The material structure described by Li4Cr3Ni3(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 Cr(1)O6 octahedra, corners with two equivalent Cr(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 56-61°. In the second Li site, Li(2) is bonded in a distorted rectangular see-saw-like geometry to one O(5), one O(7), and two equivalent O(11) atoms. 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 Cr(1)O6 octahedra, corners with three equivalent Te(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, and edges with two equivalent Ni(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 60-66°. 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 Cr(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 Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-61°. There are two inequivalent Cr sites. In the first Cr site, Cr(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 CrO6 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 Cr(1)O6 octahedra, and edges with two equivalent Ni(1)O6 octahedra. The corner-sharing octahedral tilt angles are 50°. In the second Cr site, Cr(2) is bonded to one O(10), one O(5), two equivalent O(1), and two equivalent O(9) atoms to form CrO6 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,  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 50°. 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, and edges with four equivalent Cr(1)O6 octahedra. 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,  an edgeedge with one Te(2)O6 octahedra, edges with two equivalent Cr(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 range from 50-51°. 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 Cr(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 Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-51°. 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 Cr(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one Cr(2)O6 octahedra, and edges with two equivalent Ni(2)O6 octahedra. The corner-sharing octahedral tilt angles are 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 Cr(2), one Ni(2), and one Te(1) atom. In the second O site, O(2) is bonded to one Li(4), two equivalent Cr(1), and one Te(1) atom to form distorted OLiCr2Te trigonal pyramids that share corners with two equivalent O(4)LiCr2Ni tetrahedra and  a cornercorner with one O(10)LiCrNi2 trigonal pyramid. In the third O site, O(3) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), two equivalent Cr(1), and one Ni(1) atom. In the fourth O site, O(4) is bonded to one Li(3), two equivalent Cr(1), and one Ni(1) atom to form corner-sharing OLiCr2Ni tetrahedra. In the fifth O site, O(5) is bonded to one Li(2), one Cr(2), and two equivalent Ni(2) atoms to form corner-sharing OLiCrNi2 tetrahedra. In the sixth O site, O(6) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), one Cr(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 Cr(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 Cr(2), one Ni(2), and one Te(2) atom. In the tenth O site, O(10) is bonded to one Li(4), one Cr(2), and two equivalent Ni(2) atoms to form distorted OLiCrNi2 trigonal pyramids that share corners with three equivalent O(5)LiCrNi2 tetrahedra and  a cornercorner with one O(2)LiCr2Te trigonal pyramid. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one Cr(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 Crystallographic Information File (CIF) [CIF]
data_Li4Cr3Ni3(TeO8)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.921
_cell_length_b   5.921
_cell_length_c   9.629
_cell_angle_alpha   89.201
_cell_angle_beta   89.201
_cell_angle_gamma   59.956
_symmetry_Int_Tables_number   1
_cell_volume   292.169
_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  0.996  0.996  0.015  1.0
  Li  Li2  1  0.999  0.999  0.510  1.0
  Li  Li3  1  0.333  0.333  0.589  1.0
  Cr  Cr4  1  0.341  0.832  0.787  1.0
  Cr  Cr5  1  0.832  0.341  0.787  1.0
  Cr  Cr6  1  0.172  0.172  0.286  1.0
  Ni  Ni7  1  0.830  0.830  0.787  1.0
  Ni  Ni8  1  0.172  0.660  0.287  1.0
  Ni  Ni9  1  0.660  0.172  0.287  1.0
  Te  Te10  1  0.670  0.670  0.515  1.0
  Te  Te11  1  0.335  0.335  0.017  1.0
  O  O12  1  0.344  0.832  0.410  1.0
  O  O13  1  0.519  0.519  0.655  1.0
  O  O14  1  0.662  0.662  0.891  1.0
  O  O15  1  0.004  0.004  0.697  1.0
  O  O16  1  0.004  0.004  0.201  1.0
  O  O17  1  0.832  0.344  0.410  1.0
  O  O18  1  0.512  0.964  0.650  1.0
  O  O19  1  0.964  0.512  0.650  1.0
  O  O20  1  0.170  0.170  0.906  1.0
  O  O21  1  0.833  0.833  0.411  1.0
  O  O22  1  0.033  0.474  0.148  1.0
  O  O23  1  0.474  0.033  0.148  1.0
  O  O24  1  0.330  0.330  0.390  1.0
  O  O25  1  0.171  0.662  0.910  1.0
  O  O26  1  0.481  0.481  0.147  1.0
  O  O27  1  0.662  0.171  0.910  1.0
[/CIF]
.
