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(14), one N(3), one N(5), one O(3), and one O(6) atom to form distorted HfN4O2 octahedra that share  a cornercorner with one Hf(15)N3O3 octahedra,  a cornercorner with one Hf(5)N3O3 octahedra,  a cornercorner with one Hf(13)N4O2 octahedra,  a cornercorner with one Hf(8)N4O2 octahedra,  a cornercorner with one Hf(9)N4O2 octahedra,  a cornercorner with one Hf(14)N5O octahedra,  an edgeedge with one Hf(2)N4O2 octahedra,  an edgeedge with one Hf(3)N4O2 octahedra,  an edgeedge with one Hf(4)N4O2 octahedra,  an edgeedge with one Hf(6)N4O2 octahedra,  an edgeedge with one Hf(7)N4O2 octahedra, and  an edgeedge with one Hf(12)N5O octahedra. The corner-sharing octahedral tilt angles range from 51-54°. In the second Hf site, Hf(2) is bonded to one N(1), one N(14), one N(15), one N(6), one O(2), and one O(8) atom to form HfN4O2 octahedra that share  a cornercorner with one Hf(11)N3O3 octahedra,  a cornercorner with one Hf(15)N3O3 octahedra,  a cornercorner with one Hf(5)N3O3 octahedra,  a cornercorner with one Hf(10)N4O2 octahedra,  a cornercorner with one Hf(3)N4O2 octahedra,  a cornercorner with one Hf(12)N5O octahedra,  an edgeedge with one Hf(1)N4O2 octahedra,  an edgeedge with one Hf(13)N4O2 octahedra,  an edgeedge with one Hf(4)N4O2 octahedra,  an edgeedge with one Hf(6)N4O2 octahedra,  an edgeedge with one Hf(14)N5O octahedra, and  an edgeedge with one Hf(16)N5O octahedra. The corner-sharing octahedral tilt angles range from 51-58°. In the third Hf site, Hf(3) is bonded to one N(12), one N(14), one N(3), one N(7), one O(1), and one O(7) atom to form distorted HfN4O2 octahedra that share  a cornercorner with one Hf(10)N4O2 octahedra,  a cornercorner with one Hf(2)N4O2 octahedra,  a cornercorner with one Hf(6)N4O2 octahedra,  a cornercorner with one Hf(9)N4O2 octahedra,  a cornercorner with one Hf(12)N5O octahedra,  a cornercorner with one Hf(16)N5O octahedra,  an edgeedge with one Hf(11)N3O3 octahedra,  an edgeedge with one Hf(5)N3O3 octahedra,  an edgeedge with one Hf(1)N4O2 octahedra,  an edgeedge with one Hf(13)N4O2 octahedra,  an edgeedge with one Hf(7)N4O2 octahedra, and  an edgeedge with one Hf(8)N4O2 octahedra. The corner-sharing octahedral tilt angles range from 53-57°. In the fourth Hf site, Hf(4) is bonded to one N(1), one N(2), one N(4), one N(6), one O(3), and one O(5) atom to form distorted HfN4O2 octahedra that share  a cornercorner with one Hf(10)N4O2 octahedra,  a cornercorner with one Hf(6)N4O2 octahedra,  a cornercorner with one Hf(7)N4O2 octahedra,  a cornercorner with one Hf(8)N4O2 octahedra,  a cornercorner with one Hf(12)N5O octahedra,  a cornercorner with one Hf(16)N5O octahedra,  an edgeedge with one Hf(11)N3O3 octahedra,  an edgeedge with one Hf(5)N3O3 octahedra,  an edgeedge with one Hf(1)N4O2 octahedra,  an edgeedge with one Hf(13)N4O2 octahedra,  an edgeedge with one Hf(2)N4O2 octahedra, and  an edgeedge with one Hf(9)N4O2 octahedra. The corner-sharing octahedral tilt angles range from 53-58°. In the fifth Hf site, Hf(5) is bonded to one N(1), one N(13), one N(4), one O(1), one O(4), and one O(7) atom to form distorted HfN3O3 octahedra that share  a cornercorner with one Hf(11)N3O3 octahedra,  a cornercorner with one Hf(15)N3O3 octahedra,  a cornercorner with one Hf(1)N4O2 octahedra,  a cornercorner with one Hf(2)N4O2 octahedra,  a cornercorner with one Hf(8)N4O2 octahedra,  a cornercorner with one Hf(14)N5O octahedra,  an edgeedge with one Hf(10)N4O2 octahedra,  an edgeedge with one Hf(3)N4O2 octahedra,  an edgeedge with one Hf(4)N4O2 octahedra,  an edgeedge with one Hf(7)N4O2 octahedra,  an edgeedge with one Hf(9)N4O2 octahedra, and  an edgeedge with one Hf(16)N5O octahedra. The corner-sharing octahedral tilt angles range from 51-56°. In the sixth Hf site, Hf(6) is bonded to one N(10), one N(14), one N(2), one N(9), one O(6), and one O(8) atom to form distorted HfN4O2 octahedra that share  a cornercorner with one Hf(10)N4O2 octahedra,  a cornercorner with one Hf(3)N4O2 octahedra,  a cornercorner with one Hf(4)N4O2 octahedra,  a cornercorner with one Hf(7)N4O2 octahedra,  a cornercorner with one Hf(9)N4O2 octahedra,  a cornercorner with one Hf(16)N5O octahedra,  an edgeedge with one Hf(11)N3O3 octahedra,  an edgeedge with one Hf(15)N3O3 octahedra,  an edgeedge with one Hf(1)N4O2 octahedra,  an edgeedge with one Hf(2)N4O2 octahedra,  an edgeedge with one Hf(8)N4O2 octahedra, and  an edgeedge with one Hf(14)N5O octahedra. The corner-sharing octahedral tilt angles range from 54-57°. In the seventh Hf site, Hf(7) is bonded to one N(13), one N(3), one N(8), one N(9), one O(3), and one O(7) atom to form HfN4O2 octahedra that share  a cornercorner with one Hf(11)N3O3 octahedra,  a cornercorner with one Hf(10)N4O2 octahedra,  a cornercorner with one Hf(13)N4O2 octahedra,  a cornercorner with one Hf(4)N4O2 octahedra,  a cornercorner with one Hf(6)N4O2 octahedra,  a cornercorner with one Hf(14)N5O octahedra,  an edgeedge with one Hf(15)N3O3 octahedra,  an edgeedge with one Hf(5)N3O3 octahedra,  an edgeedge with one Hf(1)N4O2 octahedra,  an edgeedge with one Hf(3)N4O2 octahedra,  an edgeedge with one Hf(12)N5O octahedra, and  an edgeedge with one Hf(16)N5O octahedra. The corner-sharing octahedral tilt angles range from 53-58°. In the eighth Hf site, Hf(8) is bonded to one N(11), one N(16), one N(2), one N(7), one O(1), and one O(6) atom to form HfN4O2 octahedra that share  a cornercorner with one Hf(5)N3O3 octahedra,  a cornercorner with one Hf(1)N4O2 octahedra,  a cornercorner with one Hf(4)N4O2 octahedra,  a cornercorner with one Hf(12)N5O octahedra,  a cornercorner with one Hf(14)N5O octahedra,  a cornercorner with one Hf(16)N5O octahedra,  an edgeedge with one Hf(11)N3O3 octahedra,  an edgeedge with one Hf(15)N3O3 octahedra,  an edgeedge with one Hf(10)N4O2 octahedra,  an edgeedge with one Hf(13)N4O2 octahedra,  an edgeedge with one Hf(3)N4O2 octahedra, and  an edgeedge with one Hf(6)N4O2 octahedra. The corner-sharing octahedral tilt angles range from 53-58°. In the ninth Hf site, Hf(9) is bonded to one N(10), one N(12), one N(4), one N(5), one O(4), and one O(5) atom to form HfN4O2 octahedra that share  a cornercorner with one Hf(15)N3O3 octahedra,  a cornercorner with one Hf(1)N4O2 octahedra,  a cornercorner with one Hf(13)N4O2 octahedra,  a cornercorner with one Hf(3)N4O2 octahedra,  a cornercorner with one Hf(6)N4O2 octahedra,  a cornercorner with one Hf(16)N5O octahedra,  an edgeedge with one Hf(11)N3O3 octahedra,  an edgeedge with one Hf(5)N3O3 octahedra,  an edgeedge with one Hf(10)N4O2 octahedra,  an edgeedge with one Hf(4)N4O2 octahedra,  an edgeedge with one Hf(12)N5O octahedra, and  an edgeedge with one Hf(14)N5O octahedra. The corner-sharing octahedral tilt angles range from 51-57°. In the tenth Hf site, Hf(10) is bonded to one N(10), one N(11), one N(16), one N(6), one O(4), and one O(7) atom to form distorted HfN4O2 octahedra that share  a cornercorner with one Hf(2)N4O2 octahedra,  a cornercorner with one Hf(3)N4O2 octahedra,  a cornercorner with one Hf(4)N4O2 octahedra,  a cornercorner with one Hf(6)N4O2 octahedra,  a cornercorner with one Hf(7)N4O2 octahedra,  a cornercorner with one Hf(12)N5O octahedra,  an edgeedge with one Hf(15)N3O3 octahedra,  an edgeedge with one Hf(5)N3O3 octahedra,  an edgeedge with one Hf(13)N4O2 octahedra,  an edgeedge with one Hf(8)N4O2 octahedra,  an edgeedge with one Hf(9)N4O2 octahedra, and  an edgeedge with one Hf(14)N5O octahedra. The corner-sharing octahedral tilt angles range from 53-56°. In the eleventh Hf site, Hf(11) is bonded to one N(12), one N(2), one N(8), one O(1), one O(5), and one