zr4 tetrahedra,  a cornercorner with one O(7)Zr4 tetrahedra, corners with two equivalent O(12)YZr3 tetrahedra, corners with two equivalent O(1)Zr4 tetrahedra, corners with two equivalent O(4)Zr4 tetrahedra, corners with two equivalent O(8)Zr4 tetrahedra,  an edgeedge with one O(14)YZr3 tetrahedra,  an edgeedge with one O(19)YZr3 tetrahedra,  an edgeedge with one O(16)Zr4 tetrahedra,  an edgeedge with one O(17)Zr4 tetrahedra,  an edgeedge with one O(20)Zr4 tetrahedra, and  an edgeedge with one O(9)Zr4 tetrahedra. In the nineteenth O site, O(19) is bonded to one Y(1), one Zr(3), one Zr(6), and one Zr(8) atom to form OYZr3 tetrahedra that share  a cornercorner with one O(12)YZr3 tetrahedra,  a cornercorner with one O(13)YZr3 tetrahedra,  a cornercorner with one O(16)Zr4 tetrahedra,  a cornercorner with one O(2)Zr4 tetrahedra,  a cornercorner with one O(20)Zr4 tetrahedra,  a cornercorner with one O(4)Zr4 tetrahedra,  a cornercorner with one O(6)Zr4 tetrahedra,  a cornercorner with one O(9)Zr4 tetrahedra, corners with two equivalent O(10)YZr3 tetrahedra, corners with two equivalent O(14)YZr3 tetrahedra, corners with two equivalent O(5)YZr3 tetrahedra, corners with two equivalent O(17)Zr4 tetrahedra,  an edgeedge with one O(11)YZr3 tetrahedra,  an edgeedge with one O(12)YZr3 tetrahedra,  an edgeedge with one O(15)YZr3 tetrahedra,  an edgeedge with one O(18)Zr4 tetrahedra,  an edgeedge with one O(3)Zr4 tetrahedra, and  an edgeedge with one O(8)Zr4 tetrahedra. In the twentieth O site, O(20) is bonded to one Zr(1), one Zr(5), one Zr(8), and one Zr(9) atom to form OZr4 tetrahedra that share  a cornercorner with one O(10)YZr3 tetrahedra,  a cornercorner with one O(13)YZr3 tetrahedra,  a cornercorner with one O(19)YZr3 tetrahedra,  a cornercorner with one O(5)YZr3 tetrahedra,  a cornercorner with one O(1)Zr4 tetrahedra,  a cornercorner with one O(16)Zr4 tetrahedra,  a cornercorner with one O(6)Zr4 tetrahedra,  a cornercorner with one O(9)Zr4 tetrahedra, corners with two equivalent O(14)YZr3 tetrahedra, corners with two equivalent O(17)Zr4 tetrahedra, corners with two equivalent O(4)Zr4 tetrahedra, corners with two equivalent O(8)Zr4 tetrahedra,  an edgeedge with one O(12)YZr3 tetrahedra,  an edgeedge with one O(15)YZr3 tetrahedra,  an edgeedge with one O(1)Zr4 tetrahedra,  an edgeedge with one O(18)Zr4 tetrahedra,  an edgeedge with one O(3)Zr4 tetrahedra, and  an edgeedge with one O(7)Zr4 tetrahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_YZr9O20
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.409
_cell_length_b   7.387
_cell_length_c   8.176
_cell_angle_alpha   77.127
_cell_angle_beta   75.304
_cell_angle_gamma   72.533
_symmetry_Int_Tables_number   1
_cell_volume   352.593
_cell_formula_units_Z   1
loop_
 _symmetry_equiv_pos_site_id
 _symmetry_equiv_pos_as_xyz
  1  'x, y, z'
loop_
 _atom_site_type_symbol
 _atom_site_label
 _atom_site_symmetry_multiplicity
 _atom_site_fract_x
 _atom_site_fract_y
 _atom_site_fract_z
 _atom_site_occupancy
  Y  Y0  1  0.201  0.301  0.600  1.0
  Zr  Zr1  1  0.998  0.001  0.000  1.0
  Zr  Zr2  1  0.399  0.602  0.201  1.0
  Zr  Zr3  1  0.000  0.501  0.998  1.0
  Zr  Zr4  1  0.802  0.199  0.402  1.0
  Zr  Zr5  1  0.401  0.100  0.201  1.0
  Zr  Zr6  1  0.201  0.800  0.597  1.0
  Zr  Zr7  1  0.801  0.699  0.400  1.0
  Zr  Zr8  1  0.601  0.398  0.800  1.0
