The material structure described by Li5Ti2Co3O10 is Caswellsilverite-derived structured and crystallizes in the triclinic P1 space group. There are five inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(10), one O(2), one O(4), one O(5), one O(6), and one O(9) atom 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(2)O6 octahedra, corners with two equivalent Co(3)O6 octahedra,  an edgeedge with one Li(2)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, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, and edges with two equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-10°. In the second Li site, Li(2) is bonded to one O(1), one O(2), one O(3), one O(5), one O(7), and one O(8) atom 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 Co(2)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, edges with two equivalent Li(4)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 range from 4-13°. In the third Li site, Li(3) is bonded to one O(2), one O(4), one O(5), one O(6), one O(7), and one O(9) 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 Li(5)O6 octahedra, corners with two equivalent Co(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(3)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 5-13°. In the fourth Li site, Li(4) is bonded to one O(1), one O(2), one O(5), one O(6), one O(7), and one O(9) atom 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(3)O6 octahedra, corners with two equivalent Co(2)O6 octahedra,  an edgeedge with one Li(5)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(1)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 8-10°. In the fifth Li site, Li(5) is bonded to one O(10), one O(3), one O(4), one O(6), 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,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra, corners with two equivalent Ti(1)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 Co(3)O6 octahedra, edges with two equivalent Li(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 range from 3-8°. 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 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(1)O6 octahedra, corners with two equivalent Li(5)O6 octahedra,  an edgeedge with one Li(1)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, edges with two equivalent Li(4)O6 octahedra, and edges with two equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-11°. 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 TiO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra, corners with two equivalent 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(1)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, and edges with two equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-9°. 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 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, corners with two equivalent Li(3)O6 octahedra,  an edgeedge with one Li(1)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, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(5)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 5-11°. In the second Co site, Co(2) 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 Li(1)O6 octahedra,  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra, corners with two equivalent Li(4)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, edges with two equivalent Ti(2)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 range from 6-9°. In the third Co site, Co(3) 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 Li(2)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra, corners with two equivalent Li(1)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Ti(2)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(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-10°. There are ten inequivalent