LaZr9O20 crystallizes in the triclinic P1 space group. La(1) is bonded in a body-centered cubic geometry to one O(11), one O(12), one O(13), one O(14), one O(16), one O(19), one O(20), and one O(7) atom. 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(15), one O(19), one O(2), one O(20), one O(4), and one O(9) atom. In the second Zr site, Zr(2) is bonded in a distorted body-centered cubic geometry to one O(15), one O(16), one O(20), one O(3), one O(4), one O(5), one O(6), and one O(9) atom. In the third Zr site, Zr(3) is bonded in a 8-coordinate geometry to one O(1), one O(13), one O(14), one O(3), one O(4), one O(5), one O(6), and one O(8) atom. In the fourth Zr site, Zr(4) is bonded in a distorted body-centered cubic geometry to one O(1), one O(10), one O(13), one O(2), one O(6), one O(7), one O(8), and one O(9) atom. In the fifth Zr site, Zr(5) is bonded in a distorted body-centered cubic geometry to one O(10), one O(12), one O(17), one O(18), one O(3), one O(7), one O(8), and one O(9) atom. In the sixth Zr site, Zr(6) is bonded in a distorted body-centered cubic geometry to one O(10), one O(11), one O(12), one O(13), one O(14), one O(17), one O(3), and one O(4) atom. In the seventh Zr site, Zr(7) is bonded in a distorted body-centered cubic geometry to one O(14), one O(15), one O(16), one O(17), one O(18), one O(19), one O(7), and one O(8) atom. In the eighth Zr site, Zr(8) is bonded in a distorted body-centered cubic geometry to one O(11), one O(15), one O(16), one O(17), one O(18), one O(2), one O(5), and one O(6) atom. In the ninth Zr site, Zr(9) is bonded in a distorted body-centered cubic geometry to one O(1), one O(11), one O(12), one O(18), one O(19), one O(2), one O(20), and one O(5) atom. There are twenty inequivalent O sites. In the first O site, O(1) is bonded to one Zr(1), one Zr(3), one Zr(4), and one Zr(9) atom to form distorted OZr4 tetrahedra that share  a cornercorner with one O(11)LaZr3 tetrahedra,  a cornercorner with one O(12)LaZr3 tetrahedra,  a cornercorner with one O(14)LaZr3 tetrahedra,  a cornercorner with one O(7)LaZr3 tetrahedra,  a cornercorner with one O(15)Zr4 tetrahedra,  a cornercorner with one O(18)Zr4 tetrahedra,  a cornercorner with one O(2)Zr4 tetrahedra, corners with two equivalent O(20)LaZr3 tetrahedra, corners with two equivalent O(10)Zr4 tetrahedra, corners with two equivalent O(8)Zr4 tetrahedra,  an edgeedge with one O(13)LaZr3 tetrahedra,  an edgeedge with one O(19)LaZr3 tetrahedra,  an edgeedge with one O(2)Zr4 tetrahedra,  an edgeedge with one O(4)Zr4 tetrahedra,  an edgeedge with one O(5)Zr4 tetrahedra, and  an edgeedge with one O(9)Zr4 tetrahedra. In the second O site, O(2) is bonded to one Zr(1), one Zr(4), one Zr(8), and one Zr(9) atom to form distorted OZr4 tetrahedra that share  a cornercorner with one O(12)LaZr3 tetrahedra,  a cornercorner with one O(13)LaZr3 tetrahedra,  a cornercorner with one O(16)LaZr3 tetrahedra,  a cornercorner with one O(7)LaZr3 tetrahedra,  a cornercorner with one O(1)Zr4 tetrahedra,  a cornercorner with one O(17)Zr4 tetrahedra,  a cornercorner with one O(4)Zr4 tetrahedra,  a cornercorner with one O(8)Zr4 tetrahedra, corners with two equivalent O(11)LaZr3 tetrahedra, corners with two equivalent O(19)LaZr3 tetrahedra, corners with two equivalent O(5)Zr4 tetrahedra, corners with two equivalent O(9)Zr4 tetrahedra,  an edgeedge with one O(20)LaZr3 tetrahedra,  an edgeedge with one O(1)Zr4 tetrahedra,  an edgeedge with one O(10)Zr4 tetrahedra,  an edgeedge with one O(15)Zr4 tetrahedra, and  an edgeedge with one O(18)Zr4 tetrahedra. In the third O site, O(3) is bonded in a 4-coordinate geometry to one Zr(2), one Zr(3), one Zr(5), and one Zr(6) atom. In the fourth O site, O(4) is bonded to one Zr(1), one Zr(2), one Zr(3), and one Zr(6) atom to form distorted OZr4 tetrahedra that share  a cornercorner with one O(11)LaZr3 tetrahedra,  a cornercorner with one O(12)LaZr3 tetrahedra,  a cornercorner with one O(16)LaZr3 tetrahedra,  a cornercorner with one O(19)LaZr3 tetrahedra,  a cornercorner with one O(17)Zr4 tetrahedra,  a cornercorner with one O(2)Zr4 tetrahedra,  a cornercorner with one O(8)Zr4 tetrahedra, corners with two equivalent O(13)LaZr3 tetrahedra, corners with two equivalent O(15)Zr4 tetrahedra, corners with two equivalent O(5)Zr4 tetrahedra, corners with two equivalent O(9)Zr4 tetrahedra,  an edgeedge with one O(14)LaZr3 tetrahedra,  an edgeedge with one O(20)LaZr3 tetrahedra,  an edgeedge with one O(1)Zr4 tetrahedra, and  an edgeedge with one O(10)Zr4 tetrahedra. In the fifth O site, O(5) is bonded to one Zr(2), one Zr(3), one Zr(8), and one Zr(9) atom to form distorted OZr4 tetrahedra that share  a cornercorner with one O(12)LaZr3 tetrahedra,  a cornercorner with one O(13)LaZr3 tetrahedra,  a cornercorner with one