The material structure described by Li10Ti2Fe3Co3O16 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(16), and one O(4) atom to form LiO4 tetrahedra that share  a cornercorner with one Fe(1)O6 octahedra,  a cornercorner with one Fe(2)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra, corners with three equivalent Li(8)O6 octahedra, corners with three equivalent Ti(1)O6 octahedra,  an edgeedge with one Fe(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 20-62°. In the second Li site, Li(2) is bonded to one O(11), one O(15), one O(2), and one O(3) atom to form LiO4 tetrahedra that share  a cornercorner with one Fe(3)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra, corners with three equivalent Li(6)O6 octahedra, corners with three equivalent Ti(2)O6 octahedra,  an edgeedge with one Fe(1)O6 octahedra,  an edgeedge with one Fe(2)O6 octahedra, and  an edgeedge with one Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 17-60°. In the third Li site, Li(3) is bonded in a 6-coordinate geometry to one O(1), one O(10), one O(12), one O(13), one O(4), and one O(7) atom. In the fourth Li site, Li(4) is bonded in a 6-coordinate geometry to one O(11), one O(14), one O(2), one O(3), one O(8), and one O(9) atom. In the fifth Li site, Li(5) is bonded in a 6-coordinate geometry to one O(1), one O(10), one O(13), one O(16), one O(4), and one O(5) atom. In the sixth Li site, Li(6) is bonded to one O(11), one O(13), one O(15), one O(3), one O(5), and one O(7) atom to form LiO6 octahedra that share corners with three equivalent Ti(1)O6 octahedra, corners with three equivalent Li(2)O4 tetrahedra, edges with two equivalent Fe(1)O6 octahedra, edges with two equivalent Fe(2)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and  a faceface with one Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-9°. In the seventh Li site, Li(7) is bonded in a 6-coordinate geometry to one O(14), one O(15), one O(2), one O(3), one O(6), and one O(8) atom. In the eighth Li site, Li(8) is bonded to one O(12), one O(14), one O(16), one O(4), one O(6), and one O(9) atom to form LiO6 octahedra that share corners with three equivalent Ti(2)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra, edges with two equivalent Fe(3)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, and  a faceface with one Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-9°. In the ninth Li site, Li(9) is bonded in a 6-coordinate geometry to one O(1), one O(10), one O(12), one O(16), one O(5), and one O(7) atom. In the tenth Li site, Li(10) is bonded in a 6-coordinate geometry to one O(11), one O(15), one O(2), one O(6), one O(8), and one O(9) 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(4), one O(5), and one O(7) atom to form TiO6 octahedra that share corners with two equivalent Fe(3)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with two equivalent Co(3)O6 octahedra, corners with three equivalent Li(6)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one Fe(1)O6 octahedra,  an edgeedge with one Fe(2)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra, and  a faceface with one Li(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-50°. In the second Ti site, Ti(2) is bonded to one O(11), one O(14), one O(15), one O(3), one O(6), and one O(9) atom to form TiO6 octahedra that share corners with two equivalent Fe(1)O6 octahedra, corners with two equivalent Fe(2)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, corners with three equivalent Li(8)O6 octahedra, corners with three equivalent Li(2)O4 tetrahedra,  an edgeedge with one