The material structure described by Li4Ti3Co3(NiO8)2 is Spinel-derived structured and crystallizes in the triclinic P1 space group. There are four inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(11), one O(12), one O(15), and one O(3) atom to form LiO4 tetrahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra, corners with two equivalent Ti(3)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with two equivalent Co(3)O6 octahedra, and corners with three equivalent Ni(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-66°. In the second Li site, Li(2) is bonded in a rectangular see-saw-like geometry to one O(14), one O(16), one O(5), and one O(9) atom. In the third Li site, Li(3) is bonded in a rectangular see-saw-like geometry to one O(1), one O(10), one O(4), and one O(6) atom. In the fourth Li site, Li(4) is bonded to one O(13), one O(2), one O(7), and one O(8) atom to form LiO4 tetrahedra that share  a cornercorner with one Ti(3)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, corners with two equivalent Ti(2)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, and corners with three equivalent Ni(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-66°. There are three inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(14), one O(2), one O(3), one O(4), one O(7), and one O(9) atom to form TiO6 octahedra that share corners with two equivalent Ni(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Ni(1)O6 octahedra, edges with two equivalent Ti(2)O6 octahedra, and edges with two equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-55°. In the second Ti site, Ti(2) is bonded to one O(16), one O(2), one O(3), one O(4), one O(8), and one O(9) atom to form TiO6 octahedra that share corners with two equivalent Ni(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Ni(1)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, and edges with two equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-54°. In the third Ti site, Ti(3) is bonded to one O(1), one O(11), one O(12), one O(13), one O(5), and one O(6) atom to form TiO6 octahedra that share corners with two equivalent Ni(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Ni(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 are 54°. There are three inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(14), one O(16), one O(3), one O(4), one O(7), and one O(8) atom to form CoO6 octahedra that share corners with two equivalent Ni(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Ni(1)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 48-49°. In the second Co site, Co(2) is bonded to one O(1), one O(10), one O(11), one O(13), one O(15), and one O(5) atom to form CoO6 octahedra that share corners with two equivalent Ni(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Ni(2)O6 octahedra, edges with two equivalent Ti(3)O6 octahedra, and edges with two equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles are 52°. In the third Co site, Co(3) is bonded to one O(10), one O(12), one O(13), one O(15), one O(5), and one O(6) atom to form CoO6 octahedra that share corners with two equivalent Ni(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Ni(2)O6 octahedra, edges with two equivalent Ti(3)O6 octahedra, and edges with two equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-52°. There are two inequivalent Ni sites. In the first Ni site, Ni(1) is bonded to one O(1), one O(10), one O(2), one O(6), one O(7), and one O(8) atom to form NiO6 octahedra that share corners with two equivalent Ti(3)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with two equivalent Co(3)O6 octahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra, and  an edgeedge with one Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-54°. In the second Ni site, Ni(2) is bonded to one O(11), one O(12), one O(14), one O(15), one O(16), and one O(9) atom to form NiO6 octahedra that share corners with two equivalent Ti(1)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, and  an edgeedge with one Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-55°. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to one Li(3), one Ti(3), one Co(2), and one Ni(1) atom. In the second O site, O(2) is bonded to one Li(4), one Ti(1), one Ti(2), and one Ni(1) atom to form distorted OLiTi2Ni tetrahedra that share  a cornercorner with one O(7)LiTiCoNi tetrahedra,  a cornercorner with one O(8)LiTiCoNi tetrahedra, corners with two equivalent O(4)LiTi2Co tetrahedra,  a cornercorner with one O(10)LiCo2Ni trigonal pyramid,  an edgeedge with one O(7)LiTiCoNi tetrahedra, and  an edgeedge with one O(8)LiTiCoNi tetrahedra. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(1), one Ti(1), one Ti(2), and one Co(1) atom. In the fourth O site, O(4) is bonded to one Li(3), one Ti(1), one Ti(2), and one Co(1) atom to form distorted OLiTi2Co tetrahedra that share corners with two equivalent O(2)LiTi2Ni tetrahedra, corners with two equivalent O(7)LiTiCoNi tetrahedra, corners with two equivalent O(8)LiTiCoNi tetrahedra, and  a cornercorner with one O(10)LiCo2Ni trigonal pyramid. In the fifth O site, O(5) is bonded to one Li(2), one Ti(3), one Co(2), and one Co(3) atom to form distorted OLiTiCo2 tetrahedra that share corners with two equivalent O(15)LiCo2Ni tetrahedra, corners with two equivalent O(11)LiTiCoNi tetrahedra, corners with two equivalent O(12)LiTiCoNi tetrahedra, and  an edgeedge with one O(10)LiCo2Ni trigonal pyramid. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to one Li(3), one Ti(3), one Co(3), and one Ni(1) atom. In the seventh O site, O(7) is bonded to one Li(4), one Ti(1), one Co(1), and one Ni(1) atom to form distorted OLiTiCoNi tetrahedra that share  a cornercorner with one O(2)LiTi2Ni tetrahedra,  a cornercorner with one O(8)LiTiCoNi tetrahedra, corners with two equivalent O(4)LiTi2Co tetrahedra,  a cornercorner with one O(10)LiCo2Ni trigonal pyramid,  an edgeedge with one O(2)LiTi2Ni tetrahedra, and  an edgeedge with one O(8)LiTiCoNi tetrahedra. In the eighth O site, O(8) is bonded to one Li(4), one Ti(2), one Co(1), and one Ni(1) atom to form distorted OLiTiCoNi tetrahedra that share  a cornercorner with one O(2)LiTi2Ni tetrahedra,  a cornercorner with one O(7)LiTiCoNi tetrahedra, corners with two equivalent O(4)LiTi2Co tetrahedra,  a cornercorner with one O(10)LiCo2Ni trigonal pyramid,  an edgeedge with one O(2)LiTi2Ni tetrahedra, and  an edgeedge with one O(7)LiTiCoNi tetrahedra. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Li(2), one Ti(1), one Ti(2), and one Ni(2) atom. In the tenth O site, O(10) is bonded to one Li(3), one Co(2), one Co(3), and one Ni(1) atom to form distorted OLiCo2Ni trigonal pyramids that share  a cornercorner with one O(4)LiTi2Co tetrahedra,  a cornercorner with one O(2)LiTi2Ni tetrahedra,  a cornercorner with one O(11)LiTiCoNi tetrahedra,  a cornercorner with one O(12)LiTiCoNi tetrahedra,  a cornercorner with one O(7)LiTiCoNi tetrahedra,  a cornercorner with one O(8)LiTiCoNi tetrahedra, corners with two equivalent O(15)LiCo2Ni tetrahedra, and  an edgeedge with one O(5)LiTiCo2 tetrahedra. In the eleventh O site, O(11) is bonded to one Li(1), one Ti(3), one Co(2), and one Ni(2) atom to form distorted OLiTiCoNi tetrahedra that share  a cornercorner with one O(15)LiCo2Ni tetrahedra,  a cornercorner with one O(12)LiTiCoNi tetrahedra, corners with two equivalent O(5)LiTiCo2 tetrahedra,  a cornercorner with one O(10)LiCo2Ni trigonal pyramid,  an edgeedge with one O(15)LiCo2Ni tetrahedra, and  an edgeedge with one O(12)LiTiCoNi tetrahedra. In the twelfth O site, O(12) is bonded to one Li(1), one Ti(3), one Co(3), and one Ni(2) atom to form distorted OLiTiCoNi tetrahedra that share  a cornercorner with one O(15)LiCo2Ni tetrahedra,  a cornercorner with one O(11)LiTiCoNi tetrahedra, corners with two equivalent O(5)LiTiCo2 tetrahedra,  a cornercorner with one O(10)LiCo2Ni trigonal pyramid,  an edgeedge with one O(15)LiCo2Ni tetrahedra, and  an edgeedge with one O(11)LiTiCoNi tetrahedra. In the thirteenth O site, O(13) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), one Ti(3), one Co(2), and one Co(3) atom. In the fourteenth O site, O(14) is bonded in a rectangular see-saw-like geometry to one