O(8) atom to form distorted HfN3O3 octahedra that share  a cornercorner with one Hf(15)N3O3 octahedra,  a cornercorner with one Hf(5)N3O3 octahedra,  a cornercorner with one Hf(13)N4O2 octahedra,  a cornercorner with one Hf(2)N4O2 octahedra,  a cornercorner with one Hf(7)N4O2 octahedra,  a cornercorner with one Hf(14)N5O octahedra,  an edgeedge with one Hf(3)N4O2 octahedra,  an edgeedge with one Hf(4)N4O2 octahedra,  an edgeedge with one Hf(6)N4O2 octahedra,  an edgeedge with one Hf(8)N4O2 octahedra,  an edgeedge with one Hf(9)N4O2 octahedra, and  an edgeedge with one Hf(12)N5O octahedra. The corner-sharing octahedral tilt angles range from 51-54°. In the twelfth Hf site, Hf(12) is bonded to one N(12), one N(15), one N(16), one N(5), one N(8), and one O(3) atom to form distorted HfN5O octahedra that share  a cornercorner with one Hf(10)N4O2 octahedra,  a cornercorner with one Hf(2)N4O2 octahedra,  a cornercorner with one Hf(3)N4O2 octahedra,  a cornercorner with one Hf(4)N4O2 octahedra,  a cornercorner with one Hf(8)N4O2 octahedra,  a cornercorner with one Hf(16)N5O octahedra,  an edgeedge with one Hf(11)N3O3 octahedra,  an edgeedge with one Hf(15)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, and  an edgeedge with one Hf(14)N5O octahedra. The corner-sharing octahedral tilt angles range from 53-58°. In the thirteenth Hf site, Hf(13) is bonded to one N(11), one N(3), one N(6), one N(7), one O(2), and one O(5) atom to form distorted HfN4O2 octahedra that share  a cornercorner with one Hf(11)N3O3 octahedra,  a cornercorner with one Hf(15)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(14)N5O octahedra,  an edgeedge with one Hf(10)N4O2 octahedra,  an edgeedge with one Hf(2)N4O2 octahedra,  an edgeedge with one Hf(3)N4O2 octahedra,  an edgeedge with one Hf(4)N4O2 octahedra,  an edgeedge with one Hf(8)N4O2 octahedra, and  an edgeedge with one Hf(16)N5O octahedra. The corner-sharing octahedral tilt angles range from 50-58°. In the fourteenth Hf site, Hf(14) is bonded to one N(10), one N(11), one N(13), one N(15), one N(5), and one O(8) atom to form distorted HfN5O octahedra that share  a cornercorner with one Hf(11)N3O3 octahedra,  a cornercorner with one Hf(5)N3O3 octahedra,  a cornercorner with one Hf(1)N4O2 octahedra,  a cornercorner with one Hf(13)N4O2 octahedra,  a cornercorner with one Hf(7)N4O2 octahedra,  a cornercorner with one Hf(8)N4O2 octahedra,  an edgeedge with one Hf(10)N4O2 octahedra,  an edgeedge with one Hf(2)N4O2 octahedra,  an edgeedge with one Hf(6)N4O2 octahedra,  an edgeedge with one Hf(9)N4O2 octahedra,  an edgeedge with one Hf(12)N5O octahedra, and  an edgeedge with one Hf(16)N5O octahedra. The corner-sharing octahedral tilt angles range from 52-56°. In the fifteenth Hf site, Hf(15) is bonded to one N(16), one N(8), one N(9), one O(2), one O(4), and one O(6) atom to form distorted HfN3O3 octahedra that share  a cornercorner with one Hf(11)N3O3 octahedra,  a cornercorner with one Hf(5)N3O3 octahedra,  a cornercorner with one Hf(1)N4O2 octahedra,  a cornercorner with one Hf(13)N4O2 octahedra,  a cornercorner with one Hf(2)N4O2 octahedra,  a cornercorner with one Hf(9)N4O2 octahedra,  an edgeedge with one Hf(10)N4O2 octahedra,  an edgeedge with one Hf(6)N4O2 octahedra,  an edgeedge with one Hf(7)N4O2 octahedra,  an edgeedge with one Hf(8)N4O2 octahedra,  an edgeedge with one Hf(12)N5O octahedra, and  an edgeedge with one Hf(16)N5O octahedra. The corner-sharing octahedral tilt angles range from 50-54°. In the sixteenth Hf site, Hf(16) is bonded to one N(13), one N(15), one N(4), one N(7), one N(9), and one O(2) atom to form distorted HfN5O octahedra that share  a cornercorner with one Hf(3)N4O2 octahedra,  a cornercorner with one Hf(4)N4O2 octahedra,  a cornercorner with one Hf(6)N4O2 octahedra,  a cornercorner with one Hf(8)N4O2 octahedra,  a cornercorner with one Hf(9)N4O2 octahedra,  a cornercorner with one Hf(12)N5O octahedra,  an edgeedge with one Hf(15)N3O3 octahedra,  an edgeedge with one Hf(5)N3O3 octahedra,  an edgeedge with one Hf(13)N4O2 octahedra,  an edgeedge with one Hf(2)N4O2 octahedra,  an edgeedge with one Hf(7)N4O2 octahedra, and  an edgeedge with one Hf(14)N5O octahedra. The corner-sharing octahedral tilt angles range from 54-58°. There are sixteen inequivalent N sites. In the first N site, N(1) is bonded to one Hf(1), one Hf(2), one Hf(4), 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(2)Hf4 trigonal pyramid,  a cornercorner with one N(3)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(7)Hf4 trigonal pyramid,  a cornercorner with one O(8)Hf4 trigonal pyramid,  an edgeedge with one N(14)Hf4 trigonal pyramid,  an edgeedge with one N(4)Hf4 trigonal pyramid,  an edgeedge with one N(6)Hf4 trigonal pyramid, and  an edgeedge with one O(3)Hf4 trigonal pyramid. In the second N site, N(2) is bonded to one Hf(11), one Hf(4), one Hf(6), and one Hf(8) atom to form NHf4 trigonal pyramids that share  a cornercorner with one N(12)Hf4 tetrahedra,  a cornercorner with one N(16)Hf4 tetrahedra,  a cornercorner with one N(9)Hf4 tetrahedra,  a cornercorner with one N(1)Hf4 trigonal pyramid,  a cornercorner with one N(10)Hf4 trigonal pyramid,  a cornercorner with one N(11)Hf4 trigonal pyramid,  a cornercorner with one N(14)Hf4 trigonal pyramid,  a cornercorner with one N(4)Hf4 trigonal pyramid,  a cornercorner with one N(6)Hf4 trigonal pyramid,  a cornercorner with one N(7)Hf4 trigonal pyramid,  a cornercorner with one N(8)Hf4 trigonal pyramid,  a cornercorner with one O(3)Hf4 trigonal pyramid,  an edgeedge with one O(1)Hf4 trigonal pyramid,  an edgeedge with one O(5)Hf4 trigonal pyramid,  an edgeedge with one O(6)Hf4 trigonal pyramid, and  an edgeedge with one O(8)Hf4 trigonal pyramid. In the third N site, N(3) is bonded to one Hf(1), one Hf(13), one Hf(3), and one Hf(7) atom to form NHf4 trigonal pyramids that share  a cornercorner with one N(12)Hf4 tetrahedra,  a cornercorner with one N(9)Hf4 tetrahedra,  a cornercorner with one N(1)Hf4 trigonal pyramid,  a cornercorner with one N(11)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(6)Hf4 trigonal pyramid,  a cornercorner with one N(8)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(5)Hf4 trigonal pyramid,  a cornercorner with one O(6)Hf4 trigonal pyramid,  an edgeedge with one N(14)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(7)Hf4 trigonal pyramid. In the fourth N site, N(4) is bonded to one Hf(16), one Hf(4), one Hf(5), and one Hf(9) atom to form NHf4 trigonal pyramids that share  a cornercorner with one N(12)Hf4 tetrahedra,  a cornercorner with one N(9)Hf4 tetrahedra,  a cornercorner with one N(10)Hf4 trigonal pyramid,  a cornercorner with one N(15)Hf4 trigonal pyramid,  a cornercorner with one N(2)Hf4 trigonal pyramid,  a cornercorner with one N(5)Hf4 trigonal pyramid,  a cornercorner with one N(6)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(7)Hf4 trigonal pyramid,  an edgeedge with one N(1)Hf4 trigonal pyramid,  an edgeedge with one N(13)Hf4 trigonal pyramid,  an edgeedge with one O(4)Hf4 trigonal pyramid, and  an edgeedge with one O(5)Hf4 trigonal pyramid. In the fifth N site, N(5) is bonded to one Hf(1), one Hf(12), one Hf(14), and one Hf(9) atom to form NHf4 trigonal pyramids that share  a cornercorner with one N(16)Hf4 tetrahedra,  a cornercorner with one N(1)Hf4 trigonal pyramid,  a cornercorner with one N(11)Hf4 trigonal pyramid,  a cornercorner with one N(13)Hf4 trigonal pyramid,  a cornercorner with one N(14)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(8)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(12)Hf4 tetrahedra,  an edgeedge with one N(10)Hf4 trigonal pyramid,  