The material described by Li4TiCo3O8 is beta Polonium-derived structured and 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(5), one O(6), one O(7), and one O(8) atom to form LiO6 octahedra that share corners with three equivalent Ti(1)O6 octahedra, corners with three equivalent 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,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, and edges with two equivalent Li(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-6°. In the second Li site, Li(2) is bonded to one O(1), one O(2), one O(5), one O(6), one O(7), and one O(8) atom to form LiO6 octahedra that share corners with three equivalent Co(1)O6 octahedra, corners with three equivalent Co(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(5)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, and edges with two equivalent Li(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-10°. In the third Li site, Li(3) is bonded to one O(1), one O(2), one O(3), one O(4), one O(7), and one O(8) atom to form LiO6 octahedra that share corners with three equivalent Co(2)O6 octahedra, corners with three equivalent Co(5)O6 octahedra,  an edgeedge with one Ti(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,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, and edges with two equivalent Li(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-9°. In the fourth Li site, Li(4) is bonded to one O(1), one O(2), one O(3), one O(4), one O(5), and one O(6) atom to form LiO6 octahedra that share corners with three equivalent Co(3)O6 octahedra, corners with three equivalent Co(6)O6 octahedra,  an edgeedge with one Ti(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,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, and edges with two equivalent Li(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-7°. There are two inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to two equivalent O(4), two equivalent O(5), and two equivalent O(7) atoms to form TiO6 octahedra that share corners with six equivalent Li(1)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, edges with two equivalent Co(1)O6 octahedra, edges with two equivalent Co(5)O6 octahedra, and edges with two equivalent Co(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-2°. In the second Ti site, Ti(2) is bonded to two equivalent O(3), two equivalent O(6), and two equivalent O(8) atoms to form TiO6 octahedra that share corners with six equivalent Li(1)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, edges with two equivalent Co(2)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, and edges with two equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-6°. There are six inequivalent Co sites. In the first Co site, Co(1) is bonded to two equivalent O(2), two equivalent O(5), and two equivalent O(7) atoms to form CoO6 octahedra that share corners with six equivalent Li(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, edges with two equivalent Co(5)O6 octahedra, and edges with two equivalent Co(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-9°. In the second Co site, Co(2) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(8) atoms to form CoO6 octahedra that share corners with six equivalent Li(3)O6 octahedra, edges with two equivalent Li(1)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(3)O6 octahedra, and edges with two equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-9°. In the third Co site, Co(3) 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 six equivalent Li(4)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, edges with two equivalent Ti(2)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and edges with two equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-7°. In the fourth Co site, Co(4) is bonded to two equivalent O(1), two equivalent O(6), and two equivalent O(8) atoms to form CoO6 octahedra that share corners with six equivalent Li(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent 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 6-10°. In the fifth Co site, Co(5) is bonded to two equivalent O(2), two equivalent O(4), and two equivalent O(7) atoms to form CoO6 octahedra that share corners with six equivalent