O(14)LaZr3 tetrahedra,  a cornercorner with one O(19)LaZr3 tetrahedra,  a cornercorner with one O(17)Zr4 tetrahedra,  a cornercorner with one O(8)Zr4 tetrahedra,  a cornercorner with one O(9)Zr4 tetrahedra, corners with two equivalent O(16)LaZr3 tetrahedra, corners with two equivalent O(18)Zr4 tetrahedra, corners with two equivalent O(2)Zr4 tetrahedra, corners with two equivalent O(4)Zr4 tetrahedra,  an edgeedge with one O(11)LaZr3 tetrahedra,  an edgeedge with one O(20)LaZr3 tetrahedra,  an edgeedge with one O(1)Zr4 tetrahedra, and  an edgeedge with one O(15)Zr4 tetrahedra. In the sixth O site, O(6) is bonded in a 4-coordinate geometry to one Zr(2), one Zr(3), one Zr(4), and one Zr(8) atom. In the seventh O site, O(7) is bonded to one La(1), one Zr(4), one Zr(5), and one Zr(7) atom to form distorted OLaZr3 tetrahedra that share  a cornercorner with one O(11)LaZr3 tetrahedra,  a cornercorner with one O(20)LaZr3 tetrahedra,  a cornercorner with one O(1)Zr4 tetrahedra,  a cornercorner with one O(15)Zr4 tetrahedra,  a cornercorner with one O(2)Zr4 tetrahedra,  a cornercorner with one O(8)Zr4 tetrahedra, corners with two equivalent O(14)LaZr3 tetrahedra, corners with two equivalent O(16)LaZr3 tetrahedra, corners with two equivalent O(10)Zr4 tetrahedra, corners with two equivalent O(18)Zr4 tetrahedra,  an edgeedge with one O(12)LaZr3 tetrahedra,  an edgeedge with one O(13)LaZr3 tetrahedra,  an edgeedge with one O(19)LaZr3 tetrahedra,  an edgeedge with one O(17)Zr4 tetrahedra,  an edgeedge with one O(8)Zr4 tetrahedra, and  an edgeedge with one O(9)Zr4 tetrahedra. In the eighth O site, O(8) is bonded to one Zr(3), one Zr(4), one Zr(5), and one Zr(7) atom to form distorted OZr4 tetrahedra that share  a cornercorner with one O(12)LaZr3 tetrahedra,  a cornercorner with one O(16)LaZr3 tetrahedra,  a cornercorner with one O(19)LaZr3 tetrahedra,  a cornercorner with one O(7)LaZr3 tetrahedra,  a cornercorner with one O(15)Zr4 tetrahedra,  a cornercorner with one O(2)Zr4 tetrahedra,  a cornercorner with one O(4)Zr4 tetrahedra,  a cornercorner with one O(5)Zr4 tetrahedra, corners with two equivalent O(13)LaZr3 tetrahedra, corners with two equivalent O(1)Zr4 tetrahedra, corners with two equivalent O(17)Zr4 tetrahedra, corners with two equivalent O(9)Zr4 tetrahedra,  an edgeedge with one O(14)LaZr3 tetrahedra,  an edgeedge with one O(7)LaZr3 tetrahedra,  an edgeedge with one O(10)Zr4 tetrahedra, and  an edgeedge with one O(18)Zr4 tetrahedra. In the ninth O site, O(9) 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)LaZr3 tetrahedra,  a cornercorner with one O(13)LaZr3 tetrahedra,  a cornercorner with one O(16)LaZr3 tetrahedra,  a cornercorner with one O(19)LaZr3 tetrahedra,  a cornercorner with one O(10)Zr4 tetrahedra,  a cornercorner with one O(17)Zr4 tetrahedra,  a cornercorner with one O(18)Zr4 tetrahedra,  a cornercorner with one O(5)Zr4 tetrahedra, corners with two equivalent O(20)LaZr3 tetrahedra, corners with two equivalent O(2)Zr4 tetrahedra, corners with two equivalent O(4)Zr4 tetrahedra, corners with two equivalent O(8)Zr4 tetrahedra,  an edgeedge with one O(7)LaZr3 tetrahedra,  an edgeedge with one O(1)Zr4 tetrahedra,  an edgeedge with one O(10)Zr4 tetrahedra, and  an edgeedge with one O(15)Zr4 tetrahedra. In the tenth O site, O(10) is bonded to one Zr(1), one Zr(4), one Zr(5), and one Zr(6) atom to form distorted OZr4 tetrahedra that share  a cornercorner with one O(11)LaZr3 tetrahedra,  a cornercorner with one O(14)LaZr3 tetrahedra,  a cornercorner with one O(19)LaZr3 tetrahedra,  a cornercorner with one O(20)LaZr3 tetrahedra,  a cornercorner with one O(15)Zr4 tetrahedra,  a cornercorner with one O(18)Zr4 tetrahedra,  a cornercorner with one O(9)Zr4 tetrahedra, corners with two equivalent O(7)LaZr3 tetrahedra, corners with two equivalent O(1)Zr4 tetrahedra, corners with two equivalent O(17)Zr4 tetrahedra,  an edgeedge with one O(12)LaZr3 tetrahedra,  an edgeedge with one O(13)LaZr3 tetrahedra,  an edgeedge with one O(2)Zr4 tetrahedra,  an edgeedge with one O(4)Zr4 tetrahedra,  an edgeedge with one O(8)Zr4 tetrahedra, and  an edgeedge with one O(9)Zr4 tetrahedra. In the eleventh O site, O(11) is bonded to one La(1), one Zr(6), one Zr(8), and one Zr(9) atom to form distorted OLaZr3 tetrahedra that share  a cornercorner with one O(12)LaZr3 tetrahedra,  a cornercorner with one O(7)LaZr3 tetrahedra,  a cornercorner with one O(1)Zr4 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(14)LaZr3 tetrahedra, corners with two equivalent O(20)LaZr3 tetrahedra, corners with two equivalent O(18)Zr4 tetrahedra, corners with two equivalent O(2)Zr4 tetrahedra,  an edgeedge with one O(12)LaZr3 tetrahedra,  an edgeedge with one O(13)LaZr3 tetrahedra,  an edgeedge with one O(16)LaZr3 tetrahedra,  an edgeedge with one O(19)LaZr3 