The crystal structure described by Li10Ti3Co3(NiO8)2 crystallizes in the triclinic P1 space group. There are ten inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(1), one O(12), one O(13), one O(3), one O(8), and one O(9) atom to form distorted LiO6 octahedra that share corners with three equivalent Ni(2)O6 octahedra, corners with three equivalent Li(10)O4 tetrahedra, edges with two equivalent Ti(2)O6 octahedra, edges with two equivalent Ti(3)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, and  a faceface with one Ni(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-13°. In the second Li site, Li(2) is bonded in a 5-coordinate geometry to one O(13), one O(14), one O(15), one O(4), and one O(9) atom. In the third Li site, Li(3) is bonded in a 6-coordinate geometry to one O(11), one O(12), one O(13), one O(15), one O(4), and one O(7) atom. In the fourth Li site, Li(4) is bonded in a 5-coordinate geometry to one O(12), one O(14), one O(15), one O(4), and one O(9) atom. In the fifth Li site, Li(5) is bonded to one O(11), one O(14), one O(2), one O(5), one O(6), and one O(7) atom to form distorted LiO6 octahedra that share corners with three equivalent Ni(1)O6 octahedra, corners with three equivalent Li(9)O4 tetrahedra, edges with two equivalent Ti(1)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and  a faceface with one Ni(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-7°. In the sixth Li site, Li(6) is bonded in a 5-coordinate geometry to one O(10), one O(16), one O(2), one O(6), and one O(8) atom. In the seventh Li site, Li(7) is bonded in a 5-coordinate geometry to one O(10), one O(16), one O(3), one O(5), and one O(6) atom. In the eighth Li site, Li(8) is bonded in a 4-coordinate geometry to one O(10), one O(16), one O(2), one O(5), and one O(8) atom. In the ninth Li site, Li(9) is bonded to one O(11), one O(14), one O(15), and one O(7) atom to form LiO4 tetrahedra that share  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra, corners with three equivalent Li(5)O6 octahedra, corners with three equivalent Ni(2)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra, and  an edgeedge with one Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 13-61°. In the tenth Li site, Li(10) is bonded to one O(1), one O(16), one O(3), and one O(8) atom to form distorted LiO4 tetrahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra, corners with three equivalent Li(1)O6 octahedra, corners with three equivalent Ni(1)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra, and  an edgeedge with one Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-66°. There are three inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(11), one O(16), one O(2), one O(4), one O(5), and one O(7) atom to form TiO6 octahedra that share corners with two equivalent Ni(2)O6 octahedra,  a cornercorner with one Li(10)O4 tetrahedra,  an edgeedge with one Ni(1)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and  an edgeedge with one Li(9)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 46-47°. In the second Ti site, Ti(2) is bonded to one O(1), one O(10), one O(12), one O(15), one O(3), and one O(9) atom to form TiO6 octahedra that share corners with two equivalent Ni(1)O6 octahedra,  a cornercorner with one Li(9)O4 tetrahedra,  an edgeedge with one Ni(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Ti(3)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, and  an edgeedge with one Li(10)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 43-48°. In the third Ti site, Ti(3) is bonded to one O(1), one O(10), one O(13), one O(15), one O(8), and one O(9) atom to form TiO6 octahedra that share corners with two equivalent Ni(1)O6 octahedra,  a cornercorner with one Li(9)O4 tetrahedra,  an edgeedge with one Ni(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Ti(2)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, and  