Fe(3)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra, and  a faceface with one Li(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-51°. There are three inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to one O(1), one O(13), one O(15), one O(3), one O(5), and one O(8) atom to form FeO6 octahedra that share corners with two equivalent Ti(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  an edgeedge with one Ti(1)O6 octahedra, edges with two equivalent Li(6)O6 octahedra, edges with two equivalent Fe(2)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 50-51°. In the second Fe site, Fe(2) is bonded to one O(1), one O(11), one O(13), one O(15), one O(7), and one O(8) atom to form FeO6 octahedra that share corners with two equivalent Ti(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  an edgeedge with one Ti(1)O6 octahedra, edges with two equivalent Li(6)O6 octahedra, edges with two equivalent Fe(1)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 49-50°. In the third Fe site, Fe(3) is bonded to one O(10), one O(12), one O(14), one O(16), one O(2), and one O(9) atom to form FeO6 octahedra that share corners with two equivalent Ti(1)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra,  an edgeedge with one Ti(2)O6 octahedra, edges with two equivalent Li(8)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, and  an edgeedge with one Li(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 48-49°. There are three inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(1), one O(11), one O(3), one O(5), one O(7), and one O(8) atom to form CoO6 octahedra that share corners with two equivalent Ti(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  an edgeedge with one Ti(1)O6 octahedra, edges with two equivalent Li(6)O6 octahedra, edges with two equivalent Fe(1)O6 octahedra, edges with two equivalent Fe(2)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 43-45°. In the second Co site, Co(2) is bonded to one O(10), one O(12), one O(2), one O(4), one O(6), and one O(9) atom to form CoO6 octahedra that share corners with two equivalent Ti(1)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra,  an edgeedge with one Ti(2)O6 octahedra, edges with two equivalent Li(8)O6 octahedra, edges with two equivalent Fe(3)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, and  an edgeedge with one Li(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 45-47°. In the third Co site, Co(3) is bonded to one O(10), one O(14), one O(16), one O(2), one O(4), and one O(6) atom to form CoO6 octahedra that share corners with two equivalent Ti(1)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra,  an edgeedge with one Ti(2)O6 octahedra, edges with two equivalent Li(8)O6 octahedra, edges with two equivalent Fe(3)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and  an edgeedge with one Li(1)O4 tetrahedra. The corner-sharing octahedral tilt angles are 50°. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a 7-coordinate geometry to one Li(1), one Li(3), one Li(5), one Li(9), one Fe(1), one Fe(2), and one Co(1) atom. In the second O site, O(2) is bonded in a 7-coordinate geometry to one Li(10), one Li(2), one Li(4), one Li(7), one Fe(3), one Co(2), and one Co(3) atom. In the third O site, O(3) is bonded in a 7-coordinate geometry to one Li(2), one Li(4), one Li(6), one Li(7), one Ti(2), one Fe(1), and one Co(1) atom. In the fourth O site, O(4) is bonded in a 7-coordinate geometry to one Li(1), one Li(3), one Li(5), one Li(8), one Ti(1), one Co(2), and one Co(3) atom. In the fifth O site, O(5) is bonded to one