The material structure described by Li4Cr3Cu3(TeO8)2 is Hausmannite-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 Cr(1)O6 octahedra, corners with two equivalent Cu(1)O6 octahedra, corners with two equivalent Cu(2)O6 octahedra, corners with three equivalent Te(2)O6 octahedra, and corners with four equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-64°. 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 tetrahedra that share  a cornercorner with one Cu(2)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with three equivalent Te(2)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra, and edges with two equivalent Cu(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 59-67°. In the third Li site, Li(3) is bonded in a rectangular see-saw-like geometry to one O(4), one O(8), and two equivalent O(1) atoms. 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 Cu(2)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with three equivalent Te(1)O6 octahedra, and corners with four equivalent Cu(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-65°. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form CrO6 octahedra that share corners with two equivalent Te(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Te(1)O6 octahedra, edges with four equivalent Cu(1)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles are 47°. In the second Cr site, Cr(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 CrO6 octahedra that share corners with two equivalent Te(1)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra,  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, and edges with two equivalent Cu(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-49°. There are two inequivalent Cu sites. In the first Cu site, Cu(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 distorted CuO6 octahedra that share corners with two equivalent Te(2)O6 octahedra,  a cornercorner with one Li(1)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, edges with two equivalent Cu(1)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 49-53°. In the second Cu site, Cu(2) is bonded to one O(10), one O(5), two equivalent O(1), and two equivalent O(9) atoms to form CuO6 octahedra that share corners with two equivalent Te(1)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Te(2)O6 octahedra, and edges with four equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles are 53°. 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 Cu(2)O6 octahedra, corners with four equivalent Cr(2)O6 octahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Cr(1)O6 octahedra, and edges with two equivalent Cu(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-53°. 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 Cr(1)O6 octahedra, corners with four equivalent Cu(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra, corners with three equivalent Li(2)O4 tetrahedra,  an edgeedge with one Cu(2)O6 octahedra, and edges with two equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 47-53°. 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 Cu(2), and one Te(1) atom. In the second O site, O(2) is bonded to one Li(4), two equivalent Cu(1), and one Te(1) atom to form distorted OLiCu2Te tetrahedra that share  a cornercorner with one O(10)LiCr2Cu tetrahedra, corners with two equivalent O(4)LiCrCu2 tetrahedra, and  an edgeedge with one O(3)LiCrCu2 tetrahedra. In the third O site, O(3) is bonded to one Li(1), one Cr(1), and two equivalent Cu(1) atoms to form OLiCrCu2 tetrahedra that share corners with three equivalent O(4)LiCrCu2 tetrahedra,  a cornercorner with one O(12)LiCr2Te trigonal pyramid, and  an edgeedge with one O(2)LiCu2Te tetrahedra. In the fourth O site, O(4) is bonded to one Li(3), one Cr(1), and two equivalent Cu(1) atoms to form OLiCrCu2 tetrahedra that share corners with two equivalent O(2)LiCu2Te tetrahedra and corners with three equivalent O(3)LiCrCu2 tetrahedra. In the fifth O site, O(5) is bonded to one Li(2), two equivalent Cr(2), and one Cu(2) atom to form OLiCr2Cu tetrahedra that share corners with three equivalent O(10)LiCr2Cu tetrahedra and corners with two equivalent O(12)LiCr2Te trigonal pyramids. In the sixth O site, O(6) is bonded in a 4-coordinate geometry to one Li(4), one Cr(1), one Cu(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 Cu(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 