The material structure described by Hf2ON2 is Spinel-like structured and crystallizes in the triclinic P1 space group. There are sixteen inequivalent Hf sites. In the first Hf site, Hf(1) is bonded to one N(1), one N(16), one N(2), one N(5), one O(2), and one O(3) atom to form HfN4O2 octahedra that share  a cornercorner with one Hf(4)N2O4 octahedra,  a cornercorner with one Hf(11)N4O2 octahedra,  a cornercorner with one Hf(15)N4O2 octahedra,  a cornercorner with one Hf(7)N4O2 octahedra,  a cornercorner with one Hf(16)N5O octahedra,  a cornercorner with one Hf(2)N3O3 pentagonal pyramid,  an edgeedge with one Hf(8)N3O3 octahedra,  an edgeedge with one Hf(3)N4O2 octahedra,  an edgeedge with one Hf(13)N5O octahedra,  an edgeedge with one Hf(6)N5O octahedra,  an edgeedge with one Hf(14)N6 octahedra, and  an edgeedge with one Hf(5)N3O3 pentagonal pyramid. The corner-sharing octahedral tilt angles range from 52-59°. In the second Hf site, Hf(2) is bonded to one N(15), one N(4), one N(6), one O(1), one O(3), and one O(8) atom to form distorted HfN3O3 pentagonal pyramids that share  a cornercorner with one Hf(4)N2O4 octahedra,  a cornercorner with one Hf(10)N3O3 octahedra,  a cornercorner with one Hf(8)N3O3 octahedra,  a cornercorner with one Hf(1)N4O2 octahedra,  a cornercorner with one Hf(7)N4O2 octahedra,  a cornercorner with one Hf(14)N6 octahedra,  an edgeedge with one Hf(11)N4O2 octahedra,  an edgeedge with one Hf(15)N4O2 octahedra,  an edgeedge with one Hf(3)N4O2 octahedra,  an edgeedge with one Hf(9)N4O2 octahedra,  an edgeedge with one Hf(12)N5O octahedra, and  an edgeedge with one Hf(6)N5O octahedra. The corner-sharing octahedral tilt angles range from 51-53°. In the third Hf site, Hf(3) is bonded to one N(14), one N(2), one N(3), one N(6), one O(3), and one O(6) atom to form distorted HfN4O2 octahedra that share  a cornercorner with one Hf(10)N3O3 octahedra,  a cornercorner with one Hf(11)N4O2 octahedra,  a cornercorner with one Hf(12)N5O octahedra,  a cornercorner with one Hf(13)N5O octahedra,  a cornercorner with one Hf(16)N5O octahedra,  a cornercorner with one Hf(6)N5O octahedra,  an edgeedge with one Hf(8)N3O3 octahedra,  an edgeedge with one Hf(1)N4O2 octahedra,  an edgeedge with one Hf(7)N4O2 octahedra,  an edgeedge with one Hf(9)N4O2 octahedra,  an edgeedge with one Hf(2)N3O3 pentagonal pyramid, and  an edgeedge with one Hf(5)N3O3 pentagonal pyramid. The corner-sharing octahedral tilt angles range from 54-56°. In the fourth Hf site, Hf(4) is bonded to one N(7), one N(9), one O(2), one O(5), one O(7), and one O(8) atom to form distorted HfN2O4 octahedra that share  a cornercorner with one Hf(8)N3O3 octahedra,  a cornercorner with one Hf(1)N4O2 octahedra,  a cornercorner with one Hf(7)N4O2 octahedra,  a cornercorner with one Hf(9)N4O2 octahedra,  a cornercorner with one Hf(2)N3O3 pentagonal pyramid,  a cornercorner with one Hf(5)N3O3 pentagonal pyramid,  an edgeedge with one Hf(10)N3O3 octahedra,  an edgeedge with one Hf(11)N4O2 octahedra,  an edgeedge with one Hf(12)N5O octahedra,  an edgeedge with one Hf(13)N5O octahedra,  an edgeedge with one Hf(16)N5O octahedra, and  an edgeedge with one Hf(6)N5O octahedra. The corner-sharing octahedral tilt angles range from 51-53°. In the fifth Hf site, Hf(5) is bonded to one N(10), one N(11), one N(2), one O(2), one O(4), and one O(6) atom to form distorted HfN3O3 pentagonal pyramids that share  a cornercorner with one Hf(4)N2O4 octahedra,  a cornercorner with one Hf(8)N3O3 octahedra,  a cornercorner with one Hf(7)N4O2 octahedra,  a cornercorner with one Hf(9)N4O2 octahedra,  a cornercorner with one Hf(12)N5O octahedra,  a cornercorner with one Hf(14)N6 octahedra,  an edgeedge with one Hf(10)N3O3 octahedra,  an edgeedge with one Hf(1)N4O2 octahedra,  an edgeedge with one Hf(11)N4O2 octahedra,  an edgeedge with one Hf(15)N4O2 octahedra,  an edgeedge with one Hf(3)N4O2 octahedra, and  an edgeedge with one Hf(6)N5O octahedra. The corner-sharing octahedral tilt angles range from 48-56°. In the sixth Hf site, Hf(6) is bonded to one N(10), one N(15), one N(16), one N(6), one N(9), and one O(2) atom to form distorted HfN5O octahedra that share  a cornercorner with one Hf(10)N3O3 octahedra,  a cornercorner with one Hf(15)N4O2 octahedra,  a cornercorner with one Hf(3)N4O2 octahedra,  a cornercorner with one Hf(9)N4O2 octahedra,  a cornercorner with one Hf(13)N5O octahedra,  a cornercorner with one Hf(16)N5O octahedra,  an edgeedge with one Hf(4)N2O4 octahedra,  an edgeedge with one Hf(1)N4O2 octahedra,  an edgeedge with one Hf(12)N5O octahedra,  an edgeedge with one Hf(14)N6 octahedra,  an edgeedge with one Hf(2)N3O3 pentagonal pyramid, and  an edgeedge with one Hf(5)N3O3 pentagonal pyramid. The corner-sharing octahedral tilt angles range from 53-59°. In the seventh Hf site, Hf(7) is bonded to one N(3), one N(5), one N(7), one N(8), one O(1), and one O(6) atom to form distorted HfN4O2 octahedra that share  a cornercorner with one Hf(4)N2O4 octahedra,  a cornercorner with one Hf(1)N4O2 octahedra,  a cornercorner with one Hf(12)N5O octahedra,  a cornercorner with one Hf(14)N6 octahedra,  a cornercorner with one Hf(2)N3O3 pentagonal pyramid,  a cornercorner with one Hf(5)N3O3 pentagonal pyramid,  an edgeedge with one Hf(10)N3O3 octahedra,  an edgeedge with one Hf(15)N4O2 octahedra,  an edgeedge with one Hf(3)N4O2 octahedra,  an edgeedge with one Hf(9)N4O2 octahedra,  an edgeedge with one Hf(13)N5O octahedra, and  an edgeedge with one Hf(16)N5O octahedra. The corner-sharing octahedral tilt angles range from 51-56°. In the eighth Hf site, Hf(8) is bonded to one N(1), one N(13), one N(14), one O(3), one O(4), and one O(5) atom to form distorted HfN3O3 octahedra that share  a cornercorner with one Hf(4)N2O4 octahedra,  a cornercorner with one Hf(10)N3O3 octahedra,  a cornercorner with one Hf(9)N4O2 octahedra,  a cornercorner with one Hf(14)N6 octahedra,  a cornercorner with one Hf(2)N3O3 pentagonal pyramid,  a cornercorner with one Hf(5)N3O3 pentagonal pyramid,  an edgeedge with one Hf(1)N4O2 octahedra,  an edgeedge with one Hf(15)N4O2 octahedra,  an edgeedge with one Hf(3)N4O2 octahedra,  an edgeedge with one Hf(12)N5O octahedra,  an edgeedge with one Hf(13)N5O octahedra, and  an edgeedge with one Hf(16)N5O octahedra. The corner-sharing octahedral tilt angles range from 50-55°. In the ninth Hf site, Hf(9) is bonded to one N(12), one N(13), one N(6), one N(8), one O(6), and one O(8) atom to form HfN4O2 octahedra that share  a cornercorner with one Hf(4)N2O4 octahedra,  a cornercorner with one Hf(8)N3O3 octahedra,  a cornercorner with one Hf(15)N4O2 octahedra,  a cornercorner with one Hf(13)N5O octahedra,  a cornercorner with one Hf(6)N5O octahedra,  a cornercorner with one Hf(5)N3O3 pentagonal pyramid,  an edgeedge with one Hf(11)N4O2 octahedra,  an edgeedge with one Hf(3)N4O2 octahedra,  an edgeedge with one Hf(7)N4O2 octahedra,  an edgeedge with one Hf(16)N5O octahedra,  an edgeedge with one Hf(14)N6 octahedra, and  an edgeedge with one Hf(2)N3O3 pentagonal pyramid. The corner-sharing octahedral tilt angles range from 50-59°. In the tenth Hf site, Hf(10) is bonded to one N(10), one N(11), one N(3), one O(1), one O(5), and one O(7) atom to form HfN3O3 octahedra that share  a cornercorner with one Hf(8)N3O3 octahedra,  a cornercorner with one Hf(3)N4O2 octahedra,  a cornercorner with one Hf(16)N5O octahedra,  a cornercorner with one Hf(6)N5O octahedra,  a cornercorner with one Hf(14)N6 octahedra,  a cornercorner with one Hf(2)N3O3 pentagonal pyramid,  an edgeedge with one Hf(4)N2O4 octahedra,  an edgeedge with one Hf(11)N4O2 octahedra,  an edgeedge with one Hf(15)N4O2 octahedra,  an edgeedge with one Hf(7)N4O2 octahedra,  an edgeedge with one Hf(13)N5O octahedra, and  an edgeedge with one Hf(5)N3O3 pentagonal pyramid. The corner-sharing octahedral tilt angles range from 53-58°. In the eleventh Hf site, Hf(11) is bonded to one N(11), one N(12), one N(2), one N(4), one O(7), and one O(8) atom to form distorted HfN4O2 octahedra that share  a cornercorner with one Hf(1)N4O2 octahedra,  a cornercorner with one Hf(15)N4O2 octahedra,  a cornercorner with one Hf(3)N4O2 octahedra,  a cornercorner with one Hf(12)N5O octahedra,  a cornercorner with one Hf(13)N5O octahedra,  a cornercorner with one Hf(16)N5O octahedra,  an edgeedge with one Hf(4)N2O4 octahedra,  an edgeedge with one Hf(10)N3O3 octahedra,  an edgeedge with one Hf(9)N4O2 octahedra,  an edgeedge with one Hf(14)N6 octahedra,  an edgeedge with one Hf(2)N3O3 pentagonal pyramid, and  an edgeedge with one Hf(5)N3O3 pentagonal pyramid. The corner-sharing octahedral tilt angles range from 53-61°. In the twelfth Hf site, Hf(12) is bonded to one N(14), one N(15), one N(4), one N(7), one N(9), and one O(4) atom to form HfN5O octahedra that share  a cornercorner with one Hf(11)N4O2 octahedra,  a cornercorner with one Hf(3)N4O2 octahedra,  a cornercorner with one Hf(7)N4O2 octahedra,  a cornercorner with one Hf(13)N5O octahedra,  a cornercorner with one Hf(14)N6 octahedra,  a cornercorner with one Hf(5)N3O3 pentagonal pyramid,  an edgeedge with one Hf(4)N2O4 octahedra,  an edgeedge with one Hf(8)N3O3 octahedra,  an edgeedge