Li(5), one Li(6), one Li(9), one Ti(1), one Fe(1), and one Co(1) atom to form OLi3TiFeCo octahedra that share edges with two equivalent O(13)Li3TiFe2 octahedra, edges with two equivalent O(7)Li3TiFeCo octahedra,  an edgeedge with one O(8)Li3Fe2Co pentagonal pyramid, and  an edgeedge with one O(10)Li3FeCo2 pentagonal pyramid. In the sixth O site, O(6) is bonded to one Li(10), one Li(7), one Li(8), one Ti(2), one Co(2), and one Co(3) atom to form OLi3TiCo2 octahedra that share edges with two equivalent O(14)Li3TiFeCo octahedra, edges with two equivalent O(9)Li3TiFeCo octahedra,  an edgeedge with one O(8)Li3Fe2Co pentagonal pyramid, and  an edgeedge with one O(10)Li3FeCo2 pentagonal pyramid. In the seventh O site, O(7) is bonded to one Li(3), one Li(6), one Li(9), one Ti(1), one Fe(2), and one Co(1) atom to form OLi3TiFeCo octahedra that share edges with two equivalent O(13)Li3TiFe2 octahedra, edges with two equivalent O(5)Li3TiFeCo octahedra,  an edgeedge with one O(8)Li3Fe2Co pentagonal pyramid, and  an edgeedge with one O(10)Li3FeCo2 pentagonal pyramid. In the eighth O site, O(8) is bonded to one Li(10), one Li(4), one Li(7), one Fe(1), one Fe(2), and one Co(1) atom to form distorted OLi3Fe2Co pentagonal pyramids that share  an edgeedge with one O(6)Li3TiCo2 octahedra,  an edgeedge with one O(13)Li3TiFe2 octahedra,  an edgeedge with one O(14)Li3TiFeCo octahedra,  an edgeedge with one O(5)Li3TiFeCo octahedra,  an edgeedge with one O(7)Li3TiFeCo octahedra, and  an edgeedge with one O(9)Li3TiFeCo octahedra. In the ninth O site, O(9) is bonded to one Li(10), one Li(4), one Li(8), one Ti(2), one Fe(3), and one Co(2) atom to form OLi3TiFeCo octahedra that share edges with two equivalent O(6)Li3TiCo2 octahedra, edges with two equivalent O(14)Li3TiFeCo octahedra,  an edgeedge with one O(8)Li3Fe2Co pentagonal pyramid, and  an edgeedge with one O(10)Li3FeCo2 pentagonal pyramid. In the tenth O site, O(10) is bonded to one Li(3), one Li(5), one Li(9), one Fe(3), one Co(2), and one Co(3) atom to form distorted OLi3FeCo2 pentagonal pyramids that share  an edgeedge with one O(6)Li3TiCo2 octahedra,  an edgeedge with one O(13)Li3TiFe2 octahedra,  an edgeedge with one O(14)Li3TiFeCo octahedra,  an edgeedge with one O(5)Li3TiFeCo octahedra,  an edgeedge with one O(7)Li3TiFeCo octahedra, and  an edgeedge with one O(9)Li3TiFeCo octahedra. In the eleventh O site, O(11) is bonded in a 7-coordinate geometry to one Li(10), one Li(2), one Li(4), one Li(6), one Ti(2), one Fe(2), and one Co(1) atom. In the twelfth O site, O(12) is bonded in a 7-coordinate geometry to one Li(1), one Li(3), one Li(8), one Li(9), one Ti(1), one Fe(3), and one Co(2) atom. In the thirteenth O site, O(13) is bonded to one Li(3), one Li(5), one Li(6), one Ti(1), one Fe(1), and one Fe(2) atom to form OLi3TiFe2 octahedra that share edges with two equivalent O(5)Li3TiFeCo octahedra, edges with two equivalent O(7)Li3TiFeCo octahedra,  an edgeedge with one O(8)Li3Fe2Co pentagonal pyramid, and  an edgeedge with one O(10)Li3FeCo2 pentagonal pyramid. In the fourteenth O site, O(14) is bonded to one Li(4), one Li(7), one Li(8), one Ti(2), one Fe(3), and one Co(3) atom to form OLi3TiFeCo octahedra that share edges with two equivalent O(6)Li3TiCo2 octahedra, edges with two equivalent O(9)Li3TiFeCo octahedra,  an edgeedge with one O(8)Li3Fe2Co pentagonal pyramid, and  an edgeedge with one O(10)Li3FeCo2 pentagonal pyramid. In the fifteenth O site, O(15) is bonded in a 7-coordinate geometry to one Li(10), one Li(2), one Li(6), one Li(7), one Ti(2), one Fe(1), and one Fe(2) atom. In the sixteenth O site, O(16) is bonded in a 7-coordinate geometry to one Li(1), one Li(5), one Li(8), one Li(9), one Ti(1), one Fe(3), and one Co(3) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li10Ti2Fe3Co3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.986