O sites. In the first O site, O(1) is bonded to one Li(2), one Li(4), one Ti(1), one Co(1), one Co(2), and one Co(3) atom to form OLi2TiCo3 octahedra that share  a cornercorner with one O(10)Li2TiCo3 octahedra,  a cornercorner with one O(3)Li2TiCo3 octahedra,  a cornercorner with one O(7)Li3TiCo2 octahedra,  a cornercorner with one O(2)Li4Ti2 octahedra, corners with two equivalent O(6)Li4TiCo octahedra,  an edgeedge with one O(10)Li2TiCo3 octahedra,  an edgeedge with one O(4)Li3TiCo2 octahedra,  an edgeedge with one O(2)Li4Ti2 octahedra,  an edgeedge with one O(9)Li4Ti2 octahedra, edges with two equivalent O(3)Li2TiCo3 octahedra, edges with two equivalent O(8)Li2TiCo3 octahedra, edges with two equivalent O(7)Li3TiCo2 octahedra, and edges with two equivalent O(5)Li4TiCo octahedra. The corner-sharing octahedral tilt angles range from 3-8°. In the second O site, O(2) is bonded to one Li(1), one Li(2), one Li(3), one Li(4), one Ti(1), and one Ti(2) atom to form OLi4Ti2 octahedra that share  a cornercorner with one O(1)Li2TiCo3 octahedra,  a cornercorner with one O(4)Li3TiCo2 octahedra,  a cornercorner with one O(9)Li4Ti2 octahedra,  a cornercorner with one O(5)Li4TiCo octahedra, corners with two equivalent O(8)Li2TiCo3 octahedra,  an edgeedge with one O(1)Li2TiCo3 octahedra,  an edgeedge with one O(10)Li2TiCo3 octahedra,  an edgeedge with one O(3)Li2TiCo3 octahedra,  an edgeedge with one O(4)Li3TiCo2 octahedra, edges with two equivalent O(7)Li3TiCo2 octahedra, edges with two equivalent O(9)Li4Ti2 octahedra, edges with two equivalent O(5)Li4TiCo octahedra, and edges with two equivalent O(6)Li4TiCo octahedra. The corner-sharing octahedral tilt angles range from 1-11°. In the third O site, O(3) is bonded to one Li(2), one Li(5), one Ti(1), one Co(1), one Co(2), and one Co(3) atom to form OLi2TiCo3 octahedra that share  a cornercorner with one O(1)Li2TiCo3 octahedra,  a cornercorner with one O(8)Li2TiCo3 octahedra,  a cornercorner with one O(4)Li3TiCo2 octahedra,  a cornercorner with one O(5)Li4TiCo octahedra, corners with two equivalent O(9)Li4Ti2 octahedra,  an edgeedge with one O(4)Li3TiCo2 octahedra,  an edgeedge with one O(2)Li4Ti2 octahedra,  an edgeedge with one O(5)Li4TiCo octahedra,  an edgeedge with one O(6)Li4TiCo octahedra, edges with two equivalent O(1)Li2TiCo3 octahedra, edges with two equivalent O(10)Li2TiCo3 octahedra, edges with two equivalent O(8)Li2TiCo3 octahedra, and edges with two equivalent O(7)Li3TiCo2 octahedra. The corner-sharing octahedral tilt angles range from 4-9°. In the fourth O site, O(4) is bonded to one Li(1), one Li(3), one Li(5), one Ti(2), one Co(1), and one Co(2) atom to form OLi3TiCo2 octahedra that share  a cornercorner with one O(10)Li2TiCo3 octahedra,  a cornercorner with one O(3)Li2TiCo3 octahedra,  a cornercorner with one O(2)Li4Ti2 octahedra,  a cornercorner with one O(6)Li4TiCo octahedra, corners with two equivalent O(7)Li3TiCo2 octahedra,  an edgeedge with one O(1)Li2TiCo3 octahedra,  an edgeedge with one O(3)Li2TiCo3 octahedra,  an edgeedge with one O(2)Li4Ti2 octahedra,  an edgeedge with one O(5)Li4TiCo octahedra, edges with two equivalent O(10)Li2TiCo3 octahedra, edges with two equivalent O(8)Li2TiCo3 octahedra, edges with two equivalent O(9)Li4Ti2 octahedra, and edges with two equivalent O(6)Li4TiCo octahedra. The corner-sharing octahedral tilt angles range from 2-11°. In the fifth O site, O(5) is bonded to one Li(1), one Li(2), one Li(3), one Li(4), one Ti(1), and one Co(3) atom to form OLi4TiCo octahedra that share  a cornercorner with one O(3)Li2TiCo3 octahedra,  a cornercorner with one O(7)Li3TiCo2 octahedra,  a cornercorner with one O(2)Li4Ti2 octahedra,  a cornercorner with one O(6)Li4TiCo octahedra, corners with two equivalent O(10)Li2TiCo3 octahedra,  an edgeedge with one O(3)Li2TiCo3 octahedra,  