Zr4N2O5 crystallizes in the triclinic P1 space group. There are sixteen inequivalent Zr sites. In the first Zr site, Zr(1) is bonded to one N(5), one N(8), one O(1), one O(10), one O(16), one O(19), and one O(6) atom to form distorted ZrN2O5 pentagonal bipyramids that share  a cornercorner with one Zr(3)N3O3 octahedra,  a cornercorner with one Zr(14)N2O5 pentagonal bipyramid,  a cornercorner with one Zr(9)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(16)N2O4 octahedra,  an edgeedge with one Zr(13)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(4)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(5)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(7)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(10)N3O4 pentagonal bipyramid, and  an edgeedge with one Zr(2)NO6 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 55°. In the second Zr site, Zr(2) is bonded to one N(3), one O(12), one O(19), one O(20), one O(5), one O(6), and one O(9) atom to form distorted ZrNO6 pentagonal bipyramids that share  a cornercorner with one Zr(3)N3O3 octahedra,  a cornercorner with one Zr(13)N2O5 pentagonal bipyramid,  a cornercorner with one Zr(12)N3O4 pentagonal bipyramid,  an edgeedge with one Zr(16)N2O4 octahedra,  an edgeedge with one Zr(1)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(4)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(7)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(8)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(9)N2O5 pentagonal bipyramid, and  an edgeedge with one Zr(15)NO6 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 46°. In the third Zr site, Zr(3) is bonded to one N(2), one N(4), one N(5), one O(3), one O(4), and one O(9) atom to form ZrN3O3 octahedra that share  a cornercorner with one Zr(1)N2O5 pentagonal bipyramid,  a cornercorner with one Zr(13)N2O5 pentagonal bipyramid,  a cornercorner with one Zr(14)N2O5 pentagonal bipyramid,  a cornercorner with one Zr(9)N2O5 pentagonal bipyramid,  a cornercorner with one Zr(12)N3O4 pentagonal bipyramid,  a cornercorner with one Zr(2)NO6 pentagonal bipyramid,  an edgeedge with one Zr(4)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(5)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(7)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(8)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(10)N3O4 pentagonal bipyramid, and  an edgeedge with one Zr(15)NO6 pentagonal bipyramid. In the fourth Zr site, Zr(4) is bonded to one N(1), one N(7), one O(16), one O(3), one O(6), one O(8), and one O(9) atom to form distorted ZrN2O5 pentagonal bipyramids that share  a cornercorner with one Zr(16)N2O4 octahedra,  a cornercorner with one Zr(5)N2O5 pentagonal bipyramid,  a cornercorner with one Zr(8)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(3)N3O3 octahedra,  an edgeedge with one Zr(1)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(14)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(10)N3O4 pentagonal bipyramid,  an edgeedge with one Zr(12)N3O4 pentagonal bipyramid,  an edgeedge with one Zr(15)NO6 pentagonal bipyramid, and  an edgeedge with one Zr(2)NO6 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 55°. In the fifth Zr site, Zr(5) is bonded to one N(1), one N(2), one O(1), one O(10), one O(2), one O(4), and one O(7) atom to form distorted ZrN2O5 pentagonal bipyramids that share  a cornercorner with one Zr(16)N2O4 octahedra,  a cornercorner with one Zr(4)N2O5 pentagonal bipyramid,  a cornercorner with one Zr(8)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(3)N3O3 octahedra,  an edgeedge with one Zr(1)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(13)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(7)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(9)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(12)N3O4 pentagonal bipyramid, and  an edgeedge with one Zr(15)NO6 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 46°. In the sixth Zr site, Zr(6) is bonded in a body-centered cubic geometry to one N(1), one N(8), one O(11), one O(12), one O(13), one O(16), one O(2), and one O(20) atom. In the seventh Zr site, Zr(7) is bonded to one N(4), one N(8), one O(10), one O(12), one O(14), one O(4), and one O(5) atom to form distorted ZrN2O5 pentagonal bipyramids that share  a cornercorner with one Zr(16)N2O4 octahedra,  a cornercorner with one Zr(10)N3O4 pentagonal bipyramid,  a cornercorner with one Zr(15)NO6 pentagonal bipyramid,  an edgeedge with one Zr(3)N3O3 octahedra,  an edgeedge with one Zr(1)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(14)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(5)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(8)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(12)N3O4 pentagonal bipyramid, and  an edgeedge with one Zr(2)NO6 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 54°. In the eighth Zr site, Zr(8) is bonded to one N(3), one N(4), one O(11), one O(13), one O(3), one O(5), and one O(7) atom to form distorted ZrN2O5 pentagonal bipyramids that share  a cornercorner with one Zr(16)N2O4 octahedra,  a cornercorner with one Zr(4)N2O5 pentagonal bipyramid,  a cornercorner with one Zr(5)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(3)N3O3 octahedra,  an edgeedge with one Zr(13)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(14)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(7)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(9)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(10)N3O4 pentagonal bipyramid, and  an edgeedge with one Zr(2)NO6 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 51°. In the ninth Zr site, Zr(9) is bonded to one N(2), one N(6), one O(11), one O(15), one O(19), one O(20), and one O(7) atom to form distorted ZrN2O5 pentagonal bipyramids that share  a cornercorner with one Zr(3)N3O3 octahedra,  a cornercorner with one Zr(1)N2O5 pentagonal bipyramid,  a cornercorner with one Zr(14)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(16)N2O4 octahedra,  an edgeedge with one Zr(5)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(8)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(10)N3O4 pentagonal bipyramid,  an edgeedge with one Zr(12)N3O4 pentagonal bipyramid,  an edgeedge with one Zr(15)NO6 pentagonal bipyramid, and  an edgeedge with one Zr(2)NO6 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 54°. In the tenth Zr site, Zr(10) is bonded to one N(5), one N(6), one N(8), one O(11), one O(18), one O(3), and one O(8) atom to form distorted ZrN3O4 pentagonal bipyramids that share  a cornercorner with one Zr(16)N2O4 octahedra,  a cornercorner with one Zr(7)N2O5 pentagonal bipyramid,  a cornercorner with one Zr(15)NO6 pentagonal bipyramid,  an edgeedge with one Zr(3)N3O3 octahedra,  an edgeedge with one Zr(1)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(13)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(4)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(8)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(9)N2O5 pentagonal bipyramid, and  an edgeedge with one Zr(12)N3O4 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 47°. In the eleventh Zr site, Zr(11) is bonded in a body-centered cubic geometry to one N(3), one O(10), one O(14), one O(15), one O(18), one O(6), one O(7), and one O(8) atom. In the twelfth Zr site, Zr(12) is bonded to one N(1), one N(2), one N(6), one O(12), one O(14), one O(17), and one O(8) atom to form distorted ZrN3O4 pentagonal bipyramids that share  a cornercorner with one Zr(3)N3O3 octahedra,  a cornercorner with one Zr(13)N2O5 pentagonal bipyramid,  a cornercorner with one Zr(2)NO6 pentagonal bipyramid,  an edgeedge with one Zr(16)N2O4 octahedra,  an edgeedge with one Zr(14)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(4)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(5)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(7)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(9)N2O5 pentagonal bipyramid, and  an edgeedge with one Zr(10)N3O4 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 52°. In the thirteenth Zr site, Zr(13) is bonded to one N(3), one N(5), one O(1), one O(13), one O(17), one O(18), and one O(2) atom to form distorted ZrN2O5 pentagonal bipyramids that share  a cornercorner with one Zr(3)N3O3 octahedra,  a cornercorner with one Zr(12)N3O4 pentagonal bipyramid,  a cornercorner with one Zr(2)NO6 pentagonal bipyramid,  an edgeedge with one Zr(16)N2O4 octahedra,  an edgeedge with one Zr(1)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(14)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(5)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(8)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(10)N3O4 pentagonal bipyramid, and  an edgeedge with one Zr(15)NO6 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 54°. In the fourteenth Zr site, Zr(14) is bonded to one N(4), one N(7), one O(13), one O(14), one O(15), one O(16), and one O(17) atom to form distorted ZrN2O5 pentagonal bipyramids that share  a cornercorner with one Zr(3)N3O3 octahedra,  a cornercorner with one Zr(1)N2O5 pentagonal bipyramid,  a cornercorner with one Zr(9)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(16)N2O4 octahedra,  an edgeedge with one Zr(13)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(4)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(7)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(8)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(12)N3O4 pentagonal bipyramid, and  an edgeedge with one Zr(15)NO6 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 49°. In the fifteenth Zr site, Zr(15) is bonded to one N(7), one O(15), one O(18), one O(2), one O(20), one O(4), and one O(9) atom to form distorted ZrNO6 pentagonal bipyramids that share  a cornercorner with one Zr(16)N2O4 octahedra,  a cornercorner with one Zr(7)N2O5 pentagonal bipyramid,  a cornercorner with one Zr(10)N3O4 pentagonal bipyramid,  an edgeedge with one Zr(3)N3O3 octahedra,  an edgeedge with one Zr(13)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(14)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(4)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(5)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(9)N2O5 pentagonal bipyramid, and  an edgeedge with one