_cell_length_b   5.992
_cell_length_c   9.872
_cell_angle_alpha   90.150
_cell_angle_beta   90.311
_cell_angle_gamma   119.681
_symmetry_Int_Tables_number   1
_cell_volume   307.618
_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  0.000  0.998  0.970  1.0
  Li  Li1  1  0.992  1.000  0.473  1.0
  Li  Li2  1  0.804  0.603  0.039  1.0
  Li  Li3  1  0.602  0.799  0.541  1.0
  Li  Li4  1  0.812  0.195  0.041  1.0
  Li  Li5  1  0.670  0.330  0.254  1.0
  Li  Li6  1  0.193  0.806  0.538  1.0
  Li  Li7  1  0.330  0.665  0.753  1.0
  Li  Li8  1  0.392  0.195  0.038  1.0
  Li  Li9  1  0.197  0.391  0.538  1.0
  Ti  Ti10  1  0.350  0.682  0.014  1.0
  Ti  Ti11  1  0.683  0.346  0.518  1.0
  Fe  Fe12  1  0.170  0.836  0.273  1.0
  Fe  Fe13  1  0.179  0.344  0.270  1.0
  Fe  Fe14  1  0.342  0.174  0.770  1.0
  Co  Co15  1  0.660  0.832  0.275  1.0
  Co  Co16  1  0.832  0.661  0.775  1.0
  Co  Co17  1  0.834  0.170  0.774  1.0
  O  O18  1  0.998  0.015  0.163  1.0
  O  O19  1  0.005  0.001  0.665  1.0
  O  O20  1  0.817  0.652  0.412  1.0
  O  O21  1  0.655  0.821  0.909  1.0
  O  O22  1  0.493  0.978  0.138  1.0
  O  O23  1  0.978  0.490  0.640  1.0
  O  O24  1  0.486  0.502  0.145  1.0
  O  O25  1  0.330  0.655  0.392  1.0
  O  O26  1  0.501  0.482  0.646  1.0
  O  O27  1  0.661  0.329  0.890  1.0
  O  O28  1  0.827  0.179  0.405  1.0
  O  O29  1  0.180  0.832  0.904  1.0
  O  O30  1  0.024  0.508  0.146  1.0
  O  O31  1  0.502  0.021  0.645  1.0
  O  O32  1  0.332  0.174  0.400  1.0
  O  O33  1  0.181  0.340  0.901  1.0
[/CIF]
.
The material structure described by Li10Ti2Fe3Co3O16 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(16), and one O(4) atom to form LiO4 tetrahedra that share  a cornercorner with one Fe(1)O6 octahedra,  a cornercorner with one Fe(2)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra, corners with three equivalent Li(8)O6 octahedra, corners with three equivalent Ti(1)O6 octahedra,  an edgeedge with one Fe(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 20-62°. In the second Li site, Li(2) is bonded to one O(11), one O(15), one O(2), and one O(3) atom to form LiO4 tetrahedra that share  a cornercorner with one Fe(3)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra, corners with three equivalent Li(6)O6 octahedra, corners with three equivalent Ti(2)O6 octahedra,  an edgeedge with one Fe(1)O6 octahedra,  an edgeedge with one Fe(2)O6 octahedra, and  an edgeedge with one Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 17-60°. In the third Li site, Li(3) is bonded in a 6-coordinate geometry to one O(1), one O(10), one O(12), one O(13), one O(4), and one O(7) atom. In the fourth Li site, Li(4) is bonded in a 6-coordinate geometry to one O(11), one O(14), one O(2), one O(3), one O(8), and one O(9) atom. In the fifth Li site, Li(5) is bonded in a 6-coordinate geometry to one O(1), one O(10), one O(13), one O(16), one O(4), and one O(5) atom. In the sixth Li site, Li(6) is bonded to one O(11), one O(13), one O(15), one O(3), one O(5), and one O(7) atom to form LiO6 octahedra that share corners with three equivalent Ti(1)O6 octahedra, corners with three equivalent Li(2)O4 tetrahedra, edges with two equivalent Fe(1)O6 octahedra, edges with two equivalent Fe(2)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and  a faceface with one Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-9°. In the seventh Li site, Li(7) is bonded in a 6-coordinate geometry to one O(14), one O(15), one O(2), one O(3), one O(6), and one O(8) atom. In the eighth Li site, Li(8) is bonded to one O(12), one O(14), one O(16), one O(4), one O(6), and one O(9) atom to form LiO6 octahedra that share corners with three equivalent Ti(2)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra, edges with two equivalent Fe(3)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, and  a faceface with one Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-9°. In the ninth Li site, Li(9) is bonded in a 6-coordinate geometry to one O(1), one O(10), one O(12), one O(16), one O(5), and one O(7) atom. In the tenth Li site, Li(10) is bonded in a 6-coordinate geometry to one O(11), one O(15), one O(2), one O(6), one O(8), and one O(9) 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(4), one O(5), and one O(7) atom to form TiO6 octahedra that share corners with two equivalent Fe(3)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with two equivalent Co(3)O6 octahedra, corners with three equivalent Li(6)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one Fe(1)O6 octahedra,  an edgeedge with one Fe(2)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra, and  a faceface with one Li(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-50°. In the second Ti site, Ti(2) is bonded to one O(11), one O(14), one O(15), one O(3), one O(6), and one O(9) atom to form TiO6 octahedra that share corners with two equivalent Fe(1)O6 octahedra, corners with two equivalent Fe(2)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, corners with three equivalent Li(8)O6 octahedra, corners with three equivalent Li(2)O4 tetrahedra,  an edgeedge with one Fe(3)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra, and  a faceface with one Li(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-51°. There are three inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to one O(1), one O(13), one O(15), one O(3), one O(5), and one O(8) atom to form FeO6 octahedra that share corners with two equivalent Ti(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  an edgeedge with one Ti(1)O6 octahedra, edges with two equivalent Li(6)O6 octahedra, edges with two equivalent Fe(2)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 50-51°. In the second Fe site, Fe(2) is bonded to one O(1), one O(11), one O(13), one O(15), one O(7), and one O(8) atom to form FeO6 octahedra that share corners with two equivalent Ti(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  an edgeedge with one Ti(1)O6 octahedra, edges with two equivalent Li(6)O6 octahedra, edges with two equivalent Fe(1)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 49-50°. In the third Fe site, Fe(3) is bonded to one O(10), one O(12), one O(14), one O(16), one O(2), and one O(9) atom to form FeO6 octahedra that share corners with two equivalent Ti(1)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra,  an edgeedge with one Ti(2)O6 octahedra, edges with two equivalent Li(8)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, and  an edgeedge with one Li(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 48-49°. There are three inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(1), one O(11), one O(3), one O(5), one O(7), and one O(8) atom to form CoO6 octahedra that share corners with two equivalent Ti(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  an edgeedge with one Ti(1)O6 octahedra, edges with two equivalent Li(6)O6 octahedra, edges with