an edgeedge with one Li(10)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 48-53°. There are three inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(14), one O(16), one O(2), one O(4), one O(6), and one O(7) atom to form CoO6 octahedra that share corners with two equivalent Ni(2)O6 octahedra,  a cornercorner with one Li(10)O4 tetrahedra,  an edgeedge with one Ni(1)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and  an edgeedge with one Li(9)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 51-55°. In the second Co site, Co(2) is bonded to one O(11), one O(14), one O(16), one O(4), one O(5), and one O(6) atom to form CoO6 octahedra that share corners with two equivalent Ni(2)O6 octahedra,  a cornercorner with one Li(10)O4 tetrahedra,  an edgeedge with one Ni(1)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and  an edgeedge with one Li(9)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 51-55°. In the third Co site, Co(3) is bonded to one O(10), one O(12), one O(13), one O(15), one O(3), and one O(8) atom to form CoO6 octahedra that share corners with two equivalent Ni(1)O6 octahedra,  a cornercorner with one Li(9)O4 tetrahedra,  an edgeedge with one Ni(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Ti(2)O6 octahedra, edges with two equivalent Ti(3)O6 octahedra, and  an edgeedge with one Li(10)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 55-56°. There are two inequivalent Ni sites. In the first Ni site, Ni(1) is bonded to one O(1), one O(2), one O(3), one O(5), one O(6), and one O(8) atom to form distorted NiO6 octahedra that share corners with two equivalent Ti(2)O6 octahedra, corners with two equivalent Ti(3)O6 octahedra, corners with two equivalent Co(3)O6 octahedra, corners with three equivalent Li(5)O6 octahedra, corners with three equivalent Li(10)O4 tetrahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, and  a faceface with one Li(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-56°. In the second Ni site, Ni(2) is bonded to one O(11), one O(12), one O(13), one O(14), one O(7), and one O(9) atom to form distorted NiO6 octahedra that share corners with two equivalent Ti(1)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with three equivalent Li(1)O6 octahedra, corners with three equivalent Li(9)O4 tetrahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra, and  a faceface with one Li(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-55°. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a 5-coordinate geometry to one Li(1), one Li(10), one Ti(2), one Ti(3), and one Ni(1) atom. In the second O site, O(2) is bonded to one Li(5), one Li(6), one Li(8), one Ti(1), one Co(1), and one Ni(1) atom to form OLi3TiCoNi octahedra that share edges with two equivalent O(6)Li3Co2Ni octahedra, edges with two equivalent O(5)Li3TiCoNi octahedra, and  an edgeedge with one O(4)Li3TiCo2 pentagonal pyramid. In the third O site, O(3) is bonded in a 6-coordinate geometry to one Li(1), one Li(10), one Li(7), one Ti(2), one Co(3), and one Ni(1) atom. In the fourth O site, O(4) is bonded to one Li(2), one Li(3), one Li(4), one Ti(1), one Co(1), and one Co(2) atom to form distorted OLi3TiCo2 pentagonal pyramids that share  an edgeedge with one O(6)Li3Co2Ni octahedra,  an edgeedge with one O(9)Li3Ti2Ni octahedra,  an edgeedge with one O(12)Li3TiCoNi octahedra,  an edgeedge with one O(13)Li3TiCoNi octahedra,  an edgeedge with one O(2)Li3TiCoNi octahedra, and  an edgeedge with one O(5)Li3TiCoNi octahedra. In the fifth O site, O(5) is bonded to one Li(5), one Li(7), one Li(8), one Ti(1), one Co(2), and one Ni(1) atom to form OLi3TiCoNi octahedra that share edges with two equivalent O(6)Li3Co2Ni octahedra, edges with two equivalent O(2)Li3TiCoNi octahedra, and  an edgeedge with one O(4)Li3TiCo2 pentagonal pyramid. In the sixth O site, O(6) is bonded to one Li(5), one Li(6), one Li(7), one