an edgeedge with one N(15)Hf4 trigonal pyramid, and  an edgeedge with one O(3)Hf4 trigonal pyramid. In the sixth N site, N(6) is bonded to one Hf(10), one Hf(13), one Hf(2), and one Hf(4) atom to form NHf4 trigonal pyramids that share  a cornercorner with one N(16)Hf4 tetrahedra,  a cornercorner with one N(10)Hf4 trigonal pyramid,  a cornercorner with one N(14)Hf4 trigonal pyramid,  a cornercorner with one N(15)Hf4 trigonal pyramid,  a cornercorner with one N(2)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(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(7)Hf4 trigonal pyramid,  a cornercorner with one O(8)Hf4 trigonal pyramid,  an edgeedge with one N(1)Hf4 trigonal pyramid,  an edgeedge with one N(11)Hf4 trigonal pyramid,  an edgeedge with one O(2)Hf4 trigonal pyramid, and  an edgeedge with one O(5)Hf4 trigonal pyramid. In the seventh N site, N(7) is bonded to one Hf(13), one Hf(16), one Hf(3), and one Hf(8) atom to form NHf4 trigonal pyramids that share  a cornercorner with one N(12)Hf4 tetrahedra,  a cornercorner with one N(16)Hf4 tetrahedra,  a cornercorner with one N(9)Hf4 tetrahedra,  a cornercorner with one N(13)Hf4 trigonal pyramid,  a cornercorner with one N(14)Hf4 trigonal pyramid,  a cornercorner with one N(15)Hf4 trigonal pyramid,  a cornercorner with one N(2)Hf4 trigonal pyramid,  a cornercorner with one N(4)Hf4 trigonal pyramid,  a cornercorner with one N(6)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(7)Hf4 trigonal pyramid,  an edgeedge with one N(11)Hf4 trigonal pyramid,  an edgeedge with one N(3)Hf4 trigonal pyramid,  an edgeedge with one O(1)Hf4 trigonal pyramid, and  an edgeedge with one O(2)Hf4 trigonal pyramid. In the eighth N site, N(8) is bonded to one Hf(11), one Hf(12), one Hf(15), and one Hf(7) 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(2)Hf4 trigonal pyramid,  a cornercorner with one N(3)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(7)Hf4 trigonal pyramid,  a cornercorner with one O(8)Hf4 trigonal pyramid,  an edgeedge with one N(12)Hf4 tetrahedra,  an edgeedge with one N(16)Hf4 tetrahedra,  an edgeedge with one N(9)Hf4 tetrahedra, and  an edgeedge with one O(3)Hf4 trigonal pyramid. In the ninth N site, N(9) is bonded to one Hf(15), one Hf(16), one Hf(6), and one Hf(7) atom to form NHf4 tetrahedra that share  a cornercorner with one N(16)Hf4 tetrahedra,  a cornercorner with one N(10)Hf4 trigonal pyramid,  a cornercorner with one N(14)Hf4 trigonal pyramid,  a cornercorner with one N(15)Hf4 trigonal pyramid,  a cornercorner with one N(2)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(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(7)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(8)Hf4 trigonal pyramid,  an edgeedge with one O(2)Hf4 trigonal pyramid, and  an edgeedge with one O(6)Hf4 trigonal pyramid. In the tenth N site, N(10) is bonded to one Hf(10), one Hf(14), one Hf(6), and one Hf(9) atom to form NHf4 trigonal pyramids that share  a cornercorner with one N(12)Hf4 tetrahedra,  a cornercorner with one N(16)Hf4 tetrahedra,  a cornercorner with one N(9)Hf4 tetrahedra,  a cornercorner with one N(13)Hf4 trigonal pyramid,  a cornercorner with one N(14)Hf4 trigonal pyramid,  a cornercorner with one N(15)Hf4 trigonal pyramid,  a cornercorner with one N(2)Hf4 trigonal pyramid,  a cornercorner with one N(4)Hf4 trigonal pyramid,  a cornercorner with one N(6)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(7)Hf4 trigonal pyramid,  an edgeedge with one N(11)Hf4 trigonal pyramid,  an edgeedge with one N(5)Hf4 trigonal pyramid,  an edgeedge with one O(4)Hf4 trigonal pyramid, and  an edgeedge with one O(8)Hf4 trigonal pyramid. In the eleventh N site, N(11) is bonded to one Hf(10), one Hf(13), one Hf(14), and one Hf(8) 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(2)Hf4 trigonal pyramid,  a cornercorner with one N(3)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(7)Hf4 trigonal pyramid,  a cornercorner with one O(8)Hf4 trigonal pyramid,  an edgeedge with one N(16)Hf4 tetrahedra,  an edgeedge with one N(10)Hf4 trigonal pyramid,  an edgeedge with one N(6)Hf4 trigonal pyramid, and  an edgeedge with one N(7)Hf4 trigonal pyramid. In the twelfth N site, N(12) is bonded to one Hf(11), one Hf(12), one Hf(3), and one Hf(9) atom to form NHf4 tetrahedra that share  a cornercorner with one N(16)Hf4 tetrahedra,  a cornercorner with one N(10)Hf4 trigonal pyramid,  a cornercorner with one N(14)Hf4 trigonal pyramid,  a cornercorner with one N(15)Hf4 trigonal pyramid,  a cornercorner with one N(2)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(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(7)Hf4 trigonal pyramid,  a cornercorner with one O(8)Hf4 trigonal pyramid,  an edgeedge with one N(5)Hf4 trigonal pyramid,  an edgeedge with one N(8)Hf4 trigonal pyramid,  an edgeedge with one O(1)Hf4 trigonal pyramid, and  an edgeedge with one O(5)Hf4 trigonal pyramid. In the thirteenth N site, N(13) is bonded to one Hf(14), one Hf(16), one Hf(5), and one Hf(7) atom to form NHf4 trigonal pyramids that share  a cornercorner with one N(1)Hf4 trigonal pyramid,  a cornercorner with one N(10)Hf4 trigonal pyramid,  a cornercorner with one N(11)Hf4 trigonal pyramid,  a cornercorner with one N(3)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 N(8)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(9)Hf4 tetrahedra,  an edgeedge with one N(15)Hf4 trigonal pyramid,  an edgeedge with one N(4)Hf4 trigonal pyramid, and  an edgeedge with one O(7)Hf4 trigonal pyramid. In the fourteenth N site, N(14) is bonded to one Hf(1), one Hf(2), one Hf(3), and one Hf(6) atom to form NHf4 trigonal pyramids that share  a cornercorner with one N(12)Hf4 tetrahedra,  a cornercorner with one N(9)Hf4 tetrahedra,  a cornercorner with one N(10)Hf4 trigonal pyramid,  a cornercorner with one N(15)Hf4 trigonal pyramid,  a cornercorner with one N(2)Hf4 trigonal pyramid,  a cornercorner with one N(5)Hf4 trigonal pyramid,  a cornercorner with one N(6)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(7)Hf4 trigonal pyramid,  an edgeedge with one N(1)Hf4 trigonal pyramid,  an edgeedge with one N(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 fifteenth N site, N(15) is bonded to one Hf(12), one Hf(14), one Hf(16), and one Hf(2) atom to form NHf4 trigonal pyramids that share  a cornercorner with one N(12)Hf4 tetrahedra,  a cornercorner with one N(16)Hf4 tetrahedra,  a cornercorner with one N(9)Hf4 tetrahedra,  a cornercorner with one N(1)Hf4 trigonal pyramid,  a cornercorner with one N(10)Hf4 trigonal pyramid,  a cornercorner with one N(11)Hf4 trigonal pyramid,  a cornercorner with one N(14)Hf4 trigonal pyramid,  a cornercorner with one N(4)Hf4 trigonal pyramid,  a cornercorner with one N(6)Hf4 trigonal pyramid,  a cornercorner with one N(7)Hf4 trigonal pyramid,  a cornercorner with one N(8)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(5)Hf4 trigonal pyramid,  an edgeedge with one O(2)Hf4 trigonal pyramid, and  an edgeedge with one O(8)Hf4 trigonal pyramid. In the sixteenth N site, N(16) is bonded to one Hf(10), one Hf(12), one Hf(15), and one Hf(8) atom to form NHf4 tetrahedra that share  a cornercorner with one N(12)Hf4 tetrahedra,  a cornercorner with one N(9)Hf4 tetrahedra,  a cornercorner with one N(10)Hf4 trigonal pyramid,  a cornercorner with one N(15)Hf4 trigonal pyramid,  a cornercorner with one N(2)Hf4 trigonal pyramid,  a cornercorner with one N(5)Hf4 trigonal pyramid,  a cornercorner with one N(6)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(7)Hf4 trigonal pyramid,  an edgeedge with one N(11)Hf4 trigonal pyramid,  an edgeedge with one