an edgeedge with one O(8)Li2TiCo3 octahedra,  an edgeedge with one O(4)Li3TiCo2 octahedra,  an edgeedge with one O(6)Li4TiCo octahedra, edges with two equivalent O(1)Li2TiCo3 octahedra, edges with two equivalent O(7)Li3TiCo2 octahedra, edges with two equivalent O(2)Li4Ti2 octahedra, and edges with two equivalent O(9)Li4Ti2 octahedra. The corner-sharing octahedral tilt angles range from 4-9°. In the sixth O site, O(6) is bonded to one Li(1), one Li(3), one Li(4), one Li(5), one Ti(2), and one Co(2) atom to form OLi4TiCo octahedra that share  a cornercorner with one O(8)Li2TiCo3 octahedra,  a cornercorner with one O(4)Li3TiCo2 octahedra,  a cornercorner with one O(9)Li4Ti2 octahedra,  a cornercorner with one O(5)Li4TiCo octahedra, corners with two equivalent O(1)Li2TiCo3 octahedra,  an edgeedge with one O(3)Li2TiCo3 octahedra,  an edgeedge with one O(8)Li2TiCo3 octahedra,  an edgeedge with one O(7)Li3TiCo2 octahedra,  an edgeedge with one O(5)Li4TiCo octahedra, edges with two equivalent O(10)Li2TiCo3 octahedra, edges with two equivalent O(4)Li3TiCo2 octahedra, edges with two equivalent O(2)Li4Ti2 octahedra, and edges with two equivalent O(9)Li4Ti2 octahedra. The corner-sharing octahedral tilt angles range from 2-7°. In the seventh O site, O(7) is bonded to one Li(2), one Li(3), one Li(4), one Ti(1), one Co(1), and one Co(3) atom to form OLi3TiCo2 octahedra that share  a cornercorner with one O(1)Li2TiCo3 octahedra,  a cornercorner with one O(8)Li2TiCo3 octahedra,  a cornercorner with one O(9)Li4Ti2 octahedra,  a cornercorner with one O(5)Li4TiCo octahedra, corners with two equivalent O(4)Li3TiCo2 octahedra,  an edgeedge with one O(10)Li2TiCo3 octahedra,  an edgeedge with one O(8)Li2TiCo3 octahedra,  an edgeedge with one O(9)Li4Ti2 octahedra,  an edgeedge with one O(6)Li4TiCo octahedra, edges with two equivalent O(1)Li2TiCo3 octahedra, edges with two equivalent O(3)Li2TiCo3 octahedra, edges with two equivalent O(2)Li4Ti2 octahedra, and edges with two equivalent O(5)Li4TiCo octahedra. The corner-sharing octahedral tilt angles range from 3-10°. In the eighth O site, O(8) is bonded to one Li(2), one Li(5), one Ti(2), one Co(1), one Co(2), and one Co(3) atom to form OLi2TiCo3 octahedra that share  a cornercorner with one O(10)Li2TiCo3 octahedra,  a cornercorner with one O(3)Li2TiCo3 octahedra,  a cornercorner with one O(7)Li3TiCo2 octahedra,  a cornercorner with one O(6)Li4TiCo octahedra, corners with two equivalent O(2)Li4Ti2 octahedra,  an edgeedge with one O(7)Li3TiCo2 octahedra,  an edgeedge with one O(9)Li4Ti2 octahedra,  an edgeedge with one O(5)Li4TiCo octahedra,  an edgeedge with one O(6)Li4TiCo octahedra, edges with two equivalent O(1)Li2TiCo3 octahedra, edges with two equivalent O(10)Li2TiCo3 octahedra, edges with two equivalent O(3)Li2TiCo3 octahedra, and edges with two equivalent O(4)Li3TiCo2 octahedra. The corner-sharing octahedral tilt angles range from 4-8°. In the ninth O site, O(9) is bonded to one Li(1), one Li(3), one Li(4), one Li(5), one Ti(1), and one Ti(2) atom to form OLi4Ti2 octahedra that share  a cornercorner with one O(10)Li2TiCo3 octahedra,  a cornercorner with one O(7)Li3TiCo2 octahedra,  a cornercorner with one O(2)Li4Ti2 octahedra,  a cornercorner with one O(6)Li4TiCo octahedra, corners with two equivalent O(3)Li2TiCo3 octahedra,  an edgeedge with one O(1)Li2TiCo3 octahedra,  an edgeedge with one O(10)Li2TiCo3 octahedra,  an edgeedge with one O(8)Li2TiCo3 octahedra,  an edgeedge with one O(7)Li3TiCo2 octahedra, edges with two equivalent O(4)Li3TiCo2 octahedra, edges with two equivalent O(2)Li4Ti2 octahedra, edges with two equivalent O(5)Li4TiCo octahedra, and edges with two equivalent O(6)Li4TiCo octahedra. The corner-sharing octahedral tilt angles range from 1-10°. In the tenth O site, O(10) is bonded to one Li(1), one