LaZr9O20 is Fluorite-derived structured and crystallizes in the triclinic P-1 space group. La(1) is bonded in a body-centered cubic geometry to two equivalent O(10), two equivalent O(3), two equivalent O(5), and two equivalent O(7) atoms. There are five inequivalent Zr sites. In the first Zr site, Zr(1) is bonded in a body-centered cubic geometry to one O(3), one O(4), one O(7), one O(9), two equivalent O(2), and two equivalent O(8) atoms. In the second Zr site, Zr(2) is bonded in a body-centered cubic geometry to one O(2), one O(4), one O(5), one O(6), one O(7), one O(8), and two equivalent O(1) atoms. In the third Zr site, Zr(3) is bonded in a body-centered cubic geometry to one O(10), one O(3), one O(4), one O(8), two equivalent O(6), and two equivalent O(9) atoms. In the fourth Zr site, Zr(4) is bonded in a body-centered cubic geometry to one O(1), one O(10), one O(2), one O(3), one O(6), one O(9), and two equivalent O(5) atoms. In the fifth Zr site, Zr(5) is bonded in a body-centered cubic geometry to two equivalent O(1), two equivalent O(10), two equivalent O(4), and two equivalent O(7) atoms. There are ten inequivalent O sites. In the first O site, O(1) is bonded to one Zr(4), one Zr(5), and two equivalent Zr(2) atoms to form OZr4 tetrahedra that share  a cornercorner with one O(10)LaZr3 tetrahedra,  a cornercorner with one O(3)LaZr3 tetrahedra,  a cornercorner with one O(1)Zr4 tetrahedra,  a cornercorner with one O(6)Zr4 tetrahedra,  a cornercorner with one O(9)Zr4 tetrahedra, corners with two equivalent O(5)LaZr3 tetrahedra, corners with two equivalent O(7)LaZr3 tetrahedra, corners with two equivalent O(4)Zr4 tetrahedra, corners with two equivalent O(8)Zr4 tetrahedra, corners with three equivalent O(2)Zr4 tetrahedra,  an edgeedge with one O(10)LaZr3 tetrahedra,  an edgeedge with one O(5)LaZr3 tetrahedra,  an edgeedge with one O(7)LaZr3 tetrahedra,  an edgeedge with one O(1)Zr4 tetrahedra,  an edgeedge with one O(4)Zr4 tetrahedra, and  an edgeedge with one O(6)Zr4 tetrahedra. In the second O site, O(2) is bonded to one Zr(2), one Zr(4), and two equivalent Zr(1) atoms to form OZr4 tetrahedra that share  a cornercorner with one O(10)LaZr3 tetrahedra,  a cornercorner with one O(3)LaZr3 tetrahedra,  a cornercorner with one O(5)LaZr3 tetrahedra,  a cornercorner with one O(4)Zr4 tetrahedra,  a cornercorner with one O(9)Zr4 tetrahedra, corners with two equivalent O(6)Zr4 tetrahedra, corners with three equivalent O(7)LaZr3 tetrahedra, corners with three equivalent O(1)Zr4 tetrahedra, corners with three equivalent O(8)Zr4 tetrahedra,  an edgeedge with one O(3)LaZr3 tetrahedra,  an edgeedge with one O(5)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 third O site, O(3) is bonded to one La(1), one Zr(1), one Zr(3), and one Zr(4) atom to form OLaZr3 tetrahedra that share  a cornercorner with one O(3)LaZr3 tetrahedra,  a cornercorner with one O(7)LaZr3 tetrahedra,  a cornercorner with one O(1)Zr4 tetrahedra,  a cornercorner with one O(2)Zr4 tetrahedra,  a cornercorner with one O(6)Zr4 tetrahedra,  a cornercorner with one O(8)Zr4 tetrahedra, corners with two equivalent O(10)LaZr3 tetrahedra, corners with two equivalent O(5)LaZr3 tetrahedra, corners with two equivalent O(4)Zr4 tetrahedra, corners with four