tetrahedra,  an edgeedge with one O(17)Zr4 tetrahedra, and  an edgeedge with one O(5)Zr4 tetrahedra. In the twelfth O site, O(12) is bonded to one La(1), one Zr(5), one Zr(6), and one Zr(9) atom to form distorted OLaZr3 tetrahedra that share  a cornercorner with one O(11)LaZr3 tetrahedra,  a cornercorner with one O(16)LaZr3 tetrahedra,  a cornercorner with one O(1)Zr4 tetrahedra,  a cornercorner with one O(2)Zr4 tetrahedra,  a cornercorner with one O(4)Zr4 tetrahedra,  a cornercorner with one O(5)Zr4 tetrahedra,  a cornercorner with one O(8)Zr4 tetrahedra,  a cornercorner with one O(9)Zr4 tetrahedra, corners with two equivalent O(13)LaZr3 tetrahedra, corners with two equivalent O(19)LaZr3 tetrahedra, corners with two equivalent O(17)Zr4 tetrahedra,  an edgeedge with one O(11)LaZr3 tetrahedra,  an edgeedge with one O(14)LaZr3 tetrahedra,  an edgeedge with one O(20)LaZr3 tetrahedra,  an edgeedge with one O(7)LaZr3 tetrahedra,  an edgeedge with one O(10)Zr4 tetrahedra, and  an edgeedge with one O(18)Zr4 tetrahedra. In the thirteenth O site, O(13) is bonded to one La(1), one Zr(3), one Zr(4), and one Zr(6) atom to form OLaZr3 tetrahedra that share  a cornercorner with one O(14)LaZr3 tetrahedra,  a cornercorner with one O(16)LaZr3 tetrahedra,  a cornercorner with one O(19)LaZr3 tetrahedra,  a cornercorner with one O(20)LaZr3 tetrahedra,  a cornercorner with one O(17)Zr4 tetrahedra,  a cornercorner with one O(2)Zr4 tetrahedra,  a cornercorner with one O(5)Zr4 tetrahedra,  a cornercorner with one O(9)Zr4 tetrahedra, corners with two equivalent O(12)LaZr3 tetrahedra, corners with two equivalent O(4)Zr4 tetrahedra, corners with two equivalent O(8)Zr4 tetrahedra,  an edgeedge with one O(11)LaZr3 tetrahedra,  an edgeedge with one O(14)LaZr3 tetrahedra,  an edgeedge with one O(7)LaZr3 tetrahedra,  an edgeedge with one O(1)Zr4 tetrahedra, and  an edgeedge with one O(10)Zr4 tetrahedra. In the fourteenth O site, O(14) is bonded to one La(1), one Zr(3), one Zr(6), and one Zr(7) atom to form distorted OLaZr3 tetrahedra that share  a cornercorner with one O(13)LaZr3 tetrahedra,  a cornercorner with one O(20)LaZr3 tetrahedra,  a cornercorner with one O(1)Zr4 tetrahedra,  a cornercorner with one O(10)Zr4 tetrahedra,  a cornercorner with one O(15)Zr4 tetrahedra,  a cornercorner with one O(18)Zr4 tetrahedra,  a cornercorner with one O(5)Zr4 tetrahedra, corners with two equivalent O(11)LaZr3 tetrahedra, corners with two equivalent O(19)LaZr3 tetrahedra, corners with two equivalent O(7)LaZr3 tetrahedra,  an edgeedge with one O(12)LaZr3 tetrahedra,  an edgeedge with one O(13)LaZr3 tetrahedra,  an edgeedge with one O(16)LaZr3 tetrahedra,  an edgeedge with one O(17)Zr4 tetrahedra,  an edgeedge with one O(4)Zr4 tetrahedra, and  an edgeedge with one O(8)Zr4 tetrahedra. In the fifteenth O site, O(15) is bonded to one Zr(1), one Zr(2), one Zr(7), and one Zr(8) atom to form distorted OZr4 tetrahedra that share  a cornercorner with one O(11)LaZr3 tetrahedra,  a cornercorner with one O(14)LaZr3 tetrahedra,  a cornercorner with one O(16)LaZr3 tetrahedra,  a cornercorner with one O(7)LaZr3 tetrahedra,  a cornercorner with one O(1)Zr4 tetrahedra,  a cornercorner with one O(10)Zr4 tetrahedra,  a cornercorner with one O(8)Zr4 tetrahedra, corners with two equivalent O(20)LaZr3 tetrahedra, corners with two equivalent O(18)Zr4 tetrahedra, corners with two equivalent O(4)Zr4 tetrahedra,  an edgeedge with one O(16)LaZr3 tetrahedra,  an edgeedge with one O(19)LaZr3 tetrahedra,  an edgeedge with one O(17)Zr4 tetrahedra,  an edgeedge with one O(2)Zr4 tetrahedra,  an edgeedge with one O(5)Zr4 tetrahedra, and  an edgeedge with one O(9)Zr4 tetrahedra. In the sixteenth O site, O(16) is bonded to one La(1), one Zr(2), one Zr(7), and one Zr(8) atom to form OLaZr3 tetrahedra that share  a cornercorner with one O(12)LaZr3 tetrahedra,  a cornercorner with one O(13)LaZr3 tetrahedra,  a cornercorner with one O(15)Zr4 tetrahedra,  a cornercorner with one O(2)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(19)LaZr3 tetrahedra, corners with two equivalent O(7)LaZr3 tetrahedra, corners with two equivalent O(17)Zr4 tetrahedra, corners with two equivalent O(5)Zr4 tetrahedra,  an edgeedge with one O(11)LaZr3 tetrahedra,  an edgeedge with one O(14)LaZr3 tetrahedra,  an edgeedge with one O(20)LaZr3 tetrahedra,  an edgeedge with one O(15)Zr4 tetrahedra, and  an edgeedge with one O(18)Zr4 tetrahedra. In the seventeenth O site, O(17) is bonded to one Zr(5), one Zr(6), one Zr(7), and one Zr(8) atom to form distorted OZr4 tetrahedra that share  a cornercorner with one O(13)LaZr3 tetrahedra,  a cornercorner with one O(19)LaZr3 tetrahedra,  a cornercorner with one O(18)Zr4 tetrahedra,  a cornercorner with one O(2)Zr4 tetrahedra,  a cornercorner with one O(4)Zr4 tetrahedra,  