The structure described by Li4Ti2V3Co3O16 is Hausmannite-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 V(1)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra, corners with two equivalent V(2)O6 octahedra, corners with two equivalent V(3)O6 octahedra, corners with two equivalent Co(3)O6 octahedra, and corners with three equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-66°. In the second Li site, Li(2) is bonded to one O(14), one O(16), one O(5), and one O(9) atom to form distorted LiO4 tetrahedra that share  a cornercorner with one V(2)O6 octahedra,  a cornercorner with one V(3)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra, corners with three equivalent Ti(2)O6 octahedra,  an edgeedge with one V(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 56-68°. In the third Li site, Li(3) is bonded to one O(1), one O(10), one O(4), and one O(6) atom to form distorted LiO4 tetrahedra that share  a cornercorner with one V(1)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra, corners with three equivalent Ti(1)O6 octahedra,  an edgeedge with one V(2)O6 octahedra,  an edgeedge with one V(3)O6 octahedra, and  an edgeedge with one Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-66°. 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 V(2)O6 octahedra,  a cornercorner with one V(3)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra, corners with two equivalent V(1)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, and corners with three equivalent Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-63°. There are two inequivalent Ti sites. In the first Ti site, Ti(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 distorted TiO6 octahedra that share corners with two equivalent V(2)O6 octahedra, corners with two equivalent V(3)O6 octahedra, corners with two equivalent Co(3)O6 octahedra, corners with three equivalent Li(3)O4 tetrahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one V(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 49-54°. In the second Ti site, Ti(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 distorted TiO6 octahedra that share corners with two equivalent V(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)O4 tetrahedra, corners with three equivalent Li(2)O4 tetrahedra,  an edgeedge with one V(2)O6 octahedra,  an edgeedge with one V(3)O6 octahedra, and  an edgeedge with one Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-54°. There are three inequivalent V sites. In the first V site, V(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 VO6 octahedra that share corners with two equivalent Ti(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Ti(1)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 51-53°. In the second V site, V(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 VO6 octahedra that share corners with two equivalent Ti(1)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Ti(2)O6 octahedra, edges with two equivalent V(3)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 53-54°. In the third V site, V(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 VO6 octahedra that share corners with two equivalent Ti(1)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Ti(2)O6 octahedra, edges with two equivalent V(2)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 49-53°. There are three inequivalent Co sites. In the first Co site, Co(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 CoO6 octahedra that share corners with two equivalent Ti(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Ti(1)O6 octahedra, edges with two equivalent V(1)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles are 50°. In the second Co site, Co(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 CoO6 octahedra that share corners with two equivalent Ti(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Ti(1)O6 octahedra, edges with two equivalent V(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 are 54°. In the third Co site, Co(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 CoO6 octahedra that share corners with two equivalent Ti(1)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Ti(2)O6 octahedra, edges with two equivalent V(2)O6 octahedra, edges with two equivalent V(3)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 50-54°. 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(1), one V(2), and one Co(3) atom. In the second O site, O(2) is bonded to one Li(4), one Ti(1), one Co(1), and one Co(2) atom to form OLiTiCo2 tetrahedra that share  a cornercorner with one O(7)LiTiVCo tetrahedra, corners with two equivalent O(4)LiVCo2 tetrahedra,  a cornercorner with one O(8)LiTiVCo trigonal pyramid,  an edgeedge with one O(7)LiTiVCo tetrahedra, and  an edgeedge with one O(8)LiTiVCo trigonal pyramid. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(1), one V(1), one Co(1), and one Co(2) atom. In the fourth O site, O(4) is bonded to one Li(3), one V(1), one Co(1), and one Co(2) atom to form OLiVCo2 tetrahedra that share corners with two equivalent O(2)LiTiCo2 tetrahedra, corners with two equivalent O(7)LiTiVCo tetrahedra, and corners with two equivalent O(8)LiTiVCo trigonal pyramids. In the fifth O site, O(5) is bonded to one Li(2), one V(2), one V(3), and one Co(3) atom to form OLiV2Co tetrahedra that share corners with two equivalent O(11)LiTiVCo tetrahedra, corners with two equivalent O(15)LiTiV2 trigonal pyramids, and corners with two equivalent O(12)LiTiVCo trigonal pyramids. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to one Li(3), one Ti(1), one V(3), and one Co(3) atom. In the seventh O site, O(7) is bonded to one Li(4), one Ti(1), one V(1), and one Co(1) atom to form distorted OLiTiVCo tetrahedra that share  a cornercorner with one O(2)LiTiCo2 tetrahedra, corners with two equivalent O(4)LiVCo2 tetrahedra,  a cornercorner with one O(8)LiTiVCo trigonal pyramid,  an edgeedge with one O(2)LiTiCo2 tetrahedra, and  an edgeedge with one O(8)LiTiVCo trigonal pyramid. In the eighth O site, O(8) is bonded to one Li(4), one Ti(1), one V(1), and one Co(2) atom to form distorted OLiTiVCo trigonal pyramids that share  a cornercorner with one O(2)LiTiCo2 tetrahedra,  a cornercorner with one O(7)LiTiVCo tetrahedra, corners with two equivalent O(4)LiVCo2 tetrahedra,  an edgeedge with one O(2)LiTiCo2 tetrahedra, and  an edgeedge with one O(7)LiTiVCo tetrahedra. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Li(2), one Ti(2), one Co(1), and one Co(2) atom. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to one Li(3), one Ti(1), one V(2), and one V(3) atom. In the eleventh O site, O(11) is bonded to one Li(1), one Ti(2), one V(2), and one Co(3) atom to form distorted OLiTiVCo tetrahedra that share corners with two equivalent O(5)LiV2Co tetrahedra,  a cornercorner with one O(15)LiTiV2 trigonal pyramid,  a cornercorner with one O(12)LiTiVCo trigonal pyramid,  an edgeedge with one O(15)LiTiV2 trigonal pyramid, and  an edgeedge with one O(12)LiTiVCo trigonal pyramid. In the twelfth O site, O(12) is bonded to one Li(1), one Ti(2), one V(3), and one Co(3) atom to form distorted OLiTiVCo trigonal pyramids that share  a cornercorner with one O(11)LiTiVCo tetrahedra, corners with two equivalent O(5)LiV2Co tetrahedra,  a cornercorner with one O(15)LiTiV2 trigonal pyramid,  an edgeedge with one O(11)LiTiVCo tetrahedra, and  an edgeedge with one O(15)LiTiV2 trigonal pyramid. In the thirteenth O site, O(13) is bonded in a rectangular see-saw-like geometry to one Li(4), one V(2), one V(3), 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(2), one V(1), and one Co(1) atom. In the fifteenth O site, O(15) is bonded to one Li(1), one Ti(2), one V(2), and one V(3) atom to form distorted OLiTiV2 trigonal pyramids that share  a cornercorner with one O(11)LiTiVCo tetrahedra, corners with two equivalent O(5)LiV2Co tetrahedra,  a cornercorner with one O(12)LiTiVCo trigonal pyramid,  an edgeedge with one O(11)LiTiVCo tetrahedra, and  an edgeedge with one O(12)LiTiVCo trigonal pyramid. In the sixteenth O site, O(16) is bonded in a rectangular see-saw-like geometry to one Li(2), one Ti(2), one V(1), and one Co(2) atom. is represented by the CIF file [CIF]
data_Li4Ti2V3Co3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.883
_cell_length_b   5.894
_cell_length_c   9.586
_cell_angle_alpha   89.665
_cell_angle_beta   89.607
_cell_angle_gamma   60.432
_symmetry_Int_Tables_number   1
_cell_volume   289.117
_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  0.333  0.325  0.897  1.0
  Li  Li1  1  0.004  0.001  0.993  1.0
  Li  Li2  1  0.998  0.003  0.495  1.0
  Li  Li3  1  0.671  0.667  0.393  1.0
  Ti  Ti4  1  0.313  0.346  0.499  1.0
  Ti  Ti5  1  0.669  0.671  0.001  1.0
  V  V6  1  0.659  0.171  0.223  1.0
  V  V7  1  0.819  0.827  0.719  1.0
  V  V8  1  0.805  0.349  0.719  1.0
  Co  Co9  1  0.177  0.657  0.215  1.0
  Co  Co10  1  0.172  0.176  0.214  1.0
  Co  Co11  1  0.337  0.836  0.710  1.0
  O  O12  1  0.164  0.665  0.590  1.0
  O  O13  1  0.045  0.478  0.342  1.0
  O  O14  1  0.355  0.314  0.105  1.0
  O  O15  1  0.992  0.013  0.303  1.0
  O  O16  1  0.982  0.001  0.804  1.0
  O  O17  1  0.148  0.187  0.597  1.0
  O  O18  1  0.484  0.479  0.339  1.0
  O  O19  1  0.489  0.040  0.342  1.0
  O  O20  1  0.339  0.825  0.092  1.0
  O  O21  1  0.660  0.174  0.598  1.0
  O  O22  1  0.532  0.953  0.848  1.0
  O  O23  1  0.534  0.497  0.839  1.0
  O  O24  1  0.692  0.665  0.601  1.0
  O  O25  1  0.839  0.826  0.099  1.0
  O  O26  1  0.962  0.519  0.840  1.0
  O  O27  1  0.829  0.337  0.092  1.0
[/CIF]
.
