The structure described by LiHf8(N2O)4 crystallizes in the triclinic P1 space group. Li(1) 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 LiN4O2 octahedra that share corners with three equivalent Hf(1)N4O2 octahedra, corners with three equivalent Hf(8)N4O2 octahedra, edges with three equivalent Hf(7)N4O2 octahedra,  a faceface with one Hf(2)N4O2 octahedra, and  a faceface with one Hf(6)N4O2 octahedra. The corner-sharing octahedral tilt angles range from 38-45°. 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 distorted HfN4O2 octahedra that share corners with three equivalent Li(1)N4O2 octahedra, corners with three equivalent Hf(4)N4O2 octahedra, corners with three equivalent Hf(5)N4O2 octahedra, corners with three equivalent Hf(7)N4O2 octahedra, and edges with three equivalent Hf(6)N4O2 octahedra. The corner-sharing octahedral tilt angles range from 40-64°. 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 distorted HfN4O2 octahedra that share corners with three equivalent Hf(4)N4O2 octahedra, corners with three equivalent Hf(7)N4O2 octahedra, edges with three equivalent Hf(8)N4O2 octahedra,  a faceface with one Li(1)N4O2 octahedra, and  a faceface with one Hf(5)N4O2 octahedra. The corner-sharing octahedral tilt angles range from 39-54°. 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 to one N(1), one N(3), one N(4), one N(7), one O(2), and one O(4) atom to form a mixture of distorted corner, edge, and face-sharing HfN4O2 octahedra. The corner-sharing octahedral tilt angles range from 40-64°. In the fifth Hf site, Hf(5) is bonded to one N(1), one N(3), one N(4), one N(7), one O(2), and one O(4) atom to form a mixture of distorted corner, edge, and face-sharing HfN4O2 octahedra. The corner-sharing octahedral tilt angles range from 43-64°. 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 distorted HfN4O2 octahedra that share corners with three equivalent Hf(5)N4O2 octahedra, corners with three equivalent Hf(7)N4O2 octahedra, edges with three equivalent Hf(1)N4O2 octahedra,  a faceface with one Li(1)N4O2 octahedra, and  a faceface with one Hf(4)N4O2 octahedra. The corner-sharing octahedral tilt angles range from 45-66°. 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 distorted HfN4O2 octahedra that share corners with three equivalent Hf(1)N4O2 octahedra, corners with three equivalent Hf(2)N4O2 octahedra, corners with three equivalent Hf(6)N4O2 octahedra, edges with three equivalent Li(1)N4O2 octahedra, and  a faceface with one Hf(8)N4O2 octahedra. The corner-sharing octahedral tilt angles range from 39-66°. 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 distorted HfN4O2 octahedra that share corners with three equivalent Li(1)N4O2 octahedra, corners with three equivalent Hf(4)N4O2 octahedra, corners with three equivalent Hf(5)N4O2 octahedra, edges with three equivalent Hf(2)N4O2 octahedra, and  a faceface with one Hf(7)N4O2 octahedra. The corner-sharing octahedral tilt angles range from 38-64°. There are eight inequivalent N sites. In the first N site, N(1) is bonded to one Hf(1), one Hf(4), one Hf(5), and one Hf(6) atom to form distorted NHf4 trigonal pyramids that share corners with two equivalent N(6)LiHf4 trigonal bipyramids, corners with two equivalent O(1)LiHf4 trigonal bipyramids, corners with two equivalent N(3)Hf4 trigonal pyramids,  an edgeedge with one N(2)LiHf4 trigonal bipyramid, and  an edgeedge with one O(4)Hf4 trigonal pyramid. In the second N site, N(2) is bonded to one Li(1), one Hf(1), one Hf(3), one