Li(5), one Ti(2), one Co(1), one Co(2), and one Co(3) atom to form OLi2TiCo3 octahedra that share  a cornercorner with one O(1)Li2TiCo3 octahedra,  a cornercorner with one O(8)Li2TiCo3 octahedra,  a cornercorner with one O(4)Li3TiCo2 octahedra,  a cornercorner with one O(9)Li4Ti2 octahedra, corners with two equivalent O(5)Li4TiCo octahedra,  an edgeedge with one O(1)Li2TiCo3 octahedra,  an edgeedge with one O(7)Li3TiCo2 octahedra,  an edgeedge with one O(2)Li4Ti2 octahedra,  an edgeedge with one O(9)Li4Ti2 octahedra, edges with two equivalent O(3)Li2TiCo3 octahedra, edges with two equivalent O(8)Li2TiCo3 octahedra, edges with two equivalent O(4)Li3TiCo2 octahedra, and edges with two equivalent O(6)Li4TiCo octahedra. The corner-sharing octahedral tilt angles range from 4-9°. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li5Ti2Co3O10
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.110
_cell_length_b   5.138
_cell_length_c   7.731
_cell_angle_alpha   71.287
_cell_angle_beta   71.202
_cell_angle_gamma   80.594
_symmetry_Int_Tables_number   1
_cell_volume   181.580
_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  0.223  0.503  0.595  1.0
  Li  Li1  1  0.428  0.489  0.201  1.0
  Li  Li2  1  0.498  0.000  0.498  1.0
  Li  Li3  1  0.784  0.512  0.403  1.0
  Li  Li4  1  0.590  0.504  0.794  1.0
  Ti  Ti5  1  0.104  0.993  0.304  1.0
  Ti  Ti6  1  0.886  0.017  0.696  1.0
  Co  Co7  1  0.007  0.503  0.995  1.0
  Co  Co8  1  0.302  0.997  0.894  1.0
  Co  Co9  1  0.697  0.003  0.099  1.0
  O  O10  1  0.020  0.777  0.154  1.0
  O  O11  1  0.130  0.228  0.455  1.0
  O  O12  1  0.355  0.231  0.063  1.0
  O  O13  1  0.231  0.758  0.752  1.0
  O  O14  1  0.442  0.778  0.327  1.0
  O  O15  1  0.571  0.240  0.650  1.0
  O  O16  1  0.773  0.231  0.234  1.0
  O  O17  1  0.664  0.773  0.948  1.0
  O  O18  1  0.869  0.778  0.544  1.0
  O  O19  1  0.936  0.228  0.859  1.0
[/CIF]
.
The material structure described by Li5Ti2Co3O10 is Caswellsilverite-derived structured and crystallizes in the triclinic P1 space group. There are five inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(10), one O(2), one O(4), one O(5), one O(6), and one O(9) atom 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(2)O6 octahedra, corners with two equivalent Co(3)O6 octahedra,  an edgeedge with one Li(2)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, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, and edges with two equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-10°. In the second Li site, Li(2) is bonded to one O(1), one O(2), one O(3), one O(5), one O(7), and one O(8) atom 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 Co(2)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, edges with two equivalent Li(4)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 range from 4-13°. In the third Li site, Li(3) is bonded to one O(2), one O(4), one O(5), one O(6), one O(7), and one O(9) 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 Li(5)O6 octahedra, corners with two equivalent Co(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(3)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 5-13°. In the fourth Li site, Li(4) is bonded to one O(1), one O(2), one O(5), one O(6), one O(7), and one O(9) atom 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(3)O6 octahedra, corners with two equivalent Co(2)O6 octahedra,  an edgeedge with one Li(5)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(1)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 8-10°. In the fifth Li site, Li(5) is bonded to one O(10), one O(3), one O(4), one O(6), 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,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra, corners with two equivalent Ti(1)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 Co(3)O6 octahedra, edges with two equivalent Li(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 range from 3-8°. 