a cornercorner with one O(5)Zr4 tetrahedra,  a cornercorner with one O(9)Zr4 tetrahedra, corners with two equivalent O(12)LaZr3 tetrahedra, corners with two equivalent O(16)LaZr3 tetrahedra, corners with two equivalent O(10)Zr4 tetrahedra, corners with two equivalent O(8)Zr4 tetrahedra,  an edgeedge with one O(11)LaZr3 tetrahedra,  an edgeedge with one O(14)LaZr3 tetrahedra,  an edgeedge with one O(7)LaZr3 tetrahedra,  an edgeedge with one O(15)Zr4 tetrahedra, and  an edgeedge with one O(18)Zr4 tetrahedra. In the eighteenth O site, O(18) is bonded to one Zr(5), one Zr(7), one Zr(8), and one Zr(9) atom to form distorted OZr4 tetrahedra that share  a cornercorner with one O(14)LaZr3 tetrahedra,  a cornercorner with one O(20)LaZr3 tetrahedra,  a cornercorner with one O(1)Zr4 tetrahedra,  a cornercorner with one O(10)Zr4 tetrahedra,  a cornercorner with one O(17)Zr4 tetrahedra,  a cornercorner with one O(9)Zr4 tetrahedra, corners with two equivalent O(11)LaZr3 tetrahedra, corners with two equivalent O(7)LaZr3 tetrahedra, corners with two equivalent O(15)Zr4 tetrahedra, corners with two equivalent O(5)Zr4 tetrahedra,  an edgeedge with one O(12)LaZr3 tetrahedra,  an edgeedge with one O(16)LaZr3 tetrahedra,  an edgeedge with one O(19)LaZr3 tetrahedra,  an edgeedge with one O(17)Zr4 tetrahedra,  an edgeedge with one O(2)Zr4 tetrahedra, and  an edgeedge with one O(8)Zr4 tetrahedra. In the nineteenth O site, O(19) is bonded to one La(1), one Zr(1), one Zr(7), and one Zr(9) atom to form OLaZr3 tetrahedra that share  a cornercorner with one O(13)LaZr3 tetrahedra,  a cornercorner with one O(20)LaZr3 tetrahedra,  a cornercorner with one O(10)Zr4 tetrahedra,  a cornercorner with one O(17)Zr4 tetrahedra,  a cornercorner with one O(4)Zr4 tetrahedra,  a cornercorner with one O(5)Zr4 tetrahedra,  a cornercorner with one O(8)Zr4 tetrahedra,  a cornercorner with one O(9)Zr4 tetrahedra, corners with two equivalent O(12)LaZr3 tetrahedra, corners with two equivalent O(14)LaZr3 tetrahedra, corners with two equivalent O(16)LaZr3 tetrahedra, corners with two equivalent O(2)Zr4 tetrahedra,  an edgeedge with one O(11)LaZr3 tetrahedra,  an edgeedge with one O(20)LaZr3 tetrahedra,  an edgeedge with one O(7)LaZr3 tetrahedra,  an edgeedge with one O(1)Zr4 tetrahedra,  an edgeedge with one O(15)Zr4 tetrahedra, and  an edgeedge with one O(18)Zr4 tetrahedra. In the twentieth O site, O(20) is bonded to one La(1), one Zr(1), one Zr(2), and one Zr(9) atom to form distorted OLaZr3 tetrahedra that share  a cornercorner with one O(13)LaZr3 tetrahedra,  a cornercorner with one O(14)LaZr3 tetrahedra,  a cornercorner with one O(19)LaZr3 tetrahedra,  a cornercorner with one O(7)LaZr3 tetrahedra,  a cornercorner with one O(10)Zr4 tetrahedra,  a cornercorner with one O(18)Zr4 tetrahedra, corners with two equivalent O(11)LaZr3 tetrahedra, corners with two equivalent O(1)Zr4 tetrahedra, corners with two equivalent O(15)Zr4 tetrahedra, corners with two equivalent O(9)Zr4 tetrahedra,  an edgeedge with one O(12)LaZr3 tetrahedra,  an edgeedge with one O(16)LaZr3 tetrahedra,  an edgeedge with one O(19)LaZr3 tetrahedra,  an edgeedge with one O(2)Zr4 tetrahedra,  an edgeedge with one O(4)Zr4 tetrahedra, and  an edgeedge with one O(5)Zr4 tetrahedra.
LaZr9O20 crystallizes in the triclinic P1 space group. La(1) is bonded in a body-centered cubic geometry to one O(11), one O(12), one O(13), one O(14), one O(16), one O(19), one O(20), and one O(7) atom. The La(1)-O(11) bond length is 2.54 Å. The La(1)-O(12) bond length is 2.34 Å. The La(1)-O(13) bond length is 2.34 Å. The La(1)-O(14) bond length is 2.52 Å. The La(1)-O(16) bond length is 2.36 Å. The La(1)-O(19) bond length is 2.34 Å. The La(1)-O(20) bond length is 2.55 Å. The La(1)-O(7) bond length is 2.54 Å. 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(15), one O(19), one O(2), one O(20), one O(4), and one O(9) atom. The Zr(1)-O(1) bond length is 2.52 Å. The Zr(1)-O(10) bond length is 2.34 Å. The Zr(1)-O(15) bond length is 2.54 Å. The Zr(1)-O(19) bond length is 2.09 Å. The Zr(1)-O(2) bond length is 2.12 Å. The Zr(1)-O(20) bond length is 2.41 Å. The Zr(1)-O(4) bond length is 2.09 Å. The Zr(1)-O(9) bond length is 2.08 Å. In the second Zr site, Zr(2) is bonded in a distorted body-centered cubic geometry to one O(15), one O(16), one O(20), one O(3), one O(4), one O(5), one O(6), and one O(9) atom. The Zr(2)-O(15) bond length is 2.09 Å. The Zr(2)-O(16) bond length is 2.37 Å. The Zr(2)-O(20) bond length is 2.13 Å. The Zr(2)-O(3) bond length is 2.08 Å. The Zr(2)-O(4) bond length is 2.51 Å. The Zr(2)-O(5) bond length is 2.51 Å. The Zr(2)-O(6) bond length is 2.10 Å. The Zr(2)-O(9) bond length is 2.40 Å. In the third Zr site, Zr(3) is bonded in a 8-coordinate geometry to one O(1), one O(13), one O(14), one O(3), one