The crystal structure described by Li4Ti2Co3O10 crystallizes in the triclinic P-1 space group. There are four inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(3), one O(4), one O(6), one O(7), and two equivalent O(2) atoms to form LiO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra, corners with two equivalent Co(4)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, and edges with two equivalent Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-11°. In the second Li site, Li(2) is bonded to one O(1), one O(2), one O(3), one O(7), one O(8), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, corners with two equivalent Co(4)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, and edges with two equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-13°. In the third Li site, Li(3) is bonded to one O(10), one O(2), one O(3), one O(4), one O(5), and one O(7) atom to form LiO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, and edges with two equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-12°. In the fourth Li site, Li(4) is bonded to one O(4), one O(5), one O(7), one O(8), and two equivalent O(10) atoms to form LiO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Co(4)O6 octahedra, corners with two equivalent Co(1)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, and edges with two equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-15°. 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(8), and two equivalent O(4) atoms to form TiO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra, corners with two equivalent Li(2)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, and edges with two equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-15°. In the second Ti site, Ti(2) is bonded to one O(10), one O(5), one O(6), one O(9), and two equivalent O(7) atoms to form TiO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)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, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, and edges with two equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-14°. There are four inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(2), one O(5), one O(6), one O(8), and two equivalent O(1) atoms to form CoO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra, corners with two equivalent Li(4)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, and edges with two equivalent Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-14°. In the second Co site, Co(2) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(6) atoms to form CoO6 octahedra that share corners with two equivalent Li(3)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(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(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-14°. In the third Co site, Co(3) is bonded to two equivalent O(5), two equivalent O(8), and two equivalent O(9) atoms to form CoO6 octahedra that share corners with two equivalent Li(3)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, corners with two equivalent Co(4)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Ti(2)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and edges with two equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 10-12°. In the fourth Co site, Co(4) is bonded to one O(10), one O(3), one O(6), one O(8), and two equivalent O(9) atoms to form CoO6 octahedra that share  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra, corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(2)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)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,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra, and