The compound described by LiHf8(N2O)4 crystallizes in the triclinic P1 space group. Li(1) is bonded in a 4-coordinate geometry to one N(3), one N(4), one N(7), and one O(4) atom. There are eight inequivalent Hf sites. In the first Hf site, Hf(1) is bonded to one N(1), one N(2), one N(4), one N(6), one O(1), and one O(2) atom to form a mixture of distorted edge and corner-sharing HfN4O2 octahedra. The corner-sharing octahedral tilt angles range from 45-52°. In the second Hf site, Hf(2) is bonded to one N(3), one N(5), one N(7), one N(8), one O(3), and one O(4) atom to form a mixture of edge and corner-sharing HfN4O2 octahedra. The corner-sharing octahedral tilt angles range from 42-49°. In the third Hf site, Hf(3) is bonded in a 6-coordinate geometry to one N(2), one N(5), one N(6), one N(8), one O(1), and one O(3) atom. In the fourth Hf site, Hf(4) is bonded in a 6-coordinate geometry to one N(1), one N(3), one N(4), one N(7), one O(2), and one O(4) atom. In the fifth Hf site, Hf(5) is bonded in a 5-coordinate geometry to one N(1), one N(3), one N(4), one N(7), and one O(2) atom. In the sixth Hf site, Hf(6) is bonded to one N(1), one N(2), one N(4), one N(6), one O(1), and one O(2) atom to form a mixture of distorted edge and corner-sharing HfN4O2 octahedra. The corner-sharing octahedral tilt angles range from 54-68°. In the seventh Hf site, Hf(7) is bonded to one N(2), one N(5), one N(6), one N(8), one O(1), and one O(3) atom to form a mixture of distorted corner and face-sharing HfN4O2 octahedra. The corner-sharing octahedral tilt angles range from 42-68°. In the eighth Hf site, Hf(8) is bonded to one N(3), one N(5), one N(7), one N(8), one O(3), and one O(4) atom to form a mixture of edge and face-sharing HfN4O2 octahedra. There are eight inequivalent N sites. In the first N site, N(1) is bonded in a see-saw-like geometry to one Hf(1), one Hf(4), one Hf(5), and one Hf(6) atom. In the second N site, N(2) is bonded in a distorted see-saw-like geometry to one Hf(1), one Hf(3), one Hf(6), and one Hf(7) atom. In the third N site, N(3) is bonded to one Li(1), one Hf(2), one Hf(4), one Hf(5), and one Hf(8) atom to form distorted NLiHf4 square pyramids that share  a cornercorner with one N(7)LiHf4 trigonal bipyramid, corners with two equivalent O(3)Hf4 trigonal pyramids, edges with two equivalent N(7)LiHf4 trigonal bipyramids,  an edgeedge with one N(8)Hf4 trigonal pyramid, and  a faceface with one N(4)LiHf4 trigonal bipyramid. In the fourth N site, N(4) is bonded to one Li(1), one Hf(1), one Hf(4), one Hf(5), and one Hf(6) atom to form distorted NLiHf4 trigonal bipyramids that share corners with three equivalent N(7)LiHf4 trigonal bipyramids, corners with two equivalent N(6)Hf4 trigonal pyramids, and  a faceface with one N(3)LiHf4 square pyramid. In the fifth N site, N(5) is bonded in a distorted see-saw-like geometry to one Hf(2), one Hf(3), one Hf(7), and one Hf(8) atom. In the sixth N site, N(6) is bonded to one Hf(1), one Hf(3), one Hf(6), and one Hf(7) atom to form distorted NHf4 trigonal pyramids that share corners with two equivalent N(4)LiHf4 trigonal bipyramids, corners with two equivalent N(8)Hf4 trigonal pyramids, and  an edgeedge with one O(3)Hf4 trigonal pyramid. In the seventh N site, N(7) is bonded to one Li(1), one Hf(2), one Hf(4), one Hf(5), and one Hf(8) atom to form NLiHf4 trigonal bipyramids that share  a cornercorner with one N(3)LiHf4 square pyramid, corners with three equivalent N(4)LiHf4 trigonal bipyramids, corners with two equivalent N(8)Hf4 trigonal pyramids, edges with two equivalent N(3)LiHf4 square pyramids, and  an edgeedge with one O(3)Hf4 trigonal pyramid. In the eighth N site, N(8) is bonded to one Hf(2), one Hf(3), one Hf(7), and one Hf(8) atom to form distorted NHf4 trigonal pyramids that share corners with two equivalent N(7)LiHf4 trigonal bipyramids, corners with two equivalent N(6)Hf4 trigonal pyramids, corners with two equivalent O(3)Hf4 trigonal pyramids,  an edgeedge with one N(3)LiHf4 square pyramid, and  an edgeedge with