O(4), one O(5), one O(6), and one O(8) atom. The Zr(3)-O(1) bond length is 2.48 Å. The Zr(3)-O(13) bond length is 2.09 Å. The Zr(3)-O(14) bond length is 2.42 Å. The Zr(3)-O(3) bond length is 2.61 Å. The Zr(3)-O(4) bond length is 2.09 Å. The Zr(3)-O(5) bond length is 2.08 Å. The Zr(3)-O(6) bond length is 2.35 Å. The Zr(3)-O(8) bond length is 2.11 Å. In the fourth Zr site, Zr(4) is bonded in a distorted body-centered cubic geometry to one O(1), one O(10), one O(13), one O(2), one O(6), one O(7), one O(8), and one O(9) atom. The Zr(4)-O(1) bond length is 2.09 Å. The Zr(4)-O(10) bond length is 2.09 Å. The Zr(4)-O(13) bond length is 2.43 Å. The Zr(4)-O(2) bond length is 2.44 Å. The Zr(4)-O(6) bond length is 2.09 Å. The Zr(4)-O(7) bond length is 2.10 Å. The Zr(4)-O(8) bond length is 2.48 Å. The Zr(4)-O(9) bond length is 2.48 Å. In the fifth Zr site, Zr(5) is bonded in a distorted body-centered cubic geometry to one O(10), one O(12), one O(17), one O(18), one O(3), one O(7), one O(8), and one O(9) atom. The Zr(5)-O(10) bond length is 2.51 Å. The Zr(5)-O(12) bond length is 2.10 Å. The Zr(5)-O(17) bond length is 2.09 Å. The Zr(5)-O(18) bond length is 2.50 Å. The Zr(5)-O(3) bond length is 2.31 Å. The Zr(5)-O(7) bond length is 2.43 Å. The Zr(5)-O(8) bond length is 2.07 Å. The Zr(5)-O(9) bond length is 2.11 Å. In the sixth Zr site, Zr(6) is bonded in a distorted body-centered cubic geometry to one O(10), one O(11), one O(12), one O(13), one O(14), one O(17), one O(3), and one O(4) atom. The Zr(6)-O(10) bond length is 2.12 Å. The Zr(6)-O(11) bond length is 2.15 Å. The Zr(6)-O(12) bond length is 2.39 Å. The Zr(6)-O(13) bond length is 2.29 Å. The Zr(6)-O(14) bond length is 2.14 Å. The Zr(6)-O(17) bond length is 2.52 Å. The Zr(6)-O(3) bond length is 2.11 Å. The Zr(6)-O(4) bond length is 2.43 Å. In the seventh Zr site, Zr(7) is bonded in a distorted body-centered cubic geometry to one O(14), one O(15), one O(16), one O(17), one O(18), one O(19), one O(7), and one O(8) atom. The Zr(7)-O(14) bond length is 2.11 Å. The Zr(7)-O(15) bond length is 2.12 Å. The Zr(7)-O(16) bond length is 2.33 Å. The Zr(7)-O(17) bond length is 2.42 Å. The Zr(7)-O(18) bond length is 2.15 Å. The Zr(7)-O(19) bond length is 2.36 Å. The Zr(7)-O(7) bond length is 2.13 Å. The Zr(7)-O(8) bond length is 2.53 Å. In the eighth Zr site, Zr(8) is bonded in a distorted body-centered cubic geometry to one O(11), one O(15), one O(16), one O(17), one O(18), one O(2), one O(5), and one O(6) atom. The Zr(8)-O(11) bond length is 2.37 Å. The Zr(8)-O(15) bond length is 2.30 Å. The Zr(8)-O(16) bond length is 2.10 Å. The Zr(8)-O(17) bond length is 2.09 Å. The Zr(8)-O(18) bond length is 2.51 Å. The Zr(8)-O(2) bond length is 2.09 Å. The Zr(8)-O(5) bond length is 2.11 Å. The Zr(8)-O(6) bond length is 2.60 Å. In the ninth Zr site, Zr(9) is bonded in a distorted body-centered cubic geometry to one O(1), one O(11), one O(12), one O(18), one O(19), one O(2), one O(20), and one O(5) atom. The Zr(9)-O(1) bond length is 2.10 Å. The Zr(9)-O(11) bond length is 2.12 Å. The Zr(9)-O(12) bond length is 2.43 Å. The Zr(9)-O(18) bond length is 2.12 Å. The Zr(9)-O(19) bond length is 2.37 Å. The Zr(9)-O(2) bond length is 2.43 Å. The Zr(9)-O(20) bond length is 2.12 Å. The Zr(9)-O(5) bond length is 2.47 Å. There are twenty inequivalent O sites. In the first O site, O(1) is bonded to one Zr(1), one Zr(3), one Zr(4), and one Zr(9) atom to form distorted OZr4 tetrahedra that share  a cornercorner with one O(11)LaZr3 tetrahedra,  a cornercorner with one O(12)LaZr3 tetrahedra,  a cornercorner with one O(14)LaZr3 tetrahedra,  a cornercorner with one O(7)LaZr3 tetrahedra,  a cornercorner with one O(15)Zr4 tetrahedra,  a cornercorner with one O(18)Zr4 tetrahedra,  a cornercorner with one O(2)Zr4 tetrahedra, corners with two equivalent O(20)LaZr3 tetrahedra, corners with two equivalent O(10)Zr4 tetrahedra, corners with two equivalent O(8)Zr4 tetrahedra,  an edgeedge with one O(13)LaZr3 tetrahedra,  an edgeedge with one O(19)LaZr3 tetrahedra,  an edgeedge with one O(2)Zr4 tetrahedra,  an edgeedge with one O(4)Zr4 tetrahedra,  an edgeedge with one O(5)Zr4 tetrahedra, and  an edgeedge with one O(9)Zr4 tetrahedra. In the second O site, O(2) is bonded to one Zr(1), one Zr(4), one Zr(8), and one Zr(9) atom to form distorted OZr4 tetrahedra that share  a cornercorner with one O(12)LaZr3 tetrahedra,  a cornercorner with one O(13)LaZr3 tetrahedra,  a cornercorner with one O(16)LaZr3 tetrahedra,  a cornercorner with one O(7)LaZr3 tetrahedra,  a cornercorner with one O(1)Zr4 tetrahedra,  a cornercorner with one O(17)Zr4 tetrahedra,  a cornercorner with one O(4)Zr4 tetrahedra,  a cornercorner with one O(8)Zr4 tetrahedra, corners with two equivalent O(11)LaZr3 tetrahedra, corners with two equivalent O(19)LaZr3 