The structure described by Li4Nb2Co3Ni3O16 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 Co(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Ni(1)O6 octahedra, corners with two equivalent Co(3)O6 octahedra, corners with two equivalent Ni(2)O6 octahedra, corners with two equivalent Ni(3)O6 octahedra, and corners with three equivalent Nb(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-66°. 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 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 Co(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Ni(1)O6 octahedra, corners with three equivalent Nb(1)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra, and  an edgeedge with one Ni(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-69°. 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 Co(3)O6 octahedra,  a cornercorner with one Ni(2)O6 octahedra,  a cornercorner with one Ni(3)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with two equivalent Ni(1)O6 octahedra, and corners with three equivalent Nb(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-65°. There are two inequivalent Nb sites. In the first Nb site, Nb(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 NbO6 octahedra that share corners with two equivalent Co(3)O6 octahedra, corners with two equivalent Ni(2)O6 octahedra, corners with two equivalent Ni(3)O6 octahedra, corners with three equivalent Li(3)O4 tetrahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, and  an edgeedge with one Ni(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-55°. In the second Nb site, Nb(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 NbO6 octahedra that share corners with two equivalent Co(1)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with two equivalent Ni(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra, and  an edgeedge with one Ni(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-58°. 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 Nb(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 Nb(1)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and edges with two equivalent Ni(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-51°. 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 Nb(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 Nb(1)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and edges with two equivalent Ni(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-51°. 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 Nb(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Nb(2)O6 octahedra, edges with two equivalent Ni(2)O6 octahedra, edges with two equivalent Ni(3)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 49-50°. There are three inequivalent Ni sites. In the first Ni site, Ni(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 NiO6 octahedra that share corners with two equivalent Nb(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 Nb(1)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and edges with two equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-58°. In the second Ni site, Ni(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 NiO6 octahedra that share corners with two equivalent Nb(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Nb(2)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, edges with two equivalent Ni(3)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 53-55°. In the third Ni site, Ni(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 NiO6 octahedra that share corners with two equivalent Nb(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Nb(2)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, edges with two equivalent Ni(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 52-53°. 