The compound described by Li4Nb3Mn2Co3O16 is Spinel-derived structured and crystallizes in the monoclinic Cm space group. There are four inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(12), one O(3), and two equivalent O(9) atoms to form LiO4 tetrahedra that share  a cornercorner with one Nb(1)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with three equivalent Mn(2)O6 octahedra, and corners with four equivalent Nb(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-72°. In the second Li site, Li(2) is bonded in a rectangular see-saw-like geometry to one O(5), one O(7), and two equivalent O(11) atoms. In the third Li site, Li(3) is bonded to one O(4), one O(8), and two equivalent O(1) atoms to form distorted LiO4 trigonal pyramids that share  a cornercorner with one Nb(1)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, corners with three equivalent Mn(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, and edges with two equivalent Nb(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 47-70°. In the fourth Li site, Li(4) is bonded to one O(10), one O(2), and two equivalent O(6) atoms to form LiO4 tetrahedra that share  a cornercorner with one Co(2)O6 octahedra, corners with two equivalent Nb(1)O6 octahedra, corners with two equivalent Nb(2)O6 octahedra, corners with three equivalent Mn(1)O6 octahedra, and corners with four equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-66°. There are two inequivalent Nb sites. In the first Nb site, Nb(1) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form NbO6 octahedra that share corners with two equivalent Mn(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  a cornercorner with one Li(3)O4 trigonal pyramid,  an edgeedge with one Mn(1)O6 octahedra, and edges with four equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles are 58°. In the second Nb site, Nb(2) is bonded to one O(1), one O(10), one O(12), one O(5), one O(8), and one O(9) atom to form NbO6 octahedra that share corners with two equivalent Mn(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Mn(2)O6 octahedra, edges with two equivalent Nb(2)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 53-54°. There are two inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms to form MnO6 octahedra that share corners with two equivalent Co(2)O6 octahedra, corners with four equivalent Nb(2)O6 octahedra, corners with three equivalent Li(4)O4 tetrahedra, corners with three equivalent Li(3)O4 trigonal pyramids,  an edgeedge with one Nb(1)O6 octahedra, and edges with two equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 47-54°. In the second Mn site, Mn(2) is bonded to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form distorted MnO6 octahedra that share corners with two equivalent Nb(1)O6 octahedra, corners with four equivalent Co(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one Co(2)O6 octahedra, and edges with two equivalent Nb(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-58°. There are two inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(11), one O(2), one O(3), one O(4), one O(6), and one O(7) atom to form CoO6 octahedra that share corners with two equivalent Mn(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  a cornercorner with one Li(3)O4 trigonal pyramid,  an edgeedge with one Mn(1)O6 octahedra, edges with two equivalent Nb(1)O6 octahedra, and edges with two equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-54°. In the second Co site, Co(2) is bonded to one O(10), one O(5), two equivalent O(1), and two equivalent O(9) atoms to form CoO6 octahedra that share corners with two equivalent Mn(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Mn(2)O6 octahedra, edges with four equivalent Nb(2)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 47°. There are twelve 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(2), one Mn(1), and one Co(2) atom. In the second O site, O(2) is bonded to one Li(4), one Mn(1), and two equivalent Co(1) atoms to form distorted OLiMnCo2 tetrahedra that share corners with two equivalent O(4)LiNbCo2 tetrahedra, corners with two equivalent O(7)LiMnCo2 trigonal pyramids, and  an edgeedge with one O(3)LiNbCo2 trigonal pyramid. In the third O site, O(3) is bonded