with one Hf(15)N4O2 octahedra,  an edgeedge with one Hf(16)N5O octahedra,  an edgeedge with one Hf(6)N5O octahedra, and  an edgeedge with one Hf(2)N3O3 pentagonal pyramid. The corner-sharing octahedral tilt angles range from 54-61°. In the thirteenth Hf site, Hf(13) is bonded to one N(1), one N(12), one N(3), one N(5), one N(9), and one O(5) atom to form distorted HfN5O octahedra that share  a cornercorner with one Hf(11)N4O2 octahedra,  a cornercorner with one Hf(15)N4O2 octahedra,  a cornercorner with one Hf(3)N4O2 octahedra,  a cornercorner with one Hf(9)N4O2 octahedra,  a cornercorner with one Hf(12)N5O octahedra,  a cornercorner with one Hf(6)N5O octahedra,  an edgeedge with one Hf(4)N2O4 octahedra,  an edgeedge with one Hf(10)N3O3 octahedra,  an edgeedge with one Hf(8)N3O3 octahedra,  an edgeedge with one Hf(1)N4O2 octahedra,  an edgeedge with one Hf(7)N4O2 octahedra, and  an edgeedge with one Hf(14)N6 octahedra. The corner-sharing octahedral tilt angles range from 53-57°. In the fourteenth Hf site, Hf(14) is bonded to one N(11), one N(12), one N(13), one N(15), one N(16), and one N(5) atom to form distorted HfN6 octahedra that share  a cornercorner with one Hf(10)N3O3 octahedra,  a cornercorner with one Hf(8)N3O3 octahedra,  a cornercorner with one Hf(7)N4O2 octahedra,  a cornercorner with one Hf(12)N5O octahedra,  a cornercorner with one Hf(2)N3O3 pentagonal pyramid,  a cornercorner with one Hf(5)N3O3 pentagonal pyramid,  an edgeedge with one Hf(1)N4O2 octahedra,  an edgeedge with one Hf(11)N4O2 octahedra,  an edgeedge with one Hf(9)N4O2 octahedra,  an edgeedge with one Hf(13)N5O octahedra,  an edgeedge with one Hf(16)N5O octahedra, and  an edgeedge with one Hf(6)N5O octahedra. The corner-sharing octahedral tilt angles range from 53-54°. In the fifteenth Hf site, Hf(15) is bonded to one N(1), one N(10), one N(4), one N(8), one O(1), and one O(4) atom to form distorted HfN4O2 octahedra that share  a cornercorner with one Hf(1)N4O2 octahedra,  a cornercorner with one Hf(11)N4O2 octahedra,  a cornercorner with one Hf(9)N4O2 octahedra,  a cornercorner with one Hf(13)N5O octahedra,  a cornercorner with one Hf(16)N5O octahedra,  a cornercorner with one Hf(6)N5O octahedra,  an edgeedge with one Hf(10)N3O3 octahedra,  an edgeedge with one Hf(8)N3O3 octahedra,  an edgeedge with one Hf(7)N4O2 octahedra,  an edgeedge with one Hf(12)N5O octahedra,  an edgeedge with one Hf(2)N3O3 pentagonal pyramid, and  an edgeedge with one Hf(5)N3O3 pentagonal pyramid. The corner-sharing octahedral tilt angles range from 53-58°. In the sixteenth Hf site, Hf(16) is bonded to one N(13), one N(14), one N(16), one N(7), one N(8), and one O(7) atom to form distorted HfN5O octahedra that share  a cornercorner with one Hf(10)N3O3 octahedra,  a cornercorner with one Hf(1)N4O2 octahedra,  a cornercorner with one Hf(11)N4O2 octahedra,  a cornercorner with one Hf(15)N4O2 octahedra,  a cornercorner with one Hf(3)N4O2 octahedra,  a cornercorner with one Hf(6)N5O octahedra,  an edgeedge with one Hf(4)N2O4 octahedra,  an edgeedge with one Hf(8)N3O3 octahedra,  an edgeedge with one Hf(7)N4O2 octahedra,  an edgeedge with one Hf(9)N4O2 octahedra,  an edgeedge with one Hf(12)N5O octahedra, and  an edgeedge with one Hf(14)N6 octahedra. The corner-sharing octahedral tilt angles range from 54-56°. There are sixteen inequivalent N sites. In the first N site, N(1) is bonded to one Hf(1), one Hf(13), one Hf(15), and one Hf(8) atom to form NHf4 tetrahedra that share  a cornercorner with one N(10)Hf4 tetrahedra,  a cornercorner with one N(14)Hf4 tetrahedra,  a cornercorner with one N(2)Hf4 tetrahedra,  a cornercorner with one N(8)Hf4 tetrahedra,  a cornercorner with one N(9)Hf4 tetrahedra,  a cornercorner with one N(12)Hf4 trigonal pyramid,  a cornercorner with one N(13)Hf4 trigonal pyramid,  a cornercorner with one N(16)Hf4 trigonal pyramid,  a cornercorner with one N(3)Hf4 trigonal pyramid,  a cornercorner with one N(4)Hf4 trigonal pyramid,  a cornercorner with one O(1)Hf4 trigonal pyramid,  a cornercorner with one O(2)Hf4 trigonal pyramid,  an edgeedge with one N(5)Hf4 trigonal pyramid,  an edgeedge with one O(3)Hf4 trigonal pyramid,  an edgeedge with one O(4)Hf4 trigonal pyramid, and  an edgeedge with one O(5)Hf4 trigonal pyramid. In the second N site, N(2) is bonded to one Hf(1), one Hf(11), one Hf(3), and one Hf(5) atom to form NHf4 tetrahedra that share  a cornercorner with one N(1)Hf4 tetrahedra,  a cornercorner with one N(10)Hf4 tetrahedra,  a cornercorner with one N(14)Hf4 tetrahedra,  a cornercorner with one N(6)Hf4 tetrahedra,  a cornercorner with one O(7)Hf4 tetrahedra,  a cornercorner with one N(12)Hf4 trigonal pyramid,  a cornercorner with one N(16)Hf4 trigonal pyramid,  a cornercorner with one N(3)Hf4 trigonal pyramid,  a cornercorner with one N(4)Hf4 trigonal pyramid,  a cornercorner with one N(5)Hf4 trigonal pyramid,  a cornercorner with one O(4)Hf4 trigonal pyramid,  a cornercorner with one O(8)Hf4 trigonal pyramid,  an edgeedge with one N(11)Hf4 trigonal pyramid,  an edgeedge with one O(2)Hf4 trigonal pyramid,  an edgeedge with one O(3)Hf4 trigonal pyramid, and  an edgeedge with one O(6)Hf4 trigonal pyramid. In the third N site, N(3) is bonded to one Hf(10), one Hf(13), one Hf(3), and one Hf(7) atom to form NHf4 trigonal pyramids that share  a cornercorner with one N(1)Hf4 tetrahedra,  a cornercorner with one N(10)Hf4 tetrahedra,  a cornercorner with one N(14)Hf4 tetrahedra,  a cornercorner with one N(2)Hf4 tetrahedra,  a cornercorner with one N(6)Hf4 tetrahedra,  a cornercorner with one N(8)Hf4 tetrahedra,  a cornercorner with one N(9)Hf4 tetrahedra,  a cornercorner with one O(7)Hf4 tetrahedra,  a cornercorner with one N(11)Hf4 trigonal pyramid,  a cornercorner with one N(12)Hf4 trigonal pyramid,  a cornercorner with one N(7)Hf4 trigonal pyramid,  a cornercorner with one O(3)Hf4 trigonal pyramid,  an edgeedge with one N(5)Hf4 trigonal pyramid,  an edgeedge with one O(1)Hf4 trigonal pyramid,  an edgeedge with one O(5)Hf4 trigonal pyramid, and  an edgeedge with one O(6)Hf4 trigonal pyramid. In the fourth N site, N(4) is bonded to one Hf(11), one Hf(12), one Hf(15), and one Hf(2) atom to form NHf4 trigonal pyramids that share  a cornercorner with one N(1)Hf4 tetrahedra,  a cornercorner with one N(10)Hf4 tetrahedra,  a cornercorner with one N(14)Hf4 tetrahedra,  a cornercorner with one N(2)Hf4 tetrahedra,  a cornercorner with one N(6)Hf4 tetrahedra,  a cornercorner with one N(8)Hf4 tetrahedra,  a cornercorner with one N(9)Hf4 tetrahedra,  a cornercorner with one O(7)Hf4 tetrahedra,  a cornercorner with one N(11)Hf4 trigonal pyramid,  a cornercorner with one N(12)Hf4 trigonal pyramid,  a cornercorner with one N(7)Hf4 trigonal pyramid,  a cornercorner with one O(3)Hf4 trigonal pyramid,  an edgeedge with one N(15)Hf4 trigonal pyramid,  an edgeedge with one O(1)Hf4 trigonal pyramid,  an edgeedge with one O(4)Hf4 trigonal pyramid, and  an edgeedge with one O(8)Hf4 trigonal pyramid. In the fifth N site, N(5) is bonded to one Hf(1), one Hf(13), one Hf(14), and one Hf(7) atom to form NHf4 trigonal pyramids that share  a cornercorner with one N(2)Hf4 tetrahedra,  a cornercorner with one N(8)Hf4 tetrahedra,  a cornercorner with one N(9)Hf4 tetrahedra,  a cornercorner with one N(11)Hf4 trigonal pyramid,  a cornercorner with one N(13)Hf4 trigonal pyramid,  a cornercorner with one N(15)Hf4 trigonal pyramid,  a cornercorner with one N(7)Hf4 trigonal pyramid,  a cornercorner with one O(1)Hf4 trigonal pyramid,  a cornercorner with one O(2)Hf4 trigonal pyramid,  a cornercorner with one O(3)Hf4 trigonal pyramid,  a cornercorner with one O(5)Hf4 trigonal pyramid,  a cornercorner with one O(6)Hf4 trigonal pyramid,  an edgeedge with one N(1)Hf4 tetrahedra,  an edgeedge with one N(12)Hf4 trigonal pyramid,  an edgeedge with one N(16)Hf4 trigonal pyramid, and  an edgeedge with one N(3)Hf4 trigonal pyramid. In the sixth N site, N(6) is bonded to one Hf(2), one Hf(3), one Hf(6), and one Hf(9) atom to form NHf4 tetrahedra that share  a cornercorner with one N(10)Hf4 tetrahedra,  a cornercorner with one N(14)Hf4 tetrahedra,  a cornercorner with one N(2)Hf4 tetrahedra,  a cornercorner with one N(8)Hf4 tetrahedra,  a cornercorner with one N(9)Hf4 tetrahedra,  a cornercorner with one N(12)Hf4 trigonal pyramid,  a cornercorner with one N(13)Hf4 trigonal pyramid,  a cornercorner with one N(16)Hf4 trigonal pyramid,  a cornercorner with one N(3)Hf4 trigonal pyramid,  a cornercorner with one N(4)Hf4 trigonal pyramid,  a cornercorner with one O(1)Hf4 trigonal pyramid,  a cornercorner with one O(2)Hf4 trigonal pyramid,  an edgeedge with one N(15)Hf4 trigonal pyramid,  an edgeedge with one O(3)Hf4 trigonal pyramid,  an edgeedge with one O(6)Hf4 trigonal pyramid, and  an edgeedge with one O(8)Hf4 trigonal pyramid. In the seventh N site, N(7) is bonded to one Hf(12), one Hf(16), one Hf(4), and one Hf(7) atom to form distorted NHf4 trigonal pyramids that share  a cornercorner with one N(13)Hf4 trigonal pyramid,  a cornercorner with one N(15)Hf4 trigonal pyramid,  a cornercorner with one N(16)Hf4 trigonal pyramid,  a cornercorner with one N(3)Hf4 trigonal