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 Nb(1), one Co(3), and one Ni(2) atom. In the second O site, O(2) is bonded to one Li(4), one Nb(1), one Co(1), and one Co(2) atom to form distorted OLiNbCo2 tetrahedra that share  a cornercorner with one O(13)LiCoNi2 tetrahedra,  a cornercorner with one O(7)LiNbCoNi tetrahedra,  a cornercorner with one O(8)LiNbCoNi tetrahedra, corners with two equivalent O(4)LiCo2Ni tetrahedra,  an edgeedge with one O(7)LiNbCoNi tetrahedra,  an edgeedge with one O(8)LiNbCoNi tetrahedra, and  an edgeedge with one O(3)LiCo2Ni trigonal pyramid. In the third O site, O(3) is bonded to one Li(1), one Co(1), one Co(2), and one Ni(1) atom to form distorted OLiCo2Ni trigonal pyramids that share  a cornercorner with one O(15)LiNbNi2 tetrahedra, corners with three equivalent O(4)LiCo2Ni tetrahedra,  a cornercorner with one O(11)LiNbCoNi trigonal pyramid,  a cornercorner with one O(12)LiNbCoNi trigonal pyramid,  an edgeedge with one O(2)LiNbCo2 tetrahedra,  an edgeedge with one O(7)LiNbCoNi tetrahedra, and  an edgeedge with one O(8)LiNbCoNi tetrahedra. In the fourth O site, O(4) is bonded to one Li(3), one Co(1), one Co(2), and one Ni(1) atom to form OLiCo2Ni tetrahedra that share corners with two equivalent O(2)LiNbCo2 tetrahedra, corners with two equivalent O(7)LiNbCoNi tetrahedra, corners with two equivalent O(8)LiNbCoNi tetrahedra, and corners with three equivalent O(3)LiCo2Ni trigonal pyramids. In the fifth O site, O(5) is bonded to one Li(2), one Co(3), one Ni(2), and one Ni(3) atom to form OLiCoNi2 tetrahedra that share corners with two equivalent O(15)LiNbNi2 tetrahedra, corners with three equivalent O(13)LiCoNi2 tetrahedra, corners with two equivalent O(11)LiNbCoNi trigonal pyramids, and corners with two equivalent O(12)LiNbCoNi trigonal pyramids. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to one Li(3), one Nb(1), one Co(3), and one Ni(3) atom. In the seventh O site, O(7) is bonded to one Li(4), one Nb(1), one Co(1), and one Ni(1) atom to form distorted OLiNbCoNi tetrahedra that share  a cornercorner with one O(13)LiCoNi2 tetrahedra,  a cornercorner with one O(2)LiNbCo2 tetrahedra,  a cornercorner with one O(8)LiNbCoNi tetrahedra, corners with two equivalent O(4)LiCo2Ni tetrahedra,  an edgeedge with one O(2)LiNbCo2 tetrahedra,  an edgeedge with one O(8)LiNbCoNi tetrahedra, and  an edgeedge with one O(3)LiCo2Ni trigonal pyramid. In the eighth O site, O(8) is bonded to one Li(4), one Nb(1), one Co(2), and one Ni(1) atom to form distorted OLiNbCoNi tetrahedra that share  a cornercorner with one O(13)LiCoNi2 tetrahedra,  a cornercorner with one O(2)LiNbCo2 tetrahedra,  a cornercorner with one O(7)LiNbCoNi tetrahedra, corners with two equivalent O(4)LiCo2Ni tetrahedra,  an edgeedge with one O(2)LiNbCo2 tetrahedra,  an edgeedge with one O(7)LiNbCoNi tetrahedra, and  an edgeedge with one O(3)LiCo2Ni trigonal pyramid. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Li(2), one Nb(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 Nb(1), one Ni(2), and one Ni(3) atom. In the eleventh O site, O(11) is bonded to one Li(1), one Nb(2), one Co(3), and one Ni(2) atom to form distorted OLiNbCoNi trigonal pyramids that share  a cornercorner with one O(15)LiNbNi2 tetrahedra, corners with two equivalent O(5)LiCoNi2 tetrahedra,  a cornercorner with one O(3)LiCo2Ni trigonal pyramid,  a cornercorner with one O(12)LiNbCoNi trigonal pyramid,  an edgeedge with one O(13)LiCoNi2 tetrahedra,  an edgeedge with one O(15)LiNbNi2 tetrahedra, and  an edgeedge with one O(12)LiNbCoNi trigonal pyramid. In the twelfth O site, O(12) is bonded to one Li(1), one Nb(2), one Co(3), and one Ni(3) atom to form distorted OLiNbCoNi trigonal pyramids that share  a cornercorner with one O(15)LiNbNi2 tetrahedra, corners with two equivalent O(5)LiCoNi2 tetrahedra,  a cornercorner with one O(3)LiCo2Ni trigonal pyramid,  a cornercorner with one O(11)LiNbCoNi trigonal pyramid,  an edgeedge with one O(13)LiCoNi2 tetrahedra,  an edgeedge with one O(15)LiNbNi2 tetrahedra, and  an edgeedge with one O(11)LiNbCoNi trigonal pyramid. In the thirteenth O site, O(13) is bonded to one Li(4), one Co(3), one Ni(2), and one Ni(3) atom to form distorted OLiCoNi2 tetrahedra that share  a cornercorner with one O(2)LiNbCo2 tetrahedra,  a cornercorner with one O(7)LiNbCoNi tetrahedra,  a cornercorner with one O(8)LiNbCoNi tetrahedra, corners with three equivalent O(5)LiCoNi2 tetrahedra,  an edgeedge with one O(15)LiNbNi2 tetrahedra,  an edgeedge with one O(11)LiNbCoNi trigonal pyramid, and  an edgeedge with one O(12)LiNbCoNi trigonal pyramid. In the fourteenth O site, O(14) is bonded in a rectangular see-saw-like geometry to one Li(2), one