The structure described by Li4TiCo5O12 crystallizes in the triclinic P1 space group. There are eight inequivalent Li sites. In the first Li site, Li(1) is bonded in a distorted rectangular see-saw-like geometry to one O(11), one O(15), one O(21), and one O(23) atom. In the second Li site, Li(2) is bonded in a distorted rectangular see-saw-like geometry to one O(12), one O(16), one O(22), and one O(24) atom. In the third Li site, Li(3) is bonded in a distorted rectangular see-saw-like geometry to one O(13), one O(17), one O(19), and one O(9) atom. In the fourth Li site, Li(4) is bonded in a distorted rectangular see-saw-like geometry to one O(10), one O(14), one O(18), and one O(20) atom. In the fifth Li site, Li(5) is bonded in a distorted rectangular see-saw-like geometry to one O(11), one O(15), one O(21), and one O(23) atom. In the sixth Li site, Li(6) is bonded in a distorted rectangular see-saw-like geometry to one O(12), one O(16), one O(22), and one O(24) atom. In the seventh Li site, Li(7) is bonded in a distorted rectangular see-saw-like geometry to one O(13), one O(17), one O(19), and one O(9) atom. In the eighth Li site, Li(8) is bonded in a distorted rectangular see-saw-like geometry to one O(10), one O(14), one O(18), and one O(20) atom. There are two inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(12), one O(13), one O(16), one O(5), one O(8), and one O(9) atom to form TiO6 octahedra that share edges with three equivalent Co(7)O6 octahedra and edges with three equivalent Co(9)O6 octahedra. In the second Ti site, Ti(2) is bonded to one O(10), one O(11), one O(14), one O(15), one O(6), and one O(7) atom to form TiO6 octahedra that share edges with three equivalent Co(10)O6 octahedra and edges with three equivalent Co(8)O6 octahedra. There are ten inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(1), one O(17), one O(19), one O(21), one O(23), and one O(3) atom to form edge-sharing CoO6 octahedra. In the second Co site, Co(2) is bonded to one O(18), one O(2), one O(20), one O(22), one O(24), and one O(4) atom to form edge-sharing CoO6 octahedra. In the third Co site, Co(3) is bonded to one O(18), one O(2), one O(20), one O(22), one O(24), and one O(4) atom to form edge-sharing CoO6 octahedra. In the fourth Co site, Co(4) is bonded to one O(1), one O(17), one O(19), one O(21), one O(23), and one O(3) atom to form edge-sharing CoO6 octahedra. In the fifth Co site, Co(5) is bonded to one O(18), one O(2), one O(20), one O(22), one O(24), and one O(4) atom to form edge-sharing CoO6 octahedra. In the sixth Co site, Co(6) is bonded to one O(1), one O(17), one O(19), one O(21), one O(23), and one O(3) atom to form edge-sharing CoO6 octahedra. In the seventh Co site, Co(7) is bonded to one O(12), one O(13), one O(16), one O(5), one O(8), and one O(9) atom to form CoO6 octahedra that share edges with three equivalent Ti(1)O6 octahedra and edges with three equivalent Co(9)O6 octahedra. In the eighth Co site, Co(8) is bonded to one O(10), one O(11), one O(14), one O(15), one O(6), and one O(7) atom to form CoO6 octahedra that share edges with three equivalent Ti(2)O6 octahedra and edges with three equivalent Co(10)O6 octahedra. In the ninth Co site, Co(9) is bonded to one O(12), one O(13), one O(16), one O(5), one O(8), and one O(9) atom to form CoO6 octahedra that share edges with three equivalent Ti(1)O6 octahedra and edges with three equivalent Co(7)O6 octahedra. In the tenth Co site, Co(10) is bonded to one O(10), one O(11), one O(14), one O(15), one O(6), and one O(7) atom to form CoO6 octahedra that share edges with three equivalent Ti(2)O6 octahedra and edges with three equivalent Co(8)O6 octahedra. There are twenty-four inequivalent O sites. In the first O site, O(1) is bonded in a distorted trigonal non-coplanar geometry to one Co(1), one Co(4), and one Co(6) atom. In the second O site, O(2) is bonded