The structure described by Hf2ON2 is Ilmenite-like structured and crystallizes in the triclinic P1 space group. There are eight inequivalent Hf sites. In the first Hf site, Hf(1) is bonded to one N(1), one N(3), one N(6), one N(8), one O(1), and one O(4) atom to form a mixture of distorted edge, face, and corner-sharing HfN4O2 octahedra. The corner-sharing octahedral tilt angles range from 44-64°. In the second Hf site, Hf(2) is bonded to one N(2), one N(4), one N(5), one N(7), one O(2), and one O(3) atom to form a mixture of distorted edge, face, and corner-sharing HfN4O2 octahedra. The corner-sharing octahedral tilt angles range from 42-66°. In the third Hf site, Hf(3) is bonded to one N(1), one N(2), one N(3), one N(4), one O(1), and one O(2) atom to form a mixture of distorted edge, face, and corner-sharing HfN4O2 octahedra. The corner-sharing octahedral tilt angles range from 46-66°. In the fourth Hf site, Hf(4) is bonded to one N(5), one N(6), one N(7), one N(8), one O(3), and one O(4) atom to form a mixture of distorted edge, face, and corner-sharing HfN4O2 octahedra. The corner-sharing octahedral tilt angles range from 44-66°. In the fifth Hf site, Hf(5) is bonded to one N(1), one N(2), one N(3), one N(4), one O(1), and one O(2) atom to form a mixture of distorted edge, face, and corner-sharing HfN4O2 octahedra. The corner-sharing octahedral tilt angles range from 42-64°. In the sixth Hf site, Hf(6) is bonded to one N(5), one N(6), one N(7), one N(8), one O(3), and one O(4) atom to form a mixture of distorted edge, face, and corner-sharing HfN4O2 octahedra. The corner-sharing octahedral tilt angles range from 47-67°. In the seventh Hf site, Hf(7) is bonded to one N(2), one N(4), one N(5), one N(7), one O(2), and one O(3) atom to form a mixture of distorted edge, face, and corner-sharing HfN4O2 octahedra. The corner-sharing octahedral tilt angles range from 45-67°. In the eighth Hf site, Hf(8) is bonded to one N(1), one N(3), one N(6), one N(8), one O(1), and one O(4) atom to form a mixture of distorted edge, face, and corner-sharing HfN4O2 octahedra. The corner-sharing octahedral tilt angles range from 46-66°. There are eight inequivalent N sites. In the first N site, N(1) is bonded to one Hf(1), one Hf(3), one Hf(5), and one Hf(8) atom to form distorted NHf4 trigonal pyramids that share corners with two equivalent N(3)Hf4 trigonal pyramids, corners with two equivalent N(6)Hf4 trigonal pyramids, corners with two equivalent O(1)Hf4 trigonal pyramids, corners with two equivalent O(2)Hf4 trigonal pyramids, corners with two equivalent O(4)Hf4 trigonal pyramids,  an edgeedge with one N(2)Hf4 trigonal pyramid,  an edgeedge with one N(3)Hf4 trigonal pyramid, and  an edgeedge with one O(1)Hf4 trigonal pyramid. In the second N site, N(2) is bonded to one Hf(2), one Hf(3), one Hf(5), and one Hf(7) atom to form distorted NHf4 trigonal pyramids that share corners with two equivalent N(3)Hf4 trigonal pyramids, corners with two equivalent N(5)Hf4 trigonal pyramids, corners with two equivalent O(1)Hf4 trigonal pyramids, corners with two equivalent O(2)Hf4 trigonal pyramids, corners with two equivalent O(3)Hf4 trigonal pyramids,  an edgeedge with one N(1)Hf4 trigonal pyramid,  an edgeedge with one N(7)Hf4 trigonal pyramid, and  an edgeedge with one O(2)Hf4 trigonal pyramid. In the third N site, N(3) is bonded to one Hf(1), one Hf(3), one Hf(5), and one Hf(8) atom to form distorted NHf4 trigonal pyramids that share corners with two equivalent N(1)Hf4 trigonal pyramids, corners with two equivalent N(2)Hf4 trigonal pyramids, corners with two equivalent O(1)Hf4 trigonal pyramids, corners