equivalent O(9)Zr4 tetrahedra,  an edgeedge with one O(10)LaZr3 tetrahedra,  an edgeedge with one O(5)LaZr3 tetrahedra,  an edgeedge with one O(7)LaZr3 tetrahedra,  an edgeedge with one O(2)Zr4 tetrahedra,  an edgeedge with one O(6)Zr4 tetrahedra, and  an edgeedge with one O(8)Zr4 tetrahedra. In the fourth O site, O(4) is bonded to one Zr(1), one Zr(2), one Zr(3), and one Zr(5) atom to form OZr4 tetrahedra that share  a cornercorner with one O(10)LaZr3 tetrahedra,  a cornercorner with one O(5)LaZr3 tetrahedra,  a cornercorner with one O(2)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(3)LaZr3 tetrahedra, corners with two equivalent O(7)LaZr3 tetrahedra, corners with two equivalent O(1)Zr4 tetrahedra, corners with four equivalent O(8)Zr4 tetrahedra,  an edgeedge with one O(10)LaZr3 tetrahedra,  an edgeedge with one O(7)LaZr3 tetrahedra,  an edgeedge with one O(1)Zr4 tetrahedra,  an edgeedge with one O(2)Zr4 tetrahedra,  an edgeedge with one O(6)Zr4 tetrahedra, and  an edgeedge with one O(9)Zr4 tetrahedra. In the fifth O site, O(5) is bonded to one La(1), one Zr(2), and two equivalent Zr(4) atoms to form OLaZr3 tetrahedra that share  a cornercorner with one O(5)LaZr3 tetrahedra,  a cornercorner with one O(7)LaZr3 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, corners with two equivalent O(10)LaZr3 tetrahedra, corners with two equivalent O(3)LaZr3 tetrahedra, corners with two equivalent O(1)Zr4 tetrahedra, corners with two equivalent O(9)Zr4 tetrahedra, corners with three equivalent O(6)Zr4 tetrahedra,  an edgeedge with one O(10)LaZr3 tetrahedra,  an edgeedge with one O(3)LaZr3 tetrahedra,  an edgeedge with one O(5)LaZr3 tetrahedra,  an edgeedge with one O(7)LaZr3 tetrahedra,  an edgeedge with one O(1)Zr4 tetrahedra, and  an edgeedge with one O(2)Zr4 tetrahedra. In the sixth O site, O(6) is bonded to one Zr(2), one Zr(4), and two equivalent Zr(3) atoms to form OZr4 tetrahedra that share  a cornercorner with one O(3)LaZr3 tetrahedra,  a cornercorner with one O(7)LaZr3 tetrahedra,  a cornercorner with one O(1)Zr4 tetrahedra,  a cornercorner with one O(4)Zr4 tetrahedra,  a cornercorner with one O(8)Zr4 tetrahedra, corners with two equivalent O(2)Zr4 tetrahedra, corners with three equivalent O(10)LaZr3 tetrahedra, corners with three equivalent O(5)LaZr3 tetrahedra, corners with three equivalent O(9)Zr4 tetrahedra,  an edgeedge with one O(3)LaZr3 tetrahedra,  an edgeedge with one O(1)Zr4 tetrahedra,  an edgeedge with one O(4)Zr4 tetrahedra,  an edgeedge with one O(6)Zr4 tetrahedra,  an edgeedge with one O(8)Zr4 tetrahedra, and  an edgeedge with one O(9)Zr4 tetrahedra. In the seventh O site, O(7) is bonded to one La(1), one Zr(1), one Zr(2), and one Zr(5) atom to form OLaZr3 tetrahedra that share  a cornercorner with one O(3)LaZr3 tetrahedra,  a cornercorner with one O(5)LaZr3 tetrahedra,  a cornercorner with one O(6)Zr4 tetrahedra,  a cornercorner with one O(8)Zr4 tetrahedra,  a cornercorner with one O(9)Zr4 tetrahedra, corners with two equivalent O(10)LaZr3 tetrahedra, corners with two equivalent O(7)LaZr3 tetrahedra, corners with two equivalent O(1)Zr4 tetrahedra, corners with two equivalent O(4)Zr4 tetrahedra, corners with three equivalent O(2)Zr4 tetrahedra,  an edgeedge with one O(10)LaZr3 tetrahedra,  an