in a distorted T-shaped geometry to one Co(2), one Co(3), and one Co(5) atom. In the third O site, O(3) is bonded in a distorted trigonal non-coplanar geometry to one Co(1), one Co(4), and one Co(6) atom. In the fourth O site, O(4) is bonded in a distorted T-shaped geometry to one Co(2), one Co(3), and one Co(5) atom. In the fifth O site, O(5) is bonded in a distorted trigonal non-coplanar geometry to one Ti(1), one Co(7), and one Co(9) atom. In the sixth O site, O(6) is bonded in a distorted T-shaped geometry to one Ti(2), one Co(10), and one Co(8) atom. In the seventh O site, O(7) is bonded in a distorted T-shaped geometry to one Ti(2), one Co(10), and one Co(8) atom. In the eighth O site, O(8) is bonded in a distorted T-shaped geometry to one Ti(1), one Co(7), and one Co(9) atom. In the ninth O site, O(9) is bonded to one Li(3), one Li(7), one Ti(1), one Co(7), and one Co(9) atom to form distorted OLi2TiCo2 square pyramids that share  a cornercorner with one O(12)Li2TiCo2 square pyramid,  a cornercorner with one O(13)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(16)Li2TiCo2 trigonal bipyramid, corners with two equivalent O(19)Li2Co3 trigonal bipyramids,  an edgeedge with one O(17)Li2Co3 square pyramid,  an edgeedge with one O(12)Li2TiCo2 square pyramid,  an edgeedge with one O(16)Li2TiCo2 trigonal bipyramid, and edges with two equivalent O(13)Li2TiCo2 trigonal bipyramids. In the tenth O site, O(10) is bonded to one Li(4), one Li(8), one Ti(2), one Co(10), and one Co(8) atom to form distorted OLi2TiCo2 trigonal bipyramids that share  a cornercorner with one O(11)Li2TiCo2 square pyramid,  a cornercorner with one O(15)Li2TiCo2 square pyramid, corners with two equivalent O(20)Li2Co3 square pyramids,  a cornercorner with one O(14)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(18)Li2Co3 square pyramid,  an edgeedge with one O(11)Li2TiCo2 square pyramid,  an edgeedge with one O(15)Li2TiCo2 square pyramid, and edges with two equivalent O(14)Li2TiCo2 trigonal bipyramids. In the eleventh O site, O(11) is bonded to one Li(1), one Li(5), one Ti(2), one Co(10), and one Co(8) atom to form distorted OLi2TiCo2 square pyramids that share  a cornercorner with one O(15)Li2TiCo2 square pyramid, corners with two equivalent O(23)Li2Co3 square pyramids,  a cornercorner with one O(10)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(14)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(21)Li2Co3 square pyramid, edges with two equivalent O(15)Li2TiCo2 square pyramids,  an edgeedge with one O(10)Li2TiCo2 trigonal bipyramid, and  an edgeedge with one O(14)Li2TiCo2 trigonal bipyramid. In the twelfth O site, O(12) is bonded to one Li(2), one Li(6), one Ti(1), one Co(7), and one Co(9) atom to form distorted OLi2TiCo2 square pyramids that share  a cornercorner with one O(9)Li2TiCo2 square pyramid, corners with two equivalent O(24)Li2Co3 square pyramids,  a cornercorner with one O(13)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(16)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(22)Li2Co3 square pyramid,  an edgeedge with one O(9)Li2TiCo2 square pyramid,  an edgeedge with one O(13)Li2TiCo2 trigonal bipyramid, and edges with two equivalent O(16)Li2TiCo2 trigonal bipyramids. In the thirteenth O site, O(13) is bonded to one Li(3), one Li(7), one Ti(1), one Co(7), and one Co(9) atom to form distorted OLi2TiCo2 trigonal bipyramids that share  a cornercorner with one O(12)Li2TiCo2 square pyramid,  a cornercorner with one O(9)Li2TiCo2 square pyramid, corners with two equivalent O(17)Li2Co3 square pyramids,  a cornercorner with one O(16)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(12)Li2TiCo2 square pyramid, edges with two equivalent O(9)Li2TiCo2 square pyramids,  an edgeedge with one O(19)Li2Co3 trigonal bipyramid, and  an edgeedge with one O(16)Li2TiCo2 trigonal bipyramid. In the fourteenth O site, O(14) is