Li(3)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(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(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-7°. In the sixth Co site, Co(6) is bonded to two equivalent O(2), two equivalent O(4), and two equivalent O(5) atoms to form CoO6 octahedra that share corners with six equivalent Li(4)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, edges with two equivalent Ti(1)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and edges with two equivalent Co(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-7°. There are eight inequivalent O sites. In the first O site, O(1) is bonded to one Li(2), one Li(3), one Li(4), one Co(2), one Co(3), and one Co(4) atom to form OLi3Co3 octahedra that share corners with three equivalent O(1)Li3Co3 octahedra, corners with three equivalent O(2)Li3Co3 octahedra,  an edgeedge with one O(4)Li3TiCo2 octahedra,  an edgeedge with one O(5)Li3TiCo2 octahedra,  an edgeedge with one O(7)Li3TiCo2 octahedra, edges with three equivalent O(3)Li3TiCo2 octahedra, edges with three equivalent O(6)Li3TiCo2 octahedra, and edges with three equivalent O(8)Li3TiCo2 octahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the second O site, O(2) is bonded to one Li(2), one Li(3), one Li(4), one Co(1), one Co(5), and one Co(6) atom to form OLi3Co3 octahedra that share corners with three equivalent O(1)Li3Co3 octahedra, corners with three equivalent O(2)Li3Co3 octahedra,  an edgeedge with one O(3)Li3TiCo2 octahedra,  an edgeedge with one O(6)Li3TiCo2 octahedra,  an edgeedge with one O(8)Li3TiCo2 octahedra, edges with three equivalent O(4)Li3TiCo2 octahedra, edges with three equivalent O(5)Li3TiCo2 octahedra, and edges with three equivalent O(7)Li3TiCo2 octahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the third O site, O(3) is bonded to one Li(1), one Li(3), one Li(4), one Ti(2), one Co(2), and one Co(3) atom to form OLi3TiCo2 octahedra that share corners with three equivalent O(3)Li3TiCo2 octahedra, corners with three equivalent O(4)Li3TiCo2 octahedra,  an edgeedge with one O(2)Li3Co3 octahedra,  an edgeedge with one O(5)Li3TiCo2 octahedra,  an edgeedge with one O(7)Li3TiCo2 octahedra, edges with three equivalent O(1)Li3Co3 octahedra, edges with three equivalent O(6)Li3TiCo2 octahedra, and edges with three equivalent O(8)Li3TiCo2 octahedra. The corner-sharing octahedral tilt angles range from 0-2°. In the fourth O site, O(4) is bonded to one Li(1), one Li(3), one Li(4), one Ti(1), one Co(5), and one Co(6) atom to form OLi3TiCo2 octahedra that share corners with three equivalent O(3)Li3TiCo2 octahedra, corners with three equivalent O(4)Li3TiCo2 octahedra,  an edgeedge with one O(1)Li3Co3 octahedra,  an edgeedge with one O(6)Li3TiCo2 octahedra,  an edgeedge with one O(8)Li3TiCo2 octahedra, edges with three equivalent O(2)Li3Co3 octahedra, edges with three equivalent O(5)Li3TiCo2 octahedra, and edges with three equivalent O(7)Li3TiCo2 octahedra. The corner-sharing octahedral tilt angles range from 0-2°. In the fifth O site, O(5) is bonded to one Li(1), one Li(2), one Li(4), one Ti(1), one Co(1), and one Co(6) atom to form OLi3TiCo2 octahedra that share corners with three equivalent O(5)Li3TiCo2 octahedra, corners with three equivalent O(6)Li3TiCo2 octahedra,  an edgeedge with one O(1)Li3Co3 octahedra,  an edgeedge with one O(3)Li3TiCo2 octahedra,  an edgeedge with one O(8)Li3TiCo2 octahedra, edges with three equivalent O(2)Li3Co3 octahedra, edges with three equivalent O(4)Li3TiCo2 octahedra, and edges with three equivalent O(7)Li3TiCo2 octahedra. The corner-sharing octahedral tilt angles range from 0-2°. In the sixth O site, O(6) is bonded to one Li(1), one Li(2), one Li(4), one Ti(2), one Co(3), and one Co(4) atom to form OLi3TiCo2 octahedra that share corners with three equivalent O(5)Li3TiCo2 octahedra, corners with three equivalent O(6)Li3TiCo2 octahedra,  an edgeedge with one O(2)Li3Co3 octahedra,  an edgeedge with one O(4)Li3TiCo2 octahedra,  an edgeedge with one O(7)Li3TiCo2 octahedra, edges with three equivalent O(1)Li3Co3 octahedra, edges with three equivalent O(3)Li3TiCo2 octahedra, and edges with three equivalent O(8)Li3TiCo2 octahedra. The corner-sharing octahedral tilt angles range from 0-2°. In the seventh O site, O(7) is bonded to one Li(1), one Li(2), one Li(3), one Ti(1), one