  Zr  Zr9  1  0.596  0.899  0.801  1.0
  O  O10  1  0.371  0.916  0.046  1.0
  O  O11  1  0.776  0.515  0.240  1.0
  O  O12  1  0.326  0.383  0.058  1.0
  O  O13  1  0.028  0.185  0.157  1.0
  O  O14  1  0.169  0.102  0.437  1.0
  O  O15  1  0.438  0.781  0.358  1.0
  O  O16  1  0.730  0.984  0.258  1.0
  O  O17  1  0.574  0.716  0.642  1.0
  O  O18  1  0.075  0.715  0.137  1.0
  O  O19  1  0.823  0.393  0.553  1.0
  O  O20  1  0.130  0.602  0.448  1.0
  O  O21  1  0.956  0.315  0.854  1.0
  O  O22  1  0.478  0.314  0.336  1.0
  O  O23  1  0.229  0.978  0.762  1.0
  O  O24  1  0.546  0.182  0.661  1.0
  O  O25  1  0.868  0.913  0.545  1.0
  O  O26  1  0.620  0.589  0.957  1.0
  O  O27  1  0.923  0.786  0.857  1.0
  O  O28  1  0.272  0.520  0.747  1.0
  O  O29  1  0.669  0.113  0.948  1.0
[/CIF]
.
The material described by YZr9O20 crystallizes in the triclinic P1 space group. Y(1) is bonded in a body-centered cubic geometry to one O(10), one O(11), one O(12), one O(13), one O(14), one O(15), one O(19), and one O(5) atom. There are nine inequivalent Zr sites. In the first Zr site, Zr(1) is bonded in a body-centered cubic geometry to one O(1), one O(12), one O(14), one O(18), one O(20), one O(4), one O(7), and one O(9) atom. In the second Zr site, Zr(2) is bonded in a body-centered cubic geometry to one O(1), one O(11), one O(13), one O(17), one O(2), one O(3), one O(6), and one O(9) atom. In the third Zr site, Zr(3) is bonded in a body-centered cubic geometry to one O(12), one O(17), one O(18), one O(19), one O(2), one O(3), one O(4), and one O(9) atom. In the fourth Zr site, Zr(4) is bonded in a body-centered cubic geometry to one O(10), one O(13), one O(15), one O(16), one O(2), one O(4), one O(5), and one O(7) atom. In the fifth Zr site, Zr(5) is bonded in a body-centered cubic geometry to one O(1), one O(13), one O(20), one O(3), one O(4), one O(5), one O(6), and one O(7) atom. In the sixth Zr site, Zr(6) is bonded in a body-centered cubic geometry to one O(11), one O(14), one O(16), one O(18), one O(19), one O(5), one O(6), and one O(8) atom. In the seventh Zr site, Zr(7) is bonded in a body-centered cubic geometry to one O(10), one O(11), one O(16), one O(2), one O(6), one O(7), one O(8), and one O(9) atom. In the eighth Zr site, Zr(8) is bonded in a body-centered cubic geometry to one O(10), one O(12), one O(15), one O(17), one O(19), one O(20), one O(3), and one O(8) atom. In the ninth Zr site, Zr(9) is bonded in a body-centered cubic geometry to one O(1), one O(14), one O(15), one O(16), one O(17), one O(18), one O(20), and one O(8) atom. There are twenty inequivalent O sites. In the first O site, O(1) is bonded to one Zr(1), one Zr(2), one Zr(5), and one Zr(9) atom to form OZr4 tetrahedra that share  a cornercorner with one O(11)YZr3 tetrahedra,  a cornercorner with one O(12)YZr3 tetrahedra,  a cornercorner with one O(15)YZr3 tetrahedra,  a cornercorner with one O(5)YZr3 tetrahedra,  a cornercorner with one O(16)Zr4 tetrahedra,  a cornercorner with one O(2)Zr4 tetrahedra,  a cornercorner with one O(20)Zr4 tetrahedra,  a cornercorner with one O(8)Zr4 tetrahedra, corners with two equivalent O(13)YZr3 tetrahedra, corners with two equivalent O(18)Zr4 tetrahedra, corners with two equivalent O(3)Zr4 tetrahedra, corners with two equivalent O(7)Zr4 tetrahedra,  an edgeedge