Zr(2)NO6 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 54°. In the sixteenth Zr site, Zr(16) is bonded to one N(6), one N(7), one O(1), one O(17), one O(19), and one O(5) atom to form distorted ZrN2O4 octahedra that share  a cornercorner with one Zr(4)N2O5 pentagonal bipyramid,  a cornercorner with one Zr(5)N2O5 pentagonal bipyramid,  a cornercorner with one Zr(7)N2O5 pentagonal bipyramid,  a cornercorner with one Zr(8)N2O5 pentagonal bipyramid,  a cornercorner with one Zr(10)N3O4 pentagonal bipyramid,  a cornercorner with one Zr(15)NO6 pentagonal bipyramid,  an edgeedge with one Zr(1)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(13)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(14)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(9)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(12)N3O4 pentagonal bipyramid, and  an edgeedge with one Zr(2)NO6 pentagonal bipyramid. There are eight inequivalent N sites. In the first N site, N(1) is bonded to one Zr(12), one Zr(4), one Zr(5), and one Zr(6) atom to form NZr4 tetrahedra that share  a cornercorner with one N(6)Zr4 tetrahedra,  a cornercorner with one N(8)Zr4 tetrahedra,  a cornercorner with one O(1)Zr4 tetrahedra,  a cornercorner with one O(10)Zr4 tetrahedra,  a cornercorner with one O(11)Zr4 tetrahedra,  a cornercorner with one O(13)Zr4 tetrahedra,  a cornercorner with one O(14)Zr4 tetrahedra,  a cornercorner with one O(17)Zr4 tetrahedra,  a cornercorner with one O(20)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,  a cornercorner with one N(7)Zr4 trigonal pyramid,  a cornercorner with one O(3)Zr4 trigonal pyramid,  a cornercorner with one O(4)Zr4 trigonal pyramid,  an edgeedge with one N(2)Zr4 tetrahedra,  an edgeedge with one O(12)Zr4 tetrahedra,  an edgeedge with one O(2)Zr4 tetrahedra,  an edgeedge with one O(8)Zr4 tetrahedra, and  an edgeedge with one O(16)Zr4 trigonal pyramid. In the second N site, N(2) is bonded to one Zr(12), one Zr(3), one Zr(5), and one Zr(9) atom to form NZr4 tetrahedra that share  a cornercorner with one N(4)Zr4 tetrahedra,  a cornercorner with one O(1)Zr4 tetrahedra,  a cornercorner with one O(10)Zr4 tetrahedra,  a cornercorner with one O(11)Zr4 tetrahedra,  a cornercorner with one O(12)Zr4 tetrahedra,  a cornercorner with one O(14)Zr4 tetrahedra,  a cornercorner with one O(15)Zr4 tetrahedra,  a cornercorner with one O(17)Zr4 tetrahedra,  a cornercorner with one O(19)Zr4 tetrahedra,  a cornercorner with one O(2)Zr4 tetrahedra,  a cornercorner with one O(20)Zr4 tetrahedra,  a cornercorner with one O(8)Zr4 tetrahedra,  a cornercorner with one O(9)Zr4 tetrahedra,  a cornercorner with one N(5)Zr4 trigonal pyramid,  a cornercorner with one O(3)Zr4 trigonal pyramid,  an edgeedge with one N(1)Zr4 tetrahedra,  an edgeedge with one N(6)Zr4 tetrahedra,  an edgeedge with one O(7)Zr4 tetrahedra, and  an edgeedge with one O(4)Zr4 trigonal pyramid. In the third N site, N(3) is bonded to one Zr(11), one Zr(13), one Zr(2), and one Zr(8) atom to form NZr4 tetrahedra that share  a cornercorner with one N(4)Zr4 tetrahedra,  a cornercorner with one O(1)Zr4 tetrahedra,  a cornercorner with one O(10)Zr4 tetrahedra,  a cornercorner with one O(11)Zr4 tetrahedra,  a cornercorner with one O(12)Zr4 tetrahedra,  a cornercorner with one O(14)Zr4 tetrahedra,  a cornercorner with one O(15)Zr4 tetrahedra,  a cornercorner with one O(17)Zr4 tetrahedra,  a cornercorner with one O(19)Zr4 tetrahedra,  a cornercorner with one O(2)Zr4 tetrahedra,  a cornercorner with one O(20)Zr4 tetrahedra,  a cornercorner with one O(8)Zr4 tetrahedra,  a cornercorner with one O(9)Zr4 tetrahedra,  a cornercorner with one N(5)Zr4 trigonal pyramid,  a cornercorner with one O(3)Zr4 trigonal pyramid,  an edgeedge with one O(13)Zr4 tetrahedra,  an edgeedge with one O(18)Zr4 tetrahedra,  an edgeedge with one O(5)Zr4 tetrahedra,  an edgeedge with one O(6)Zr4 tetrahedra, and  an edgeedge with one O(7)Zr4 tetrahedra. In the fourth N site, N(4) is bonded to one Zr(14), one Zr(3), one Zr(7), and one Zr(8) atom to form NZr4 tetrahedra that share  a cornercorner with one N(2)Zr4 tetrahedra,  a cornercorner with one N(3)Zr4 tetrahedra,  a cornercorner with one N(8)Zr4 tetrahedra,  a cornercorner with one O(10)Zr4 tetrahedra,  a cornercorner with one O(11)Zr4 tetrahedra,  a cornercorner with one O(12)Zr4 tetrahedra,  a cornercorner with one O(15)Zr4 tetrahedra,  a cornercorner with one O(17)Zr4 tetrahedra,  a cornercorner with one O(7)Zr4 tetrahedra,  a cornercorner with one O(9)Zr4 tetrahedra,  a cornercorner with one N(5)Zr4 trigonal pyramid,  a cornercorner with one N(7)Zr4 trigonal pyramid,  a cornercorner with one O(16)Zr4 trigonal pyramid,  an edgeedge with one O(13)Zr4 tetrahedra,  an edgeedge with one O(14)Zr4 tetrahedra,  an edgeedge with one O(5)Zr4 tetrahedra,  an edgeedge with one O(3)Zr4 trigonal pyramid, and  an edgeedge with one O(4)Zr4 trigonal pyramid. In the fifth N site, N(5) is bonded to one Zr(1), one Zr(10), one Zr(13), and one Zr(3) atom to form NZr4 trigonal pyramids that share  a cornercorner with one N(2)Zr4 tetrahedra,  a cornercorner with one N(3)Zr4 tetrahedra,  a cornercorner with one N(4)Zr4 tetrahedra,  a cornercorner with one N(6)Zr4 tetrahedra,  a cornercorner with one O(10)Zr4 tetrahedra,  a cornercorner with one O(11)Zr4 tetrahedra,  a cornercorner with one O(13)Zr4 tetrahedra,  a cornercorner with one O(17)Zr4 tetrahedra,  a cornercorner with one O(19)Zr4 tetrahedra,  a cornercorner with one O(2)Zr4 tetrahedra,  a cornercorner with one O(6)Zr4 tetrahedra,  a cornercorner with one O(8)Zr4 tetrahedra,  a cornercorner with one O(9)Zr4 tetrahedra,  a cornercorner with one O(16)Zr4 trigonal pyramid,  a cornercorner with one O(4)Zr4 trigonal pyramid,  an edgeedge with one N(8)Zr4 tetrahedra,  an edgeedge with one O(1)Zr4 tetrahedra,  an edgeedge with one O(18)Zr4 tetrahedra, and  an edgeedge with one O(3)Zr4 trigonal pyramid. In the sixth N site, N(6) is bonded to one Zr(10), one Zr(12), one Zr(16), and one Zr(9) atom to form NZr4 tetrahedra that share  a cornercorner with one N(1)Zr4 tetrahedra,  a cornercorner with one N(8)Zr4 tetrahedra,  a cornercorner with one O(1)Zr4 tetrahedra,  a cornercorner with one O(12)Zr4 tetrahedra,  a cornercorner with one O(14)Zr4 tetrahedra,  a cornercorner with one O(15)Zr4 tetrahedra,  a cornercorner with one O(18)Zr4 tetrahedra,  a cornercorner with one O(20)Zr4 tetrahedra,  a cornercorner with one O(5)Zr4 tetrahedra,  a cornercorner with one O(7)Zr4 tetrahedra,  a cornercorner with one N(5)Zr4 trigonal pyramid,  a cornercorner with one N(7)Zr4 trigonal pyramid,  a cornercorner with one O(3)Zr4 trigonal pyramid,  an edgeedge with one N(2)Zr4 tetrahedra,  an edgeedge with one O(11)Zr4 tetrahedra,  an edgeedge with one O(17)Zr4 tetrahedra,  an edgeedge with one O(19)Zr4 tetrahedra, and  an edgeedge with one O(8)Zr4 tetrahedra. In the seventh N site, N(7) is bonded to one Zr(14), one Zr(15), one Zr(16), and one Zr(4) atom to form NZr4 trigonal pyramids that share  a cornercorner with one N(1)Zr4 tetrahedra,  a cornercorner with one N(4)Zr4 tetrahedra,  a cornercorner with one N(6)Zr4 tetrahedra,  a cornercorner with one O(1)Zr4 tetrahedra,  a cornercorner with one O(13)Zr4 tetrahedra,  a cornercorner with one O(14)Zr4 tetrahedra,  a cornercorner with one O(18)Zr4 tetrahedra,  a cornercorner with one O(19)Zr4 tetrahedra,  a cornercorner with one O(2)Zr4 tetrahedra,  a cornercorner with one O(20)Zr4 tetrahedra,  a cornercorner with one O(5)Zr4 tetrahedra,  a cornercorner with one O(6)Zr4 tetrahedra,  a cornercorner with one O(8)Zr4 tetrahedra,  a cornercorner with one O(3)Zr4 trigonal pyramid,  a cornercorner with one O(4)Zr4 trigonal pyramid,  an edgeedge with one O(15)Zr4 tetrahedra,  an edgeedge with one O(17)Zr4 tetrahedra,  an edgeedge with one O(9)Zr4 tetrahedra, and  an edgeedge with one O(16)Zr4 trigonal pyramid. In the eighth N site, N(8) is bonded to one Zr(1), one Zr(10), one Zr(6), and one Zr(7) atom to form NZr4 tetrahedra that share  a cornercorner with one N(1)Zr4 tetrahedra,  a cornercorner with one N(4)Zr4 tetrahedra,  a cornercorner with one N(6)Zr4 tetrahedra,  a cornercorner with one O(1)Zr4 tetrahedra,  a cornercorner with one O(13)Zr4 tetrahedra,  a cornercorner with one O(14)Zr4 tetrahedra,  a cornercorner with one O(18)Zr4 tetrahedra,  a cornercorner with one O(19)Zr4 tetrahedra,  a cornercorner with one O(2)Zr4 tetrahedra,  a cornercorner with one O(20)Zr4 tetrahedra,  a cornercorner with one O(5)Zr4 tetrahedra,  a cornercorner with one O(6)Zr4 tetrahedra,  a cornercorner with one O(8)Zr4 tetrahedra,  a cornercorner with one O(3)Zr4 trigonal pyramid,  a cornercorner with one O(4)Zr4 trigonal pyramid,  an edgeedge with one O(10)Zr4 tetrahedra,  an edgeedge with one O(11)Zr4 tetrahedra,  an edgeedge with one O(12)Zr4 tetrahedra,  an edgeedge with one N(5)Zr4 trigonal pyramid, and  an edgeedge with one O(16)Zr4 trigonal pyramid. There are twenty inequivalent O sites. In the first O site, O(1) is bonded to one Zr(1), one Zr(13), one Zr(16), and one Zr(5) atom to form OZr4 tetrahedra that share  a cornercorner with one N(1)Zr4 tetrahedra,  a cornercorner with one N(2)Zr4 tetrahedra,  a cornercorner with one N(3)Zr4 tetrahedra,  a cornercorner with one N(6)Zr4 tetrahedra,  a cornercorner with one N(8)Zr4 tetrahedra,  a cornercorner with one O(13)Zr4 tetrahedra,  a cornercorner with one O(18)Zr4 tetrahedra,  a cornercorner with one O(5)Zr4 tetrahedra,  a cornercorner with one O(6)Zr4 tetrahedra,  a cornercorner with one O(7)Zr4 tetrahedra,  a cornercorner with one N(7)Zr4 trigonal pyramid,  a cornercorner with one O(16)Zr4 trigonal pyramid,  a cornercorner with one O(4)Zr4 trigonal pyramid,  an edgeedge with one O(10)Zr4 tetrahedra,  an edgeedge with one O(17)Zr4 tetrahedra,  an edgeedge with one O(19)Zr4 tetrahedra,  an edgeedge with one O(2)Zr4 tetrahedra, and  an edgeedge with one N(5)Zr4 trigonal pyramid. In the second O site, O(2) is bonded to one Zr(13), one Zr(15), one Zr(5), and one Zr(6) atom to form OZr4 tetrahedra that share  a cornercorner with one N(2)Zr4 tetrahedra,  a cornercorner with one N(3)Zr4 tetrahedra,  a cornercorner with one N(8)Zr4 tetrahedra,  a cornercorner with one O(10)Zr4 tetrahedra,  a cornercorner with one O(11)Zr4 tetrahedra,  a cornercorner with one O(12)Zr4 tetrahedra,  a