one O(3)Hf4 trigonal pyramid. There are four inequivalent O sites. In the first O site, O(1) is bonded in a 4-coordinate geometry to one Hf(1), one Hf(3), one Hf(6), and one Hf(7) atom. In the second O site, O(2) is bonded in a 4-coordinate geometry to one Hf(1), one Hf(4), one Hf(5), and one Hf(6) atom. In the third O site, O(3) is bonded to one Hf(2), one Hf(3), one Hf(7), and one Hf(8) atom to form distorted OHf4 trigonal pyramids that share corners with two equivalent N(3)LiHf4 square pyramids, corners with two equivalent N(8)Hf4 trigonal pyramids,  an edgeedge with one N(7)LiHf4 trigonal bipyramid,  an edgeedge with one N(6)Hf4 trigonal pyramid, and  an edgeedge with one N(8)Hf4 trigonal pyramid. In the fourth O site, O(4) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Hf(2), one Hf(4), and one Hf(8) atom. is represented by the CIF file [CIF]
data_LiHf8(N2O)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.605
_cell_length_b   5.448
_cell_length_c   10.889
_cell_angle_alpha   87.547
_cell_angle_beta   70.028
_cell_angle_gamma   58.612
_symmetry_Int_Tables_number   1
_cell_volume   262.965
_cell_formula_units_Z   1
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
  Li  Li0  1  0.729  0.490  0.559  1.0
  Hf  Hf1  1  0.079  0.439  0.277  1.0
  Hf  Hf2  1  0.165  0.938  0.782  1.0
  Hf  Hf3  1  0.359  0.369  0.969  1.0
  Hf  Hf4  1  0.499  0.178  0.520  1.0
  Hf  Hf5  1  0.257  0.835  0.462  1.0
  Hf  Hf6  1  0.780  0.109  0.217  1.0
  Hf  Hf7  1  0.627  0.707  0.045  1.0
  Hf  Hf8  1  0.875  0.607  0.747  1.0
  N  N9  1  0.394  0.114  0.358  1.0
  N  N10  1  0.511  0.402  0.126  1.0
  N  N11  1  0.278  0.600  0.634  1.0
  N  N12  1  0.685  0.427  0.381  1.0
  N  N13  1  0.460  0.656  0.882  1.0
  N  N14  1  0.921  0.685  0.130  1.0
  N  N15  1  0.070  0.200  0.625  1.0
  N  N16  1  0.765  0.951  0.890  1.0
  O  O17  1  0.209  0.083  0.134  1.0
  O  O18  1  0.973  0.825  0.384  1.0
  O  O19  1  0.066  0.338  0.889  1.0
  O  O20  1  0.629  0.863  0.640  1.0
[/CIF]
.
The compound described by LiHf8(N2O)4 crystallizes in the triclinic P1 space group. Li(1) is bonded in a 4-coordinate geometry to one N(3), one N(4), one N(7), and one O(4) atom. There are eight inequivalent Hf sites. In the first Hf site, Hf(1) is bonded to one N(1), one N(2), one N(4), one N(6), one O(1), and one O(2) atom to form a mixture of distorted edge and corner-sharing HfN4O2 octahedra. The corner-sharing octahedral tilt angles range from 45-52°. In the second Hf site, Hf(2) is bonded to one N(3), one N(5), one N(7), one N(8), one O(3), and one O(4) atom to form a mixture of edge and corner-sharing HfN4O2 octahedra. The corner-sharing octahedral tilt angles range from 42-49°. In the third Hf site, Hf(3) is bonded in a 6-coordinate geometry to one N(2), one N(5), one N(6), one N(8), one O(1), and one O(3) atom. In the fourth Hf site, Hf(4) is bonded in a 6-coordinate geometry to one N(1), one N(3), one N(4), one N(7), one O(2), and one O(4) atom. In the fifth Hf site, Hf(5) is bonded in a 5-coordinate geometry to one N(1), one N(3), one N(4), one N(7), and one O(2) atom. In the sixth Hf site, Hf(6) is bonded to one N(1), one N(2), one N(4), one N(6), one O(1), and one O(2) atom to form a mixture of distorted edge and corner-sharing HfN4O2 octahedra. The corner-sharing octahedral tilt angles range from 54-68°. In the seventh Hf site, Hf(7) is bonded to one N(2), one N(5), one N(6), one N(8), one O(1), and one O(3) atom to form a mixture of distorted corner and face-sharing HfN4O2 octahedra. The corner-sharing octahedral tilt angles range from 42-68°. In the eighth Hf site, Hf(8) is bonded to one N(3), one N(5), one N(7), one N(8), one O(3), and one O(4) atom to form a mixture of edge and face-sharing HfN4O2 octahedra. There are eight inequivalent N sites. In the first N site, N(1) is bonded in a see-saw-like geometry to one Hf(1), one Hf(4), one Hf(5), and one Hf(6) atom. In the second N site, N(2) is bonded in a distorted see-saw-like geometry to one Hf(1), one Hf(3), one