edgeedge with one O(3)LaZr3 tetrahedra,  an edgeedge with one O(5)LaZr3 tetrahedra,  an edgeedge with one O(1)Zr4 tetrahedra,  an edgeedge with one O(4)Zr4 tetrahedra, and  an edgeedge with one O(8)Zr4 tetrahedra. In the eighth O site, O(8) is bonded to one Zr(2), one Zr(3), and two equivalent Zr(1) atoms to form OZr4 tetrahedra that share  a cornercorner with one O(10)LaZr3 tetrahedra,  a cornercorner with one O(3)LaZr3 tetrahedra,  a cornercorner with one O(5)LaZr3 tetrahedra,  a cornercorner with one O(7)LaZr3 tetrahedra,  a cornercorner with one O(6)Zr4 tetrahedra, corners with two equivalent O(1)Zr4 tetrahedra, corners with two equivalent O(9)Zr4 tetrahedra, corners with three equivalent O(2)Zr4 tetrahedra, corners with four equivalent O(4)Zr4 tetrahedra,  an edgeedge with one O(3)LaZr3 tetrahedra,  an edgeedge with one O(7)LaZr3 tetrahedra,  an edgeedge with one O(2)Zr4 tetrahedra,  an edgeedge with one O(6)Zr4 tetrahedra,  an edgeedge with one O(8)Zr4 tetrahedra, and  an edgeedge with one O(9)Zr4 tetrahedra. In the ninth O site, O(9) is bonded to one Zr(1), one Zr(4), and two equivalent Zr(3) atoms to form OZr4 tetrahedra that share  a cornercorner with one O(10)LaZr3 tetrahedra,  a cornercorner with one O(7)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, corners with two equivalent O(5)LaZr3 tetrahedra, corners with two equivalent O(8)Zr4 tetrahedra, corners with three equivalent O(6)Zr4 tetrahedra, corners with four equivalent O(3)LaZr3 tetrahedra,  an edgeedge with one O(10)LaZr3 tetrahedra,  an edgeedge with one O(2)Zr4 tetrahedra,  an edgeedge with one O(4)Zr4 tetrahedra,  an edgeedge with one O(6)Zr4 tetrahedra,  an edgeedge with one O(8)Zr4 tetrahedra, and  an edgeedge with one O(9)Zr4 tetrahedra. In the tenth O site, O(10) is bonded to one La(1), one Zr(3), one Zr(4), and one Zr(5) atom to form OLaZr3 tetrahedra that share  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(8)Zr4 tetrahedra,  a cornercorner with one O(9)Zr4 tetrahedra, corners with two equivalent O(10)LaZr3 tetrahedra, corners with two equivalent O(3)LaZr3 tetrahedra, corners with two equivalent O(5)LaZr3 tetrahedra, corners with two equivalent O(7)LaZr3 tetrahedra, corners with three equivalent O(6)Zr4 tetrahedra,  an edgeedge with one O(3)LaZr3 tetrahedra,  an edgeedge with one O(5)LaZr3 tetrahedra,  an edgeedge with one O(7)LaZr3 tetrahedra,  an edgeedge with one O(1)Zr4 tetrahedra,  an edgeedge with one O(4)Zr4 tetrahedra, and  an edgeedge with one O(9)Zr4 tetrahedra.
LaZr9O20 is Fluorite-derived structured and crystallizes in the triclinic P-1 space group. La(1) is bonded in a body-centered cubic geometry to two equivalent O(10), two equivalent O(3), two equivalent O(5), and two equivalent O(7) atoms. Both La(1)-O(10) bond lengths are 2.43 Å. Both La(1)-O(3) bond lengths are 2.42 Å. Both La(1)-O(5) bond lengths are 2.41 Å. Both La(1)-O(7) bond lengths are 2.41 Å. There are five inequivalent Zr sites. In the first Zr site, Zr(1) is bonded in a body-centered cubic geometry to one O(3), one O(4), one O(7), one O(9), two equivalent O(2), and two equivalent O(8) atoms. The Zr(1)-O(3) bond length is 2.24 Å. The Zr(1)-O(4) bond length is 2.29 Å. The Zr(1)-O(7) bond length is 2.22 Å. The Zr(1)-O(9) bond length is 2.21 