Hf(6), and one Hf(7) atom to form distorted NLiHf4 trigonal bipyramids that share  a cornercorner with one N(5)LiHf4 trigonal bipyramid,  a cornercorner with one N(6)LiHf4 trigonal bipyramid,  a cornercorner with one N(8)LiHf4 trigonal bipyramid,  a cornercorner with one O(1)LiHf4 trigonal bipyramid,  a cornercorner with one O(3)LiHf4 trigonal bipyramid,  an edgeedge with one N(5)LiHf4 trigonal bipyramid,  an edgeedge with one N(8)LiHf4 trigonal bipyramid,  an edgeedge with one O(3)LiHf4 trigonal bipyramid, edges with two equivalent N(6)LiHf4 trigonal bipyramids, edges with two equivalent O(1)LiHf4 trigonal bipyramids, and  an edgeedge with one N(1)Hf4 trigonal pyramid. In the third N site, N(3) is bonded to one Hf(2), one Hf(4), one Hf(5), and one Hf(8) atom to form distorted NHf4 trigonal pyramids that share corners with two equivalent N(5)LiHf4 trigonal bipyramids, corners with two equivalent O(3)LiHf4 trigonal bipyramids, corners with two equivalent N(1)Hf4 trigonal pyramids, corners with two equivalent O(4)Hf4 trigonal pyramids,  an edgeedge with one N(8)LiHf4 trigonal bipyramid, and  an edgeedge with one O(4)Hf4 trigonal pyramid. In the fourth N site, N(4) is bonded in a distorted see-saw-like geometry to one Hf(1), one Hf(4), one Hf(5), and one Hf(6) atom. In the fifth N site, N(5) is bonded to one Li(1), one Hf(2), one Hf(3), one Hf(7), and one Hf(8) atom to form distorted NLiHf4 trigonal bipyramids that share  a cornercorner with one N(2)LiHf4 trigonal bipyramid,  a cornercorner with one N(6)LiHf4 trigonal bipyramid,  a cornercorner with one N(8)LiHf4 trigonal bipyramid,  a cornercorner with one O(1)LiHf4 trigonal bipyramid,  a cornercorner with one O(3)LiHf4 trigonal bipyramid, corners with two equivalent N(3)Hf4 trigonal pyramids,  an edgeedge with one N(2)LiHf4 trigonal bipyramid,  an edgeedge with one N(6)LiHf4 trigonal bipyramid,  an edgeedge with one O(1)LiHf4 trigonal bipyramid, edges with two equivalent N(8)LiHf4 trigonal bipyramids, edges with two equivalent O(3)LiHf4 trigonal bipyramids, and  an edgeedge with one O(4)Hf4 trigonal pyramid. In the sixth N site, N(6) is bonded to one Li(1), one Hf(1), one Hf(3), one Hf(6), and one Hf(7) atom to form distorted NLiHf4 trigonal bipyramids that share  a cornercorner with one N(2)LiHf4 trigonal bipyramid,  a cornercorner with one N(5)LiHf4 trigonal bipyramid,  a cornercorner with one N(8)LiHf4 trigonal bipyramid,  a cornercorner with one O(1)LiHf4 trigonal bipyramid,  a cornercorner with one O(3)LiHf4 trigonal bipyramid, corners with two equivalent N(1)Hf4 trigonal pyramids,  an edgeedge with one N(5)LiHf4 trigonal bipyramid,  an edgeedge with one N(8)LiHf4 trigonal bipyramid,  an edgeedge with one O(3)LiHf4 trigonal bipyramid, edges with two equivalent N(2)LiHf4 trigonal bipyramids, and edges with two equivalent O(1)LiHf4 trigonal bipyramids. In the seventh N site, N(7) is bonded in a distorted see-saw-like geometry to one Hf(2), one Hf(4), one Hf(5), and one Hf(8) atom. In the eighth N site, N(8) is bonded to one Li(1), one Hf(2), one Hf(3), one Hf(7), and one Hf(8) atom to form distorted NLiHf4 trigonal bipyramids that share  a cornercorner with one N(2)LiHf4 trigonal bipyramid,  a cornercorner with one N(5)LiHf4 trigonal bipyramid,  a cornercorner with one N(6)LiHf4 trigonal bipyramid,  a cornercorner with one O(1)LiHf4 trigonal bipyramid,  a cornercorner with one O(3)LiHf4 trigonal bipyramid, corners with two equivalent O(4)Hf4 trigonal pyramids,  an edgeedge with one N(2)LiHf4 trigonal