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 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(1)O6 octahedra, corners with two equivalent Li(5)O6 octahedra,  an edgeedge with one Li(1)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, edges with two equivalent Li(4)O6 octahedra, and edges with two equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-11°. 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 TiO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra, corners with two equivalent 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(1)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, and edges with two equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-9°. 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 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, corners with two equivalent Li(3)O6 octahedra,  an edgeedge with one Li(1)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, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(5)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 5-11°. In the second Co site, Co(2) 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 Li(1)O6 octahedra,  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra, corners with two equivalent Li(4)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, edges with two equivalent Ti(2)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 range from 6-9°. In the third Co site, Co(3) 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 Li(2)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra, corners with two equivalent Li(1)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Ti(2)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(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-10°. There are ten inequivalent O sites. In the first O site, O(1) is bonded to one Li(2), one Li(4), one Ti(1), one Co(1), one Co(2), and one Co(3) atom to form OLi2TiCo3 octahedra that share  a cornercorner with one O(10)Li2TiCo3 octahedra,  a cornercorner with one O(3)Li2TiCo3 octahedra,  a cornercorner with one O(7)Li3TiCo2 octahedra,  a cornercorner with one O(2)Li4Ti2 octahedra, corners with two equivalent O(6)Li4TiCo octahedra,  an edgeedge with one O(10)Li2TiCo3 octahedra,  an edgeedge with one O(4)Li3TiCo2 octahedra,  an edgeedge with one O(2)Li4Ti2 octahedra,  an edgeedge with one O(9)Li4Ti2 octahedra, edges with two equivalent O(3)Li2TiCo3 octahedra, edges with two equivalent O(8)Li2TiCo3 octahedra, edges with two equivalent O(7)Li3TiCo2 octahedra, and edges with two equivalent O(5)Li4TiCo octahedra. The corner-sharing octahedral tilt angles range from 3-8°. In the second O site, O(2) is bonded to one Li(1), one Li(2), one Li(3), one Li(4), one Ti(1), and one Ti(2) atom to form OLi4Ti2 octahedra that share  a cornercorner with one O(1)Li2TiCo3 octahedra,  a cornercorner with one O(4)Li3TiCo2 octahedra,  a cornercorner with one O(9)Li4Ti2 octahedra,  a cornercorner with one O(5)Li4TiCo octahedra, corners with two equivalent O(8)Li2TiCo3 octahedra,  an edgeedge with one O(1)Li2TiCo3 octahedra,  an edgeedge with one O(10)Li2TiCo3 octahedra,  an edgeedge with one O(3)Li2TiCo3 octahedra,  an edgeedge with one O(4)Li3TiCo2 octahedra, edges with two equivalent O(7)Li3TiCo2 octahedra, edges with two equivalent O(9)Li4Ti2 octahedra, edges with two equivalent O(5)Li4TiCo octahedra, and edges with two equivalent O(6)Li4TiCo octahedra. The corner-sharing octahedral tilt angles range from 1-11°. In the third O site, O(3) is bonded to one Li(2), one Li(5), one Ti(1), one Co(1), one Co(2), and one Co(3) atom to form OLi2TiCo3 octahedra that share  a cornercorner with one O(1)Li2TiCo3 octahedra,  a cornercorner