with two equivalent O(2)Hf4 trigonal pyramids, corners with two equivalent O(4)Hf4 trigonal pyramids,  an edgeedge with one N(1)Hf4 trigonal pyramid,  an edgeedge with one N(6)Hf4 trigonal pyramid, and  an edgeedge with one O(1)Hf4 trigonal pyramid. In the fourth N site, N(4) is bonded in a distorted see-saw-like geometry to one Hf(2), one Hf(3), one Hf(5), and one Hf(7) atom. In the fifth N site, N(5) is bonded to one Hf(2), one Hf(4), one Hf(6), and one Hf(7) atom to form distorted NHf4 trigonal pyramids that share corners with two equivalent N(2)Hf4 trigonal pyramids, corners with two equivalent N(6)Hf4 trigonal pyramids, corners with two equivalent N(7)Hf4 trigonal pyramids, corners with two equivalent O(3)Hf4 trigonal pyramids,  an edgeedge with one N(7)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(4)Hf4 trigonal pyramid. In the sixth N site, N(6) is bonded to one Hf(1), one Hf(4), one Hf(6), and one Hf(8) atom to form distorted NHf4 trigonal pyramids that share corners with two equivalent N(1)Hf4 trigonal pyramids, corners with two equivalent N(5)Hf4 trigonal pyramids, corners with two equivalent N(7)Hf4 trigonal pyramids, corners with two equivalent O(1)Hf4 trigonal pyramids, corners with two equivalent O(4)Hf4 trigonal pyramids,  an edgeedge with one N(3)Hf4 trigonal pyramid,  an edgeedge with one O(3)Hf4 trigonal pyramid, and  an edgeedge with one O(4)Hf4 trigonal pyramid. In the seventh N site, N(7) is bonded to one Hf(2), one Hf(4), one Hf(6), and one Hf(7) atom to form distorted NHf4 trigonal pyramids that share corners with two equivalent N(5)Hf4 trigonal pyramids, corners with two equivalent N(6)Hf4 trigonal pyramids, corners with two equivalent O(2)Hf4 trigonal pyramids, corners with two equivalent O(3)Hf4 trigonal pyramids, corners with two equivalent O(4)Hf4 trigonal pyramids,  an edgeedge with one N(2)Hf4 trigonal pyramid,  an edgeedge with one N(5)Hf4 trigonal pyramid, and  an edgeedge with one O(3)Hf4 trigonal pyramid. In the eighth N site, N(8) is bonded in a distorted see-saw-like geometry to one Hf(1), one Hf(4), one Hf(6), and one Hf(8) atom. There are four inequivalent O sites. In the first O site, O(1) is bonded to one Hf(1), one Hf(3), one Hf(5), and one Hf(8) atom to form distorted OHf4 trigonal pyramids that share corners with two equivalent N(1)Hf4 trigonal pyramids, corners with two equivalent N(2)Hf4 trigonal pyramids, corners with two equivalent N(3)Hf4 trigonal pyramids, corners with two equivalent N(6)Hf4 trigonal pyramids,  an edgeedge with one N(1)Hf4 trigonal pyramid,  an edgeedge with one N(3)Hf4 trigonal pyramid,  an edgeedge with one O(2)Hf4 trigonal pyramid, and  an edgeedge with one O(4)Hf4 trigonal pyramid. In the second O site, O(2) is bonded to one Hf(2), one Hf(3), one Hf(5), and one Hf(7) atom to form distorted OHf4 trigonal pyramids that share corners with two equivalent N(1)Hf4 trigonal pyramids, corners with two equivalent N(2)Hf4 trigonal pyramids, corners with two equivalent N(3)Hf4 trigonal pyramids, corners with two equivalent N(7)Hf4 trigonal pyramids, corners with two equivalent O(3)Hf4 trigonal pyramids,  an edgeedge with one N(2)Hf4 trigonal pyramid,  an edgeedge with one N(5)Hf4 trigonal pyramid, and  an edgeedge with one O(1)Hf4 trigonal pyramid. In the third O site, O(3) is bonded to one Hf(2), one Hf(4), one Hf(6), and one Hf(7) atom to form distorted OHf4 trigonal pyramids that share corners with two equivalent N(2)Hf4 trigonal pyramids, corners with two equivalent N(5)Hf4 trigonal pyramids, corners with two equivalent N(7)Hf4 trigonal pyramids, corners with two equivalent O(2)Hf4 trigonal pyramids, corners with