The material structure described by Li4Ti3Cu3(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 Cu(1)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra, corners with three equivalent Te(2)O6 octahedra, and corners with four equivalent Cu(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-65°. 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 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 Ti(2)O6 octahedra, corners with two equivalent Cu(1)O6 octahedra, corners with two equivalent Cu(2)O6 octahedra, and corners with four equivalent Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 47-63°. There are two inequivalent Ti sites. In the first Ti site, Ti(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 TiO6 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, edges with two equivalent Ti(1)O6 octahedra, and edges with two equivalent Cu(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-51°. In the second Ti site, Ti(2) is bonded to one O(10), one O(5), two equivalent O(1), and two equivalent O(9) atoms to form TiO6 octahedra that share  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 Cu(2)O6 octahedra. There are two inequivalent Cu sites. In the first Cu site, Cu(1) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form 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, and edges with four equivalent Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles are 51°. In the second Cu site, Cu(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 distorted CuO6 octahedra that share  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 Ti(2)O6 octahedra, and edges with two equivalent Cu(2)O6 octahedra. There are two inequivalent Te sites. In the first Te site, Te(1) is bonded in a 6-coordinate geometry to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms. 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 Cu(1)O6 octahedra, corners with four equivalent Ti(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one Ti(2)O6 octahedra, and edges with two equivalent Cu(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-51°. 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 Ti(2), one Cu(2), and one Te(1) atom. In the second O site, O(2) is bonded in a 4-coordinate geometry to one Li(4), two equivalent Ti(1), and one Te(1) atom. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(1), two equivalent Ti(1), and one Cu(1) atom. In the fourth O site, O(4) is bonded in a tetrahedral geometry to one Li(3), two equivalent Ti(1), and one Cu(1) atom. In the fifth O site, O(5) is bonded to one Li(2), one Ti(2), and two equivalent Cu(2) atoms to form corner-sharing OLiTiCu2 tetrahedra. In the sixth O site, O(6) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), one Ti(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 Ti(1), and one Te(2) atom. In the eighth O site, O(8) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), two equivalent Cu(2), and one Te(1) atom. In the ninth O site, O(9) is bonded in a 4-coordinate geometry to one Li(1), one Ti(2), one Cu(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 Ti(2), and two equivalent Cu(2) atoms. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one Ti(1), one Cu(1), and one Te(2) atom. In the twelfth O site, O(12) is bonded to one Li(1), two equivalent Cu(2), and one Te(2) atom to form distorted corner-sharing OLiCu2Te tetrahedra. is represented by the CIF card [CIF]
data_Li4Ti3Cu3(TeO8)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.986
_cell_length_b   5.986
_cell_length_c   10.127
_cell_angle_alpha   88.522
_cell_angle_beta   88.522
_cell_angle_gamma   59.853
_symmetry_Int_Tables_number   1
_cell_volume   313.676
_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  0.658  0.658  0.089  1.0
  Li  Li1  1  0.992  0.992  0.019  1.0
  Li  Li2  1  0.007  0.007  0.512  1.0
  Li  Li3  1  0.335  0.335  0.592  1.0
  Ti  Ti4  1  0.353  0.834  0.782  1.0
  Ti  Ti5  1  0.834  0.353  0.782  1.0
  Ti  Ti6  1  0.173  0.173  0.278  1.0
  Cu  Cu7  1  0.831  0.831  0.798  1.0
  Cu  Cu8  1  0.169  0.661  0.284  1.0
  Cu  Cu9  1  0.661  0.169  0.284  1.0
  Te  Te10  1  0.676  0.676  0.497  1.0
  Te  Te11  1  0.332  0.332  0.015  1.0
  O  O12  1  0.347  0.861  0.393  1.0
  O  O13  1  0.512  0.512  0.687  1.0
  O  O14  1  0.659  0.659  0.892  1.0
  O  O15  1  0.001  0.001  0.708  1.0
  O  O16  1  0.001  0.001  0.204  1.0
  O  O17  1  0.861  0.347  0.393  1.0
  O  O18  1  0.480  0.981  0.666  1.0
  O  O19  1  0.981  0.480  0.666  1.0
  O  O20  1  0.168  0.168  0.905  1.0
  O  O21  1  0.847  0.847  0.412  1.0
  O  O22  1  0.030  0.454  0.137  1.0
  O  O23  1  0.454  0.030  0.137  1.0
  O  O24  1  0.331  0.331  0.381  1.0
  O  O25  1  0.174  0.660  0.918  1.0
  O  O26  1  0.472  0.472  0.145  1.0
  O  O27  1  0.660  0.174  0.918  1.0
[/CIF]
.