N(8)Hf4 trigonal pyramid,  an edgeedge with one O(4)Hf4 trigonal pyramid, and  an edgeedge with one O(6)Hf4 trigonal pyramid. There are eight inequivalent O sites. In the first O site, O(1) is bonded to one Hf(11), one Hf(3), one Hf(5), and one Hf(8) atom to form OHf4 trigonal pyramids that share  a cornercorner with one N(16)Hf4 tetrahedra,  a cornercorner with one N(1)Hf4 trigonal pyramid,  a cornercorner with one N(11)Hf4 trigonal pyramid,  a cornercorner with one N(13)Hf4 trigonal pyramid,  a cornercorner with one N(14)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(8)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(12)Hf4 tetrahedra,  an edgeedge with one N(2)Hf4 trigonal pyramid,  an edgeedge with one N(7)Hf4 trigonal pyramid, and  an edgeedge with one O(7)Hf4 trigonal pyramid. In the second O site, O(2) is bonded to one Hf(13), one Hf(15), one Hf(16), and one Hf(2) atom to form OHf4 trigonal pyramids that share  a cornercorner with one N(16)Hf4 tetrahedra,  a cornercorner with one N(1)Hf4 trigonal pyramid,  a cornercorner with one N(11)Hf4 trigonal pyramid,  a cornercorner with one N(13)Hf4 trigonal pyramid,  a cornercorner with one N(14)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(8)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(9)Hf4 tetrahedra,  an edgeedge with one N(15)Hf4 trigonal pyramid,  an edgeedge with one N(6)Hf4 trigonal pyramid, and  an edgeedge with one N(7)Hf4 trigonal pyramid. In the third O site, O(3) is bonded to one Hf(1), one Hf(12), one Hf(4), and one Hf(7) atom to form OHf4 trigonal pyramids that share  a cornercorner with one N(12)Hf4 tetrahedra,  a cornercorner with one N(16)Hf4 tetrahedra,  a cornercorner with one N(9)Hf4 tetrahedra,  a cornercorner with one N(13)Hf4 trigonal pyramid,  a cornercorner with one N(14)Hf4 trigonal pyramid,  a cornercorner with one N(15)Hf4 trigonal pyramid,  a cornercorner with one N(2)Hf4 trigonal pyramid,  a cornercorner with one N(4)Hf4 trigonal pyramid,  a cornercorner with one N(6)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(7)Hf4 trigonal pyramid,  an edgeedge with one N(1)Hf4 trigonal pyramid,  an edgeedge with one N(3)Hf4 trigonal pyramid,  an edgeedge with one N(5)Hf4 trigonal pyramid, and  an edgeedge with one N(8)Hf4 trigonal pyramid. In the fourth O site, O(4) is bonded to one Hf(10), one Hf(15), one Hf(5), and one Hf(9) atom to form OHf4 trigonal pyramids that share  a cornercorner with one N(12)Hf4 tetrahedra,  a cornercorner with one N(9)Hf4 tetrahedra,  a cornercorner with one N(1)Hf4 trigonal pyramid,  a cornercorner with one N(11)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(6)Hf4 trigonal pyramid,  a cornercorner with one N(8)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(5)Hf4 trigonal pyramid,  a cornercorner with one O(6)Hf4 trigonal pyramid,  an edgeedge with one N(16)Hf4 tetrahedra,  an edgeedge with one N(10)Hf4 trigonal pyramid,  an edgeedge with one N(4)Hf4 trigonal pyramid, and  an edgeedge with one O(7)Hf4 trigonal pyramid. In the fifth O site, O(5) is bonded to one Hf(11), one Hf(13), one Hf(4), and one Hf(9) atom to form OHf4 trigonal pyramids that share  a cornercorner with one N(1)Hf4 trigonal pyramid,  a cornercorner with one N(10)Hf4 trigonal pyramid,  a cornercorner with one N(11)Hf4 trigonal pyramid,  a cornercorner with one N(3)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 N(8)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(12)Hf4 tetrahedra,  an edgeedge with one N(2)Hf4 trigonal pyramid,  an edgeedge with one N(4)Hf4 trigonal pyramid, and  an edgeedge with one N(6)Hf4 trigonal pyramid. In the sixth O site, O(6) is bonded to one Hf(1), one Hf(15), one Hf(6), and one Hf(8) atom to form OHf4 trigonal pyramids that share  a cornercorner with one N(1)Hf4 trigonal pyramid,  a cornercorner with one N(10)Hf4 trigonal pyramid,  a cornercorner with one N(11)Hf4 trigonal pyramid,  a cornercorner with one N(3)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 N(8)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(16)Hf4 tetrahedra,  an edgeedge with one N(9)Hf4 tetrahedra,  an edgeedge with one N(14)Hf4 trigonal pyramid, and  an edgeedge with one N(2)Hf4 trigonal pyramid. In the seventh O site, O(7) is bonded to one Hf(10), one Hf(3), one Hf(5), and one Hf(7) atom to form distorted OHf4 trigonal pyramids that share  a cornercorner with one N(12)Hf4 tetrahedra,  a cornercorner with one N(16)Hf4 tetrahedra,  a cornercorner with one N(9)Hf4 tetrahedra,  a cornercorner with one N(1)Hf4 trigonal pyramid,  a cornercorner with one N(10)Hf4 trigonal pyramid,  a cornercorner with one N(11)Hf4 trigonal pyramid,  a cornercorner with one N(14)Hf4 trigonal pyramid,  a cornercorner with one N(4)Hf4 trigonal pyramid,  a cornercorner with one N(6)Hf4 trigonal pyramid,  a cornercorner with one N(7)Hf4 trigonal pyramid,  a cornercorner with one N(8)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(3)Hf4 trigonal pyramid,  an edgeedge with one O(1)Hf4 trigonal pyramid, and  an edgeedge with one O(4)Hf4 trigonal pyramid. In the eighth O site, O(8) is bonded to one Hf(11), one Hf(14), one Hf(2), and one Hf(6) atom to form OHf4 trigonal pyramids that share  a cornercorner with one N(12)Hf4 tetrahedra,  a cornercorner with one N(9)Hf4 tetrahedra,  a cornercorner with one N(1)Hf4 trigonal pyramid,  a cornercorner with one N(11)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(6)Hf4 trigonal pyramid,  a cornercorner with one N(8)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(5)Hf4 trigonal pyramid,  a cornercorner with one O(6)Hf4 trigonal pyramid,  an edgeedge with one N(10)Hf4 trigonal pyramid,  an edgeedge with one N(14)Hf4 trigonal pyramid,  an edgeedge with one N(15)Hf4 trigonal pyramid, and  an edgeedge with one N(2)Hf4 trigonal pyramid.
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(14), one N(3), one N(5), one O(3), and one O(6) atom to form distorted HfN4O2 octahedra that share  a cornercorner with one Hf(15)N3O3 octahedra,  a cornercorner with one Hf(5)N3O3 octahedra,  a cornercorner with one Hf(13)N4O2 octahedra,  a cornercorner with one Hf(8)N4O2 octahedra,  a cornercorner with one Hf(9)N4O2 octahedra,  a cornercorner with one Hf(14)N5O octahedra,  an edgeedge with one Hf(2)N4O2 octahedra,  an edgeedge with one Hf(3)N4O2 octahedra,  an edgeedge with one Hf(4)N4O2 octahedra,  an edgeedge with one Hf(6)N4O2 octahedra,  an edgeedge with one Hf(7)N4O2 octahedra, and  an edgeedge with one Hf(12)N5O octahedra. The corner-sharing octahedral tilt angles range from 51-54°. The Hf(1)-N(1) bond length is 2.13 Å. The Hf(1)-N(14) bond length is 2.22 Å. The Hf(1)-N(3) bond length is 2.14 Å. The Hf(1)-N(5) bond length is 2.10 Å. The Hf(1)-O(3) bond length is 2.21 Å. The Hf(1)-O(6) bond length is 2.11 Å. In the second Hf site, Hf(2) is bonded to one N(1), one N(14), one N(15), one N(6), one O(2), and one O(8) atom to form HfN4O2 octahedra that share  a cornercorner with one Hf(11)N3O3 octahedra,  a cornercorner with one Hf(15)N3O3 octahedra,  a cornercorner with one Hf(5)N3O3 octahedra,  a cornercorner with one Hf(10)N4O2 octahedra,  a cornercorner with one Hf(3)N4O2 octahedra,  a cornercorner with one Hf(12)N5O octahedra,  an edgeedge with one Hf(1)N4O2 octahedra,  an edgeedge with one Hf(13)N4O2 octahedra,  an edgeedge with one Hf(4)N4O2 octahedra,  an edgeedge with one Hf(6)N4O2 octahedra,  an edgeedge with one Hf(14)N5O octahedra, and  an edgeedge with one Hf(16)N5O octahedra. The corner-sharing octahedral tilt angles range from 51-58°. The Hf(2)-N(1) bond length is 2.16 Å. The Hf(2)-N(14) bond length is 2.10 Å. The Hf(2)-N(15) bond length is 2.15 Å. The