to one Li(1), one Nb(1), and two equivalent Co(1) atoms to form distorted OLiNbCo2 trigonal pyramids that share  a cornercorner with one O(12)LiMnNb2 tetrahedra, corners with two equivalent O(9)LiMnNbCo tetrahedra, corners with three equivalent O(4)LiNbCo2 tetrahedra, corners with two equivalent O(7)LiMnCo2 trigonal pyramids, and  an edgeedge with one O(2)LiMnCo2 tetrahedra. In the fourth O site, O(4) is bonded to one Li(3), one Nb(1), and two equivalent Co(1) atoms to form distorted OLiNbCo2 tetrahedra that share corners with two equivalent O(2)LiMnCo2 tetrahedra, corners with three equivalent O(3)LiNbCo2 trigonal pyramids, and  an edgeedge with one O(7)LiMnCo2 trigonal pyramid. In the fifth O site, O(5) is bonded to one Li(2), two equivalent Nb(2), and one Co(2) atom to form distorted OLiNb2Co tetrahedra that share corners with two equivalent O(12)LiMnNb2 tetrahedra, corners with four equivalent O(9)LiMnNbCo tetrahedra, and  a cornercorner with one O(7)LiMnCo2 trigonal pyramid. In the sixth O site, O(6) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), one Nb(1), one Mn(1), and one Co(1) atom. In the seventh O site, O(7) is bonded to one Li(2), one Mn(2), and two equivalent Co(1) atoms to form OLiMnCo2 trigonal pyramids that share  a cornercorner with one O(12)LiMnNb2 tetrahedra,  a cornercorner with one O(5)LiNb2Co tetrahedra, corners with two equivalent O(2)LiMnCo2 tetrahedra, corners with two equivalent O(9)LiMnNbCo tetrahedra, corners with two equivalent O(3)LiNbCo2 trigonal pyramids, and  an edgeedge with one O(4)LiNbCo2 tetrahedra. In the eighth O site, O(8) is bonded in a rectangular see-saw-like geometry to one Li(3), two equivalent Nb(2), and one Mn(1) atom. In the ninth O site, O(9) is bonded to one Li(1), one Nb(2), one Mn(2), and one Co(2) atom to form distorted OLiMnNbCo tetrahedra that share  a cornercorner with one O(12)LiMnNb2 tetrahedra,  a cornercorner with one O(9)LiMnNbCo tetrahedra, corners with two equivalent O(5)LiNb2Co tetrahedra,  a cornercorner with one O(7)LiMnCo2 trigonal pyramid,  a cornercorner with one O(3)LiNbCo2 trigonal pyramid,  an edgeedge with one O(12)LiMnNb2 tetrahedra, and  an edgeedge with one O(9)LiMnNbCo tetrahedra. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to one Li(4), two equivalent Nb(2), and one Co(2) atom. In the eleventh O site, O(11) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one Nb(1), one Mn(2), and one Co(1) atom. In the twelfth O site, O(12) is bonded to one Li(1), two equivalent Nb(2), and one Mn(2) atom to form distorted OLiMnNb2 tetrahedra that share corners with two equivalent O(9)LiMnNbCo tetrahedra, corners with two equivalent O(5)LiNb2Co tetrahedra,  a cornercorner with one O(7)LiMnCo2 trigonal pyramid,  a cornercorner with one O(3)LiNbCo2 trigonal pyramid, and edges with two equivalent O(9)LiMnNbCo tetrahedra. is represented by the CIF file [CIF]
data_Li4Mn2Nb3Co3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.976
_cell_length_b   5.976
_cell_length_c   9.850
_cell_angle_alpha   88.317
_cell_angle_beta   88.317
_cell_angle_gamma   60.471
_symmetry_Int_Tables_number   1
_cell_volume   305.925
_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  0.339  0.339  0.098  1.0
  Li  Li1  1  0.981  0.981  0.998  1.0
  Li  Li2  1  0.967  0.967  0.511  1.0
  Li  Li3  1  0.671  0.671  0.621  1.0
  Mn  Mn4  1  0.349  0.349  0.522  1.0
  Mn  Mn5  1  0.669  0.669  0.991  1.0
  Nb  Nb6  1  0.175  0.175  0.791  1.0
  Nb  Nb7  1  0.838  0.340  0.288  1.0
  Nb  Nb8  1  0.340  0.838  0.288  1.0
  Co  Co9  1  0.667  0.171  0.781  1.0
  Co  Co10  1  0.171  0.667  0.781  1.0
  Co  Co11  1  0.827  0.827  0.287  1.0
  O  O12  1  0.666  0.169  0.402  1.0
  O  O13  1  0.490  0.490  0.678  1.0
  O  O14  1  0.338  0.338  0.893  1.0
  O  O15  1  0.002  0.002  0.687  1.0
  O  O16  1  0.006  0.006  0.184  1.0
  O  O17  1  0.169  0.666  0.402  1.0
  O  O18  1  0.489  0.051  0.657  1.0
  O  O19  1  0.051  0.489  0.657  1.0
  O  O20  1  0.842  0.842  0.881  1.0
  O  O21  1  0.155  0.155  0.402  1.0
  O  O22  1  0.974  0.503  0.164  1.0
  O  O23  1  0.503  0.974  0.164  1.0
  O  O24  1  0.652  0.652  0.407  1.0
  O  O25  1  0.844  0.310  0.891  1.0
  O  O26  1  0.515  0.515  0.174  1.0
  O  O27  1  0.310  0.844  0.891  1.0
[/CIF]
.
