The crystal structure described by Li4Ti3Cr3(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(2), one O(8), and two equivalent O(11) atoms to form LiO4 tetrahedra that share  a cornercorner with one Cr(2)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 Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-69°. In the second Li site, Li(2) is bonded in a rectangular see-saw-like geometry to one O(4), one O(5), and two equivalent O(12) atoms. In the third Li site, Li(3) is bonded in a rectangular see-saw-like geometry to one O(3), one O(6), and two equivalent O(9) atoms. In the fourth Li site, Li(4) is bonded to one O(1), one O(7), and two equivalent O(10) atoms to form LiO4 tetrahedra that share  a cornercorner with one Ti(1)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 Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-67°. There are two inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(4), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form TiO6 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, and edges with four equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles are 56°. In the second Ti site, Ti(2) is bonded to one O(1), one O(10), one O(12), one O(2), one O(3), and one O(5) 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,  an edgeedge with one Te(1)O6 octahedra, edges with two equivalent Ti(2)O6 octahedra, and edges with two equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-57°. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(11), one O(4), one O(6), one O(7), 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(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Te(2)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, and edges with two equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-55°. In the second Cr site, Cr(2) is bonded to one O(2), one O(3), two equivalent O(10), and two equivalent O(12) 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, and edges with four equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles are 55°. There are two inequivalent Te sites. In the first Te site, Te(1) is bonded to one O(1), one O(6), two equivalent O(10), and two equivalent O(9) atoms to form distorted TeO6 octahedra that share corners with two equivalent Ti(1)O6 octahedra, corners with four equivalent Cr(1)O6 octahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Cr(2)O6 octahedra, and edges with two equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-56°. In the second Te site, Te(2) is bonded to one O(5), one O(8), two equivalent O(11), and two equivalent O(12) atoms to form distorted TeO6 octahedra that share corners with two equivalent Cr(2)O6 octahedra, corners with four equivalent Ti(2)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one Ti(1)O6 octahedra, and edges with two equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-57°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), two equivalent Ti(2), and one Te(1) atom. In the second O site, O(2) is bonded in a rectangular see-saw-like geometry to one Li(1), two equivalent Ti(2), and one Cr(2) atom. In the third O site, O(3) is bonded in a tetrahedral geometry to one Li(3), two equivalent Ti(2), and one Cr(2) atom. In the fourth O site, O(4) is bonded to one Li(2), one Ti(1), and two equivalent Cr(1) atoms to form corner-sharing OLiTiCr2 tetrahedra. In the fifth O site, O(5) is bonded in a 4-coordinate geometry to one Li(2), two equivalent Ti(2), and one Te(2) atom. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to one Li(3), two equivalent Cr(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(4), one Ti(1), and two equivalent Cr(1) atoms. In the eighth O site, O(8) is bonded to one Li(1), two equivalent Cr(1), and one Te(2) atom to form corner-sharing OLiCr2Te tetrahedra. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Li(3), one Ti(1), one Cr(1), and one Te(1) atom. In the tenth O site, O(10) is bonded in a 4-coordinate geometry to one Li(4), one Ti(2), one Cr(2), and one Te(1) atom. In the eleventh O site, O(11) is bonded in a 4-coordinate geometry to one Li(1), one Ti(1), one Cr(1), and one Te(2) atom. In the twelfth O site, O(12) is bonded in a rectangular see-saw-like geometry to one Li(2), one Ti(2), one Cr(2), and one Te(2) atom. is represented by the CIF card [CIF]
data_Li4Ti3Cr3(TeO8)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.988
_cell_length_b   6.104
_cell_length_c   10.172
_cell_angle_alpha   90.177
_cell_angle_beta   90.004
_cell_angle_gamma   119.367
_symmetry_Int_Tables_number   1
_cell_volume   324.007
_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
  Cr  Cr0  1  0.338  0.175  0.288  1.0
  Cr  Cr1  1  0.837  0.175  0.288  1.0
  Cr  Cr2  1  0.168  0.336  0.788  1.0
  Li  Li3  1  0.336  0.671  0.100  1.0
  Li  Li4  1  0.994  0.988  0.010  1.0
  Li  Li5  1  0.002  0.003  0.508  1.0
  Li  Li6  1  0.666  0.331  0.596  1.0
  O  O7  1  0.484  0.967  0.663  1.0
  O  O8  1  0.339  0.677  0.885  1.0
  O  O9  1  0.002  0.004  0.691  1.0
  O  O10  1  0.996  0.991  0.196  1.0
  O  O11  1  0.850  0.701  0.886  1.0
  O  O12  1  0.155  0.311  0.399  1.0
  O  O13  1  0.674  0.348  0.389  1.0
  O  O14  1  0.521  0.042  0.161  1.0
  O  O15  1  0.170  0.851  0.400  1.0
  O  O16  1  0.680  0.851  0.400  1.0
  O  O17  1  0.021  0.537  0.666  1.0
  O  O18  1  0.517  0.537  0.666  1.0
  O  O19  1  0.517  0.498  0.180  1.0
  O  O20  1  0.981  0.498  0.180  1.0
  O  O21  1  0.319  0.132  0.911  1.0
  O  O22  1  0.813  0.132  0.911  1.0
  Te  Te23  1  0.341  0.681  0.499  1.0
  Te  Te24  1  0.645  0.291  0.005  1.0
  Ti  Ti25  1  0.824  0.649  0.274  1.0
  Ti  Ti26  1  0.153  0.811  0.777  1.0
  Ti  Ti27  1  0.658  0.811  0.777  1.0
[/CIF]
.