Co(1), one Co(2), and one Ni(1) atom to form OLi3Co2Ni octahedra that share edges with two equivalent O(2)Li3TiCoNi octahedra, edges with two equivalent O(5)Li3TiCoNi octahedra, and  an edgeedge with one O(4)Li3TiCo2 pentagonal pyramid. In the seventh O site, O(7) is bonded in a 6-coordinate geometry to one Li(3), one Li(5), one Li(9), one Ti(1), one Co(1), and one Ni(2) atom. In the eighth O site, O(8) is bonded in a 7-coordinate geometry to one Li(1), one Li(10), one Li(6), one Li(8), one Ti(3), one Co(3), and one Ni(1) atom. In the ninth O site, O(9) is bonded to one Li(1), one Li(2), one Li(4), one Ti(2), one Ti(3), and one Ni(2) atom to form OLi3Ti2Ni octahedra that share edges with two equivalent O(12)Li3TiCoNi octahedra, edges with two equivalent O(13)Li3TiCoNi octahedra, and  an edgeedge with one O(4)Li3TiCo2 pentagonal pyramid. In the tenth O site, O(10) is bonded in a 6-coordinate geometry to one Li(6), one Li(7), one Li(8), one Ti(2), one Ti(3), and one Co(3) atom. In the eleventh O site, O(11) is bonded in a 6-coordinate geometry to one Li(3), one Li(5), one Li(9), one Ti(1), one Co(2), and one Ni(2) atom. In the twelfth O site, O(12) is bonded to one Li(1), one Li(3), one Li(4), one Ti(2), one Co(3), and one Ni(2) atom to form OLi3TiCoNi octahedra that share edges with two equivalent O(9)Li3Ti2Ni octahedra, edges with two equivalent O(13)Li3TiCoNi octahedra, and  an edgeedge with one O(4)Li3TiCo2 pentagonal pyramid. In the thirteenth O site, O(13) is bonded to one Li(1), one Li(2), one Li(3), one Ti(3), one Co(3), and one Ni(2) atom to form OLi3TiCoNi octahedra that share edges with two equivalent O(9)Li3Ti2Ni octahedra, edges with two equivalent O(12)Li3TiCoNi octahedra, and  an edgeedge with one O(4)Li3TiCo2 pentagonal pyramid. In the fourteenth O site, O(14) is bonded in a 7-coordinate geometry to one Li(2), one Li(4), one Li(5), one Li(9), one Co(1), one Co(2), and one Ni(2) atom. In the fifteenth O site, O(15) is bonded in a 7-coordinate geometry to one Li(2), one Li(3), one Li(4), one Li(9), one Ti(2), one Ti(3), and one Co(3) atom. In the sixteenth O site, O(16) is bonded in a 7-coordinate geometry to one Li(10), one Li(6), one Li(7), one Li(8), one Ti(1), one Co(1), and one Co(2) atom. is represented by the CIF card [CIF]
data_Li10Ti3Co3(NiO8)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.984
_cell_length_b   5.986
_cell_length_c   9.895
_cell_angle_alpha   90.782
_cell_angle_beta   90.351
_cell_angle_gamma   119.561
_symmetry_Int_Tables_number   1
_cell_volume   308.254
_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  0.636  0.310  0.218  1.0
  Li  Li1  1  0.825  0.217  0.455  1.0
  Li  Li2  1  0.791  0.602  0.445  1.0
  Li  Li3  1  0.383  0.208  0.452  1.0
  Li  Li4  1  0.328  0.659  0.718  1.0
  Li  Li5  1  0.194  0.823  0.924  1.0
  Li  Li6  1  0.591  0.802  0.937  1.0
  Li  Li7  1  0.184  0.362  0.922  1.0
  Li  Li8  1  0.986  0.978  0.522  1.0
  Li  Li9  1  0.973  0.980  0.016  1.0
  Ti  Ti10  1  0.816  0.638  0.714  1.0
  Ti  Ti11  1  0.646  0.824  0.225  1.0
  Ti  Ti12  1  0.141  0.801  0.209  1.0
  Co  Co13  1  0.823  0.154  0.714  1.0
  Co  Co14  1  0.329  0.156  0.711  1.0
  Co  Co15  1  0.147  0.318  0.213  1.0
  Ni  Ni16  1  0.656  0.315  0.964  1.0
  Ni  Ni17  1  0.317  0.646  0.477  1.0
  O  O18  1  0.821  0.661  0.105  1.0
  O  O19  1  0.978  0.492  0.837  1.0
  O  O20  1  0.798  0.124  0.103  1.0
  O  O21  1  0.667  0.340  0.589  1.0
  O  O22  1  0.512  0.493  0.836  1.0
  O  O23  1  0.503  0.010  0.834  1.0
  O  O24  1  0.660  0.798  0.596  1.0
  O  O25  1  0.295  0.122  0.102  1.0
  O  O26  1  0.476  0.969  0.331  1.0
  O  O27  1  0.325  0.673  0.100  1.0
  O  O28  1  0.133  0.798  0.598  1.0
  O  O29  1  0.486  0.506  0.327  1.0
  O  O30  1  0.003  0.508  0.329  1.0
  O  O31  1  0.151  0.308  0.583  1.0
  O  O32  1  0.967  0.959  0.329  1.0
  O  O33  1  0.983  0.967  0.832  1.0
[/CIF]
.