two equivalent O(4)Hf4 trigonal pyramids,  an edgeedge with one N(5)Hf4 trigonal pyramid,  an edgeedge with one N(6)Hf4 trigonal pyramid, and  an edgeedge with one N(7)Hf4 trigonal pyramid. In the fourth O site, O(4) is bonded to one Hf(1), one Hf(4), one Hf(6), and one Hf(8) atom to form distorted OHf4 trigonal pyramids that share corners with two equivalent N(1)Hf4 trigonal pyramids, corners with two equivalent N(3)Hf4 trigonal pyramids, corners with two equivalent N(6)Hf4 trigonal pyramids, corners with two equivalent N(7)Hf4 trigonal pyramids, corners with two equivalent O(3)Hf4 trigonal pyramids,  an edgeedge with one N(5)Hf4 trigonal pyramid,  an edgeedge with one N(6)Hf4 trigonal pyramid, and  an edgeedge with one O(1)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   5.437
_cell_length_b   5.476
_cell_length_c   10.194
_cell_angle_alpha   75.504
_cell_angle_beta   75.016
_cell_angle_gamma   60.603
_symmetry_Int_Tables_number   1
_cell_volume   252.647
_cell_formula_units_Z   4
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  0.692  0.687  0.964  1.0
  Hf  Hf1  1  0.830  0.818  0.536  1.0
  Hf  Hf2  1  0.411  0.441  0.714  1.0
  Hf  Hf3  1  0.920  0.952  0.214  1.0
  Hf  Hf4  1  0.087  0.067  0.786  1.0
  Hf  Hf5  1  0.567  0.580  0.285  1.0
  Hf  Hf6  1  0.200  0.168  0.465  1.0
  Hf  Hf7  1  0.319  0.311  0.036  1.0
  N  N8  1  0.084  0.675  0.874  1.0
  N  N9  1  0.418  0.828  0.622  1.0
  N  N10  1  0.384  0.075  0.875  1.0
  N  N11  1  0.112  0.424  0.628  1.0
  N  N12  1  0.170  0.868  0.377  1.0
  N  N13  1  0.622  0.920  0.125  1.0
  N  N14  1  0.578  0.173  0.370  1.0
  N  N15  1  0.921  0.328  0.121  1.0
  O  O16  1  0.681  0.374  0.876  1.0
  O  O17  1  0.812  0.129  0.626  1.0
  O  O18  1  0.873  0.563  0.379  1.0
  O  O19  1  0.319  0.620  0.128  1.0
[/CIF]
.
The structure described by Hf2ON2 is Ilmenite-like structured and crystallizes in the triclinic P1 space group. There are eight inequivalent Hf sites. In the first Hf site, Hf(1) is bonded to one N(1), one N(3), one N(6), one N(8), one O(1), and one O(4) atom to form a mixture of distorted edge, face, and corner-sharing HfN4O2 octahedra. The corner-sharing octahedral tilt angles range from 44-64°. In the second Hf site, Hf(2) is bonded to one N(2), one N(4), one N(5), one N(7), one O(2), and one O(3) atom to form a mixture of distorted edge, face, and corner-sharing HfN4O2 octahedra. The corner-sharing octahedral tilt angles range from 42-66°. In the third Hf site, Hf(3) is bonded to one N(1), one N(2), one N(3), one N(4), one O(1), and one O(2) atom to form a mixture of distorted edge, face, and corner-sharing HfN4O2 octahedra. The corner-sharing octahedral tilt angles range from 46-66°. In the fourth Hf site, Hf(4) is bonded to one N(5), one N(6), one N(7), one N(8), one O(3), and one O(4) atom to form a mixture of distorted edge, face, and corner-sharing HfN4O2 octahedra. The corner-sharing octahedral tilt angles range from 44-66°. In the fifth Hf site, Hf(5) is bonded to one N(1), one N(2), one N(3), one N(4), one O(1), and one O(2) atom to form a mixture of distorted edge, face, and corner-sharing HfN4O2 octahedra. The corner-sharing octahedral tilt angles range from 42-64°. In the sixth Hf site, Hf(6) is bonded to one N(5), one N(6), one N(7), one N(8), one O(3), and one O(4) atom to form a mixture of distorted edge, face, and corner-sharing HfN4O2 octahedra. The corner-sharing octahedral tilt angles range from 47-67°. In the seventh Hf site, Hf(7) is bonded to one N(2), one N(4), one N(5), one N(7), one O(2), and one O(3) atom to form a mixture of distorted edge, face, and corner-sharing