two equivalent Fe(1)O6 octahedra, edges with two equivalent Fe(2)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 43-45°. In the second Co site, Co(2) is bonded to one O(10), one O(12), one O(2), one O(4), one O(6), and one O(9) atom to form CoO6 octahedra that share corners with two equivalent Ti(1)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra,  an edgeedge with one Ti(2)O6 octahedra, edges with two equivalent Li(8)O6 octahedra, edges with two equivalent Fe(3)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, and  an edgeedge with one Li(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 45-47°. In the third Co site, Co(3) is bonded to one O(10), one O(14), one O(16), one O(2), one O(4), and one O(6) atom to form CoO6 octahedra that share corners with two equivalent Ti(1)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra,  an edgeedge with one Ti(2)O6 octahedra, edges with two equivalent Li(8)O6 octahedra, edges with two equivalent Fe(3)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and  an edgeedge with one Li(1)O4 tetrahedra. The corner-sharing octahedral tilt angles are 50°. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a 7-coordinate geometry to one Li(1), one Li(3), one Li(5), one Li(9), one Fe(1), one Fe(2), and one Co(1) atom. In the second O site, O(2) is bonded in a 7-coordinate geometry to one Li(10), one Li(2), one Li(4), one Li(7), one Fe(3), one Co(2), and one Co(3) atom. In the third O site, O(3) is bonded in a 7-coordinate geometry to one Li(2), one Li(4), one Li(6), one Li(7), one Ti(2), one Fe(1), and one Co(1) atom. In the fourth O site, O(4) is bonded in a 7-coordinate geometry to one Li(1), one Li(3), one Li(5), one Li(8), one Ti(1), one Co(2), and one Co(3) atom. In the fifth O site, O(5) is bonded to one Li(5), one Li(6), one Li(9), one Ti(1), one Fe(1), and one Co(1) atom to form OLi3TiFeCo octahedra that share edges with two equivalent O(13)Li3TiFe2 octahedra, edges with two equivalent O(7)Li3TiFeCo octahedra,  an edgeedge with one O(8)Li3Fe2Co pentagonal pyramid, and  an edgeedge with one O(10)Li3FeCo2 pentagonal pyramid. In the sixth O site, O(6) is bonded to one Li(10), one Li(7), one Li(8), one Ti(2), one Co(2), and one Co(3) atom to form OLi3TiCo2 octahedra that share edges with two equivalent O(14)Li3TiFeCo octahedra, edges with two equivalent O(9)Li3TiFeCo octahedra,  an edgeedge with one O(8)Li3Fe2Co pentagonal pyramid, and  an edgeedge with one O(10)Li3FeCo2 pentagonal pyramid. In the seventh O site, O(7) is bonded to one Li(3), one Li(6), one Li(9), one Ti(1), one Fe(2), and one Co(1) atom to form OLi3TiFeCo octahedra that share edges with two equivalent O(13)Li3TiFe2 octahedra, edges with two equivalent O(5)Li3TiFeCo octahedra,  an edgeedge with one O(8)Li3Fe2Co pentagonal pyramid, and  an edgeedge with one O(10)Li3FeCo2 pentagonal pyramid. In the eighth O site, O(8) is bonded to one Li(10), one Li(4), one Li(7), one Fe(1), one Fe(2), and one Co(1) atom to form distorted OLi3Fe2Co pentagonal pyramids that share  an edgeedge with one O(6)Li3TiCo2 octahedra,  an edgeedge with one O(13)Li3TiFe2 octahedra,  an edgeedge with one O(14)Li3TiFeCo octahedra,  an edgeedge with one O(5)Li3TiFeCo octahedra,  an edgeedge with one O(7)Li3TiFeCo octahedra, and  an edgeedge with one O(9)Li3TiFeCo octahedra. In the ninth O site, O(9) is bonded to one Li(10), one Li(4), one Li(8), one Ti(2), one Fe(3), and one Co(2) atom to form OLi3TiFeCo octahedra that share edges with two equivalent O(6)Li3TiCo2 octahedra, edges with two equivalent O(14)Li3TiFeCo octahedra,  an edgeedge with