The crystal structure described by Li10Ti3Co3(NiO8)2 crystallizes in the triclinic P1 space group. There are ten inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(1), one O(12), one O(13), one O(3), one O(8), and one O(9) atom to form distorted LiO6 octahedra that share corners with three equivalent Ni(2)O6 octahedra, corners with three equivalent Li(10)O4 tetrahedra, edges with two equivalent Ti(2)O6 octahedra, edges with two equivalent Ti(3)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, and  a faceface with one Ni(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-13°. In the second Li site, Li(2) is bonded in a 5-coordinate geometry to one O(13), one O(14), one O(15), one O(4), and one O(9) atom. In the third Li site, Li(3) is bonded in a 6-coordinate geometry to one O(11), one O(12), one O(13), one O(15), one O(4), and one O(7) atom. In the fourth Li site, Li(4) is bonded in a 5-coordinate geometry to one O(12), one O(14), one O(15), one O(4), and one O(9) atom. In the fifth Li site, Li(5) is bonded to one O(11), one O(14), one O(2), one O(5), one O(6), and one O(7) atom to form distorted LiO6 octahedra that share corners with three equivalent Ni(1)O6 octahedra, corners with three equivalent Li(9)O4 tetrahedra, edges with two equivalent Ti(1)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and  a faceface with one Ni(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-7°. In the sixth Li site, Li(6) is bonded in a 5-coordinate geometry to one O(10), one O(16), one O(2), one O(6), and one O(8) atom. In the seventh Li site, Li(7) is bonded in a 5-coordinate geometry to one O(10), one O(16), one O(3), one O(5), and one O(6) atom. In the eighth Li site, Li(8) is bonded in a 4-coordinate geometry to one O(10), one O(16), one O(2), one O(5), and one O(8) atom. In the ninth Li site, Li(9) is bonded to one O(11), one O(14), one O(15), and one O(7) atom to form LiO4 tetrahedra that share  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra, corners with three equivalent Li(5)O6 octahedra, corners with three equivalent Ni(2)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra, and  an edgeedge with one Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 13-61°. In the tenth Li site, Li(10) is bonded to one O(1), one O(16), one O(3), and one O(8) atom to form distorted LiO4 tetrahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra, corners with three equivalent Li(1)O6 octahedra, corners with three equivalent Ni(1)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra, and  an edgeedge with one Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-66°. There are three inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(11), one O(16), one O(2), one O(4), one O(5), and one O(7) atom to form TiO6 octahedra that share corners with two equivalent Ni(2)O6 octahedra,  a cornercorner with one Li(10)O4 tetrahedra,  an edgeedge with one Ni(1)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and  an edgeedge with one Li(9)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 46-47°. In the second Ti site, Ti(2) is bonded to one O(1), one O(10), one O(12), one O(15), one O(3), and one O(9) atom to form TiO6 octahedra that share corners with two equivalent Ni(1)O6 octahedra,  a cornercorner with one Li(9)O4 tetrahedra,  an edgeedge with one Ni(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Ti(3)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, and  an edgeedge with one Li(10)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 43-48°. In the third Ti site, Ti(3) is bonded to one O(1), one O(10), one O(13), one O(15), one O(8), and one O(9) atom to form TiO6 octahedra that share corners with two equivalent Ni(1)O6 octahedra,  a cornercorner with one Li(9)O4 tetrahedra,  an edgeedge with one Ni(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Ti(2)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, and  