The structure described by Li4Cr3Co3(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 Co(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 Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-63°. In the second Li site, Li(2) is bonded in a 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 LiO4 tetrahedra that share  a cornercorner with one Co(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 Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-64°. 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 Co(1)O6 octahedra, corners with two equivalent Co(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 57-64°. 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 Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-53°. 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 Co(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 49°. There are two inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form CoO6 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 49°. In the second Co site, Co(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 CoO6 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 Co(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 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 Co(2)O6 octahedra, corners with three equivalent Li(3)O4 tetrahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Co(1)O6 octahedra, and edges with two equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-51°. 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 Co(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 Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-53°. 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 Co(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 tetrahedra that share corners with two equivalent O(4)LiCr2Co tetrahedra, corners with two equivalent O(6)LiCrCoTe tetrahedra,  a cornercorner with one O(10)LiCrCo2 trigonal pyramid,  an edgeedge with one O(3)LiCr2Co tetrahedra, and edges with two equivalent O(6)LiCrCoTe tetrahedra. In the third O site, O(3) is bonded to one Li(1), two equivalent Cr(1), and one Co(1) atom to form distorted OLiCr2Co tetrahedra that share corners with three equivalent O(4)LiCr2Co tetrahedra,  an edgeedge with one O(2)LiCr2Te tetrahedra, and edges with two equivalent O(6)LiCrCoTe tetrahedra. In the fourth O site, O(4) is bonded to one Li(3), two equivalent Cr(1), and one Co(1) atom to form OLiCr2Co tetrahedra that share corners with two equivalent O(2)LiCr2Te tetrahedra, corners with three equivalent O(3)LiCr2Co tetrahedra, and corners with four equivalent O(6)LiCrCoTe tetrahedra. In the fifth O site, O(5) is bonded to one Li(2), one Cr(2), and two equivalent Co(2) atoms to form corner-sharing OLiCrCo2 tetrahedra. In the sixth O site, O(6) is bonded to one Li(4), one Cr(1), one Co(1), and one Te(1) atom to form distorted OLiCrCoTe tetrahedra that share  a cornercorner with one O(2)LiCr2Te tetrahedra,  a cornercorner with one O(6)LiCrCoTe tetrahedra, corners with two equivalent O(4)LiCr2Co tetrahedra,  a cornercorner with one O(10)LiCrCo2 trigonal pyramid,  an edgeedge with one O(3)LiCr2Co tetrahedra,  an edgeedge with one O(2)LiCr2Te tetrahedra, and  an edgeedge with one O(6)LiCrCoTe tetrahedra. 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 Co(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 Co(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 Co(2) atoms to form distorted OLiCrCo2 trigonal pyramids that share  a cornercorner with one O(2)LiCr2Te tetrahedra, corners with two equivalent O(6)LiCrCoTe tetrahedra, and corners with three equivalent O(5)LiCrCo2 tetrahedra. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one Cr(1), one Co(1), and one Te(2) atom. In the twelfth O site, O(12) is bonded in a 4-coordinate geometry to one Li(1), two equivalent Co(2), and one Te(2) atom. is represented by the CIF file [CIF]
data_Li4Cr3Co3(TeO8)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.948
_cell_length_b   5.948
_cell_length_c   9.683
_cell_angle_alpha   89.609
_cell_angle_beta   89.609
_cell_angle_gamma   59.930
_symmetry_Int_Tables_number   1
_cell_volume   296.416
_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  0.667  0.667  0.089  1.0
  Li  Li1  1  0.995  0.995  0.017  1.0
  Li  Li2  1  0.998  0.998  0.507  1.0
  Li  Li3  1  0.337  0.337  0.590  1.0
  Cr  Cr4  1  0.339  0.830  0.787  1.0
  Cr  Cr5  1  0.830  0.339  0.787  1.0
  Cr  Cr6  1  0.173  0.173  0.287  1.0
  Co  Co7  1  0.827  0.827  0.786  1.0
  Co  Co8  1  0.174  0.657  0.286  1.0
  Co  Co9  1  0.657  0.174  0.286  1.0
  Te  Te10  1  0.673  0.673  0.515  1.0
  Te  Te11  1  0.331  0.331  0.015  1.0
  O  O12  1  0.345  0.839  0.415  1.0
  O  O13  1  0.522  0.522  0.656  1.0
  O  O14  1  0.668  0.668  0.887  1.0
  O  O15  1  0.996  0.996  0.696  1.0
  O  O16  1  0.003  0.003  0.201  1.0
  O  O17  1  0.839  0.345  0.415  1.0
  O  O18  1  0.527  0.962  0.663  1.0
  O  O19  1  0.962  0.527  0.663  1.0
  O  O20  1  0.165  0.165  0.905  1.0
  O  O21  1  0.832  0.832  0.416  1.0
  O  O22  1  0.034  0.472  0.145  1.0
  O  O23  1  0.472  0.034  0.145  1.0
  O  O24  1  0.333  0.333  0.392  1.0
  O  O25  1  0.157  0.666  0.903  1.0
  O  O26  1  0.481  0.481  0.135  1.0
  O  O27  1  0.666  0.157  0.903  1.0
[/CIF]
.