tetrahedra, corners with two equivalent O(5)Zr4 tetrahedra, corners with two equivalent O(9)Zr4 tetrahedra,  an edgeedge with one O(20)LaZr3 tetrahedra,  an edgeedge with one O(1)Zr4 tetrahedra,  an edgeedge with one O(10)Zr4 tetrahedra,  an edgeedge with one O(15)Zr4 tetrahedra, and  an edgeedge with one O(18)Zr4 tetrahedra. In the third O site, O(3) is bonded in a 4-coordinate geometry to one Zr(2), one Zr(3), one Zr(5), and one Zr(6) atom. In the fourth O site, O(4) is bonded to one Zr(1), one Zr(2), one Zr(3), and one Zr(6) atom to form distorted OZr4 tetrahedra that share  a cornercorner with one O(11)LaZr3 tetrahedra,  a cornercorner with one O(12)LaZr3 tetrahedra,  a cornercorner with one O(16)LaZr3 tetrahedra,  a cornercorner with one O(19)LaZr3 tetrahedra,  a cornercorner with one O(17)Zr4 tetrahedra,  a cornercorner with one O(2)Zr4 tetrahedra,  a cornercorner with one O(8)Zr4 tetrahedra, corners with two equivalent O(13)LaZr3 tetrahedra, corners with two equivalent O(15)Zr4 tetrahedra, corners with two equivalent O(5)Zr4 tetrahedra, corners with two equivalent O(9)Zr4 tetrahedra,  an edgeedge with one O(14)LaZr3 tetrahedra,  an edgeedge with one O(20)LaZr3 tetrahedra,  an edgeedge with one O(1)Zr4 tetrahedra, and  an edgeedge with one O(10)Zr4 tetrahedra. In the fifth O site, O(5) is bonded to one Zr(2), one Zr(3), one Zr(8), and one Zr(9) atom to form distorted OZr4 tetrahedra that share  a cornercorner with one O(12)LaZr3 tetrahedra,  a cornercorner with one O(13)LaZr3 tetrahedra,  a cornercorner with one O(14)LaZr3 tetrahedra,  a cornercorner with one O(19)LaZr3 tetrahedra,  a cornercorner with one O(17)Zr4 tetrahedra,  a cornercorner with one O(8)Zr4 tetrahedra,  a cornercorner with one O(9)Zr4 tetrahedra, corners with two equivalent O(16)LaZr3 tetrahedra, corners with two equivalent O(18)Zr4 tetrahedra, corners with two equivalent O(2)Zr4 tetrahedra, corners with two equivalent O(4)Zr4 tetrahedra,  an edgeedge with one O(11)LaZr3 tetrahedra,  an edgeedge with one O(20)LaZr3 tetrahedra,  an edgeedge with one O(1)Zr4 tetrahedra, and  an edgeedge with one O(15)Zr4 tetrahedra. In the sixth O site, O(6) is bonded in a 4-coordinate geometry to one Zr(2), one Zr(3), one Zr(4), and one Zr(8) atom. In the seventh O site, O(7) is bonded to one La(1), one Zr(4), one Zr(5), and one Zr(7) atom to form distorted OLaZr3 tetrahedra that share  a cornercorner with one O(11)LaZr3 tetrahedra,  a cornercorner with one O(20)LaZr3 tetrahedra,  a cornercorner with one O(1)Zr4 tetrahedra,  a cornercorner with one O(15)Zr4 tetrahedra,  a cornercorner with one O(2)Zr4 tetrahedra,  a cornercorner with one O(8)Zr4 tetrahedra, corners with two equivalent O(14)LaZr3 tetrahedra, corners with two equivalent O(16)LaZr3 tetrahedra, corners with two equivalent O(10)Zr4 tetrahedra, corners with two equivalent O(18)Zr4 tetrahedra,  an edgeedge with one O(12)LaZr3 tetrahedra,  an edgeedge with one O(13)LaZr3 tetrahedra,  an edgeedge with one O(19)LaZr3 tetrahedra,  an edgeedge with one O(17)Zr4 tetrahedra,  an edgeedge with one O(8)Zr4 tetrahedra, and  an edgeedge with one O(9)Zr4 tetrahedra. In the eighth O site, O(8) is bonded to one Zr(3), one Zr(4), one Zr(5), and one Zr(7) atom to form distorted OZr4 tetrahedra that share  a cornercorner with one O(12)LaZr3 tetrahedra,  a cornercorner with one O(16)LaZr3 tetrahedra,  a cornercorner with one O(19)LaZr3 tetrahedra,  a cornercorner with one O(7)LaZr3 tetrahedra,  a cornercorner with one O(15)Zr4 tetrahedra,  a cornercorner with one O(2)Zr4 tetrahedra,  a cornercorner with one O(4)Zr4 tetrahedra,  a cornercorner with one O(5)Zr4 tetrahedra, corners with two equivalent O(13)LaZr3 tetrahedra, corners with two equivalent O(1)Zr4 tetrahedra, corners with two equivalent O(17)Zr4 tetrahedra, corners with two equivalent O(9)Zr4 tetrahedra,  an edgeedge with one O(14)LaZr3 tetrahedra,  an edgeedge with one O(7)LaZr3 tetrahedra,  an edgeedge with one O(10)Zr4 tetrahedra, and  an edgeedge with one O(18)Zr4 tetrahedra. In the ninth O site, O(9) 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)LaZr3 tetrahedra,  a cornercorner with one O(13)LaZr3 tetrahedra,  a cornercorner with one O(16)LaZr3 tetrahedra,  a cornercorner with one O(19)LaZr3 tetrahedra,  a cornercorner with one O(10)Zr4 tetrahedra,  a cornercorner with one O(17)Zr4 tetrahedra,  a cornercorner with one O(18)Zr4 tetrahedra,  a cornercorner with one O(5)Zr4 tetrahedra, corners with two equivalent O(20)LaZr3 tetrahedra, corners with two equivalent O(2)Zr4 tetrahedra, corners with two equivalent O(4)Zr4 tetrahedra, corners with two equivalent O(8)Zr4 tetrahedra,  an edgeedge with one O(7)LaZr3 tetrahedra,  an edgeedge with one O(1)Zr4 tetrahedra,  an edgeedge with one O(10)Zr4 tetrahedra, and  an edgeedge with one O(15)Zr4 