Å. There is one shorter (2.19 Å) and one longer (2.29 Å) Zr(1)-O(2) bond length. There is one shorter (2.23 Å) and one longer (2.24 Å) Zr(1)-O(8) bond length. In the second Zr site, Zr(2) is bonded in a body-centered cubic geometry to one O(2), one O(4), one O(5), one O(6), one O(7), one O(8), and two equivalent O(1) atoms. The Zr(2)-O(2) bond length is 2.25 Å. The Zr(2)-O(4) bond length is 2.18 Å. The Zr(2)-O(5) bond length is 2.20 Å. The Zr(2)-O(6) bond length is 2.23 Å. The Zr(2)-O(7) bond length is 2.25 Å. The Zr(2)-O(8) bond length is 2.30 Å. Both Zr(2)-O(1) bond lengths are 2.23 Å. In the third Zr site, Zr(3) is bonded in a body-centered cubic geometry to one O(10), one O(3), one O(4), one O(8), two equivalent O(6), and two equivalent O(9) atoms. The Zr(3)-O(10) bond length is 2.21 Å. The Zr(3)-O(3) bond length is 2.23 Å. The Zr(3)-O(4) bond length is 2.27 Å. The Zr(3)-O(8) bond length is 2.25 Å. There is one shorter (2.20 Å) and one longer (2.29 Å) Zr(3)-O(6) bond length. There is one shorter (2.22 Å) and one longer (2.27 Å) Zr(3)-O(9) bond length. In the fourth Zr site, Zr(4) is bonded in a body-centered cubic geometry to one O(1), one O(10), one O(2), one O(3), one O(6), one O(9), and two equivalent O(5) atoms. The Zr(4)-O(1) bond length is 2.27 Å. The Zr(4)-O(10) bond length is 2.21 Å. The Zr(4)-O(2) bond length is 2.29 Å. The Zr(4)-O(3) bond length is 2.19 Å. The Zr(4)-O(6) bond length is 2.26 Å. The Zr(4)-O(9) bond length is 2.29 Å. There is one shorter (2.22 Å) and one longer (2.24 Å) Zr(4)-O(5) bond length. In the fifth Zr site, Zr(5) is bonded in a body-centered cubic geometry to two equivalent O(1), two equivalent O(10), two equivalent O(4), and two equivalent O(7) atoms. Both Zr(5)-O(1) bond lengths are 2.28 Å. Both Zr(5)-O(10) bond lengths are 2.22 Å. Both Zr(5)-O(4) bond lengths are 2.30 Å. Both Zr(5)-O(7) bond lengths are 2.19 Å. There are ten inequivalent O sites. In the first O site, O(1) is bonded to one Zr(4), one Zr(5), and two equivalent Zr(2) atoms to form OZr4 tetrahedra that share  a cornercorner with one O(10)LaZr3 tetrahedra,  a cornercorner with one O(3)LaZr3 tetrahedra,  a cornercorner with one O(1)Zr4 tetrahedra,  a cornercorner with one O(6)Zr4 tetrahedra,  a cornercorner with one O(9)Zr4 tetrahedra, corners with two equivalent O(5)LaZr3 tetrahedra, corners with two equivalent O(7)LaZr3 tetrahedra, corners with two equivalent O(4)Zr4 tetrahedra, corners with two equivalent O(8)Zr4 tetrahedra, corners with three equivalent O(2)Zr4 tetrahedra,  an edgeedge with one O(10)LaZr3 tetrahedra,  an edgeedge with one O(5)LaZr3 tetrahedra,  an edgeedge with one O(7)LaZr3 tetrahedra,  an edgeedge with one O(1)Zr4 tetrahedra,  an edgeedge with one O(4)Zr4 tetrahedra, and  an edgeedge with one O(6)Zr4 tetrahedra. In the second O site, O(2) is bonded to one Zr(2), one Zr(4), and two equivalent Zr(1) atoms to form OZr4 tetrahedra that share  a cornercorner with one O(10)LaZr3 tetrahedra,  a cornercorner with one O(3)LaZr3 tetrahedra,  a cornercorner with one O(5)LaZr3 tetrahedra,  a cornercorner with one O(4)Zr4 tetrahedra,  a cornercorner with one O(9)Zr4 tetrahedra, corners with two equivalent O(6)Zr4 tetrahedra, corners with three equivalent O(7)LaZr3 tetrahedra, corners with three equivalent