The material structure described by Li4Ti3Cu3(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 Cu(1)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra, corners with three equivalent Te(2)O6 octahedra, and corners with four equivalent Cu(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-65°. 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 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 Ti(2)O6 octahedra, corners with two equivalent Cu(1)O6 octahedra, corners with two equivalent Cu(2)O6 octahedra, and corners with four equivalent Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 47-63°. There are two inequivalent Ti sites. In the first Ti site, Ti(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 TiO6 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, edges with two equivalent Ti(1)O6 octahedra, and edges with two equivalent Cu(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-51°. In the second Ti site, Ti(2) is bonded to one O(10), one O(5), two equivalent O(1), and two equivalent O(9) atoms to form TiO6 octahedra that share  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 Cu(2)O6 octahedra. There are two inequivalent Cu sites. In the first Cu site, Cu(1) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form 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, and edges with four equivalent Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles are 51°. In the second Cu site, Cu(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 distorted CuO6 octahedra that share  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 Ti(2)O6 octahedra, and edges with two equivalent Cu(2)O6 octahedra. There are two inequivalent Te sites. In the first Te site, Te(1) is bonded in a 6-coordinate geometry to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms. 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 Cu(1)O6 octahedra, corners with four equivalent Ti(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one Ti(2)O6 octahedra, and edges with two equivalent Cu(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-51°. 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 Ti(2), one Cu(2), and one Te(1) atom. In the second O site, O(2) is bonded in a 4-coordinate geometry to one Li(4), two equivalent Ti(1), and one Te(1) atom. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(1), two equivalent Ti(1), and one Cu(1) atom. In the fourth O site, O(4) is bonded in a tetrahedral geometry to one Li(3), two equivalent Ti(1), and one Cu(1) atom. In the fifth O site, O(5) is bonded to one Li(2), one Ti(2), and two equivalent Cu(2) atoms to form corner-sharing OLiTiCu2 tetrahedra. In the sixth O site, O(6) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), one Ti(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 Ti(1), and one Te(2) atom. In the eighth O site, O(8) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), two equivalent Cu(2), and one Te(1) atom. In the ninth O site, O(9) is bonded in a 4-coordinate geometry to one Li(1), one Ti(2), one Cu(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 Ti(2), and two equivalent Cu(2) atoms. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one Ti(1), one Cu(1), and one Te(2) atom. In the twelfth O site, O(12) is bonded to one Li(1), two equivalent Cu(2), and one Te(2) atom to form distorted corner-sharing OLiCu2Te tetrahedra. is represented by the CIF card [CIF]
data_Li4Ti3Cu3(TeO8)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.986
_cell_length_b   5.986
_cell_length_c   10.127
_cell_angle_alpha   88.522
_cell_angle_beta   88.522
_cell_angle_gamma   59.853
_symmetry_Int_Tables_number   1
_cell_volume   313.676
_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  0.658  0.658  0.089  1.0
  Li  Li1  1  0.992  0.992  0.019  1.0
  Li  Li2  1  0.007  0.007  0.512  1.0
  Li  Li3  1  0.335  0.335  0.592  1.0
  Ti  Ti4  1  0.353  0.834  0.782  1.0
  Ti  Ti5  1  0.834  0.353  0.782  1.0
  Ti  Ti6  1  0.173  0.173  0.278  1.0
  Cu  Cu7  1  0.831  0.831  0.798  1.0
  Cu  Cu8  1  0.169  0.661  0.284  1.0
  Cu  Cu9  1  0.661  0.169  0.284  1.0
  Te  Te10  1  0.676  0.676  0.497  1.0
  Te  Te11  1  0.332  0.332  0.015  1.0
  O  O12  1  0.347  0.861  0.393  1.0
  O  O13  1  0.512  0.512  0.687  1.0
  O  O14  1  0.659  0.659  0.892  1.0
  O  O15  1  0.001  0.001  0.708  1.0
  O  O16  1  0.001  0.001  0.204  1.0
  O  O17  1  0.861  0.347  0.393  1.0
  O  O18  1  0.480  0.981  0.666  1.0
  O  O19  1  0.981  0.480  0.666  1.0
  O  O20  1  0.168  0.168  0.905  1.0
  O  O21  1  0.847  0.847  0.412  1.0
  O  O22  1  0.030  0.454  0.137  1.0
  O  O23  1  0.454  0.030  0.137  1.0
  O  O24  1  0.331  0.331  0.381  1.0
  O  O25  1  0.174  0.660  0.918  1.0
  O  O26  1  0.472  0.472  0.145  1.0
  O  O27  1  0.660  0.174  0.918  1.0
[/CIF]
.