tetrahedra. In the tenth O site, O(10) is bonded to one Zr(1), one Zr(4), one Zr(5), and one Zr(6) atom to form distorted OZr4 tetrahedra that share  a cornercorner with one O(11)LaZr3 tetrahedra,  a cornercorner with one O(14)LaZr3 tetrahedra,  a cornercorner with one O(19)LaZr3 tetrahedra,  a cornercorner with one O(20)LaZr3 tetrahedra,  a cornercorner with one O(15)Zr4 tetrahedra,  a cornercorner with one O(18)Zr4 tetrahedra,  a cornercorner with one O(9)Zr4 tetrahedra, corners with two equivalent O(7)LaZr3 tetrahedra, corners with two equivalent O(1)Zr4 tetrahedra, corners with two equivalent O(17)Zr4 tetrahedra,  an edgeedge with one O(12)LaZr3 tetrahedra,  an edgeedge with one O(13)LaZr3 tetrahedra,  an edgeedge with one O(2)Zr4 tetrahedra,  an edgeedge with one O(4)Zr4 tetrahedra,  an edgeedge with one O(8)Zr4 tetrahedra, and  an edgeedge with one O(9)Zr4 tetrahedra. In the eleventh O site, O(11) is bonded to one La(1), one Zr(6), one Zr(8), and one Zr(9) atom to form distorted OLaZr3 tetrahedra that share  a cornercorner with one O(12)LaZr3 tetrahedra,  a cornercorner with one O(7)LaZr3 tetrahedra,  a cornercorner with one O(1)Zr4 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(14)LaZr3 tetrahedra, corners with two equivalent O(20)LaZr3 tetrahedra, corners with two equivalent O(18)Zr4 tetrahedra, corners with two equivalent O(2)Zr4 tetrahedra,  an edgeedge with one O(12)LaZr3 tetrahedra,  an edgeedge with one O(13)LaZr3 tetrahedra,  an edgeedge with one O(16)LaZr3 tetrahedra,  an edgeedge with one O(19)LaZr3 tetrahedra,  an edgeedge with one O(17)Zr4 tetrahedra, and  an edgeedge with one O(5)Zr4 tetrahedra. In the twelfth O site, O(12) is bonded to one La(1), one Zr(5), one Zr(6), and one Zr(9) atom to form distorted OLaZr3 tetrahedra that share  a cornercorner with one O(11)LaZr3 tetrahedra,  a cornercorner with one O(16)LaZr3 tetrahedra,  a cornercorner with one O(1)Zr4 tetrahedra,  a cornercorner with one O(2)Zr4 tetrahedra,  a cornercorner with one O(4)Zr4 tetrahedra,  a cornercorner with one O(5)Zr4 tetrahedra,  a cornercorner with one O(8)Zr4 tetrahedra,  a cornercorner with one O(9)Zr4 tetrahedra, corners with two equivalent O(13)LaZr3 tetrahedra, corners with two equivalent O(19)LaZr3 tetrahedra, corners with two equivalent O(17)Zr4 tetrahedra,  an edgeedge with one O(11)LaZr3 tetrahedra,  an edgeedge with one O(14)LaZr3 tetrahedra,  an edgeedge with one O(20)LaZr3 tetrahedra,  an edgeedge with one O(7)LaZr3 tetrahedra,  an edgeedge with one O(10)Zr4 tetrahedra, and  an edgeedge with one O(18)Zr4 tetrahedra. In the thirteenth O site, O(13) is bonded to one La(1), one Zr(3), one Zr(4), and one Zr(6) atom to form OLaZr3 tetrahedra that share  a cornercorner with one O(14)LaZr3 tetrahedra,  a cornercorner with one O(16)LaZr3 tetrahedra,  a cornercorner with one O(19)LaZr3 tetrahedra,  a cornercorner with one O(20)LaZr3 tetrahedra,  a cornercorner with one O(17)Zr4 tetrahedra,  a cornercorner with one O(2)Zr4 tetrahedra,  a cornercorner with one O(5)Zr4 tetrahedra,  a cornercorner with one O(9)Zr4 tetrahedra, corners with two equivalent O(12)LaZr3 tetrahedra, corners with two equivalent O(4)Zr4 tetrahedra, corners with two equivalent O(8)Zr4 tetrahedra,  an edgeedge with one O(11)LaZr3 tetrahedra,  an edgeedge with one O(14)LaZr3 tetrahedra,  an edgeedge with one O(7)LaZr3 tetrahedra,  an edgeedge with one O(1)Zr4 tetrahedra, and  an edgeedge with one O(10)Zr4 tetrahedra. In the fourteenth O site, O(14) is bonded to one La(1), one Zr(3), one Zr(6), and one Zr(7) atom to form distorted OLaZr3 tetrahedra that share  a cornercorner with one O(13)LaZr3 tetrahedra,  a cornercorner with one O(20)LaZr3 tetrahedra,  a cornercorner with one O(1)Zr4 tetrahedra,  a cornercorner with one O(10)Zr4 tetrahedra,  a cornercorner with one O(15)Zr4 tetrahedra,  a cornercorner with one O(18)Zr4 tetrahedra,  a cornercorner with one O(5)Zr4 tetrahedra, corners with two equivalent O(11)LaZr3 tetrahedra, corners with two equivalent O(19)LaZr3 tetrahedra, corners with two equivalent O(7)LaZr3 tetrahedra,  an edgeedge with one O(12)LaZr3 tetrahedra,  an edgeedge with one O(13)LaZr3 tetrahedra,  an edgeedge with one O(16)LaZr3 tetrahedra,  an edgeedge with one O(17)Zr4 tetrahedra,  an edgeedge with one O(4)Zr4 tetrahedra, and  an edgeedge with one O(8)Zr4 tetrahedra. In the fifteenth O site, O(15) is bonded to one Zr(1), one Zr(2), one Zr(7), and one Zr(8) atom to form distorted OZr4 tetrahedra that share  a cornercorner with one O(11)LaZr3 tetrahedra,  a cornercorner with one O(14)LaZr3 tetrahedra,  a cornercorner with one O(16)LaZr3 tetrahedra,  a cornercorner with one O(7)LaZr3 tetrahedra,  a cornercorner with one O(1)Zr4 tetrahedra,  a cornercorner with one O(10)Zr4 tetrahedra,  a cornercorner with one O(8)Zr4 