Hf(6), and one Hf(7) atom. In the third N site, N(3) is bonded to one Li(1), one Hf(2), one Hf(4), one Hf(5), and one Hf(8) atom to form distorted NLiHf4 square pyramids that share  a cornercorner with one N(7)LiHf4 trigonal bipyramid, corners with two equivalent O(3)Hf4 trigonal pyramids, edges with two equivalent N(7)LiHf4 trigonal bipyramids,  an edgeedge with one N(8)Hf4 trigonal pyramid, and  a faceface with one N(4)LiHf4 trigonal bipyramid. In the fourth N site, N(4) is bonded to one Li(1), one Hf(1), one Hf(4), one Hf(5), and one Hf(6) atom to form distorted NLiHf4 trigonal bipyramids that share corners with three equivalent N(7)LiHf4 trigonal bipyramids, corners with two equivalent N(6)Hf4 trigonal pyramids, and  a faceface with one N(3)LiHf4 square pyramid. In the fifth N site, N(5) is bonded in a distorted see-saw-like geometry to one Hf(2), one Hf(3), one Hf(7), and one Hf(8) atom. In the sixth N site, N(6) is bonded to one Hf(1), one Hf(3), one Hf(6), and one Hf(7) atom to form distorted NHf4 trigonal pyramids that share corners with two equivalent N(4)LiHf4 trigonal bipyramids, corners with two equivalent N(8)Hf4 trigonal pyramids, and  an edgeedge with one O(3)Hf4 trigonal pyramid. In the seventh N site, N(7) is bonded to one Li(1), one Hf(2), one Hf(4), one Hf(5), and one Hf(8) atom to form NLiHf4 trigonal bipyramids that share  a cornercorner with one N(3)LiHf4 square pyramid, corners with three equivalent N(4)LiHf4 trigonal bipyramids, corners with two equivalent N(8)Hf4 trigonal pyramids, edges with two equivalent N(3)LiHf4 square pyramids, and  an edgeedge with one O(3)Hf4 trigonal pyramid. In the eighth N site, N(8) is bonded to one Hf(2), one Hf(3), one Hf(7), and one Hf(8) atom to form distorted NHf4 trigonal pyramids that share corners with two equivalent N(7)LiHf4 trigonal bipyramids, corners with two equivalent N(6)Hf4 trigonal pyramids, corners with two equivalent O(3)Hf4 trigonal pyramids,  an edgeedge with one N(3)LiHf4 square pyramid, and  an edgeedge with one O(3)Hf4 trigonal pyramid. There are four inequivalent O sites. In the first O site, O(1) is bonded in a 4-coordinate geometry to one Hf(1), one Hf(3), one Hf(6), and one Hf(7) atom. In the second O site, O(2) is bonded in a 4-coordinate geometry to one Hf(1), one Hf(4), one Hf(5), and one Hf(6) atom. In the third O site, O(3) is bonded to one Hf(2), one Hf(3), one Hf(7), and one Hf(8) atom to form distorted OHf4 trigonal pyramids that share corners with two equivalent N(3)LiHf4 square pyramids, corners with two equivalent N(8)Hf4 trigonal pyramids,  an edgeedge with one N(7)LiHf4 trigonal bipyramid,  an edgeedge with one N(6)Hf4 trigonal pyramid, and  an edgeedge with one N(8)Hf4 trigonal pyramid. In the fourth O site, O(4) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Hf(2), one Hf(4), and one Hf(8) atom. is represented by the CIF file [CIF]
data_LiHf8(N2O)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.605
_cell_length_b   5.448
_cell_length_c   10.889
_cell_angle_alpha   87.547
_cell_angle_beta   70.028
_cell_angle_gamma   58.612
_symmetry_Int_Tables_number   1
_cell_volume   262.965
_cell_formula_units_Z   1
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
  Li  Li0  1  0.729  0.490  0.559  1.0
  Hf  Hf1  1  0.079  0.439  0.277  1.0
  Hf  Hf2  1  0.165  0.938  0.782  1.0
  Hf  Hf3  1  0.359  0.369  0.969  1.0
  Hf  Hf4  1  0.499  0.178  0.520  1.0
  Hf  Hf5  1  0.257  0.835  0.462  1.0
  Hf  Hf6  1  0.780  0.109  0.217  1.0
  Hf  Hf7  1  0.627  0.707  0.045  1.0
  Hf  Hf8  1  0.875  0.607  0.747  1.0
  N  N9  1  0.394  0.114  0.358  1.0
  N  N10  1  0.511  0.402  0.126  1.0
  N  N11  1  0.278  0.600  0.634  1.0
  N  N12  1  0.685  0.427  0.381  1.0
  N  N13  1  0.460  0.656  0.882  1.0
  N  N14  1  0.921  0.685  0.130  1.0
  N  N15  1  0.070  0.200  0.625  1.0
  N  N16  1  0.765  0.951  0.890  1.0
  O  O17  1  0.209  0.083  0.134  1.0
  O  O18  1  0.973  0.825  0.384  1.0
  O  O19  1  0.066  0.338  0.889  1.0
  O  O20  1  0.629  0.863  0.640  1.0
[/CIF]
.