Li(2), one Ti(1), one Co(1), and one Ni(2) atom. In the fifteenth O site, O(15) is bonded to one Li(1), one Co(2), one Co(3), and one Ni(2) atom to form distorted OLiCo2Ni tetrahedra that share  a cornercorner with one O(11)LiTiCoNi tetrahedra,  a cornercorner with one O(12)LiTiCoNi tetrahedra, corners with two equivalent O(5)LiTiCo2 tetrahedra, corners with two equivalent O(10)LiCo2Ni trigonal pyramids,  an edgeedge with one O(11)LiTiCoNi tetrahedra, and  an edgeedge with one O(12)LiTiCoNi tetrahedra. In the sixteenth O site, O(16) is bonded in a rectangular see-saw-like geometry to one Li(2), one Ti(2), one Co(1), and one Ni(2) atom. is represented by the CIF card [CIF]
data_Li4Ti3Co3(NiO8)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.764
_cell_length_b   5.812
_cell_length_c   9.645
_cell_angle_alpha   89.919
_cell_angle_beta   90.206
_cell_angle_gamma   120.264
_symmetry_Int_Tables_number   1
_cell_volume   279.078
_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  0.348  0.673  0.890  1.0
  Li  Li1  1  0.972  0.987  0.996  1.0
  Li  Li2  1  0.978  0.989  0.499  1.0
  Li  Li3  1  0.681  0.340  0.397  1.0
  Ti  Ti4  1  0.174  0.834  0.215  1.0
  Ti  Ti5  1  0.178  0.340  0.215  1.0
  Ti  Ti6  1  0.344  0.173  0.715  1.0
  Co  Co7  1  0.661  0.831  0.213  1.0
  Co  Co8  1  0.834  0.664  0.714  1.0
  Co  Co9  1  0.833  0.169  0.714  1.0
  Ni  Ni10  1  0.330  0.665  0.491  1.0
  Ni  Ni11  1  0.665  0.332  0.987  1.0
  O  O12  1  0.152  0.836  0.606  1.0
  O  O13  1  0.039  0.519  0.332  1.0
  O  O14  1  0.331  0.666  0.100  1.0
  O  O15  1  0.992  0.996  0.314  1.0
  O  O16  1  0.993  0.996  0.811  1.0
  O  O17  1  0.151  0.317  0.606  1.0
  O  O18  1  0.495  0.969  0.333  1.0
  O  O19  1  0.495  0.525  0.333  1.0
  O  O20  1  0.318  0.159  0.102  1.0
  O  O21  1  0.677  0.839  0.616  1.0
  O  O22  1  0.529  0.491  0.832  1.0
  O  O23  1  0.530  0.038  0.832  1.0
  O  O24  1  0.675  0.338  0.605  1.0
  O  O25  1  0.827  0.677  0.109  1.0
  O  O26  1  0.969  0.484  0.822  1.0
  O  O27  1  0.827  0.151  0.109  1.0
[/CIF]
.
The material structure described by Li4Ti3Co3(NiO8)2 is Spinel-derived structured and crystallizes in the triclinic P1 space group. There are four inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(11), one O(12), one O(15), and one O(3) atom to form LiO4 tetrahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra, corners with two equivalent Ti(3)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with two equivalent Co(3)O6 octahedra, and corners with three equivalent Ni(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-66°. In the second Li site, Li(2) is bonded in a rectangular see-saw-like geometry to one O(14), one O(16), one O(5), and one O(9) atom. In the third Li site, Li(3) is bonded in a rectangular see-saw-like geometry to one O(1), one O(10), one O(4), and one O(6) atom. In the fourth Li site, Li(4) is bonded to one O(13), one O(2), one O(7), and one O(8) atom to form LiO4 tetrahedra that share  a cornercorner with one Ti(3)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, corners with two equivalent Ti(2)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, and corners with three equivalent Ni(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-66°. There are three inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(14), one O(2), one O(3), one O(4), one O(7), and one O(9) atom to form TiO6 octahedra that share corners with two equivalent Ni(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Ni(1)O6 octahedra, edges with two equivalent Ti(2)O6 octahedra, and edges with two equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-55°. In the second Ti site, Ti(2) is bonded to one O(16), one O(2), one O(3), one O(4), one O(8), and one O(9) atom to form TiO6 octahedra that share corners with two equivalent Ni(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Ni(1)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, and edges with two equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-54°. In the third Ti site, Ti(3) is bonded to one O(1), one O(11), one O(12), one O(13), one O(5), and