tetrahedra, corners with two equivalent O(20)LaZr3 tetrahedra, corners with two equivalent O(18)Zr4 tetrahedra, corners with two equivalent O(4)Zr4 tetrahedra,  an edgeedge with one O(16)LaZr3 tetrahedra,  an edgeedge with one O(19)LaZr3 tetrahedra,  an edgeedge with one O(17)Zr4 tetrahedra,  an edgeedge with one O(2)Zr4 tetrahedra,  an edgeedge with one O(5)Zr4 tetrahedra, and  an edgeedge with one O(9)Zr4 tetrahedra. In the sixteenth O site, O(16) is bonded to one La(1), one Zr(2), one Zr(7), and one Zr(8) atom to form OLaZr3 tetrahedra that share  a cornercorner with one O(12)LaZr3 tetrahedra,  a cornercorner with one O(13)LaZr3 tetrahedra,  a cornercorner with one O(15)Zr4 tetrahedra,  a cornercorner with one O(2)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(19)LaZr3 tetrahedra, corners with two equivalent O(7)LaZr3 tetrahedra, corners with two equivalent O(17)Zr4 tetrahedra, corners with two equivalent O(5)Zr4 tetrahedra,  an edgeedge with one O(11)LaZr3 tetrahedra,  an edgeedge with one O(14)LaZr3 tetrahedra,  an edgeedge with one O(20)LaZr3 tetrahedra,  an edgeedge with one O(15)Zr4 tetrahedra, and  an edgeedge with one O(18)Zr4 tetrahedra. In the seventeenth O site, O(17) is bonded to one Zr(5), one Zr(6), one Zr(7), and one Zr(8) atom to form distorted OZr4 tetrahedra that share  a cornercorner with one O(13)LaZr3 tetrahedra,  a cornercorner with one O(19)LaZr3 tetrahedra,  a cornercorner with one O(18)Zr4 tetrahedra,  a cornercorner with one O(2)Zr4 tetrahedra,  a cornercorner with one O(4)Zr4 tetrahedra,  a cornercorner with one O(5)Zr4 tetrahedra,  a cornercorner with one O(9)Zr4 tetrahedra, corners with two equivalent O(12)LaZr3 tetrahedra, corners with two equivalent O(16)LaZr3 tetrahedra, corners with two equivalent O(10)Zr4 tetrahedra, corners with two equivalent O(8)Zr4 tetrahedra,  an edgeedge with one O(11)LaZr3 tetrahedra,  an edgeedge with one O(14)LaZr3 tetrahedra,  an edgeedge with one O(7)LaZr3 tetrahedra,  an edgeedge with one O(15)Zr4 tetrahedra, and  an edgeedge with one O(18)Zr4 tetrahedra. In the eighteenth O site, O(18) is bonded to one Zr(5), one Zr(7), one Zr(8), and one Zr(9) atom to form distorted OZr4 tetrahedra that share  a cornercorner with one O(14)LaZr3 tetrahedra,  a cornercorner with one O(20)LaZr3 tetrahedra,  a cornercorner with one O(1)Zr4 tetrahedra,  a cornercorner with one O(10)Zr4 tetrahedra,  a cornercorner with one O(17)Zr4 tetrahedra,  a cornercorner with one O(9)Zr4 tetrahedra, corners with two equivalent O(11)LaZr3 tetrahedra, corners with two equivalent O(7)LaZr3 tetrahedra, corners with two equivalent O(15)Zr4 tetrahedra, corners with two equivalent O(5)Zr4 tetrahedra,  an edgeedge with one O(12)LaZr3 tetrahedra,  an edgeedge with one O(16)LaZr3 tetrahedra,  an edgeedge with one O(19)LaZr3 tetrahedra,  an edgeedge with one O(17)Zr4 tetrahedra,  an edgeedge with one O(2)Zr4 tetrahedra, and  an edgeedge with one O(8)Zr4 tetrahedra. In the nineteenth O site, O(19) is bonded to one La(1), one Zr(1), one Zr(7), and one Zr(9) atom to form OLaZr3 tetrahedra that share  a cornercorner with one O(13)LaZr3 tetrahedra,  a cornercorner with one O(20)LaZr3 tetrahedra,  a cornercorner with one O(10)Zr4 tetrahedra,  a cornercorner with one O(17)Zr4 tetrahedra,  a cornercorner with one O(4)Zr4 tetrahedra,  a cornercorner with one O(5)Zr4 tetrahedra,  a cornercorner with one O(8)Zr4 tetrahedra,  a cornercorner with one O(9)Zr4 tetrahedra, corners with two equivalent O(12)LaZr3 tetrahedra, corners with two equivalent O(14)LaZr3 tetrahedra, corners with two equivalent O(16)LaZr3 tetrahedra, corners with two equivalent O(2)Zr4 tetrahedra,  an edgeedge with one O(11)LaZr3 tetrahedra,  an edgeedge with one O(20)LaZr3 tetrahedra,  an edgeedge with one O(7)LaZr3 tetrahedra,  an edgeedge with one O(1)Zr4 tetrahedra,  an edgeedge with one O(15)Zr4 tetrahedra, and  an edgeedge with one O(18)Zr4 tetrahedra. In the twentieth O site, O(20) is bonded to one La(1), one Zr(1), one Zr(2), and one Zr(9) atom to form distorted OLaZr3 tetrahedra that share  a cornercorner with one O(13)LaZr3 tetrahedra,  a cornercorner with one O(14)LaZr3 tetrahedra,  a cornercorner with one O(19)LaZr3 tetrahedra,  a cornercorner with one O(7)LaZr3 tetrahedra,  a cornercorner with one O(10)Zr4 tetrahedra,  a cornercorner with one O(18)Zr4 tetrahedra, corners with two equivalent O(11)LaZr3 tetrahedra, corners with two equivalent O(1)Zr4 tetrahedra, corners with two equivalent O(15)Zr4 tetrahedra, corners with two equivalent O(9)Zr4 tetrahedra,  an edgeedge with one O(12)LaZr3 tetrahedra,  an edgeedge with one O(16)LaZr3 tetrahedra,  an edgeedge with one O(19)LaZr3 tetrahedra,  an edgeedge with one O(2)Zr4 tetrahedra,  an edgeedge with one O(4)Zr4 tetrahedra, and  an edgeedge with one O(5)Zr4 tetrahedra.