cornercorner with one O(15)Zr4 tetrahedra,  a cornercorner with one O(17)Zr4 tetrahedra,  a cornercorner with one O(7)Zr4 tetrahedra,  a cornercorner with one O(9)Zr4 tetrahedra,  a cornercorner with one N(5)Zr4 trigonal pyramid,  a cornercorner with one N(7)Zr4 trigonal pyramid,  a cornercorner with one O(16)Zr4 trigonal pyramid,  an edgeedge with one N(1)Zr4 tetrahedra,  an edgeedge with one O(1)Zr4 tetrahedra,  an edgeedge with one O(13)Zr4 tetrahedra,  an edgeedge with one O(18)Zr4 tetrahedra,  an edgeedge with one O(20)Zr4 tetrahedra, and  an edgeedge with one O(4)Zr4 trigonal pyramid. In the third O site, O(3) is bonded to one Zr(10), one Zr(3), one Zr(4), and one Zr(8) atom to form distorted OZr4 trigonal pyramids that share  a cornercorner with one N(1)Zr4 tetrahedra,  a cornercorner with one N(2)Zr4 tetrahedra,  a cornercorner with one N(3)Zr4 tetrahedra,  a cornercorner with one N(6)Zr4 tetrahedra,  a cornercorner with one N(8)Zr4 tetrahedra,  a cornercorner with one O(13)Zr4 tetrahedra,  a cornercorner with one O(18)Zr4 tetrahedra,  a cornercorner with one O(5)Zr4 tetrahedra,  a cornercorner with one O(6)Zr4 tetrahedra,  a cornercorner with one O(7)Zr4 tetrahedra,  a cornercorner with one N(7)Zr4 trigonal pyramid,  a cornercorner with one O(16)Zr4 trigonal pyramid,  a cornercorner with one O(4)Zr4 trigonal pyramid,  an edgeedge with one N(4)Zr4 tetrahedra,  an edgeedge with one O(11)Zr4 tetrahedra,  an edgeedge with one O(8)Zr4 tetrahedra,  an edgeedge with one O(9)Zr4 tetrahedra, and  an edgeedge with one N(5)Zr4 trigonal pyramid. In the fourth O site, O(4) is bonded to one Zr(15), one Zr(3), one Zr(5), and one Zr(7) atom to form distorted OZr4 trigonal pyramids that share  a cornercorner with one N(1)Zr4 tetrahedra,  a cornercorner with one N(8)Zr4 tetrahedra,  a cornercorner with one O(1)Zr4 tetrahedra,  a cornercorner with one O(12)Zr4 tetrahedra,  a cornercorner with one O(14)Zr4 tetrahedra,  a cornercorner with one O(15)Zr4 tetrahedra,  a cornercorner with one O(18)Zr4 tetrahedra,  a cornercorner with one O(20)Zr4 tetrahedra,  a cornercorner with one O(5)Zr4 tetrahedra,  a cornercorner with one O(7)Zr4 tetrahedra,  a cornercorner with one N(5)Zr4 trigonal pyramid,  a cornercorner with one N(7)Zr4 trigonal pyramid,  a cornercorner with one O(3)Zr4 trigonal pyramid,  an edgeedge with one N(2)Zr4 tetrahedra,  an edgeedge with one N(4)Zr4 tetrahedra,  an edgeedge with one O(10)Zr4 tetrahedra,  an edgeedge with one O(2)Zr4 tetrahedra, and  an edgeedge with one O(9)Zr4 tetrahedra. In the fifth O site, O(5) is bonded to one Zr(16), one Zr(2), one Zr(7), and one Zr(8) atom to form distorted OZr4 tetrahedra that share  a cornercorner with one N(6)Zr4 tetrahedra,  a cornercorner with one N(8)Zr4 tetrahedra,  a cornercorner with one O(1)Zr4 tetrahedra,  a cornercorner with one O(10)Zr4 tetrahedra,  a cornercorner with one O(11)Zr4 tetrahedra,  a cornercorner with one O(13)Zr4 tetrahedra,  a cornercorner with one O(14)Zr4 tetrahedra,  a cornercorner with one O(17)Zr4 tetrahedra,  a cornercorner with one O(20)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,  a cornercorner with one N(7)Zr4 trigonal pyramid,  a cornercorner with one O(3)Zr4 trigonal pyramid,  a cornercorner with one O(4)Zr4 trigonal pyramid,  an edgeedge with one N(3)Zr4 tetrahedra,  an edgeedge with one N(4)Zr4 tetrahedra,  an edgeedge with one O(12)Zr4 tetrahedra, and  an edgeedge with one O(19)Zr4 tetrahedra. In the sixth O site, O(6) is bonded to one Zr(1), one Zr(11), one Zr(2), and one Zr(4) atom to form OZr4 tetrahedra that share  a cornercorner with one N(1)Zr4 tetrahedra,  a cornercorner with one N(8)Zr4 tetrahedra,  a cornercorner with one O(1)Zr4 tetrahedra,  a cornercorner with one O(12)Zr4 tetrahedra,  a cornercorner with one O(14)Zr4 tetrahedra,  a cornercorner with one O(15)Zr4 tetrahedra,  a cornercorner with one O(18)Zr4 tetrahedra,  a cornercorner with one O(20)Zr4 tetrahedra,  a cornercorner with one O(5)Zr4 tetrahedra,  a cornercorner with one O(7)Zr4 tetrahedra,  a cornercorner with one N(5)Zr4 trigonal pyramid,  a cornercorner with one N(7)Zr4 trigonal pyramid,  a cornercorner with one O(3)Zr4 trigonal pyramid,  an edgeedge with one N(3)Zr4 tetrahedra,  an edgeedge with one O(10)Zr4 tetrahedra,  an edgeedge with one O(19)Zr4 tetrahedra,  an edgeedge with one O(8)Zr4 tetrahedra,  an edgeedge with one O(9)Zr4 tetrahedra, and  an edgeedge with one O(16)Zr4 trigonal pyramid. In the seventh O site, O(7) is bonded to one Zr(11), one Zr(5), one Zr(8), and one Zr(9) atom to form OZr4 tetrahedra that share  a cornercorner with one N(1)Zr4 tetrahedra,  a cornercorner with one N(4)Zr4 tetrahedra,  a cornercorner with one N(6)Zr4 tetrahedra,  a cornercorner with one O(1)Zr4 tetrahedra,  a cornercorner with one O(13)Zr4 tetrahedra,  a cornercorner with one O(14)Zr4 tetrahedra,  a cornercorner with one O(18)Zr4 tetrahedra,  a cornercorner with one O(19)Zr4 tetrahedra,  a cornercorner with one O(2)Zr4 tetrahedra,  a cornercorner with one O(20)Zr4 tetrahedra,  a cornercorner with one O(5)Zr4 tetrahedra,  a cornercorner with one O(6)Zr4 tetrahedra,  a cornercorner with one O(8)Zr4 tetrahedra,  a cornercorner with one O(3)Zr4 trigonal pyramid,  a cornercorner with one O(4)Zr4 trigonal pyramid,  an edgeedge with one N(2)Zr4 tetrahedra,  an edgeedge with one N(3)Zr4 tetrahedra,  an edgeedge with one O(10)Zr4 tetrahedra,  an edgeedge with one O(11)Zr4 tetrahedra, and  an edgeedge with one O(15)Zr4 tetrahedra. In the eighth O site, O(8) is bonded to one Zr(10), one Zr(11), one Zr(12), and one Zr(4) atom to form OZr4 tetrahedra that share  a cornercorner with one N(2)Zr4 tetrahedra,  a cornercorner with one N(3)Zr4 tetrahedra,  a cornercorner with one N(8)Zr4 tetrahedra,  a cornercorner with one O(10)Zr4 tetrahedra,  a cornercorner with one O(11)Zr4 tetrahedra,  a cornercorner with one O(12)Zr4 tetrahedra,  a cornercorner with one O(15)Zr4 tetrahedra,  a cornercorner with one O(17)Zr4 tetrahedra,  a cornercorner with one O(7)Zr4 tetrahedra,  a cornercorner with one O(9)Zr4 tetrahedra,  a cornercorner with one N(5)Zr4 trigonal pyramid,  a cornercorner with one N(7)Zr4 trigonal pyramid,  a cornercorner with one O(16)Zr4 trigonal pyramid,  an edgeedge with one N(1)Zr4 tetrahedra,  an edgeedge with one N(6)Zr4 tetrahedra,  an edgeedge with one O(14)Zr4 tetrahedra,  an edgeedge with one O(18)Zr4 tetrahedra,  an edgeedge with one O(6)Zr4 tetrahedra, and  an edgeedge with one O(3)Zr4 trigonal pyramid. In the ninth O site, O(9) is bonded to one Zr(15), one Zr(2), one Zr(3), and one Zr(4) atom to form OZr4 tetrahedra that share  a cornercorner with one N(1)Zr4 tetrahedra,  a cornercorner with one N(2)Zr4 tetrahedra,  a cornercorner with one N(3)Zr4 tetrahedra,  a cornercorner with one N(4)Zr4 tetrahedra,  a cornercorner with one O(12)Zr4 tetrahedra,  a cornercorner with one O(15)Zr4 tetrahedra,  a cornercorner with one O(18)Zr4 tetrahedra,  a cornercorner with one O(19)Zr4 tetrahedra,  a cornercorner with one O(2)Zr4 tetrahedra,  a cornercorner with one O(5)Zr4 tetrahedra,  a cornercorner with one O(8)Zr4 tetrahedra,  a cornercorner with one N(5)Zr4 trigonal pyramid,  a cornercorner with one O(16)Zr4 trigonal pyramid,  an edgeedge with one O(20)Zr4 tetrahedra,  an edgeedge with one O(6)Zr4 tetrahedra,  an edgeedge with one N(7)Zr4 trigonal pyramid,  an edgeedge with one O(3)Zr4 trigonal pyramid, and  an edgeedge with one O(4)Zr4 trigonal pyramid. In the tenth O site, O(10) is bonded to one Zr(1), one Zr(11), one Zr(5), and one Zr(7) atom to form OZr4 tetrahedra that share  a cornercorner with one N(1)Zr4 tetrahedra,  a cornercorner with one N(2)Zr4 tetrahedra,  a cornercorner with one N(3)Zr4 tetrahedra,  a cornercorner with one N(4)Zr4 tetrahedra,  a cornercorner with one O(12)Zr4 tetrahedra,  a cornercorner with one O(15)Zr4 tetrahedra,  a cornercorner with one O(18)Zr4 tetrahedra,  a cornercorner with one O(19)Zr4 tetrahedra,  a cornercorner with one O(2)Zr4 tetrahedra,  a cornercorner with one O(5)Zr4 tetrahedra,  a cornercorner with one O(8)Zr4 tetrahedra,  a cornercorner with one N(5)Zr4 trigonal pyramid,  a cornercorner with one O(16)Zr4 trigonal pyramid,  an edgeedge with one N(8)Zr4 tetrahedra,  an edgeedge with one O(1)Zr4 tetrahedra,  an edgeedge with one O(14)Zr4 tetrahedra,  an edgeedge with one O(6)Zr4 tetrahedra,  an edgeedge with one O(7)Zr4 tetrahedra, and  an edgeedge with one O(4)Zr4 trigonal pyramid. In the eleventh O site, O(11) is bonded to one Zr(10), one Zr(6), one Zr(8), and one Zr(9) atom to form OZr4 tetrahedra that share  a cornercorner with one N(1)Zr4 tetrahedra,  a cornercorner with one N(2)Zr4 tetrahedra,  a cornercorner with one N(3)Zr4 tetrahedra,  a cornercorner with one N(4)Zr4 tetrahedra,  a cornercorner with one O(12)Zr4 tetrahedra,  a cornercorner with one O(15)Zr4 tetrahedra,  a cornercorner with one O(18)Zr4 tetrahedra,  a cornercorner with one O(19)Zr4 tetrahedra,  a cornercorner with one O(2)Zr4 tetrahedra,  a cornercorner with one O(5)Zr4 tetrahedra,  a cornercorner with one O(8)Zr4 tetrahedra,  a cornercorner with one N(5)Zr4 trigonal pyramid,  a cornercorner with one O(16)Zr4 trigonal pyramid,  an edgeedge with one N(6)Zr4 tetrahedra,  an edgeedge with one N(8)Zr4 tetrahedra,  an edgeedge with one O(13)Zr4 tetrahedra,  an edgeedge with one O(20)Zr4 tetrahedra,  an edgeedge with one O(7)Zr4 tetrahedra, and  an edgeedge with one O(3)Zr4 trigonal pyramid. In the twelfth O site, O(12) is bonded to one Zr(12), one Zr(2), one Zr(6), and one Zr(7) atom to form distorted OZr4 tetrahedra that share  a cornercorner with one N(2)Zr4 tetrahedra,  a cornercorner with one N(3)Zr4 tetrahedra,  a cornercorner with one N(4)Zr4 tetrahedra,  a cornercorner with one N(6)Zr4 tetrahedra,  a cornercorner with one O(10)Zr4 tetrahedra,  a cornercorner with one O(11)Zr4 tetrahedra,  a cornercorner with one O(13)Zr4 tetrahedra,  a cornercorner with one O(17)Zr4 tetrahedra,  a cornercorner with one O(19)Zr4 tetrahedra,  a cornercorner with one O(2)Zr4 tetrahedra,  a cornercorner with one O(6)Zr4 tetrahedra,  a cornercorner with one O(8)Zr4 tetrahedra,  a cornercorner with one O(9)Zr4 tetrahedra,  a cornercorner with one O(16)Zr4 trigonal pyramid,  a cornercorner with one O(4)Zr4 trigonal pyramid,  an edgeedge with one N(1)Zr4 tetrahedra,  an edgeedge with