with one O(14)YZr3 tetrahedra,  an edgeedge with one O(17)Zr4 tetrahedra,  an edgeedge with one O(20)Zr4 tetrahedra,  an edgeedge with one O(4)Zr4 tetrahedra,  an edgeedge with one O(6)Zr4 tetrahedra, and  an edgeedge with one O(9)Zr4 tetrahedra. In the second O site, O(2) 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(12)YZr3 tetrahedra,  a cornercorner with one O(15)YZr3 tetrahedra,  a cornercorner with one O(19)YZr3 tetrahedra,  a cornercorner with one O(5)YZr3 tetrahedra,  a cornercorner with one O(1)Zr4 tetrahedra,  a cornercorner with one O(18)Zr4 tetrahedra,  a cornercorner with one O(8)Zr4 tetrahedra,  a cornercorner with one O(9)Zr4 tetrahedra, corners with two equivalent O(11)YZr3 tetrahedra, corners with two equivalent O(16)Zr4 tetrahedra, corners with two equivalent O(3)Zr4 tetrahedra, corners with two equivalent O(7)Zr4 tetrahedra,  an edgeedge with one O(10)YZr3 tetrahedra,  an edgeedge with one O(13)YZr3 tetrahedra,  an edgeedge with one O(17)Zr4 tetrahedra,  an edgeedge with one O(4)Zr4 tetrahedra,  an edgeedge with one O(6)Zr4 tetrahedra, and  an edgeedge with one O(9)Zr4 tetrahedra. In the third O site, O(3) is bonded to one Zr(2), one Zr(3), one Zr(5), and one Zr(8) atom to form OZr4 tetrahedra that share  a cornercorner with one O(10)YZr3 tetrahedra,  a cornercorner with one O(11)YZr3 tetrahedra,  a cornercorner with one O(15)YZr3 tetrahedra,  a cornercorner with one O(5)YZr3 tetrahedra,  a cornercorner with one O(17)Zr4 tetrahedra,  a cornercorner with one O(18)Zr4 tetrahedra,  a cornercorner with one O(7)Zr4 tetrahedra,  a cornercorner with one O(8)Zr4 tetrahedra, corners with two equivalent O(12)YZr3 tetrahedra, corners with two equivalent O(1)Zr4 tetrahedra, corners with two equivalent O(2)Zr4 tetrahedra, corners with two equivalent O(6)Zr4 tetrahedra,  an edgeedge with one O(13)YZr3 tetrahedra,  an edgeedge with one O(19)YZr3 tetrahedra,  an edgeedge with one O(17)Zr4 tetrahedra,  an edgeedge with one O(20)Zr4 tetrahedra,  an edgeedge with one O(4)Zr4 tetrahedra, and  an edgeedge with one O(9)Zr4 tetrahedra. In the fourth O site, O(4) is bonded to one Zr(1), one Zr(3), one Zr(4), and one Zr(5) atom to form OZr4 tetrahedra that share  a cornercorner with one O(10)YZr3 tetrahedra,  a cornercorner with one O(14)YZr3 tetrahedra,  a cornercorner with one O(15)YZr3 tetrahedra,  a cornercorner with one O(19)YZr3 tetrahedra,  a cornercorner with one O(16)Zr4 tetrahedra,  a cornercorner with one O(17)Zr4 tetrahedra,  a cornercorner with one O(6)Zr4 tetrahedra,  a cornercorner with one O(7)Zr4 tetrahedra, corners with two equivalent O(13)YZr3 tetrahedra, corners with two equivalent O(18)Zr4 tetrahedra, corners with two equivalent O(20)Zr4 tetrahedra, corners with two equivalent O(9)Zr4 tetrahedra,  an edgeedge with one O(12)YZr3 tetrahedra,  an edgeedge with one O(5)YZr3 tetrahedra,  an edgeedge with one O(1)Zr4 tetrahedra,  an edgeedge with one O(2)Zr4 tetrahedra,  an edgeedge with one O(3)Zr4 tetrahedra, and  an edgeedge with one O(7)Zr4 tetrahedra. In the fifth O site, O(5) is bonded to one Y(1), one Zr(4), one Zr(5), and one Zr(6) atom to form OYZr3 tetrahedra that share  a cornercorner with one O(12)YZr3 tetrahedra,  a cornercorner with one O(13)YZr3 tetrahedra,  a cornercorner with one O(1)Zr4 tetrahedra,  a cornercorner with one O(18)Zr4 tetrahedra,  