pyramid,  a cornercorner with one N(4)Hf4 trigonal pyramid,  a cornercorner with one N(5)Hf4 trigonal pyramid,  a cornercorner with one O(1)Hf4 trigonal pyramid,  a cornercorner with one O(2)Hf4 trigonal pyramid,  a cornercorner with one O(4)Hf4 trigonal pyramid,  a cornercorner with one O(5)Hf4 trigonal pyramid,  a cornercorner with one O(6)Hf4 trigonal pyramid,  a cornercorner with one O(8)Hf4 trigonal pyramid,  an edgeedge with one N(14)Hf4 tetrahedra,  an edgeedge with one N(8)Hf4 tetrahedra,  an edgeedge with one N(9)Hf4 tetrahedra, and  an edgeedge with one O(7)Hf4 tetrahedra. In the eighth N site, N(8) is bonded to one Hf(15), one Hf(16), one Hf(7), and one Hf(9) atom to form NHf4 tetrahedra that share  a cornercorner with one N(1)Hf4 tetrahedra,  a cornercorner with one N(10)Hf4 tetrahedra,  a cornercorner with one N(14)Hf4 tetrahedra,  a cornercorner with one N(6)Hf4 tetrahedra,  a cornercorner with one O(7)Hf4 tetrahedra,  a cornercorner with one N(12)Hf4 trigonal pyramid,  a cornercorner with one N(16)Hf4 trigonal pyramid,  a cornercorner with one N(3)Hf4 trigonal pyramid,  a cornercorner with one N(4)Hf4 trigonal pyramid,  a cornercorner with one N(5)Hf4 trigonal pyramid,  a cornercorner with one O(4)Hf4 trigonal pyramid,  a cornercorner with one O(8)Hf4 trigonal pyramid,  an edgeedge with one N(13)Hf4 trigonal pyramid,  an edgeedge with one N(7)Hf4 trigonal pyramid,  an edgeedge with one O(1)Hf4 trigonal pyramid, and  an edgeedge with one O(6)Hf4 trigonal pyramid. In the ninth N site, N(9) is bonded to one Hf(12), one Hf(13), one Hf(4), and one Hf(6) atom to form NHf4 tetrahedra that share  a cornercorner with one N(1)Hf4 tetrahedra,  a cornercorner with one N(10)Hf4 tetrahedra,  a cornercorner with one N(14)Hf4 tetrahedra,  a cornercorner with one N(6)Hf4 tetrahedra,  a cornercorner with one O(7)Hf4 tetrahedra,  a cornercorner with one N(12)Hf4 trigonal pyramid,  a cornercorner with one N(16)Hf4 trigonal pyramid,  a cornercorner with one N(3)Hf4 trigonal pyramid,  a cornercorner with one N(4)Hf4 trigonal pyramid,  a cornercorner with one N(5)Hf4 trigonal pyramid,  a cornercorner with one O(4)Hf4 trigonal pyramid,  a cornercorner with one O(8)Hf4 trigonal pyramid,  an edgeedge with one N(15)Hf4 trigonal pyramid,  an edgeedge with one N(7)Hf4 trigonal pyramid,  an edgeedge with one O(2)Hf4 trigonal pyramid, and  an edgeedge with one O(5)Hf4 trigonal pyramid. In the tenth N site, N(10) is bonded to one Hf(10), one Hf(15), one Hf(5), and one Hf(6) atom to form NHf4 tetrahedra that share  a cornercorner with one N(1)Hf4 tetrahedra,  a cornercorner with one N(2)Hf4 tetrahedra,  a cornercorner with one N(6)Hf4 tetrahedra,  a cornercorner with one N(8)Hf4 tetrahedra,  a cornercorner with one N(9)Hf4 tetrahedra,  a cornercorner with one O(7)Hf4 tetrahedra,  a cornercorner with one N(15)Hf4 trigonal pyramid,  a cornercorner with one N(16)Hf4 trigonal pyramid,  a cornercorner with one N(3)Hf4 trigonal pyramid,  a cornercorner with one N(4)Hf4 trigonal pyramid,  a cornercorner with one O(5)Hf4 trigonal pyramid,  a cornercorner with one O(6)Hf4 trigonal pyramid,  an edgeedge with one N(11)Hf4 trigonal pyramid,  an edgeedge with one O(1)Hf4 trigonal pyramid,  an edgeedge with one O(2)Hf4 trigonal pyramid, and  an edgeedge with one O(4)Hf4 trigonal pyramid. In the eleventh N site, N(11) is bonded to one Hf(10), one Hf(11), one Hf(14), and one Hf(5) atom to form NHf4 trigonal pyramids that share  a cornercorner with one N(13)Hf4 trigonal pyramid,  a cornercorner with one N(15)Hf4 trigonal pyramid,  a cornercorner with one N(16)Hf4 trigonal pyramid,  a cornercorner with one N(3)Hf4 trigonal pyramid,  a cornercorner with one N(4)Hf4 trigonal pyramid,  a cornercorner with one N(5)Hf4 trigonal pyramid,  a cornercorner with one O(1)Hf4 trigonal pyramid,  a cornercorner with one O(2)Hf4 trigonal pyramid,  a cornercorner with one O(4)Hf4 trigonal pyramid,  a cornercorner with one O(5)Hf4 trigonal pyramid,  a cornercorner with one O(6)Hf4 trigonal pyramid,  a cornercorner with one O(8)Hf4 trigonal pyramid,  an edgeedge with one N(10)Hf4 tetrahedra,  an edgeedge with one N(2)Hf4 tetrahedra,  an edgeedge with one O(7)Hf4 tetrahedra, and  an edgeedge with one N(12)Hf4 trigonal pyramid. In the twelfth N site, N(12) is bonded to one Hf(11), one Hf(13), one Hf(14), and one Hf(9) atom to form NHf4 trigonal pyramids that share  a cornercorner with one N(1)Hf4 tetrahedra,  a cornercorner with one N(2)Hf4 tetrahedra,  a cornercorner with one N(6)Hf4 tetrahedra,  a cornercorner with one N(8)Hf4 tetrahedra,  a cornercorner with one N(9)Hf4 tetrahedra,  a cornercorner with one O(7)Hf4 tetrahedra,  a cornercorner with one N(15)Hf4 trigonal pyramid,  a cornercorner with one N(16)Hf4 trigonal pyramid,  a cornercorner with one N(3)Hf4 trigonal pyramid,  a cornercorner with one N(4)Hf4 trigonal pyramid,  a cornercorner with one O(5)Hf4 trigonal pyramid,  a cornercorner with one O(6)Hf4 trigonal pyramid,  an edgeedge with one N(11)Hf4 trigonal pyramid,  an edgeedge with one N(13)Hf4 trigonal pyramid,  an edgeedge with one N(5)Hf4 trigonal pyramid, and  an edgeedge with one O(8)Hf4 trigonal pyramid. In the thirteenth N site, N(13) is bonded to one Hf(14), one Hf(16), one Hf(8), and one Hf(9) atom to form NHf4 trigonal pyramids that share  a cornercorner with one N(1)Hf4 tetrahedra,  a cornercorner with one N(6)Hf4 tetrahedra,  a cornercorner with one O(7)Hf4 tetrahedra,  a cornercorner with one N(11)Hf4 trigonal pyramid,  a cornercorner with one N(15)Hf4 trigonal pyramid,  a cornercorner with one N(5)Hf4 trigonal pyramid,  a cornercorner with one N(7)Hf4 trigonal pyramid,  a cornercorner with one O(3)Hf4 trigonal pyramid,  a cornercorner with one O(4)Hf4 trigonal pyramid,  a cornercorner with one O(5)Hf4 trigonal pyramid,  a cornercorner with one O(6)Hf4 trigonal pyramid,  a cornercorner with one O(8)Hf4 trigonal pyramid,  an edgeedge with one N(14)Hf4 tetrahedra,  an edgeedge with one N(8)Hf4 tetrahedra,  an edgeedge with one N(12)Hf4 trigonal pyramid, and  an edgeedge with one N(16)Hf4 trigonal pyramid. In the fourteenth N site, N(14) is bonded to one Hf(12), one Hf(16), one Hf(3), and one Hf(8) atom to form NHf4 tetrahedra that share  a cornercorner with one N(1)Hf4 tetrahedra,  a cornercorner with one N(2)Hf4 tetrahedra,  a cornercorner with one N(6)Hf4 tetrahedra,  a cornercorner with one N(8)Hf4 tetrahedra,  a cornercorner with one N(9)Hf4 tetrahedra,  a cornercorner with one O(7)Hf4 tetrahedra,  a cornercorner with one N(15)Hf4 trigonal pyramid,  a cornercorner with one N(16)Hf4 trigonal pyramid,  a cornercorner with one N(3)Hf4 trigonal pyramid,  a cornercorner with one N(4)Hf4 trigonal pyramid,  a cornercorner with one O(5)Hf4 trigonal pyramid,  a cornercorner with one O(6)Hf4 trigonal pyramid,  an edgeedge with one N(13)Hf4 trigonal pyramid,  an edgeedge with one N(7)Hf4 trigonal pyramid,  an edgeedge with one O(3)Hf4 trigonal pyramid, and  an edgeedge with one O(4)Hf4 trigonal pyramid. In the fifteenth N site, N(15) is bonded to one Hf(12), one Hf(14), one Hf(2), and one Hf(6) atom to form NHf4 trigonal pyramids that share  a cornercorner with one N(10)Hf4 tetrahedra,  a cornercorner with one N(14)Hf4 tetrahedra,  a cornercorner with one N(11)Hf4 trigonal pyramid,  a cornercorner with one N(12)Hf4 trigonal pyramid,  a cornercorner with one N(13)Hf4 trigonal pyramid,  a cornercorner with one N(5)Hf4 trigonal pyramid,  a cornercorner with one N(7)Hf4 trigonal pyramid,  a cornercorner with one O(1)Hf4 trigonal pyramid,  a cornercorner with one O(2)Hf4 trigonal pyramid,  a cornercorner with one O(3)Hf4 trigonal pyramid,  a cornercorner with one O(4)Hf4 trigonal pyramid,  a cornercorner with one O(8)Hf4 trigonal pyramid,  an edgeedge with one N(6)Hf4 tetrahedra,  an edgeedge with one N(9)Hf4 tetrahedra,  an edgeedge with one N(16)Hf4 trigonal pyramid, and  an edgeedge with one N(4)Hf4 trigonal pyramid. In the sixteenth N site, N(16) is bonded to one Hf(1), one Hf(14), one Hf(16), and one Hf(6) atom to form NHf4 trigonal pyramids that share  a cornercorner with one N(1)Hf4 tetrahedra,  a cornercorner with one N(10)Hf4 tetrahedra,  a cornercorner with one N(14)Hf4 tetrahedra,  a cornercorner with one N(2)Hf4 tetrahedra,  a cornercorner with one N(6)Hf4 tetrahedra,  a cornercorner with one N(8)Hf4 tetrahedra,  a cornercorner with one N(9)Hf4 tetrahedra,  a cornercorner with one O(7)Hf4 tetrahedra,  a cornercorner with one N(11)Hf4 trigonal pyramid,  a cornercorner with one N(12)Hf4 trigonal pyramid,  a cornercorner with one N(7)Hf4 trigonal pyramid,  a cornercorner with one O(3)Hf4 trigonal pyramid,  an edgeedge with one N(13)Hf4 trigonal pyramid,  an edgeedge with one N(15)Hf4 trigonal pyramid,  an edgeedge with one N(5)Hf4 trigonal pyramid, and  an edgeedge with one O(2)Hf4 trigonal pyramid. There are eight inequivalent O sites. In the first O site, O(1) is bonded to one Hf(10), one Hf(15), one Hf(2), and one Hf(7) atom to form OHf4 trigonal pyramids that share  a cornercorner with one N(1)Hf4 tetrahedra,  a cornercorner with one N(6)Hf4 tetrahedra,  a cornercorner with one O(7)Hf4 tetrahedra,  a cornercorner with one