HfN4O2 octahedra. The corner-sharing octahedral tilt angles range from 45-67°. In the eighth Hf site, Hf(8) is bonded to one N(1), one N(3), one N(6), one N(8), one O(1), and one O(4) atom to form a mixture of distorted edge, face, and corner-sharing HfN4O2 octahedra. The corner-sharing octahedral tilt angles range from 46-66°. There are eight inequivalent N sites. In the first N site, N(1) is bonded to one Hf(1), one Hf(3), one Hf(5), and one Hf(8) atom to form distorted NHf4 trigonal pyramids that share corners with two equivalent N(3)Hf4 trigonal pyramids, corners with two equivalent N(6)Hf4 trigonal pyramids, corners with two equivalent O(1)Hf4 trigonal pyramids, corners with two equivalent O(2)Hf4 trigonal pyramids, corners with two equivalent O(4)Hf4 trigonal pyramids,  an edgeedge with one N(2)Hf4 trigonal pyramid,  an edgeedge with one N(3)Hf4 trigonal pyramid, and  an edgeedge with one O(1)Hf4 trigonal pyramid. In the second N site, N(2) is bonded to one Hf(2), one Hf(3), one Hf(5), and one Hf(7) atom to form distorted NHf4 trigonal pyramids that share corners with two equivalent N(3)Hf4 trigonal pyramids, corners with two equivalent N(5)Hf4 trigonal pyramids, corners with two equivalent O(1)Hf4 trigonal pyramids, corners with two equivalent O(2)Hf4 trigonal pyramids, corners with two equivalent O(3)Hf4 trigonal pyramids,  an edgeedge with one N(1)Hf4 trigonal pyramid,  an edgeedge with one N(7)Hf4 trigonal pyramid, and  an edgeedge with one O(2)Hf4 trigonal pyramid. In the third N site, N(3) is bonded to one Hf(1), one Hf(3), one Hf(5), and one Hf(8) atom to form distorted NHf4 trigonal pyramids that share corners with two equivalent N(1)Hf4 trigonal pyramids, corners with two equivalent N(2)Hf4 trigonal pyramids, corners with two equivalent O(1)Hf4 trigonal pyramids, corners with two equivalent O(2)Hf4 trigonal pyramids, corners with two equivalent O(4)Hf4 trigonal pyramids,  an edgeedge with one N(1)Hf4 trigonal pyramid,  an edgeedge with one N(6)Hf4 trigonal pyramid, and  an edgeedge with one O(1)Hf4 trigonal pyramid. In the fourth N site, N(4) is bonded in a distorted see-saw-like geometry to one Hf(2), one Hf(3), one Hf(5), and one Hf(7) atom. In the fifth N site, N(5) is bonded to one Hf(2), one Hf(4), one Hf(6), and one Hf(7) atom to form distorted NHf4 trigonal pyramids that share corners with two equivalent N(2)Hf4 trigonal pyramids, corners with two equivalent N(6)Hf4 trigonal pyramids, corners with two equivalent N(7)Hf4 trigonal pyramids, corners with two equivalent O(3)Hf4 trigonal pyramids,  an edgeedge with one N(7)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(4)Hf4 trigonal pyramid. In the sixth N site, N(6) is bonded to one Hf(1), one Hf(4), one Hf(6), and one Hf(8) atom to form distorted NHf4 trigonal pyramids that share corners with two equivalent N(1)Hf4 trigonal pyramids, corners with two equivalent N(5)Hf4 trigonal pyramids, corners with two equivalent N(7)Hf4 trigonal pyramids, corners with two equivalent O(1)Hf4 trigonal pyramids, corners with two equivalent O(4)Hf4 trigonal pyramids,  an edgeedge with one N(3)Hf4 trigonal pyramid,  an edgeedge with one O(3)Hf4 trigonal pyramid, and  an edgeedge with one O(4)Hf4 trigonal pyramid. In the seventh N site, N(7) is bonded to one Hf(2), one Hf(4), one Hf(6), and one Hf(7) atom to form distorted NHf4 trigonal pyramids that share corners with two equivalent N(5)Hf4 trigonal pyramids, corners with two equivalent N(6)Hf4 trigonal pyramids, corners with two equivalent O(2)Hf4 trigonal pyramids, corners with two equivalent O(3)Hf4 trigonal pyramids, corners with two equivalent O(4)Hf4 trigonal