one N(8)Zr4 tetrahedra,  an edgeedge with one O(14)Zr4 tetrahedra,  an edgeedge with one O(20)Zr4 tetrahedra, and  an edgeedge with one O(5)Zr4 tetrahedra. In the thirteenth O site, O(13) is bonded to one Zr(13), one Zr(14), one Zr(6), and one Zr(8) atom to form OZr4 tetrahedra that share  a cornercorner with one N(1)Zr4 tetrahedra,  a cornercorner with one N(8)Zr4 tetrahedra,  a cornercorner with one O(1)Zr4 tetrahedra,  a cornercorner with one O(12)Zr4 tetrahedra,  a cornercorner with one O(14)Zr4 tetrahedra,  a cornercorner with one O(15)Zr4 tetrahedra,  a cornercorner with one O(18)Zr4 tetrahedra,  a cornercorner with one O(20)Zr4 tetrahedra,  a cornercorner with one O(5)Zr4 tetrahedra,  a cornercorner with one O(7)Zr4 tetrahedra,  a cornercorner with one N(5)Zr4 trigonal pyramid,  a cornercorner with one N(7)Zr4 trigonal pyramid,  a cornercorner with one O(3)Zr4 trigonal pyramid,  an edgeedge with one N(3)Zr4 tetrahedra,  an edgeedge with one N(4)Zr4 tetrahedra,  an edgeedge with one O(11)Zr4 tetrahedra,  an edgeedge with one O(17)Zr4 tetrahedra,  an edgeedge with one O(2)Zr4 tetrahedra, and  an edgeedge with one O(16)Zr4 trigonal pyramid. In the fourteenth O site, O(14) is bonded to one Zr(11), one Zr(12), one Zr(14), and one Zr(7) atom to form OZr4 tetrahedra that share  a cornercorner with one N(1)Zr4 tetrahedra,  a cornercorner with one N(2)Zr4 tetrahedra,  a cornercorner with one N(3)Zr4 tetrahedra,  a cornercorner with one N(6)Zr4 tetrahedra,  a cornercorner with one N(8)Zr4 tetrahedra,  a cornercorner with one O(13)Zr4 tetrahedra,  a cornercorner with one O(18)Zr4 tetrahedra,  a cornercorner with one O(5)Zr4 tetrahedra,  a cornercorner with one O(6)Zr4 tetrahedra,  a cornercorner with one O(7)Zr4 tetrahedra,  a cornercorner with one N(7)Zr4 trigonal pyramid,  a cornercorner with one O(16)Zr4 trigonal pyramid,  a cornercorner with one O(4)Zr4 trigonal pyramid,  an edgeedge with one N(4)Zr4 tetrahedra,  an edgeedge with one O(10)Zr4 tetrahedra,  an edgeedge with one O(12)Zr4 tetrahedra,  an edgeedge with one O(15)Zr4 tetrahedra,  an edgeedge with one O(17)Zr4 tetrahedra, and  an edgeedge with one O(8)Zr4 tetrahedra. In the fifteenth O site, O(15) is bonded to one Zr(11), one Zr(14), one Zr(15), and one Zr(9) atom to form OZr4 tetrahedra that share  a cornercorner with one N(2)Zr4 tetrahedra,  a cornercorner with one N(3)Zr4 tetrahedra,  a cornercorner with one N(4)Zr4 tetrahedra,  a cornercorner with one N(6)Zr4 tetrahedra,  a cornercorner with one O(10)Zr4 tetrahedra,  a cornercorner with one O(11)Zr4 tetrahedra,  a cornercorner with one O(13)Zr4 tetrahedra,  a cornercorner with one O(17)Zr4 tetrahedra,  a cornercorner with one O(19)Zr4 tetrahedra,  a cornercorner with one O(2)Zr4 tetrahedra,  a cornercorner with one O(6)Zr4 tetrahedra,  a cornercorner with one O(8)Zr4 tetrahedra,  a cornercorner with one O(9)Zr4 tetrahedra,  a cornercorner with one O(16)Zr4 trigonal pyramid,  a cornercorner with one O(4)Zr4 trigonal pyramid,  an edgeedge with one O(14)Zr4 tetrahedra,  an edgeedge with one O(18)Zr4 tetrahedra,  an edgeedge with one O(20)Zr4 tetrahedra,  an edgeedge with one O(7)Zr4 tetrahedra, and  an edgeedge with one N(7)Zr4 trigonal pyramid. In the sixteenth O site, O(16) is bonded to one Zr(1), one Zr(14), one Zr(4), and one Zr(6) atom to form distorted OZr4 trigonal pyramids that share  a cornercorner with one N(4)Zr4 tetrahedra,  a cornercorner with one O(1)Zr4 tetrahedra,  a cornercorner with one O(10)Zr4 tetrahedra,  a cornercorner with one O(11)Zr4 tetrahedra,  a cornercorner with one O(12)Zr4 tetrahedra,  a cornercorner with one O(14)Zr4 tetrahedra,  a cornercorner with one O(15)Zr4 tetrahedra,  a cornercorner with one O(17)Zr4 tetrahedra,  a cornercorner with one O(19)Zr4 tetrahedra,  a cornercorner with one O(2)Zr4 tetrahedra,  a cornercorner with one O(20)Zr4 tetrahedra,  a cornercorner with one O(8)Zr4 tetrahedra,  a cornercorner with one O(9)Zr4 tetrahedra,  a cornercorner with one N(5)Zr4 trigonal pyramid,  a cornercorner with one O(3)Zr4 trigonal pyramid,  an edgeedge with one N(1)Zr4 tetrahedra,  an edgeedge with one N(8)Zr4 tetrahedra,  an edgeedge with one O(13)Zr4 tetrahedra,  an edgeedge with one O(6)Zr4 tetrahedra, and  an edgeedge with one N(7)Zr4 trigonal pyramid. In the seventeenth O site, O(17) is bonded to one Zr(12), one Zr(13), one Zr(14), and one Zr(16) atom to form OZr4 tetrahedra that share  a cornercorner with one N(1)Zr4 tetrahedra,  a cornercorner with one N(2)Zr4 tetrahedra,  a cornercorner with one N(3)Zr4 tetrahedra,  a cornercorner with one N(4)Zr4 tetrahedra,  a cornercorner with one O(12)Zr4 tetrahedra,  a cornercorner with one O(15)Zr4 tetrahedra,  a cornercorner with one O(18)Zr4 tetrahedra,  a cornercorner with one O(19)Zr4 tetrahedra,  a cornercorner with one O(2)Zr4 tetrahedra,  a cornercorner with one O(5)Zr4 tetrahedra,  a cornercorner with one O(8)Zr4 tetrahedra,  a cornercorner with one N(5)Zr4 trigonal pyramid,  a cornercorner with one O(16)Zr4 trigonal pyramid,  an edgeedge with one N(6)Zr4 tetrahedra,  an edgeedge with one O(1)Zr4 tetrahedra,  an edgeedge with one O(13)Zr4 tetrahedra,  an edgeedge with one O(14)Zr4 tetrahedra, and  an edgeedge with one N(7)Zr4 trigonal pyramid. In the eighteenth O site, O(18) is bonded to one Zr(10), one Zr(11), one Zr(13), and one Zr(15) atom to form OZr4 tetrahedra that share  a cornercorner with one N(6)Zr4 tetrahedra,  a cornercorner with one N(8)Zr4 tetrahedra,  a cornercorner with one O(1)Zr4 tetrahedra,  a cornercorner with one O(10)Zr4 tetrahedra,  a cornercorner with one O(11)Zr4 tetrahedra,  a cornercorner with one O(13)Zr4 tetrahedra,  a cornercorner with one O(14)Zr4 tetrahedra,  a cornercorner with one O(17)Zr4 tetrahedra,  a cornercorner with one O(20)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,  a cornercorner with one N(7)Zr4 trigonal pyramid,  a cornercorner with one O(3)Zr4 trigonal pyramid,  a cornercorner with one O(4)Zr4 trigonal pyramid,  an edgeedge with one N(3)Zr4 tetrahedra,  an edgeedge with one O(15)Zr4 tetrahedra,  an edgeedge with one O(2)Zr4 tetrahedra,  an edgeedge with one O(8)Zr4 tetrahedra, and  an edgeedge with one N(5)Zr4 trigonal pyramid. In the nineteenth O site, O(19) is bonded to one Zr(1), one Zr(16), one Zr(2), and one Zr(9) atom to form OZr4 tetrahedra that share  a cornercorner with one N(2)Zr4 tetrahedra,  a cornercorner with one N(3)Zr4 tetrahedra,  a cornercorner with one N(8)Zr4 tetrahedra,  a cornercorner with one O(10)Zr4 tetrahedra,  a cornercorner with one O(11)Zr4 tetrahedra,  a cornercorner with one O(12)Zr4 tetrahedra,  a cornercorner with one O(15)Zr4 tetrahedra,  a cornercorner with one O(17)Zr4 tetrahedra,  a cornercorner with one O(7)Zr4 tetrahedra,  a cornercorner with one O(9)Zr4 tetrahedra,  a cornercorner with one N(5)Zr4 trigonal pyramid,  a cornercorner with one N(7)Zr4 trigonal pyramid,  a cornercorner with one O(16)Zr4 trigonal pyramid,  an edgeedge with one N(6)Zr4 tetrahedra,  an edgeedge with one O(1)Zr4 tetrahedra,  an edgeedge with one O(20)Zr4 tetrahedra,  an edgeedge with one O(5)Zr4 tetrahedra, and  an edgeedge with one O(6)Zr4 tetrahedra. In the twentieth O site, O(20) is bonded to one Zr(15), one Zr(2), one Zr(6), and one Zr(9) atom to form OZr4 tetrahedra that share  a cornercorner with one N(1)Zr4 tetrahedra,  a cornercorner with one N(2)Zr4 tetrahedra,  a cornercorner with one N(3)Zr4 tetrahedra,  a cornercorner with one N(6)Zr4 tetrahedra,  a cornercorner with one N(8)Zr4 tetrahedra,  a cornercorner with one O(13)Zr4 tetrahedra,  a cornercorner with one O(18)Zr4 tetrahedra,  a cornercorner with one O(5)Zr4 tetrahedra,  a cornercorner with one O(6)Zr4 tetrahedra,  a cornercorner with one O(7)Zr4 tetrahedra,  a cornercorner with one N(7)Zr4 trigonal pyramid,  a cornercorner with one O(16)Zr4 trigonal pyramid,  a cornercorner with one O(4)Zr4 trigonal pyramid,  an edgeedge with one O(11)Zr4 tetrahedra,  an edgeedge with one O(12)Zr4 tetrahedra,  an edgeedge with one O(15)Zr4 tetrahedra,  an edgeedge with one O(19)Zr4 tetrahedra,  an edgeedge with one O(2)Zr4 tetrahedra, and  an edgeedge with one O(9)Zr4 tetrahedra.
Zr4N2O5 crystallizes in the triclinic P1 space group. There are sixteen inequivalent Zr sites. In the first Zr site, Zr(1) is bonded to one N(5), one N(8), one O(1), one O(10), one O(16), one O(19), and one O(6) atom to form distorted ZrN2O5 pentagonal bipyramids that share  a cornercorner with one Zr(3)N3O3 octahedra,  a cornercorner with one Zr(14)N2O5 pentagonal bipyramid,  a cornercorner with one Zr(9)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(16)N2O4 octahedra,  an edgeedge with one Zr(13)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(4)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(5)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(7)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(10)N3O4 pentagonal bipyramid, and  an edgeedge with one Zr(2)NO6 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 55°. The Zr(1)-N(5) bond length is 2.22 Å. The Zr(1)-N(8) bond length is 2.16 Å. The Zr(1)-O(1) bond length is 2.24 Å. The Zr(1)-O(10) bond length is 2.21 Å. The Zr(1)-O(16) bond length is 2.16 Å. The Zr(1)-O(19) bond length is 2.33 Å. The Zr(1)-O(6) bond length is 2.20 Å. In the second Zr site, Zr(2) is bonded to one N(3), one O(12), one O(19), one O(20), one O(5), one O(6), and one O(9) atom to form distorted ZrNO6 pentagonal bipyramids that share  a cornercorner with one Zr(3)N3O3 octahedra,  a cornercorner with one Zr(13)N2O5 pentagonal bipyramid,  a cornercorner with one Zr(12)N3O4 pentagonal bipyramid,  an edgeedge with one Zr(16)N2O4 octahedra,  an edgeedge with one Zr(1)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(4)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(7)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(8)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(9)N2O5 pentagonal bipyramid, and  an edgeedge with one Zr(15)NO6 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 46°. The Zr(2)-N(3) bond length is 2.23 Å. The Zr(2)-O(12) bond length is 2.24 Å. The Zr(2)-O(19) bond length is 2.21 Å. The Zr(2)-O(20) bond length is 2.20 Å. The Zr(2)-O(5) bond length is 2.19 Å. The Zr(2)-O(6) bond length is 2.17 Å. The Zr(2)-O(9) bond length is 2.15 Å. In the third Zr