a cornercorner with one O(2)Zr4 tetrahedra,  a cornercorner with one O(20)Zr4 tetrahedra,  a cornercorner with one O(3)Zr4 tetrahedra,  a cornercorner with one O(8)Zr4 tetrahedra, corners with two equivalent O(11)YZr3 tetrahedra, corners with two equivalent O(15)YZr3 tetrahedra, corners with two equivalent O(19)YZr3 tetrahedra, corners with two equivalent O(7)Zr4 tetrahedra,  an edgeedge with one O(10)YZr3 tetrahedra,  an edgeedge with one O(13)YZr3 tetrahedra,  an edgeedge with one O(14)YZr3 tetrahedra,  an edgeedge with one O(16)Zr4 tetrahedra,  an edgeedge with one O(4)Zr4 tetrahedra, and  an edgeedge with one O(6)Zr4 tetrahedra. In the sixth O site, O(6) is bonded to one Zr(2), one Zr(5), one Zr(6), and one Zr(7) atom to form OZr4 tetrahedra that share  a cornercorner with one O(10)YZr3 tetrahedra,  a cornercorner with one O(11)YZr3 tetrahedra,  a cornercorner with one O(14)YZr3 tetrahedra,  a cornercorner with one O(19)YZr3 tetrahedra,  a cornercorner with one O(17)Zr4 tetrahedra,  a cornercorner with one O(18)Zr4 tetrahedra,  a cornercorner with one O(20)Zr4 tetrahedra,  a cornercorner with one O(4)Zr4 tetrahedra, corners with two equivalent O(13)YZr3 tetrahedra, corners with two equivalent O(16)Zr4 tetrahedra, corners with two equivalent O(3)Zr4 tetrahedra, corners with two equivalent O(9)Zr4 tetrahedra,  an edgeedge with one O(11)YZr3 tetrahedra,  an edgeedge with one O(5)YZr3 tetrahedra,  an edgeedge with one O(1)Zr4 tetrahedra,  an edgeedge with one O(2)Zr4 tetrahedra,  an edgeedge with one O(7)Zr4 tetrahedra, and  an edgeedge with one O(8)Zr4 tetrahedra. In the seventh O site, O(7) is bonded to one Zr(1), one Zr(4), one Zr(5), and one Zr(7) atom to form OZr4 tetrahedra that share  a cornercorner with one O(11)YZr3 tetrahedra,  a cornercorner with one O(12)YZr3 tetrahedra,  a cornercorner with one O(14)YZr3 tetrahedra,  a cornercorner with one O(15)YZr3 tetrahedra,  a cornercorner with one O(18)Zr4 tetrahedra,  a cornercorner with one O(3)Zr4 tetrahedra,  a cornercorner with one O(4)Zr4 tetrahedra,  a cornercorner with one O(8)Zr4 tetrahedra, corners with two equivalent O(10)YZr3 tetrahedra, corners with two equivalent O(5)YZr3 tetrahedra, corners with two equivalent O(1)Zr4 tetrahedra, corners with two equivalent O(2)Zr4 tetrahedra,  an edgeedge with one O(13)YZr3 tetrahedra,  an edgeedge with one O(16)Zr4 tetrahedra,  an edgeedge with one O(20)Zr4 tetrahedra,  an edgeedge with one O(4)Zr4 tetrahedra,  an edgeedge with one O(6)Zr4 tetrahedra, and  an edgeedge with one O(9)Zr4 tetrahedra. In the eighth O site, O(8) is bonded to one Zr(6), one Zr(7), one Zr(8), and one Zr(9) atom to form OZr4 tetrahedra that share  a cornercorner with one O(12)YZr3 tetrahedra,  a cornercorner with one O(5)YZr3 tetrahedra,  a cornercorner with one O(1)Zr4 tetrahedra,  a cornercorner with one O(16)Zr4 tetrahedra,  a cornercorner with one O(2)Zr4 tetrahedra,  a cornercorner with one O(3)Zr4 tetrahedra,  a cornercorner with one O(7)Zr4 tetrahedra,  a cornercorner with one O(9)Zr4 tetrahedra, corners with two equivalent O(11)YZr3 tetrahedra, corners with two equivalent O(15)YZr3 tetrahedra, corners with two equivalent O(18)Zr4 tetrahedra, corners with two equivalent O(20)Zr4 tetrahedra,  an edgeedge with one O(10)YZr3 tetrahedra,  an edgeedge with one O(14)YZr3 tetrahedra,  an edgeedge