Hf(2)-N(6) bond length is 2.11 Å. The Hf(2)-O(2) bond length is 2.23 Å. The Hf(2)-O(8) bond length is 2.21 Å. In the third Hf site, Hf(3) is bonded to one N(12), one N(14), one N(3), one N(7), one O(1), and one O(7) atom to form distorted HfN4O2 octahedra that share  a cornercorner with one Hf(10)N4O2 octahedra,  a cornercorner with one Hf(2)N4O2 octahedra,  a cornercorner with one Hf(6)N4O2 octahedra,  a cornercorner with one Hf(9)N4O2 octahedra,  a cornercorner with one Hf(12)N5O octahedra,  a cornercorner with one Hf(16)N5O octahedra,  an edgeedge with one Hf(11)N3O3 octahedra,  an edgeedge with one Hf(5)N3O3 octahedra,  an edgeedge with one Hf(1)N4O2 octahedra,  an edgeedge with one Hf(13)N4O2 octahedra,  an edgeedge with one Hf(7)N4O2 octahedra, and  an edgeedge with one Hf(8)N4O2 octahedra. The corner-sharing octahedral tilt angles range from 53-57°. The Hf(3)-N(12) bond length is 2.15 Å. The Hf(3)-N(14) bond length is 2.08 Å. The Hf(3)-N(3) bond length is 2.19 Å. The Hf(3)-N(7) bond length is 2.12 Å. The Hf(3)-O(1) bond length is 2.27 Å. The Hf(3)-O(7) bond length is 2.17 Å. In the fourth Hf site, Hf(4) is bonded to one N(1), one N(2), one N(4), one N(6), one O(3), and one O(5) atom to form distorted HfN4O2 octahedra that share  a cornercorner with one Hf(10)N4O2 octahedra,  a cornercorner with one Hf(6)N4O2 octahedra,  a cornercorner with one Hf(7)N4O2 octahedra,  a cornercorner with one Hf(8)N4O2 octahedra,  a cornercorner with one Hf(12)N5O octahedra,  a cornercorner with one Hf(16)N5O octahedra,  an edgeedge with one Hf(11)N3O3 octahedra,  an edgeedge with one Hf(5)N3O3 octahedra,  an edgeedge with one Hf(1)N4O2 octahedra,  an edgeedge with one Hf(13)N4O2 octahedra,  an edgeedge with one Hf(2)N4O2 octahedra, and  an edgeedge with one Hf(9)N4O2 octahedra. The corner-sharing octahedral tilt angles range from 53-58°. The Hf(4)-N(1) bond length is 2.25 Å. The Hf(4)-N(2) bond length is 2.12 Å. The Hf(4)-N(4) bond length is 2.14 Å. The Hf(4)-N(6) bond length is 2.14 Å. The Hf(4)-O(3) bond length is 2.11 Å. The Hf(4)-O(5) bond length is 2.20 Å. In the fifth Hf site, Hf(5) is bonded to one N(1), one N(13), one N(4), one O(1), one O(4), and one O(7) atom to form distorted HfN3O3 octahedra that share  a cornercorner with one Hf(11)N3O3 octahedra,  a cornercorner with one Hf(15)N3O3 octahedra,  a cornercorner with one Hf(1)N4O2 octahedra,  a cornercorner with one Hf(2)N4O2 octahedra,  a cornercorner with one Hf(8)N4O2 octahedra,  a cornercorner with one Hf(14)N5O octahedra,  an edgeedge with one Hf(10)N4O2 octahedra,  an edgeedge with one Hf(3)N4O2 octahedra,  an edgeedge with one Hf(4)N4O2 octahedra,  an edgeedge with one Hf(7)N4O2 octahedra,  an edgeedge with one Hf(9)N4O2 octahedra, and  an edgeedge with one Hf(16)N5O octahedra. The corner-sharing octahedral tilt angles range from 51-56°. The Hf(5)-N(1) bond length is 2.05 Å. The Hf(5)-N(13) bond length is 2.09 Å. The Hf(5)-N(4) bond length is 2.12 Å. The Hf(5)-O(1) bond length is 2.18 Å. The Hf(5)-O(4) bond length is 2.17 Å. The Hf(5)-O(7) bond length is 2.25 Å. In the sixth Hf site, Hf(6) is bonded to one N(10), one N(14), one N(2), one N(9), one O(6), and one O(8) atom to form distorted HfN4O2 octahedra that share  a cornercorner with one Hf(10)N4O2 octahedra,  a cornercorner with one Hf(3)N4O2 octahedra,  a cornercorner with one Hf(4)N4O2 octahedra,  a cornercorner with one Hf(7)N4O2 octahedra,  a cornercorner with one Hf(9)N4O2 octahedra,  a cornercorner with one Hf(16)N5O octahedra,  an edgeedge with one Hf(11)N3O3 octahedra,  an edgeedge with one Hf(15)N3O3 octahedra,  an edgeedge with one Hf(1)N4O2 octahedra,  an edgeedge with one Hf(2)N4O2 octahedra,  an edgeedge with one Hf(8)N4O2 octahedra, and  an edgeedge with one Hf(14)N5O octahedra. The corner-sharing octahedral tilt angles range from 54-57°. The Hf(6)-N(10) bond length is 2.08 Å. The Hf(6)-N(14) bond length is 2.15 Å. The Hf(6)-N(2) bond length is 2.14 Å. The Hf(6)-N(9) bond length is 2.09 Å. The Hf(6)-O(6) bond length is 2.26 Å. The Hf(6)-O(8) bond length is 2.25 Å. In the seventh Hf site, Hf(7) is bonded to one N(13), one N(3), one N(8), one N(9), one O(3), and one O(7) atom to form HfN4O2 octahedra that share  a cornercorner with one Hf(11)N3O3 octahedra,  a cornercorner with one Hf(10)N4O2 octahedra,  a cornercorner with one Hf(13)N4O2 octahedra,  a cornercorner with one Hf(4)N4O2 octahedra,  a cornercorner with one Hf(6)N4O2 octahedra,  a cornercorner with one Hf(14)N5O octahedra,  an edgeedge with one Hf(15)N3O3 octahedra,  an edgeedge with one Hf(5)N3O3 octahedra,  an edgeedge with one Hf(1)N4O2 octahedra,  an edgeedge with one Hf(3)N4O2 octahedra,  an edgeedge with one Hf(12)N5O octahedra, and  an edgeedge with one Hf(16)N5O octahedra. The corner-sharing octahedral tilt angles range from 53-58°. The Hf(7)-N(13) bond length is 2.08 Å. The Hf(7)-N(3) bond length is 2.15 Å. The Hf(7)-N(8) bond length is 2.11 Å. The Hf(7)-N(9) bond length is 2.16 Å. The Hf(7)-O(3) bond length is 2.24 Å. The Hf(7)-O(7) bond length is 2.25 Å. In the eighth Hf site, Hf(8) is bonded to one N(11), one N(16), one N(2), one N(7), one O(1), and one O(6) atom to form HfN4O2 octahedra that share  a cornercorner with one Hf(5)N3O3 octahedra,  a cornercorner with one Hf(1)N4O2 octahedra,  a cornercorner with one Hf(4)N4O2 octahedra,  a cornercorner with one Hf(12)N5O octahedra,  a cornercorner with one Hf(14)N5O octahedra,  a cornercorner with one Hf(16)N5O octahedra,  an edgeedge with one Hf(11)N3O3 octahedra,  an edgeedge with one Hf(15)N3O3 octahedra,  an edgeedge with one Hf(10)N4O2 octahedra,  an edgeedge with one Hf(13)N4O2 octahedra,  an edgeedge with one Hf(3)N4O2 octahedra, and  an edgeedge with one Hf(6)N4O2 octahedra. The corner-sharing octahedral tilt angles range from 53-58°. The Hf(8)-N(11) bond length is 2.14 Å. The Hf(8)-N(16) bond length is 2.09 Å. The Hf(8)-N(2) bond length is 2.17 Å. The Hf(8)-N(7) bond length is 2.12 Å. The Hf(8)-O(1) bond length is 2.25 Å. The Hf(8)-O(6) bond length is 2.21 Å. In the ninth Hf site, Hf(9) is bonded to one N(10), one N(12), one N(4), one N(5), one O(4), and one O(5) atom to form HfN4O2 octahedra that share  a cornercorner with one Hf(15)N3O3 octahedra,  a cornercorner with one Hf(1)N4O2 octahedra,  a cornercorner with one Hf(13)N4O2 octahedra,  a cornercorner with one Hf(3)N4O2 octahedra,  a cornercorner with one Hf(6)N4O2 octahedra,  a cornercorner with one Hf(16)N5O octahedra,  an edgeedge with one Hf(11)N3O3 octahedra,  an edgeedge with one Hf(5)N3O3 octahedra,  an edgeedge with one Hf(10)N4O2 octahedra,  an edgeedge with one Hf(4)N4O2 octahedra,  an edgeedge with one Hf(12)N5O octahedra, and  an edgeedge with one Hf(14)N5O octahedra. The corner-sharing octahedral tilt angles range from 51-57°. The Hf(9)-N(10) bond length is 2.09 Å. The Hf(9)-N(12) bond length is 2.11 Å. The Hf(9)-N(4) bond length is 2.16 Å. The Hf(9)-N(5) bond length is 2.14 Å. The Hf(9)-O(4) bond length is 2.22 Å. The Hf(9)-O(5) bond length is 2.24 Å. In the tenth Hf site, Hf(10) is bonded to one N(10), one N(11), one N(16), one N(6), one O(4), and one O(7) atom to form distorted HfN4O2 octahedra that share  a cornercorner with one Hf(2)N4O2 octahedra,  a cornercorner with one Hf(3)N4O2 octahedra,  a cornercorner with one Hf(4)N4O2 octahedra,  a cornercorner with one Hf(6)N4O2 octahedra,  a cornercorner with one Hf(7)N4O2 octahedra,  a cornercorner with one Hf(12)N5O octahedra,  an edgeedge with one Hf(15)N3O3 octahedra,  an edgeedge with one Hf(5)N3O3 octahedra,  an edgeedge with one Hf(13)N4O2 octahedra,  an edgeedge with one Hf(8)N4O2 octahedra,  an edgeedge with one Hf(9)N4O2 octahedra, and  an