site, Zr(3) is bonded to one N(2), one N(4), one N(5), one O(3), one O(4), and one O(9) atom to form ZrN3O3 octahedra that share  a cornercorner with one Zr(1)N2O5 pentagonal bipyramid,  a cornercorner with one Zr(13)N2O5 pentagonal bipyramid,  a cornercorner with one Zr(14)N2O5 pentagonal bipyramid,  a cornercorner with one Zr(9)N2O5 pentagonal bipyramid,  a cornercorner with one Zr(12)N3O4 pentagonal bipyramid,  a cornercorner with one Zr(2)NO6 pentagonal bipyramid,  an edgeedge with one Zr(4)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(5)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(7)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(8)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(10)N3O4 pentagonal bipyramid, and  an edgeedge with one Zr(15)NO6 pentagonal bipyramid. The Zr(3)-N(2) bond length is 2.17 Å. The Zr(3)-N(4) bond length is 2.10 Å. The Zr(3)-N(5) bond length is 2.18 Å. The Zr(3)-O(3) bond length is 2.26 Å. The Zr(3)-O(4) bond length is 2.26 Å. The Zr(3)-O(9) bond length is 2.17 Å. In the fourth Zr site, Zr(4) is bonded to one N(1), one N(7), one O(16), one O(3), one O(6), one O(8), and one O(9) atom to form distorted ZrN2O5 pentagonal bipyramids that share  a cornercorner with one Zr(16)N2O4 octahedra,  a cornercorner with one Zr(5)N2O5 pentagonal bipyramid,  a cornercorner with one Zr(8)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(3)N3O3 octahedra,  an edgeedge with one Zr(1)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(14)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(10)N3O4 pentagonal bipyramid,  an edgeedge with one Zr(12)N3O4 pentagonal bipyramid,  an edgeedge with one Zr(15)NO6 pentagonal bipyramid, and  an edgeedge with one Zr(2)NO6 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 55°. The Zr(4)-N(1) bond length is 2.11 Å. The Zr(4)-N(7) bond length is 2.26 Å. The Zr(4)-O(16) bond length is 2.24 Å. The Zr(4)-O(3) bond length is 2.22 Å. The Zr(4)-O(6) bond length is 2.21 Å. The Zr(4)-O(8) bond length is 2.17 Å. The Zr(4)-O(9) bond length is 2.34 Å. In the fifth Zr site, Zr(5) is bonded to one N(1), one N(2), one O(1), one O(10), one O(2), one O(4), and one O(7) atom to form distorted ZrN2O5 pentagonal bipyramids that share  a cornercorner with one Zr(16)N2O4 octahedra,  a cornercorner with one Zr(4)N2O5 pentagonal bipyramid,  a cornercorner with one Zr(8)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(3)N3O3 octahedra,  an edgeedge with one Zr(1)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(13)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(7)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(9)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(12)N3O4 pentagonal bipyramid, and  an edgeedge with one Zr(15)NO6 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 46°. The Zr(5)-N(1) bond length is 2.24 Å. The Zr(5)-N(2) bond length is 2.14 Å. The Zr(5)-O(1) bond length is 2.25 Å. The Zr(5)-O(10) bond length is 2.20 Å. The Zr(5)-O(2) bond length is 2.16 Å. The Zr(5)-O(4) bond length is 2.29 Å. The Zr(5)-O(7) bond length is 2.27 Å. In the sixth Zr site, Zr(6) is bonded in a body-centered cubic geometry to one N(1), one N(8), one O(11), one O(12), one O(13), one O(16), one O(2), and one O(20) atom. The Zr(6)-N(1) bond length is 2.23 Å. The Zr(6)-N(8) bond length is 2.22 Å. The Zr(6)-O(11) bond length is 2.26 Å. The Zr(6)-O(12) bond length is 2.37 Å. The Zr(6)-O(13) bond length is 2.22 Å. The Zr(6)-O(16) bond length is 2.42 Å. The Zr(6)-O(2) bond length is 2.31 Å. The Zr(6)-O(20) bond length is 2.23 Å. In the seventh Zr site, Zr(7) is bonded to one N(4), one N(8), one O(10), one O(12), one O(14), one O(4), and one O(5) atom to form distorted ZrN2O5 pentagonal bipyramids that share  a cornercorner with one Zr(16)N2O4 octahedra,  a cornercorner with one Zr(10)N3O4 pentagonal bipyramid,  a cornercorner with one Zr(15)NO6 pentagonal bipyramid,  an edgeedge with one Zr(3)N3O3 octahedra,  an edgeedge with one Zr(1)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(14)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(5)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(8)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(12)N3O4 pentagonal bipyramid, and  an edgeedge with one Zr(2)NO6 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 54°. The Zr(7)-N(4) bond length is 2.23 Å. The Zr(7)-N(8) bond length is 2.17 Å. The Zr(7)-O(10) bond length is 2.13 Å. The Zr(7)-O(12) bond length is 2.24 Å. The Zr(7)-O(14) bond length is 2.17 Å. The Zr(7)-O(4) bond length is 2.23 Å. The Zr(7)-O(5) bond length is 2.37 Å. In the eighth Zr site, Zr(8) is bonded to one N(3), one N(4), one O(11), one O(13), one O(3), one O(5), and one O(7) atom to form distorted ZrN2O5 pentagonal bipyramids that share  a cornercorner with one Zr(16)N2O4 octahedra,  a cornercorner with one Zr(4)N2O5 pentagonal bipyramid,  a cornercorner with one Zr(5)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(3)N3O3 octahedra,  an edgeedge with one Zr(13)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(14)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(7)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(9)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(10)N3O4 pentagonal bipyramid, and  an edgeedge with one Zr(2)NO6 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 51°. The Zr(8)-N(3) bond length is 2.20 Å. The Zr(8)-N(4) bond length is 2.17 Å. The Zr(8)-O(11) bond length is 2.11 Å. The Zr(8)-O(13) bond length is 2.19 Å. The Zr(8)-O(3) bond length is 2.25 Å. The Zr(8)-O(5) bond length is 2.33 Å. The Zr(8)-O(7) bond length is 2.24 Å. In the ninth Zr site, Zr(9) is bonded to one N(2), one N(6), one O(11), one O(15), one O(19), one O(20), and one O(7) atom to form distorted ZrN2O5 pentagonal bipyramids that share  a cornercorner with one Zr(3)N3O3 octahedra,  a cornercorner with one Zr(1)N2O5 pentagonal bipyramid,  a cornercorner with one Zr(14)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(16)N2O4 octahedra,  an edgeedge with one Zr(5)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(8)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(10)N3O4 pentagonal bipyramid,  an edgeedge with one Zr(12)N3O4 pentagonal bipyramid,  an edgeedge with one Zr(15)NO6 pentagonal bipyramid, and  an edgeedge with one Zr(2)NO6 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 54°. The Zr(9)-N(2) bond length is 2.24 Å. The Zr(9)-N(6) bond length is 2.17 Å. The Zr(9)-O(11) bond length is 2.18 Å. The Zr(9)-O(15) bond length is 2.22 Å. The Zr(9)-O(19) bond length is 2.22 Å. The Zr(9)-O(20) bond length is 2.22 Å. The Zr(9)-O(7) bond length is 2.27 Å. In the tenth Zr site, Zr(10) is bonded to one N(5), one N(6), one N(8), one O(11), one O(18), one O(3), and one O(8) atom to form distorted ZrN3O4 pentagonal bipyramids that share  a cornercorner with one Zr(16)N2O4 octahedra,  a cornercorner with one Zr(7)N2O5 pentagonal bipyramid,  a cornercorner with one Zr(15)NO6 pentagonal bipyramid,  an edgeedge with one Zr(3)N3O3 octahedra,  an edgeedge with one Zr(1)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(13)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(4)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(8)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(9)N2O5 pentagonal bipyramid, and  an edgeedge with one Zr(12)N3O4 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 47°. The Zr(10)-N(5) bond length is 2.21 Å. The Zr(10)-N(6) bond length is 2.18 Å. The Zr(10)-N(8) bond length is 2.27 Å. The Zr(10)-O(11) bond length is 2.16 Å. The Zr(10)-O(18) bond length is 2.32 Å. The Zr(10)-O(3) bond length is 2.26 Å. The Zr(10)-O(8) bond length is 2.19 Å. In the eleventh Zr site, Zr(11) is bonded in a body-centered cubic geometry to one N(3), one O(10), one O(14), one O(15), one O(18), one O(6), one O(7), and one O(8) atom. The Zr(11)-N(3) bond length is 2.22 Å. The Zr(11)-O(10) bond length is 2.22 Å. The Zr(11)-O(14) bond length is 2.29 Å. The Zr(11)-O(15) bond length is 2.36 Å. The Zr(11)-O(18) bond length is 2.31 Å. The Zr(11)-O(6) bond length is 2.18 Å. The Zr(11)-O(7) bond length is 2.33 Å. The Zr(11)-O(8) bond length is 2.19 Å. In the twelfth Zr site, Zr(12) is bonded to one N(1), one N(2), one N(6), one O(12), one O(14), one O(17), and one O(8) atom to form distorted ZrN3O4 pentagonal bipyramids that share  a cornercorner with one Zr(3)N3O3 octahedra,  a cornercorner with one Zr(13)N2O5 pentagonal bipyramid,  a cornercorner with one Zr(2)NO6 pentagonal bipyramid,  an edgeedge with one Zr(16)N2O4 octahedra,  an edgeedge with one Zr(14)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(4)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(5)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(7)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(9)N2O5 pentagonal bipyramid, and  an edgeedge with one Zr(10)N3O4 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 52°. The Zr(12)-N(1) bond length is 2.19 Å. The Zr(12)-N(2) bond length is 2.29 Å. The Zr(12)-N(6) bond length is 2.19 Å. The Zr(12)-O(12) bond length is 2.25 Å. The Zr(12)-O(14) bond length is 2.15 Å. The Zr(12)-O(17) bond length is 2.30 Å. The Zr(12)-O(8) bond length is 2.22 Å. In the thirteenth Zr site, Zr(13) is bonded to one N(3), one N(5), one O(1), one O(13), one O(17), one O(18), and one O(2) atom to form distorted ZrN2O5 pentagonal bipyramids that share  a cornercorner with one Zr(3)N3O3 octahedra,  a cornercorner with one Zr(12)N3O4 pentagonal bipyramid,  a cornercorner with one Zr(2)NO6 pentagonal bipyramid,  an edgeedge with one Zr(16)N2O4 octahedra,  an edgeedge with one Zr(1)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(14)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(5)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(8)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(10)N3O4 pentagonal bipyramid, and  an edgeedge with one Zr(15)NO6 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 54°. The Zr(13)-N(3) bond length is 2.14 Å. The Zr(13)-N(5) bond length is 2.23 Å. The Zr(13)-O(1) bond length is 2.32 Å. The Zr(13)-O(13) bond length is 2.18 Å. The Zr(13)-O(17) bond length is 2.24 Å. The Zr(13)-O(18) bond length is 2.25 Å. The Zr(13)-O(2) bond length is 2.17 Å. In the fourteenth Zr site, Zr(14) is bonded to one N(4), one N(7), one O(13), one