with one O(19)YZr3 tetrahedra,  an edgeedge with one O(16)Zr4 tetrahedra,  an edgeedge with one O(17)Zr4 tetrahedra, and  an edgeedge with one O(6)Zr4 tetrahedra. In the ninth O site, O(9) is bonded to one Zr(1), one Zr(2), one Zr(3), and one Zr(7) atom to form OZr4 tetrahedra that share  a cornercorner with one O(10)YZr3 tetrahedra,  a cornercorner with one O(13)YZr3 tetrahedra,  a cornercorner with one O(14)YZr3 tetrahedra,  a cornercorner with one O(19)YZr3 tetrahedra,  a cornercorner with one O(16)Zr4 tetrahedra,  a cornercorner with one O(2)Zr4 tetrahedra,  a cornercorner with one O(20)Zr4 tetrahedra,  a cornercorner with one O(8)Zr4 tetrahedra, corners with two equivalent O(12)YZr3 tetrahedra, corners with two equivalent O(17)Zr4 tetrahedra, corners with two equivalent O(4)Zr4 tetrahedra, corners with two equivalent O(6)Zr4 tetrahedra,  an edgeedge with one O(11)YZr3 tetrahedra,  an edgeedge with one O(1)Zr4 tetrahedra,  an edgeedge with one O(18)Zr4 tetrahedra,  an edgeedge with one O(2)Zr4 tetrahedra,  an edgeedge with one O(3)Zr4 tetrahedra, and  an edgeedge with one O(7)Zr4 tetrahedra. In the tenth O site, O(10) is bonded to one Y(1), one Zr(4), one Zr(7), and one Zr(8) atom to form OYZr3 tetrahedra that share  a cornercorner with one O(14)YZr3 tetrahedra,  a cornercorner with one O(15)YZr3 tetrahedra,  a cornercorner with one O(17)Zr4 tetrahedra,  a cornercorner with one O(20)Zr4 tetrahedra,  a cornercorner with one O(3)Zr4 tetrahedra,  a cornercorner with one O(4)Zr4 tetrahedra,  a cornercorner with one O(6)Zr4 tetrahedra,  a cornercorner with one O(9)Zr4 tetrahedra, corners with two equivalent O(13)YZr3 tetrahedra, corners with two equivalent O(19)YZr3 tetrahedra, corners with two equivalent O(16)Zr4 tetrahedra, corners with two equivalent O(7)Zr4 tetrahedra,  an edgeedge with one O(11)YZr3 tetrahedra,  an edgeedge with one O(12)YZr3 tetrahedra,  an edgeedge with one O(15)YZr3 tetrahedra,  an edgeedge with one O(5)YZr3 tetrahedra,  an edgeedge with one O(2)Zr4 tetrahedra, and  an edgeedge with one O(8)Zr4 tetrahedra. In the eleventh O site, O(11) is bonded to one Y(1), one Zr(2), one Zr(6), and one Zr(7) atom to form OYZr3 tetrahedra that share  a cornercorner with one O(12)YZr3 tetrahedra,  a cornercorner with one O(15)YZr3 tetrahedra,  a cornercorner with one O(1)Zr4 tetrahedra,  a cornercorner with one O(17)Zr4 tetrahedra,  a cornercorner with one O(18)Zr4 tetrahedra,  a cornercorner with one O(3)Zr4 tetrahedra,  a cornercorner with one O(6)Zr4 tetrahedra,  a cornercorner with one O(7)Zr4 tetrahedra, corners with two equivalent O(14)YZr3 tetrahedra, corners with two equivalent O(5)YZr3 tetrahedra, corners with two equivalent O(2)Zr4 tetrahedra, corners with two equivalent O(8)Zr4 tetrahedra,  an edgeedge with one O(10)YZr3 tetrahedra,  an edgeedge with one O(13)YZr3 tetrahedra,  an edgeedge with one O(19)YZr3 tetrahedra,  an edgeedge with one O(16)Zr4 tetrahedra,  an edgeedge with one O(6)Zr4 tetrahedra, and  an edgeedge with one O(9)Zr4 tetrahedra. In the twelfth O site, O(12) is bonded to one Y(1), one Zr(1), one Zr(3), and one Zr(8) atom to form OYZr3 tetrahedra that share  a cornercorner with one O(11)YZr3 tetrahedra,  a cornercorner with one O(13)YZr3 tetrahedra,  a cornercorner with one O(19)YZr3 tetrahedra,  a cornercorner with one O(5)YZr3 tetrahedra,  