Nb(2), one Co(1), and one Ni(1) atom. In the fifteenth O site, O(15) is bonded to one Li(1), one Nb(2), one Ni(2), and one Ni(3) atom to form distorted OLiNbNi2 tetrahedra that share corners with two equivalent O(5)LiCoNi2 tetrahedra,  a cornercorner with one O(3)LiCo2Ni trigonal pyramid,  a cornercorner with one O(11)LiNbCoNi trigonal pyramid,  a cornercorner with one O(12)LiNbCoNi trigonal pyramid,  an edgeedge with one O(13)LiCoNi2 tetrahedra,  an edgeedge with one O(11)LiNbCoNi trigonal pyramid, and  an edgeedge with one O(12)LiNbCoNi trigonal pyramid. In the sixteenth O site, O(16) is bonded in a rectangular see-saw-like geometry to one Li(2), one Nb(2), one Co(2), and one Ni(1) atom. is represented by the CIF file [CIF]
data_Li4Nb2Co3Ni3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.866
_cell_length_b   5.790
_cell_length_c   9.519
_cell_angle_alpha   90.289
_cell_angle_beta   91.626
_cell_angle_gamma   119.427
_symmetry_Int_Tables_number   1
_cell_volume   281.383
_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  0.321  0.661  0.899  1.0
  Li  Li1  1  0.004  0.002  0.993  1.0
  Li  Li2  1  0.008  0.003  0.493  1.0
  Li  Li3  1  0.664  0.335  0.396  1.0
  Nb  Nb4  1  0.338  0.663  0.497  1.0
  Nb  Nb5  1  0.654  0.325  0.995  1.0
  Co  Co6  1  0.174  0.833  0.217  1.0
  Co  Co7  1  0.170  0.340  0.215  1.0
  Co  Co8  1  0.342  0.171  0.717  1.0
  Ni  Ni9  1  0.662  0.830  0.214  1.0
  Ni  Ni10  1  0.833  0.663  0.716  1.0
  Ni  Ni11  1  0.833  0.170  0.716  1.0
  O  O12  1  0.181  0.845  0.594  1.0
  O  O13  1  0.038  0.521  0.331  1.0
  O  O14  1  0.307  0.658  0.113  1.0
  O  O15  1  0.022  0.007  0.305  1.0
  O  O16  1  0.020  0.011  0.804  1.0
  O  O17  1  0.179  0.334  0.595  1.0
  O  O18  1  0.466  0.965  0.336  1.0
  O  O19  1  0.471  0.510  0.338  1.0
  O  O20  1  0.328  0.163  0.105  1.0
  O  O21  1  0.682  0.843  0.589  1.0
  O  O22  1  0.501  0.471  0.843  1.0
  O  O23  1  0.500  0.030  0.843  1.0
  O  O24  1  0.650  0.323  0.616  1.0
  O  O25  1  0.848  0.673  0.093  1.0
  O  O26  1  0.958  0.478  0.842  1.0
  O  O27  1  0.845  0.173  0.093  1.0
[/CIF]
.
The structure described by Li4Nb2Co3Ni3O16 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 Co(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Ni(1)O6 octahedra, corners with two equivalent Co(3)O6 octahedra, corners with two equivalent Ni(2)O6 octahedra, corners with two equivalent Ni(3)O6 octahedra, and corners with three equivalent Nb(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-66°. 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 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 Co(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Ni(1)O6 octahedra, corners with three equivalent Nb(1)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra, and  an edgeedge with one Ni(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-69°. 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 Co(3)O6 octahedra,  a cornercorner with one Ni(2)O6 octahedra,  a cornercorner with one Ni(3)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with two equivalent Ni(1)O6 octahedra, and corners with three equivalent Nb(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-65°. There are two inequivalent Nb sites. In the first Nb site, Nb(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 NbO6 octahedra that share corners with two equivalent Co(3)O6 octahedra, corners with two equivalent Ni(2)O6 octahedra, corners with two equivalent Ni(3)O6 octahedra, corners with three equivalent Li(3)O4 tetrahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, and  an edgeedge with one Ni(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-55°. In the second Nb site, Nb(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 NbO6 octahedra that share corners with two equivalent Co(1)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with two equivalent Ni(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra, and  an edgeedge with one Ni(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-58°. 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 Nb(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 Nb(1)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and edges with two equivalent Ni(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-51°. 