edgeedge with one Hf(14)N5O octahedra. The corner-sharing octahedral tilt angles range from 53-56°. The Hf(10)-N(10) bond length is 2.15 Å. The Hf(10)-N(11) bond length is 2.14 Å. The Hf(10)-N(16) bond length is 2.15 Å. The Hf(10)-N(6) bond length is 2.07 Å. The Hf(10)-O(4) bond length is 2.30 Å. The Hf(10)-O(7) bond length is 2.18 Å. In the eleventh Hf site, Hf(11) is bonded to one N(12), one N(2), one N(8), one O(1), one O(5), and one O(8) atom to form distorted HfN3O3 octahedra that share  a cornercorner with one Hf(15)N3O3 octahedra,  a cornercorner with one Hf(5)N3O3 octahedra,  a cornercorner with one Hf(13)N4O2 octahedra,  a cornercorner with one Hf(2)N4O2 octahedra,  a cornercorner with one Hf(7)N4O2 octahedra,  a cornercorner with one Hf(14)N5O octahedra,  an edgeedge with one Hf(3)N4O2 octahedra,  an edgeedge with one Hf(4)N4O2 octahedra,  an edgeedge with one Hf(6)N4O2 octahedra,  an edgeedge with one Hf(8)N4O2 octahedra,  an edgeedge with one Hf(9)N4O2 octahedra, and  an edgeedge with one Hf(12)N5O octahedra. The corner-sharing octahedral tilt angles range from 51-54°. The Hf(11)-N(12) bond length is 2.14 Å. The Hf(11)-N(2) bond length is 2.18 Å. The Hf(11)-N(8) bond length is 2.11 Å. The Hf(11)-O(1) bond length is 2.12 Å. The Hf(11)-O(5) bond length is 2.14 Å. The Hf(11)-O(8) bond length is 2.15 Å. In the twelfth Hf site, Hf(12) is bonded to one N(12), one N(15), one N(16), one N(5), one N(8), and one O(3) atom to form distorted HfN5O octahedra that share  a cornercorner with one Hf(10)N4O2 octahedra,  a cornercorner with one Hf(2)N4O2 octahedra,  a cornercorner with one Hf(3)N4O2 octahedra,  a cornercorner with one Hf(4)N4O2 octahedra,  a cornercorner with one Hf(8)N4O2 octahedra,  a cornercorner with one Hf(16)N5O octahedra,  an edgeedge with one Hf(11)N3O3 octahedra,  an edgeedge with one Hf(15)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, and  an edgeedge with one Hf(14)N5O octahedra. The corner-sharing octahedral tilt angles range from 53-58°. The Hf(12)-N(12) bond length is 2.12 Å. The Hf(12)-N(15) bond length is 2.11 Å. The Hf(12)-N(16) bond length is 2.16 Å. The Hf(12)-N(5) bond length is 2.20 Å. The Hf(12)-N(8) bond length is 2.27 Å. The Hf(12)-O(3) bond length is 2.21 Å. In the thirteenth Hf site, Hf(13) is bonded to one N(11), one N(3), one N(6), one N(7), one O(2), and one O(5) atom to form distorted HfN4O2 octahedra that share  a cornercorner with one Hf(11)N3O3 octahedra,  a cornercorner with one Hf(15)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(14)N5O octahedra,  an edgeedge with one Hf(10)N4O2 octahedra,  an edgeedge with one Hf(2)N4O2 octahedra,  an edgeedge with one Hf(3)N4O2 octahedra,  an edgeedge with one Hf(4)N4O2 octahedra,  an edgeedge with one Hf(8)N4O2 octahedra, and  an edgeedge with one Hf(16)N5O octahedra. The corner-sharing octahedral tilt angles range from 50-58°. The Hf(13)-N(11) bond length is 2.09 Å. The Hf(13)-N(3) bond length is 2.10 Å. The Hf(13)-N(6) bond length is 2.26 Å. The Hf(13)-N(7) bond length is 2.14 Å. The Hf(13)-O(2) bond length is 2.20 Å. The Hf(13)-O(5) bond length is 2.17 Å. In the fourteenth Hf site, Hf(14) is bonded to one N(10), one N(11), one N(13), one N(15), one N(5), and one O(8) atom to form distorted HfN5O octahedra that share  a cornercorner with one Hf(11)N3O3 octahedra,  a cornercorner with one Hf(5)N3O3 octahedra,  a cornercorner with one Hf(1)N4O2 octahedra,  a cornercorner with one Hf(13)N4O2 octahedra,  a cornercorner with one Hf(7)N4O2 octahedra,  a cornercorner with one Hf(8)N4O2 octahedra,  an edgeedge with one Hf(10)N4O2 octahedra,  an edgeedge with one Hf(2)N4O2 octahedra,  an edgeedge with one Hf(6)N4O2 octahedra,  an edgeedge with one Hf(9)N4O2 octahedra,  an edgeedge with one Hf(12)N5O octahedra, and  an edgeedge with one Hf(16)N5O octahedra. The corner-sharing octahedral tilt angles range from 52-56°. The Hf(14)-N(10) bond length is 2.22 Å. The Hf(14)-N(11) bond length is 2.14 Å. The Hf(14)-N(13) bond length is 2.13 Å. The Hf(14)-N(15) bond length is 2.19 Å. The Hf(14)-N(5) bond length is 2.12 Å. The Hf(14)-O(8) bond length is 2.21 Å. In the fifteenth Hf site, Hf(15) is bonded to one N(16), one N(8), one N(9), one O(2), one O(4), and one O(6) atom to form distorted HfN3O3 octahedra that share  a cornercorner with one Hf(11)N3O3 octahedra,  a cornercorner with one Hf(5)N3O3 octahedra,  a cornercorner with one Hf(1)N4O2 octahedra,  a cornercorner with one Hf(13)N4O2 octahedra,  a cornercorner with one Hf(2)N4O2 octahedra,  a cornercorner with one Hf(9)N4O2 octahedra,  an edgeedge with one Hf(10)N4O2 octahedra,  an edgeedge with one Hf(6)N4O2 octahedra,  an edgeedge with one Hf(7)N4O2 octahedra,  an edgeedge with one Hf(8)N4O2 octahedra,  an edgeedge with one Hf(12)N5O octahedra, and  an edgeedge with one Hf(16)N5O octahedra. The corner-sharing octahedral tilt angles range from 50-54°. The Hf(15)-N(16) bond length is 2.15 Å. The Hf(15)-N(8) bond length is 2.09 Å. The Hf(15)-N(9) bond length is 2.13 Å. The Hf(15)-O(2) bond length is 2.12 Å. The Hf(15)-O(4) bond length is 2.15 Å. The Hf(15)-O(6) bond length is 2.20 Å. In the sixteenth Hf site, Hf(16) is bonded to one N(13), one N(15), one N(4), one N(7), one N(9), and one O(2) atom to form distorted HfN5O octahedra that share  a cornercorner with one Hf(3)N4O2 octahedra,  a cornercorner with one Hf(4)N4O2 octahedra,  a cornercorner with one Hf(6)N4O2 octahedra,  a cornercorner with one Hf(8)N4O2 octahedra,  a cornercorner with one Hf(9)N4O2 octahedra,  a cornercorner with one Hf(12)N5O octahedra,  an edgeedge with one Hf(15)N3O3 octahedra,  an edgeedge with one Hf(5)N3O3 octahedra,  an edgeedge with one Hf(13)N4O2 octahedra,  an edgeedge with one Hf(2)N4O2 octahedra,  an edgeedge with one Hf(7)N4O2 octahedra, and  an edgeedge with one Hf(14)N5O octahedra. The corner-sharing octahedral tilt angles range from 54-58°. The Hf(16)-N(13) bond length is 2.21 Å. The Hf(16)-N(15) bond length is 2.14 Å. The Hf(16)-N(4) bond length is 2.11 Å. The Hf(16)-N(7) bond length is 2.13 Å. The Hf(16)-N(9) bond length is 2.17 Å. The Hf(16)-O(2) bond length is 2.31 Å. There are sixteen inequivalent N sites. In the first N site, N(1) is bonded to one Hf(1), one Hf(2), one Hf(4), 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(2)Hf4 trigonal pyramid,  a cornercorner with one N(3)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(7)Hf4 trigonal pyramid,  a cornercorner with one O(8)Hf4 trigonal pyramid,  an edgeedge with one N(14)Hf4 trigonal pyramid,  an edgeedge with one N(4)Hf4 trigonal pyramid,  an edgeedge with one N(6)Hf4 trigonal pyramid, and  an edgeedge with one O(3)Hf4 trigonal pyramid. In the second N site, N(2) is bonded to one Hf(11), one Hf(4), one Hf(6), and one Hf(8) atom to form NHf4 trigonal pyramids that share  a cornercorner with one N(12)Hf4 tetrahedra,  a cornercorner with one N(16)Hf4 tetrahedra,  a cornercorner with one N(9)Hf4 tetrahedra,  a cornercorner with one N(1)Hf4 trigonal pyramid,  a cornercorner with one N(10)Hf4 trigonal pyramid,  a cornercorner with one N(11)Hf4 trigonal pyramid,  a cornercorner with one N(14)Hf4 trigonal pyramid,  a cornercorner with one N(4)Hf4 trigonal pyramid,  a cornercorner with one N(6)Hf4 trigonal pyramid,  a cornercorner with one N(7)Hf4 trigonal pyramid,  a cornercorner with one N(8)Hf4 trigonal pyramid,  a cornercorner with one O(3)Hf4 trigonal pyramid,  an edgeedge with one O(1)Hf4 trigonal pyramid,  an edgeedge with one O(5)Hf4 trigonal pyramid,  an edgeedge with one O(6)Hf4 trigonal pyramid, and  an edgeedge with one O(8)Hf4 trigonal pyramid. In the third N site, N(3) is bonded to one Hf(1), one Hf(13), one