bonded to one Li(4), one Li(8), one Ti(2), one Co(10), and one Co(8) atom to form distorted OLi2TiCo2 trigonal bipyramids that share  a cornercorner with one O(11)Li2TiCo2 square pyramid,  a cornercorner with one O(15)Li2TiCo2 square pyramid, corners with two equivalent O(18)Li2Co3 square pyramids,  a cornercorner with one O(10)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(20)Li2Co3 square pyramid,  an edgeedge with one O(11)Li2TiCo2 square pyramid,  an edgeedge with one O(15)Li2TiCo2 square pyramid, and edges with two equivalent O(10)Li2TiCo2 trigonal bipyramids. In the fifteenth O site, O(15) is bonded to one Li(1), one Li(5), one Ti(2), one Co(10), and one Co(8) atom to form distorted OLi2TiCo2 square pyramids that share  a cornercorner with one O(11)Li2TiCo2 square pyramid, corners with two equivalent O(21)Li2Co3 square pyramids,  a cornercorner with one O(10)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(14)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(23)Li2Co3 square pyramid, edges with two equivalent O(11)Li2TiCo2 square pyramids,  an edgeedge with one O(10)Li2TiCo2 trigonal bipyramid, and  an edgeedge with one O(14)Li2TiCo2 trigonal bipyramid. In the sixteenth O site, O(16) is bonded to one Li(2), one Li(6), one Ti(1), one Co(7), and one Co(9) atom to form distorted OLi2TiCo2 trigonal bipyramids that share  a cornercorner with one O(12)Li2TiCo2 square pyramid,  a cornercorner with one O(9)Li2TiCo2 square pyramid, corners with two equivalent O(22)Li2Co3 square pyramids,  a cornercorner with one O(13)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(24)Li2Co3 square pyramid,  an edgeedge with one O(9)Li2TiCo2 square pyramid, edges with two equivalent O(12)Li2TiCo2 square pyramids, and  an edgeedge with one O(13)Li2TiCo2 trigonal bipyramid. In the seventeenth O site, O(17) is bonded to one Li(3), one Li(7), one Co(1), one Co(4), and one Co(6) atom to form distorted OLi2Co3 square pyramids that share  a cornercorner with one O(21)Li2Co3 square pyramid,  a cornercorner with one O(23)Li2Co3 square pyramid,  a cornercorner with one O(19)Li2Co3 trigonal bipyramid, corners with two equivalent O(13)Li2TiCo2 trigonal bipyramids,  an edgeedge with one O(21)Li2Co3 square pyramid,  an edgeedge with one O(23)Li2Co3 square pyramid,  an edgeedge with one O(9)Li2TiCo2 square pyramid, and edges with two equivalent O(19)Li2Co3 trigonal bipyramids. In the eighteenth O site, O(18) is bonded to one Li(4), one Li(8), one Co(2), one Co(3), and one Co(5) atom to form distorted OLi2Co3 square pyramids that share  a cornercorner with one O(20)Li2Co3 square pyramid,  a cornercorner with one O(22)Li2Co3 square pyramid,  a cornercorner with one O(24)Li2Co3 square pyramid, corners with two equivalent O(14)Li2TiCo2 trigonal bipyramids,  an edgeedge with one O(22)Li2Co3 square pyramid,  an edgeedge with one O(24)Li2Co3 square pyramid, edges with two equivalent O(20)Li2Co3 square pyramids, and  an edgeedge with one O(10)Li2TiCo2 trigonal bipyramid. In the nineteenth O site, O(19) is bonded to one Li(3), one Li(7), one Co(1), one Co(4), and one Co(6) atom to form distorted OLi2Co3 trigonal bipyramids that share  a cornercorner with one O(17)Li2Co3 square pyramid,  a cornercorner with one O(21)Li2Co3 square pyramid,  a cornercorner with one O(23)Li2Co3 square pyramid, corners with two equivalent O(9)Li2TiCo2 square pyramids,  an edgeedge with one O(21)Li2Co3 square pyramid,  an edgeedge with one O(23)Li2Co3 square pyramid, edges with two equivalent O(17)Li2Co3 square pyramids, and  an edgeedge with one O(13)Li2TiCo2 trigonal bipyramid. In the twentieth O site, O(20) is bonded to one Li(4), one Li(8), one Co(2), one Co(3), and one Co(5) atom to form distorted OLi2Co3 square pyramids that share  a cornercorner with one O(18)Li2Co3 square pyramid,  a cornercorner with one O(22)Li2Co3 square pyramid,  a cornercorner with one