The structure described by LiTi2Co3O10 crystallizes in the triclinic P1 space group. Li(1) is bonded in a 5-coordinate geometry to one O(2), one O(5), one O(6), one O(7), and one O(9) atom. There are two inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(1), one O(2), one O(3), one O(5), one O(7), and one O(9) atom to form distorted TiO6 octahedra that share  a cornercorner with one Co(1)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra, and edges with two equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles are 18°. In the second Ti site, Ti(2) is bonded to one O(10), one O(2), one O(4), one O(6), one O(8), and one O(9) atom to form distorted TiO6 octahedra that share  a cornercorner with one Co(1)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, and edges with two equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles are 15°. There are three inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(1), one O(10), one O(3), one O(4), one O(7), and one O(8) atom to form distorted CoO6 octahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and edges with two equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 10-18°. In the second Co site, Co(2) is bonded to one O(1), one O(10), one O(3), one O(5), one O(7), and one O(8) atom to form CoO6 octahedra that share  a cornercorner with one Co(1)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and edges with two equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles are 11°. In the third Co site, Co(3) is bonded to one O(1), one O(10), one O(3), one O(4), one O(6), and one O(8) atom to form CoO6 octahedra that share  a cornercorner with one Co(1)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra, edges with two equivalent Ti(2)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and edges with two equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles are 10°. There are ten inequivalent O sites. In the first O site, O(1) is bonded in a distorted rectangular see-saw-like geometry to one Ti(1), one Co(1), one Co(2), and one Co(3) atom. In the second O site, O(2) is bonded in a 3-coordinate geometry to one Li(1), one Ti(1), and one Ti(2) atom. In the third O site, O(3) is bonded in a see-saw-like geometry to one Ti(1), one Co(1), one Co(2), and one Co(3) atom. In the fourth O site, O(4) is bonded in a trigonal non-coplanar geometry to one Ti(2), one Co(1), and one Co(3) atom. In the fifth O site, O(5) is bonded in a trigonal planar geometry to one Li(1), one Ti(1), and one Co(2) atom. In the sixth O site, O(6) is bonded in a distorted T-shaped geometry to one Li(1), one Ti(2), and one Co(3) atom. In the seventh O site, O(7) is bonded in a distorted tetrahedral geometry to one Li(1), one Ti(1), one Co(1), and one Co(2) atom. In the eighth O site, O(8) is bonded in a see-saw-like geometry to one Ti(2), one Co(1), one Co(2), and one Co(3) atom. In the ninth O site, O(9) is bonded in a distorted T-shaped geometry to one Li(1), one Ti(1), and one Ti(2) atom. In the tenth O site, O(10) is bonded in a distorted rectangular see-saw-like geometry to one Ti(2), one Co(1), one Co(2), and one Co(3) atom. is represented by the CIF file [CIF]
data_LiTi2Co3O10
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.920
_cell_length_b   4.972
_cell_length_c   7.804
_cell_angle_alpha   75.457
_cell_angle_beta   73.694
_cell_angle_gamma   82.690
_symmetry_Int_Tables_number   1
_cell_volume   177.023
_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  0.678  0.502  0.452  1.0
  Ti  Ti1  1  0.124  0.998  0.312  1.0
  Ti  Ti2  1  0.893  0.984  0.679  1.0
  Co  Co3  1  0.010  0.502  0.997  1.0
  Co  Co4  1  0.710  0.013  0.090  1.0
  Co  Co5  1  0.308  0.997  0.901  1.0
  O  O6  1  0.046  0.790  0.119  1.0
  O  O7  1  0.092  0.224  0.472  1.0
  O  O8  1  0.362  0.209  0.051  1.0
  O  O9  1  0.197  0.748  0.792  1.0
  O  O10  1  0.487  0.825  0.300  1.0
  O  O11  1  0.538  0.176  0.692  1.0
  O  O12  1  0.818  0.259  0.205  1.0
  O  O13  1  0.653  0.796  0.944  1.0
  O  O14  1  0.900  0.766  0.516  1.0
  O  O15  1  0.968  0.216  0.876  1.0
[/CIF]
.