O(14), one O(15), one O(16), and one O(17) atom to form distorted ZrN2O5 pentagonal bipyramids that share  a cornercorner with one Zr(3)N3O3 octahedra,  a cornercorner with one Zr(1)N2O5 pentagonal bipyramid,  a cornercorner with one Zr(9)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(16)N2O4 octahedra,  an edgeedge with one Zr(13)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(4)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(7)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(8)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(12)N3O4 pentagonal bipyramid, and  an edgeedge with one Zr(15)NO6 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 49°. The Zr(14)-N(4) bond length is 2.16 Å. The Zr(14)-N(7) bond length is 2.24 Å. The Zr(14)-O(13) bond length is 2.16 Å. The Zr(14)-O(14) bond length is 2.18 Å. The Zr(14)-O(15) bond length is 2.30 Å. The Zr(14)-O(16) bond length is 2.24 Å. The Zr(14)-O(17) bond length is 2.22 Å. In the fifteenth Zr site, Zr(15) is bonded to one N(7), one O(15), one O(18), one O(2), one O(20), one O(4), and one O(9) atom to form distorted ZrNO6 pentagonal bipyramids that share  a cornercorner with one Zr(16)N2O4 octahedra,  a cornercorner with one Zr(7)N2O5 pentagonal bipyramid,  a cornercorner with one Zr(10)N3O4 pentagonal bipyramid,  an edgeedge with one Zr(3)N3O3 octahedra,  an edgeedge with one Zr(13)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(14)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(4)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(5)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(9)N2O5 pentagonal bipyramid, and  an edgeedge with one Zr(2)NO6 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 54°. The Zr(15)-N(7) bond length is 2.22 Å. The Zr(15)-O(15) bond length is 2.22 Å. The Zr(15)-O(18) bond length is 2.15 Å. The Zr(15)-O(2) bond length is 2.16 Å. The Zr(15)-O(20) bond length is 2.18 Å. The Zr(15)-O(4) bond length is 2.21 Å. The Zr(15)-O(9) bond length is 2.25 Å. In the sixteenth Zr site, Zr(16) is bonded to one N(6), one N(7), one O(1), one O(17), one O(19), and one O(5) atom to form distorted ZrN2O4 octahedra that share  a cornercorner with one Zr(4)N2O5 pentagonal bipyramid,  a cornercorner with one Zr(5)N2O5 pentagonal bipyramid,  a cornercorner with one Zr(7)N2O5 pentagonal bipyramid,  a cornercorner with one Zr(8)N2O5 pentagonal bipyramid,  a cornercorner with one Zr(10)N3O4 pentagonal bipyramid,  a cornercorner with one Zr(15)NO6 pentagonal bipyramid,  an edgeedge with one Zr(1)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(13)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(14)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(9)N2O5 pentagonal bipyramid,  an edgeedge with one Zr(12)N3O4 pentagonal bipyramid, and  an edgeedge with one Zr(2)NO6 pentagonal bipyramid. The Zr(16)-N(6) bond length is 2.08 Å. The Zr(16)-N(7) bond length is 2.16 Å. The Zr(16)-O(1) bond length is 2.15 Å. The Zr(16)-O(17) bond length is 2.18 Å. The Zr(16)-O(19) bond length is 2.25 Å. The Zr(16)-O(5) bond length is 2.21 Å. There are eight inequivalent N sites. In the first N site, N(1) is bonded to one Zr(12), one Zr(4), one Zr(5), and one Zr(6) atom to form NZr4 tetrahedra that share  a cornercorner with one N(6)Zr4 tetrahedra,  a cornercorner with one N(8)Zr4 tetrahedra,  a cornercorner with one O(1)Zr4 tetrahedra,  a cornercorner with one O(10)Zr4 tetrahedra,  a cornercorner with one O(11)Zr4 tetrahedra,  a cornercorner with one O(13)Zr4 tetrahedra,  a cornercorner with one O(14)Zr4 tetrahedra,  a cornercorner with one O(17)Zr4 tetrahedra,  a cornercorner with one O(20)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,  a cornercorner with one N(7)Zr4 trigonal pyramid,  a cornercorner with one O(3)Zr4 trigonal pyramid,  a cornercorner with one O(4)Zr4 trigonal pyramid,  an edgeedge with one N(2)Zr4 tetrahedra,  an edgeedge with one O(12)Zr4 tetrahedra,  an edgeedge with one O(2)Zr4 tetrahedra,  an edgeedge with one O(8)Zr4 tetrahedra, and  an edgeedge with one O(16)Zr4 trigonal pyramid. In the second N site, N(2) is bonded to one Zr(12), one Zr(3), one Zr(5), and one Zr(9) atom to form NZr4 tetrahedra that share  a cornercorner with one N(4)Zr4 tetrahedra,  a cornercorner with one O(1)Zr4 tetrahedra,  a cornercorner with one O(10)Zr4 tetrahedra,  a cornercorner with one O(11)Zr4 tetrahedra,  a cornercorner with one O(12)Zr4 tetrahedra,  a cornercorner with one O(14)Zr4 tetrahedra,  a cornercorner with one O(15)Zr4 tetrahedra,  a cornercorner with one O(17)Zr4 tetrahedra,  a cornercorner with one O(19)Zr4 tetrahedra,  a cornercorner with one O(2)Zr4 tetrahedra,  a cornercorner with one O(20)Zr4 tetrahedra,  a cornercorner with one O(8)Zr4 tetrahedra,  a cornercorner with one O(9)Zr4 tetrahedra,  a cornercorner with one N(5)Zr4 trigonal pyramid,  a cornercorner with one O(3)Zr4 trigonal pyramid,  an edgeedge with one N(1)Zr4 tetrahedra,  an edgeedge with one N(6)Zr4 tetrahedra,  an edgeedge with one O(7)Zr4 tetrahedra, and  an edgeedge with one O(4)Zr4 trigonal pyramid. In the third N site, N(3) is bonded to one Zr(11), one Zr(13), one Zr(2), and one Zr(8) atom to form NZr4 tetrahedra that share  a cornercorner with one N(4)Zr4 tetrahedra,  a cornercorner with one O(1)Zr4 tetrahedra,  a cornercorner with one O(10)Zr4 tetrahedra,  a cornercorner with one O(11)Zr4 tetrahedra,  a cornercorner with one O(12)Zr4 tetrahedra,  a cornercorner with one O(14)Zr4 tetrahedra,  a cornercorner with one O(15)Zr4 tetrahedra,  a cornercorner with one O(17)Zr4 tetrahedra,  a cornercorner with one O(19)Zr4 tetrahedra,  a cornercorner with one O(2)Zr4 tetrahedra,  a cornercorner with one O(20)Zr4 tetrahedra,  a cornercorner with one O(8)Zr4 tetrahedra,  a cornercorner with one O(9)Zr4 tetrahedra,  a cornercorner with one N(5)Zr4 trigonal pyramid,  a cornercorner with one O(3)Zr4 trigonal pyramid,  an edgeedge with one O(13)Zr4 tetrahedra,  an edgeedge with one O(18)Zr4 tetrahedra,  an edgeedge with one O(5)Zr4 tetrahedra,  an edgeedge with one O(6)Zr4 tetrahedra, and  an edgeedge with one O(7)Zr4 tetrahedra. In the fourth N site, N(4) is bonded to one Zr(14), one Zr(3), one Zr(7), and one Zr(8) atom to form NZr4 tetrahedra that share  a cornercorner with one N(2)Zr4 tetrahedra,  a cornercorner with one N(3)Zr4 tetrahedra,  a cornercorner with one N(8)Zr4 tetrahedra,  a cornercorner with one O(10)Zr4 tetrahedra,  a cornercorner with one O(11)Zr4 tetrahedra,  a cornercorner with one O(12)Zr4 tetrahedra,  a cornercorner with one O(15)Zr4 tetrahedra,  a cornercorner with one O(17)Zr4 tetrahedra,  a cornercorner with one O(7)Zr4 tetrahedra,  a cornercorner with one O(9)Zr4 tetrahedra,  a cornercorner with one N(5)Zr4 trigonal pyramid,  a cornercorner with one N(7)Zr4 trigonal pyramid,  a cornercorner with one O(16)Zr4 trigonal pyramid,  an edgeedge with one O(13)Zr4 tetrahedra,  an edgeedge with one O(14)Zr4 tetrahedra,  an edgeedge with one O(5)Zr4 tetrahedra,  an edgeedge with one O(3)Zr4 trigonal pyramid, and  an edgeedge with one O(4)Zr4 trigonal pyramid. In the fifth N site, N(5) is bonded to one Zr(1), one Zr(10), one Zr(13), and one Zr(3) atom to form NZr4 trigonal pyramids that share  a cornercorner with one N(2)Zr4 tetrahedra,  a cornercorner with one N(3)Zr4 tetrahedra,  a cornercorner with one N(4)Zr4 tetrahedra,  a cornercorner with one N(6)Zr4 tetrahedra,  a cornercorner with one O(10)Zr4 tetrahedra,  a cornercorner with one O(11)Zr4 tetrahedra,  a cornercorner with one O(13)Zr4 tetrahedra,  a cornercorner with one O(17)Zr4 tetrahedra,  a cornercorner with one O(19)Zr4 tetrahedra,  a cornercorner with one O(2)Zr4 tetrahedra,  a cornercorner with one O(6)Zr4 tetrahedra,  a cornercorner with one O(8)Zr4 tetrahedra,  a cornercorner with one O(9)Zr4 tetrahedra,  a cornercorner with one O(16)Zr4 trigonal pyramid,  a cornercorner with one O(4)Zr4 trigonal pyramid,  an edgeedge with one N(8)Zr4 tetrahedra,  an edgeedge with one O(1)Zr4 tetrahedra,  an edgeedge with one O(18)Zr4 tetrahedra, and  an edgeedge with one O(3)Zr4 trigonal pyramid. In the sixth N site, N(6) is bonded to one Zr(10), one Zr(12), one Zr(16), and one Zr(9) atom to form NZr4 tetrahedra that share  a cornercorner with one N(1)Zr4 tetrahedra,  a cornercorner with one N(8)Zr4 tetrahedra,  a cornercorner with one O(1)Zr4 tetrahedra,  a cornercorner with one O(12)Zr4 tetrahedra,  a cornercorner with one O(14)Zr4 tetrahedra,  a cornercorner with one O(15)Zr4 tetrahedra,  a cornercorner with one O(18)Zr4 tetrahedra,  a cornercorner with one O(20)Zr4 tetrahedra,  a cornercorner with one O(5)Zr4 tetrahedra,  a cornercorner with one O(7)Zr4 tetrahedra,  a cornercorner with one N(5)Zr4 trigonal pyramid,  a cornercorner with one N(7)Zr4 trigonal pyramid,  a cornercorner with one O(3)Zr4 trigonal pyramid,  an edgeedge with one N(2)Zr4 tetrahedra,  an edgeedge with one O(11)Zr4 tetrahedra,  an edgeedge with one O(17)Zr4 tetrahedra,  an edgeedge with one O(19)Zr4 tetrahedra, and  an edgeedge with one O(8)Zr4 tetrahedra. In the seventh N site, N(7) is bonded to one Zr(14), one Zr(15), one Zr(16), and one Zr(4) atom to form NZr4 trigonal pyramids that share  a cornercorner with one N(1)Zr4 tetrahedra,  a cornercorner with one N(4)Zr4 tetrahedra,  a cornercorner with one N(6)Zr4 tetrahedra,  a cornercorner with one O(1)Zr4 tetrahedra,  a cornercorner with one O(13)Zr4 tetrahedra,  a cornercorner with one O(14)Zr4 tetrahedra,  a cornercorner with one O(18)Zr4 tetrahedra,  a cornercorner with one O(19)Zr4 tetrahedra,  a cornercorner with one O(2)Zr4 tetrahedra,  a cornercorner with one O(20)Zr4 tetrahedra,  a cornercorner with one O(5)Zr4 tetrahedra,  a cornercorner with one O(6)Zr4 tetrahedra,  a cornercorner with one O(8)Zr4 tetrahedra,  a cornercorner with one O(3)Zr4 trigonal pyramid,  a cornercorner with one O(4)Zr4 trigonal pyramid,  an edgeedge with one O(15)Zr4 tetrahedra,  an edgeedge with one O(17)Zr4 tetrahedra,  an edgeedge with one O(9)Zr4 tetrahedra, and  an edgeedge with one O(16)Zr4 trigonal pyramid. In the eighth N site, N(8) is bonded to one Zr(1), one Zr(10), one Zr(6), and one Zr(7) atom to form NZr4 tetrahedra that share  a cornercorner with one N(1)Zr4 tetrahedra,  a cornercorner with one N(4)Zr4 tetrahedra,  a cornercorner with one N(6)Zr4 tetrahedra,  a cornercorner