The compound described by Li4Cr3Mn3(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 Mn(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 Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-63°. 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 distorted LiO4 tetrahedra that share  a cornercorner with one Mn(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 Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 59-63°. 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 Mn(1)O6 octahedra, corners with two equivalent Mn(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 55-65°. 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 Mn(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 Mn(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 48°. There are two inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form MnO6 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 53°. In the second Mn site, Mn(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 MnO6 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 Mn(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 Mn(2)O6 octahedra, corners with three equivalent Li(3)O4 tetrahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Mn(1)O6 octahedra, and edges with two equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-51°. 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 Mn(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 Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-53°. 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 Mn(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 a mixture of distorted edge and corner-sharing OLiCr2Te trigonal pyramids. In the third O site, O(3) is bonded to one Li(1), two equivalent Cr(1), and one Mn(1) atom to form OLiMnCr2 tetrahedra that share  a cornercorner with one O(12)LiMn2Te tetrahedra, corners with three equivalent O(4)LiMnCr2 tetrahedra, and  an edgeedge with one O(2)LiCr2Te trigonal pyramid. In the fourth O site, O(4) is bonded to one Li(3), two equivalent Cr(1), and one Mn(1) atom to form OLiMnCr2 tetrahedra that share corners with three equivalent O(3)LiMnCr2 tetrahedra and corners with two equivalent O(2)LiCr2Te trigonal pyramids. In the fifth O site, O(5) is bonded to one Li(2), one Cr(2), and two equivalent Mn(2) atoms to form corner-sharing OLiMn2Cr 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 Mn(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 Mn(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 Mn(2), and one Te(2) atom. In the tenth O site, O(10) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), one Cr(2), and two equivalent Mn(2) atoms. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one Cr(1), one Mn(1), and one Te(2) atom. In the twelfth O site, O(12) is bonded to one Li(1), two equivalent Mn(2), and one Te(2) atom to form distorted OLiMn2Te tetrahedra that share  a cornercorner with one O(3)LiMnCr2 tetrahedra and corners with two equivalent O(5)LiMn2Cr tetrahedra. is represented by the CIF card [CIF]
data_Li4Mn3Cr3(TeO8)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.050
_cell_length_b   6.050
_cell_length_c   9.817
_cell_angle_alpha   88.447
_cell_angle_beta   88.447
_cell_angle_gamma   59.533
_symmetry_Int_Tables_number   1
_cell_volume   309.526
_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  0.662  0.662  0.090  1.0
  Li  Li1  1  0.995  0.995  0.014  1.0
  Li  Li2  1  0.004  0.004  0.512  1.0
  Li  Li3  1  0.337  0.337  0.596  1.0
  Mn  Mn4  1  0.834  0.834  0.788  1.0
  Mn  Mn5  1  0.175  0.660  0.288  1.0
  Mn  Mn6  1  0.660  0.175  0.288  1.0
  Cr  Cr7  1  0.337  0.834  0.787  1.0
  Cr  Cr8  1  0.834  0.337  0.787  1.0
  Cr  Cr9  1  0.173  0.173  0.285  1.0
  Te  Te10  1  0.672  0.672  0.517  1.0
  Te  Te11  1  0.329  0.329  0.014  1.0
  O  O12  1  0.348  0.838  0.415  1.0
  O  O13  1  0.523  0.523  0.656  1.0
  O  O14  1  0.669  0.669  0.884  1.0
  O  O15  1  0.999  0.999  0.695  1.0
  O  O16  1  0.002  0.002  0.204  1.0
  O  O17  1  0.838  0.348  0.415  1.0
  O  O18  1  0.514  0.962  0.649  1.0
  O  O19  1  0.962  0.514  0.649  1.0
  O  O20  1  0.153  0.153  0.899  1.0
  O  O21  1  0.835  0.835  0.413  1.0
  O  O22  1  0.027  0.468  0.152  1.0
  O  O23  1  0.468  0.027  0.152  1.0
  O  O24  1  0.331  0.331  0.387  1.0
  O  O25  1  0.162  0.680  0.904  1.0
  O  O26  1  0.477  0.477  0.150  1.0
  O  O27  1  0.680  0.162  0.904  1.0
[/CIF]
.