The structure described by LiTi2Co3O10 crystallizes in the triclinic P1 space group. Li(1) is bonded in a 5-coordinate geometry to one O(2), one O(5), one O(6), one O(7), and one O(9) atom. There are two inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(1), one O(2), one O(3), one O(5), one O(7), and one O(9) atom to form distorted TiO6 octahedra that share  a cornercorner with one Co(1)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra, and edges with two equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles are 18°. In the second Ti site, Ti(2) is bonded to one O(10), one O(2), one O(4), one O(6), one O(8), and one O(9) atom to form distorted TiO6 octahedra that share  a cornercorner with one Co(1)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, and edges with two equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles are 15°. There are three inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(1), one O(10), one O(3), one O(4), one O(7), and one O(8) atom to form distorted CoO6 octahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and edges with two equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 10-18°. In the second Co site, Co(2) is bonded to one O(1), one O(10), one O(3), one O(5), one O(7), and one O(8) atom to form CoO6 octahedra that share  a cornercorner with one Co(1)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and edges with two equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles are 11°. In the third Co site, Co(3) is bonded to one O(1), one O(10), one O(3), one O(4), one O(6), and one O(8) atom to form CoO6 octahedra that share  a cornercorner with one Co(1)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra, edges with two equivalent Ti(2)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and edges with two equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles are 10°. There are ten inequivalent O sites. In the first O site, O(1) is bonded in a distorted rectangular see-saw-like geometry to one Ti(1), one Co(1), one Co(2), and one Co(3) atom. In the second O site, O(2) is bonded in a 3-coordinate geometry to one Li(1), one Ti(1), and one Ti(2) atom. In the third O site, O(3) is bonded in a see-saw-like geometry to one Ti(1), one Co(1), one Co(2), and one Co(3) atom. In the fourth O site, O(4) is bonded in a trigonal non-coplanar geometry to one Ti(2), one Co(1), and one Co(3) atom. In the fifth O site, O(5) is bonded in a trigonal planar geometry to one Li(1), one Ti(1), and one Co(2) atom. In the sixth O site, O(6) is bonded in a distorted T-shaped geometry to one Li(1), one Ti(2), and one Co(3) atom. In the seventh O site, O(7) is bonded in a distorted tetrahedral geometry to one Li(1), one Ti(1), one Co(1), and one Co(2) atom. In the eighth O site, O(8) is bonded in a see-saw-like geometry to one Ti(2), one Co(1), one Co(2), and one Co(3) atom. In the ninth O site, O(9) is bonded in a distorted T-shaped geometry to one Li(1), one Ti(1), and one Ti(2) atom. In the tenth O site, O(10) is bonded in a distorted rectangular see-saw-like geometry to one Ti(2), one Co(1), one Co(2), and one Co(3) atom. is represented by the CIF file [CIF]
data_LiTi2Co3O10
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.920
_cell_length_b   4.972
_cell_length_c   7.804
_cell_angle_alpha   75.457
_cell_angle_beta   73.694
_cell_angle_gamma   82.690
_symmetry_Int_Tables_number   1
_cell_volume   177.023
_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  0.678  0.502  0.452  1.0
  Ti  Ti1  1  0.124  0.998  0.312  1.0
  Ti  Ti2  1  0.893  0.984  0.679  1.0
  Co  Co3  1  0.010  0.502  0.997  1.0
  Co  Co4  1  0.710  0.013  0.090  1.0
  Co  Co5  1  0.308  0.997  0.901  1.0
  O  O6  1  0.046  0.790  0.119  1.0
  O  O7  1  0.092  0.224  0.472  1.0
  O  O8  1  0.362  0.209  0.051  1.0
  O  O9  1  0.197  0.748  0.792  1.0
  O  O10  1  0.487  0.825  0.300  1.0
  O  O11  1  0.538  0.176  0.692  1.0
  O  O12  1  0.818  0.259  0.205  1.0
  O  O13  1  0.653  0.796  0.944  1.0
  O  O14  1  0.900  0.766  0.516  1.0
  O  O15  1  0.968  0.216  0.876  1.0
[/CIF]
.