N(11)Hf4 trigonal pyramid,  a cornercorner with one N(15)Hf4 trigonal pyramid,  a cornercorner with one N(5)Hf4 trigonal pyramid,  a cornercorner with one N(7)Hf4 trigonal pyramid,  a cornercorner with one O(3)Hf4 trigonal pyramid,  a cornercorner with one O(4)Hf4 trigonal pyramid,  a cornercorner with one O(5)Hf4 trigonal pyramid,  a cornercorner with one O(6)Hf4 trigonal pyramid,  a cornercorner with one O(8)Hf4 trigonal pyramid,  an edgeedge with one N(10)Hf4 tetrahedra,  an edgeedge with one N(8)Hf4 tetrahedra,  an edgeedge with one N(3)Hf4 trigonal pyramid, and  an edgeedge with one N(4)Hf4 trigonal pyramid. In the second O site, O(2) is bonded to one Hf(1), one Hf(4), one Hf(5), and one Hf(6) atom to form OHf4 trigonal pyramids that share  a cornercorner with one N(1)Hf4 tetrahedra,  a cornercorner with one N(6)Hf4 tetrahedra,  a cornercorner with one O(7)Hf4 tetrahedra,  a cornercorner with one N(11)Hf4 trigonal pyramid,  a cornercorner with one N(15)Hf4 trigonal pyramid,  a cornercorner with one N(5)Hf4 trigonal pyramid,  a cornercorner with one N(7)Hf4 trigonal pyramid,  a cornercorner with one O(3)Hf4 trigonal pyramid,  a cornercorner with one O(4)Hf4 trigonal pyramid,  a cornercorner with one O(5)Hf4 trigonal pyramid,  a cornercorner with one O(6)Hf4 trigonal pyramid,  a cornercorner with one O(8)Hf4 trigonal pyramid,  an edgeedge with one N(10)Hf4 tetrahedra,  an edgeedge with one N(2)Hf4 tetrahedra,  an edgeedge with one N(9)Hf4 tetrahedra, and  an edgeedge with one N(16)Hf4 trigonal pyramid. In the third O site, O(3) is bonded to one Hf(1), one Hf(2), one Hf(3), and one Hf(8) atom to form OHf4 trigonal pyramids that share  a cornercorner with one N(13)Hf4 trigonal pyramid,  a cornercorner with one N(15)Hf4 trigonal pyramid,  a cornercorner with one N(16)Hf4 trigonal pyramid,  a cornercorner with one N(3)Hf4 trigonal pyramid,  a cornercorner with one N(4)Hf4 trigonal pyramid,  a cornercorner with one N(5)Hf4 trigonal pyramid,  a cornercorner with one O(1)Hf4 trigonal pyramid,  a cornercorner with one O(2)Hf4 trigonal pyramid,  a cornercorner with one O(4)Hf4 trigonal pyramid,  a cornercorner with one O(5)Hf4 trigonal pyramid,  a cornercorner with one O(6)Hf4 trigonal pyramid,  a cornercorner with one O(8)Hf4 trigonal pyramid,  an edgeedge with one N(1)Hf4 tetrahedra,  an edgeedge with one N(14)Hf4 tetrahedra,  an edgeedge with one N(2)Hf4 tetrahedra, and  an edgeedge with one N(6)Hf4 tetrahedra. In the fourth O site, O(4) is bonded to one Hf(12), one Hf(15), one Hf(5), and one Hf(8) atom to form OHf4 trigonal pyramids that share  a cornercorner with one N(2)Hf4 tetrahedra,  a cornercorner with one N(8)Hf4 tetrahedra,  a cornercorner with one N(9)Hf4 tetrahedra,  a cornercorner with one N(11)Hf4 trigonal pyramid,  a cornercorner with one N(13)Hf4 trigonal pyramid,  a cornercorner with one N(15)Hf4 trigonal pyramid,  a cornercorner with one N(7)Hf4 trigonal pyramid,  a cornercorner with one O(1)Hf4 trigonal pyramid,  a cornercorner with one O(2)Hf4 trigonal pyramid,  a cornercorner with one O(3)Hf4 trigonal pyramid,  a cornercorner with one O(5)Hf4 trigonal pyramid,  a cornercorner with one O(6)Hf4 trigonal pyramid,  an edgeedge with one N(1)Hf4 tetrahedra,  an edgeedge with one N(10)Hf4 tetrahedra,  an edgeedge with one N(14)Hf4 tetrahedra, and  an edgeedge with one N(4)Hf4 trigonal pyramid. In the fifth O site, O(5) is bonded to one Hf(10), one Hf(13), one Hf(4), and one Hf(8) atom to form OHf4 trigonal pyramids that share  a cornercorner with one N(10)Hf4 tetrahedra,  a cornercorner with one N(14)Hf4 tetrahedra,  a cornercorner with one N(11)Hf4 trigonal pyramid,  a cornercorner with one N(12)Hf4 trigonal pyramid,  a cornercorner with one N(13)Hf4 trigonal pyramid,  a cornercorner with one N(5)Hf4 trigonal pyramid,  a cornercorner with one N(7)Hf4 trigonal pyramid,  a cornercorner with one O(1)Hf4 trigonal pyramid,  a cornercorner with one O(2)Hf4 trigonal pyramid,  a cornercorner with one O(3)Hf4 trigonal pyramid,  a cornercorner with one O(4)Hf4 trigonal pyramid,  a cornercorner with one O(8)Hf4 trigonal pyramid,  an edgeedge with one N(1)Hf4 tetrahedra,  an edgeedge with one N(9)Hf4 tetrahedra,  an edgeedge with one O(7)Hf4 tetrahedra, and  an edgeedge with one N(3)Hf4 trigonal pyramid. In the sixth O site, O(6) is bonded to one Hf(3), one Hf(5), one Hf(7), and one Hf(9) atom to form OHf4 trigonal pyramids that share  a cornercorner with one N(10)Hf4 tetrahedra,  a cornercorner with one N(14)Hf4 tetrahedra,  a cornercorner with one N(11)Hf4 trigonal pyramid,  a cornercorner with one N(12)Hf4 trigonal pyramid,  a cornercorner with one N(13)Hf4 trigonal pyramid,  a cornercorner with one N(5)Hf4 trigonal pyramid,  a cornercorner with one N(7)Hf4 trigonal pyramid,  a cornercorner with one O(1)Hf4 trigonal pyramid,  a cornercorner with one O(2)Hf4 trigonal pyramid,  a cornercorner with one O(3)Hf4 trigonal pyramid,  a cornercorner with one O(4)Hf4 trigonal pyramid,  a cornercorner with one O(8)Hf4 trigonal pyramid,  an edgeedge with one N(2)Hf4 tetrahedra,  an edgeedge with one N(6)Hf4 tetrahedra,  an edgeedge with one N(8)Hf4 tetrahedra, and  an edgeedge with one N(3)Hf4 trigonal pyramid. In the seventh O site, O(7) is bonded to one Hf(10), one Hf(11), one Hf(16), and one Hf(4) atom to form OHf4 tetrahedra that share  a cornercorner with one N(10)Hf4 tetrahedra,  a cornercorner with one N(14)Hf4 tetrahedra,  a cornercorner with one N(2)Hf4 tetrahedra,  a cornercorner with one N(8)Hf4 tetrahedra,  a cornercorner with one N(9)Hf4 tetrahedra,  a cornercorner with one N(12)Hf4 trigonal pyramid,  a cornercorner with one N(13)Hf4 trigonal pyramid,  a cornercorner with one N(16)Hf4 trigonal pyramid,  a cornercorner with one N(3)Hf4 trigonal pyramid,  a cornercorner with one N(4)Hf4 trigonal pyramid,  a cornercorner with one O(1)Hf4 trigonal pyramid,  a cornercorner with one O(2)Hf4 trigonal pyramid,  an edgeedge with one N(11)Hf4 trigonal pyramid,  an edgeedge with one N(7)Hf4 trigonal pyramid,  an edgeedge with one O(5)Hf4 trigonal pyramid, and  an edgeedge with one O(8)Hf4 trigonal pyramid. In the eighth O site, O(8) is bonded to one Hf(11), one Hf(2), one Hf(4), and one Hf(9) atom to form OHf4 trigonal pyramids that share  a cornercorner with one N(2)Hf4 tetrahedra,  a cornercorner with one N(8)Hf4 tetrahedra,  a cornercorner with one N(9)Hf4 tetrahedra,  a cornercorner with one N(11)Hf4 trigonal pyramid,  a cornercorner with one N(13)Hf4 trigonal pyramid,  a cornercorner with one N(15)Hf4 trigonal pyramid,  a cornercorner with one N(7)Hf4 trigonal pyramid,  a cornercorner with one O(1)Hf4 trigonal pyramid,  a cornercorner with one O(2)Hf4 trigonal pyramid,  a cornercorner with one O(3)Hf4 trigonal pyramid,  a cornercorner with one O(5)Hf4 trigonal pyramid,  a cornercorner with one O(6)Hf4 trigonal pyramid,  an edgeedge with one N(6)Hf4 tetrahedra,  an edgeedge with one O(7)Hf4 tetrahedra,  an edgeedge with one N(12)Hf4 trigonal pyramid, and  an edgeedge with one N(4)Hf4 trigonal pyramid. is represented by the Crystallographic Information File (CIF) [CIF]
data_Hf2N2O
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.665
_cell_length_b   8.665
_cell_length_c   8.671
_cell_angle_alpha   109.447
_cell_angle_beta   109.553
_cell_angle_gamma   109.207
_symmetry_Int_Tables_number   1
_cell_volume   502.398
_cell_formula_units_Z   8
loop_
 _symmetry_equiv_pos_site_id
 _symmetry_equiv_pos_as_xyz
  1  'x, y, z'
loop_
 _atom_site_type_symbol
 _atom_site_label
 _atom_site_symmetry_multiplicity
 _atom_site_fract_x
 _atom_site_fract_y
 _atom_site_fract_z
 _atom_site_occupancy
  Hf  Hf0  1  0.489  0.491  0.501  1.0
  Hf  Hf1  1  0.788  0.536  0.243  1.0
  Hf  Hf2  1  0.530  0.750  0.280  1.0
  Hf  Hf3  1  0.031  0.744  0.789  1.0
  Hf  Hf4  1  0.705  0.964  0.749  1.0
  Hf  Hf5  1  0.747  0.715  0.973  1.0
  Hf  Hf6  1  0.748  0.216  0.467  1.0
  Hf  Hf7  1  0.251  0.291  0.033  1.0
  Hf  Hf8  1  0.008  0.006  0.496  1.0
  Hf  Hf9  1  0.508  0.998  0.001  1.0
  Hf  Hf10  1  0.256  0.787  0.531  1.0
  Hf  Hf11  1  0.001  0.511  0.003  1.0
  Hf  Hf12  1  0.289  0.036  0.255  1.0
  Hf  Hf13  1  0.466  0.251  0.716  1.0
  Hf  Hf14  1  0.974  0.250  0.220  1.0
  Hf  Hf15  1  0.213  0.456  0.750  1.0
  N  N16  1  0.228  0.262  0.266  1.0
  N  N17  1  0.461  0.730  0.489  1.0
  N  N18  1  0.493  0.957  0.227  1.0
  N  N19  1  0.042  0.530  0.275  1.0
  N  N20  1  0.547  0.276  0.514  1.0
  N  N21  1  0.760  0.770  0.233  1.0
  N  N22  1  0.956  0.470  0.727  1.0
  N  N23  1  0.005  0.234  0.461  1.0
  N  N24  1  0.032  0.774  0.042  1.0
  N  N25  1  0.741  0.969  0.010  1.0
  N  N26  1  0.512  0.045  0.775  1.0
  N  N27  1  0.223  0.982  0.450  1.0
  N  N28  1  0.234  0.222  0.771  1.0
  N  N29  1  0.273  0.542  0.038  1.0
  N  N30  1  0.727  0.452  0.968  1.0
  N  N31  1  0.464  0.519  0.738  1.0
  O  O32  1  0.717  0.272  0.235  1.0
  O  O33  1  0.774  0.737  0.720  1.0
  O  O34  1  0.536  0.480  0.259  1.0
  O  O35  1  0.965  0.223  0.945  1.0
  O  O36  1  0.264  0.033  0.986  1.0
  O  O37  1  0.778  0.020  0.555  1.0
  O  O38  1  0.272  0.734  0.766  1.0
  O  O39  1  0.990  0.764  0.541  1.0
[/CIF]
.