an edgeedge with one Li(10)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 48-53°. There are three inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(14), one O(16), one O(2), one O(4), one O(6), and one O(7) atom to form CoO6 octahedra that share corners with two equivalent Ni(2)O6 octahedra,  a cornercorner with one Li(10)O4 tetrahedra,  an edgeedge with one Ni(1)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and  an edgeedge with one Li(9)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 51-55°. In the second Co site, Co(2) is bonded to one O(11), one O(14), one O(16), one O(4), one O(5), and one O(6) atom to form CoO6 octahedra that share corners with two equivalent Ni(2)O6 octahedra,  a cornercorner with one Li(10)O4 tetrahedra,  an edgeedge with one Ni(1)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and  an edgeedge with one Li(9)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 51-55°. In the third Co site, Co(3) is bonded to one O(10), one O(12), one O(13), one O(15), one O(3), and one O(8) atom to form CoO6 octahedra that share corners with two equivalent Ni(1)O6 octahedra,  a cornercorner with one Li(9)O4 tetrahedra,  an edgeedge with one Ni(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Ti(2)O6 octahedra, edges with two equivalent Ti(3)O6 octahedra, and  an edgeedge with one Li(10)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 55-56°. There are two inequivalent Ni sites. In the first Ni site, Ni(1) is bonded to one O(1), one O(2), one O(3), one O(5), one O(6), and one O(8) atom to form distorted NiO6 octahedra that share corners with two equivalent Ti(2)O6 octahedra, corners with two equivalent Ti(3)O6 octahedra, corners with two equivalent Co(3)O6 octahedra, corners with three equivalent Li(5)O6 octahedra, corners with three equivalent Li(10)O4 tetrahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, and  a faceface with one Li(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-56°. In the second Ni site, Ni(2) is bonded to one O(11), one O(12), one O(13), one O(14), one O(7), and one O(9) atom to form distorted NiO6 octahedra that share corners with two equivalent Ti(1)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with three equivalent Li(1)O6 octahedra, corners with three equivalent Li(9)O4 tetrahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra, and  a faceface with one Li(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-55°. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a 5-coordinate geometry to one Li(1), one Li(10), one Ti(2), one Ti(3), and one Ni(1) atom. In the second O site, O(2) is bonded to one Li(5), one Li(6), one Li(8), one Ti(1), one Co(1), and one Ni(1) atom to form OLi3TiCoNi octahedra that share edges with two equivalent O(6)Li3Co2Ni octahedra, edges with two equivalent O(5)Li3TiCoNi octahedra, and  an edgeedge with one O(4)Li3TiCo2 pentagonal pyramid. In the third O site, O(3) is bonded in a 6-coordinate geometry to one Li(1), one Li(10), one Li(7), one Ti(2), one Co(3), and one Ni(1) atom. In the fourth O site, O(4) is bonded to one Li(2), one Li(3), one Li(4), one Ti(1), one Co(1), and one Co(2) atom to form distorted OLi3TiCo2 pentagonal pyramids that share  an edgeedge with one O(6)Li3Co2Ni octahedra,  an edgeedge with one O(9)Li3Ti2Ni octahedra,  an edgeedge with one O(12)Li3TiCoNi octahedra,  an edgeedge with one O(13)Li3TiCoNi octahedra,  an edgeedge with one O(2)Li3TiCoNi octahedra, and  an edgeedge with one O(5)Li3TiCoNi octahedra. In the fifth O site, O(5) is bonded to one Li(5), one Li(7), one Li(8), one Ti(1), one Co(2), and one Ni(1) atom to form OLi3TiCoNi octahedra that share edges with two equivalent O(6)Li3Co2Ni octahedra, edges with two equivalent O(2)Li3TiCoNi octahedra, and  an edgeedge with one O(4)Li3TiCo2 pentagonal pyramid. In the sixth O site, O(6) is bonded to one Li(5), one Li(6), one Li(7), one