The structure described by Li4Ti3Fe2Co3O16 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 Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-64°. In the second Li site, Li(2) is bonded in a distorted 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 distorted 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 Fe(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-63°. 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 Fe(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Fe(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 51-52°. 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 Fe(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Fe(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 51-53°. 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 Fe(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Fe(2)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and edges with two equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-53°. There are two inequivalent Fe sites. In the first Fe site, Fe(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 FeO6 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 49-55°. In the second Fe site, Fe(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 FeO6 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 51-53°. There are three inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(14), one O(16), one O(3), one O(4), one O(7), and one O(8) atom to form CoO6 octahedra that share corners with two equivalent Fe(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Fe(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 51-52°. 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 Fe(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Fe(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 range from 53-55°. In the third Co site, Co(3) is bonded to one O(10), one O(12), one O(13), one O(15), one O(5), and one O(6) atom to form CoO6 octahedra that share corners with two equivalent Fe(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Fe(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 49-51°. 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 Fe(1), and one Co(2) atom. In the second O site, O(2) is bonded to one Li(4), one Ti(1), one Ti(2), and one Fe(1) atom to form distorted OLiTi2Fe tetrahedra that share  a cornercorner with one O(7)LiTiFeCo tetrahedra, corners with two equivalent O(4)LiTi2Co tetrahedra,  a cornercorner with one O(8)LiTiFeCo trigonal pyramid,  an edgeedge with one O(7)LiTiFeCo tetrahedra,  an edgeedge with one O(3)LiTi2Co trigonal pyramid, and  an edgeedge with one O(8)LiTiFeCo trigonal pyramid. In the third O site, O(3) is bonded to one Li(1), one Ti(1), one Ti(2), and one Co(1) atom to form distorted OLiTi2Co trigonal pyramids that share  a cornercorner with one O(15)LiFeCo2 tetrahedra,  a cornercorner with one O(11)LiTiFeCo tetrahedra,  a cornercorner with one O(12)LiTiFeCo tetrahedra, corners with three equivalent O(4)LiTi2Co tetrahedra,  an edgeedge with one O(2)LiTi2Fe tetrahedra,  an edgeedge with one O(7)LiTiFeCo tetrahedra, and  an edgeedge with one O(8)LiTiFeCo trigonal pyramid. 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)LiTi2Fe tetrahedra, corners with two equivalent O(7)LiTiFeCo tetrahedra, corners with two equivalent O(8)LiTiFeCo trigonal pyramids, and corners with three equivalent O(3)LiTi2Co trigonal pyramids. 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)LiFeCo2 tetrahedra, corners with two equivalent O(11)LiTiFeCo tetrahedra, and corners with two equivalent O(12)LiTiFeCo tetrahedra. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to one Li(3), one Ti(3), one Fe(1), and one Co(3) atom. In the seventh O site, O(7) is bonded to one Li(4), one Ti(1), one Fe(1), and one Co(1) atom to form distorted OLiTiFeCo tetrahedra that share  a cornercorner with one O(2)LiTi2Fe tetrahedra, corners with two equivalent O(4)LiTi2Co tetrahedra,  a cornercorner with one O(8)LiTiFeCo trigonal pyramid,  an edgeedge with one O(2)LiTi2Fe tetrahedra,  an edgeedge with one O(3)LiTi2Co trigonal pyramid, and  an edgeedge with one O(8)LiTiFeCo trigonal pyramid. In the eighth O site, O(8) is bonded to one Li(4), one Ti(2), one Fe(1), and one Co(1) atom to form distorted OLiTiFeCo trigonal pyramids that share  a cornercorner with one O(2)LiTi2Fe tetrahedra,  a cornercorner with one O(7)LiTiFeCo tetrahedra, corners with two equivalent O(4)LiTi2Co tetrahedra,  an edgeedge with one O(2)LiTi2Fe tetrahedra,  an edgeedge with one O(7)LiTiFeCo tetrahedra, and  an edgeedge with one O(3)LiTi2Co trigonal pyramid. 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 Fe(2) atom. In the tenth O site, O(10) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), one Fe(1), one Co(2), and one Co(3) atom. In the eleventh O site, O(11) is bonded to one Li(1), one Ti(3), one Fe(2), and one Co(2) atom to form distorted OLiTiFeCo tetrahedra that share  a cornercorner with one O(15)LiFeCo2 tetrahedra,  a cornercorner with one O(12)LiTiFeCo tetrahedra, corners with two equivalent O(5)LiTiCo2 tetrahedra,  a cornercorner with one O(3)LiTi2Co trigonal pyramid,  an edgeedge with one O(15)LiFeCo2 tetrahedra, and  an edgeedge with one O(12)LiTiFeCo tetrahedra. In the twelfth O site, O(12) is bonded to one Li(1), one Ti(3), one Fe(2), and one Co(3) atom to form distorted OLiTiFeCo tetrahedra that share  a cornercorner with one O(15)LiFeCo2 tetrahedra,  a cornercorner with one O(11)LiTiFeCo tetrahedra, corners with two equivalent O(5)LiTiCo2 tetrahedra,  a cornercorner with one O(3)LiTi2Co trigonal pyramid,  an edgeedge with one O(15)LiFeCo2 tetrahedra, and  an edgeedge with one O(11)LiTiFeCo tetrahedra. In the thirteenth O site, O(13) is bonded in a 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 Fe(2), and one Co(1) atom. In the fifteenth O site, O(15) is bonded to one Li(1), one Fe(2), one Co(2), and one Co(3) atom to form distorted OLiFeCo2 tetrahedra that share  a cornercorner with one O(11)LiTiFeCo tetrahedra,  a cornercorner with one O(12)LiTiFeCo tetrahedra, corners with two equivalent O(5)LiTiCo2 tetrahedra,  a cornercorner with one O(3)LiTi2Co trigonal pyramid,  an edgeedge with one O(11)LiTiFeCo tetrahedra, and  an edgeedge with one O(12)LiTiFeCo 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 Fe(2), and one Co(1) atom. is represented by the CIF card [CIF]
data_Li4Ti3Fe2Co3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.823
_cell_length_b   5.849
_cell_length_c   9.584
_cell_angle_alpha   90.236
_cell_angle_beta   90.364
_cell_angle_gamma   119.007
_symmetry_Int_Tables_number   1
_cell_volume   285.430
_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  0.673  0.333  0.111  1.0
  Li  Li1  1  0.991  0.006  0.005  1.0
  Li  Li2  1  0.995  0.005  0.502  1.0
  Li  Li3  1  0.336  0.666  0.604  1.0
  Ti  Ti4  1  0.341  0.166  0.784  1.0
  Ti  Ti5  1  0.833  0.660  0.785  1.0
  Ti  Ti6  1  0.174  0.831  0.284  1.0
  Fe  Fe7  1  0.664  0.329  0.509  1.0
  Fe  Fe8  1  0.339  0.663  0.011  1.0
  Co  Co9  1  0.831  0.171  0.789  1.0
  Co  Co10  1  0.170  0.339  0.285  1.0
  Co  Co11  1  0.661  0.830  0.288  1.0
  O  O12  1  0.324  0.159  0.399  1.0
  O  O13  1  0.516  0.481  0.666  1.0
  O  O14  1  0.669  0.333  0.896  1.0
  O  O15  1  0.993  0.004  0.691  1.0
  O  O16  1  0.986  0.988  0.191  1.0
  O  O17  1  0.831  0.676  0.396  1.0
  O  O18  1  0.511  0.036  0.661  1.0
  O  O19  1  0.963  0.489  0.657  1.0
  O  O20  1  0.166  0.837  0.898  1.0
  O  O21  1  0.822  0.148  0.392  1.0
  O  O22  1  0.042  0.521  0.162  1.0
  O  O23  1  0.487  0.963  0.165  1.0
  O  O24  1  0.343  0.675  0.396  1.0
  O  O25  1  0.170  0.327  0.900  1.0
  O  O26  1  0.498  0.533  0.168  1.0
  O  O27  1  0.672  0.829  0.898  1.0
[/CIF]
.