The compound described by Li4Nb3Mn2Co3O16 is Spinel-derived structured and crystallizes in the monoclinic Cm space group. There are four inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(12), one O(3), and two equivalent O(9) atoms to form LiO4 tetrahedra that share  a cornercorner with one Nb(1)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with three equivalent Mn(2)O6 octahedra, and corners with four equivalent Nb(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-72°. In the second Li site, Li(2) is bonded in a rectangular see-saw-like geometry to one O(5), one O(7), and two equivalent O(11) atoms. In the third Li site, Li(3) is bonded to one O(4), one O(8), and two equivalent O(1) atoms to form distorted LiO4 trigonal pyramids that share  a cornercorner with one Nb(1)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, corners with three equivalent Mn(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, and edges with two equivalent Nb(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 47-70°. In the fourth Li site, Li(4) is bonded to one O(10), one O(2), and two equivalent O(6) atoms to form LiO4 tetrahedra that share  a cornercorner with one Co(2)O6 octahedra, corners with two equivalent Nb(1)O6 octahedra, corners with two equivalent Nb(2)O6 octahedra, corners with three equivalent Mn(1)O6 octahedra, and corners with four equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-66°. There are two inequivalent Nb sites. In the first Nb site, Nb(1) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form NbO6 octahedra that share corners with two equivalent Mn(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  a cornercorner with one Li(3)O4 trigonal pyramid,  an edgeedge with one Mn(1)O6 octahedra, and edges with four equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles are 58°. In the second Nb site, Nb(2) is bonded to one O(1), one O(10), one O(12), one O(5), one O(8), and one O(9) atom to form NbO6 octahedra that share corners with two equivalent Mn(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Mn(2)O6 octahedra, edges with two equivalent Nb(2)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 53-54°. There are two inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms to form MnO6 octahedra that share corners with two equivalent Co(2)O6 octahedra, corners with four equivalent Nb(2)O6 octahedra, corners with three equivalent Li(4)O4 tetrahedra, corners with three equivalent Li(3)O4 trigonal pyramids,  an edgeedge with one Nb(1)O6 octahedra, and edges with two equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 47-54°. In the second Mn site, Mn(2) is bonded to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form distorted MnO6 octahedra that share corners with two equivalent Nb(1)O6 octahedra, corners with four equivalent Co(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one Co(2)O6 octahedra, and edges with two equivalent Nb(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-58°. There are two inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(11), one O(2), one O(3), one O(4), one O(6), and one O(7) atom to form CoO6 octahedra that share corners with two equivalent Mn(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  a cornercorner with one Li(3)O4 trigonal pyramid,  an edgeedge with one Mn(1)O6 octahedra, edges with two equivalent Nb(1)O6 octahedra, and edges with two equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-54°. In the second Co site, Co(2) is bonded to one O(10), one O(5), two equivalent O(1), and two equivalent O(9) atoms to form CoO6 octahedra that share corners with two equivalent Mn(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Mn(2)O6 octahedra, edges with four equivalent Nb(2)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 47°. There are twelve 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(2), one Mn(1), and one Co(2) atom. In the second O site, O(2) is bonded to one Li(4), one Mn(1), and two equivalent Co(1) atoms to form distorted OLiMnCo2 tetrahedra that share corners with two equivalent O(4)LiNbCo2 tetrahedra, corners with two equivalent O(7)LiMnCo2 trigonal pyramids, and  an edgeedge with one O(3)LiNbCo2 trigonal pyramid. In the third O site, O(3) is bonded