edges with two equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-10°. There are ten inequivalent O sites. In the first O site, O(1) is bonded to one Li(2), one Ti(1), one Co(2), and two equivalent Co(1) atoms to form OLiTiCo3 square pyramids that share  a cornercorner with one O(7)Li4Ti2 octahedra,  a cornercorner with one O(1)LiTiCo3 square pyramid,  a cornercorner with one O(9)LiTiCo3 square pyramid, corners with two equivalent O(5)Li2TiCo2 square pyramids, corners with two equivalent O(4)Li3Ti2 square pyramids, corners with two equivalent O(6)LiTiCo3 square pyramids, edges with two equivalent O(8)Li2TiCo3 octahedra, edges with two equivalent O(3)Li3TiCo2 octahedra, edges with two equivalent O(2)Li4TiCo octahedra,  an edgeedge with one O(1)LiTiCo3 square pyramid, and  an edgeedge with one O(6)LiTiCo3 square pyramid. The corner-sharing octahedral tilt angles are 8°. In the second O site, O(2) is bonded to one Li(2), one Li(3), two equivalent Li(1), one Ti(1), and one Co(1) atom to form OLi4TiCo octahedra that share  a cornercorner with one O(8)Li2TiCo3 octahedra,  a cornercorner with one O(3)Li3TiCo2 octahedra,  a cornercorner with one O(4)Li3Ti2 square pyramid,  a cornercorner with one O(10)Li3TiCo square pyramid,  a cornercorner with one O(6)LiTiCo3 square pyramid,  a cornercorner with one O(9)LiTiCo3 square pyramid,  an edgeedge with one O(8)Li2TiCo3 octahedra,  an edgeedge with one O(2)Li4TiCo octahedra, edges with two equivalent O(3)Li3TiCo2 octahedra, edges with two equivalent O(7)Li4Ti2 octahedra,  an edgeedge with one O(5)Li2TiCo2 square pyramid,  an edgeedge with one O(6)LiTiCo3 square pyramid, edges with two equivalent O(4)Li3Ti2 square pyramids, and edges with two equivalent O(1)LiTiCo3 square pyramids. The corner-sharing octahedral tilt angles range from 4-9°. In the third O site, O(3) is bonded to one Li(1), one Li(2), one Li(3), one Ti(1), one Co(2), and one Co(4) atom to form OLi3TiCo2 octahedra that share  a cornercorner with one O(8)Li2TiCo3 octahedra,  a cornercorner with one O(3)Li3TiCo2 octahedra,  a cornercorner with one O(7)Li4Ti2 octahedra,  a cornercorner with one O(2)Li4TiCo octahedra,  a cornercorner with one O(5)Li2TiCo2 square pyramid,  a cornercorner with one O(9)LiTiCo3 square pyramid,  an edgeedge with one O(8)Li2TiCo3 octahedra,  an edgeedge with one O(7)Li4Ti2 octahedra, edges with two equivalent O(2)Li4TiCo octahedra,  an edgeedge with one O(10)Li3TiCo square pyramid,  an edgeedge with one O(9)LiTiCo3 square pyramid, edges with two equivalent O(4)Li3Ti2 square pyramids, edges with two equivalent O(1)LiTiCo3 square pyramids, and edges with two equivalent O(6)LiTiCo3 square pyramids. The corner-sharing octahedral tilt angles range from 0-10°. In the fourth O site, O(4) is bonded to one Li(1), one Li(3), one Li(4), and two equivalent Ti(1) atoms to form OLi3Ti2 square pyramids that share  a cornercorner with one O(8)Li2TiCo3 octahedra,  a cornercorner with one O(7)Li4Ti2 octahedra,  a cornercorner with one O(2)Li4TiCo octahedra,  a cornercorner with one O(10)Li3TiCo square pyramid,  a cornercorner with one O(6)LiTiCo3 square pyramid, corners with two equivalent O(5)Li2TiCo2 square pyramids, corners with two equivalent O(1)LiTiCo3 square pyramids,  an edgeedge with one O(8)Li2TiCo3 octahedra,  an edgeedge with one O(7)Li4Ti2 octahedra, edges with two equivalent O(3)Li3TiCo2 octahedra, edges with two equivalent O(2)Li4TiCo octahedra,  an edgeedge with one O(4)Li3Ti2 square pyramid, and  an edgeedge with one O(10)Li3TiCo square pyramid. The corner-sharing octahedral tilt angles range from 3-10°. In the fifth O site, O(5) is bonded to one Li(3), one Li(4), one Ti(2), one