The structure described by Li4Ti3Fe2Co3O16 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 Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-64°. In the second Li site, Li(2) is bonded in a distorted 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 distorted 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 Fe(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-63°. 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 Fe(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Fe(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 51-52°. 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 Fe(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Fe(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 51-53°. 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 Fe(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Fe(2)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and edges with two equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-53°. There are two inequivalent Fe sites. In the first Fe site, Fe(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 FeO6 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 49-55°. In the second Fe site, Fe(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 FeO6 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 51-53°. There are three inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(14), one O(16), one O(3), one O(4), one O(7), and one O(8) atom to form CoO6 octahedra that share corners with two equivalent Fe(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Fe(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 51-52°. 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 Fe(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Fe(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 range from 53-55°. In the third Co site, Co(3) is bonded to one O(10), one O(12), one O(13), one O(15), one O(5), and one O(6) atom to form CoO6 octahedra that share corners with two equivalent Fe(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Fe(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 49-51°. 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 Fe(1), and one Co(2) atom. In the second O site, O(2) is bonded to one Li(4), one Ti(1), one Ti(2), and one Fe(1) atom to form distorted OLiTi2Fe tetrahedra that share  a cornercorner with one O(7)LiTiFeCo tetrahedra, corners with two equivalent O(4)LiTi2Co tetrahedra,  a cornercorner with one O(8)LiTiFeCo trigonal pyramid,  an edgeedge with one O(7)LiTiFeCo tetrahedra,  an edgeedge with one O(3)LiTi2Co trigonal pyramid, and  an edgeedge with one O(8)LiTiFeCo trigonal pyramid. In the third O site, O(3) is bonded to one Li(1), one Ti(1), one Ti(2), and one Co(1) atom to form distorted OLiTi2Co trigonal pyramids that share  a cornercorner with one O(15)LiFeCo2 tetrahedra,  a cornercorner with one O(11)LiTiFeCo tetrahedra,  a cornercorner with one O(12)LiTiFeCo tetrahedra, corners with three equivalent O(4)LiTi2Co tetrahedra,  an edgeedge with one O(2)LiTi2Fe tetrahedra,  an edgeedge with one O(7)LiTiFeCo tetrahedra, and  an edgeedge with one O(8)LiTiFeCo trigonal pyramid. 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)LiTi2Fe tetrahedra, corners with two equivalent O(7)LiTiFeCo tetrahedra, corners with two equivalent O(8)LiTiFeCo trigonal pyramids, and corners with three equivalent O(3)LiTi2Co trigonal pyramids. 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)LiFeCo2 tetrahedra, corners with two equivalent O(11)LiTiFeCo tetrahedra, and corners with two equivalent O(12)LiTiFeCo tetrahedra. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to one Li(3), one Ti(3), one Fe(1), and one Co(3) atom. In the seventh O site, O(7) is bonded to one Li(4), one Ti(1), one Fe(1), and one Co(1) atom to form distorted OLiTiFeCo tetrahedra that share  a cornercorner with one O(2)LiTi2Fe tetrahedra, corners with two equivalent O(4)LiTi2Co tetrahedra,  a cornercorner with one O(8)LiTiFeCo trigonal pyramid,  an edgeedge with one O(2)LiTi2Fe tetrahedra,  an edgeedge with one O(3)LiTi2Co trigonal pyramid, and  an edgeedge with one O(8)LiTiFeCo trigonal pyramid. In the eighth O site, O(8) is bonded to one Li(4), one Ti(2), one Fe(1), and one Co(1) atom to form distorted OLiTiFeCo trigonal pyramids that share  a cornercorner with one O(2)LiTi2Fe tetrahedra,  a cornercorner with one O(7)LiTiFeCo tetrahedra, corners with two equivalent O(4)LiTi2Co tetrahedra,  an edgeedge with one O(2)LiTi2Fe tetrahedra,  an edgeedge with one O(7)LiTiFeCo tetrahedra, and  an edgeedge with one O(3)LiTi2Co trigonal pyramid. 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 Fe(2) atom. In the tenth O site, O(10) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), one Fe(1), one Co(2), and one Co(3) atom. In the eleventh O site, O(11) is bonded to one Li(1), one Ti(3), one Fe(2), and one Co(2) atom to form distorted OLiTiFeCo tetrahedra that share  a cornercorner with one O(15)LiFeCo2 tetrahedra,  a cornercorner with one O(12)LiTiFeCo tetrahedra, corners with two equivalent O(5)LiTiCo2 tetrahedra,  a cornercorner with one O(3)LiTi2Co trigonal pyramid,  an edgeedge with one O(15)LiFeCo2 tetrahedra, and  an edgeedge with one O(12)LiTiFeCo tetrahedra. In the twelfth O site, O(12) is bonded to one Li(1), one Ti(3), one Fe(2), and one Co(3) atom to form distorted OLiTiFeCo tetrahedra that share  a cornercorner with one O(15)LiFeCo2 tetrahedra,  a cornercorner with one O(11)LiTiFeCo tetrahedra, corners with two equivalent O(5)LiTiCo2 tetrahedra,  a cornercorner with one O(3)LiTi2Co trigonal pyramid,  an edgeedge with one O(15)LiFeCo2 tetrahedra, and  an edgeedge with one O(11)LiTiFeCo tetrahedra. In the thirteenth O site, O(13) is bonded in a 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 Fe(2), and one Co(1) atom. In the fifteenth O site, O(15) is bonded to one Li(1), one Fe(2), one Co(2), and one Co(3) atom to form distorted OLiFeCo2 tetrahedra that share  a cornercorner with one O(11)LiTiFeCo tetrahedra,  a cornercorner with one O(12)LiTiFeCo tetrahedra, corners with two equivalent O(5)LiTiCo2 tetrahedra,  a cornercorner with one O(3)LiTi2Co trigonal pyramid,  an edgeedge with one O(11)LiTiFeCo tetrahedra, and  an edgeedge with one O(12)LiTiFeCo 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 Fe(2), and one Co(1) atom. is represented by the CIF card [CIF]
data_Li4Ti3Fe2Co3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.823
_cell_length_b   5.849
_cell_length_c   9.584
_cell_angle_alpha   90.236
_cell_angle_beta   90.364
_cell_angle_gamma   119.007
_symmetry_Int_Tables_number   1
_cell_volume   285.430
_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  0.673  0.333  0.111  1.0
  Li  Li1  1  0.991  0.006  0.005  1.0
  Li  Li2  1  0.995  0.005  0.502  1.0
  Li  Li3  1  0.336  0.666  0.604  1.0
  Ti  Ti4  1  0.341  0.166  0.784  1.0
  Ti  Ti5  1  0.833  0.660  0.785  1.0
  Ti  Ti6  1  0.174  0.831  0.284  1.0
  Fe  Fe7  1  0.664  0.329  0.509  1.0
  Fe  Fe8  1  0.339  0.663  0.011  1.0
  Co  Co9  1  0.831  0.171  0.789  1.0
  Co  Co10  1  0.170  0.339  0.285  1.0
  Co  Co11  1  0.661  0.830  0.288  1.0
  O  O12  1  0.324  0.159  0.399  1.0
  O  O13  1  0.516  0.481  0.666  1.0
  O  O14  1  0.669  0.333  0.896  1.0
  O  O15  1  0.993  0.004  0.691  1.0
  O  O16  1  0.986  0.988  0.191  1.0
  O  O17  1  0.831  0.676  0.396  1.0
  O  O18  1  0.511  0.036  0.661  1.0
  O  O19  1  0.963  0.489  0.657  1.0
  O  O20  1  0.166  0.837  0.898  1.0
  O  O21  1  0.822  0.148  0.392  1.0
  O  O22  1  0.042  0.521  0.162  1.0
  O  O23  1  0.487  0.963  0.165  1.0
  O  O24  1  0.343  0.675  0.396  1.0
  O  O25  1  0.170  0.327  0.900  1.0
  O  O26  1  0.498  0.533  0.168  1.0
  O  O27  1  0.672  0.829  0.898  1.0
[/CIF]
.