O(24)Li2Co3 square pyramid, corners with two equivalent O(10)Li2TiCo2 trigonal bipyramids,  an edgeedge with one O(22)Li2Co3 square pyramid,  an edgeedge with one O(24)Li2Co3 square pyramid, edges with two equivalent O(18)Li2Co3 square pyramids, and  an edgeedge with one O(14)Li2TiCo2 trigonal bipyramid. In the twenty-first O site, O(21) is bonded to one Li(1), one Li(5), one Co(1), one Co(4), and one Co(6) atom to form distorted OLi2Co3 square pyramids that share  a cornercorner with one O(17)Li2Co3 square pyramid,  a cornercorner with one O(23)Li2Co3 square pyramid, corners with two equivalent O(15)Li2TiCo2 square pyramids,  a cornercorner with one O(19)Li2Co3 trigonal bipyramid,  an edgeedge with one O(17)Li2Co3 square pyramid,  an edgeedge with one O(11)Li2TiCo2 square pyramid, edges with two equivalent O(23)Li2Co3 square pyramids, and  an edgeedge with one O(19)Li2Co3 trigonal bipyramid. In the twenty-second O site, O(22) is bonded to one Li(2), one Li(6), one Co(2), one Co(3), and one Co(5) atom to form distorted OLi2Co3 square pyramids that share  a cornercorner with one O(18)Li2Co3 square pyramid,  a cornercorner with one O(20)Li2Co3 square pyramid,  a cornercorner with one O(24)Li2Co3 square pyramid, corners with two equivalent O(16)Li2TiCo2 trigonal bipyramids,  an edgeedge with one O(18)Li2Co3 square pyramid,  an edgeedge with one O(20)Li2Co3 square pyramid,  an edgeedge with one O(12)Li2TiCo2 square pyramid, and edges with two equivalent O(24)Li2Co3 square pyramids. In the twenty-third O site, O(23) is bonded to one Li(1), one Li(5), one Co(1), one Co(4), and one Co(6) atom to form distorted OLi2Co3 square pyramids that share  a cornercorner with one O(17)Li2Co3 square pyramid,  a cornercorner with one O(21)Li2Co3 square pyramid, corners with two equivalent O(11)Li2TiCo2 square pyramids,  a cornercorner with one O(19)Li2Co3 trigonal bipyramid,  an edgeedge with one O(17)Li2Co3 square pyramid,  an edgeedge with one O(15)Li2TiCo2 square pyramid, edges with two equivalent O(21)Li2Co3 square pyramids, and  an edgeedge with one O(19)Li2Co3 trigonal bipyramid. In the twenty-fourth O site, O(24) is bonded to one Li(2), one Li(6), one Co(2), one Co(3), and one Co(5) atom to form distorted OLi2Co3 square pyramids that share  a cornercorner with one O(18)Li2Co3 square pyramid,  a cornercorner with one O(20)Li2Co3 square pyramid,  a cornercorner with one O(22)Li2Co3 square pyramid, corners with two equivalent O(12)Li2TiCo2 square pyramids,  an edgeedge with one O(18)Li2Co3 square pyramid,  an edgeedge with one O(20)Li2Co3 square pyramid, edges with two equivalent O(22)Li2Co3 square pyramids, and  an edgeedge with one O(16)Li2TiCo2 trigonal bipyramid. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li4TiCo5O12
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.000
_cell_length_b   5.015
_cell_length_c   10.081
_cell_angle_alpha   90.265
_cell_angle_beta   90.509
_cell_angle_gamma   118.390
_symmetry_Int_Tables_number   1
_cell_volume   222.353
_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  0.500  0.500  1.0
  Co  Co1  1  0.836  0.164  0.500  1.0
  Co  Co2  1  0.164  0.836  0.500  1.0
  Co  Co3  1  0.334  0.666  0.001  1.0
  Co  Co4  1  0.664  0.336  0.999  1.0
  Li  Li5  1  0.635  0.137  0.253  1.0
  Li  Li6  1  0.863  0.365  0.747  1.0
  Li  Li7  1  0.141  0.631  0.254  1.0
  Li  Li8  1  0.368  0.858  0.746  1.0
  O  O9  1  0.178  0.179  0.405  1.0
  O  O10  1  0.822  0.821  0.595  1.0
  O  O11  1  0.335  0.339  0.904  1.0
  O  O12  1  0.663  0.671  0.098  1.0
  O  O13  1  0.691  0.029  0.886  1.0
  O  O14  1  0.967  0.311  0.112  1.0
  O  O15  1  0.030  0.685  0.890  1.0
  O  O16  1  0.315  0.971  0.109  1.0
  O  O17  1  0.512  0.181  0.602  1.0
  O  O18  1  0.181  0.512  0.602  1.0
  O  O19  1  0.819  0.488  0.398  1.0
  O  O20  1  0.488  0.819  0.398  1.0
  Ti  Ti21  1  0.994  1.000  0.000  1.0
[/CIF]
.