The compound described by Li4Cr3Mn3(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 Mn(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 Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-63°. 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 distorted LiO4 tetrahedra that share  a cornercorner with one Mn(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 Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 59-63°. 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 Mn(1)O6 octahedra, corners with two equivalent Mn(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 55-65°. 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 Mn(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 Mn(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 48°. There are two inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form MnO6 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 53°. In the second Mn site, Mn(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 MnO6 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 Mn(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 Mn(2)O6 octahedra, corners with three equivalent Li(3)O4 tetrahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Mn(1)O6 octahedra, and edges with two equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-51°. 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 Mn(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 Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-53°. 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 Mn(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 a mixture of distorted edge and corner-sharing OLiCr2Te trigonal pyramids. In the third O site, O(3) is bonded to one Li(1), two equivalent Cr(1), and one Mn(1) atom to form OLiMnCr2 tetrahedra that share  a cornercorner with one O(12)LiMn2Te tetrahedra, corners with three equivalent O(4)LiMnCr2 tetrahedra, and  an edgeedge with one O(2)LiCr2Te trigonal pyramid. In the fourth O site, O(4) is bonded to one Li(3), two equivalent Cr(1), and one Mn(1) atom to form OLiMnCr2 tetrahedra that share corners with three equivalent O(3)LiMnCr2 tetrahedra and corners with two equivalent O(2)LiCr2Te trigonal pyramids. In the fifth O site, O(5) is bonded to one Li(2), one Cr(2), and two equivalent Mn(2) atoms to form corner-sharing OLiMn2Cr 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 Mn(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 Mn(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 Mn(2), and one Te(2) atom. In the tenth O site, O(10) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), one Cr(2), and two equivalent Mn(2) atoms. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one Cr(1), one Mn(1), and one Te(2) atom. In the twelfth O site, O(12) is bonded to one Li(1), two equivalent Mn(2), and one Te(2) atom to form distorted OLiMn2Te tetrahedra that share  a cornercorner with one O(3)LiMnCr2 tetrahedra and corners with two equivalent O(5)LiMn2Cr tetrahedra. is represented by the CIF card [CIF]
data_Li4Mn3Cr3(TeO8)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.050
_cell_length_b   6.050
_cell_length_c   9.817
_cell_angle_alpha   88.447
_cell_angle_beta   88.447
_cell_angle_gamma   59.533
_symmetry_Int_Tables_number   1
_cell_volume   309.526
_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  0.662  0.662  0.090  1.0
  Li  Li1  1  0.995  0.995  0.014  1.0
  Li  Li2  1  0.004  0.004  0.512  1.0
  Li  Li3  1  0.337  0.337  0.596  1.0
  Mn  Mn4  1  0.834  0.834  0.788  1.0
  Mn  Mn5  1  0.175  0.660  0.288  1.0
  Mn  Mn6  1  0.660  0.175  0.288  1.0
  Cr  Cr7  1  0.337  0.834  0.787  1.0
  Cr  Cr8  1  0.834  0.337  0.787  1.0
  Cr  Cr9  1  0.173  0.173  0.285  1.0
  Te  Te10  1  0.672  0.672  0.517  1.0
  Te  Te11  1  0.329  0.329  0.014  1.0
  O  O12  1  0.348  0.838  0.415  1.0
  O  O13  1  0.523  0.523  0.656  1.0
  O  O14  1  0.669  0.669  0.884  1.0
  O  O15  1  0.999  0.999  0.695  1.0
  O  O16  1  0.002  0.002  0.204  1.0
  O  O17  1  0.838  0.348  0.415  1.0
  O  O18  1  0.514  0.962  0.649  1.0
  O  O19  1  0.962  0.514  0.649  1.0
  O  O20  1  0.153  0.153  0.899  1.0
  O  O21  1  0.835  0.835  0.413  1.0
  O  O22  1  0.027  0.468  0.152  1.0
  O  O23  1  0.468  0.027  0.152  1.0
  O  O24  1  0.331  0.331  0.387  1.0
  O  O25  1  0.162  0.680  0.904  1.0
  O  O26  1  0.477  0.477  0.150  1.0
  O  O27  1  0.680  0.162  0.904  1.0
[/CIF]
.