Co(1), and one Co(3) atom to form OLi2TiCo2 square pyramids that share  a cornercorner with one O(3)Li3TiCo2 octahedra,  a cornercorner with one O(5)Li2TiCo2 square pyramid,  a cornercorner with one O(9)LiTiCo3 square pyramid, corners with two equivalent O(4)Li3Ti2 square pyramids, corners with two equivalent O(10)Li3TiCo square pyramids, corners with two equivalent O(1)LiTiCo3 square pyramids,  an edgeedge with one O(2)Li4TiCo octahedra, edges with two equivalent O(8)Li2TiCo3 octahedra, edges with two equivalent O(7)Li4Ti2 octahedra,  an edgeedge with one O(10)Li3TiCo square pyramid,  an edgeedge with one O(6)LiTiCo3 square pyramid, and  an edgeedge with one O(9)LiTiCo3 square pyramid. The corner-sharing octahedral tilt angles are 4°. In the sixth O site, O(6) is bonded to one Li(1), one Ti(2), one Co(1), one Co(2), and one Co(4) atom to form OLiTiCo3 square pyramids that share  a cornercorner with one O(7)Li4Ti2 octahedra,  a cornercorner with one O(2)Li4TiCo octahedra,  a cornercorner with one O(4)Li3Ti2 square pyramid,  a cornercorner with one O(6)LiTiCo3 square pyramid,  a cornercorner with one O(9)LiTiCo3 square pyramid, corners with two equivalent O(10)Li3TiCo square pyramids, corners with two equivalent O(1)LiTiCo3 square pyramids,  an edgeedge with one O(8)Li2TiCo3 octahedra,  an edgeedge with one O(7)Li4Ti2 octahedra,  an edgeedge with one O(2)Li4TiCo octahedra, edges with two equivalent O(3)Li3TiCo2 octahedra,  an edgeedge with one O(5)Li2TiCo2 square pyramid,  an edgeedge with one O(1)LiTiCo3 square pyramid, and  an edgeedge with one O(9)LiTiCo3 square pyramid. The corner-sharing octahedral tilt angles range from 2-13°. In the seventh O site, O(7) is bonded to one Li(1), one Li(2), one Li(3), one Li(4), and two equivalent Ti(2) atoms to form OLi4Ti2 octahedra that share  a cornercorner with one O(3)Li3TiCo2 octahedra,  a cornercorner with one O(4)Li3Ti2 square pyramid,  a cornercorner with one O(10)Li3TiCo square pyramid,  a cornercorner with one O(1)LiTiCo3 square pyramid,  a cornercorner with one O(6)LiTiCo3 square pyramid,  a cornercorner with one O(9)LiTiCo3 square pyramid,  an edgeedge with one O(8)Li2TiCo3 octahedra,  an edgeedge with one O(3)Li3TiCo2 octahedra,  an edgeedge with one O(7)Li4Ti2 octahedra, edges with two equivalent O(2)Li4TiCo octahedra,  an edgeedge with one O(4)Li3Ti2 square pyramid,  an edgeedge with one O(6)LiTiCo3 square pyramid,  an edgeedge with one O(9)LiTiCo3 square pyramid, edges with two equivalent O(5)Li2TiCo2 square pyramids, and edges with two equivalent O(10)Li3TiCo square pyramids. The corner-sharing octahedral tilt angles are 10°. In the eighth O site, O(8) is bonded to one Li(2), one Li(4), one Ti(1), one Co(1), one Co(3), and one Co(4) atom to form OLi2TiCo3 octahedra that share  a cornercorner with one O(8)Li2TiCo3 octahedra,  a cornercorner with one O(3)Li3TiCo2 octahedra,  a cornercorner with one O(2)Li4TiCo octahedra,  a cornercorner with one O(4)Li3Ti2 square pyramid,  a cornercorner with one O(10)Li3TiCo square pyramid,  a cornercorner with one O(9)LiTiCo3 square pyramid,  an edgeedge with one O(3)Li3TiCo2 octahedra,  an edgeedge with one O(7)Li4Ti2 octahedra,  an edgeedge with one O(2)Li4TiCo octahedra,  an edgeedge with one O(4)Li3Ti2 square pyramid,  an edgeedge with one O(10)Li3TiCo square pyramid,  an edgeedge with one O(6)LiTiCo3 square pyramid, edges with two equivalent O(5)Li2TiCo2 square pyramids, edges with two equivalent O(1)LiTiCo3 square pyramids, and edges with two equivalent O(9)LiTiCo3 square pyramids. The corner-sharing octahedral tilt angles range from 0-4°. In the ninth O site, O(9) is bonded to one Li(2), one Ti(2), one Co(3), and two