Hf(3), and one Hf(7) atom to form NHf4 trigonal pyramids that share  a cornercorner with one N(12)Hf4 tetrahedra,  a cornercorner with one N(9)Hf4 tetrahedra,  a cornercorner with one N(1)Hf4 trigonal pyramid,  a cornercorner with one N(11)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(6)Hf4 trigonal pyramid,  a cornercorner with one N(8)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(5)Hf4 trigonal pyramid,  a cornercorner with one O(6)Hf4 trigonal pyramid,  an edgeedge with one N(14)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(7)Hf4 trigonal pyramid. In the fourth N site, N(4) is bonded to one Hf(16), one Hf(4), one Hf(5), and one Hf(9) atom to form NHf4 trigonal pyramids that share  a cornercorner with one N(12)Hf4 tetrahedra,  a cornercorner with one N(9)Hf4 tetrahedra,  a cornercorner with one N(10)Hf4 trigonal pyramid,  a cornercorner with one N(15)Hf4 trigonal pyramid,  a cornercorner with one N(2)Hf4 trigonal pyramid,  a cornercorner with one N(5)Hf4 trigonal pyramid,  a cornercorner with one N(6)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(7)Hf4 trigonal pyramid,  an edgeedge with one N(1)Hf4 trigonal pyramid,  an edgeedge with one N(13)Hf4 trigonal pyramid,  an edgeedge with one O(4)Hf4 trigonal pyramid, and  an edgeedge with one O(5)Hf4 trigonal pyramid. In the fifth N site, N(5) is bonded to one Hf(1), one Hf(12), one Hf(14), and one Hf(9) atom to form NHf4 trigonal pyramids that share  a cornercorner with one N(16)Hf4 tetrahedra,  a cornercorner with one N(1)Hf4 trigonal pyramid,  a cornercorner with one N(11)Hf4 trigonal pyramid,  a cornercorner with one N(13)Hf4 trigonal pyramid,  a cornercorner with one N(14)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(8)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(12)Hf4 tetrahedra,  an edgeedge with one N(10)Hf4 trigonal pyramid,  an edgeedge with one N(15)Hf4 trigonal pyramid, and  an edgeedge with one O(3)Hf4 trigonal pyramid. In the sixth N site, N(6) is bonded to one Hf(10), one Hf(13), one Hf(2), and one Hf(4) atom to form NHf4 trigonal pyramids that share  a cornercorner with one N(16)Hf4 tetrahedra,  a cornercorner with one N(10)Hf4 trigonal pyramid,  a cornercorner with one N(14)Hf4 trigonal pyramid,  a cornercorner with one N(15)Hf4 trigonal pyramid,  a cornercorner with one N(2)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(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(7)Hf4 trigonal pyramid,  a cornercorner with one O(8)Hf4 trigonal pyramid,  an edgeedge with one N(1)Hf4 trigonal pyramid,  an edgeedge with one N(11)Hf4 trigonal pyramid,  an edgeedge with one O(2)Hf4 trigonal pyramid, and  an edgeedge with one O(5)Hf4 trigonal pyramid. In the seventh N site, N(7) is bonded to one Hf(13), one Hf(16), one Hf(3), and one Hf(8) atom to form NHf4 trigonal pyramids that share  a cornercorner with one N(12)Hf4 tetrahedra,  a cornercorner with one N(16)Hf4 tetrahedra,  a cornercorner with one N(9)Hf4 tetrahedra,  a cornercorner with one N(13)Hf4 trigonal pyramid,  a cornercorner with one N(14)Hf4 trigonal pyramid,  a cornercorner with one N(15)Hf4 trigonal pyramid,  a cornercorner with one N(2)Hf4 trigonal pyramid,  a cornercorner with one N(4)Hf4 trigonal pyramid,  a cornercorner with one N(6)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(7)Hf4 trigonal pyramid,  an edgeedge with one N(11)Hf4 trigonal pyramid,  an edgeedge with one N(3)Hf4 trigonal pyramid,  an edgeedge with one O(1)Hf4 trigonal pyramid, and  an edgeedge with one O(2)Hf4 trigonal pyramid. In the eighth N site, N(8) is bonded to one Hf(11), one Hf(12), one Hf(15), and one Hf(7) 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(2)Hf4 trigonal pyramid,  a cornercorner with one N(3)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(7)Hf4 trigonal pyramid,  a cornercorner with one O(8)Hf4 trigonal pyramid,  an edgeedge with one N(12)Hf4 tetrahedra,  an edgeedge with one N(16)Hf4 tetrahedra,  an edgeedge with one N(9)Hf4 tetrahedra, and  an edgeedge with one O(3)Hf4 trigonal pyramid. In the ninth N site, N(9) is bonded to one Hf(15), one Hf(16), one Hf(6), and one Hf(7) atom to form NHf4 tetrahedra that share  a cornercorner with one N(16)Hf4 tetrahedra,  a cornercorner with one N(10)Hf4 trigonal pyramid,  a cornercorner with one N(14)Hf4 trigonal pyramid,  a cornercorner with one N(15)Hf4 trigonal pyramid,  a cornercorner with one N(2)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(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(7)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(8)Hf4 trigonal pyramid,  an edgeedge with one O(2)Hf4 trigonal pyramid, and  an edgeedge with one O(6)Hf4 trigonal pyramid. In the tenth N site, N(10) is bonded to one Hf(10), one Hf(14), one Hf(6), and one Hf(9) atom to form NHf4 trigonal pyramids that share  a cornercorner with one N(12)Hf4 tetrahedra,  a cornercorner with one N(16)Hf4 tetrahedra,  a cornercorner with one N(9)Hf4 tetrahedra,  a cornercorner with one N(13)Hf4 trigonal pyramid,  a cornercorner with one N(14)Hf4 trigonal pyramid,  a cornercorner with one N(15)Hf4 trigonal pyramid,  a cornercorner with one N(2)Hf4 trigonal pyramid,  a cornercorner with one N(4)Hf4 trigonal pyramid,  a cornercorner with one N(6)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(7)Hf4 trigonal pyramid,  an edgeedge with one N(11)Hf4 trigonal pyramid,  an edgeedge with one N(5)Hf4 trigonal pyramid,  an edgeedge with one O(4)Hf4 trigonal pyramid, and  an edgeedge with one O(8)Hf4 trigonal pyramid. In the eleventh N site, N(11) is bonded to one Hf(10), one Hf(13), one Hf(14), and one Hf(8) 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(2)Hf4 trigonal pyramid,  a cornercorner with one N(3)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(7)Hf4 trigonal pyramid,  a cornercorner with one O(8)Hf4 trigonal pyramid,  an edgeedge with one N(16)Hf4 tetrahedra,  an edgeedge with one N(10)Hf4 trigonal pyramid,  an edgeedge with one N(6)Hf4 trigonal pyramid, and  an edgeedge with one N(7)Hf4 trigonal pyramid. In the twelfth N site, N(12) is bonded to one Hf(11), one Hf(12), one Hf(3), and one Hf(9) atom to form NHf4 tetrahedra that share  a cornercorner with one N(16)Hf4 tetrahedra,  a cornercorner with one N(10)Hf4 trigonal pyramid,  a cornercorner with one N(14)Hf4 trigonal pyramid,  a cornercorner with one N(15)Hf4 trigonal pyramid,  a cornercorner with one N(2)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(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(7)Hf4 trigonal pyramid,  a cornercorner with one O(8)Hf4 trigonal pyramid,  an edgeedge with one N(5)Hf4 trigonal pyramid,  an edgeedge with one N(8)Hf4 trigonal pyramid,  an edgeedge with one O(1)Hf4 trigonal pyramid, and  an edgeedge with one O(5)Hf4 trigonal pyramid. In the thirteenth N site, N(13) is bonded to one Hf(14), one Hf(16), one Hf(5), and one Hf(7) atom to form NHf4 trigonal pyramids that share  a cornercorner with one N(1)Hf4 trigonal pyramid,  a cornercorner with one N(10)Hf4 trigonal pyramid,  a cornercorner with one N(11)Hf4 trigonal pyramid,  a cornercorner with one N(3)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 N(8)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(9)Hf4 tetrahedra,  an edgeedge with one N(15)Hf4 trigonal pyramid,  an edgeedge with one N(4)Hf4 trigonal pyramid, and  an edgeedge with one O(7)Hf4 trigonal pyramid. In the fourteenth N site, N(14) is bonded to one Hf(1), one Hf(2), one Hf(3), and one Hf(6) atom to form NHf4 trigonal pyramids that share  a cornercorner with one N(12)Hf4 tetrahedra,  a cornercorner with one N(9)Hf4 tetrahedra,  a cornercorner with one N(10)Hf4 