Co(1), and one Co(5) atom to form OLi3TiCo2 octahedra that share corners with three equivalent O(7)Li3TiCo2 octahedra, corners with three equivalent O(8)Li3TiCo2 octahedra,  an edgeedge with one O(1)Li3Co3 octahedra,  an edgeedge with one O(3)Li3TiCo2 octahedra,  an edgeedge with one O(6)Li3TiCo2 octahedra, edges with three equivalent O(2)Li3Co3 octahedra, edges with three equivalent O(4)Li3TiCo2 octahedra, and edges with three equivalent O(5)Li3TiCo2 octahedra. The corner-sharing octahedral tilt angles range from 0-2°. In the eighth O site, O(8) is bonded to one Li(1), one Li(2), one Li(3), one Ti(2), one Co(2), and one Co(4) atom to form OLi3TiCo2 octahedra that share corners with three equivalent O(7)Li3TiCo2 octahedra, corners with three equivalent O(8)Li3TiCo2 octahedra,  an edgeedge with one O(2)Li3Co3 octahedra,  an edgeedge with one O(4)Li3TiCo2 octahedra,  an edgeedge with one O(5)Li3TiCo2 octahedra, edges with three equivalent O(1)Li3Co3 octahedra, edges with three equivalent O(3)Li3TiCo2 octahedra, and edges with three equivalent O(6)Li3TiCo2 octahedra. The corner-sharing octahedral tilt angles range from 0-2°. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li4TiCo3O8
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.857
_cell_length_b   5.913
_cell_length_c   5.925
_cell_angle_alpha   119.575
_cell_angle_beta   90.427
_cell_angle_gamma   119.373
_symmetry_Int_Tables_number   1
_cell_volume   146.830
_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
  Co  Co0  1  0.500  1.000  1.000  1.0
  Co  Co1  1  0.500  0.500  1.000  1.0
  Co  Co2  1  1.000  0.500  1.000  1.0
  Li  Li3  1  0.500  0.000  0.500  1.0
  Li  Li4  1  0.000  1.000  0.500  1.0
  Li  Li5  1  0.000  0.500  0.500  1.0
  Li  Li6  1  0.500  0.500  0.500  1.0
  O  O7  1  0.254  0.512  0.786  1.0
  O  O8  1  0.746  0.488  0.214  1.0
  O  O9  1  0.767  0.523  0.770  1.0
  O  O10  1  0.233  0.477  0.230  1.0
  O  O11  1  0.759  0.999  0.764  1.0
  O  O12  1  0.242  0.009  0.768  1.0
  O  O13  1  0.241  0.001  0.236  1.0
  O  O14  1  0.758  0.991  0.232  1.0
  Ti  Ti15  1  0.000  0.000  0.000  1.0
[/CIF]
.
The material described by Li4TiCo3O8 is beta Polonium-derived structured and 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(5), one O(6), one O(7), and one O(8) atom to form LiO6 octahedra that share corners with three equivalent Ti(1)O6 octahedra, corners with three equivalent 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,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, and edges with two equivalent Li(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-6°. In the second Li site, Li(2) is bonded to one O(1), one O(2), one O(5), one O(6), one O(7), and one O(8) atom to form LiO6 octahedra that share corners with three equivalent Co(1)O6 octahedra, corners with three equivalent Co(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(5)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, and edges with two equivalent Li(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-10°. In the third Li site, Li(3) is bonded to one O(1), one O(2), one O(3), one O(4), one O(7), and one O(8) atom to form LiO6 octahedra that share corners with three equivalent Co(2)O6 octahedra, corners with three equivalent Co(5)O6 octahedra,  an edgeedge with one Ti(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,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, and edges with two equivalent Li(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-9°. In the fourth Li site, Li(4) is bonded to one O(1), one O(2), one O(3), one O(4), one O(5), and one O(6) atom to form LiO6 octahedra that share corners with three equivalent Co(3)O6 octahedra, corners with three equivalent Co(6)O6 octahedra,  an edgeedge with one Ti(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,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, and edges with two equivalent Li(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-7°. There are two inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to two equivalent O(4), two equivalent O(5), and two equivalent O(7) atoms to form TiO6 octahedra that share corners with six equivalent Li(1)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, edges with two equivalent Co(1)O6 octahedra, edges with two