The material structure described by Hf2ON2 is Spinel-like structured and crystallizes in the triclinic P1 space group. There are sixteen inequivalent Hf sites. In the first Hf site, Hf(1) is bonded to one N(1), one N(16), one N(2), one N(5), one O(2), and one O(3) atom to form HfN4O2 octahedra that share  a cornercorner with one Hf(4)N2O4 octahedra,  a cornercorner with one Hf(11)N4O2 octahedra,  a cornercorner with one Hf(15)N4O2 octahedra,  a cornercorner with one Hf(7)N4O2 octahedra,  a cornercorner with one Hf(16)N5O octahedra,  a cornercorner with one Hf(2)N3O3 pentagonal pyramid,  an edgeedge with one Hf(8)N3O3 octahedra,  an edgeedge with one Hf(3)N4O2 octahedra,  an edgeedge with one Hf(13)N5O octahedra,  an edgeedge with one Hf(6)N5O octahedra,  an edgeedge with one Hf(14)N6 octahedra, and  an edgeedge with one Hf(5)N3O3 pentagonal pyramid. The corner-sharing octahedral tilt angles range from 52-59°. In the second Hf site, Hf(2) is bonded to one N(15), one N(4), one N(6), one O(1), one O(3), and one O(8) atom to form distorted HfN3O3 pentagonal pyramids that share  a cornercorner with one Hf(4)N2O4 octahedra,  a cornercorner with one Hf(10)N3O3 octahedra,  a cornercorner with one Hf(8)N3O3 octahedra,  a cornercorner with one Hf(1)N4O2 octahedra,  a cornercorner with one Hf(7)N4O2 octahedra,  a cornercorner with one Hf(14)N6 octahedra,  an edgeedge with one Hf(11)N4O2 octahedra,  an edgeedge with one Hf(15)N4O2 octahedra,  an edgeedge with one Hf(3)N4O2 octahedra,  an edgeedge with one Hf(9)N4O2 octahedra,  an edgeedge with one Hf(12)N5O octahedra, and  an edgeedge with one Hf(6)N5O octahedra. The corner-sharing octahedral tilt angles range from 51-53°. In the third Hf site, Hf(3) is bonded to one N(14), one N(2), one N(3), one N(6), one O(3), and one O(6) atom to form distorted HfN4O2 octahedra that share  a cornercorner with one Hf(10)N3O3 octahedra,  a cornercorner with one Hf(11)N4O2 octahedra,  a cornercorner with one Hf(12)N5O octahedra,  a cornercorner with one Hf(13)N5O octahedra,  a cornercorner with one Hf(16)N5O octahedra,  a cornercorner with one Hf(6)N5O octahedra,  an edgeedge with one Hf(8)N3O3 octahedra,  an edgeedge with one Hf(1)N4O2 octahedra,  an edgeedge with one Hf(7)N4O2 octahedra,  an edgeedge with one Hf(9)N4O2 octahedra,  an edgeedge with one Hf(2)N3O3 pentagonal pyramid, and  an edgeedge with one Hf(5)N3O3 pentagonal pyramid. The corner-sharing octahedral tilt angles range from 54-56°. In the fourth Hf site, Hf(4) is bonded to one N(7), one N(9), one O(2), one O(5), one O(7), and one O(8) atom to form distorted HfN2O4 octahedra that share  a cornercorner with one Hf(8)N3O3 octahedra,  a cornercorner with one Hf(1)N4O2 octahedra,  a cornercorner with one Hf(7)N4O2 octahedra,  a cornercorner with one Hf(9)N4O2 octahedra,  a cornercorner with one Hf(2)N3O3 pentagonal pyramid,  a cornercorner with one Hf(5)N3O3 pentagonal pyramid,  an edgeedge with one Hf(10)N3O3 octahedra,  an edgeedge with one Hf(11)N4O2 octahedra,  an edgeedge with one Hf(12)N5O octahedra,  an edgeedge with one Hf(13)N5O octahedra,  an edgeedge with one Hf(16)N5O octahedra, and  an edgeedge with one Hf(6)N5O octahedra. The corner-sharing octahedral tilt angles range from 51-53°. In the fifth Hf site, Hf(5) is bonded to one N(10), one N(11), one N(2), one O(2), one O(4), and one O(6) atom to form distorted HfN3O3 pentagonal pyramids that share  a cornercorner with one Hf(4)N2O4 octahedra,  a cornercorner with one Hf(8)N3O3 octahedra,  a cornercorner with one Hf(7)N4O2 octahedra,  a cornercorner with one Hf(9)N4O2 octahedra,  a cornercorner with one Hf(12)N5O octahedra,  a cornercorner with one Hf(14)N6 octahedra,  an edgeedge with one Hf(10)N3O3 octahedra,  an edgeedge with one Hf(1)N4O2 octahedra,  an edgeedge with one Hf(11)N4O2 octahedra,  an edgeedge with one Hf(15)N4O2 octahedra,  an edgeedge with one Hf(3)N4O2 octahedra, and  an edgeedge with one Hf(6)N5O octahedra. The corner-sharing octahedral tilt angles range from 48-56°. In the sixth Hf site, Hf(6) is bonded to one N(10), one N(15), one N(16), one N(6), one N(9), and one O(2) atom to form distorted HfN5O octahedra that share  a cornercorner with one Hf(10)N3O3 octahedra,  a cornercorner with one Hf(15)N4O2 octahedra,  a cornercorner with one Hf(3)N4O2 octahedra,  a cornercorner with one Hf(9)N4O2 octahedra,  a cornercorner with one Hf(13)N5O octahedra,  a cornercorner with one Hf(16)N5O octahedra,  an edgeedge with one Hf(4)N2O4 octahedra,  an edgeedge with one Hf(1)N4O2 octahedra,  an edgeedge with one Hf(12)N5O octahedra,  an edgeedge with one Hf(14)N6 octahedra,  an edgeedge with one Hf(2)N3O3 pentagonal pyramid, and  an edgeedge with one Hf(5)N3O3 pentagonal pyramid. The corner-sharing octahedral tilt angles range from 53-59°. In the seventh Hf site, Hf(7) is bonded to one N(3), one N(5), one N(7), one N(8), one O(1), and one O(6) atom to form distorted HfN4O2 octahedra that share  a cornercorner with one Hf(4)N2O4 octahedra,  a cornercorner with one Hf(1)N4O2 octahedra,  a cornercorner with one Hf(12)N5O octahedra,  a cornercorner with one Hf(14)N6 octahedra,  a cornercorner with one Hf(2)N3O3 pentagonal pyramid,  a cornercorner with one Hf(5)N3O3 pentagonal pyramid,  an edgeedge with one Hf(10)N3O3 octahedra,  an edgeedge with one Hf(15)N4O2 octahedra,  an edgeedge with one Hf(3)N4O2 octahedra,  an edgeedge with one Hf(9)N4O2 octahedra,  an edgeedge with one Hf(13)N5O octahedra, and  an edgeedge with one Hf(16)N5O octahedra. The corner-sharing octahedral tilt angles range from 51-56°. In the eighth Hf site, Hf(8) is bonded to one N(1), one N(13), one N(14), one O(3), one O(4), and one O(5) atom to form distorted HfN3O3 octahedra that share  a cornercorner with one Hf(4)N2O4 octahedra,  a cornercorner with one Hf(10)N3O3 octahedra,  a cornercorner with one Hf(9)N4O2 octahedra,  a cornercorner with one Hf(14)N6 octahedra,  a cornercorner with one Hf(2)N3O3 pentagonal pyramid,  a cornercorner with one Hf(5)N3O3 pentagonal pyramid,  an edgeedge with one Hf(1)N4O2 octahedra,  an edgeedge with one Hf(15)N4O2 octahedra,  an edgeedge with one Hf(3)N4O2 octahedra,  an edgeedge with one Hf(12)N5O octahedra,  an edgeedge with one Hf(13)N5O octahedra, and  an edgeedge with one Hf(16)N5O octahedra. The corner-sharing octahedral tilt angles range from 50-55°. In the ninth Hf site, Hf(9) is bonded to one N(12), one N(13), one N(6), one N(8), one O(6), and one O(8) atom to form HfN4O2 octahedra that share  a cornercorner with one Hf(4)N2O4 octahedra,  a cornercorner with one Hf(8)N3O3 octahedra,  a cornercorner with one Hf(15)N4O2 octahedra,  a cornercorner with one Hf(13)N5O octahedra,  a cornercorner with one Hf(6)N5O octahedra,  a cornercorner with one Hf(5)N3O3 pentagonal pyramid,  an edgeedge with one Hf(11)N4O2 octahedra,  an edgeedge with one Hf(3)N4O2 octahedra,  an edgeedge with one Hf(7)N4O2 octahedra,  an edgeedge with one Hf(16)N5O octahedra,  an edgeedge with one Hf(14)N6 octahedra, and  an edgeedge with one Hf(2)N3O3 pentagonal pyramid. The corner-sharing octahedral tilt angles range from 50-59°. In the tenth Hf site, Hf(10) is bonded to one N(10), one N(11), one N(3), one O(1), one O(5), and one O(7) atom to form HfN3O3 octahedra that share  a cornercorner with one Hf(8)N3O3 octahedra,  a cornercorner with one Hf(3)N4O2 octahedra,  a cornercorner with one Hf(16)N5O octahedra,  a cornercorner with one Hf(6)N5O octahedra,  a cornercorner with one Hf(14)N6 octahedra,  a cornercorner with one Hf(2)N3O3 pentagonal pyramid,  an edgeedge with one Hf(4)N2O4 octahedra,  an edgeedge with one Hf(11)N4O2 octahedra,  an edgeedge with one Hf(15)N4O2 octahedra,  an edgeedge with one Hf(7)N4O2 octahedra,  an edgeedge with one Hf(13)N5O octahedra, and  an edgeedge with one Hf(5)N3O3 pentagonal pyramid. The corner-sharing octahedral tilt angles range from 53-58°. In the eleventh Hf site, Hf(11) is bonded to one N(11), one N(12), one N(2), one N(4), one O(7), and one O(8) atom to form distorted HfN4O2 octahedra that share  a cornercorner with one Hf(1)N4O2 octahedra,  a cornercorner with one Hf(15)N4O2 octahedra,  a cornercorner with one Hf(3)N4O2 octahedra,  a cornercorner with one Hf(12)N5O octahedra,  a cornercorner with one Hf(13)N5O octahedra,  a cornercorner with one Hf(16)N5O octahedra,  an edgeedge with one Hf(4)N2O4 octahedra,  an edgeedge with one Hf(10)N3O3 octahedra,  an edgeedge with one Hf(9)N4O2 octahedra,  an edgeedge with one Hf(14)N6 octahedra,  an edgeedge with one Hf(2)N3O3 pentagonal pyramid, and  an edgeedge with one Hf(5)N3O3 pentagonal pyramid. The corner-sharing octahedral tilt angles range from 53-61°. In the twelfth Hf site, Hf(12) is bonded to one N(14), one N(15), one N(4), one N(7), one N(9), and one O(4) atom to form HfN5O octahedra that share  a cornercorner with one Hf(11)N4O2 octahedra,  a cornercorner with one Hf(3)N4O2 octahedra,  a cornercorner with one Hf(7)N4O2 octahedra,  a cornercorner with one Hf(13)N5O octahedra,  a cornercorner with one Hf(14)N6 octahedra,  a cornercorner with one Hf(5)N3O3 pentagonal pyramid,  an edgeedge with one Hf(4)N2O4 octahedra,  an edgeedge with one Hf(8)N3O3 octahedra,  an edgeedge