Cr(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 Cu(2), and one Te(2) atom. In the tenth O site, O(10) is bonded to one Li(4), two equivalent Cr(2), and one Cu(2) atom to form distorted OLiCr2Cu tetrahedra that share  a cornercorner with one O(2)LiCu2Te tetrahedra, corners with three equivalent O(5)LiCr2Cu tetrahedra, and  an edgeedge with one O(12)LiCr2Te trigonal pyramid. In the eleventh O site, O(11) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one Cr(1), one Cu(1), and one Te(2) atom. In the twelfth O site, O(12) is bonded to one Li(1), two equivalent Cr(2), and one Te(2) atom to form distorted OLiCr2Te trigonal pyramids that share  a cornercorner with one O(3)LiCrCu2 tetrahedra, corners with two equivalent O(5)LiCr2Cu tetrahedra, and  an edgeedge with one O(10)LiCr2Cu tetrahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li4Cr3Cu3(TeO8)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.973
_cell_length_b   5.973
_cell_length_c   9.767
_cell_angle_alpha   87.202
_cell_angle_beta   87.202
_cell_angle_gamma   58.968
_symmetry_Int_Tables_number   1
_cell_volume   298.063
_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  0.914  1.0
  Li  Li1  1  0.998  0.998  0.987  1.0
  Li  Li2  1  0.004  0.004  0.480  1.0
  Li  Li3  1  0.342  0.342  0.414  1.0
  Cr  Cr4  1  0.827  0.827  0.214  1.0
  Cr  Cr5  1  0.659  0.168  0.713  1.0
  Cr  Cr6  1  0.168  0.659  0.713  1.0
  Cu  Cu7  1  0.828  0.337  0.210  1.0
  Cu  Cu8  1  0.337  0.828  0.210  1.0
  Cu  Cu9  1  0.168  0.168  0.711  1.0
  Te  Te10  1  0.672  0.672  0.485  1.0
  Te  Te11  1  0.326  0.326  0.983  1.0
  O  O12  1  0.829  0.337  0.588  1.0
  O  O13  1  0.529  0.529  0.354  1.0
  O  O14  1  0.667  0.667  0.120  1.0
  O  O15  1  0.998  0.998  0.292  1.0
  O  O16  1  0.998  0.998  0.800  1.0
  O  O17  1  0.337  0.829  0.588  1.0
  O  O18  1  0.978  0.538  0.360  1.0
  O  O19  1  0.538  0.978  0.360  1.0
  O  O20  1  0.159  0.159  0.085  1.0
  O  O21  1  0.831  0.831  0.599  1.0
  O  O22  1  0.489  0.034  0.851  1.0
  O  O23  1  0.034  0.489  0.851  1.0
  O  O24  1  0.335  0.335  0.614  1.0
  O  O25  1  0.646  0.160  0.085  1.0
  O  O26  1  0.479  0.479  0.842  1.0
  O  O27  1  0.160  0.646  0.085  1.0
[/CIF]
.
The material structure described by Li4Cr3Cu3(TeO8)2 is Hausmannite-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 Cr(1)O6 octahedra, corners with two equivalent Cu(1)O6 octahedra, corners with two equivalent Cu(2)O6 octahedra, corners with three equivalent Te(2)O6 octahedra, and corners with four equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-64°. 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 tetrahedra that share  a cornercorner with one Cu(2)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with three equivalent Te(2)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra, and edges with two equivalent Cu(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 59-67°. In the third Li site, Li(3) is bonded in a rectangular see-saw-like geometry to one O(4), one O(8), and two equivalent O(1) atoms. 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 Cu(2)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with three equivalent Te(1)O6 octahedra, and corners with four equivalent Cu(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-65°. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form CrO6 octahedra that share corners with two equivalent Te(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Te(1)O6 octahedra, edges with four equivalent Cu(1)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles are 47°. In the second Cr site, Cr(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 CrO6 octahedra that share corners with two equivalent Te(1)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra,  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, and edges with two equivalent Cu(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-49°. There are two inequivalent Cu sites. In the first Cu site, Cu(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 distorted CuO6 octahedra that share corners with two equivalent Te(2)O6 octahedra,  a cornercorner with one Li(1)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, edges with two equivalent Cu(1)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 49-53°. In the second Cu site, Cu(2) is bonded to one O(10), one O(5), two equivalent O(1), and two equivalent O(9) atoms to form CuO6 octahedra that share corners with two equivalent Te(1)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Te(2)O6 octahedra, and edges with four equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles are 53°. 