pyramids,  an edgeedge with one N(2)Hf4 trigonal pyramid,  an edgeedge with one N(5)Hf4 trigonal pyramid, and  an edgeedge with one O(3)Hf4 trigonal pyramid. In the eighth N site, N(8) is bonded in a distorted see-saw-like geometry to one Hf(1), one Hf(4), one Hf(6), and one Hf(8) atom. There are four inequivalent O sites. In the first O site, O(1) is bonded to one Hf(1), one Hf(3), one Hf(5), and one Hf(8) atom to form distorted OHf4 trigonal pyramids that share corners with two equivalent N(1)Hf4 trigonal pyramids, corners with two equivalent N(2)Hf4 trigonal pyramids, corners with two equivalent N(3)Hf4 trigonal pyramids, corners with two equivalent N(6)Hf4 trigonal pyramids,  an edgeedge with one N(1)Hf4 trigonal pyramid,  an edgeedge with one N(3)Hf4 trigonal pyramid,  an edgeedge with one O(2)Hf4 trigonal pyramid, and  an edgeedge with one O(4)Hf4 trigonal pyramid. In the second O site, O(2) is bonded to one Hf(2), one Hf(3), one Hf(5), and one Hf(7) atom to form distorted OHf4 trigonal pyramids that share corners with two equivalent N(1)Hf4 trigonal pyramids, corners with two equivalent N(2)Hf4 trigonal pyramids, corners with two equivalent N(3)Hf4 trigonal pyramids, corners with two equivalent N(7)Hf4 trigonal pyramids, corners with two equivalent O(3)Hf4 trigonal pyramids,  an edgeedge with one N(2)Hf4 trigonal pyramid,  an edgeedge with one N(5)Hf4 trigonal pyramid, and  an edgeedge with one O(1)Hf4 trigonal pyramid. In the third O site, O(3) is bonded to one Hf(2), one Hf(4), one Hf(6), and one Hf(7) atom to form distorted OHf4 trigonal pyramids that share corners with two equivalent N(2)Hf4 trigonal pyramids, corners with two equivalent N(5)Hf4 trigonal pyramids, corners with two equivalent N(7)Hf4 trigonal pyramids, corners with two equivalent O(2)Hf4 trigonal pyramids, corners with two equivalent O(4)Hf4 trigonal pyramids,  an edgeedge with one N(5)Hf4 trigonal pyramid,  an edgeedge with one N(6)Hf4 trigonal pyramid, and  an edgeedge with one N(7)Hf4 trigonal pyramid. In the fourth O site, O(4) is bonded to one Hf(1), one Hf(4), one Hf(6), and one Hf(8) atom to form distorted OHf4 trigonal pyramids that share corners with two equivalent N(1)Hf4 trigonal pyramids, corners with two equivalent N(3)Hf4 trigonal pyramids, corners with two equivalent N(6)Hf4 trigonal pyramids, corners with two equivalent N(7)Hf4 trigonal pyramids, corners with two equivalent O(3)Hf4 trigonal pyramids,  an edgeedge with one N(5)Hf4 trigonal pyramid,  an edgeedge with one N(6)Hf4 trigonal pyramid, and  an edgeedge with one O(1)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   5.437
_cell_length_b   5.476
_cell_length_c   10.194
_cell_angle_alpha   75.504
_cell_angle_beta   75.016
_cell_angle_gamma   60.603
_symmetry_Int_Tables_number   1
_cell_volume   252.647
_cell_formula_units_Z   4
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  0.692  0.687  0.964  1.0
  Hf  Hf1  1  0.830  0.818  0.536  1.0
  Hf  Hf2  1  0.411  0.441  0.714  1.0
  Hf  Hf3  1  0.920  0.952  0.214  1.0
  Hf  Hf4  1  0.087  0.067  0.786  1.0
  Hf  Hf5  1  0.567  0.580  0.285  1.0
  Hf  Hf6  1  0.200  0.168  0.465  1.0
  Hf  Hf7  1  0.319  0.311  0.036  1.0
  N  N8  1  0.084  0.675  0.874  1.0
  N  N9  1  0.418  0.828  0.622  1.0
  N  N10  1  0.384  0.075  0.875  1.0
  N  N11  1  0.112  0.424  0.628  1.0
  N  N12  1  0.170  0.868  0.377  1.0
  N  N13  1  0.622  0.920  0.125  1.0
  N  N14  1  0.578  0.173  0.370  1.0
  N  N15  1  0.921  0.328  0.121  1.0
  O  O16  1  0.681  0.374  0.876  1.0
  O  O17  1  0.812  0.129  0.626  1.0
  O  O18  1  0.873  0.563  0.379  1.0
  O  O19  1  0.319  0.620  0.128  1.0
[/CIF]
.