O(1)Zr4 tetrahedra, corners with three equivalent O(8)Zr4 tetrahedra,  an edgeedge with one O(3)LaZr3 tetrahedra,  an edgeedge with one O(5)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 third O site, O(3) is bonded to one La(1), one Zr(1), one Zr(3), and one Zr(4) atom to form OLaZr3 tetrahedra that share  a cornercorner with one O(3)LaZr3 tetrahedra,  a cornercorner with one O(7)LaZr3 tetrahedra,  a cornercorner with one O(1)Zr4 tetrahedra,  a cornercorner with one O(2)Zr4 tetrahedra,  a cornercorner with one O(6)Zr4 tetrahedra,  a cornercorner with one O(8)Zr4 tetrahedra, corners with two equivalent O(10)LaZr3 tetrahedra, corners with two equivalent O(5)LaZr3 tetrahedra, corners with two equivalent O(4)Zr4 tetrahedra, corners with four equivalent O(9)Zr4 tetrahedra,  an edgeedge with one O(10)LaZr3 tetrahedra,  an edgeedge with one O(5)LaZr3 tetrahedra,  an edgeedge with one O(7)LaZr3 tetrahedra,  an edgeedge with one O(2)Zr4 tetrahedra,  an edgeedge with one O(6)Zr4 tetrahedra, and  an edgeedge with one O(8)Zr4 tetrahedra. In the fourth O site, O(4) is bonded to one Zr(1), one Zr(2), one Zr(3), and one Zr(5) atom to form OZr4 tetrahedra that share  a cornercorner with one O(10)LaZr3 tetrahedra,  a cornercorner with one O(5)LaZr3 tetrahedra,  a cornercorner with one O(2)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(3)LaZr3 tetrahedra, corners with two equivalent O(7)LaZr3 tetrahedra, corners with two equivalent O(1)Zr4 tetrahedra, corners with four equivalent O(8)Zr4 tetrahedra,  an edgeedge with one O(10)LaZr3 tetrahedra,  an edgeedge with one O(7)LaZr3 tetrahedra,  an edgeedge with one O(1)Zr4 tetrahedra,  an edgeedge with one O(2)Zr4 tetrahedra,  an edgeedge with one O(6)Zr4 tetrahedra, and  an edgeedge with one O(9)Zr4 tetrahedra. In the fifth O site, O(5) is bonded to one La(1), one Zr(2), and two equivalent Zr(4) atoms to form OLaZr3 tetrahedra that share  a cornercorner with one O(5)LaZr3 tetrahedra,  a cornercorner with one O(7)LaZr3 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, corners with two equivalent O(10)LaZr3 tetrahedra, corners with two equivalent O(3)LaZr3 tetrahedra, corners with two equivalent O(1)Zr4 tetrahedra, corners with two equivalent O(9)Zr4 tetrahedra, corners with three equivalent O(6)Zr4 tetrahedra,  an edgeedge with one O(10)LaZr3 tetrahedra,  an edgeedge with one O(3)LaZr3 tetrahedra,  an edgeedge with one O(5)LaZr3 tetrahedra,  an edgeedge with one O(7)LaZr3 tetrahedra,  an edgeedge with one O(1)Zr4 tetrahedra, and  an edgeedge with one O(2)Zr4 tetrahedra. In the sixth O site, O(6) is bonded to one Zr(2), one Zr(4), and two equivalent Zr(3) atoms to form OZr4 tetrahedra that share  a cornercorner with one O(3)LaZr3 tetrahedra,  a cornercorner with one O(7)LaZr3 tetrahedra,  a cornercorner with one O(1)Zr4 tetrahedra,  a cornercorner with one O(4)Zr4 tetrahedra,  a cornercorner with one O(8)Zr4 tetrahedra, corners with two equivalent O(2)Zr4 tetrahedra, corners with three equivalent O(10)LaZr3 tetrahedra, corners with three equivalent O(5)LaZr3 tetrahedra, corners with three equivalent O(9)Zr4 tetrahedra,  an edgeedge with one O(3)LaZr3 tetrahedra,  an edgeedge with one O(1)Zr4 tetrahedra,  an edgeedge with one O(4)Zr4 tetrahedra,  an edgeedge with one