equivalent Co(4) atoms to form OLiTiCo3 square pyramids that share  a cornercorner with one O(8)Li2TiCo3 octahedra,  a cornercorner with one O(3)Li3TiCo2 octahedra,  a cornercorner with one O(7)Li4Ti2 octahedra,  a cornercorner with one O(2)Li4TiCo octahedra,  a cornercorner with one O(5)Li2TiCo2 square pyramid,  a cornercorner with one O(10)Li3TiCo square pyramid,  a cornercorner with one O(1)LiTiCo3 square pyramid,  a cornercorner with one O(6)LiTiCo3 square pyramid,  a cornercorner with one O(9)LiTiCo3 square pyramid,  an edgeedge with one O(3)Li3TiCo2 octahedra,  an edgeedge with one O(7)Li4Ti2 octahedra, edges with two equivalent O(8)Li2TiCo3 octahedra,  an edgeedge with one O(5)Li2TiCo2 square pyramid,  an edgeedge with one O(10)Li3TiCo square pyramid,  an edgeedge with one O(6)LiTiCo3 square pyramid, and  an edgeedge with one O(9)LiTiCo3 square pyramid. The corner-sharing octahedral tilt angles range from 2-4°. In the tenth O site, O(10) is bonded to one Li(3), two equivalent Li(4), one Ti(2), and one Co(4) atom to form OLi3TiCo square pyramids that share  a cornercorner with one O(8)Li2TiCo3 octahedra,  a cornercorner with one O(7)Li4Ti2 octahedra,  a cornercorner with one O(2)Li4TiCo octahedra,  a cornercorner with one O(4)Li3Ti2 square pyramid,  a cornercorner with one O(9)LiTiCo3 square pyramid, corners with two equivalent O(5)Li2TiCo2 square pyramids, corners with two equivalent O(6)LiTiCo3 square pyramids,  an edgeedge with one O(8)Li2TiCo3 octahedra,  an edgeedge with one O(3)Li3TiCo2 octahedra, edges with two equivalent O(7)Li4Ti2 octahedra,  an edgeedge with one O(5)Li2TiCo2 square pyramid,  an edgeedge with one O(4)Li3Ti2 square pyramid,  an edgeedge with one O(10)Li3TiCo square pyramid, and  an edgeedge with one O(9)LiTiCo3 square pyramid. The corner-sharing octahedral tilt angles range from 4-7°. is represented by the CIF file [CIF]
data_Li4Ti2Co3O10
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.557
_cell_length_b   7.705
_cell_length_c   7.768
_cell_angle_alpha   94.312
_cell_angle_beta   91.591
_cell_angle_gamma   114.697
_symmetry_Int_Tables_number   1
_cell_volume   354.811
_cell_formula_units_Z   2
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  0.092  0.405  0.594  1.0
  Li  Li1  1  0.192  0.804  0.701  1.0
  Li  Li2  1  0.743  0.493  0.754  1.0
  Li  Li3  1  0.257  0.507  0.246  1.0
  Li  Li4  1  0.808  0.196  0.299  1.0
  Li  Li5  1  0.908  0.595  0.406  1.0
  Li  Li6  1  0.581  0.397  0.088  1.0
  Li  Li7  1  0.419  0.603  0.912  1.0
  Ti  Ti8  1  0.455  0.301  0.467  1.0
  Ti  Ti9  1  0.545  0.699  0.533  1.0
  Ti  Ti10  1  0.973  0.307  0.945  1.0
  Ti  Ti11  1  0.027  0.693  0.055  1.0
  Co  Co12  1  0.646  0.099  0.653  1.0
  Co  Co13  1  0.354  0.901  0.347  1.0
  Co  Co14  1  0.000  0.000  0.500  1.0
  Co  Co15  1  0.500  0.000  0.000  1.0
  Co  Co16  1  0.147  0.097  0.152  1.0
  Co  Co17  1  0.853  0.903  0.848  1.0
  O  O18  1  0.658  0.955  0.439  1.0
  O  O19  1  0.248  0.667  0.470  1.0
  O  O20  1  0.752  0.333  0.530  1.0
  O  O21  1  0.864  0.763  0.631  1.0
  O  O22  1  0.342  0.045  0.561  1.0
  O  O23  1  0.428  0.462  0.652  1.0
  O  O24  1  0.353  0.766  0.127  1.0
  O  O25  1  0.055  0.860  0.273  1.0
  O  O26  1  0.945  0.140  0.727  1.0
  O  O27  1  0.923  0.454  0.155  1.0
  O  O28  1  0.572  0.538  0.348  1.0
  O  O29  1  0.553  0.862  0.764  1.0
  O  O30  1  0.447  0.138  0.236  1.0
  O  O31  1  0.136  0.237  0.369  1.0
  O  O32  1  0.077  0.546  0.845  1.0
  O  O33  1  0.151  0.943  0.941  1.0
  O  O34  1  0.647  0.234  0.873  1.0
  O  O35  1  0.748  0.667  0.962  1.0
  O  O36  1  0.252  0.333  0.038  1.0
  O  O37  1  0.849  0.057  0.059  1.0
[/CIF]
.