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 Nb(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 Nb(1)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and edges with two equivalent Ni(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-51°. 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 Nb(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Nb(2)O6 octahedra, edges with two equivalent Ni(2)O6 octahedra, edges with two equivalent Ni(3)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 49-50°. There are three inequivalent Ni sites. In the first Ni site, Ni(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 NiO6 octahedra that share corners with two equivalent Nb(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 Nb(1)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and edges with two equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-58°. In the second Ni site, Ni(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 NiO6 octahedra that share corners with two equivalent Nb(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Nb(2)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, edges with two equivalent Ni(3)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 53-55°. In the third Ni site, Ni(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 NiO6 octahedra that share corners with two equivalent Nb(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Nb(2)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, edges with two equivalent Ni(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 52-53°. 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 Nb(1), one Co(3), and one Ni(2) atom. In the second O site, O(2) is bonded to one Li(4), one Nb(1), one Co(1), and one Co(2) atom to form distorted OLiNbCo2 tetrahedra that share  a cornercorner with one O(13)LiCoNi2 tetrahedra,  a cornercorner with one O(7)LiNbCoNi tetrahedra,  a cornercorner with one O(8)LiNbCoNi tetrahedra, corners with two equivalent O(4)LiCo2Ni tetrahedra,  an edgeedge with one O(7)LiNbCoNi tetrahedra,  an edgeedge with one O(8)LiNbCoNi tetrahedra, and  an edgeedge with one O(3)LiCo2Ni trigonal pyramid. In the third O site, O(3) is bonded to one Li(1), one Co(1), one Co(2), and one Ni(1) atom to form distorted OLiCo2Ni trigonal pyramids that share  a cornercorner with one O(15)LiNbNi2 tetrahedra, corners with three equivalent O(4)LiCo2Ni tetrahedra,  a cornercorner with one O(11)LiNbCoNi trigonal pyramid,  a cornercorner with one O(12)LiNbCoNi trigonal pyramid,  an edgeedge with one O(2)LiNbCo2 tetrahedra,  an edgeedge with one O(7)LiNbCoNi tetrahedra, and  an edgeedge with one O(8)LiNbCoNi tetrahedra. In the fourth O site, O(4) is bonded to one Li(3), one Co(1), one Co(2), and one Ni(1) atom to form OLiCo2Ni tetrahedra that share corners with two equivalent O(2)LiNbCo2 tetrahedra, corners with two equivalent O(7)LiNbCoNi tetrahedra, corners with two equivalent O(8)LiNbCoNi tetrahedra, and corners with three equivalent O(3)LiCo2Ni trigonal pyramids. In the fifth O site, O(5) is bonded to one Li(2), one Co(3), one Ni(2), and one Ni(3) atom to form OLiCoNi2 tetrahedra that share corners with two equivalent O(15)LiNbNi2 tetrahedra, corners with three equivalent O(13)LiCoNi2 tetrahedra, corners with two equivalent O(11)LiNbCoNi trigonal pyramids, and corners with two equivalent O(12)LiNbCoNi trigonal pyramids. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to one Li(3), one Nb(1), one Co(3), and one Ni(3) atom. In the seventh O site, O(7) is bonded to one Li(4), one Nb(1), one Co(1), and one Ni(1) atom to form distorted OLiNbCoNi tetrahedra that share  a cornercorner with one O(13)LiCoNi2 tetrahedra,  a cornercorner with one O(2)LiNbCo2 tetrahedra,  a cornercorner with one O(8)LiNbCoNi tetrahedra, corners with two equivalent O(4)LiCo2Ni tetrahedra,  an edgeedge with one O(2)LiNbCo2 tetrahedra,  an edgeedge with one O(8)LiNbCoNi tetrahedra, and  an edgeedge with one O(3)LiCo2Ni trigonal pyramid. In the eighth O site, O(8) is bonded to one Li(4), one Nb(1), one Co(2), and one Ni(1) atom to form distorted OLiNbCoNi tetrahedra that share  a cornercorner with one O(13)LiCoNi2 tetrahedra,  a cornercorner with one O(2)LiNbCo2 tetrahedra,  a cornercorner with one O(7)LiNbCoNi tetrahedra, corners with two equivalent O(4)LiCo2Ni tetrahedra,  an edgeedge with one O(2)LiNbCo2 tetrahedra,  an edgeedge with one O(7)LiNbCoNi tetrahedra, and  an edgeedge with one O(3)LiCo2Ni trigonal pyramid. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Li(2), one Nb(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 Nb(1), one Ni(2), and one Ni(3) atom. In the eleventh O site, O(11) is bonded to one Li(1), one Nb(2), one Co(3), and one Ni(2) atom to form distorted OLiNbCoNi trigonal pyramids that share  a cornercorner with one O(15)LiNbNi2 tetrahedra, corners with two equivalent O(5)LiCoNi2 tetrahedra,  a cornercorner with one O(3)LiCo2Ni trigonal pyramid,  a cornercorner with one O(12)LiNbCoNi trigonal pyramid,  an edgeedge with one O(13)LiCoNi2 tetrahedra,  an edgeedge with one O(15)LiNbNi2 tetrahedra, and  an edgeedge with one O(12)LiNbCoNi trigonal pyramid. In the twelfth O site, O(12) is bonded to one Li(1), one Nb(2), one Co(3), and one Ni(3) atom to form distorted OLiNbCoNi trigonal pyramids that share  a cornercorner with one O(15)LiNbNi2 tetrahedra, corners with two equivalent O(5)LiCoNi2 tetrahedra,  a cornercorner with one O(3)LiCo2Ni trigonal pyramid,  a cornercorner with one O(11)LiNbCoNi trigonal pyramid,  an edgeedge with one O(13)LiCoNi2 tetrahedra,  an edgeedge with one O(15)LiNbNi2 tetrahedra, and  an edgeedge with one O(11)LiNbCoNi trigonal pyramid. In the thirteenth O site, O(13) is bonded to one Li(4), one Co(3), one Ni(2), and one Ni(3) atom to form distorted OLiCoNi2 tetrahedra that share  a cornercorner with one O(2)LiNbCo2 tetrahedra,  a cornercorner with one O(7)LiNbCoNi tetrahedra,  a cornercorner with one O(8)LiNbCoNi tetrahedra, corners with three equivalent O(5)LiCoNi2 tetrahedra,  an edgeedge with one O(15)LiNbNi2 tetrahedra,  an edgeedge with one O(11)LiNbCoNi trigonal pyramid, and  an edgeedge with one O(12)LiNbCoNi trigonal pyramid. In the fourteenth O site, O(14) is bonded in a rectangular see-saw-like geometry to one Li(2), one Nb(2), one Co(1), and one Ni(1) atom. In the fifteenth O site, O(15) is bonded to one Li(1), one Nb(2), one Ni(2), and one Ni(3) atom to form distorted OLiNbNi2 tetrahedra that share corners with two equivalent O(5)LiCoNi2 tetrahedra,  a cornercorner with one O(3)LiCo2Ni trigonal pyramid,  a cornercorner with one O(11)LiNbCoNi trigonal pyramid,  a cornercorner with one O(12)LiNbCoNi trigonal pyramid,  an edgeedge with one O(13)LiCoNi2 tetrahedra,  an edgeedge with one O(11)LiNbCoNi trigonal pyramid, and  an edgeedge with one O(12)LiNbCoNi trigonal pyramid. In the sixteenth O site, O(16) is bonded in a rectangular see-saw-like geometry to one Li(2), one Nb(2), one Co(2), and one Ni(1) atom. is represented by the CIF file [CIF]
data_Li4Nb2Co3Ni3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.866
_cell_length_b   5.790
_cell_length_c   9.519
_cell_angle_alpha   90.289
_cell_angle_beta   91.626
_cell_angle_gamma   119.427
_symmetry_Int_Tables_number   1
_cell_volume   281.383
_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  0.321  0.661  0.899  1.0
  Li  Li1  1  0.004  0.002  0.993  1.0
  Li  Li2  1  0.008  0.003  0.493  1.0
  Li  Li3  1  0.664  0.335  0.396  1.0
  Nb  Nb4  1  0.338  0.663  0.497  1.0
  Nb  Nb5  1  0.654  0.325  0.995  1.0
  Co  Co6  1  0.174  0.833  0.217  1.0
  Co  Co7  1  0.170  0.340  0.215  1.0
  Co  Co8  1  0.342  0.171  0.717  1.0
  Ni  Ni9  1  0.662  0.830  0.214  1.0
  Ni  Ni10  1  0.833  0.663  0.716  1.0
  Ni  Ni11  1  0.833  0.170  0.716  1.0
  O  O12  1  0.181  0.845  0.594  1.0
  O  O13  1  0.038  0.521  0.331  1.0
  O  O14  1  0.307  0.658  0.113  1.0
  O  O15  1  0.022  0.007  0.305  1.0
  O  O16  1  0.020  0.011  0.804  1.0
  O  O17  1  0.179  0.334  0.595  1.0
  O  O18  1  0.466  0.965  0.336  1.0
  O  O19  1  0.471  0.510  0.338  1.0
  O  O20  1  0.328  0.163  0.105  1.0
  O  O21  1  0.682  0.843  0.589  1.0
  O  O22  1  0.501  0.471  0.843  1.0
  O  O23  1  0.500  0.030  0.843  1.0
  O  O24  1  0.650  0.323  0.616  1.0
  O  O25  1  0.848  0.673  0.093  1.0
  O  O26  1  0.958  0.478  0.842  1.0
  O  O27  1  0.845  0.173  0.093  1.0
[/CIF]
.