The structure described by Li4Mn3Fe3(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 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 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 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 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 Fe(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 Fe(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-63°. 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 Fe(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 Mn(2)O6 octahedra, edges with two equivalent Fe(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 50°. 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 Mn(1)O6 octahedra, and edges with two equivalent Fe(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-51°. 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,  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 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 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 Fe(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-50°. 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 Mn(1)O6 octahedra, corners with four equivalent Fe(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one Fe(2)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-53°. 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 Mn(2), one Fe(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 to one Li(1), one Mn(1), and two equivalent Fe(1) atoms to form distorted OLiMnFe2 tetrahedra that share  a cornercorner with one O(12)LiMn2Te tetrahedra and corners with three equivalent O(4)LiMnFe2 tetrahedra. In the fourth O site, O(4) is bonded to one Li(3), one Mn(1), and two equivalent Fe(1) atoms to form distorted corner-sharing OLiMnFe2 tetrahedra. In the fifth O site, O(5) is bonded to one Li(2), two equivalent Mn(2), and one Fe(2) atom to form OLiMn2Fe tetrahedra that share corners with two equivalent O(12)LiMn2Te tetrahedra and corners with three equivalent O(10)LiMn2Fe trigonal pyramids. In the sixth O site, O(6) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), one Mn(1), one Fe(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 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 Mn(2), one Fe(2), and one Te(2) atom. In the tenth O site, O(10) is bonded to one Li(4), two equivalent Mn(2), and one Fe(2) atom to form distorted OLiMn2Fe trigonal pyramids that share corners with three equivalent O(5)LiMn2Fe tetrahedra and  an edgeedge with one O(12)LiMn2Te tetrahedra. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one Mn(1), one Fe(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)LiMnFe2 tetrahedra, corners with two equivalent O(5)LiMn2Fe tetrahedra, and  an edgeedge with one O(10)LiMn2Fe trigonal pyramid. is represented by the CIF file [CIF]
data_Li4Mn3Fe3(TeO8)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.062
_cell_length_b   6.062
_cell_length_c   9.891
_cell_angle_alpha   88.923
_cell_angle_beta   88.923
_cell_angle_gamma   59.850
_symmetry_Int_Tables_number   1
_cell_volume   314.177
_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  0.664  0.664  0.091  1.0
  Li  Li1  1  0.999  0.999  0.016  1.0
  Li  Li2  1  0.001  0.001  0.512  1.0
  Li  Li3  1  0.334  0.334  0.589  1.0
  Mn  Mn4  1  0.832  0.832  0.789  1.0
  Mn  Mn5  1  0.175  0.659  0.290  1.0
  Mn  Mn6  1  0.659  0.175  0.290  1.0
  Fe  Fe7  1  0.334  0.834  0.788  1.0
  Fe  Fe8  1  0.834  0.334  0.788  1.0
  Fe  Fe9  1  0.173  0.173  0.285  1.0
  Te  Te10  1  0.669  0.669  0.518  1.0
  Te  Te11  1  0.333  0.333  0.017  1.0
  O  O12  1  0.350  0.831  0.413  1.0
  O  O13  1  0.521  0.521  0.650  1.0
  O  O14  1  0.669  0.669  0.886  1.0
  O  O15  1  0.996  0.996  0.696  1.0
  O  O16  1  0.001  0.001  0.207  1.0
  O  O17  1  0.831  0.350  0.413  1.0
  O  O18  1  0.516  0.959  0.648  1.0
  O  O19  1  0.959  0.516  0.648  1.0
  O  O20  1  0.161  0.161  0.896  1.0
  O  O21  1  0.830  0.830  0.414  1.0
  O  O22  1  0.033  0.472  0.152  1.0
  O  O23  1  0.472  0.033  0.152  1.0
  O  O24  1  0.331  0.331  0.390  1.0
  O  O25  1  0.168  0.675  0.904  1.0
  O  O26  1  0.479  0.479  0.146  1.0
  O  O27  1  0.675  0.168  0.904  1.0
[/CIF]
.