O(6)Zr4 tetrahedra,  an edgeedge with one O(8)Zr4 tetrahedra, and  an edgeedge with one O(9)Zr4 tetrahedra. In the seventh O site, O(7) is bonded to one La(1), one Zr(1), one Zr(2), and one Zr(5) atom to form OLaZr3 tetrahedra that share  a cornercorner with one O(3)LaZr3 tetrahedra,  a cornercorner with one O(5)LaZr3 tetrahedra,  a cornercorner with one O(6)Zr4 tetrahedra,  a cornercorner with one O(8)Zr4 tetrahedra,  a cornercorner with one O(9)Zr4 tetrahedra, corners with two equivalent O(10)LaZr3 tetrahedra, corners with two equivalent O(7)LaZr3 tetrahedra, corners with two equivalent O(1)Zr4 tetrahedra, corners with two equivalent O(4)Zr4 tetrahedra, corners with three equivalent O(2)Zr4 tetrahedra,  an edgeedge with one O(10)LaZr3 tetrahedra,  an edgeedge with one O(3)LaZr3 tetrahedra,  an edgeedge with one O(5)LaZr3 tetrahedra,  an edgeedge with one O(1)Zr4 tetrahedra,  an edgeedge with one O(4)Zr4 tetrahedra, and  an edgeedge with one O(8)Zr4 tetrahedra. In the eighth O site, O(8) is bonded to one Zr(2), one Zr(3), and two equivalent Zr(1) atoms to form OZr4 tetrahedra that share  a cornercorner with one O(10)LaZr3 tetrahedra,  a cornercorner with one O(3)LaZr3 tetrahedra,  a cornercorner with one O(5)LaZr3 tetrahedra,  a cornercorner with one O(7)LaZr3 tetrahedra,  a cornercorner with one O(6)Zr4 tetrahedra, corners with two equivalent O(1)Zr4 tetrahedra, corners with two equivalent O(9)Zr4 tetrahedra, corners with three equivalent O(2)Zr4 tetrahedra, corners with four equivalent O(4)Zr4 tetrahedra,  an edgeedge with one O(3)LaZr3 tetrahedra,  an edgeedge with one O(7)LaZr3 tetrahedra,  an edgeedge with one O(2)Zr4 tetrahedra,  an edgeedge with one O(6)Zr4 tetrahedra,  an edgeedge with one O(8)Zr4 tetrahedra, and  an edgeedge with one O(9)Zr4 tetrahedra. In the ninth O site, O(9) is bonded to one Zr(1), one Zr(4), and two equivalent Zr(3) atoms to form OZr4 tetrahedra that share  a cornercorner with one O(10)LaZr3 tetrahedra,  a cornercorner with one O(7)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, corners with two equivalent O(5)LaZr3 tetrahedra, corners with two equivalent O(8)Zr4 tetrahedra, corners with three equivalent O(6)Zr4 tetrahedra, corners with four equivalent O(3)LaZr3 tetrahedra,  an edgeedge with one O(10)LaZr3 tetrahedra,  an edgeedge with one O(2)Zr4 tetrahedra,  an edgeedge with one O(4)Zr4 tetrahedra,  an edgeedge with one O(6)Zr4 tetrahedra,  an edgeedge with one O(8)Zr4 tetrahedra, and  an edgeedge with one O(9)Zr4 tetrahedra. In the tenth O site, O(10) is bonded to one La(1), one Zr(3), one Zr(4), and one Zr(5) atom to form OLaZr3 tetrahedra that share  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(8)Zr4 tetrahedra,  a cornercorner with one O(9)Zr4 tetrahedra, corners with two equivalent O(10)LaZr3 tetrahedra, corners with two equivalent O(3)LaZr3 tetrahedra, corners with two equivalent O(5)LaZr3 tetrahedra, corners with two equivalent O(7)LaZr3 tetrahedra, corners with three equivalent O(6)Zr4 tetrahedra,  an edgeedge with one O(3)LaZr3 tetrahedra,  an edgeedge with one O(5)LaZr3 tetrahedra,  an edgeedge with one O(7)LaZr3 tetrahedra,  an edgeedge with one O(1)Zr4 tetrahedra,  an edgeedge with one O(4)Zr4 tetrahedra, and  an edgeedge with one O(9)Zr4 tetrahedra.