to one Li(1), one Nb(1), and two equivalent Co(1) atoms to form distorted OLiNbCo2 trigonal pyramids that share  a cornercorner with one O(12)LiMnNb2 tetrahedra, corners with two equivalent O(9)LiMnNbCo tetrahedra, corners with three equivalent O(4)LiNbCo2 tetrahedra, corners with two equivalent O(7)LiMnCo2 trigonal pyramids, and  an edgeedge with one O(2)LiMnCo2 tetrahedra. In the fourth O site, O(4) is bonded to one Li(3), one Nb(1), and two equivalent Co(1) atoms to form distorted OLiNbCo2 tetrahedra that share corners with two equivalent O(2)LiMnCo2 tetrahedra, corners with three equivalent O(3)LiNbCo2 trigonal pyramids, and  an edgeedge with one O(7)LiMnCo2 trigonal pyramid. In the fifth O site, O(5) is bonded to one Li(2), two equivalent Nb(2), and one Co(2) atom to form distorted OLiNb2Co tetrahedra that share corners with two equivalent O(12)LiMnNb2 tetrahedra, corners with four equivalent O(9)LiMnNbCo tetrahedra, and  a cornercorner with one O(7)LiMnCo2 trigonal pyramid. In the sixth O site, O(6) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), one Nb(1), one Mn(1), and one Co(1) atom. In the seventh O site, O(7) is bonded to one Li(2), one Mn(2), and two equivalent Co(1) atoms to form OLiMnCo2 trigonal pyramids that share  a cornercorner with one O(12)LiMnNb2 tetrahedra,  a cornercorner with one O(5)LiNb2Co tetrahedra, corners with two equivalent O(2)LiMnCo2 tetrahedra, corners with two equivalent O(9)LiMnNbCo tetrahedra, corners with two equivalent O(3)LiNbCo2 trigonal pyramids, and  an edgeedge with one O(4)LiNbCo2 tetrahedra. In the eighth O site, O(8) is bonded in a rectangular see-saw-like geometry to one Li(3), two equivalent Nb(2), and one Mn(1) atom. In the ninth O site, O(9) is bonded to one Li(1), one Nb(2), one Mn(2), and one Co(2) atom to form distorted OLiMnNbCo tetrahedra that share  a cornercorner with one O(12)LiMnNb2 tetrahedra,  a cornercorner with one O(9)LiMnNbCo tetrahedra, corners with two equivalent O(5)LiNb2Co tetrahedra,  a cornercorner with one O(7)LiMnCo2 trigonal pyramid,  a cornercorner with one O(3)LiNbCo2 trigonal pyramid,  an edgeedge with one O(12)LiMnNb2 tetrahedra, and  an edgeedge with one O(9)LiMnNbCo tetrahedra. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to one Li(4), two equivalent Nb(2), and one Co(2) atom. In the eleventh O site, O(11) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one Nb(1), one Mn(2), and one Co(1) atom. In the twelfth O site, O(12) is bonded to one Li(1), two equivalent Nb(2), and one Mn(2) atom to form distorted OLiMnNb2 tetrahedra that share corners with two equivalent O(9)LiMnNbCo tetrahedra, corners with two equivalent O(5)LiNb2Co tetrahedra,  a cornercorner with one O(7)LiMnCo2 trigonal pyramid,  a cornercorner with one O(3)LiNbCo2 trigonal pyramid, and edges with two equivalent O(9)LiMnNbCo tetrahedra. is represented by the CIF file [CIF]
data_Li4Mn2Nb3Co3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.976
_cell_length_b   5.976
_cell_length_c   9.850
_cell_angle_alpha   88.317
_cell_angle_beta   88.317
_cell_angle_gamma   60.471
_symmetry_Int_Tables_number   1
_cell_volume   305.925
_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  0.339  0.339  0.098  1.0
  Li  Li1  1  0.981  0.981  0.998  1.0
  Li  Li2  1  0.967  0.967  0.511  1.0
  Li  Li3  1  0.671  0.671  0.621  1.0
  Mn  Mn4  1  0.349  0.349  0.522  1.0
  Mn  Mn5  1  0.669  0.669  0.991  1.0
  Nb  Nb6  1  0.175  0.175  0.791  1.0
  Nb  Nb7  1  0.838  0.340  0.288  1.0
  Nb  Nb8  1  0.340  0.838  0.288  1.0
  Co  Co9  1  0.667  0.171  0.781  1.0
  Co  Co10  1  0.171  0.667  0.781  1.0
  Co  Co11  1  0.827  0.827  0.287  1.0
  O  O12  1  0.666  0.169  0.402  1.0
  O  O13  1  0.490  0.490  0.678  1.0
  O  O14  1  0.338  0.338  0.893  1.0
  O  O15  1  0.002  0.002  0.687  1.0
  O  O16  1  0.006  0.006  0.184  1.0
  O  O17  1  0.169  0.666  0.402  1.0
  O  O18  1  0.489  0.051  0.657  1.0
  O  O19  1  0.051  0.489  0.657  1.0
  O  O20  1  0.842  0.842  0.881  1.0
  O  O21  1  0.155  0.155  0.402  1.0
  O  O22  1  0.974  0.503  0.164  1.0
  O  O23  1  0.503  0.974  0.164  1.0
  O  O24  1  0.652  0.652  0.407  1.0
  O  O25  1  0.844  0.310  0.891  1.0
  O  O26  1  0.515  0.515  0.174  1.0
  O  O27  1  0.310  0.844  0.891  1.0
[/CIF]
.