one O(8)Li3Fe2Co pentagonal pyramid, and  an edgeedge with one O(10)Li3FeCo2 pentagonal pyramid. In the tenth O site, O(10) is bonded to one Li(3), one Li(5), one Li(9), one Fe(3), one Co(2), and one Co(3) atom to form distorted OLi3FeCo2 pentagonal pyramids that share  an edgeedge with one O(6)Li3TiCo2 octahedra,  an edgeedge with one O(13)Li3TiFe2 octahedra,  an edgeedge with one O(14)Li3TiFeCo octahedra,  an edgeedge with one O(5)Li3TiFeCo octahedra,  an edgeedge with one O(7)Li3TiFeCo octahedra, and  an edgeedge with one O(9)Li3TiFeCo octahedra. In the eleventh O site, O(11) is bonded in a 7-coordinate geometry to one Li(10), one Li(2), one Li(4), one Li(6), one Ti(2), one Fe(2), and one Co(1) atom. In the twelfth O site, O(12) is bonded in a 7-coordinate geometry to one Li(1), one Li(3), one Li(8), one Li(9), one Ti(1), one Fe(3), and one Co(2) atom. In the thirteenth O site, O(13) is bonded to one Li(3), one Li(5), one Li(6), one Ti(1), one Fe(1), and one Fe(2) atom to form OLi3TiFe2 octahedra that share edges with two equivalent O(5)Li3TiFeCo octahedra, edges with two equivalent O(7)Li3TiFeCo octahedra,  an edgeedge with one O(8)Li3Fe2Co pentagonal pyramid, and  an edgeedge with one O(10)Li3FeCo2 pentagonal pyramid. In the fourteenth O site, O(14) is bonded to one Li(4), one Li(7), one Li(8), one Ti(2), one Fe(3), and one Co(3) atom to form OLi3TiFeCo octahedra that share edges with two equivalent O(6)Li3TiCo2 octahedra, edges with two equivalent O(9)Li3TiFeCo octahedra,  an edgeedge with one O(8)Li3Fe2Co pentagonal pyramid, and  an edgeedge with one O(10)Li3FeCo2 pentagonal pyramid. In the fifteenth O site, O(15) is bonded in a 7-coordinate geometry to one Li(10), one Li(2), one Li(6), one Li(7), one Ti(2), one Fe(1), and one Fe(2) atom. In the sixteenth O site, O(16) is bonded in a 7-coordinate geometry to one Li(1), one Li(5), one Li(8), one Li(9), one Ti(1), one Fe(3), and one Co(3) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li10Ti2Fe3Co3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.986
_cell_length_b   5.992
_cell_length_c   9.872
_cell_angle_alpha   90.150
_cell_angle_beta   90.311
_cell_angle_gamma   119.681
_symmetry_Int_Tables_number   1
_cell_volume   307.618
_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  0.000  0.998  0.970  1.0
  Li  Li1  1  0.992  1.000  0.473  1.0
  Li  Li2  1  0.804  0.603  0.039  1.0
  Li  Li3  1  0.602  0.799  0.541  1.0
  Li  Li4  1  0.812  0.195  0.041  1.0
  Li  Li5  1  0.670  0.330  0.254  1.0
  Li  Li6  1  0.193  0.806  0.538  1.0
  Li  Li7  1  0.330  0.665  0.753  1.0
  Li  Li8  1  0.392  0.195  0.038  1.0
  Li  Li9  1  0.197  0.391  0.538  1.0
  Ti  Ti10  1  0.350  0.682  0.014  1.0
  Ti  Ti11  1  0.683  0.346  0.518  1.0
  Fe  Fe12  1  0.170  0.836  0.273  1.0
  Fe  Fe13  1  0.179  0.344  0.270  1.0
  Fe  Fe14  1  0.342  0.174  0.770  1.0
  Co  Co15  1  0.660  0.832  0.275  1.0
  Co  Co16  1  0.832  0.661  0.775  1.0
  Co  Co17  1  0.834  0.170  0.774  1.0
  O  O18  1  0.998  0.015  0.163  1.0
  O  O19  1  0.005  0.001  0.665  1.0
  O  O20  1  0.817  0.652  0.412  1.0
  O  O21  1  0.655  0.821  0.909  1.0
  O  O22  1  0.493  0.978  0.138  1.0
  O  O23  1  0.978  0.490  0.640  1.0
  O  O24  1  0.486  0.502  0.145  1.0
  O  O25  1  0.330  0.655  0.392  1.0
  O  O26  1  0.501  0.482  0.646  1.0
  O  O27  1  0.661  0.329  0.890  1.0
  O  O28  1  0.827  0.179  0.405  1.0
  O  O29  1  0.180  0.832  0.904  1.0
  O  O30  1  0.024  0.508  0.146  1.0
  O  O31  1  0.502  0.021  0.645  1.0
  O  O32  1  0.332  0.174  0.400  1.0
  O  O33  1  0.181  0.340  0.901  1.0
[/CIF]
.