The crystal structure described by Li4Ti2Co3O10 crystallizes in the triclinic P-1 space group. There are four inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(3), one O(4), one O(6), one O(7), and two equivalent O(2) atoms to form LiO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra, corners with two equivalent Co(4)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, and edges with two equivalent Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-11°. In the second Li site, Li(2) is bonded to one O(1), one O(2), one O(3), one O(7), one O(8), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, corners with two equivalent Co(4)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, and edges with two equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-13°. In the third Li site, Li(3) is bonded to one O(10), one O(2), one O(3), one O(4), one O(5), and one O(7) atom to form LiO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, and edges with two equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-12°. In the fourth Li site, Li(4) is bonded to one O(4), one O(5), one O(7), one O(8), and two equivalent O(10) atoms to form LiO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Co(4)O6 octahedra, corners with two equivalent Co(1)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, and edges with two equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-15°. 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(8), and two equivalent O(4) atoms to form TiO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra, corners with two equivalent Li(2)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, and edges with two equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-15°. In the second Ti site, Ti(2) is bonded to one O(10), one O(5), one O(6), one O(9), and two equivalent O(7) atoms to form TiO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)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, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, and edges with two equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-14°. There are four inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(2), one O(5), one O(6), one O(8), and two equivalent O(1) atoms to form CoO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra, corners with two equivalent Li(4)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, and edges with two equivalent Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-14°. In the second Co site, Co(2) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(6) atoms to form CoO6 octahedra that share corners with two equivalent Li(3)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(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(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-14°. In the third Co site, Co(3) is bonded to two equivalent O(5), two equivalent O(8), and two equivalent O(9) atoms to form CoO6 octahedra that share corners with two equivalent Li(3)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, corners with two equivalent Co(4)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Ti(2)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and edges with two equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 10-12°. In the fourth Co site, Co(4) is bonded to one O(10), one O(3), one O(6), one O(8), and two equivalent O(9) atoms to form CoO6 octahedra that share  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra, corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(2)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)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,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra, and