bipyramid,  an edgeedge with one N(6)LiHf4 trigonal bipyramid,  an edgeedge with one O(1)LiHf4 trigonal bipyramid, edges with two equivalent N(5)LiHf4 trigonal bipyramids, edges with two equivalent O(3)LiHf4 trigonal bipyramids, and  an edgeedge with one N(3)Hf4 trigonal pyramid. There are four inequivalent O sites. In the first O site, O(1) is bonded to one Li(1), one Hf(1), one Hf(3), one Hf(6), and one Hf(7) atom to form distorted OLiHf4 trigonal bipyramids that share  a cornercorner with one N(2)LiHf4 trigonal bipyramid,  a cornercorner with one N(5)LiHf4 trigonal bipyramid,  a cornercorner with one N(6)LiHf4 trigonal bipyramid,  a cornercorner with one N(8)LiHf4 trigonal bipyramid,  a cornercorner with one O(3)LiHf4 trigonal bipyramid, corners with two equivalent N(1)Hf4 trigonal pyramids,  an edgeedge with one N(5)LiHf4 trigonal bipyramid,  an edgeedge with one N(8)LiHf4 trigonal bipyramid,  an edgeedge with one O(3)LiHf4 trigonal bipyramid, edges with two equivalent N(2)LiHf4 trigonal bipyramids, and edges with two equivalent N(6)LiHf4 trigonal bipyramids. 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 Li(1), one Hf(2), one Hf(3), one Hf(7), and one Hf(8) atom to form distorted OLiHf4 trigonal bipyramids that share  a cornercorner with one N(2)LiHf4 trigonal bipyramid,  a cornercorner with one N(5)LiHf4 trigonal bipyramid,  a cornercorner with one N(6)LiHf4 trigonal bipyramid,  a cornercorner with one N(8)LiHf4 trigonal bipyramid,  a cornercorner with one O(1)LiHf4 trigonal bipyramid, corners with two equivalent N(3)Hf4 trigonal pyramids, corners with two equivalent O(4)Hf4 trigonal pyramids,  an edgeedge with one N(2)LiHf4 trigonal bipyramid,  an edgeedge with one N(6)LiHf4 trigonal bipyramid,  an edgeedge with one O(1)LiHf4 trigonal bipyramid, edges with two equivalent N(5)LiHf4 trigonal bipyramids, and edges with two equivalent N(8)LiHf4 trigonal bipyramids. In the fourth O site, O(4) is bonded to one Hf(2), one Hf(4), one Hf(5), and one Hf(8) atom to form distorted OHf4 trigonal pyramids that share corners with two equivalent N(8)LiHf4 trigonal bipyramids, corners with two equivalent O(3)LiHf4 trigonal bipyramids, corners with two equivalent N(3)Hf4 trigonal pyramids,  an edgeedge with one N(5)LiHf4 trigonal bipyramid,  an edgeedge with one N(1)Hf4 trigonal pyramid, and  an edgeedge with one N(3)Hf4 trigonal pyramid. is represented by the CIF file [CIF]
data_LiHf8(N2O)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.446
_cell_length_b   5.464
_cell_length_c   10.523
_cell_angle_alpha   89.987
_cell_angle_beta   76.118
_cell_angle_gamma   59.381
_symmetry_Int_Tables_number   1
_cell_volume   258.755
_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  0.025  0.971  0.998  1.0
  Hf  Hf1  1  0.134  0.409  0.274  1.0
  Hf  Hf2  1  0.141  0.894  0.757  1.0
  Hf  Hf3  1  0.379  0.322  0.959  1.0
  Hf  Hf4  1  0.629  0.183  0.534  1.0
  Hf  Hf5  1  0.358  0.809  0.459  1.0
  Hf  Hf6  1  0.816  0.076  0.238  1.0
  Hf  Hf7  1  0.654  0.669  0.034  1.0
  Hf  Hf8  1  0.846  0.552  0.720  1.0
  N  N9  1  0.450  0.105  0.372  1.0
  N  N10  1  0.582  0.335  0.112  1.0
  N  N11  1  0.244  0.556  0.623  1.0
  N  N12  1  0.757  0.404  0.378  1.0
  N  N13  1  0.449  0.627  0.873  1.0
  N  N14  1  0.973  0.657  0.118  1.0
  N  N15  1  0.958  0.165  0.617  1.0
  N  N16  1  0.769  0.904  0.877  1.0
  O  O17  1  0.248  0.040  0.125  1.0
  O  O18  1  0.065  0.786  0.372  1.0
  O  O19  1  0.064  0.288  0.876  1.0
  O  O20  1  0.564  0.851  0.617  1.0
[/CIF]
.