Co(1), one Co(2), and one Ni(1) atom to form OLi3Co2Ni octahedra that share edges with two equivalent O(2)Li3TiCoNi octahedra, edges with two equivalent O(5)Li3TiCoNi octahedra, and  an edgeedge with one O(4)Li3TiCo2 pentagonal pyramid. In the seventh O site, O(7) is bonded in a 6-coordinate geometry to one Li(3), one Li(5), one Li(9), one Ti(1), one Co(1), and one Ni(2) atom. In the eighth O site, O(8) is bonded in a 7-coordinate geometry to one Li(1), one Li(10), one Li(6), one Li(8), one Ti(3), one Co(3), and one Ni(1) atom. In the ninth O site, O(9) is bonded to one Li(1), one Li(2), one Li(4), one Ti(2), one Ti(3), and one Ni(2) atom to form OLi3Ti2Ni octahedra that share edges with two equivalent O(12)Li3TiCoNi octahedra, edges with two equivalent O(13)Li3TiCoNi octahedra, and  an edgeedge with one O(4)Li3TiCo2 pentagonal pyramid. In the tenth O site, O(10) is bonded in a 6-coordinate geometry to one Li(6), one Li(7), one Li(8), one Ti(2), one Ti(3), and one Co(3) atom. In the eleventh O site, O(11) is bonded in a 6-coordinate geometry to one Li(3), one Li(5), one Li(9), one Ti(1), one Co(2), and one Ni(2) atom. In the twelfth O site, O(12) is bonded to one Li(1), one Li(3), one Li(4), one Ti(2), one Co(3), and one Ni(2) atom to form OLi3TiCoNi octahedra that share edges with two equivalent O(9)Li3Ti2Ni octahedra, edges with two equivalent O(13)Li3TiCoNi octahedra, and  an edgeedge with one O(4)Li3TiCo2 pentagonal pyramid. In the thirteenth O site, O(13) is bonded to one Li(1), one Li(2), one Li(3), one Ti(3), one Co(3), and one Ni(2) atom to form OLi3TiCoNi octahedra that share edges with two equivalent O(9)Li3Ti2Ni octahedra, edges with two equivalent O(12)Li3TiCoNi octahedra, and  an edgeedge with one O(4)Li3TiCo2 pentagonal pyramid. In the fourteenth O site, O(14) is bonded in a 7-coordinate geometry to one Li(2), one Li(4), one Li(5), one Li(9), one Co(1), one Co(2), and one Ni(2) atom. In the fifteenth O site, O(15) is bonded in a 7-coordinate geometry to one Li(2), one Li(3), one Li(4), one Li(9), one Ti(2), one Ti(3), and one Co(3) atom. In the sixteenth O site, O(16) is bonded in a 7-coordinate geometry to one Li(10), one Li(6), one Li(7), one Li(8), one Ti(1), one Co(1), and one Co(2) atom. is represented by the CIF card [CIF]
data_Li10Ti3Co3(NiO8)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.984
_cell_length_b   5.986
_cell_length_c   9.895
_cell_angle_alpha   90.782
_cell_angle_beta   90.351
_cell_angle_gamma   119.561
_symmetry_Int_Tables_number   1
_cell_volume   308.254
_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  0.636  0.310  0.218  1.0
  Li  Li1  1  0.825  0.217  0.455  1.0
  Li  Li2  1  0.791  0.602  0.445  1.0
  Li  Li3  1  0.383  0.208  0.452  1.0
  Li  Li4  1  0.328  0.659  0.718  1.0
  Li  Li5  1  0.194  0.823  0.924  1.0
  Li  Li6  1  0.591  0.802  0.937  1.0
  Li  Li7  1  0.184  0.362  0.922  1.0
  Li  Li8  1  0.986  0.978  0.522  1.0
  Li  Li9  1  0.973  0.980  0.016  1.0
  Ti  Ti10  1  0.816  0.638  0.714  1.0
  Ti  Ti11  1  0.646  0.824  0.225  1.0
  Ti  Ti12  1  0.141  0.801  0.209  1.0
  Co  Co13  1  0.823  0.154  0.714  1.0
  Co  Co14  1  0.329  0.156  0.711  1.0
  Co  Co15  1  0.147  0.318  0.213  1.0
  Ni  Ni16  1  0.656  0.315  0.964  1.0
  Ni  Ni17  1  0.317  0.646  0.477  1.0
  O  O18  1  0.821  0.661  0.105  1.0
  O  O19  1  0.978  0.492  0.837  1.0
  O  O20  1  0.798  0.124  0.103  1.0
  O  O21  1  0.667  0.340  0.589  1.0
  O  O22  1  0.512  0.493  0.836  1.0
  O  O23  1  0.503  0.010  0.834  1.0
  O  O24  1  0.660  0.798  0.596  1.0
  O  O25  1  0.295  0.122  0.102  1.0
  O  O26  1  0.476  0.969  0.331  1.0
  O  O27  1  0.325  0.673  0.100  1.0
  O  O28  1  0.133  0.798  0.598  1.0
  O  O29  1  0.486  0.506  0.327  1.0
  O  O30  1  0.003  0.508  0.329  1.0
  O  O31  1  0.151  0.308  0.583  1.0
  O  O32  1  0.967  0.959  0.329  1.0
  O  O33  1  0.983  0.967  0.832  1.0
[/CIF]
.