a cornercorner with one O(1)Zr4 tetrahedra,  a cornercorner with one O(2)Zr4 tetrahedra,  a cornercorner with one O(7)Zr4 tetrahedra,  a cornercorner with one O(8)Zr4 tetrahedra, corners with two equivalent O(15)YZr3 tetrahedra, corners with two equivalent O(18)Zr4 tetrahedra, corners with two equivalent O(3)Zr4 tetrahedra, corners with two equivalent O(9)Zr4 tetrahedra,  an edgeedge with one O(10)YZr3 tetrahedra,  an edgeedge with one O(14)YZr3 tetrahedra,  an edgeedge with one O(19)YZr3 tetrahedra,  an edgeedge with one O(17)Zr4 tetrahedra,  an edgeedge with one O(20)Zr4 tetrahedra, and  an edgeedge with one O(4)Zr4 tetrahedra. In the thirteenth O site, O(13) is bonded to one Y(1), one Zr(2), one Zr(4), and one Zr(5) atom to form OYZr3 tetrahedra that share  a cornercorner with one O(12)YZr3 tetrahedra,  a cornercorner with one O(14)YZr3 tetrahedra,  a cornercorner with one O(19)YZr3 tetrahedra,  a cornercorner with one O(5)YZr3 tetrahedra,  a cornercorner with one O(16)Zr4 tetrahedra,  a cornercorner with one O(17)Zr4 tetrahedra,  a cornercorner with one O(20)Zr4 tetrahedra,  a cornercorner with one O(9)Zr4 tetrahedra, corners with two equivalent O(10)YZr3 tetrahedra, corners with two equivalent O(1)Zr4 tetrahedra, corners with two equivalent O(4)Zr4 tetrahedra, corners with two equivalent O(6)Zr4 tetrahedra,  an edgeedge with one O(11)YZr3 tetrahedra,  an edgeedge with one O(15)YZr3 tetrahedra,  an edgeedge with one O(5)YZr3 tetrahedra,  an edgeedge with one O(2)Zr4 tetrahedra,  an edgeedge with one O(3)Zr4 tetrahedra, and  an edgeedge with one O(7)Zr4 tetrahedra. In the fourteenth O site, O(14) is bonded to one Y(1), one Zr(1), one Zr(6), and one Zr(9) atom to form OYZr3 tetrahedra that share  a cornercorner with one O(10)YZr3 tetrahedra,  a cornercorner with one O(13)YZr3 tetrahedra,  a cornercorner with one O(17)Zr4 tetrahedra,  a cornercorner with one O(18)Zr4 tetrahedra,  a cornercorner with one O(4)Zr4 tetrahedra,  a cornercorner with one O(6)Zr4 tetrahedra,  a cornercorner with one O(7)Zr4 tetrahedra,  a cornercorner with one O(9)Zr4 tetrahedra, corners with two equivalent O(11)YZr3 tetrahedra, corners with two equivalent O(19)YZr3 tetrahedra, corners with two equivalent O(16)Zr4 tetrahedra, corners with two equivalent O(20)Zr4 tetrahedra,  an edgeedge with one O(12)YZr3 tetrahedra,  an edgeedge with one O(15)YZr3 tetrahedra,  an edgeedge with one O(5)YZr3 tetrahedra,  an edgeedge with one O(1)Zr4 tetrahedra,  an edgeedge with one O(18)Zr4 tetrahedra, and  an edgeedge with one O(8)Zr4 tetrahedra. In the fifteenth O site, O(15) is bonded to one Y(1), one Zr(4), one Zr(8), and one Zr(9) atom to form OYZr3 tetrahedra that share  a cornercorner with one O(10)YZr3 tetrahedra,  a cornercorner with one O(11)YZr3 tetrahedra,  a cornercorner with one O(1)Zr4 tetrahedra,  a cornercorner with one O(18)Zr4 tetrahedra,  a cornercorner with one O(2)Zr4 tetrahedra,  a cornercorner with one O(3)Zr4 tetrahedra,  a cornercorner with one O(4)Zr4 tetrahedra,  a cornercorner with one O(7)Zr4 tetrahedra, corners with two equivalent O(12)YZr3 tetrahedra, corners with two equivalent O(5)YZr3 tetrahedra, corners with two equivalent O(17)Zr4 tetrahedra, corners with two equivalent O(8)Zr4 tetrahedra,  an edgeedge with one O(10)YZr3 tetrahedra,  an edgeedge with one O(13)YZr3 tetrahedra,  an