The structure described by LiHf8(N2O)4 crystallizes in the triclinic P1 space group. Li(1) 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 LiN4O2 octahedra that share corners with three equivalent Hf(1)N4O2 octahedra, corners with three equivalent Hf(8)N4O2 octahedra, edges with three equivalent Hf(7)N4O2 octahedra,  a faceface with one Hf(2)N4O2 octahedra, and  a faceface with one Hf(6)N4O2 octahedra. The corner-sharing octahedral tilt angles range from 38-45°. 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 distorted HfN4O2 octahedra that share corners with three equivalent Li(1)N4O2 octahedra, corners with three equivalent Hf(4)N4O2 octahedra, corners with three equivalent Hf(5)N4O2 octahedra, corners with three equivalent Hf(7)N4O2 octahedra, and edges with three equivalent Hf(6)N4O2 octahedra. The corner-sharing octahedral tilt angles range from 40-64°. 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 distorted HfN4O2 octahedra that share corners with three equivalent Hf(4)N4O2 octahedra, corners with three equivalent Hf(7)N4O2 octahedra, edges with three equivalent Hf(8)N4O2 octahedra,  a faceface with one Li(1)N4O2 octahedra, and  a faceface with one Hf(5)N4O2 octahedra. The corner-sharing octahedral tilt angles range from 39-54°. 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 to one N(1), one N(3), one N(4), one N(7), one O(2), and one O(4) atom to form a mixture of distorted corner, edge, and face-sharing HfN4O2 octahedra. The corner-sharing octahedral tilt angles range from 40-64°. In the fifth Hf site, Hf(5) is bonded to one N(1), one N(3), one N(4), one N(7), one O(2), and one O(4) atom to form a mixture of distorted corner, edge, and face-sharing HfN4O2 octahedra. The corner-sharing octahedral tilt angles range from 43-64°. 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 distorted HfN4O2 octahedra that share corners with three equivalent Hf(5)N4O2 octahedra, corners with three equivalent Hf(7)N4O2 octahedra, edges with three equivalent Hf(1)N4O2 octahedra,  a faceface with one Li(1)N4O2 octahedra, and  a faceface with one Hf(4)N4O2 octahedra. The corner-sharing octahedral tilt angles range from 45-66°. 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 distorted HfN4O2 octahedra that share corners with three equivalent Hf(1)N4O2 octahedra, corners with three equivalent Hf(2)N4O2 octahedra, corners with three equivalent Hf(6)N4O2 octahedra, edges with three equivalent Li(1)N4O2 octahedra, and  a faceface with one Hf(8)N4O2 octahedra. The corner-sharing octahedral tilt angles range from 39-66°. 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 distorted HfN4O2 octahedra that share corners with three equivalent Li(1)N4O2 octahedra, corners with three equivalent Hf(4)N4O2 octahedra, corners with three equivalent Hf(5)N4O2 octahedra, edges with three equivalent Hf(2)N4O2 octahedra, and  a faceface with one Hf(7)N4O2 octahedra. The corner-sharing octahedral tilt angles range from 38-64°. There are eight inequivalent N sites. In the first N site, N(1) is bonded to one Hf(1), one Hf(4), one Hf(5), and one Hf(6) atom to form distorted NHf4 trigonal pyramids that share corners with two equivalent N(6)LiHf4 trigonal bipyramids, corners with two equivalent O(1)LiHf4 trigonal bipyramids, corners with two equivalent N(3)Hf4 trigonal pyramids,  an edgeedge with one N(2)LiHf4 trigonal bipyramid, and  an edgeedge with one O(4)Hf4 trigonal pyramid. In the second N site, N(2) is bonded to one Li(1), one Hf(1), one Hf(3), one