The material structure described by Li4Fe3Ni3(TeO8)2 is Spinel-derived structured and crystallizes in the monoclinic Cm space group. There are four inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(12), one O(3), and two equivalent O(9) atoms to form LiO4 tetrahedra that share  a cornercorner with one Ni(1)O6 octahedra, corners with two equivalent Fe(1)O6 octahedra, corners with two equivalent Fe(2)O6 octahedra, corners with three equivalent Te(2)O6 octahedra, and corners with four equivalent Ni(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-62°. In the second Li site, Li(2) is bonded to one O(5), one O(7), and two equivalent O(11) atoms to form distorted LiO4 trigonal pyramids that share  a cornercorner with one Fe(2)O6 octahedra, corners with two equivalent Ni(2)O6 octahedra, corners with three equivalent Te(2)O6 octahedra,  an edgeedge with one Ni(1)O6 octahedra, and edges with two equivalent Fe(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 63-66°. In the third Li site, Li(3) is bonded to one O(4), one O(8), and two equivalent O(1) atoms to form distorted LiO4 tetrahedra that share  a cornercorner with one Ni(1)O6 octahedra, corners with two equivalent Fe(1)O6 octahedra, corners with three equivalent Te(1)O6 octahedra,  an edgeedge with one Fe(2)O6 octahedra, and edges with two equivalent Ni(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 61-67°. In the fourth Li site, Li(4) is bonded to one O(10), one O(2), and two equivalent O(6) atoms to form LiO4 tetrahedra that share  a cornercorner with one Fe(2)O6 octahedra, corners with two equivalent Ni(1)O6 octahedra, corners with two equivalent Ni(2)O6 octahedra, corners with three equivalent Te(1)O6 octahedra, and corners with four equivalent Fe(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-61°. There are two inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to one O(11), one O(2), one O(3), one O(4), one O(6), and one O(7) atom to form FeO6 octahedra that share corners with two equivalent Te(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Te(1)O6 octahedra, edges with two equivalent Fe(1)O6 octahedra, edges with two equivalent Ni(1)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 49°. In the second Fe site, Fe(2) is bonded to one O(10), one O(5), two equivalent O(1), and two equivalent O(9) atoms to form FeO6 octahedra that share corners with two equivalent Te(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 trigonal pyramid,  an edgeedge with one Te(2)O6 octahedra, edges with four equivalent Ni(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 49°. There are two inequivalent Ni sites. In the first Ni site, Ni(1) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form NiO6 octahedra that share corners with two equivalent Te(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Te(1)O6 octahedra, edges with four equivalent Fe(1)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 50°. In the second Ni site, Ni(2) is bonded to one O(1), one O(10), one O(12), one O(5), one O(8), and one O(9) atom to form NiO6 octahedra that share corners with two equivalent Te(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 trigonal pyramid,  an edgeedge with one Te(2)O6 octahedra, edges with two equivalent Fe(2)O6 octahedra, edges with two equivalent Ni(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 50°. There are two inequivalent Te sites. In the first Te site, Te(1) is bonded to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms to form TeO6 octahedra that share corners with two equivalent Fe(2)O6 octahedra, corners with four equivalent Ni(2)O6 octahedra, corners with three equivalent Li(3)O4 tetrahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Ni(1)O6 octahedra, and edges with two equivalent Fe(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-50°. In the second Te site, Te(2) is bonded to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form TeO6 octahedra that share corners with two equivalent Ni(1)O6 octahedra, corners with four equivalent Fe(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra, corners with three equivalent Li(2)O4 trigonal pyramids,  an edgeedge with one Fe(2)O6 octahedra, and edges with two equivalent Ni(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-50°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to one Li(3), one Fe(2), one Ni(2), and one Te(1) atom. In the second O site, O(2) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), two equivalent Fe(1), and one Te(1) atom. In the third O site, O(3) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), two equivalent Fe(1), and one Ni(1) atom. In the fourth O site, O(4) is bonded in a tetrahedral geometry to one Li(3), two equivalent Fe(1), and one Ni(1) atom. In the fifth O site, O(5) is bonded to one Li(2), one Fe(2), and two equivalent Ni(2) atoms to form corner-sharing OLiFeNi2 tetrahedra. In the sixth O site, O(6) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), one Fe(1), one Ni(1), and one Te(1) atom. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Li(2), two equivalent Fe(1), and one Te(2) atom. In the eighth O site, O(8) is bonded in a rectangular see-saw-like geometry to one Li(3), two equivalent Ni(2), and one Te(1) atom. In the ninth O site, O(9) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Fe(2), one Ni(2), and one Te(2) atom. In the tenth O site, O(10) is bonded to one Li(4), one Fe(2), and two equivalent Ni(2) atoms to form distorted corner-sharing OLiFeNi2 tetrahedra. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one Fe(1), one Ni(1), and one Te(2) atom. In the twelfth O site, O(12) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), two equivalent Ni(2), and one Te(2) atom. is represented by the CIF file [CIF]
data_Li4Fe3Ni3(TeO8)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.941
_cell_length_b   5.941
_cell_length_c   9.707
_cell_angle_alpha   89.693
_cell_angle_beta   89.693
_cell_angle_gamma   59.960
_symmetry_Int_Tables_number   1
_cell_volume   296.621
_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  0.665  0.665  0.091  1.0
  Li  Li1  1  0.997  0.997  0.016  1.0
  Li  Li2  1  0.998  0.998  0.513  1.0
  Li  Li3  1  0.333  0.333  0.588  1.0
  Fe  Fe4  1  0.341  0.831  0.787  1.0
  Fe  Fe5  1  0.831  0.341  0.787  1.0
  Fe  Fe6  1  0.171  0.171  0.287  1.0
  Ni  Ni7  1  0.828  0.828  0.789  1.0
  Ni  Ni8  1  0.171  0.659  0.288  1.0
  Ni  Ni9  1  0.659  0.171  0.288  1.0
  Te  Te10  1  0.669  0.669  0.515  1.0
  Te  Te11  1  0.336  0.336  0.018  1.0
  O  O12  1  0.345  0.832  0.409  1.0
  O  O13  1  0.519  0.519  0.647  1.0
  O  O14  1  0.661  0.661  0.891  1.0
  O  O15  1  0.003  0.003  0.702  1.0
  O  O16  1  0.002  0.002  0.204  1.0
  O  O17  1  0.832  0.345  0.409  1.0
  O  O18  1  0.515  0.962  0.647  1.0
  O  O19  1  0.962  0.515  0.647  1.0
  O  O20  1  0.173  0.173  0.908  1.0
  O  O21  1  0.831  0.831  0.410  1.0
  O  O22  1  0.036  0.477  0.147  1.0
  O  O23  1  0.477  0.036  0.147  1.0
  O  O24  1  0.330  0.330  0.388  1.0
  O  O25  1  0.174  0.658  0.911  1.0
  O  O26  1  0.481  0.481  0.149  1.0
  O  O27  1  0.658  0.174  0.911  1.0
[/CIF]
.
The material structure described by Li4Fe3Ni3(TeO8)2 is Spinel-derived structured and crystallizes in the monoclinic Cm space group. There are four inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(12), one O(3), and two equivalent O(9) atoms to form LiO4 tetrahedra that share  a cornercorner with one Ni(1)O6 octahedra, corners with two equivalent Fe(1)O6 octahedra, corners with two equivalent Fe(2)O6 octahedra, corners with three equivalent Te(2)O6 octahedra, and corners with four equivalent Ni(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-62°. In the second Li site, Li(2) is bonded to one O(5), one O(7), and two equivalent O(11) atoms to form distorted LiO4 trigonal pyramids that share  a cornercorner with one Fe(2)O6 octahedra, corners with two equivalent Ni(2)O6 octahedra, corners with three equivalent Te(2)O6 octahedra,  an edgeedge with one Ni(1)O6 octahedra, and edges with two equivalent Fe(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 63-66°. In the third Li site, Li(3) is bonded to one O(4), one O(8), and two equivalent O(1) atoms to form distorted LiO4 tetrahedra that share  a cornercorner with one Ni(1)O6 octahedra, corners with two equivalent Fe(1)O6 octahedra, corners with three equivalent Te(1)O6 octahedra,  an edgeedge with one Fe(2)O6 octahedra, and edges with two equivalent Ni(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 61-67°. In the fourth Li site, Li(4) is bonded to one O(10), one O(2), and two equivalent O(6) atoms to form LiO4 tetrahedra that share  a cornercorner with one Fe(2)O6 octahedra, corners with two equivalent Ni(1)O6 octahedra, corners with two equivalent Ni(2)O6 octahedra, corners with three equivalent Te(1)O6 octahedra, and corners with four equivalent Fe(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-61°. There are two inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to one O(11), one O(2), one O(3), one O(4), one O(6), and one O(7) atom to form FeO6 octahedra that share corners with two equivalent Te(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Te(1)O6 octahedra, edges with two equivalent Fe(1)O6 octahedra, edges with two equivalent Ni(1)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 49°. In the second Fe site, Fe(2) is bonded to one O(10), one O(5), two equivalent O(1), and two equivalent O(9) atoms to form FeO6 octahedra that share corners with two