The structure described by Li4TiCo5O12 crystallizes in the triclinic P1 space group. There are eight inequivalent Li sites. In the first Li site, Li(1) is bonded in a distorted rectangular see-saw-like geometry to one O(11), one O(15), one O(21), and one O(23) atom. In the second Li site, Li(2) is bonded in a distorted rectangular see-saw-like geometry to one O(12), one O(16), one O(22), and one O(24) atom. In the third Li site, Li(3) is bonded in a distorted rectangular see-saw-like geometry to one O(13), one O(17), one O(19), and one O(9) atom. In the fourth Li site, Li(4) is bonded in a distorted rectangular see-saw-like geometry to one O(10), one O(14), one O(18), and one O(20) atom. In the fifth Li site, Li(5) is bonded in a distorted rectangular see-saw-like geometry to one O(11), one O(15), one O(21), and one O(23) atom. In the sixth Li site, Li(6) is bonded in a distorted rectangular see-saw-like geometry to one O(12), one O(16), one O(22), and one O(24) atom. In the seventh Li site, Li(7) is bonded in a distorted rectangular see-saw-like geometry to one O(13), one O(17), one O(19), and one O(9) atom. In the eighth Li site, Li(8) is bonded in a distorted rectangular see-saw-like geometry to one O(10), one O(14), one O(18), and one O(20) atom. There are two inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(12), one O(13), one O(16), one O(5), one O(8), and one O(9) atom to form TiO6 octahedra that share edges with three equivalent Co(7)O6 octahedra and edges with three equivalent Co(9)O6 octahedra. In the second Ti site, Ti(2) is bonded to one O(10), one O(11), one O(14), one O(15), one O(6), and one O(7) atom to form TiO6 octahedra that share edges with three equivalent Co(10)O6 octahedra and edges with three equivalent Co(8)O6 octahedra. There are ten inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(1), one O(17), one O(19), one O(21), one O(23), and one O(3) atom to form edge-sharing CoO6 octahedra. In the second Co site, Co(2) is bonded to one O(18), one O(2), one O(20), one O(22), one O(24), and one O(4) atom to form edge-sharing CoO6 octahedra. In the third Co site, Co(3) is bonded to one O(18), one O(2), one O(20), one O(22), one O(24), and one O(4) atom to form edge-sharing CoO6 octahedra. In the fourth Co site, Co(4) is bonded to one O(1), one O(17), one O(19), one O(21), one O(23), and one O(3) atom to form edge-sharing CoO6 octahedra. In the fifth Co site, Co(5) is bonded to one O(18), one O(2), one O(20), one O(22), one O(24), and one O(4) atom to form edge-sharing CoO6 octahedra. In the sixth Co site, Co(6) is bonded to one O(1), one O(17), one O(19), one O(21), one O(23), and one O(3) atom to form edge-sharing CoO6 octahedra. In the seventh Co site, Co(7) is bonded to one O(12), one O(13), one O(16), one O(5), one O(8), and one O(9) atom to form CoO6 octahedra that share edges with three equivalent Ti(1)O6 octahedra and edges with three equivalent Co(9)O6 octahedra. In the eighth Co site, Co(8) is bonded to one O(10), one O(11), one O(14), one O(15), one O(6), and one O(7) atom to form CoO6 octahedra that share edges with three equivalent Ti(2)O6 octahedra and edges with three equivalent Co(10)O6 octahedra. In the ninth Co site, Co(9) is bonded to one O(12), one O(13), one O(16), one O(5), one O(8), and one O(9) atom to form CoO6 octahedra that share edges with three equivalent Ti(1)O6 octahedra and edges with three equivalent Co(7)O6 octahedra. In the tenth Co site, Co(10) is bonded to one O(10), one O(11), one O(14), one O(15), one O(6), and one O(7) atom to form CoO6 octahedra that share edges with three equivalent Ti(2)O6 octahedra and edges with three equivalent Co(8)O6 octahedra. There are twenty-four inequivalent O sites. In the first O site, O(1) is bonded in a distorted trigonal non-coplanar geometry to one Co(1), one Co(4), and one Co(6) atom. In the second O site, O(2) is bonded