edges with two equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-10°. There are ten inequivalent O sites. In the first O site, O(1) is bonded to one Li(2), one Ti(1), one Co(2), and two equivalent Co(1) atoms to form OLiTiCo3 square pyramids that share  a cornercorner with one O(7)Li4Ti2 octahedra,  a cornercorner with one O(1)LiTiCo3 square pyramid,  a cornercorner with one O(9)LiTiCo3 square pyramid, corners with two equivalent O(5)Li2TiCo2 square pyramids, corners with two equivalent O(4)Li3Ti2 square pyramids, corners with two equivalent O(6)LiTiCo3 square pyramids, edges with two equivalent O(8)Li2TiCo3 octahedra, edges with two equivalent O(3)Li3TiCo2 octahedra, edges with two equivalent O(2)Li4TiCo octahedra,  an edgeedge with one O(1)LiTiCo3 square pyramid, and  an edgeedge with one O(6)LiTiCo3 square pyramid. The corner-sharing octahedral tilt angles are 8°. In the second O site, O(2) is bonded to one Li(2), one Li(3), two equivalent Li(1), one Ti(1), and one Co(1) atom to form OLi4TiCo octahedra that share  a cornercorner with one O(8)Li2TiCo3 octahedra,  a cornercorner with one O(3)Li3TiCo2 octahedra,  a cornercorner with one O(4)Li3Ti2 square pyramid,  a cornercorner with one O(10)Li3TiCo square pyramid,  a cornercorner with one O(6)LiTiCo3 square pyramid,  a cornercorner with one O(9)LiTiCo3 square pyramid,  an edgeedge with one O(8)Li2TiCo3 octahedra,  an edgeedge with one O(2)Li4TiCo octahedra, edges with two equivalent O(3)Li3TiCo2 octahedra, edges with two equivalent O(7)Li4Ti2 octahedra,  an edgeedge with one O(5)Li2TiCo2 square pyramid,  an edgeedge with one O(6)LiTiCo3 square pyramid, edges with two equivalent O(4)Li3Ti2 square pyramids, and edges with two equivalent O(1)LiTiCo3 square pyramids. The corner-sharing octahedral tilt angles range from 4-9°. In the third O site, O(3) is bonded to one Li(1), one Li(2), one Li(3), one Ti(1), one Co(2), and one Co(4) atom to form OLi3TiCo2 octahedra that share  a cornercorner with one O(8)Li2TiCo3 octahedra,  a cornercorner with one O(3)Li3TiCo2 octahedra,  a cornercorner with one O(7)Li4Ti2 octahedra,  a cornercorner with one O(2)Li4TiCo octahedra,  a cornercorner with one O(5)Li2TiCo2 square pyramid,  a cornercorner with one O(9)LiTiCo3 square pyramid,  an edgeedge with one O(8)Li2TiCo3 octahedra,  an edgeedge with one O(7)Li4Ti2 octahedra, edges with two equivalent O(2)Li4TiCo octahedra,  an edgeedge with one O(10)Li3TiCo square pyramid,  an edgeedge with one O(9)LiTiCo3 square pyramid, edges with two equivalent O(4)Li3Ti2 square pyramids, edges with two equivalent O(1)LiTiCo3 square pyramids, and edges with two equivalent O(6)LiTiCo3 square pyramids. The corner-sharing octahedral tilt angles range from 0-10°. In the fourth O site, O(4) is bonded to one Li(1), one Li(3), one Li(4), and two equivalent Ti(1) atoms to form OLi3Ti2 square pyramids that share  a cornercorner with one O(8)Li2TiCo3 octahedra,  a cornercorner with one O(7)Li4Ti2 octahedra,  a cornercorner with one O(2)Li4TiCo octahedra,  a cornercorner with one O(10)Li3TiCo square pyramid,  a cornercorner with one O(6)LiTiCo3 square pyramid, corners with two equivalent O(5)Li2TiCo2 square pyramids, corners with two equivalent O(1)LiTiCo3 square pyramids,  an edgeedge with one O(8)Li2TiCo3 octahedra,  an edgeedge with one O(7)Li4Ti2 octahedra, edges with two equivalent O(3)Li3TiCo2 octahedra, edges with two equivalent O(2)Li4TiCo octahedra,  an edgeedge with one O(4)Li3Ti2 square pyramid, and  an edgeedge with one O(10)Li3TiCo square pyramid. The corner-sharing octahedral tilt angles range from 3-10°. In the fifth O site, O(5) is bonded to one Li(3), one Li(4), one Ti(2), one