equivalent Te(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 trigonal pyramid,  an edgeedge with one Te(2)O6 octahedra, edges with four equivalent Ni(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 49°. There are two inequivalent Ni sites. In the first Ni site, Ni(1) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form NiO6 octahedra that share corners with two equivalent Te(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Te(1)O6 octahedra, edges with four equivalent Fe(1)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 50°. In the second Ni site, Ni(2) is bonded to one O(1), one O(10), one O(12), one O(5), one O(8), and one O(9) atom to form NiO6 octahedra that share corners with two equivalent Te(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 trigonal pyramid,  an edgeedge with one Te(2)O6 octahedra, edges with two equivalent Fe(2)O6 octahedra, edges with two equivalent Ni(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 50°. There are two inequivalent Te sites. In the first Te site, Te(1) is bonded to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms to form TeO6 octahedra that share corners with two equivalent Fe(2)O6 octahedra, corners with four equivalent Ni(2)O6 octahedra, corners with three equivalent Li(3)O4 tetrahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Ni(1)O6 octahedra, and edges with two equivalent Fe(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-50°. In the second Te site, Te(2) is bonded to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form TeO6 octahedra that share corners with two equivalent Ni(1)O6 octahedra, corners with four equivalent Fe(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra, corners with three equivalent Li(2)O4 trigonal pyramids,  an edgeedge with one Fe(2)O6 octahedra, and edges with two equivalent Ni(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-50°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to one Li(3), one Fe(2), one Ni(2), and one Te(1) atom. In the second O site, O(2) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), two equivalent Fe(1), and one Te(1) atom. In the third O site, O(3) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), two equivalent Fe(1), and one Ni(1) atom. In the fourth O site, O(4) is bonded in a tetrahedral geometry to one Li(3), two equivalent Fe(1), and one Ni(1) atom. In the fifth O site, O(5) is bonded to one Li(2), one Fe(2), and two equivalent Ni(2) atoms to form corner-sharing OLiFeNi2 tetrahedra. In the sixth O site, O(6) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), one Fe(1), one Ni(1), and one Te(1) atom. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Li(2), two equivalent Fe(1), and one Te(2) atom. In the eighth O site, O(8) is bonded in a rectangular see-saw-like geometry to one Li(3), two equivalent Ni(2), and one Te(1) atom. In the ninth O site, O(9) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Fe(2), one Ni(2), and one Te(2) atom. In the tenth O site, O(10) is bonded to one Li(4), one Fe(2), and two equivalent Ni(2) atoms to form distorted corner-sharing OLiFeNi2 tetrahedra. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one Fe(1), one Ni(1), and one Te(2) atom. In the twelfth O site, O(12) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), two equivalent Ni(2), and one Te(2) atom. is represented by the CIF file [CIF]
data_Li4Fe3Ni3(TeO8)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.941
_cell_length_b   5.941
_cell_length_c   9.707
_cell_angle_alpha   89.693
_cell_angle_beta   89.693
_cell_angle_gamma   59.960
_symmetry_Int_Tables_number   1
_cell_volume   296.621
_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  0.665  0.665  0.091  1.0
  Li  Li1  1  0.997  0.997  0.016  1.0
  Li  Li2  1  0.998  0.998  0.513  1.0
  Li  Li3  1  0.333  0.333  0.588  1.0
  Fe  Fe4  1  0.341  0.831  0.787  1.0
  Fe  Fe5  1  0.831  0.341  0.787  1.0
  Fe  Fe6  1  0.171  0.171  0.287  1.0
  Ni  Ni7  1  0.828  0.828  0.789  1.0
  Ni  Ni8  1  0.171  0.659  0.288  1.0
  Ni  Ni9  1  0.659  0.171  0.288  1.0
  Te  Te10  1  0.669  0.669  0.515  1.0
  Te  Te11  1  0.336  0.336  0.018  1.0
  O  O12  1  0.345  0.832  0.409  1.0
  O  O13  1  0.519  0.519  0.647  1.0
  O  O14  1  0.661  0.661  0.891  1.0
  O  O15  1  0.003  0.003  0.702  1.0
  O  O16  1  0.002  0.002  0.204  1.0
  O  O17  1  0.832  0.345  0.409  1.0
  O  O18  1  0.515  0.962  0.647  1.0
  O  O19  1  0.962  0.515  0.647  1.0
  O  O20  1  0.173  0.173  0.908  1.0
  O  O21  1  0.831  0.831  0.410  1.0
  O  O22  1  0.036  0.477  0.147  1.0
  O  O23  1  0.477  0.036  0.147  1.0
  O  O24  1  0.330  0.330  0.388  1.0
  O  O25  1  0.174  0.658  0.911  1.0
  O  O26  1  0.481  0.481  0.149  1.0
  O  O27  1  0.658  0.174  0.911  1.0
[/CIF]
.