The material described by Li4Ti3Co3(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 Co(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 Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-65°. 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 trigonal pyramids that share  a cornercorner with one Ti(2)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with three equivalent Te(2)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra, and edges with two equivalent Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 61-68°. 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 Co(1)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, and corners with four equivalent Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-59°. 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 distorted 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, edges with two equivalent Co(1)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 52°. 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,  a cornercorner with one Li(2)O4 trigonal pyramid,  an edgeedge with one Te(2)O6 octahedra, and edges with four equivalent Co(2)O6 octahedra. 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, corners with two equivalent Li(4)O4 tetrahedra, edges with four equivalent Ti(1)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 50°. 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  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 trigonal pyramid,  an edgeedge with one Te(2)O6 octahedra, edges with two equivalent Ti(2)O6 octahedra, and edges with two equivalent Co(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 Co(1)O6 octahedra, corners with four equivalent Ti(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra, corners with three equivalent Li(2)O4 trigonal pyramids,  an edgeedge with one Ti(2)O6 octahedra, and edges with two equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-52°. 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 Co(2), and one Te(1) atom. In the second O site, O(2) is bonded in a 3-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 Co(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 Co(1) atom. In the fifth O site, O(5) is bonded to one Li(2), one Ti(2), and two equivalent Co(2) atoms to form corner-sharing OLiTiCo2 tetrahedra. In the sixth O site, O(6) is bonded in a 4-coordinate geometry to one Li(4), one Ti(1), one Co(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 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 Ti(2), one Co(2), and one Te(2) atom. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to one Li(4), one Ti(2), and two equivalent Co(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 Co(1), and one Te(2) atom. In the twelfth O site, O(12) is bonded to one Li(1), two equivalent Co(2), and one Te(2) atom to form distorted corner-sharing OLiCo2Te tetrahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li4Ti3Co3(TeO8)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.001
_cell_length_b   6.001
_cell_length_c   10.114
_cell_angle_alpha   89.915
_cell_angle_beta   89.915
_cell_angle_gamma   59.894
_symmetry_Int_Tables_number   1
_cell_volume   315.098
_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  0.910  1.0
  Li  Li1  1  0.997  0.997  0.982  1.0
  Li  Li2  1  0.007  0.007  0.492  1.0
  Li  Li3  1  0.333  0.333  0.401  1.0
  Ti  Ti4  1  0.832  0.351  0.219  1.0
  Ti  Ti5  1  0.351  0.832  0.219  1.0
  Ti  Ti6  1  0.174  0.174  0.725  1.0
  Co  Co7  1  0.826  0.826  0.202  1.0
  Co  Co8  1  0.656  0.171  0.721  1.0
  Co  Co9  1  0.171  0.656  0.721  1.0
  Te  Te10  1  0.675  0.675  0.511  1.0
  Te  Te11  1  0.334  0.334  0.987  1.0
  O  O12  1  0.847  0.345  0.612  1.0
  O  O13  1  0.510  0.510  0.316  1.0
  O  O14  1  0.650  0.650  0.104  1.0
  O  O15  1  0.003  0.003  0.295  1.0
  O  O16  1  0.006  0.006  0.801  1.0
  O  O17  1  0.345  0.847  0.612  1.0
  O  O18  1  0.982  0.488  0.321  1.0
  O  O19  1  0.488  0.982  0.321  1.0
  O  O20  1  0.166  0.166  0.088  1.0
  O  O21  1  0.843  0.843  0.594  1.0
  O  O22  1  0.466  0.037  0.858  1.0
  O  O23  1  0.037  0.466  0.858  1.0
  O  O24  1  0.322  0.322  0.611  1.0
  O  O25  1  0.660  0.164  0.084  1.0
  O  O26  1  0.477  0.477  0.858  1.0
  O  O27  1  0.164  0.660  0.084  1.0
[/CIF]
.
The material described by Li4Ti3Co3(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 Co(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 Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-65°. 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 trigonal pyramids that share  a cornercorner with one Ti(2)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with three equivalent Te(2)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra, and edges with two equivalent Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 61-68°. 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 Co(1)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, and corners with four equivalent Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-59°. 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 distorted 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, edges with two equivalent Co(1)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 52°. 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,  a cornercorner with one Li(2)O4 trigonal pyramid,  an edgeedge with one Te(2)O6 octahedra, and edges with four equivalent Co(2)O6 octahedra. 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, corners with two equivalent Li(4)O4 tetrahedra, edges with four equivalent Ti(1)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 50°. 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  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 trigonal pyramid,  an edgeedge with one Te(2)O6 octahedra, edges with two equivalent Ti(2)O6 octahedra, and edges with two equivalent Co(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 Co(1)O6 octahedra, corners with four equivalent Ti(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra, corners with three equivalent Li(2)O4 trigonal pyramids,  an edgeedge with one Ti(2)O6 octahedra, and edges with two equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-52°. 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 Co(2), and one Te(1) atom. In the second O site, O(2) is bonded in a 3-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 Co(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 Co(1) atom. In the fifth O site, O(5) is bonded to one Li(2), one Ti(2), and two equivalent Co(2) atoms to form corner-sharing OLiTiCo2 tetrahedra. In the sixth O site, O(6) is bonded in a 4-coordinate geometry to one Li(4), one Ti(1), one Co(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 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 Ti(2), one Co(2), and one Te(2) atom. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to one Li(4), one Ti(2), and two equivalent Co(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 Co(1), and one Te(2) atom. In the twelfth O site, O(12) is bonded to one Li(1), two equivalent Co(2), and one Te(2) atom to form distorted corner-sharing OLiCo2Te tetrahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li4Ti3Co3(TeO8)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.001
_cell_length_b   6.001
_cell_length_c   10.114
_cell_angle_alpha   89.915
_cell_angle_beta   89.915
_cell_angle_gamma   59.894
_symmetry_Int_Tables_number   1
_cell_volume   315.098
_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  0.910  1.0
  Li  Li1  1  0.997  0.997  0.982  1.0
  Li  Li2  1  0.007  0.007  0.492  1.0
  Li  Li3  1  0.333  0.333  0.401  1.0
  Ti  Ti4  1  0.832  0.351  0.219  1.0
  Ti  Ti5  1  0.351  0.832  0.219  1.0
  Ti  Ti6  1  0.174  0.174  0.725  1.0
  Co  Co7  1  0.826  0.826  0.202  1.0
  Co  Co8  1  0.656  0.171  0.721  1.0
  Co  Co9  1  0.171  0.656  0.721  1.0
  Te  Te10  1  0.675  0.675  0.511  1.0
  Te  Te11  1  0.334  0.334  0.987  1.0
  O  O12  1  0.847  0.345  0.612  1.0
  O  O13  1  0.510  0.510  0.316  1.0
  O  O14  1  0.650  0.650  0.104  1.0
  O  O15  1  0.003  0.003  0.295  1.0
  O  O16  1  0.006  0.006  0.801  1.0
  O  O17  1  0.345  0.847  0.612  1.0
  O  O18  1  0.982  0.488  0.321  1.0
  O  O19  1  0.488  0.982  0.321  1.0
  O  O20  1  0.166  0.166  0.088  1.0
  O  O21  1  0.843  0.843  0.594  1.0
  O  O22  1  0.466  0.037  0.858  1.0
  O  O23  1  0.037  0.466  0.858  1.0
  O  O24  1  0.322  0.322  0.611  1.0
  O  O25  1  0.660  0.164  0.084  1.0
  O  O26  1  0.477  0.477  0.858  1.0
  O  O27  1  0.164  0.660  0.084  1.0
[/CIF]
.