Co(1), and one Co(3) atom to form OLi2TiCo2 square pyramids that share  a cornercorner with one O(3)Li3TiCo2 octahedra,  a cornercorner with one O(5)Li2TiCo2 square pyramid,  a cornercorner with one O(9)LiTiCo3 square pyramid, corners with two equivalent O(4)Li3Ti2 square pyramids, corners with two equivalent O(10)Li3TiCo square pyramids, corners with two equivalent O(1)LiTiCo3 square pyramids,  an edgeedge with one O(2)Li4TiCo octahedra, edges with two equivalent O(8)Li2TiCo3 octahedra, edges with two equivalent O(7)Li4Ti2 octahedra,  an edgeedge with one O(10)Li3TiCo square pyramid,  an edgeedge with one O(6)LiTiCo3 square pyramid, and  an edgeedge with one O(9)LiTiCo3 square pyramid. The corner-sharing octahedral tilt angles are 4°. In the sixth O site, O(6) is bonded to one Li(1), one Ti(2), one Co(1), one Co(2), and one Co(4) atom to form OLiTiCo3 square pyramids that share  a cornercorner with one O(7)Li4Ti2 octahedra,  a cornercorner with one O(2)Li4TiCo octahedra,  a cornercorner with one O(4)Li3Ti2 square pyramid,  a cornercorner with one O(6)LiTiCo3 square pyramid,  a cornercorner with one O(9)LiTiCo3 square pyramid, corners with two equivalent O(10)Li3TiCo square pyramids, corners with two equivalent O(1)LiTiCo3 square pyramids,  an edgeedge with one O(8)Li2TiCo3 octahedra,  an edgeedge with one O(7)Li4Ti2 octahedra,  an edgeedge with one O(2)Li4TiCo octahedra, edges with two equivalent O(3)Li3TiCo2 octahedra,  an edgeedge with one O(5)Li2TiCo2 square pyramid,  an edgeedge with one O(1)LiTiCo3 square pyramid, and  an edgeedge with one O(9)LiTiCo3 square pyramid. The corner-sharing octahedral tilt angles range from 2-13°. In the seventh O site, O(7) is bonded to one Li(1), one Li(2), one Li(3), one Li(4), and two equivalent Ti(2) atoms to form OLi4Ti2 octahedra that share  a cornercorner with one O(3)Li3TiCo2 octahedra,  a cornercorner with one O(4)Li3Ti2 square pyramid,  a cornercorner with one O(10)Li3TiCo square pyramid,  a cornercorner with one O(1)LiTiCo3 square pyramid,  a cornercorner with one O(6)LiTiCo3 square pyramid,  a cornercorner with one O(9)LiTiCo3 square pyramid,  an edgeedge with one O(8)Li2TiCo3 octahedra,  an edgeedge with one O(3)Li3TiCo2 octahedra,  an edgeedge with one O(7)Li4Ti2 octahedra, edges with two equivalent O(2)Li4TiCo octahedra,  an edgeedge with one O(4)Li3Ti2 square pyramid,  an edgeedge with one O(6)LiTiCo3 square pyramid,  an edgeedge with one O(9)LiTiCo3 square pyramid, edges with two equivalent O(5)Li2TiCo2 square pyramids, and edges with two equivalent O(10)Li3TiCo square pyramids. The corner-sharing octahedral tilt angles are 10°. In the eighth O site, O(8) is bonded to one Li(2), one Li(4), one Ti(1), one Co(1), one Co(3), and one Co(4) atom to form OLi2TiCo3 octahedra that share  a cornercorner with one O(8)Li2TiCo3 octahedra,  a cornercorner with one O(3)Li3TiCo2 octahedra,  a cornercorner with one O(2)Li4TiCo octahedra,  a cornercorner with one O(4)Li3Ti2 square pyramid,  a cornercorner with one O(10)Li3TiCo square pyramid,  a cornercorner with one O(9)LiTiCo3 square pyramid,  an edgeedge with one O(3)Li3TiCo2 octahedra,  an edgeedge with one O(7)Li4Ti2 octahedra,  an edgeedge with one O(2)Li4TiCo octahedra,  an edgeedge with one O(4)Li3Ti2 square pyramid,  an edgeedge with one O(10)Li3TiCo square pyramid,  an edgeedge with one O(6)LiTiCo3 square pyramid, edges with two equivalent O(5)Li2TiCo2 square pyramids, edges with two equivalent O(1)LiTiCo3 square pyramids, and edges with two equivalent O(9)LiTiCo3 square pyramids. The corner-sharing octahedral tilt angles range from 0-4°. In the ninth O site, O(9) is bonded to one Li(2), one Ti(2), one Co(3), and two