The crystal structure described by Li4Ti3Cr3(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(2), one O(8), and two equivalent O(11) atoms to form LiO4 tetrahedra that share  a cornercorner with one Cr(2)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 Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-69°. In the second Li site, Li(2) is bonded in a rectangular see-saw-like geometry to one O(4), one O(5), and two equivalent O(12) atoms. In the third Li site, Li(3) is bonded in a rectangular see-saw-like geometry to one O(3), one O(6), and two equivalent O(9) atoms. In the fourth Li site, Li(4) is bonded to one O(1), one O(7), and two equivalent O(10) atoms to form LiO4 tetrahedra that share  a cornercorner with one Ti(1)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 Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-67°. There are two inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(4), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form TiO6 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, and edges with four equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles are 56°. In the second Ti site, Ti(2) is bonded to one O(1), one O(10), one O(12), one O(2), one O(3), and one O(5) 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,  an edgeedge with one Te(1)O6 octahedra, edges with two equivalent Ti(2)O6 octahedra, and edges with two equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-57°. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(11), one O(4), one O(6), one O(7), 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(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Te(2)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, and edges with two equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-55°. In the second Cr site, Cr(2) is bonded to one O(2), one O(3), two equivalent O(10), and two equivalent O(12) 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, and edges with four equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles are 55°. There are two inequivalent Te sites. In the first Te site, Te(1) is bonded to one O(1), one O(6), two equivalent O(10), and two equivalent O(9) atoms to form distorted TeO6 octahedra that share corners with two equivalent Ti(1)O6 octahedra, corners with four equivalent Cr(1)O6 octahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Cr(2)O6 octahedra, and edges with two equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-56°. In the second Te site, Te(2) is bonded to one O(5), one O(8), two equivalent O(11), and two equivalent O(12) atoms to form distorted TeO6 octahedra that share corners with two equivalent Cr(2)O6 octahedra, corners with four equivalent Ti(2)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one Ti(1)O6 octahedra, and edges with two equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-57°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), two equivalent Ti(2), and one Te(1) atom. In the second O site, O(2) is bonded in a rectangular see-saw-like geometry to one Li(1), two equivalent Ti(2), and one Cr(2) atom. In the third O site, O(3) is bonded in a tetrahedral geometry to one Li(3), two equivalent Ti(2), and one Cr(2) atom. In the fourth O site, O(4) is bonded to one Li(2), one Ti(1), and two equivalent Cr(1) atoms to form corner-sharing OLiTiCr2 tetrahedra. In the fifth O site, O(5) is bonded in a 4-coordinate geometry to one Li(2), two equivalent Ti(2), and one Te(2) atom. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to one Li(3), two equivalent Cr(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(4), one Ti(1), and two equivalent Cr(1) atoms. In the eighth O site, O(8) is bonded to one Li(1), two equivalent Cr(1), and one Te(2) atom to form corner-sharing OLiCr2Te tetrahedra. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Li(3), one Ti(1), one Cr(1), and one Te(1) atom. In the tenth O site, O(10) is bonded in a 4-coordinate geometry to one Li(4), one Ti(2), one Cr(2), and one Te(1) atom. In the eleventh O site, O(11) is bonded in a 4-coordinate geometry to one Li(1), one Ti(1), one Cr(1), and one Te(2) atom. In the twelfth O site, O(12) is bonded in a rectangular see-saw-like geometry to one Li(2), one Ti(2), one Cr(2), and one Te(2) atom. is represented by the CIF card [CIF]
data_Li4Ti3Cr3(TeO8)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.988
_cell_length_b   6.104
_cell_length_c   10.172
_cell_angle_alpha   90.177
_cell_angle_beta   90.004
_cell_angle_gamma   119.367
_symmetry_Int_Tables_number   1
_cell_volume   324.007
_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
  Cr  Cr0  1  0.338  0.175  0.288  1.0
  Cr  Cr1  1  0.837  0.175  0.288  1.0
  Cr  Cr2  1  0.168  0.336  0.788  1.0
  Li  Li3  1  0.336  0.671  0.100  1.0
  Li  Li4  1  0.994  0.988  0.010  1.0
  Li  Li5  1  0.002  0.003  0.508  1.0
  Li  Li6  1  0.666  0.331  0.596  1.0
  O  O7  1  0.484  0.967  0.663  1.0
  O  O8  1  0.339  0.677  0.885  1.0
  O  O9  1  0.002  0.004  0.691  1.0
  O  O10  1  0.996  0.991  0.196  1.0
  O  O11  1  0.850  0.701  0.886  1.0
  O  O12  1  0.155  0.311  0.399  1.0
  O  O13  1  0.674  0.348  0.389  1.0
  O  O14  1  0.521  0.042  0.161  1.0
  O  O15  1  0.170  0.851  0.400  1.0
  O  O16  1  0.680  0.851  0.400  1.0
  O  O17  1  0.021  0.537  0.666  1.0
  O  O18  1  0.517  0.537  0.666  1.0
  O  O19  1  0.517  0.498  0.180  1.0
  O  O20  1  0.981  0.498  0.180  1.0
  O  O21  1  0.319  0.132  0.911  1.0
  O  O22  1  0.813  0.132  0.911  1.0
  Te  Te23  1  0.341  0.681  0.499  1.0
  Te  Te24  1  0.645  0.291  0.005  1.0
  Ti  Ti25  1  0.824  0.649  0.274  1.0
  Ti  Ti26  1  0.153  0.811  0.777  1.0
  Ti  Ti27  1  0.658  0.811  0.777  1.0
[/CIF]
.