with one Hf(15)N4O2 octahedra,  an edgeedge with one Hf(16)N5O octahedra,  an edgeedge with one Hf(6)N5O octahedra, and  an edgeedge with one Hf(2)N3O3 pentagonal pyramid. The corner-sharing octahedral tilt angles range from 54-61°. In the thirteenth Hf site, Hf(13) is bonded to one N(1), one N(12), one N(3), one N(5), one N(9), and one O(5) atom to form distorted HfN5O octahedra that share  a cornercorner with one Hf(11)N4O2 octahedra,  a cornercorner with one Hf(15)N4O2 octahedra,  a cornercorner with one Hf(3)N4O2 octahedra,  a cornercorner with one Hf(9)N4O2 octahedra,  a cornercorner with one Hf(12)N5O octahedra,  a cornercorner with one Hf(6)N5O octahedra,  an edgeedge with one Hf(4)N2O4 octahedra,  an edgeedge with one Hf(10)N3O3 octahedra,  an edgeedge with one Hf(8)N3O3 octahedra,  an edgeedge with one Hf(1)N4O2 octahedra,  an edgeedge with one Hf(7)N4O2 octahedra, and  an edgeedge with one Hf(14)N6 octahedra. The corner-sharing octahedral tilt angles range from 53-57°. In the fourteenth Hf site, Hf(14) is bonded to one N(11), one N(12), one N(13), one N(15), one N(16), and one N(5) atom to form distorted HfN6 octahedra that share  a cornercorner with one Hf(10)N3O3 octahedra,  a cornercorner with one Hf(8)N3O3 octahedra,  a cornercorner with one Hf(7)N4O2 octahedra,  a cornercorner with one Hf(12)N5O octahedra,  a cornercorner with one Hf(2)N3O3 pentagonal pyramid,  a cornercorner with one Hf(5)N3O3 pentagonal pyramid,  an edgeedge with one Hf(1)N4O2 octahedra,  an edgeedge with one Hf(11)N4O2 octahedra,  an edgeedge with one Hf(9)N4O2 octahedra,  an edgeedge with one Hf(13)N5O octahedra,  an edgeedge with one Hf(16)N5O octahedra, and  an edgeedge with one Hf(6)N5O octahedra. The corner-sharing octahedral tilt angles range from 53-54°. In the fifteenth Hf site, Hf(15) is bonded to one N(1), one N(10), one N(4), one N(8), one O(1), and one O(4) atom to form distorted HfN4O2 octahedra that share  a cornercorner with one Hf(1)N4O2 octahedra,  a cornercorner with one Hf(11)N4O2 octahedra,  a cornercorner with one Hf(9)N4O2 octahedra,  a cornercorner with one Hf(13)N5O octahedra,  a cornercorner with one Hf(16)N5O octahedra,  a cornercorner with one Hf(6)N5O octahedra,  an edgeedge with one Hf(10)N3O3 octahedra,  an edgeedge with one Hf(8)N3O3 octahedra,  an edgeedge with one Hf(7)N4O2 octahedra,  an edgeedge with one Hf(12)N5O octahedra,  an edgeedge with one Hf(2)N3O3 pentagonal pyramid, and  an edgeedge with one Hf(5)N3O3 pentagonal pyramid. The corner-sharing octahedral tilt angles range from 53-58°. In the sixteenth Hf site, Hf(16) is bonded to one N(13), one N(14), one N(16), one N(7), one N(8), and one O(7) atom to form distorted HfN5O octahedra that share  a cornercorner with one Hf(10)N3O3 octahedra,  a cornercorner with one Hf(1)N4O2 octahedra,  a cornercorner with one Hf(11)N4O2 octahedra,  a cornercorner with one Hf(15)N4O2 octahedra,  a cornercorner with one Hf(3)N4O2 octahedra,  a cornercorner with one Hf(6)N5O octahedra,  an edgeedge with one Hf(4)N2O4 octahedra,  an edgeedge with one Hf(8)N3O3 octahedra,  an edgeedge with one Hf(7)N4O2 octahedra,  an edgeedge with one Hf(9)N4O2 octahedra,  an edgeedge with one Hf(12)N5O octahedra, and  an edgeedge with one Hf(14)N6 octahedra. The corner-sharing octahedral tilt angles range from 54-56°. There are sixteen inequivalent N sites. In the first N site, N(1) is bonded to one Hf(1), one Hf(13), one Hf(15), and one Hf(8) atom to form NHf4 tetrahedra that share  a cornercorner with one N(10)Hf4 tetrahedra,  a cornercorner with one N(14)Hf4 tetrahedra,  a cornercorner with one N(2)Hf4 tetrahedra,  a cornercorner with one N(8)Hf4 tetrahedra,  a cornercorner with one N(9)Hf4 tetrahedra,  a cornercorner with one N(12)Hf4 trigonal pyramid,  a cornercorner with one N(13)Hf4 trigonal pyramid,  a cornercorner with one N(16)Hf4 trigonal pyramid,  a cornercorner with one N(3)Hf4 trigonal pyramid,  a cornercorner with one N(4)Hf4 trigonal pyramid,  a cornercorner with one O(1)Hf4 trigonal pyramid,  a cornercorner with one O(2)Hf4 trigonal pyramid,  an edgeedge with one N(5)Hf4 trigonal pyramid,  an edgeedge with one O(3)Hf4 trigonal pyramid,  an edgeedge with one O(4)Hf4 trigonal pyramid, and  an edgeedge with one O(5)Hf4 trigonal pyramid. In the second N site, N(2) is bonded to one Hf(1), one Hf(11), one Hf(3), and one Hf(5) atom to form NHf4 tetrahedra that share  a cornercorner with one N(1)Hf4 tetrahedra,  a cornercorner with one N(10)Hf4 tetrahedra,  a cornercorner with one N(14)Hf4 tetrahedra,  a cornercorner with one N(6)Hf4 tetrahedra,  a cornercorner with one O(7)Hf4 tetrahedra,  a cornercorner with one N(12)Hf4 trigonal pyramid,  a cornercorner with one N(16)Hf4 trigonal pyramid,  a cornercorner with one N(3)Hf4 trigonal pyramid,  a cornercorner with one N(4)Hf4 trigonal pyramid,  a cornercorner with one N(5)Hf4 trigonal pyramid,  a cornercorner with one O(4)Hf4 trigonal pyramid,  a cornercorner with one O(8)Hf4 trigonal pyramid,  an edgeedge with one N(11)Hf4 trigonal pyramid,  an edgeedge with one O(2)Hf4 trigonal pyramid,  an edgeedge with one O(3)Hf4 trigonal pyramid, and  an edgeedge with one O(6)Hf4 trigonal pyramid. In the third N site, N(3) is bonded to one Hf(10), one Hf(13), one Hf(3), and one Hf(7) atom to form NHf4 trigonal pyramids that share  a cornercorner with one N(1)Hf4 tetrahedra,  a cornercorner with one N(10)Hf4 tetrahedra,  a cornercorner with one N(14)Hf4 tetrahedra,  a cornercorner with one N(2)Hf4 tetrahedra,  a cornercorner with one N(6)Hf4 tetrahedra,  a cornercorner with one N(8)Hf4 tetrahedra,  a cornercorner with one N(9)Hf4 tetrahedra,  a cornercorner with one O(7)Hf4 tetrahedra,  a cornercorner with one N(11)Hf4 trigonal pyramid,  a cornercorner with one N(12)Hf4 trigonal pyramid,  a cornercorner with one N(7)Hf4 trigonal pyramid,  a cornercorner with one O(3)Hf4 trigonal pyramid,  an edgeedge with one N(5)Hf4 trigonal pyramid,  an edgeedge with one O(1)Hf4 trigonal pyramid,  an edgeedge with one O(5)Hf4 trigonal pyramid, and  an edgeedge with one O(6)Hf4 trigonal pyramid. In the fourth N site, N(4) is bonded to one Hf(11), one Hf(12), one Hf(15), and one Hf(2) atom to form NHf4 trigonal pyramids that share  a cornercorner with one N(1)Hf4 tetrahedra,  a cornercorner with one N(10)Hf4 tetrahedra,  a cornercorner with one N(14)Hf4 tetrahedra,  a cornercorner with one N(2)Hf4 tetrahedra,  a cornercorner with one N(6)Hf4 tetrahedra,  a cornercorner with one N(8)Hf4 tetrahedra,  a cornercorner with one N(9)Hf4 tetrahedra,  a cornercorner with one O(7)Hf4 tetrahedra,  a cornercorner with one N(11)Hf4 trigonal pyramid,  a cornercorner with one N(12)Hf4 trigonal pyramid,  a cornercorner with one N(7)Hf4 trigonal pyramid,  a cornercorner with one O(3)Hf4 trigonal pyramid,  an edgeedge with one N(15)Hf4 trigonal pyramid,  an edgeedge with one O(1)Hf4 trigonal pyramid,  an edgeedge with one O(4)Hf4 trigonal pyramid, and  an edgeedge with one O(8)Hf4 trigonal pyramid. In the fifth N site, N(5) is bonded to one Hf(1), one Hf(13), one Hf(14), and one Hf(7) atom to form NHf4 trigonal pyramids that share  a cornercorner with one N(2)Hf4 tetrahedra,  a cornercorner with one N(8)Hf4 tetrahedra,  a cornercorner with one N(9)Hf4 tetrahedra,  a cornercorner with one N(11)Hf4 trigonal pyramid,  a cornercorner with one N(13)Hf4 trigonal pyramid,  a cornercorner with one N(15)Hf4 trigonal pyramid,  a cornercorner with one N(7)Hf4 trigonal pyramid,  a cornercorner with one O(1)Hf4 trigonal pyramid,  a cornercorner with one O(2)Hf4 trigonal pyramid,  a cornercorner with one O(3)Hf4 trigonal pyramid,  a cornercorner with one O(5)Hf4 trigonal pyramid,  a cornercorner with one O(6)Hf4 trigonal pyramid,  an edgeedge with one N(1)Hf4 tetrahedra,  an edgeedge with one N(12)Hf4 trigonal pyramid,  an edgeedge with one N(16)Hf4 trigonal pyramid, and  an edgeedge with one N(3)Hf4 trigonal pyramid. In the sixth N site, N(6) is bonded to one Hf(2), one Hf(3), one Hf(6), and one Hf(9) atom to form NHf4 tetrahedra that share  a cornercorner with one N(10)Hf4 tetrahedra,  a cornercorner with one N(14)Hf4 tetrahedra,  a cornercorner with one N(2)Hf4 tetrahedra,  a cornercorner with one N(8)Hf4 tetrahedra,  a cornercorner with one N(9)Hf4 tetrahedra,  a cornercorner with one N(12)Hf4 trigonal pyramid,  a cornercorner with one N(13)Hf4 trigonal pyramid,  a cornercorner with one N(16)Hf4 trigonal pyramid,  a cornercorner with one N(3)Hf4 trigonal pyramid,  a cornercorner with one N(4)Hf4 trigonal pyramid,  a cornercorner with one O(1)Hf4 trigonal pyramid,  a cornercorner with one O(2)Hf4 trigonal pyramid,  an edgeedge with one N(15)Hf4 trigonal pyramid,  an edgeedge with one O(3)Hf4 trigonal pyramid,  an edgeedge with one O(6)Hf4 trigonal pyramid, and  an edgeedge with one O(8)Hf4 trigonal pyramid. In the seventh N site, N(7) is bonded to one Hf(12), one Hf(16), one Hf(4), and one Hf(7) atom to form distorted NHf4 trigonal pyramids that share  a cornercorner with one N(13)Hf4 trigonal pyramid,  a cornercorner with one N(15)Hf4 trigonal pyramid,  a cornercorner with one N(16)Hf4 trigonal pyramid,  a cornercorner with one N(3)Hf4 trigonal