with one O(8)Li2TiCo3 octahedra,  a cornercorner with one O(4)Li3TiCo2 octahedra,  a cornercorner with one O(5)Li4TiCo octahedra, corners with two equivalent O(9)Li4Ti2 octahedra,  an edgeedge with one O(4)Li3TiCo2 octahedra,  an edgeedge with one O(2)Li4Ti2 octahedra,  an edgeedge with one O(5)Li4TiCo octahedra,  an edgeedge with one O(6)Li4TiCo octahedra, edges with two equivalent O(1)Li2TiCo3 octahedra, edges with two equivalent O(10)Li2TiCo3 octahedra, edges with two equivalent O(8)Li2TiCo3 octahedra, and edges with two equivalent O(7)Li3TiCo2 octahedra. The corner-sharing octahedral tilt angles range from 4-9°. In the fourth O site, O(4) is bonded to one Li(1), one Li(3), one Li(5), one Ti(2), one Co(1), and one Co(2) atom to form OLi3TiCo2 octahedra that share  a cornercorner with one O(10)Li2TiCo3 octahedra,  a cornercorner with one O(3)Li2TiCo3 octahedra,  a cornercorner with one O(2)Li4Ti2 octahedra,  a cornercorner with one O(6)Li4TiCo octahedra, corners with two equivalent O(7)Li3TiCo2 octahedra,  an edgeedge with one O(1)Li2TiCo3 octahedra,  an edgeedge with one O(3)Li2TiCo3 octahedra,  an edgeedge with one O(2)Li4Ti2 octahedra,  an edgeedge with one O(5)Li4TiCo octahedra, edges with two equivalent O(10)Li2TiCo3 octahedra, edges with two equivalent O(8)Li2TiCo3 octahedra, edges with two equivalent O(9)Li4Ti2 octahedra, and edges with two equivalent O(6)Li4TiCo octahedra. The corner-sharing octahedral tilt angles range from 2-11°. In the fifth O site, O(5) is bonded to one Li(1), one Li(2), one Li(3), one Li(4), one Ti(1), and one Co(3) atom to form OLi4TiCo octahedra that share  a cornercorner with one O(3)Li2TiCo3 octahedra,  a cornercorner with one O(7)Li3TiCo2 octahedra,  a cornercorner with one O(2)Li4Ti2 octahedra,  a cornercorner with one O(6)Li4TiCo octahedra, corners with two equivalent O(10)Li2TiCo3 octahedra,  an edgeedge with one O(3)Li2TiCo3 octahedra,  an edgeedge with one O(8)Li2TiCo3 octahedra,  an edgeedge with one O(4)Li3TiCo2 octahedra,  an edgeedge with one O(6)Li4TiCo octahedra, edges with two equivalent O(1)Li2TiCo3 octahedra, edges with two equivalent O(7)Li3TiCo2 octahedra, edges with two equivalent O(2)Li4Ti2 octahedra, and edges with two equivalent O(9)Li4Ti2 octahedra. The corner-sharing octahedral tilt angles range from 4-9°. In the sixth O site, O(6) is bonded to one Li(1), one Li(3), one Li(4), one Li(5), one Ti(2), and one Co(2) atom to form OLi4TiCo octahedra that share  a cornercorner with one O(8)Li2TiCo3 octahedra,  a cornercorner with one O(4)Li3TiCo2 octahedra,  a cornercorner with one O(9)Li4Ti2 octahedra,  a cornercorner with one O(5)Li4TiCo octahedra, corners with two equivalent O(1)Li2TiCo3 octahedra,  an edgeedge with one O(3)Li2TiCo3 octahedra,  an edgeedge with one O(8)Li2TiCo3 octahedra,  an edgeedge with one O(7)Li3TiCo2 octahedra,  an edgeedge with one O(5)Li4TiCo octahedra, edges with two equivalent O(10)Li2TiCo3 octahedra, edges with two equivalent O(4)Li3TiCo2 octahedra, edges with two equivalent O(2)Li4Ti2 octahedra, and edges with two equivalent O(9)Li4Ti2 octahedra. The corner-sharing octahedral tilt angles range from 2-7°. In the seventh O site, O(7) is bonded to one Li(2), one Li(3), one Li(4), one Ti(1), one Co(1), and one Co(3) atom to form OLi3TiCo2 octahedra that share  a cornercorner with one O(1)Li2TiCo3 octahedra,  a cornercorner with one O(8)Li2TiCo3 octahedra,  a cornercorner with one O(9)Li4Ti2 octahedra,  a cornercorner with one O(5)Li4TiCo octahedra, corners with two equivalent O(4)Li3TiCo2 octahedra,  an edgeedge with one O(10)Li2TiCo3 octahedra,  an edgeedge with one O(8)Li2TiCo3 octahedra,  an edgeedge with one O(9)Li4Ti2 octahedra,  an edgeedge with one O(6)Li4TiCo octahedra, edges with two equivalent O(1)Li2TiCo3 octahedra, edges with two equivalent O(3)Li2TiCo3 