one O(6) atom to form TiO6 octahedra that share corners with two equivalent Ni(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Ni(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 are 54°. There are three inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(14), one O(16), one O(3), one O(4), one O(7), and one O(8) atom to form CoO6 octahedra that share corners with two equivalent Ni(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Ni(1)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 48-49°. In the second Co site, Co(2) is bonded to one O(1), one O(10), one O(11), one O(13), one O(15), and one O(5) atom to form CoO6 octahedra that share corners with two equivalent Ni(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Ni(2)O6 octahedra, edges with two equivalent Ti(3)O6 octahedra, and edges with two equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles are 52°. In the third Co site, Co(3) is bonded to one O(10), one O(12), one O(13), one O(15), one O(5), and one O(6) atom to form CoO6 octahedra that share corners with two equivalent Ni(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Ni(2)O6 octahedra, edges with two equivalent Ti(3)O6 octahedra, and edges with two equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-52°. There are two inequivalent Ni sites. In the first Ni site, Ni(1) is bonded to one O(1), one O(10), one O(2), one O(6), one O(7), and one O(8) atom to form NiO6 octahedra that share corners with two equivalent Ti(3)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with two equivalent Co(3)O6 octahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra, and  an edgeedge with one Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-54°. In the second Ni site, Ni(2) is bonded to one O(11), one O(12), one O(14), one O(15), one O(16), and one O(9) atom to form NiO6 octahedra that share corners with two equivalent Ti(1)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, and  an edgeedge with one Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-55°. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to one Li(3), one Ti(3), one Co(2), and one Ni(1) atom. In the second O site, O(2) is bonded to one Li(4), one Ti(1), one Ti(2), and one Ni(1) atom to form distorted OLiTi2Ni tetrahedra that share  a cornercorner with one O(7)LiTiCoNi tetrahedra,  a cornercorner with one O(8)LiTiCoNi tetrahedra, corners with two equivalent O(4)LiTi2Co tetrahedra,  a cornercorner with one O(10)LiCo2Ni trigonal pyramid,  an edgeedge with one O(7)LiTiCoNi tetrahedra, and  an edgeedge with one O(8)LiTiCoNi tetrahedra. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(1), one Ti(1), one Ti(2), and one Co(1) atom. In the fourth O site, O(4) is bonded to one Li(3), one Ti(1), one Ti(2), and one Co(1) atom to form distorted OLiTi2Co tetrahedra that share corners with two equivalent O(2)LiTi2Ni tetrahedra, corners with two equivalent O(7)LiTiCoNi tetrahedra, corners with two equivalent O(8)LiTiCoNi tetrahedra, and  a cornercorner with one O(10)LiCo2Ni trigonal pyramid. In the fifth O site, O(5) is bonded to one Li(2), one Ti(3), one Co(2), and one Co(3) atom to form distorted OLiTiCo2 tetrahedra that share corners with two equivalent O(15)LiCo2Ni tetrahedra, corners with two equivalent O(11)LiTiCoNi tetrahedra, corners with two equivalent O(12)LiTiCoNi tetrahedra, and  an edgeedge with one O(10)LiCo2Ni trigonal pyramid. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to one Li(3), one Ti(3), one Co(3), and one Ni(1) atom. In the seventh O site, O(7) is bonded to one Li(4), one Ti(1), one Co(1), and one Ni(1) atom to form distorted OLiTiCoNi tetrahedra that share  a cornercorner with one O(2)LiTi2Ni tetrahedra,  a cornercorner with one O(8)LiTiCoNi tetrahedra, corners with two equivalent O(4)LiTi2Co tetrahedra,  a cornercorner with one O(10)LiCo2Ni trigonal pyramid,  an edgeedge with one O(2)LiTi2Ni tetrahedra, and  an edgeedge with one O(8)LiTiCoNi tetrahedra. In the eighth O site, O(8) is bonded to one Li(4), one Ti(2), one Co(1), and one Ni(1) atom to form distorted OLiTiCoNi tetrahedra that share  a cornercorner with one O(2)LiTi2Ni tetrahedra,  a cornercorner with one O(7)LiTiCoNi tetrahedra, corners with two equivalent O(4)LiTi2Co tetrahedra,  a cornercorner with one O(10)LiCo2Ni trigonal pyramid,  an edgeedge with one O(2)LiTi2Ni tetrahedra, and  an edgeedge with one O(7)LiTiCoNi tetrahedra. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Li(2), one Ti(1), one Ti(2), and one Ni(2) atom. In the tenth O site, O(10) is bonded to one Li(3), one Co(2), one Co(3), and one Ni(1) atom to form distorted OLiCo2Ni trigonal pyramids that share  a cornercorner with one O(4)LiTi2Co tetrahedra,  a cornercorner with one O(2)LiTi2Ni tetrahedra,  a cornercorner with one O(11)LiTiCoNi tetrahedra,  a cornercorner with one O(12)LiTiCoNi tetrahedra,  a cornercorner with one O(7)LiTiCoNi tetrahedra,  a cornercorner with one O(8)LiTiCoNi tetrahedra, corners with two equivalent O(15)LiCo2Ni tetrahedra, and  an edgeedge with one O(5)LiTiCo2 tetrahedra. In the eleventh O site, O(11) is bonded to one Li(1), one Ti(3), one Co(2), and one Ni(2) atom to form distorted OLiTiCoNi tetrahedra that share  a cornercorner with one O(15)LiCo2Ni tetrahedra,  a cornercorner with one O(12)LiTiCoNi tetrahedra, corners with two equivalent O(5)LiTiCo2 tetrahedra,  a cornercorner with one O(10)LiCo2Ni trigonal pyramid,  an edgeedge with one O(15)LiCo2Ni tetrahedra, and  an edgeedge with one O(12)LiTiCoNi tetrahedra. In the twelfth O site, O(12) is bonded to one Li(1), one Ti(3), one Co(3), and one Ni(2) atom to form distorted OLiTiCoNi tetrahedra that share  a cornercorner with one O(15)LiCo2Ni tetrahedra,  a cornercorner with one O(11)LiTiCoNi tetrahedra, corners with two equivalent O(5)LiTiCo2 tetrahedra,  a cornercorner with one O(10)LiCo2Ni trigonal pyramid,  an edgeedge with one O(15)LiCo2Ni tetrahedra, and  an edgeedge with one O(11)LiTiCoNi tetrahedra. In the thirteenth O site, O(13) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), one Ti(3), one Co(2), and one Co(3) atom. In the fourteenth O site, O(14) is bonded in a rectangular see-saw-like geometry to one Li(2), one Ti(1), one Co(1), and one Ni(2) atom. In the fifteenth O site, O(15) is bonded to one Li(1), one Co(2), one Co(3), and one Ni(2) atom to form distorted OLiCo2Ni tetrahedra that share  a cornercorner with one O(11)LiTiCoNi tetrahedra,  a cornercorner with one O(12)LiTiCoNi tetrahedra, corners with two equivalent O(5)LiTiCo2 tetrahedra, corners with two equivalent O(10)LiCo2Ni trigonal pyramids,  an edgeedge with one O(11)LiTiCoNi tetrahedra, and  an edgeedge with one O(12)LiTiCoNi tetrahedra. In the sixteenth O site, O(16) is bonded in a rectangular see-saw-like geometry to one Li(2), one Ti(2), one Co(1), and one Ni(2) atom. is represented by the CIF card [CIF]
data_Li4Ti3Co3(NiO8)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.764
_cell_length_b   5.812
_cell_length_c   9.645
_cell_angle_alpha   89.919
_cell_angle_beta   90.206
_cell_angle_gamma   120.264
_symmetry_Int_Tables_number   1
_cell_volume   279.078
_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  0.348  0.673  0.890  1.0
  Li  Li1  1  0.972  0.987  0.996  1.0
  Li  Li2  1  0.978  0.989  0.499  1.0
  Li  Li3  1  0.681  0.340  0.397  1.0
  Ti  Ti4  1  0.174  0.834  0.215  1.0
  Ti  Ti5  1  0.178  0.340  0.215  1.0
  Ti  Ti6  1  0.344  0.173  0.715  1.0
  Co  Co7  1  0.661  0.831  0.213  1.0
  Co  Co8  1  0.834  0.664  0.714  1.0
  Co  Co9  1  0.833  0.169  0.714  1.0
  Ni  Ni10  1  0.330  0.665  0.491  1.0
  Ni  Ni11  1  0.665  0.332  0.987  1.0
  O  O12  1  0.152  0.836  0.606  1.0
  O  O13  1  0.039  0.519  0.332  1.0
  O  O14  1  0.331  0.666  0.100  1.0
  O  O15  1  0.992  0.996  0.314  1.0
  O  O16  1  0.993  0.996  0.811  1.0
  O  O17  1  0.151  0.317  0.606  1.0
  O  O18  1  0.495  0.969  0.333  1.0
  O  O19  1  0.495  0.525  0.333  1.0
  O  O20  1  0.318  0.159  0.102  1.0
  O  O21  1  0.677  0.839  0.616  1.0
  O  O22  1  0.529  0.491  0.832  1.0
  O  O23  1  0.530  0.038  0.832  1.0
  O  O24  1  0.675  0.338  0.605  1.0
  O  O25  1  0.827  0.677  0.109  1.0
  O  O26  1  0.969  0.484  0.822  1.0
  O  O27  1  0.827  0.151  0.109  1.0
[/CIF]
.