pyramid,  a cornercorner with one N(4)Hf4 trigonal pyramid,  a cornercorner with one N(5)Hf4 trigonal pyramid,  a cornercorner with one O(1)Hf4 trigonal pyramid,  a cornercorner with one O(2)Hf4 trigonal pyramid,  a cornercorner with one O(4)Hf4 trigonal pyramid,  a cornercorner with one O(5)Hf4 trigonal pyramid,  a cornercorner with one O(6)Hf4 trigonal pyramid,  a cornercorner with one O(8)Hf4 trigonal pyramid,  an edgeedge with one N(14)Hf4 tetrahedra,  an edgeedge with one N(8)Hf4 tetrahedra,  an edgeedge with one N(9)Hf4 tetrahedra, and  an edgeedge with one O(7)Hf4 tetrahedra. In the eighth N site, N(8) is bonded to one Hf(15), one Hf(16), one Hf(7), and one Hf(9) atom to form NHf4 tetrahedra that share  a cornercorner with one N(1)Hf4 tetrahedra,  a cornercorner with one N(10)Hf4 tetrahedra,  a cornercorner with one N(14)Hf4 tetrahedra,  a cornercorner with one N(6)Hf4 tetrahedra,  a cornercorner with one O(7)Hf4 tetrahedra,  a cornercorner with one N(12)Hf4 trigonal pyramid,  a cornercorner with one N(16)Hf4 trigonal pyramid,  a cornercorner with one N(3)Hf4 trigonal pyramid,  a cornercorner with one N(4)Hf4 trigonal pyramid,  a cornercorner with one N(5)Hf4 trigonal pyramid,  a cornercorner with one O(4)Hf4 trigonal pyramid,  a cornercorner with one O(8)Hf4 trigonal pyramid,  an edgeedge with one N(13)Hf4 trigonal pyramid,  an edgeedge with one N(7)Hf4 trigonal pyramid,  an edgeedge with one O(1)Hf4 trigonal pyramid, and  an edgeedge with one O(6)Hf4 trigonal pyramid. In the ninth N site, N(9) is bonded to one Hf(12), one Hf(13), one Hf(4), and one Hf(6) atom to form NHf4 tetrahedra that share  a cornercorner with one N(1)Hf4 tetrahedra,  a cornercorner with one N(10)Hf4 tetrahedra,  a cornercorner with one N(14)Hf4 tetrahedra,  a cornercorner with one N(6)Hf4 tetrahedra,  a cornercorner with one O(7)Hf4 tetrahedra,  a cornercorner with one N(12)Hf4 trigonal pyramid,  a cornercorner with one N(16)Hf4 trigonal pyramid,  a cornercorner with one N(3)Hf4 trigonal pyramid,  a cornercorner with one N(4)Hf4 trigonal pyramid,  a cornercorner with one N(5)Hf4 trigonal pyramid,  a cornercorner with one O(4)Hf4 trigonal pyramid,  a cornercorner with one O(8)Hf4 trigonal pyramid,  an edgeedge with one N(15)Hf4 trigonal pyramid,  an edgeedge with one N(7)Hf4 trigonal pyramid,  an edgeedge with one O(2)Hf4 trigonal pyramid, and  an edgeedge with one O(5)Hf4 trigonal pyramid. In the tenth N site, N(10) is bonded to one Hf(10), one Hf(15), one Hf(5), and one Hf(6) atom to form NHf4 tetrahedra that share  a cornercorner with one N(1)Hf4 tetrahedra,  a cornercorner with one N(2)Hf4 tetrahedra,  a cornercorner with one N(6)Hf4 tetrahedra,  a cornercorner with one N(8)Hf4 tetrahedra,  a cornercorner with one N(9)Hf4 tetrahedra,  a cornercorner with one O(7)Hf4 tetrahedra,  a cornercorner with one N(15)Hf4 trigonal pyramid,  a cornercorner with one N(16)Hf4 trigonal pyramid,  a cornercorner with one N(3)Hf4 trigonal pyramid,  a cornercorner with one N(4)Hf4 trigonal pyramid,  a cornercorner with one O(5)Hf4 trigonal pyramid,  a cornercorner with one O(6)Hf4 trigonal pyramid,  an edgeedge with one N(11)Hf4 trigonal pyramid,  an edgeedge with one O(1)Hf4 trigonal pyramid,  an edgeedge with one O(2)Hf4 trigonal pyramid, and  an edgeedge with one O(4)Hf4 trigonal pyramid. In the eleventh N site, N(11) is bonded to one Hf(10), one Hf(11), one Hf(14), and one Hf(5) atom to form NHf4 trigonal pyramids that share  a cornercorner with one N(13)Hf4 trigonal pyramid,  a cornercorner with one N(15)Hf4 trigonal pyramid,  a cornercorner with one N(16)Hf4 trigonal pyramid,  a cornercorner with one N(3)Hf4 trigonal pyramid,  a cornercorner with one N(4)Hf4 trigonal pyramid,  a cornercorner with one N(5)Hf4 trigonal pyramid,  a cornercorner with one O(1)Hf4 trigonal pyramid,  a cornercorner with one O(2)Hf4 trigonal pyramid,  a cornercorner with one O(4)Hf4 trigonal pyramid,  a cornercorner with one O(5)Hf4 trigonal pyramid,  a cornercorner with one O(6)Hf4 trigonal pyramid,  a cornercorner with one O(8)Hf4 trigonal pyramid,  an edgeedge with one N(10)Hf4 tetrahedra,  an edgeedge with one N(2)Hf4 tetrahedra,  an edgeedge with one O(7)Hf4 tetrahedra, and  an edgeedge with one N(12)Hf4 trigonal pyramid. In the twelfth N site, N(12) is bonded to one Hf(11), one Hf(13), one Hf(14), and one Hf(9) atom to form NHf4 trigonal pyramids that share  a cornercorner with one N(1)Hf4 tetrahedra,  a cornercorner with one N(2)Hf4 tetrahedra,  a cornercorner with one N(6)Hf4 tetrahedra,  a cornercorner with one N(8)Hf4 tetrahedra,  a cornercorner with one N(9)Hf4 tetrahedra,  a cornercorner with one O(7)Hf4 tetrahedra,  a cornercorner with one N(15)Hf4 trigonal pyramid,  a cornercorner with one N(16)Hf4 trigonal pyramid,  a cornercorner with one N(3)Hf4 trigonal pyramid,  a cornercorner with one N(4)Hf4 trigonal pyramid,  a cornercorner with one O(5)Hf4 trigonal pyramid,  a cornercorner with one O(6)Hf4 trigonal pyramid,  an edgeedge with one N(11)Hf4 trigonal pyramid,  an edgeedge with one N(13)Hf4 trigonal pyramid,  an edgeedge with one N(5)Hf4 trigonal pyramid, and  an edgeedge with one O(8)Hf4 trigonal pyramid. In the thirteenth N site, N(13) is bonded to one Hf(14), one Hf(16), one Hf(8), and one Hf(9) atom to form NHf4 trigonal pyramids that share  a cornercorner with one N(1)Hf4 tetrahedra,  a cornercorner with one N(6)Hf4 tetrahedra,  a cornercorner with one O(7)Hf4 tetrahedra,  a cornercorner with one N(11)Hf4 trigonal pyramid,  a cornercorner with one N(15)Hf4 trigonal pyramid,  a cornercorner with one N(5)Hf4 trigonal pyramid,  a cornercorner with one N(7)Hf4 trigonal pyramid,  a cornercorner with one O(3)Hf4 trigonal pyramid,  a cornercorner with one O(4)Hf4 trigonal pyramid,  a cornercorner with one O(5)Hf4 trigonal pyramid,  a cornercorner with one O(6)Hf4 trigonal pyramid,  a cornercorner with one O(8)Hf4 trigonal pyramid,  an edgeedge with one N(14)Hf4 tetrahedra,  an edgeedge with one N(8)Hf4 tetrahedra,  an edgeedge with one N(12)Hf4 trigonal pyramid, and  an edgeedge with one N(16)Hf4 trigonal pyramid. In the fourteenth N site, N(14) is bonded to one Hf(12), one Hf(16), one Hf(3), and one Hf(8) atom to form NHf4 tetrahedra that share  a cornercorner with one N(1)Hf4 tetrahedra,  a cornercorner with one N(2)Hf4 tetrahedra,  a cornercorner with one N(6)Hf4 tetrahedra,  a cornercorner with one N(8)Hf4 tetrahedra,  a cornercorner with one N(9)Hf4 tetrahedra,  a cornercorner with one O(7)Hf4 tetrahedra,  a cornercorner with one N(15)Hf4 trigonal pyramid,  a cornercorner with one N(16)Hf4 trigonal pyramid,  a cornercorner with one N(3)Hf4 trigonal pyramid,  a cornercorner with one N(4)Hf4 trigonal pyramid,  a cornercorner with one O(5)Hf4 trigonal pyramid,  a cornercorner with one O(6)Hf4 trigonal pyramid,  an edgeedge with one N(13)Hf4 trigonal pyramid,  an edgeedge with one N(7)Hf4 trigonal pyramid,  an edgeedge with one O(3)Hf4 trigonal pyramid, and  an edgeedge with one O(4)Hf4 trigonal pyramid. In the fifteenth N site, N(15) is bonded to one Hf(12), one Hf(14), one Hf(2), and one Hf(6) atom to form NHf4 trigonal pyramids that share  a cornercorner with one N(10)Hf4 tetrahedra,  a cornercorner with one N(14)Hf4 tetrahedra,  a cornercorner with one N(11)Hf4 trigonal pyramid,  a cornercorner with one N(12)Hf4 trigonal pyramid,  a cornercorner with one N(13)Hf4 trigonal pyramid,  a cornercorner with one N(5)Hf4 trigonal pyramid,  a cornercorner with one N(7)Hf4 trigonal pyramid,  a cornercorner with one O(1)Hf4 trigonal pyramid,  a cornercorner with one O(2)Hf4 trigonal pyramid,  a cornercorner with one O(3)Hf4 trigonal pyramid,  a cornercorner with one O(4)Hf4 trigonal pyramid,  a cornercorner with one O(8)Hf4 trigonal pyramid,  an edgeedge with one N(6)Hf4 tetrahedra,  an edgeedge with one N(9)Hf4 tetrahedra,  an edgeedge with one N(16)Hf4 trigonal pyramid, and  an edgeedge with one N(4)Hf4 trigonal pyramid. In the sixteenth N site, N(16) is bonded to one Hf(1), one Hf(14), one Hf(16), and one Hf(6) atom to form NHf4 trigonal pyramids that share  a cornercorner with one N(1)Hf4 tetrahedra,  a cornercorner with one N(10)Hf4 tetrahedra,  a cornercorner with one N(14)Hf4 tetrahedra,  a cornercorner with one N(2)Hf4 tetrahedra,  a cornercorner with one N(6)Hf4 tetrahedra,  a cornercorner with one N(8)Hf4 tetrahedra,  a cornercorner with one N(9)Hf4 tetrahedra,  a cornercorner with one O(7)Hf4 tetrahedra,  a cornercorner with one N(11)Hf4 trigonal pyramid,  a cornercorner with one N(12)Hf4 trigonal pyramid,  a cornercorner with one N(7)Hf4 trigonal pyramid,  a cornercorner with one O(3)Hf4 trigonal pyramid,  an edgeedge with one N(13)Hf4 trigonal pyramid,  an edgeedge with one N(15)Hf4 trigonal pyramid,  an edgeedge with one N(5)Hf4 trigonal pyramid, and  an edgeedge with one O(2)Hf4 trigonal pyramid. There are eight inequivalent O sites. In the first O site, O(1) is bonded to one Hf(10), one Hf(15), one Hf(2), and one Hf(7) atom to form OHf4 trigonal pyramids that share  a cornercorner with one N(1)Hf4 tetrahedra,  a cornercorner with one N(6)Hf4 tetrahedra,  a cornercorner with one O(7)Hf4 tetrahedra,  a cornercorner with one