edgeedge with one O(14)YZr3 tetrahedra,  an edgeedge with one O(19)YZr3 tetrahedra,  an edgeedge with one O(16)Zr4 tetrahedra, and  an edgeedge with one O(20)Zr4 tetrahedra. In the sixteenth O site, O(16) is bonded to one Zr(4), one Zr(6), one Zr(7), and one Zr(9) atom to form OZr4 tetrahedra that share  a cornercorner with one O(13)YZr3 tetrahedra,  a cornercorner with one O(19)YZr3 tetrahedra,  a cornercorner with one O(1)Zr4 tetrahedra,  a cornercorner with one O(17)Zr4 tetrahedra,  a cornercorner with one O(20)Zr4 tetrahedra,  a cornercorner with one O(4)Zr4 tetrahedra,  a cornercorner with one O(8)Zr4 tetrahedra,  a cornercorner with one O(9)Zr4 tetrahedra, corners with two equivalent O(10)YZr3 tetrahedra, corners with two equivalent O(14)YZr3 tetrahedra, corners with two equivalent O(2)Zr4 tetrahedra, corners with two equivalent O(6)Zr4 tetrahedra,  an edgeedge with one O(11)YZr3 tetrahedra,  an edgeedge with one O(15)YZr3 tetrahedra,  an edgeedge with one O(5)YZr3 tetrahedra,  an edgeedge with one O(18)Zr4 tetrahedra,  an edgeedge with one O(7)Zr4 tetrahedra, and  an edgeedge with one O(8)Zr4 tetrahedra. In the seventeenth O site, O(17) is bonded to one Zr(2), one Zr(3), one Zr(8), and one Zr(9) atom to form OZr4 tetrahedra that share  a cornercorner with one O(10)YZr3 tetrahedra,  a cornercorner with one O(11)YZr3 tetrahedra,  a cornercorner with one O(13)YZr3 tetrahedra,  a cornercorner with one O(14)YZr3 tetrahedra,  a cornercorner with one O(16)Zr4 tetrahedra,  a cornercorner with one O(3)Zr4 tetrahedra,  a cornercorner with one O(4)Zr4 tetrahedra,  a cornercorner with one O(6)Zr4 tetrahedra, corners with two equivalent O(15)YZr3 tetrahedra, corners with two equivalent O(19)YZr3 tetrahedra, corners with two equivalent O(20)Zr4 tetrahedra, corners with two equivalent O(9)Zr4 tetrahedra,  an edgeedge with one O(12)YZr3 tetrahedra,  an edgeedge with one O(1)Zr4 tetrahedra,  an edgeedge with one O(18)Zr4 tetrahedra,  an edgeedge with one O(2)Zr4 tetrahedra,  an edgeedge with one O(3)Zr4 tetrahedra, and  an edgeedge with one O(8)Zr4 tetrahedra. In the eighteenth O site, O(18) is bonded to one Zr(1), one Zr(3), one Zr(6), and one Zr(9) atom to form OZr4 tetrahedra that share  a cornercorner with one O(11)YZr3 tetrahedra,  a cornercorner with one O(14)YZr3 tetrahedra,  a cornercorner with one O(15)YZr3 tetrahedra,  a cornercorner with one O(5)YZr3 tetrahedra,  a cornercorner with one O(2)Zr4 tetrahedra,  a cornercorner with one O(3)Zr4 tetrahedra,  a cornercorner with one O(6)Zr4 tetrahedra,  a cornercorner with one O(7)Zr4 tetrahedra, corners with two equivalent O(12)YZr3 tetrahedra, corners with two equivalent O(1)Zr4 tetrahedra, corners with two equivalent O(4)Zr4 tetrahedra, corners with two equivalent O(8)Zr4 tetrahedra,  an edgeedge with one O(14)YZr3 tetrahedra,  an edgeedge with one O(19)YZr3 tetrahedra,  an edgeedge with one O(16)Zr4 tetrahedra,  an edgeedge with one O(17)Zr4 tetrahedra,  an edgeedge with one O(20)Zr4 tetrahedra, and  an edgeedge with one O(9)Zr4 tetrahedra. In the nineteenth O site, O(19) is bonded to one Y(1), one Zr(3), one Zr(6), and one Zr(8) atom to form OYZr3 tetrahedra that share  a cornercorner with one O(12)YZr3 tetrahedra,  a cornercorner with one O(13)YZr3 tetrahedra,  a cornercorner with one O(16)Zr4 tetrahedra,  a cornercorner with one