Hf(6), and one Hf(7) atom to form distorted NLiHf4 trigonal bipyramids that share  a cornercorner with one N(5)LiHf4 trigonal bipyramid,  a cornercorner with one N(6)LiHf4 trigonal bipyramid,  a cornercorner with one N(8)LiHf4 trigonal bipyramid,  a cornercorner with one O(1)LiHf4 trigonal bipyramid,  a cornercorner with one O(3)LiHf4 trigonal bipyramid,  an edgeedge with one N(5)LiHf4 trigonal bipyramid,  an edgeedge with one N(8)LiHf4 trigonal bipyramid,  an edgeedge with one O(3)LiHf4 trigonal bipyramid, edges with two equivalent N(6)LiHf4 trigonal bipyramids, edges with two equivalent O(1)LiHf4 trigonal bipyramids, and  an edgeedge with one N(1)Hf4 trigonal pyramid. In the third N site, N(3) is bonded to one Hf(2), one Hf(4), one Hf(5), and one Hf(8) atom to form distorted NHf4 trigonal pyramids that share corners with two equivalent N(5)LiHf4 trigonal bipyramids, corners with two equivalent O(3)LiHf4 trigonal bipyramids, corners with two equivalent N(1)Hf4 trigonal pyramids, corners with two equivalent O(4)Hf4 trigonal pyramids,  an edgeedge with one N(8)LiHf4 trigonal bipyramid, and  an edgeedge with one O(4)Hf4 trigonal pyramid. In the fourth N site, N(4) is bonded in a distorted see-saw-like geometry to one Hf(1), one Hf(4), one Hf(5), and one Hf(6) atom. In the fifth N site, N(5) is bonded to one Li(1), one Hf(2), one Hf(3), one Hf(7), and one Hf(8) atom to form distorted NLiHf4 trigonal bipyramids that share  a cornercorner with one N(2)LiHf4 trigonal bipyramid,  a cornercorner with one N(6)LiHf4 trigonal bipyramid,  a cornercorner with one N(8)LiHf4 trigonal bipyramid,  a cornercorner with one O(1)LiHf4 trigonal bipyramid,  a cornercorner with one O(3)LiHf4 trigonal bipyramid, corners with two equivalent N(3)Hf4 trigonal pyramids,  an edgeedge with one N(2)LiHf4 trigonal bipyramid,  an edgeedge with one N(6)LiHf4 trigonal bipyramid,  an edgeedge with one O(1)LiHf4 trigonal bipyramid, edges with two equivalent N(8)LiHf4 trigonal bipyramids, edges with two equivalent O(3)LiHf4 trigonal bipyramids, and  an edgeedge with one O(4)Hf4 trigonal pyramid. In the sixth N site, N(6) is bonded to one Li(1), one Hf(1), one Hf(3), one Hf(6), and one Hf(7) atom to form distorted NLiHf4 trigonal bipyramids that share  a cornercorner with one N(2)LiHf4 trigonal bipyramid,  a cornercorner with one N(5)LiHf4 trigonal bipyramid,  a cornercorner with one N(8)LiHf4 trigonal bipyramid,  a cornercorner with one O(1)LiHf4 trigonal bipyramid,  a cornercorner with one O(3)LiHf4 trigonal bipyramid, corners with two equivalent N(1)Hf4 trigonal pyramids,  an edgeedge with one N(5)LiHf4 trigonal bipyramid,  an edgeedge with one N(8)LiHf4 trigonal bipyramid,  an edgeedge with one O(3)LiHf4 trigonal bipyramid, edges with two equivalent N(2)LiHf4 trigonal bipyramids, and edges with two equivalent O(1)LiHf4 trigonal bipyramids. In the seventh N site, N(7) is bonded in a distorted see-saw-like geometry to one Hf(2), one Hf(4), one Hf(5), and one Hf(8) atom. In the eighth N site, N(8) is bonded to one Li(1), one Hf(2), one Hf(3), one Hf(7), and one Hf(8) atom to form distorted NLiHf4 trigonal bipyramids that share  a cornercorner with one N(2)LiHf4 trigonal bipyramid,  a cornercorner with one N(5)LiHf4 trigonal bipyramid,  a cornercorner with one N(6)LiHf4 trigonal bipyramid,  a cornercorner with one O(1)LiHf4 trigonal bipyramid,  a cornercorner with one O(3)LiHf4 trigonal bipyramid, corners with two equivalent O(4)Hf4 trigonal pyramids,  an edgeedge with one N(2)LiHf4 trigonal