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 Cu(2)O6 octahedra, corners with four equivalent Cr(2)O6 octahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Cr(1)O6 octahedra, and edges with two equivalent Cu(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-53°. 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 Cr(1)O6 octahedra, corners with four equivalent Cu(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra, corners with three equivalent Li(2)O4 tetrahedra,  an edgeedge with one Cu(2)O6 octahedra, and edges with two equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 47-53°. 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 Cu(2), and one Te(1) atom. In the second O site, O(2) is bonded to one Li(4), two equivalent Cu(1), and one Te(1) atom to form distorted OLiCu2Te tetrahedra that share  a cornercorner with one O(10)LiCr2Cu tetrahedra, corners with two equivalent O(4)LiCrCu2 tetrahedra, and  an edgeedge with one O(3)LiCrCu2 tetrahedra. In the third O site, O(3) is bonded to one Li(1), one Cr(1), and two equivalent Cu(1) atoms to form OLiCrCu2 tetrahedra that share corners with three equivalent O(4)LiCrCu2 tetrahedra,  a cornercorner with one O(12)LiCr2Te trigonal pyramid, and  an edgeedge with one O(2)LiCu2Te tetrahedra. In the fourth O site, O(4) is bonded to one Li(3), one Cr(1), and two equivalent Cu(1) atoms to form OLiCrCu2 tetrahedra that share corners with two equivalent O(2)LiCu2Te tetrahedra and corners with three equivalent O(3)LiCrCu2 tetrahedra. In the fifth O site, O(5) is bonded to one Li(2), two equivalent Cr(2), and one Cu(2) atom to form OLiCr2Cu tetrahedra that share corners with three equivalent O(10)LiCr2Cu tetrahedra and corners with two equivalent O(12)LiCr2Te trigonal pyramids. In the sixth O site, O(6) is bonded in a 4-coordinate geometry to one Li(4), one Cr(1), one Cu(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 Cu(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 Cr(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 Cu(2), and one Te(2) atom. In the tenth O site, O(10) is bonded to one Li(4), two equivalent Cr(2), and one Cu(2) atom to form distorted OLiCr2Cu tetrahedra that share  a cornercorner with one O(2)LiCu2Te tetrahedra, corners with three equivalent O(5)LiCr2Cu tetrahedra, and  an edgeedge with one O(12)LiCr2Te trigonal pyramid. In the eleventh O site, O(11) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one Cr(1), one Cu(1), and one Te(2) atom. In the twelfth O site, O(12) is bonded to one Li(1), two equivalent Cr(2), and one Te(2) atom to form distorted OLiCr2Te trigonal pyramids that share  a cornercorner with one O(3)LiCrCu2 tetrahedra, corners with two equivalent O(5)LiCr2Cu tetrahedra, and  an edgeedge with one O(10)LiCr2Cu tetrahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li4Cr3Cu3(TeO8)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.973
_cell_length_b   5.973
_cell_length_c   9.767
_cell_angle_alpha   87.202
_cell_angle_beta   87.202
_cell_angle_gamma   58.968
_symmetry_Int_Tables_number   1
_cell_volume   298.063
_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  0.914  1.0
  Li  Li1  1  0.998  0.998  0.987  1.0
  Li  Li2  1  0.004  0.004  0.480  1.0
  Li  Li3  1  0.342  0.342  0.414  1.0
  Cr  Cr4  1  0.827  0.827  0.214  1.0
  Cr  Cr5  1  0.659  0.168  0.713  1.0
  Cr  Cr6  1  0.168  0.659  0.713  1.0
  Cu  Cu7  1  0.828  0.337  0.210  1.0
  Cu  Cu8  1  0.337  0.828  0.210  1.0
  Cu  Cu9  1  0.168  0.168  0.711  1.0
  Te  Te10  1  0.672  0.672  0.485  1.0
  Te  Te11  1  0.326  0.326  0.983  1.0
  O  O12  1  0.829  0.337  0.588  1.0
  O  O13  1  0.529  0.529  0.354  1.0
  O  O14  1  0.667  0.667  0.120  1.0
  O  O15  1  0.998  0.998  0.292  1.0
  O  O16  1  0.998  0.998  0.800  1.0
  O  O17  1  0.337  0.829  0.588  1.0
  O  O18  1  0.978  0.538  0.360  1.0
  O  O19  1  0.538  0.978  0.360  1.0
  O  O20  1  0.159  0.159  0.085  1.0
  O  O21  1  0.831  0.831  0.599  1.0
  O  O22  1  0.489  0.034  0.851  1.0
  O  O23  1  0.034  0.489  0.851  1.0
  O  O24  1  0.335  0.335  0.614  1.0
  O  O25  1  0.646  0.160  0.085  1.0
  O  O26  1  0.479  0.479  0.842  1.0
  O  O27  1  0.160  0.646  0.085  1.0
[/CIF]
.