The structure described by Li4Mn3Fe3(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 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 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 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 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 Fe(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 Fe(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-63°. 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 Fe(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 Mn(2)O6 octahedra, edges with two equivalent Fe(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 50°. 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 Mn(1)O6 octahedra, and edges with two equivalent Fe(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-51°. 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,  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 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 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 Fe(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-50°. 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 Mn(1)O6 octahedra, corners with four equivalent Fe(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one Fe(2)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-53°. 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 Mn(2), one Fe(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 to one Li(1), one Mn(1), and two equivalent Fe(1) atoms to form distorted OLiMnFe2 tetrahedra that share  a cornercorner with one O(12)LiMn2Te tetrahedra and corners with three equivalent O(4)LiMnFe2 tetrahedra. In the fourth O site, O(4) is bonded to one Li(3), one Mn(1), and two equivalent Fe(1) atoms to form distorted corner-sharing OLiMnFe2 tetrahedra. In the fifth O site, O(5) is bonded to one Li(2), two equivalent Mn(2), and one Fe(2) atom to form OLiMn2Fe tetrahedra that share corners with two equivalent O(12)LiMn2Te tetrahedra and corners with three equivalent O(10)LiMn2Fe trigonal pyramids. In the sixth O site, O(6) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), one Mn(1), one Fe(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 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 Mn(2), one Fe(2), and one Te(2) atom. In the tenth O site, O(10) is bonded to one Li(4), two equivalent Mn(2), and one Fe(2) atom to form distorted OLiMn2Fe trigonal pyramids that share corners with three equivalent O(5)LiMn2Fe tetrahedra and  an edgeedge with one O(12)LiMn2Te tetrahedra. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one Mn(1), one Fe(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)LiMnFe2 tetrahedra, corners with two equivalent O(5)LiMn2Fe tetrahedra, and  an edgeedge with one O(10)LiMn2Fe trigonal pyramid. is represented by the CIF file [CIF]
data_Li4Mn3Fe3(TeO8)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.062
_cell_length_b   6.062
_cell_length_c   9.891
_cell_angle_alpha   88.923
_cell_angle_beta   88.923
_cell_angle_gamma   59.850
_symmetry_Int_Tables_number   1
_cell_volume   314.177
_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  0.664  0.664  0.091  1.0
  Li  Li1  1  0.999  0.999  0.016  1.0
  Li  Li2  1  0.001  0.001  0.512  1.0
  Li  Li3  1  0.334  0.334  0.589  1.0
  Mn  Mn4  1  0.832  0.832  0.789  1.0
  Mn  Mn5  1  0.175  0.659  0.290  1.0
  Mn  Mn6  1  0.659  0.175  0.290  1.0
  Fe  Fe7  1  0.334  0.834  0.788  1.0
  Fe  Fe8  1  0.834  0.334  0.788  1.0
  Fe  Fe9  1  0.173  0.173  0.285  1.0
  Te  Te10  1  0.669  0.669  0.518  1.0
  Te  Te11  1  0.333  0.333  0.017  1.0
  O  O12  1  0.350  0.831  0.413  1.0
  O  O13  1  0.521  0.521  0.650  1.0
  O  O14  1  0.669  0.669  0.886  1.0
  O  O15  1  0.996  0.996  0.696  1.0
  O  O16  1  0.001  0.001  0.207  1.0
  O  O17  1  0.831  0.350  0.413  1.0
  O  O18  1  0.516  0.959  0.648  1.0
  O  O19  1  0.959  0.516  0.648  1.0
  O  O20  1  0.161  0.161  0.896  1.0
  O  O21  1  0.830  0.830  0.414  1.0
  O  O22  1  0.033  0.472  0.152  1.0
  O  O23  1  0.472  0.033  0.152  1.0
  O  O24  1  0.331  0.331  0.390  1.0
  O  O25  1  0.168  0.675  0.904  1.0
  O  O26  1  0.479  0.479  0.146  1.0
  O  O27  1  0.675  0.168  0.904  1.0
[/CIF]
.