bipyramid,  an edgeedge with one N(6)LiHf4 trigonal bipyramid,  an edgeedge with one O(1)LiHf4 trigonal bipyramid, edges with two equivalent N(5)LiHf4 trigonal bipyramids, edges with two equivalent O(3)LiHf4 trigonal bipyramids, and  an edgeedge with one N(3)Hf4 trigonal pyramid. There are four inequivalent O sites. In the first O site, O(1) is bonded to one Li(1), one Hf(1), one Hf(3), one Hf(6), and one Hf(7) atom to form distorted OLiHf4 trigonal bipyramids that share  a cornercorner with one N(2)LiHf4 trigonal bipyramid,  a cornercorner with one N(5)LiHf4 trigonal bipyramid,  a cornercorner with one N(6)LiHf4 trigonal bipyramid,  a cornercorner with one N(8)LiHf4 trigonal bipyramid,  a cornercorner with one O(3)LiHf4 trigonal bipyramid, corners with two equivalent N(1)Hf4 trigonal pyramids,  an edgeedge with one N(5)LiHf4 trigonal bipyramid,  an edgeedge with one N(8)LiHf4 trigonal bipyramid,  an edgeedge with one O(3)LiHf4 trigonal bipyramid, edges with two equivalent N(2)LiHf4 trigonal bipyramids, and edges with two equivalent N(6)LiHf4 trigonal bipyramids. 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 Li(1), one Hf(2), one Hf(3), one Hf(7), and one Hf(8) atom to form distorted OLiHf4 trigonal bipyramids that share  a cornercorner with one N(2)LiHf4 trigonal bipyramid,  a cornercorner with one N(5)LiHf4 trigonal bipyramid,  a cornercorner with one N(6)LiHf4 trigonal bipyramid,  a cornercorner with one N(8)LiHf4 trigonal bipyramid,  a cornercorner with one O(1)LiHf4 trigonal bipyramid, corners with two equivalent N(3)Hf4 trigonal pyramids, corners with two equivalent O(4)Hf4 trigonal pyramids,  an edgeedge with one N(2)LiHf4 trigonal bipyramid,  an edgeedge with one N(6)LiHf4 trigonal bipyramid,  an edgeedge with one O(1)LiHf4 trigonal bipyramid, edges with two equivalent N(5)LiHf4 trigonal bipyramids, and edges with two equivalent N(8)LiHf4 trigonal bipyramids. In the fourth O site, O(4) is bonded to one Hf(2), one Hf(4), one Hf(5), and one Hf(8) atom to form distorted OHf4 trigonal pyramids that share corners with two equivalent N(8)LiHf4 trigonal bipyramids, corners with two equivalent O(3)LiHf4 trigonal bipyramids, corners with two equivalent N(3)Hf4 trigonal pyramids,  an edgeedge with one N(5)LiHf4 trigonal bipyramid,  an edgeedge with one N(1)Hf4 trigonal pyramid, and  an edgeedge with one N(3)Hf4 trigonal pyramid. is represented by the CIF file [CIF]
data_LiHf8(N2O)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.446
_cell_length_b   5.464
_cell_length_c   10.523
_cell_angle_alpha   89.987
_cell_angle_beta   76.118
_cell_angle_gamma   59.381
_symmetry_Int_Tables_number   1
_cell_volume   258.755
_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  0.025  0.971  0.998  1.0
  Hf  Hf1  1  0.134  0.409  0.274  1.0
  Hf  Hf2  1  0.141  0.894  0.757  1.0
  Hf  Hf3  1  0.379  0.322  0.959  1.0
  Hf  Hf4  1  0.629  0.183  0.534  1.0
  Hf  Hf5  1  0.358  0.809  0.459  1.0
  Hf  Hf6  1  0.816  0.076  0.238  1.0
  Hf  Hf7  1  0.654  0.669  0.034  1.0
  Hf  Hf8  1  0.846  0.552  0.720  1.0
  N  N9  1  0.450  0.105  0.372  1.0
  N  N10  1  0.582  0.335  0.112  1.0
  N  N11  1  0.244  0.556  0.623  1.0
  N  N12  1  0.757  0.404  0.378  1.0
  N  N13  1  0.449  0.627  0.873  1.0
  N  N14  1  0.973  0.657  0.118  1.0
  N  N15  1  0.958  0.165  0.617  1.0
  N  N16  1  0.769  0.904  0.877  1.0
  O  O17  1  0.248  0.040  0.125  1.0
  O  O18  1  0.065  0.786  0.372  1.0
  O  O19  1  0.064  0.288  0.876  1.0
  O  O20  1  0.564  0.851  0.617  1.0
[/CIF]
.