equivalent Co(4) atoms to form OLiTiCo3 square pyramids that share  a cornercorner with one O(8)Li2TiCo3 octahedra,  a cornercorner with one O(3)Li3TiCo2 octahedra,  a cornercorner with one O(7)Li4Ti2 octahedra,  a cornercorner with one O(2)Li4TiCo octahedra,  a cornercorner with one O(5)Li2TiCo2 square pyramid,  a cornercorner with one O(10)Li3TiCo square pyramid,  a cornercorner with one O(1)LiTiCo3 square pyramid,  a cornercorner with one O(6)LiTiCo3 square pyramid,  a cornercorner with one O(9)LiTiCo3 square pyramid,  an edgeedge with one O(3)Li3TiCo2 octahedra,  an edgeedge with one O(7)Li4Ti2 octahedra, edges with two equivalent O(8)Li2TiCo3 octahedra,  an edgeedge with one O(5)Li2TiCo2 square pyramid,  an edgeedge with one O(10)Li3TiCo square pyramid,  an edgeedge with one O(6)LiTiCo3 square pyramid, and  an edgeedge with one O(9)LiTiCo3 square pyramid. The corner-sharing octahedral tilt angles range from 2-4°. In the tenth O site, O(10) is bonded to one Li(3), two equivalent Li(4), one Ti(2), and one Co(4) atom to form OLi3TiCo square pyramids that share  a cornercorner with one O(8)Li2TiCo3 octahedra,  a cornercorner with one O(7)Li4Ti2 octahedra,  a cornercorner with one O(2)Li4TiCo octahedra,  a cornercorner with one O(4)Li3Ti2 square pyramid,  a cornercorner with one O(9)LiTiCo3 square pyramid, corners with two equivalent O(5)Li2TiCo2 square pyramids, corners with two equivalent O(6)LiTiCo3 square pyramids,  an edgeedge with one O(8)Li2TiCo3 octahedra,  an edgeedge with one O(3)Li3TiCo2 octahedra, edges with two equivalent O(7)Li4Ti2 octahedra,  an edgeedge with one O(5)Li2TiCo2 square pyramid,  an edgeedge with one O(4)Li3Ti2 square pyramid,  an edgeedge with one O(10)Li3TiCo square pyramid, and  an edgeedge with one O(9)LiTiCo3 square pyramid. The corner-sharing octahedral tilt angles range from 4-7°. is represented by the CIF file [CIF]
data_Li4Ti2Co3O10
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.557
_cell_length_b   7.705
_cell_length_c   7.768
_cell_angle_alpha   94.312
_cell_angle_beta   91.591
_cell_angle_gamma   114.697
_symmetry_Int_Tables_number   1
_cell_volume   354.811
_cell_formula_units_Z   2
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  0.092  0.405  0.594  1.0
  Li  Li1  1  0.192  0.804  0.701  1.0
  Li  Li2  1  0.743  0.493  0.754  1.0
  Li  Li3  1  0.257  0.507  0.246  1.0
  Li  Li4  1  0.808  0.196  0.299  1.0
  Li  Li5  1  0.908  0.595  0.406  1.0
  Li  Li6  1  0.581  0.397  0.088  1.0
  Li  Li7  1  0.419  0.603  0.912  1.0
  Ti  Ti8  1  0.455  0.301  0.467  1.0
  Ti  Ti9  1  0.545  0.699  0.533  1.0
  Ti  Ti10  1  0.973  0.307  0.945  1.0
  Ti  Ti11  1  0.027  0.693  0.055  1.0
  Co  Co12  1  0.646  0.099  0.653  1.0
  Co  Co13  1  0.354  0.901  0.347  1.0
  Co  Co14  1  0.000  0.000  0.500  1.0
  Co  Co15  1  0.500  0.000  0.000  1.0
  Co  Co16  1  0.147  0.097  0.152  1.0
  Co  Co17  1  0.853  0.903  0.848  1.0
  O  O18  1  0.658  0.955  0.439  1.0
  O  O19  1  0.248  0.667  0.470  1.0
  O  O20  1  0.752  0.333  0.530  1.0
  O  O21  1  0.864  0.763  0.631  1.0
  O  O22  1  0.342  0.045  0.561  1.0
  O  O23  1  0.428  0.462  0.652  1.0
  O  O24  1  0.353  0.766  0.127  1.0
  O  O25  1  0.055  0.860  0.273  1.0
  O  O26  1  0.945  0.140  0.727  1.0
  O  O27  1  0.923  0.454  0.155  1.0
  O  O28  1  0.572  0.538  0.348  1.0
  O  O29  1  0.553  0.862  0.764  1.0
  O  O30  1  0.447  0.138  0.236  1.0
  O  O31  1  0.136  0.237  0.369  1.0
  O  O32  1  0.077  0.546  0.845  1.0
  O  O33  1  0.151  0.943  0.941  1.0
  O  O34  1  0.647  0.234  0.873  1.0
  O  O35  1  0.748  0.667  0.962  1.0
  O  O36  1  0.252  0.333  0.038  1.0
  O  O37  1  0.849  0.057  0.059  1.0
[/CIF]
.