trigonal pyramid,  a cornercorner with one N(15)Hf4 trigonal pyramid,  a cornercorner with one N(2)Hf4 trigonal pyramid,  a cornercorner with one N(5)Hf4 trigonal pyramid,  a cornercorner with one N(6)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(7)Hf4 trigonal pyramid,  an edgeedge with one N(1)Hf4 trigonal pyramid,  an edgeedge with one N(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 fifteenth N site, N(15) is bonded to one Hf(12), one Hf(14), one Hf(16), and one Hf(2) atom to form NHf4 trigonal pyramids that share  a cornercorner with one N(12)Hf4 tetrahedra,  a cornercorner with one N(16)Hf4 tetrahedra,  a cornercorner with one N(9)Hf4 tetrahedra,  a cornercorner with one N(1)Hf4 trigonal pyramid,  a cornercorner with one N(10)Hf4 trigonal pyramid,  a cornercorner with one N(11)Hf4 trigonal pyramid,  a cornercorner with one N(14)Hf4 trigonal pyramid,  a cornercorner with one N(4)Hf4 trigonal pyramid,  a cornercorner with one N(6)Hf4 trigonal pyramid,  a cornercorner with one N(7)Hf4 trigonal pyramid,  a cornercorner with one N(8)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(5)Hf4 trigonal pyramid,  an edgeedge with one O(2)Hf4 trigonal pyramid, and  an edgeedge with one O(8)Hf4 trigonal pyramid. In the sixteenth N site, N(16) is bonded to one Hf(10), one Hf(12), one Hf(15), and one Hf(8) atom to form NHf4 tetrahedra that share  a cornercorner with one N(12)Hf4 tetrahedra,  a cornercorner with one N(9)Hf4 tetrahedra,  a cornercorner with one N(10)Hf4 trigonal pyramid,  a cornercorner with one N(15)Hf4 trigonal pyramid,  a cornercorner with one N(2)Hf4 trigonal pyramid,  a cornercorner with one N(5)Hf4 trigonal pyramid,  a cornercorner with one N(6)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(7)Hf4 trigonal pyramid,  an edgeedge with one N(11)Hf4 trigonal pyramid,  an edgeedge with one N(8)Hf4 trigonal pyramid,  an edgeedge with one O(4)Hf4 trigonal pyramid, and  an edgeedge with one O(6)Hf4 trigonal pyramid. There are eight inequivalent O sites. In the first O site, O(1) is bonded to one Hf(11), one Hf(3), one Hf(5), and one Hf(8) atom to form OHf4 trigonal pyramids that share  a cornercorner with one N(16)Hf4 tetrahedra,  a cornercorner with one N(1)Hf4 trigonal pyramid,  a cornercorner with one N(11)Hf4 trigonal pyramid,  a cornercorner with one N(13)Hf4 trigonal pyramid,  a cornercorner with one N(14)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(8)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(12)Hf4 tetrahedra,  an edgeedge with one N(2)Hf4 trigonal pyramid,  an edgeedge with one N(7)Hf4 trigonal pyramid, and  an edgeedge with one O(7)Hf4 trigonal pyramid. In the second O site, O(2) is bonded to one Hf(13), one Hf(15), one Hf(16), and one Hf(2) atom to form OHf4 trigonal pyramids that share  a cornercorner with one N(16)Hf4 tetrahedra,  a cornercorner with one N(1)Hf4 trigonal pyramid,  a cornercorner with one N(11)Hf4 trigonal pyramid,  a cornercorner with one N(13)Hf4 trigonal pyramid,  a cornercorner with one N(14)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(8)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(9)Hf4 tetrahedra,  an edgeedge with one N(15)Hf4 trigonal pyramid,  an edgeedge with one N(6)Hf4 trigonal pyramid, and  an edgeedge with one N(7)Hf4 trigonal pyramid. In the third O site, O(3) is bonded to one Hf(1), one Hf(12), one Hf(4), and one Hf(7) atom to form OHf4 trigonal pyramids that share  a cornercorner with one N(12)Hf4 tetrahedra,  a cornercorner with one N(16)Hf4 tetrahedra,  a cornercorner with one N(9)Hf4 tetrahedra,  a cornercorner with one N(13)Hf4 trigonal pyramid,  a cornercorner with one N(14)Hf4 trigonal pyramid,  a cornercorner with one N(15)Hf4 trigonal pyramid,  a cornercorner with one N(2)Hf4 trigonal pyramid,  a cornercorner with one N(4)Hf4 trigonal pyramid,  a cornercorner with one N(6)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(7)Hf4 trigonal pyramid,  an edgeedge with one N(1)Hf4 trigonal pyramid,  an edgeedge with one N(3)Hf4 trigonal pyramid,  an edgeedge with one N(5)Hf4 trigonal pyramid, and  an edgeedge with one N(8)Hf4 trigonal pyramid. In the fourth O site, O(4) is bonded to one Hf(10), one Hf(15), one Hf(5), and one Hf(9) atom to form OHf4 trigonal pyramids that share  a cornercorner with one N(12)Hf4 tetrahedra,  a cornercorner with one N(9)Hf4 tetrahedra,  a cornercorner with one N(1)Hf4 trigonal pyramid,  a cornercorner with one N(11)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(6)Hf4 trigonal pyramid,  a cornercorner with one N(8)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(5)Hf4 trigonal pyramid,  a cornercorner with one O(6)Hf4 trigonal pyramid,  an edgeedge with one N(16)Hf4 tetrahedra,  an edgeedge with one N(10)Hf4 trigonal pyramid,  an edgeedge with one N(4)Hf4 trigonal pyramid, and  an edgeedge with one O(7)Hf4 trigonal pyramid. In the fifth O site, O(5) is bonded to one Hf(11), one Hf(13), one Hf(4), and one Hf(9) atom to form OHf4 trigonal pyramids that share  a cornercorner with one N(1)Hf4 trigonal pyramid,  a cornercorner with one N(10)Hf4 trigonal pyramid,  a cornercorner with one N(11)Hf4 trigonal pyramid,  a cornercorner with one N(3)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 N(8)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(12)Hf4 tetrahedra,  an edgeedge with one N(2)Hf4 trigonal pyramid,  an edgeedge with one N(4)Hf4 trigonal pyramid, and  an edgeedge with one N(6)Hf4 trigonal pyramid. In the sixth O site, O(6) is bonded to one Hf(1), one Hf(15), one Hf(6), and one Hf(8) atom to form OHf4 trigonal pyramids that share  a cornercorner with one N(1)Hf4 trigonal pyramid,  a cornercorner with one N(10)Hf4 trigonal pyramid,  a cornercorner with one N(11)Hf4 trigonal pyramid,  a cornercorner with one N(3)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 N(8)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(16)Hf4 tetrahedra,  an edgeedge with one N(9)Hf4 tetrahedra,  an edgeedge with one N(14)Hf4 trigonal pyramid, and  an edgeedge with one N(2)Hf4 trigonal pyramid. In the seventh O site, O(7) is bonded to one Hf(10), one Hf(3), one Hf(5), and one Hf(7) atom to form distorted OHf4 trigonal pyramids that share  a cornercorner with one N(12)Hf4 tetrahedra,  a cornercorner with one N(16)Hf4 tetrahedra,  a cornercorner with one N(9)Hf4 tetrahedra,  a cornercorner with one N(1)Hf4 trigonal pyramid,  a cornercorner with one N(10)Hf4 trigonal pyramid,  a cornercorner with one N(11)Hf4 trigonal pyramid,  a cornercorner with one N(14)Hf4 trigonal pyramid,  a cornercorner with one N(4)Hf4 trigonal pyramid,  a cornercorner with one N(6)Hf4 trigonal pyramid,  a cornercorner with one N(7)Hf4 trigonal pyramid,  a cornercorner with one N(8)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(3)Hf4 trigonal pyramid,  an edgeedge with one O(1)Hf4 trigonal pyramid, and  an edgeedge with one O(4)Hf4 trigonal pyramid. In the eighth O site, O(8) is bonded to one Hf(11), one Hf(14), one Hf(2), and one Hf(6) atom to form OHf4 trigonal pyramids that share  a cornercorner with one N(12)Hf4 tetrahedra,  a cornercorner with one N(9)Hf4 tetrahedra,  a cornercorner with one N(1)Hf4 trigonal pyramid,  a cornercorner with one N(11)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(6)Hf4 trigonal pyramid,  a cornercorner with one N(8)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(5)Hf4 trigonal pyramid,  a cornercorner with one O(6)Hf4 trigonal pyramid,  an edgeedge with one N(10)Hf4 trigonal pyramid,  an edgeedge with one N(14)Hf4 trigonal pyramid,  an edgeedge with one N(15)Hf4 trigonal pyramid, and  an edgeedge with one N(2)Hf4 trigonal pyramid.