N(11)Hf4 trigonal pyramid,  a cornercorner with one N(15)Hf4 trigonal pyramid,  a cornercorner with one N(5)Hf4 trigonal pyramid,  a cornercorner with one N(7)Hf4 trigonal pyramid,  a cornercorner with one O(3)Hf4 trigonal pyramid,  a cornercorner with one O(4)Hf4 trigonal pyramid,  a cornercorner with one O(5)Hf4 trigonal pyramid,  a cornercorner with one O(6)Hf4 trigonal pyramid,  a cornercorner with one O(8)Hf4 trigonal pyramid,  an edgeedge with one N(10)Hf4 tetrahedra,  an edgeedge with one N(8)Hf4 tetrahedra,  an edgeedge with one N(3)Hf4 trigonal pyramid, and  an edgeedge with one N(4)Hf4 trigonal pyramid. In the second O site, O(2) is bonded to one Hf(1), one Hf(4), one Hf(5), and one Hf(6) atom to form OHf4 trigonal pyramids that share  a cornercorner with one N(1)Hf4 tetrahedra,  a cornercorner with one N(6)Hf4 tetrahedra,  a cornercorner with one O(7)Hf4 tetrahedra,  a cornercorner with one N(11)Hf4 trigonal pyramid,  a cornercorner with one N(15)Hf4 trigonal pyramid,  a cornercorner with one N(5)Hf4 trigonal pyramid,  a cornercorner with one N(7)Hf4 trigonal pyramid,  a cornercorner with one O(3)Hf4 trigonal pyramid,  a cornercorner with one O(4)Hf4 trigonal pyramid,  a cornercorner with one O(5)Hf4 trigonal pyramid,  a cornercorner with one O(6)Hf4 trigonal pyramid,  a cornercorner with one O(8)Hf4 trigonal pyramid,  an edgeedge with one N(10)Hf4 tetrahedra,  an edgeedge with one N(2)Hf4 tetrahedra,  an edgeedge with one N(9)Hf4 tetrahedra, and  an edgeedge with one N(16)Hf4 trigonal pyramid. In the third O site, O(3) is bonded to one Hf(1), one Hf(2), one Hf(3), and one Hf(8) atom to form OHf4 trigonal pyramids that share  a cornercorner with one N(13)Hf4 trigonal pyramid,  a cornercorner with one N(15)Hf4 trigonal pyramid,  a cornercorner with one N(16)Hf4 trigonal pyramid,  a cornercorner with one N(3)Hf4 trigonal pyramid,  a cornercorner with one N(4)Hf4 trigonal pyramid,  a cornercorner with one N(5)Hf4 trigonal pyramid,  a cornercorner with one O(1)Hf4 trigonal pyramid,  a cornercorner with one O(2)Hf4 trigonal pyramid,  a cornercorner with one O(4)Hf4 trigonal pyramid,  a cornercorner with one O(5)Hf4 trigonal pyramid,  a cornercorner with one O(6)Hf4 trigonal pyramid,  a cornercorner with one O(8)Hf4 trigonal pyramid,  an edgeedge with one N(1)Hf4 tetrahedra,  an edgeedge with one N(14)Hf4 tetrahedra,  an edgeedge with one N(2)Hf4 tetrahedra, and  an edgeedge with one N(6)Hf4 tetrahedra. In the fourth O site, O(4) is bonded to one Hf(12), one Hf(15), one Hf(5), and one Hf(8) atom to form OHf4 trigonal pyramids that share  a cornercorner with one N(2)Hf4 tetrahedra,  a cornercorner with one N(8)Hf4 tetrahedra,  a cornercorner with one N(9)Hf4 tetrahedra,  a cornercorner with one N(11)Hf4 trigonal pyramid,  a cornercorner with one N(13)Hf4 trigonal pyramid,  a cornercorner with one N(15)Hf4 trigonal pyramid,  a cornercorner with one N(7)Hf4 trigonal pyramid,  a cornercorner with one O(1)Hf4 trigonal pyramid,  a cornercorner with one O(2)Hf4 trigonal pyramid,  a cornercorner with one O(3)Hf4 trigonal pyramid,  a cornercorner with one O(5)Hf4 trigonal pyramid,  a cornercorner with one O(6)Hf4 trigonal pyramid,  an edgeedge with one N(1)Hf4 tetrahedra,  an edgeedge with one N(10)Hf4 tetrahedra,  an edgeedge with one N(14)Hf4 tetrahedra, and  an edgeedge with one N(4)Hf4 trigonal pyramid. In the fifth O site, O(5) is bonded to one Hf(10), one Hf(13), one Hf(4), and one Hf(8) atom to form OHf4 trigonal pyramids that share  a cornercorner with one N(10)Hf4 tetrahedra,  a cornercorner with one N(14)Hf4 tetrahedra,  a cornercorner with one N(11)Hf4 trigonal pyramid,  a cornercorner with one N(12)Hf4 trigonal pyramid,  a cornercorner with one N(13)Hf4 trigonal pyramid,  a cornercorner with one N(5)Hf4 trigonal pyramid,  a cornercorner with one N(7)Hf4 trigonal pyramid,  a cornercorner with one O(1)Hf4 trigonal pyramid,  a cornercorner with one O(2)Hf4 trigonal pyramid,  a cornercorner with one O(3)Hf4 trigonal pyramid,  a cornercorner with one O(4)Hf4 trigonal pyramid,  a cornercorner with one O(8)Hf4 trigonal pyramid,  an edgeedge with one N(1)Hf4 tetrahedra,  an edgeedge with one N(9)Hf4 tetrahedra,  an edgeedge with one O(7)Hf4 tetrahedra, and  an edgeedge with one N(3)Hf4 trigonal pyramid. In the sixth O site, O(6) is bonded to one Hf(3), one Hf(5), one Hf(7), and one Hf(9) atom to form OHf4 trigonal pyramids that share  a cornercorner with one N(10)Hf4 tetrahedra,  a cornercorner with one N(14)Hf4 tetrahedra,  a cornercorner with one N(11)Hf4 trigonal pyramid,  a cornercorner with one N(12)Hf4 trigonal pyramid,  a cornercorner with one N(13)Hf4 trigonal pyramid,  a cornercorner with one N(5)Hf4 trigonal pyramid,  a cornercorner with one N(7)Hf4 trigonal pyramid,  a cornercorner with one O(1)Hf4 trigonal pyramid,  a cornercorner with one O(2)Hf4 trigonal pyramid,  a cornercorner with one O(3)Hf4 trigonal pyramid,  a cornercorner with one O(4)Hf4 trigonal pyramid,  a cornercorner with one O(8)Hf4 trigonal pyramid,  an edgeedge with one N(2)Hf4 tetrahedra,  an edgeedge with one N(6)Hf4 tetrahedra,  an edgeedge with one N(8)Hf4 tetrahedra, and  an edgeedge with one N(3)Hf4 trigonal pyramid. In the seventh O site, O(7) is bonded to one Hf(10), one Hf(11), one Hf(16), and one Hf(4) atom to form OHf4 tetrahedra that share  a cornercorner with one N(10)Hf4 tetrahedra,  a cornercorner with one N(14)Hf4 tetrahedra,  a cornercorner with one N(2)Hf4 tetrahedra,  a cornercorner with one N(8)Hf4 tetrahedra,  a cornercorner with one N(9)Hf4 tetrahedra,  a cornercorner with one N(12)Hf4 trigonal pyramid,  a cornercorner with one N(13)Hf4 trigonal pyramid,  a cornercorner with one N(16)Hf4 trigonal pyramid,  a cornercorner with one N(3)Hf4 trigonal pyramid,  a cornercorner with one N(4)Hf4 trigonal pyramid,  a cornercorner with one O(1)Hf4 trigonal pyramid,  a cornercorner with one O(2)Hf4 trigonal pyramid,  an edgeedge with one N(11)Hf4 trigonal pyramid,  an edgeedge with one N(7)Hf4 trigonal pyramid,  an edgeedge with one O(5)Hf4 trigonal pyramid, and  an edgeedge with one O(8)Hf4 trigonal pyramid. In the eighth O site, O(8) is bonded to one Hf(11), one Hf(2), one Hf(4), and one Hf(9) atom to form OHf4 trigonal pyramids that share  a cornercorner with one N(2)Hf4 tetrahedra,  a cornercorner with one N(8)Hf4 tetrahedra,  a cornercorner with one N(9)Hf4 tetrahedra,  a cornercorner with one N(11)Hf4 trigonal pyramid,  a cornercorner with one N(13)Hf4 trigonal pyramid,  a cornercorner with one N(15)Hf4 trigonal pyramid,  a cornercorner with one N(7)Hf4 trigonal pyramid,  a cornercorner with one O(1)Hf4 trigonal pyramid,  a cornercorner with one O(2)Hf4 trigonal pyramid,  a cornercorner with one O(3)Hf4 trigonal pyramid,  a cornercorner with one O(5)Hf4 trigonal pyramid,  a cornercorner with one O(6)Hf4 trigonal pyramid,  an edgeedge with one N(6)Hf4 tetrahedra,  an edgeedge with one O(7)Hf4 tetrahedra,  an edgeedge with one N(12)Hf4 trigonal pyramid, and  an edgeedge with one N(4)Hf4 trigonal pyramid. is represented by the Crystallographic Information File (CIF) [CIF]
data_Hf2N2O
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.665
_cell_length_b   8.665
_cell_length_c   8.671
_cell_angle_alpha   109.447
_cell_angle_beta   109.553
_cell_angle_gamma   109.207
_symmetry_Int_Tables_number   1
_cell_volume   502.398
_cell_formula_units_Z   8
loop_
 _symmetry_equiv_pos_site_id
 _symmetry_equiv_pos_as_xyz
  1  'x, y, z'
loop_
 _atom_site_type_symbol
 _atom_site_label
 _atom_site_symmetry_multiplicity
 _atom_site_fract_x
 _atom_site_fract_y
 _atom_site_fract_z
 _atom_site_occupancy
  Hf  Hf0  1  0.489  0.491  0.501  1.0
  Hf  Hf1  1  0.788  0.536  0.243  1.0
  Hf  Hf2  1  0.530  0.750  0.280  1.0
  Hf  Hf3  1  0.031  0.744  0.789  1.0
  Hf  Hf4  1  0.705  0.964  0.749  1.0
  Hf  Hf5  1  0.747  0.715  0.973  1.0
  Hf  Hf6  1  0.748  0.216  0.467  1.0
  Hf  Hf7  1  0.251  0.291  0.033  1.0
  Hf  Hf8  1  0.008  0.006  0.496  1.0
  Hf  Hf9  1  0.508  0.998  0.001  1.0
  Hf  Hf10  1  0.256  0.787  0.531  1.0
  Hf  Hf11  1  0.001  0.511  0.003  1.0
  Hf  Hf12  1  0.289  0.036  0.255  1.0
  Hf  Hf13  1  0.466  0.251  0.716  1.0
  Hf  Hf14  1  0.974  0.250  0.220  1.0
  Hf  Hf15  1  0.213  0.456  0.750  1.0
  N  N16  1  0.228  0.262  0.266  1.0
  N  N17  1  0.461  0.730  0.489  1.0
  N  N18  1  0.493  0.957  0.227  1.0
  N  N19  1  0.042  0.530  0.275  1.0
  N  N20  1  0.547  0.276  0.514  1.0
  N  N21  1  0.760  0.770  0.233  1.0
  N  N22  1  0.956  0.470  0.727  1.0
  N  N23  1  0.005  0.234  0.461  1.0
  N  N24  1  0.032  0.774  0.042  1.0
  N  N25  1  0.741  0.969  0.010  1.0
  N  N26  1  0.512  0.045  0.775  1.0
  N  N27  1  0.223  0.982  0.450  1.0
  N  N28  1  0.234  0.222  0.771  1.0
  N  N29  1  0.273  0.542  0.038  1.0
  N  N30  1  0.727  0.452  0.968  1.0
  N  N31  1  0.464  0.519  0.738  1.0
  O  O32  1  0.717  0.272  0.235  1.0
  O  O33  1  0.774  0.737  0.720  1.0
  O  O34  1  0.536  0.480  0.259  1.0
  O  O35  1  0.965  0.223  0.945  1.0
  O  O36  1  0.264  0.033  0.986  1.0
  O  O37  1  0.778  0.020  0.555  1.0
  O  O38  1  0.272  0.734  0.766  1.0
  O  O39  1  0.990  0.764  0.541  1.0
[/CIF]
.