equivalent Co(5)O6 octahedra, and edges with two equivalent Co(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-2°. In the second Ti site, Ti(2) is bonded to two equivalent O(3), two equivalent O(6), and two equivalent O(8) atoms to form TiO6 octahedra that share corners with six equivalent Li(1)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, edges with two equivalent Co(2)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, and edges with two equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-6°. There are six inequivalent Co sites. In the first Co site, Co(1) is bonded to two equivalent O(2), two equivalent O(5), and two equivalent O(7) atoms to form CoO6 octahedra that share corners with six equivalent Li(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, edges with two equivalent Co(5)O6 octahedra, and edges with two equivalent Co(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-9°. In the second Co site, Co(2) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(8) atoms to form CoO6 octahedra that share corners with six equivalent Li(3)O6 octahedra, edges with two equivalent Li(1)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(3)O6 octahedra, and edges with two equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-9°. In the third Co site, Co(3) 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 six equivalent Li(4)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, edges with two equivalent Ti(2)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and edges with two equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-7°. In the fourth Co site, Co(4) is bonded to two equivalent O(1), two equivalent O(6), and two equivalent O(8) atoms to form CoO6 octahedra that share corners with six equivalent Li(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent 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 6-10°. In the fifth Co site, Co(5) is bonded to two equivalent O(2), two equivalent O(4), and two equivalent O(7) atoms to form CoO6 octahedra that share corners with six equivalent Li(3)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(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(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-7°. In the sixth Co site, Co(6) is bonded to two equivalent O(2), two equivalent O(4), and two equivalent O(5) atoms to form CoO6 octahedra that share corners with six equivalent Li(4)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, edges with two equivalent Ti(1)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and edges with two equivalent Co(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-7°. There are eight inequivalent O sites. In the first O site, O(1) is bonded to one Li(2), one Li(3), one Li(4), one Co(2), one Co(3), and one Co(4) atom to form OLi3Co3 octahedra that share corners with three equivalent O(1)Li3Co3 octahedra, corners with three equivalent O(2)Li3Co3 octahedra,  an edgeedge with one O(4)Li3TiCo2 octahedra,  an edgeedge with one O(5)Li3TiCo2 octahedra,  an edgeedge with one O(7)Li3TiCo2 octahedra, edges with three equivalent O(3)Li3TiCo2 octahedra, edges with three equivalent O(6)Li3TiCo2 octahedra, and edges with three equivalent O(8)Li3TiCo2 octahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the second O site, O(2) is bonded to one Li(2), one Li(3), one Li(4), one Co(1), one Co(5), and one Co(6) atom to form OLi3Co3 octahedra that share corners with three equivalent O(1)Li3Co3 octahedra, corners with three equivalent O(2)Li3Co3 octahedra,  an edgeedge with one O(3)Li3TiCo2 octahedra,  an edgeedge with one O(6)Li3TiCo2 octahedra,  an edgeedge with one O(8)Li3TiCo2 octahedra, edges with three equivalent O(4)Li3TiCo2 octahedra, edges with three equivalent O(5)Li3TiCo2 octahedra, and edges with three equivalent O(7)Li3TiCo2 octahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the third O site, O(3) is bonded to one Li(1), one Li(3), one Li(4), one Ti(2), one Co(2), and one Co(3) atom to form OLi3TiCo2 octahedra that share corners with three equivalent O(3)Li3TiCo2 octahedra, corners with three equivalent O(4)Li3TiCo2 octahedra,  an edgeedge with one O(2)Li3Co3 octahedra,  an edgeedge with one O(5)Li3TiCo2 octahedra,  an edgeedge with one O(7)Li3TiCo2 octahedra, edges with three