The structure described by Li4Ti2V3Co3O16 is Hausmannite-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 V(1)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra, corners with two equivalent V(2)O6 octahedra, corners with two equivalent V(3)O6 octahedra, corners with two equivalent Co(3)O6 octahedra, and corners with three equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-66°. In the second Li site, Li(2) is bonded to one O(14), one O(16), one O(5), and one O(9) atom to form distorted LiO4 tetrahedra that share  a cornercorner with one V(2)O6 octahedra,  a cornercorner with one V(3)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra, corners with three equivalent Ti(2)O6 octahedra,  an edgeedge with one V(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 56-68°. In the third Li site, Li(3) is bonded to one O(1), one O(10), one O(4), and one O(6) atom to form distorted LiO4 tetrahedra that share  a cornercorner with one V(1)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra, corners with three equivalent Ti(1)O6 octahedra,  an edgeedge with one V(2)O6 octahedra,  an edgeedge with one V(3)O6 octahedra, and  an edgeedge with one Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-66°. 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 V(2)O6 octahedra,  a cornercorner with one V(3)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra, corners with two equivalent V(1)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, and corners with three equivalent Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-63°. There are two inequivalent Ti sites. In the first Ti site, Ti(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 distorted TiO6 octahedra that share corners with two equivalent V(2)O6 octahedra, corners with two equivalent V(3)O6 octahedra, corners with two equivalent Co(3)O6 octahedra, corners with three equivalent Li(3)O4 tetrahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one V(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 49-54°. In the second Ti site, Ti(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 distorted TiO6 octahedra that share corners with two equivalent V(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)O4 tetrahedra, corners with three equivalent Li(2)O4 tetrahedra,  an edgeedge with one V(2)O6 octahedra,  an edgeedge with one V(3)O6 octahedra, and  an edgeedge with one Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-54°. There are three inequivalent V sites. In the first V site, V(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 VO6 octahedra that share corners with two equivalent Ti(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Ti(1)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 51-53°. In the second V site, V(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 VO6 octahedra that share corners with two equivalent Ti(1)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Ti(2)O6 octahedra, edges with two equivalent V(3)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 53-54°. In the third V site, V(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 VO6 octahedra that share corners with two equivalent Ti(1)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Ti(2)O6 octahedra, edges with two equivalent V(2)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 49-53°. There are three inequivalent Co sites. In the first Co site, Co(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 CoO6 octahedra that share corners with two equivalent Ti(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Ti(1)O6 octahedra, edges with two equivalent V(1)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles are 50°. In the second Co site, Co(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 CoO6 octahedra that share corners with two equivalent Ti(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Ti(1)O6 octahedra, edges with two equivalent V(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 are 54°. In the third Co site, Co(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 CoO6 octahedra that share corners with two equivalent Ti(1)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Ti(2)O6 octahedra, edges with two equivalent V(2)O6 octahedra, edges with two equivalent V(3)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 50-54°. 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(1), one V(2), and one Co(3) atom. In the second O site, O(2) is bonded to one Li(4), one Ti(1), one Co(1), and one Co(2) atom to form OLiTiCo2 tetrahedra that share  a cornercorner with one O(7)LiTiVCo tetrahedra, corners with two equivalent O(4)LiVCo2 tetrahedra,  a cornercorner with one O(8)LiTiVCo trigonal pyramid,  an edgeedge with one O(7)LiTiVCo tetrahedra, and  an edgeedge with one O(8)LiTiVCo trigonal pyramid. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(1), one V(1), one Co(1), and one Co(2) atom. In the fourth O site, O(4) is bonded to one Li(3), one V(1), one Co(1), and one Co(2) atom to form OLiVCo2 tetrahedra that share corners with two equivalent O(2)LiTiCo2 tetrahedra, corners with two equivalent O(7)LiTiVCo tetrahedra, and corners with two equivalent O(8)LiTiVCo trigonal pyramids. In the fifth O site, O(5) is bonded to one Li(2), one V(2), one V(3), and one Co(3) atom to form OLiV2Co tetrahedra that share corners with two equivalent O(11)LiTiVCo tetrahedra, corners with two equivalent O(15)LiTiV2 trigonal pyramids, and corners with two equivalent O(12)LiTiVCo trigonal pyramids. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to one Li(3), one Ti(1), one V(3), and one Co(3) atom. In the seventh O site, O(7) is bonded to one Li(4), one Ti(1), one V(1), and one Co(1) atom to form distorted OLiTiVCo tetrahedra that share  a cornercorner with one O(2)LiTiCo2 tetrahedra, corners with two equivalent O(4)LiVCo2 tetrahedra,  a cornercorner with one O(8)LiTiVCo trigonal pyramid,  an edgeedge with one O(2)LiTiCo2 tetrahedra, and  an edgeedge with one O(8)LiTiVCo trigonal pyramid. In the eighth O site, O(8) is bonded to one Li(4), one Ti(1), one V(1), and one Co(2) atom to form distorted OLiTiVCo trigonal pyramids that share  a cornercorner with one O(2)LiTiCo2 tetrahedra,  a cornercorner with one O(7)LiTiVCo tetrahedra, corners with two equivalent O(4)LiVCo2 tetrahedra,  an edgeedge with one O(2)LiTiCo2 tetrahedra, and  an edgeedge with one O(7)LiTiVCo tetrahedra. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Li(2), one Ti(2), one Co(1), and one Co(2) atom. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to one Li(3), one Ti(1), one V(2), and one V(3) atom. In the eleventh O site, O(11) is bonded to one Li(1), one Ti(2), one V(2), and one Co(3) atom to form distorted OLiTiVCo tetrahedra that share corners with two equivalent O(5)LiV2Co tetrahedra,  a cornercorner with one O(15)LiTiV2 trigonal pyramid,  a cornercorner with one O(12)LiTiVCo trigonal pyramid,  an edgeedge with one O(15)LiTiV2 trigonal pyramid, and  an edgeedge with one O(12)LiTiVCo trigonal pyramid. In the twelfth O site, O(12) is bonded to one Li(1), one Ti(2), one V(3), and one Co(3) atom to form distorted OLiTiVCo trigonal pyramids that share  a cornercorner with one O(11)LiTiVCo tetrahedra, corners with two equivalent O(5)LiV2Co tetrahedra,  a cornercorner with one O(15)LiTiV2 trigonal pyramid,  an edgeedge with one O(11)LiTiVCo tetrahedra, and  an edgeedge with one O(15)LiTiV2 trigonal pyramid. In the thirteenth O site, O(13) is bonded in a rectangular see-saw-like geometry to one Li(4), one V(2), one V(3), 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(2), one V(1), and one Co(1) atom. In the fifteenth O site, O(15) is bonded to one Li(1), one Ti(2), one V(2), and one V(3) atom to form distorted OLiTiV2 trigonal pyramids that share  a cornercorner with one O(11)LiTiVCo tetrahedra, corners with two equivalent O(5)LiV2Co tetrahedra,  a cornercorner with one O(12)LiTiVCo trigonal pyramid,  an edgeedge with one O(11)LiTiVCo tetrahedra, and  an edgeedge with one O(12)LiTiVCo trigonal pyramid. In the sixteenth O site, O(16) is bonded in a rectangular see-saw-like geometry to one Li(2), one Ti(2), one V(1), and one Co(2) atom. is represented by the CIF file [CIF]
data_Li4Ti2V3Co3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.883
_cell_length_b   5.894
_cell_length_c   9.586
_cell_angle_alpha   89.665
_cell_angle_beta   89.607
_cell_angle_gamma   60.432
_symmetry_Int_Tables_number   1
_cell_volume   289.117
_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  0.333  0.325  0.897  1.0
  Li  Li1  1  0.004  0.001  0.993  1.0
  Li  Li2  1  0.998  0.003  0.495  1.0
  Li  Li3  1  0.671  0.667  0.393  1.0
  Ti  Ti4  1  0.313  0.346  0.499  1.0
  Ti  Ti5  1  0.669  0.671  0.001  1.0
  V  V6  1  0.659  0.171  0.223  1.0
  V  V7  1  0.819  0.827  0.719  1.0
  V  V8  1  0.805  0.349  0.719  1.0
  Co  Co9  1  0.177  0.657  0.215  1.0
  Co  Co10  1  0.172  0.176  0.214  1.0
  Co  Co11  1  0.337  0.836  0.710  1.0
  O  O12  1  0.164  0.665  0.590  1.0
  O  O13  1  0.045  0.478  0.342  1.0
  O  O14  1  0.355  0.314  0.105  1.0
  O  O15  1  0.992  0.013  0.303  1.0
  O  O16  1  0.982  0.001  0.804  1.0
  O  O17  1  0.148  0.187  0.597  1.0
  O  O18  1  0.484  0.479  0.339  1.0
  O  O19  1  0.489  0.040  0.342  1.0
  O  O20  1  0.339  0.825  0.092  1.0
  O  O21  1  0.660  0.174  0.598  1.0
  O  O22  1  0.532  0.953  0.848  1.0
  O  O23  1  0.534  0.497  0.839  1.0
  O  O24  1  0.692  0.665  0.601  1.0
  O  O25  1  0.839  0.826  0.099  1.0
  O  O26  1  0.962  0.519  0.840  1.0
  O  O27  1  0.829  0.337  0.092  1.0
[/CIF]
.