octahedra, edges with two equivalent O(2)Li4Ti2 octahedra, and edges with two equivalent O(5)Li4TiCo octahedra. The corner-sharing octahedral tilt angles range from 3-10°. In the eighth O site, O(8) is bonded to one Li(2), one Li(5), one Ti(2), one Co(1), one Co(2), and one Co(3) atom to form OLi2TiCo3 octahedra that share  a cornercorner with one O(10)Li2TiCo3 octahedra,  a cornercorner with one O(3)Li2TiCo3 octahedra,  a cornercorner with one O(7)Li3TiCo2 octahedra,  a cornercorner with one O(6)Li4TiCo octahedra, corners with two equivalent O(2)Li4Ti2 octahedra,  an edgeedge with one O(7)Li3TiCo2 octahedra,  an edgeedge with one O(9)Li4Ti2 octahedra,  an edgeedge with one O(5)Li4TiCo octahedra,  an edgeedge with one O(6)Li4TiCo octahedra, edges with two equivalent O(1)Li2TiCo3 octahedra, edges with two equivalent O(10)Li2TiCo3 octahedra, edges with two equivalent O(3)Li2TiCo3 octahedra, and edges with two equivalent O(4)Li3TiCo2 octahedra. The corner-sharing octahedral tilt angles range from 4-8°. In the ninth O site, O(9) is bonded to one Li(1), one Li(3), one Li(4), one Li(5), one Ti(1), and one Ti(2) atom to form OLi4Ti2 octahedra that share  a cornercorner with one O(10)Li2TiCo3 octahedra,  a cornercorner with one O(7)Li3TiCo2 octahedra,  a cornercorner with one O(2)Li4Ti2 octahedra,  a cornercorner with one O(6)Li4TiCo octahedra, corners with two equivalent O(3)Li2TiCo3 octahedra,  an edgeedge with one O(1)Li2TiCo3 octahedra,  an edgeedge with one O(10)Li2TiCo3 octahedra,  an edgeedge with one O(8)Li2TiCo3 octahedra,  an edgeedge with one O(7)Li3TiCo2 octahedra, edges with two equivalent O(4)Li3TiCo2 octahedra, edges with two equivalent O(2)Li4Ti2 octahedra, edges with two equivalent O(5)Li4TiCo octahedra, and edges with two equivalent O(6)Li4TiCo octahedra. The corner-sharing octahedral tilt angles range from 1-10°. In the tenth O site, O(10) is bonded to one Li(1), one Li(5), one Ti(2), one Co(1), one Co(2), and one Co(3) atom to form OLi2TiCo3 octahedra that share  a cornercorner with one O(1)Li2TiCo3 octahedra,  a cornercorner with one O(8)Li2TiCo3 octahedra,  a cornercorner with one O(4)Li3TiCo2 octahedra,  a cornercorner with one O(9)Li4Ti2 octahedra, corners with two equivalent O(5)Li4TiCo octahedra,  an edgeedge with one O(1)Li2TiCo3 octahedra,  an edgeedge with one O(7)Li3TiCo2 octahedra,  an edgeedge with one O(2)Li4Ti2 octahedra,  an edgeedge with one O(9)Li4Ti2 octahedra, edges with two equivalent O(3)Li2TiCo3 octahedra, edges with two equivalent O(8)Li2TiCo3 octahedra, edges with two equivalent O(4)Li3TiCo2 octahedra, and edges with two equivalent O(6)Li4TiCo octahedra. The corner-sharing octahedral tilt angles range from 4-9°. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li5Ti2Co3O10
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.110
_cell_length_b   5.138
_cell_length_c   7.731
_cell_angle_alpha   71.287
_cell_angle_beta   71.202
_cell_angle_gamma   80.594
_symmetry_Int_Tables_number   1
_cell_volume   181.580
_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  0.223  0.503  0.595  1.0
  Li  Li1  1  0.428  0.489  0.201  1.0
  Li  Li2  1  0.498  0.000  0.498  1.0
  Li  Li3  1  0.784  0.512  0.403  1.0
  Li  Li4  1  0.590  0.504  0.794  1.0
  Ti  Ti5  1  0.104  0.993  0.304  1.0
  Ti  Ti6  1  0.886  0.017  0.696  1.0
  Co  Co7  1  0.007  0.503  0.995  1.0
  Co  Co8  1  0.302  0.997  0.894  1.0
  Co  Co9  1  0.697  0.003  0.099  1.0
  O  O10  1  0.020  0.777  0.154  1.0
  O  O11  1  0.130  0.228  0.455  1.0
  O  O12  1  0.355  0.231  0.063  1.0
  O  O13  1  0.231  0.758  0.752  1.0
  O  O14  1  0.442  0.778  0.327  1.0
  O  O15  1  0.571  0.240  0.650  1.0
  O  O16  1  0.773  0.231  0.234  1.0
  O  O17  1  0.664  0.773  0.948  1.0
  O  O18  1  0.869  0.778  0.544  1.0
  O  O19  1  0.936  0.228  0.859  1.0
[/CIF]
.