The material structure described by Li4Cr3Ni3(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 Cr(1)O6 octahedra, corners with two equivalent Cr(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 56-61°. In the second Li site, Li(2) is bonded in a distorted rectangular see-saw-like geometry to one O(5), one O(7), and two equivalent O(11) atoms. 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 Cr(1)O6 octahedra, corners with three equivalent Te(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, and edges with two equivalent Ni(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 60-66°. 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 Cr(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 Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-61°. There are two inequivalent Cr sites. In the first Cr site, Cr(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 CrO6 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 Cr(1)O6 octahedra, and edges with two equivalent Ni(1)O6 octahedra. The corner-sharing octahedral tilt angles are 50°. In the second Cr site, Cr(2) is bonded to one O(10), one O(5), two equivalent O(1), and two equivalent O(9) atoms to form CrO6 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,  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 50°. 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, and edges with four equivalent Cr(1)O6 octahedra. 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,  an edgeedge with one Te(2)O6 octahedra, edges with two equivalent Cr(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 range from 50-51°. 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 Cr(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 Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-51°. 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 Cr(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one Cr(2)O6 octahedra, and edges with two equivalent Ni(2)O6 octahedra. The corner-sharing octahedral tilt angles are 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 Cr(2), one Ni(2), and one Te(1) atom. In the second O site, O(2) is bonded to one Li(4), two equivalent Cr(1), and one Te(1) atom to form distorted OLiCr2Te trigonal pyramids that share corners with two equivalent O(4)LiCr2Ni tetrahedra and  a cornercorner with one O(10)LiCrNi2 trigonal pyramid. In the third O site, O(3) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), two equivalent Cr(1), and one Ni(1) atom. In the fourth O site, O(4) is bonded to one Li(3), two equivalent Cr(1), and one Ni(1) atom to form corner-sharing OLiCr2Ni tetrahedra. In the fifth O site, O(5) is bonded to one Li(2), one Cr(2), and two equivalent Ni(2) atoms to form corner-sharing OLiCrNi2 tetrahedra. In the sixth O site, O(6) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), one Cr(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 Cr(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 Cr(2), one Ni(2), and one Te(2) atom. In the tenth O site, O(10) is bonded to one Li(4), one Cr(2), and two equivalent Ni(2) atoms to form distorted OLiCrNi2 trigonal pyramids that share corners with three equivalent O(5)LiCrNi2 tetrahedra and  a cornercorner with one O(2)LiCr2Te trigonal pyramid. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one Cr(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 Crystallographic Information File (CIF) [CIF]
data_Li4Cr3Ni3(TeO8)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.921
_cell_length_b   5.921
_cell_length_c   9.629
_cell_angle_alpha   89.201
_cell_angle_beta   89.201
_cell_angle_gamma   59.956
_symmetry_Int_Tables_number   1
_cell_volume   292.169
_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  0.996  0.996  0.015  1.0
  Li  Li2  1  0.999  0.999  0.510  1.0
  Li  Li3  1  0.333  0.333  0.589  1.0
  Cr  Cr4  1  0.341  0.832  0.787  1.0
  Cr  Cr5  1  0.832  0.341  0.787  1.0
  Cr  Cr6  1  0.172  0.172  0.286  1.0
  Ni  Ni7  1  0.830  0.830  0.787  1.0
  Ni  Ni8  1  0.172  0.660  0.287  1.0
  Ni  Ni9  1  0.660  0.172  0.287  1.0
  Te  Te10  1  0.670  0.670  0.515  1.0
  Te  Te11  1  0.335  0.335  0.017  1.0
  O  O12  1  0.344  0.832  0.410  1.0
  O  O13  1  0.519  0.519  0.655  1.0
  O  O14  1  0.662  0.662  0.891  1.0
  O  O15  1  0.004  0.004  0.697  1.0
  O  O16  1  0.004  0.004  0.201  1.0
  O  O17  1  0.832  0.344  0.410  1.0
  O  O18  1  0.512  0.964  0.650  1.0
  O  O19  1  0.964  0.512  0.650  1.0
  O  O20  1  0.170  0.170  0.906  1.0
  O  O21  1  0.833  0.833  0.411  1.0
  O  O22  1  0.033  0.474  0.148  1.0
  O  O23  1  0.474  0.033  0.148  1.0
  O  O24  1  0.330  0.330  0.390  1.0
  O  O25  1  0.171  0.662  0.910  1.0
  O  O26  1  0.481  0.481  0.147  1.0
  O  O27  1  0.662  0.171  0.910  1.0
[/CIF]
.