with one O(1)Zr4 tetrahedra,  a cornercorner with one O(13)Zr4 tetrahedra,  a cornercorner with one O(14)Zr4 tetrahedra,  a cornercorner with one O(18)Zr4 tetrahedra,  a cornercorner with one O(19)Zr4 tetrahedra,  a cornercorner with one O(2)Zr4 tetrahedra,  a cornercorner with one O(20)Zr4 tetrahedra,  a cornercorner with one O(5)Zr4 tetrahedra,  a cornercorner with one O(6)Zr4 tetrahedra,  a cornercorner with one O(8)Zr4 tetrahedra,  a cornercorner with one O(3)Zr4 trigonal pyramid,  a cornercorner with one O(4)Zr4 trigonal pyramid,  an edgeedge with one O(10)Zr4 tetrahedra,  an edgeedge with one O(11)Zr4 tetrahedra,  an edgeedge with one O(12)Zr4 tetrahedra,  an edgeedge with one N(5)Zr4 trigonal pyramid, and  an edgeedge with one O(16)Zr4 trigonal pyramid. There are twenty inequivalent O sites. In the first O site, O(1) is bonded to one Zr(1), one Zr(13), one Zr(16), and one Zr(5) atom to form OZr4 tetrahedra that share  a cornercorner with one N(1)Zr4 tetrahedra,  a cornercorner with one N(2)Zr4 tetrahedra,  a cornercorner with one N(3)Zr4 tetrahedra,  a cornercorner with one N(6)Zr4 tetrahedra,  a cornercorner with one N(8)Zr4 tetrahedra,  a cornercorner with one O(13)Zr4 tetrahedra,  a cornercorner with one O(18)Zr4 tetrahedra,  a cornercorner with one O(5)Zr4 tetrahedra,  a cornercorner with one O(6)Zr4 tetrahedra,  a cornercorner with one O(7)Zr4 tetrahedra,  a cornercorner with one N(7)Zr4 trigonal pyramid,  a cornercorner with one O(16)Zr4 trigonal pyramid,  a cornercorner with one O(4)Zr4 trigonal pyramid,  an edgeedge with one O(10)Zr4 tetrahedra,  an edgeedge with one O(17)Zr4 tetrahedra,  an edgeedge with one O(19)Zr4 tetrahedra,  an edgeedge with one O(2)Zr4 tetrahedra, and  an edgeedge with one N(5)Zr4 trigonal pyramid. In the second O site, O(2) is bonded to one Zr(13), one Zr(15), one Zr(5), and one Zr(6) atom to form OZr4 tetrahedra that share  a cornercorner with one N(2)Zr4 tetrahedra,  a cornercorner with one N(3)Zr4 tetrahedra,  a cornercorner with one N(8)Zr4 tetrahedra,  a cornercorner with one O(10)Zr4 tetrahedra,  a cornercorner with one O(11)Zr4 tetrahedra,  a cornercorner with one O(12)Zr4 tetrahedra,  a cornercorner with one O(15)Zr4 tetrahedra,  a cornercorner with one O(17)Zr4 tetrahedra,  a cornercorner with one O(7)Zr4 tetrahedra,  a cornercorner with one O(9)Zr4 tetrahedra,  a cornercorner with one N(5)Zr4 trigonal pyramid,  a cornercorner with one N(7)Zr4 trigonal pyramid,  a cornercorner with one O(16)Zr4 trigonal pyramid,  an edgeedge with one N(1)Zr4 tetrahedra,  an edgeedge with one O(1)Zr4 tetrahedra,  an edgeedge with one O(13)Zr4 tetrahedra,  an edgeedge with one O(18)Zr4 tetrahedra,  an edgeedge with one O(20)Zr4 tetrahedra, and  an edgeedge with one O(4)Zr4 trigonal pyramid. In the third O site, O(3) is bonded to one Zr(10), one Zr(3), one Zr(4), and one Zr(8) atom to form distorted OZr4 trigonal pyramids that share  a cornercorner with one N(1)Zr4 tetrahedra,  a cornercorner with one N(2)Zr4 tetrahedra,  a cornercorner with one N(3)Zr4 tetrahedra,  a cornercorner with one N(6)Zr4 tetrahedra,  a cornercorner with one N(8)Zr4 tetrahedra,  a cornercorner with one O(13)Zr4 tetrahedra,  a cornercorner with one O(18)Zr4 tetrahedra,  a cornercorner with one O(5)Zr4 tetrahedra,  a cornercorner with one O(6)Zr4 tetrahedra,  a cornercorner with one O(7)Zr4 tetrahedra,  a cornercorner with one N(7)Zr4 trigonal pyramid,  a cornercorner with one O(16)Zr4 trigonal pyramid,  a cornercorner with one O(4)Zr4 trigonal pyramid,  an edgeedge with one N(4)Zr4 tetrahedra,  an edgeedge with one O(11)Zr4 tetrahedra,  an edgeedge with one O(8)Zr4 tetrahedra,  an edgeedge with one O(9)Zr4 tetrahedra, and  an edgeedge with one N(5)Zr4 trigonal pyramid. In the fourth O site, O(4) is bonded to one Zr(15), one Zr(3), one Zr(5), and one Zr(7) atom to form distorted OZr4 trigonal pyramids that share  a cornercorner with one N(1)Zr4 tetrahedra,  a cornercorner with one N(8)Zr4 tetrahedra,  a cornercorner with one O(1)Zr4 tetrahedra,  a cornercorner with one O(12)Zr4 tetrahedra,  a cornercorner with one O(14)Zr4 tetrahedra,  a cornercorner with one O(15)Zr4 tetrahedra,  a cornercorner with one O(18)Zr4 tetrahedra,  a cornercorner with one O(20)Zr4 tetrahedra,  a cornercorner with one O(5)Zr4 tetrahedra,  a cornercorner with one O(7)Zr4 tetrahedra,  a cornercorner with one N(5)Zr4 trigonal pyramid,  a cornercorner with one N(7)Zr4 trigonal pyramid,  a cornercorner with one O(3)Zr4 trigonal pyramid,  an edgeedge with one N(2)Zr4 tetrahedra,  an edgeedge with one N(4)Zr4 tetrahedra,  an edgeedge with one O(10)Zr4 tetrahedra,  an edgeedge with one O(2)Zr4 tetrahedra, and  an edgeedge with one O(9)Zr4 tetrahedra. In the fifth O site, O(5) is bonded to one Zr(16), one Zr(2), one Zr(7), and one Zr(8) atom to form distorted OZr4 tetrahedra that share  a cornercorner with one N(6)Zr4 tetrahedra,  a cornercorner with one N(8)Zr4 tetrahedra,  a cornercorner with one O(1)Zr4 tetrahedra,  a cornercorner with one O(10)Zr4 tetrahedra,  a cornercorner with one O(11)Zr4 tetrahedra,  a cornercorner with one O(13)Zr4 tetrahedra,  a cornercorner with one O(14)Zr4 tetrahedra,  a cornercorner with one O(17)Zr4 tetrahedra,  a cornercorner with one O(20)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,  a cornercorner with one N(7)Zr4 trigonal pyramid,  a cornercorner with one O(3)Zr4 trigonal pyramid,  a cornercorner with one O(4)Zr4 trigonal pyramid,  an edgeedge with one N(3)Zr4 tetrahedra,  an edgeedge with one N(4)Zr4 tetrahedra,  an edgeedge with one O(12)Zr4 tetrahedra, and  an edgeedge with one O(19)Zr4 tetrahedra. In the sixth O site, O(6) is bonded to one Zr(1), one Zr(11), one Zr(2), and one Zr(4) atom to form OZr4 tetrahedra that share  a cornercorner with one N(1)Zr4 tetrahedra,  a cornercorner with one N(8)Zr4 tetrahedra,  a cornercorner with one O(1)Zr4 tetrahedra,  a cornercorner with one O(12)Zr4 tetrahedra,  a cornercorner with one O(14)Zr4 tetrahedra,  a cornercorner with one O(15)Zr4 tetrahedra,  a cornercorner with one O(18)Zr4 tetrahedra,  a cornercorner with one O(20)Zr4 tetrahedra,  a cornercorner with one O(5)Zr4 tetrahedra,  a cornercorner with one O(7)Zr4 tetrahedra,  a cornercorner with one N(5)Zr4 trigonal pyramid,  a cornercorner with one N(7)Zr4 trigonal pyramid,  a cornercorner with one O(3)Zr4 trigonal pyramid,  an edgeedge with one N(3)Zr4 tetrahedra,  an edgeedge with one O(10)Zr4 tetrahedra,  an edgeedge with one O(19)Zr4 tetrahedra,  an edgeedge with one O(8)Zr4 tetrahedra,  an edgeedge with one O(9)Zr4 tetrahedra, and  an edgeedge with one O(16)Zr4 trigonal pyramid. In the seventh O site, O(7) is bonded to one Zr(11), one Zr(5), one Zr(8), and one Zr(9) atom to form OZr4 tetrahedra that share  a cornercorner with one N(1)Zr4 tetrahedra,  a cornercorner with one N(4)Zr4 tetrahedra,  a cornercorner with one N(6)Zr4 tetrahedra,  a cornercorner with one O(1)Zr4 tetrahedra,  a cornercorner with one O(13)Zr4 tetrahedra,  a cornercorner with one O(14)Zr4 tetrahedra,  a cornercorner with one O(18)Zr4 tetrahedra,  a cornercorner with one O(19)Zr4 tetrahedra,  a cornercorner with one O(2)Zr4 tetrahedra,  a cornercorner with one O(20)Zr4 tetrahedra,  a cornercorner with one O(5)Zr4 tetrahedra,  a cornercorner with one O(6)Zr4 tetrahedra,  a cornercorner with one O(8)Zr4 tetrahedra,  a cornercorner with one O(3)Zr4 trigonal pyramid,  a cornercorner with one O(4)Zr4 trigonal pyramid,  an edgeedge with one N(2)Zr4 tetrahedra,  an edgeedge with one N(3)Zr4 tetrahedra,  an edgeedge with one O(10)Zr4 tetrahedra,  an edgeedge with one O(11)Zr4 tetrahedra, and  an edgeedge with one O(15)Zr4 tetrahedra. In the eighth O site, O(8) is bonded to one Zr(10), one Zr(11), one Zr(12), and one Zr(4) atom to form OZr4 tetrahedra that share  a cornercorner with one N(2)Zr4 tetrahedra,  a cornercorner with one N(3)Zr4 tetrahedra,  a cornercorner with one N(8)Zr4 tetrahedra,  a cornercorner with one O(10)Zr4 tetrahedra,  a cornercorner with one O(11)Zr4 tetrahedra,  a cornercorner with one O(12)Zr4 tetrahedra,  a cornercorner with one O(15)Zr4 tetrahedra,  a cornercorner with one O(17)Zr4 tetrahedra,  a cornercorner with one O(7)Zr4 tetrahedra,  a cornercorner with one O(9)Zr4 tetrahedra,  a cornercorner with one N(5)Zr4 trigonal pyramid,  a cornercorner with one N(7)Zr4 trigonal pyramid,  a cornercorner with one O(16)Zr4 trigonal pyramid,  an edgeedge with one N(1)Zr4 tetrahedra,  an edgeedge with one N(6)Zr4 tetrahedra,  an edgeedge with one O(14)Zr4 tetrahedra,  an edgeedge with one O(18)Zr4 tetrahedra,  an edgeedge with one O(6)Zr4 tetrahedra, and  an edgeedge with one O(3)Zr4 trigonal pyramid. In the ninth O site, O(9) is bonded to one Zr(15), one Zr(2), one Zr(3), and one Zr(4) atom to form OZr4 tetrahedra that share  a cornercorner with one N(1)Zr4 tetrahedra,  a cornercorner with one N(2)Zr4 tetrahedra,  a cornercorner with one N(3)Zr4 tetrahedra,  a cornercorner with one N(4)Zr4 tetrahedra,  a cornercorner with one O(12)Zr4 tetrahedra,  a cornercorner with one O(15)Zr4 tetrahedra,  a cornercorner with one O(18)Zr4 tetrahedra,  a cornercorner with one O(19)Zr4 tetrahedra,  a cornercorner with one O(2)Zr4 tetrahedra,  a cornercorner with one O(5)Zr4 tetrahedra,  a cornercorner with one O(8)Zr4 tetrahedra,  a cornercorner with one N(5)Zr4 trigonal pyramid,  a cornercorner with one O(16)Zr4 trigonal pyramid,  an edgeedge with one O(20)Zr4 tetrahedra,  an edgeedge with one O(6)Zr4 tetrahedra,  an edgeedge with one N(7)Zr4 trigonal pyramid,  an edgeedge with one O(3)Zr4 trigonal pyramid, and  an edgeedge with one O(4)Zr4 trigonal pyramid. In the tenth O site, O(10) is bonded to one Zr(1), one Zr(11), one Zr(5), and one Zr(7) atom to form OZr4 tetrahedra that share  a cornercorner with one N(1)Zr4 tetrahedra,  a cornercorner with one N(2)Zr4 tetrahedra,  a cornercorner with one N(3)Zr4 tetrahedra,  a cornercorner with one N(4)Zr4 tetrahedra,  a cornercorner with one O(12)Zr4 tetrahedra,  a cornercorner with one O(15)Zr4 tetrahedra,  a cornercorner with one O(18)Zr4 tetrahedra,  a cornercorner with one O(19)Zr4 tetrahedra,  a cornercorner with one O(2)Zr4 tetrahedra,  a cornercorner with one O(5)Zr4 tetrahedra,  a cornercorner with one O(8)Zr4 tetrahedra,  a cornercorner with one N(5)Zr4 trigonal pyramid,  a cornercorner with one