O(2)Zr4 tetrahedra,  a cornercorner with one O(20)Zr4 tetrahedra,  a cornercorner with one O(4)Zr4 tetrahedra,  a cornercorner with one O(6)Zr4 tetrahedra,  a cornercorner with one O(9)Zr4 tetrahedra, corners with two equivalent O(10)YZr3 tetrahedra, corners with two equivalent O(14)YZr3 tetrahedra, corners with two equivalent O(5)YZr3 tetrahedra, corners with two equivalent O(17)Zr4 tetrahedra,  an edgeedge with one O(11)YZr3 tetrahedra,  an edgeedge with one O(12)YZr3 tetrahedra,  an edgeedge with one O(15)YZr3 tetrahedra,  an edgeedge with one O(18)Zr4 tetrahedra,  an edgeedge with one O(3)Zr4 tetrahedra, and  an edgeedge with one O(8)Zr4 tetrahedra. In the twentieth O site, O(20) is bonded to one Zr(1), one Zr(5), one Zr(8), and one Zr(9) atom to form OZr4 tetrahedra that share  a cornercorner with one O(10)YZr3 tetrahedra,  a cornercorner with one O(13)YZr3 tetrahedra,  a cornercorner with one O(19)YZr3 tetrahedra,  a cornercorner with one O(5)YZr3 tetrahedra,  a cornercorner with one O(1)Zr4 tetrahedra,  a cornercorner with one O(16)Zr4 tetrahedra,  a cornercorner with one O(6)Zr4 tetrahedra,  a cornercorner with one O(9)Zr4 tetrahedra, corners with two equivalent O(14)YZr3 tetrahedra, corners with two equivalent O(17)Zr4 tetrahedra, corners with two equivalent O(4)Zr4 tetrahedra, corners with two equivalent O(8)Zr4 tetrahedra,  an edgeedge with one O(12)YZr3 tetrahedra,  an edgeedge with one O(15)YZr3 tetrahedra,  an edgeedge with one O(1)Zr4 tetrahedra,  an edgeedge with one O(18)Zr4 tetrahedra,  an edgeedge with one O(3)Zr4 tetrahedra, and  an edgeedge with one O(7)Zr4 tetrahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_YZr9O20
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.409
_cell_length_b   7.387
_cell_length_c   8.176
_cell_angle_alpha   77.127
_cell_angle_beta   75.304
_cell_angle_gamma   72.533
_symmetry_Int_Tables_number   1
_cell_volume   352.593
_cell_formula_units_Z   1
loop_
 _symmetry_equiv_pos_site_id
 _symmetry_equiv_pos_as_xyz
  1  'x, y, z'
loop_
 _atom_site_type_symbol
 _atom_site_label
 _atom_site_symmetry_multiplicity
 _atom_site_fract_x
 _atom_site_fract_y
 _atom_site_fract_z
 _atom_site_occupancy
  Y  Y0  1  0.201  0.301  0.600  1.0
  Zr  Zr1  1  0.998  0.001  0.000  1.0
  Zr  Zr2  1  0.399  0.602  0.201  1.0
  Zr  Zr3  1  0.000  0.501  0.998  1.0
  Zr  Zr4  1  0.802  0.199  0.402  1.0
  Zr  Zr5  1  0.401  0.100  0.201  1.0
  Zr  Zr6  1  0.201  0.800  0.597  1.0
  Zr  Zr7  1  0.801  0.699  0.400  1.0
  Zr  Zr8  1  0.601  0.398  0.800  1.0
  Zr  Zr9  1  0.596  0.899  0.801  1.0
  O  O10  1  0.371  0.916  0.046  1.0
  O  O11  1  0.776  0.515  0.240  1.0
  O  O12  1  0.326  0.383  0.058  1.0
  O  O13  1  0.028  0.185  0.157  1.0
  O  O14  1  0.169  0.102  0.437  1.0
  O  O15  1  0.438  0.781  0.358  1.0
  O  O16  1  0.730  0.984  0.258  1.0
  O  O17  1  0.574  0.716  0.642  1.0
  O  O18  1  0.075  0.715  0.137  1.0
  O  O19  1  0.823  0.393  0.553  1.0
  O  O20  1  0.130  0.602  0.448  1.0
  O  O21  1  0.956  0.315  0.854  1.0
  O  O22  1  0.478  0.314  0.336  1.0
  O  O23  1  0.229  0.978  0.762  1.0
  O  O24  1  0.546  0.182  0.661  1.0
  O  O25  1  0.868  0.913  0.545  1.0
  O  O26  1  0.620  0.589  0.957  1.0
  O  O27  1  0.923  0.786  0.857  1.0
  O  O28  1  0.272  0.520  0.747  1.0
  O  O29  1  0.669  0.113  0.948  1.0
[/CIF]
.