in a distorted T-shaped geometry to one Co(2), one Co(3), and one Co(5) atom. In the third O site, O(3) is bonded in a distorted trigonal non-coplanar geometry to one Co(1), one Co(4), and one Co(6) atom. In the fourth O site, O(4) is bonded in a distorted T-shaped geometry to one Co(2), one Co(3), and one Co(5) atom. In the fifth O site, O(5) is bonded in a distorted trigonal non-coplanar geometry to one Ti(1), one Co(7), and one Co(9) atom. In the sixth O site, O(6) is bonded in a distorted T-shaped geometry to one Ti(2), one Co(10), and one Co(8) atom. In the seventh O site, O(7) is bonded in a distorted T-shaped geometry to one Ti(2), one Co(10), and one Co(8) atom. In the eighth O site, O(8) is bonded in a distorted T-shaped geometry to one Ti(1), one Co(7), and one Co(9) atom. In the ninth O site, O(9) is bonded to one Li(3), one Li(7), one Ti(1), one Co(7), and one Co(9) atom to form distorted OLi2TiCo2 square pyramids that share  a cornercorner with one O(12)Li2TiCo2 square pyramid,  a cornercorner with one O(13)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(16)Li2TiCo2 trigonal bipyramid, corners with two equivalent O(19)Li2Co3 trigonal bipyramids,  an edgeedge with one O(17)Li2Co3 square pyramid,  an edgeedge with one O(12)Li2TiCo2 square pyramid,  an edgeedge with one O(16)Li2TiCo2 trigonal bipyramid, and edges with two equivalent O(13)Li2TiCo2 trigonal bipyramids. In the tenth O site, O(10) is bonded to one Li(4), one Li(8), one Ti(2), one Co(10), and one Co(8) atom to form distorted OLi2TiCo2 trigonal bipyramids that share  a cornercorner with one O(11)Li2TiCo2 square pyramid,  a cornercorner with one O(15)Li2TiCo2 square pyramid, corners with two equivalent O(20)Li2Co3 square pyramids,  a cornercorner with one O(14)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(18)Li2Co3 square pyramid,  an edgeedge with one O(11)Li2TiCo2 square pyramid,  an edgeedge with one O(15)Li2TiCo2 square pyramid, and edges with two equivalent O(14)Li2TiCo2 trigonal bipyramids. In the eleventh O site, O(11) is bonded to one Li(1), one Li(5), one Ti(2), one Co(10), and one Co(8) atom to form distorted OLi2TiCo2 square pyramids that share  a cornercorner with one O(15)Li2TiCo2 square pyramid, corners with two equivalent O(23)Li2Co3 square pyramids,  a cornercorner with one O(10)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(14)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(21)Li2Co3 square pyramid, edges with two equivalent O(15)Li2TiCo2 square pyramids,  an edgeedge with one O(10)Li2TiCo2 trigonal bipyramid, and  an edgeedge with one O(14)Li2TiCo2 trigonal bipyramid. In the twelfth O site, O(12) is bonded to one Li(2), one Li(6), one Ti(1), one Co(7), and one Co(9) atom to form distorted OLi2TiCo2 square pyramids that share  a cornercorner with one O(9)Li2TiCo2 square pyramid, corners with two equivalent O(24)Li2Co3 square pyramids,  a cornercorner with one O(13)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(16)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(22)Li2Co3 square pyramid,  an edgeedge with one O(9)Li2TiCo2 square pyramid,  an edgeedge with one O(13)Li2TiCo2 trigonal bipyramid, and edges with two equivalent O(16)Li2TiCo2 trigonal bipyramids. In the thirteenth O site, O(13) is bonded to one Li(3), one Li(7), one Ti(1), one Co(7), and one Co(9) atom to form distorted OLi2TiCo2 trigonal bipyramids that share  a cornercorner with one O(12)Li2TiCo2 square pyramid,  a cornercorner with one O(9)Li2TiCo2 square pyramid, corners with two equivalent O(17)Li2Co3 square pyramids,  a cornercorner with one O(16)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(12)Li2TiCo2 square pyramid, edges with two equivalent O(9)Li2TiCo2 square pyramids,  an edgeedge with one O(19)Li2Co3 trigonal bipyramid, and  an edgeedge with one O(16)Li2TiCo2 trigonal bipyramid. In the fourteenth O site, O(14) is