O(16)Zr4 trigonal pyramid,  an edgeedge with one N(8)Zr4 tetrahedra,  an edgeedge with one O(1)Zr4 tetrahedra,  an edgeedge with one O(14)Zr4 tetrahedra,  an edgeedge with one O(6)Zr4 tetrahedra,  an edgeedge with one O(7)Zr4 tetrahedra, and  an edgeedge with one O(4)Zr4 trigonal pyramid. In the eleventh O site, O(11) is bonded to one Zr(10), one Zr(6), one Zr(8), and one Zr(9) atom to form OZr4 tetrahedra that share  a cornercorner with one N(1)Zr4 tetrahedra,  a cornercorner with one N(2)Zr4 tetrahedra,  a cornercorner with one N(3)Zr4 tetrahedra,  a cornercorner with one N(4)Zr4 tetrahedra,  a cornercorner with one O(12)Zr4 tetrahedra,  a cornercorner with one O(15)Zr4 tetrahedra,  a cornercorner with one O(18)Zr4 tetrahedra,  a cornercorner with one O(19)Zr4 tetrahedra,  a cornercorner with one O(2)Zr4 tetrahedra,  a cornercorner with one O(5)Zr4 tetrahedra,  a cornercorner with one O(8)Zr4 tetrahedra,  a cornercorner with one N(5)Zr4 trigonal pyramid,  a cornercorner with one O(16)Zr4 trigonal pyramid,  an edgeedge with one N(6)Zr4 tetrahedra,  an edgeedge with one N(8)Zr4 tetrahedra,  an edgeedge with one O(13)Zr4 tetrahedra,  an edgeedge with one O(20)Zr4 tetrahedra,  an edgeedge with one O(7)Zr4 tetrahedra, and  an edgeedge with one O(3)Zr4 trigonal pyramid. In the twelfth O site, O(12) is bonded to one Zr(12), one Zr(2), one Zr(6), and one Zr(7) atom to form distorted OZr4 tetrahedra that share  a cornercorner with one N(2)Zr4 tetrahedra,  a cornercorner with one N(3)Zr4 tetrahedra,  a cornercorner with one N(4)Zr4 tetrahedra,  a cornercorner with one N(6)Zr4 tetrahedra,  a cornercorner with one O(10)Zr4 tetrahedra,  a cornercorner with one O(11)Zr4 tetrahedra,  a cornercorner with one O(13)Zr4 tetrahedra,  a cornercorner with one O(17)Zr4 tetrahedra,  a cornercorner with one O(19)Zr4 tetrahedra,  a cornercorner with one O(2)Zr4 tetrahedra,  a cornercorner with one O(6)Zr4 tetrahedra,  a cornercorner with one O(8)Zr4 tetrahedra,  a cornercorner with one O(9)Zr4 tetrahedra,  a cornercorner with one O(16)Zr4 trigonal pyramid,  a cornercorner with one O(4)Zr4 trigonal pyramid,  an edgeedge with one N(1)Zr4 tetrahedra,  an edgeedge with one N(8)Zr4 tetrahedra,  an edgeedge with one O(14)Zr4 tetrahedra,  an edgeedge with one O(20)Zr4 tetrahedra, and  an edgeedge with one O(5)Zr4 tetrahedra. In the thirteenth O site, O(13) is bonded to one Zr(13), one Zr(14), one Zr(6), and one Zr(8) atom to form OZr4 tetrahedra that share  a cornercorner with one N(1)Zr4 tetrahedra,  a cornercorner with one N(8)Zr4 tetrahedra,  a cornercorner with one O(1)Zr4 tetrahedra,  a cornercorner with one O(12)Zr4 tetrahedra,  a cornercorner with one O(14)Zr4 tetrahedra,  a cornercorner with one O(15)Zr4 tetrahedra,  a cornercorner with one O(18)Zr4 tetrahedra,  a cornercorner with one O(20)Zr4 tetrahedra,  a cornercorner with one O(5)Zr4 tetrahedra,  a cornercorner with one O(7)Zr4 tetrahedra,  a cornercorner with one N(5)Zr4 trigonal pyramid,  a cornercorner with one N(7)Zr4 trigonal pyramid,  a cornercorner with one O(3)Zr4 trigonal pyramid,  an edgeedge with one N(3)Zr4 tetrahedra,  an edgeedge with one N(4)Zr4 tetrahedra,  an edgeedge with one O(11)Zr4 tetrahedra,  an edgeedge with one O(17)Zr4 tetrahedra,  an edgeedge with one O(2)Zr4 tetrahedra, and  an edgeedge with one O(16)Zr4 trigonal pyramid. In the fourteenth O site, O(14) is bonded to one Zr(11), one Zr(12), one Zr(14), and one Zr(7) atom to form OZr4 tetrahedra that share  a cornercorner with one N(1)Zr4 tetrahedra,  a cornercorner with one N(2)Zr4 tetrahedra,  a cornercorner with one N(3)Zr4 tetrahedra,  a cornercorner with one N(6)Zr4 tetrahedra,  a cornercorner with one N(8)Zr4 tetrahedra,  a cornercorner with one O(13)Zr4 tetrahedra,  a cornercorner with one O(18)Zr4 tetrahedra,  a cornercorner with one O(5)Zr4 tetrahedra,  a cornercorner with one O(6)Zr4 tetrahedra,  a cornercorner with one O(7)Zr4 tetrahedra,  a cornercorner with one N(7)Zr4 trigonal pyramid,  a cornercorner with one O(16)Zr4 trigonal pyramid,  a cornercorner with one O(4)Zr4 trigonal pyramid,  an edgeedge with one N(4)Zr4 tetrahedra,  an edgeedge with one O(10)Zr4 tetrahedra,  an edgeedge with one O(12)Zr4 tetrahedra,  an edgeedge with one O(15)Zr4 tetrahedra,  an edgeedge with one O(17)Zr4 tetrahedra, and  an edgeedge with one O(8)Zr4 tetrahedra. In the fifteenth O site, O(15) is bonded to one Zr(11), one Zr(14), one Zr(15), and one Zr(9) atom to form OZr4 tetrahedra that share  a cornercorner with one N(2)Zr4 tetrahedra,  a cornercorner with one N(3)Zr4 tetrahedra,  a cornercorner with one N(4)Zr4 tetrahedra,  a cornercorner with one N(6)Zr4 tetrahedra,  a cornercorner with one O(10)Zr4 tetrahedra,  a cornercorner with one O(11)Zr4 tetrahedra,  a cornercorner with one O(13)Zr4 tetrahedra,  a cornercorner with one O(17)Zr4 tetrahedra,  a cornercorner with one O(19)Zr4 tetrahedra,  a cornercorner with one O(2)Zr4 tetrahedra,  a cornercorner with one O(6)Zr4 tetrahedra,  a cornercorner with one O(8)Zr4 tetrahedra,  a cornercorner with one O(9)Zr4 tetrahedra,  a cornercorner with one O(16)Zr4 trigonal pyramid,  a cornercorner with one O(4)Zr4 trigonal pyramid,  an edgeedge with one O(14)Zr4 tetrahedra,  an edgeedge with one O(18)Zr4 tetrahedra,  an edgeedge with one O(20)Zr4 tetrahedra,  an edgeedge with one O(7)Zr4 tetrahedra, and  an edgeedge with one N(7)Zr4 trigonal pyramid. In the sixteenth O site, O(16) is bonded to one Zr(1), one Zr(14), one Zr(4), and one Zr(6) atom to form distorted OZr4 trigonal pyramids that share  a cornercorner with one N(4)Zr4 tetrahedra,  a cornercorner with one O(1)Zr4 tetrahedra,  a cornercorner with one O(10)Zr4 tetrahedra,  a cornercorner with one O(11)Zr4 tetrahedra,  a cornercorner with one O(12)Zr4 tetrahedra,  a cornercorner with one O(14)Zr4 tetrahedra,  a cornercorner with one O(15)Zr4 tetrahedra,  a cornercorner with one O(17)Zr4 tetrahedra,  a cornercorner with one O(19)Zr4 tetrahedra,  a cornercorner with one O(2)Zr4 tetrahedra,  a cornercorner with one O(20)Zr4 tetrahedra,  a cornercorner with one O(8)Zr4 tetrahedra,  a cornercorner with one O(9)Zr4 tetrahedra,  a cornercorner with one N(5)Zr4 trigonal pyramid,  a cornercorner with one O(3)Zr4 trigonal pyramid,  an edgeedge with one N(1)Zr4 tetrahedra,  an edgeedge with one N(8)Zr4 tetrahedra,  an edgeedge with one O(13)Zr4 tetrahedra,  an edgeedge with one O(6)Zr4 tetrahedra, and  an edgeedge with one N(7)Zr4 trigonal pyramid. In the seventeenth O site, O(17) is bonded to one Zr(12), one Zr(13), one Zr(14), and one Zr(16) atom to form OZr4 tetrahedra that share  a cornercorner with one N(1)Zr4 tetrahedra,  a cornercorner with one N(2)Zr4 tetrahedra,  a cornercorner with one N(3)Zr4 tetrahedra,  a cornercorner with one N(4)Zr4 tetrahedra,  a cornercorner with one O(12)Zr4 tetrahedra,  a cornercorner with one O(15)Zr4 tetrahedra,  a cornercorner with one O(18)Zr4 tetrahedra,  a cornercorner with one O(19)Zr4 tetrahedra,  a cornercorner with one O(2)Zr4 tetrahedra,  a cornercorner with one O(5)Zr4 tetrahedra,  a cornercorner with one O(8)Zr4 tetrahedra,  a cornercorner with one N(5)Zr4 trigonal pyramid,  a cornercorner with one O(16)Zr4 trigonal pyramid,  an edgeedge with one N(6)Zr4 tetrahedra,  an edgeedge with one O(1)Zr4 tetrahedra,  an edgeedge with one O(13)Zr4 tetrahedra,  an edgeedge with one O(14)Zr4 tetrahedra, and  an edgeedge with one N(7)Zr4 trigonal pyramid. In the eighteenth O site, O(18) is bonded to one Zr(10), one Zr(11), one Zr(13), and one Zr(15) atom to form OZr4 tetrahedra that share  a cornercorner with one N(6)Zr4 tetrahedra,  a cornercorner with one N(8)Zr4 tetrahedra,  a cornercorner with one O(1)Zr4 tetrahedra,  a cornercorner with one O(10)Zr4 tetrahedra,  a cornercorner with one O(11)Zr4 tetrahedra,  a cornercorner with one O(13)Zr4 tetrahedra,  a cornercorner with one O(14)Zr4 tetrahedra,  a cornercorner with one O(17)Zr4 tetrahedra,  a cornercorner with one O(20)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,  a cornercorner with one N(7)Zr4 trigonal pyramid,  a cornercorner with one O(3)Zr4 trigonal pyramid,  a cornercorner with one O(4)Zr4 trigonal pyramid,  an edgeedge with one N(3)Zr4 tetrahedra,  an edgeedge with one O(15)Zr4 tetrahedra,  an edgeedge with one O(2)Zr4 tetrahedra,  an edgeedge with one O(8)Zr4 tetrahedra, and  an edgeedge with one N(5)Zr4 trigonal pyramid. In the nineteenth O site, O(19) is bonded to one Zr(1), one Zr(16), one Zr(2), and one Zr(9) atom to form OZr4 tetrahedra that share  a cornercorner with one N(2)Zr4 tetrahedra,  a cornercorner with one N(3)Zr4 tetrahedra,  a cornercorner with one N(8)Zr4 tetrahedra,  a cornercorner with one O(10)Zr4 tetrahedra,  a cornercorner with one O(11)Zr4 tetrahedra,  a cornercorner with one O(12)Zr4 tetrahedra,  a cornercorner with one O(15)Zr4 tetrahedra,  a cornercorner with one O(17)Zr4 tetrahedra,  a cornercorner with one O(7)Zr4 tetrahedra,  a cornercorner with one O(9)Zr4 tetrahedra,  a cornercorner with one N(5)Zr4 trigonal pyramid,  a cornercorner with one N(7)Zr4 trigonal pyramid,  a cornercorner with one O(16)Zr4 trigonal pyramid,  an edgeedge with one N(6)Zr4 tetrahedra,  an edgeedge with one O(1)Zr4 tetrahedra,  an edgeedge with one O(20)Zr4 tetrahedra,  an edgeedge with one O(5)Zr4 tetrahedra, and  an edgeedge with one O(6)Zr4 tetrahedra. In the twentieth O site, O(20) is bonded to one Zr(15), one Zr(2), one Zr(6), and one Zr(9) atom to form OZr4 tetrahedra that share  a cornercorner with one N(1)Zr4 tetrahedra,  a cornercorner with one N(2)Zr4 tetrahedra,  a cornercorner with one N(3)Zr4 tetrahedra,  a cornercorner with one N(6)Zr4 tetrahedra,  a cornercorner with one N(8)Zr4 tetrahedra,  a cornercorner with one O(13)Zr4 tetrahedra,  a cornercorner with one O(18)Zr4 tetrahedra,  a cornercorner with one O(5)Zr4 tetrahedra,  a cornercorner with one O(6)Zr4 tetrahedra,  a cornercorner with one O(7)Zr4 tetrahedra,  a cornercorner with one N(7)Zr4 trigonal pyramid,  a cornercorner with one O(16)Zr4 trigonal pyramid,  a cornercorner with one O(4)Zr4 trigonal pyramid,  an edgeedge with one O(11)Zr4 tetrahedra,  an edgeedge with one O(12)Zr4 tetrahedra,  an edgeedge with one O(15)Zr4 tetrahedra,  an edgeedge with one O(19)Zr4 tetrahedra,  an edgeedge with one O(2)Zr4 tetrahedra, and  an edgeedge with one O(9)Zr4 tetrahedra.