equivalent O(1)Li3Co3 octahedra, edges with three equivalent O(6)Li3TiCo2 octahedra, and edges with three equivalent O(8)Li3TiCo2 octahedra. The corner-sharing octahedral tilt angles range from 0-2°. In the fourth O site, O(4) is bonded to one Li(1), one Li(3), one Li(4), one Ti(1), one Co(5), and one Co(6) atom to form OLi3TiCo2 octahedra that share corners with three equivalent O(3)Li3TiCo2 octahedra, corners with three equivalent O(4)Li3TiCo2 octahedra,  an edgeedge with one O(1)Li3Co3 octahedra,  an edgeedge with one O(6)Li3TiCo2 octahedra,  an edgeedge with one O(8)Li3TiCo2 octahedra, edges with three equivalent O(2)Li3Co3 octahedra, edges with three equivalent O(5)Li3TiCo2 octahedra, and edges with three equivalent O(7)Li3TiCo2 octahedra. The corner-sharing octahedral tilt angles range from 0-2°. In the fifth O site, O(5) is bonded to one Li(1), one Li(2), one Li(4), one Ti(1), one Co(1), and one Co(6) atom to form OLi3TiCo2 octahedra that share corners with three equivalent O(5)Li3TiCo2 octahedra, corners with three equivalent O(6)Li3TiCo2 octahedra,  an edgeedge with one O(1)Li3Co3 octahedra,  an edgeedge with one O(3)Li3TiCo2 octahedra,  an edgeedge with one O(8)Li3TiCo2 octahedra, edges with three equivalent O(2)Li3Co3 octahedra, edges with three equivalent O(4)Li3TiCo2 octahedra, and edges with three equivalent O(7)Li3TiCo2 octahedra. The corner-sharing octahedral tilt angles range from 0-2°. In the sixth O site, O(6) is bonded to one Li(1), one Li(2), one Li(4), one Ti(2), one Co(3), and one Co(4) atom to form OLi3TiCo2 octahedra that share corners with three equivalent O(5)Li3TiCo2 octahedra, corners with three equivalent O(6)Li3TiCo2 octahedra,  an edgeedge with one O(2)Li3Co3 octahedra,  an edgeedge with one O(4)Li3TiCo2 octahedra,  an edgeedge with one O(7)Li3TiCo2 octahedra, edges with three equivalent O(1)Li3Co3 octahedra, edges with three equivalent O(3)Li3TiCo2 octahedra, and edges with three equivalent O(8)Li3TiCo2 octahedra. The corner-sharing octahedral tilt angles range from 0-2°. In the seventh O site, O(7) is bonded to one Li(1), one Li(2), one Li(3), one Ti(1), one Co(1), and one Co(5) atom to form OLi3TiCo2 octahedra that share corners with three equivalent O(7)Li3TiCo2 octahedra, corners with three equivalent O(8)Li3TiCo2 octahedra,  an edgeedge with one O(1)Li3Co3 octahedra,  an edgeedge with one O(3)Li3TiCo2 octahedra,  an edgeedge with one O(6)Li3TiCo2 octahedra, edges with three equivalent O(2)Li3Co3 octahedra, edges with three equivalent O(4)Li3TiCo2 octahedra, and edges with three equivalent O(5)Li3TiCo2 octahedra. The corner-sharing octahedral tilt angles range from 0-2°. In the eighth O site, O(8) is bonded to one Li(1), one Li(2), one Li(3), one Ti(2), one Co(2), and one Co(4) atom to form OLi3TiCo2 octahedra that share corners with three equivalent O(7)Li3TiCo2 octahedra, corners with three equivalent O(8)Li3TiCo2 octahedra,  an edgeedge with one O(2)Li3Co3 octahedra,  an edgeedge with one O(4)Li3TiCo2 octahedra,  an edgeedge with one O(5)Li3TiCo2 octahedra, edges with three equivalent O(1)Li3Co3 octahedra, edges with three equivalent O(3)Li3TiCo2 octahedra, and edges with three equivalent O(6)Li3TiCo2 octahedra. The corner-sharing octahedral tilt angles range from 0-2°. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li4TiCo3O8
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.857
_cell_length_b   5.913
_cell_length_c   5.925
_cell_angle_alpha   119.575
_cell_angle_beta   90.427
_cell_angle_gamma   119.373
_symmetry_Int_Tables_number   1
_cell_volume   146.830
_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
  Co  Co0  1  0.500  1.000  1.000  1.0
  Co  Co1  1  0.500  0.500  1.000  1.0
  Co  Co2  1  1.000  0.500  1.000  1.0
  Li  Li3  1  0.500  0.000  0.500  1.0
  Li  Li4  1  0.000  1.000  0.500  1.0
  Li  Li5  1  0.000  0.500  0.500  1.0
  Li  Li6  1  0.500  0.500  0.500  1.0
  O  O7  1  0.254  0.512  0.786  1.0
  O  O8  1  0.746  0.488  0.214  1.0
  O  O9  1  0.767  0.523  0.770  1.0
  O  O10  1  0.233  0.477  0.230  1.0
  O  O11  1  0.759  0.999  0.764  1.0
  O  O12  1  0.242  0.009  0.768  1.0
  O  O13  1  0.241  0.001  0.236  1.0
  O  O14  1  0.758  0.991  0.232  1.0
  Ti  Ti15  1  0.000  0.000  0.000  1.0
[/CIF]
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