bonded to one Li(4), one Li(8), one Ti(2), one Co(10), and one Co(8) atom to form distorted OLi2TiCo2 trigonal bipyramids that share  a cornercorner with one O(11)Li2TiCo2 square pyramid,  a cornercorner with one O(15)Li2TiCo2 square pyramid, corners with two equivalent O(18)Li2Co3 square pyramids,  a cornercorner with one O(10)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(20)Li2Co3 square pyramid,  an edgeedge with one O(11)Li2TiCo2 square pyramid,  an edgeedge with one O(15)Li2TiCo2 square pyramid, and edges with two equivalent O(10)Li2TiCo2 trigonal bipyramids. In the fifteenth O site, O(15) is bonded to one Li(1), one Li(5), one Ti(2), one Co(10), and one Co(8) atom to form distorted OLi2TiCo2 square pyramids that share  a cornercorner with one O(11)Li2TiCo2 square pyramid, corners with two equivalent O(21)Li2Co3 square pyramids,  a cornercorner with one O(10)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(14)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(23)Li2Co3 square pyramid, edges with two equivalent O(11)Li2TiCo2 square pyramids,  an edgeedge with one O(10)Li2TiCo2 trigonal bipyramid, and  an edgeedge with one O(14)Li2TiCo2 trigonal bipyramid. In the sixteenth O site, O(16) is bonded to one Li(2), one Li(6), one Ti(1), one Co(7), and one Co(9) atom to form distorted OLi2TiCo2 trigonal bipyramids that share  a cornercorner with one O(12)Li2TiCo2 square pyramid,  a cornercorner with one O(9)Li2TiCo2 square pyramid, corners with two equivalent O(22)Li2Co3 square pyramids,  a cornercorner with one O(13)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(24)Li2Co3 square pyramid,  an edgeedge with one O(9)Li2TiCo2 square pyramid, edges with two equivalent O(12)Li2TiCo2 square pyramids, and  an edgeedge with one O(13)Li2TiCo2 trigonal bipyramid. In the seventeenth O site, O(17) is bonded to one Li(3), one Li(7), one Co(1), one Co(4), and one Co(6) atom to form distorted OLi2Co3 square pyramids that share  a cornercorner with one O(21)Li2Co3 square pyramid,  a cornercorner with one O(23)Li2Co3 square pyramid,  a cornercorner with one O(19)Li2Co3 trigonal bipyramid, corners with two equivalent O(13)Li2TiCo2 trigonal bipyramids,  an edgeedge with one O(21)Li2Co3 square pyramid,  an edgeedge with one O(23)Li2Co3 square pyramid,  an edgeedge with one O(9)Li2TiCo2 square pyramid, and edges with two equivalent O(19)Li2Co3 trigonal bipyramids. In the eighteenth O site, O(18) is bonded to one Li(4), one Li(8), one Co(2), one Co(3), and one Co(5) atom to form distorted OLi2Co3 square pyramids that share  a cornercorner with one O(20)Li2Co3 square pyramid,  a cornercorner with one O(22)Li2Co3 square pyramid,  a cornercorner with one O(24)Li2Co3 square pyramid, corners with two equivalent O(14)Li2TiCo2 trigonal bipyramids,  an edgeedge with one O(22)Li2Co3 square pyramid,  an edgeedge with one O(24)Li2Co3 square pyramid, edges with two equivalent O(20)Li2Co3 square pyramids, and  an edgeedge with one O(10)Li2TiCo2 trigonal bipyramid. In the nineteenth O site, O(19) is bonded to one Li(3), one Li(7), one Co(1), one Co(4), and one Co(6) atom to form distorted OLi2Co3 trigonal bipyramids that share  a cornercorner with one O(17)Li2Co3 square pyramid,  a cornercorner with one O(21)Li2Co3 square pyramid,  a cornercorner with one O(23)Li2Co3 square pyramid, corners with two equivalent O(9)Li2TiCo2 square pyramids,  an edgeedge with one O(21)Li2Co3 square pyramid,  an edgeedge with one O(23)Li2Co3 square pyramid, edges with two equivalent O(17)Li2Co3 square pyramids, and  an edgeedge with one O(13)Li2TiCo2 trigonal bipyramid. In the twentieth O site, O(20) is bonded to one Li(4), one Li(8), one Co(2), one Co(3), and one Co(5) atom to form distorted OLi2Co3 square pyramids that share  a cornercorner with one O(18)Li2Co3 square pyramid,  a cornercorner with one O(22)Li2Co3 square pyramid,  a cornercorner with one