The structure described by Li4Cr3Co3(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 Co(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 Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-63°. In the second Li site, Li(2) is bonded in a 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 LiO4 tetrahedra that share  a cornercorner with one Co(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 Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-64°. 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 Co(1)O6 octahedra, corners with two equivalent Co(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 57-64°. 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 Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-53°. 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 Co(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 49°. There are two inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form CoO6 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 49°. In the second Co site, Co(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 CoO6 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 Co(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 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 Co(2)O6 octahedra, corners with three equivalent Li(3)O4 tetrahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Co(1)O6 octahedra, and edges with two equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-51°. 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 Co(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 Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-53°. 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 Co(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 tetrahedra that share corners with two equivalent O(4)LiCr2Co tetrahedra, corners with two equivalent O(6)LiCrCoTe tetrahedra,  a cornercorner with one O(10)LiCrCo2 trigonal pyramid,  an edgeedge with one O(3)LiCr2Co tetrahedra, and edges with two equivalent O(6)LiCrCoTe tetrahedra. In the third O site, O(3) is bonded to one Li(1), two equivalent Cr(1), and one Co(1) atom to form distorted OLiCr2Co tetrahedra that share corners with three equivalent O(4)LiCr2Co tetrahedra,  an edgeedge with one O(2)LiCr2Te tetrahedra, and edges with two equivalent O(6)LiCrCoTe tetrahedra. In the fourth O site, O(4) is bonded to one Li(3), two equivalent Cr(1), and one Co(1) atom to form OLiCr2Co tetrahedra that share corners with two equivalent O(2)LiCr2Te tetrahedra, corners with three equivalent O(3)LiCr2Co tetrahedra, and corners with four equivalent O(6)LiCrCoTe tetrahedra. In the fifth O site, O(5) is bonded to one Li(2), one Cr(2), and two equivalent Co(2) atoms to form corner-sharing OLiCrCo2 tetrahedra. In the sixth O site, O(6) is bonded to one Li(4), one Cr(1), one Co(1), and one Te(1) atom to form distorted OLiCrCoTe tetrahedra that share  a cornercorner with one O(2)LiCr2Te tetrahedra,  a cornercorner with one O(6)LiCrCoTe tetrahedra, corners with two equivalent O(4)LiCr2Co tetrahedra,  a cornercorner with one O(10)LiCrCo2 trigonal pyramid,  an edgeedge with one O(3)LiCr2Co tetrahedra,  an edgeedge with one O(2)LiCr2Te tetrahedra, and  an edgeedge with one O(6)LiCrCoTe tetrahedra. 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 Co(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 Co(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 Co(2) atoms to form distorted OLiCrCo2 trigonal pyramids that share  a cornercorner with one O(2)LiCr2Te tetrahedra, corners with two equivalent O(6)LiCrCoTe tetrahedra, and corners with three equivalent O(5)LiCrCo2 tetrahedra. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one Cr(1), one Co(1), and one Te(2) atom. In the twelfth O site, O(12) is bonded in a 4-coordinate geometry to one Li(1), two equivalent Co(2), and one Te(2) atom. is represented by the CIF file [CIF]
data_Li4Cr3Co3(TeO8)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.948
_cell_length_b   5.948
_cell_length_c   9.683
_cell_angle_alpha   89.609
_cell_angle_beta   89.609
_cell_angle_gamma   59.930
_symmetry_Int_Tables_number   1
_cell_volume   296.416
_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  0.667  0.667  0.089  1.0
  Li  Li1  1  0.995  0.995  0.017  1.0
  Li  Li2  1  0.998  0.998  0.507  1.0
  Li  Li3  1  0.337  0.337  0.590  1.0
  Cr  Cr4  1  0.339  0.830  0.787  1.0
  Cr  Cr5  1  0.830  0.339  0.787  1.0
  Cr  Cr6  1  0.173  0.173  0.287  1.0
  Co  Co7  1  0.827  0.827  0.786  1.0
  Co  Co8  1  0.174  0.657  0.286  1.0
  Co  Co9  1  0.657  0.174  0.286  1.0
  Te  Te10  1  0.673  0.673  0.515  1.0
  Te  Te11  1  0.331  0.331  0.015  1.0
  O  O12  1  0.345  0.839  0.415  1.0
  O  O13  1  0.522  0.522  0.656  1.0
  O  O14  1  0.668  0.668  0.887  1.0
  O  O15  1  0.996  0.996  0.696  1.0
  O  O16  1  0.003  0.003  0.201  1.0
  O  O17  1  0.839  0.345  0.415  1.0
  O  O18  1  0.527  0.962  0.663  1.0
  O  O19  1  0.962  0.527  0.663  1.0
  O  O20  1  0.165  0.165  0.905  1.0
  O  O21  1  0.832  0.832  0.416  1.0
  O  O22  1  0.034  0.472  0.145  1.0
  O  O23  1  0.472  0.034  0.145  1.0
  O  O24  1  0.333  0.333  0.392  1.0
  O  O25  1  0.157  0.666  0.903  1.0
  O  O26  1  0.481  0.481  0.135  1.0
  O  O27  1  0.666  0.157  0.903  1.0
[/CIF]
.