O(24)Li2Co3 square pyramid, corners with two equivalent O(10)Li2TiCo2 trigonal bipyramids,  an edgeedge with one O(22)Li2Co3 square pyramid,  an edgeedge with one O(24)Li2Co3 square pyramid, edges with two equivalent O(18)Li2Co3 square pyramids, and  an edgeedge with one O(14)Li2TiCo2 trigonal bipyramid. In the twenty-first O site, O(21) is bonded to one Li(1), one Li(5), one Co(1), one Co(4), and one Co(6) atom to form distorted OLi2Co3 square pyramids that share  a cornercorner with one O(17)Li2Co3 square pyramid,  a cornercorner with one O(23)Li2Co3 square pyramid, corners with two equivalent O(15)Li2TiCo2 square pyramids,  a cornercorner with one O(19)Li2Co3 trigonal bipyramid,  an edgeedge with one O(17)Li2Co3 square pyramid,  an edgeedge with one O(11)Li2TiCo2 square pyramid, edges with two equivalent O(23)Li2Co3 square pyramids, and  an edgeedge with one O(19)Li2Co3 trigonal bipyramid. In the twenty-second O site, O(22) is bonded to one Li(2), one Li(6), one Co(2), one Co(3), and one Co(5) atom to form distorted OLi2Co3 square pyramids that share  a cornercorner with one O(18)Li2Co3 square pyramid,  a cornercorner with one O(20)Li2Co3 square pyramid,  a cornercorner with one O(24)Li2Co3 square pyramid, corners with two equivalent O(16)Li2TiCo2 trigonal bipyramids,  an edgeedge with one O(18)Li2Co3 square pyramid,  an edgeedge with one O(20)Li2Co3 square pyramid,  an edgeedge with one O(12)Li2TiCo2 square pyramid, and edges with two equivalent O(24)Li2Co3 square pyramids. In the twenty-third O site, O(23) is bonded to one Li(1), one Li(5), one Co(1), one Co(4), and one Co(6) atom to form distorted OLi2Co3 square pyramids that share  a cornercorner with one O(17)Li2Co3 square pyramid,  a cornercorner with one O(21)Li2Co3 square pyramid, corners with two equivalent O(11)Li2TiCo2 square pyramids,  a cornercorner with one O(19)Li2Co3 trigonal bipyramid,  an edgeedge with one O(17)Li2Co3 square pyramid,  an edgeedge with one O(15)Li2TiCo2 square pyramid, edges with two equivalent O(21)Li2Co3 square pyramids, and  an edgeedge with one O(19)Li2Co3 trigonal bipyramid. In the twenty-fourth O site, O(24) is bonded to one Li(2), one Li(6), one Co(2), one Co(3), and one Co(5) atom to form distorted OLi2Co3 square pyramids that share  a cornercorner with one O(18)Li2Co3 square pyramid,  a cornercorner with one O(20)Li2Co3 square pyramid,  a cornercorner with one O(22)Li2Co3 square pyramid, corners with two equivalent O(12)Li2TiCo2 square pyramids,  an edgeedge with one O(18)Li2Co3 square pyramid,  an edgeedge with one O(20)Li2Co3 square pyramid, edges with two equivalent O(22)Li2Co3 square pyramids, and  an edgeedge with one O(16)Li2TiCo2 trigonal bipyramid. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li4TiCo5O12
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.000
_cell_length_b   5.015
_cell_length_c   10.081
_cell_angle_alpha   90.265
_cell_angle_beta   90.509
_cell_angle_gamma   118.390
_symmetry_Int_Tables_number   1
_cell_volume   222.353
_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  0.500  0.500  1.0
  Co  Co1  1  0.836  0.164  0.500  1.0
  Co  Co2  1  0.164  0.836  0.500  1.0
  Co  Co3  1  0.334  0.666  0.001  1.0
  Co  Co4  1  0.664  0.336  0.999  1.0
  Li  Li5  1  0.635  0.137  0.253  1.0
  Li  Li6  1  0.863  0.365  0.747  1.0
  Li  Li7  1  0.141  0.631  0.254  1.0
  Li  Li8  1  0.368  0.858  0.746  1.0
  O  O9  1  0.178  0.179  0.405  1.0
  O  O10  1  0.822  0.821  0.595  1.0
  O  O11  1  0.335  0.339  0.904  1.0
  O  O12  1  0.663  0.671  0.098  1.0
  O  O13  1  0.691  0.029  0.886  1.0
  O  O14  1  0.967  0.311  0.112  1.0
  O  O15  1  0.030  0.685  0.890  1.0
  O  O16  1  0.315  0.971  0.109  1.0
  O  O17  1  0.512  0.181  0.602  1.0
  O  O18  1  0.181  0.512  0.602  1.0
  O  O19  1  0.819  0.488  0.398  1.0
  O  O20  1  0.488  0.819  0.398  1.0
  Ti  Ti21  1  0.994  1.000  0.000  1.0
[/CIF]
.