The structure described by Li4Nb3Mn2Fe3O16 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 Fe(1)O6 octahedra, corners with two equivalent Fe(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 51-64°. In the second Li site, Li(2) is bonded to one O(5), one O(7), and two equivalent O(11) atoms to form distorted LiO4 tetrahedra that share  a cornercorner with one Fe(2)O6 octahedra, corners with two equivalent Nb(2)O6 octahedra, corners with three equivalent Mn(2)O6 octahedra,  an edgeedge with one Nb(1)O6 octahedra, and edges with two equivalent Fe(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-73°. In the third Li site, Li(3) is bonded in a distorted rectangular see-saw-like geometry to one O(4), one O(8), and two equivalent O(1) atoms. 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 Fe(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 Fe(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-62°. 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,  an edgeedge with one Mn(1)O6 octahedra, edges with four equivalent Fe(1)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles are 54°. 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(2)O4 tetrahedra,  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, and edges with two equivalent Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-55°. 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 Fe(2)O6 octahedra, corners with four equivalent Nb(2)O6 octahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Nb(1)O6 octahedra, and edges with two equivalent Fe(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-55°. 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 Fe(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra, corners with three equivalent Li(2)O4 tetrahedra,  an edgeedge with one Fe(2)O6 octahedra, and edges with two equivalent Nb(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-54°. There are two inequivalent Fe sites. In the first Fe site, Fe(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 FeO6 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,  an edgeedge with one Mn(1)O6 octahedra, edges with two equivalent Nb(1)O6 octahedra, edges with two equivalent Fe(1)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 51-53°. In the second Fe site, Fe(2) is bonded to one O(10), one O(5), two equivalent O(1), and two equivalent O(9) atoms to form FeO6 octahedra that share corners with two equivalent Mn(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 Mn(2)O6 octahedra, and edges with four equivalent Nb(2)O6 octahedra. The corner-sharing octahedral tilt angles are 51°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded to one Li(3), one Nb(2), one Mn(1), and one Fe(2) atom to form distorted OLiMnNbFe trigonal pyramids that share  a cornercorner with one O(2)LiMnFe2 tetrahedra,  a cornercorner with one O(12)LiMnNb2 tetrahedra,  a cornercorner with one O(4)LiNbFe2 tetrahedra,  a cornercorner with one O(1)LiMnNbFe trigonal pyramid, corners with three equivalent O(9)LiMnNbFe trigonal pyramids,  an edgeedge with one O(5)LiNb2Fe tetrahedra, and  an edgeedge with one O(1)LiMnNbFe trigonal pyramid. In the second O site, O(2) is bonded to one Li(4), one Mn(1), and two equivalent Fe(1) atoms to form distorted OLiMnFe2 tetrahedra that share corners with two equivalent O(4)LiNbFe2 tetrahedra and corners with two equivalent O(1)LiMnNbFe trigonal pyramids. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(1), one Nb(1), and two equivalent Fe(1) atoms. In the fourth O site, O(4) is bonded to one Li(3), one Nb(1), and two equivalent Fe(1) atoms to form distorted OLiNbFe2 tetrahedra that share corners with two equivalent O(2)LiMnFe2 tetrahedra and corners with two equivalent O(1)LiMnNbFe trigonal pyramids. In the fifth O site, O(5) is bonded to one Li(2), two equivalent Nb(2), and one Fe(2) atom to form distorted OLiNb2Fe tetrahedra that share corners with two equivalent O(12)LiMnNb2 tetrahedra, corners with four equivalent O(9)LiMnNbFe trigonal pyramids, and edges with two equivalent O(1)LiMnNbFe trigonal pyramids. 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 Fe(1) atom. In the seventh O site, O(7) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one Mn(2), and two equivalent Fe(1) atoms. In the eighth O site, O(8) is bonded in a distorted 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 Fe(2) atom to form distorted OLiMnNbFe trigonal pyramids that share  a cornercorner with one O(12)LiMnNb2 tetrahedra, corners with two equivalent O(5)LiNb2Fe tetrahedra,  a cornercorner with one O(9)LiMnNbFe trigonal pyramid, corners with three equivalent O(1)LiMnNbFe trigonal pyramids,  an edgeedge with one O(12)LiMnNb2 tetrahedra, and  an edgeedge with one O(9)LiMnNbFe trigonal pyramid. 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 Fe(2) atom. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one Nb(1), one Mn(2), and one Fe(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 OLiMnNb2 tetrahedra that share corners with two equivalent O(5)LiNb2Fe tetrahedra, corners with two equivalent O(1)LiMnNbFe trigonal pyramids, corners with two equivalent O(9)LiMnNbFe trigonal pyramids, and edges with two equivalent O(9)LiMnNbFe trigonal pyramids. is represented by the CIF file [CIF]
data_Li4Mn2Nb3Fe3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.059
_cell_length_b   6.059
_cell_length_c   9.922
_cell_angle_alpha   88.677
_cell_angle_beta   88.677
_cell_angle_gamma   61.093
_symmetry_Int_Tables_number   1
_cell_volume   318.717
_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  0.337  0.337  0.097  1.0
  Li  Li1  1  0.986  0.986  0.001  1.0
  Li  Li2  1  0.979  0.979  0.506  1.0
  Li  Li3  1  0.666  0.666  0.623  1.0
  Mn  Mn4  1  0.348  0.348  0.512  1.0
  Mn  Mn5  1  0.671  0.671  0.005  1.0
  Nb  Nb6  1  0.169  0.169  0.785  1.0
  Nb  Nb7  1  0.843  0.344  0.286  1.0
  Nb  Nb8  1  0.344  0.843  0.286  1.0
  Fe  Fe9  1  0.658  0.174  0.787  1.0
  Fe  Fe10  1  0.174  0.658  0.787  1.0
  Fe  Fe11  1  0.832  0.832  0.280  1.0
  O  O12  1  0.688  0.166  0.388  1.0
  O  O13  1  0.484  0.484  0.673  1.0
  O  O14  1  0.326  0.326  0.899  1.0
  O  O15  1  0.998  0.998  0.689  1.0
  O  O16  1  0.014  0.014  0.182  1.0
  O  O17  1  0.166  0.688  0.388  1.0
  O  O18  1  0.478  0.030  0.670  1.0
  O  O19  1  0.030  0.478  0.670  1.0
  O  O20  1  0.829  0.829  0.900  1.0
  O  O21  1  0.164  0.164  0.394  1.0
  O  O22  1  0.972  0.514  0.160  1.0
  O  O23  1  0.514  0.972  0.160  1.0
  O  O24  1  0.656  0.656  0.400  1.0
  O  O25  1  0.841  0.314  0.902  1.0
  O  O26  1  0.527  0.527  0.160  1.0
  O  O27  1  0.314  0.841  0.902  1.0
[/CIF]
.
The structure described by Li4Nb3Mn2Fe3O16 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 Fe(1)O6 octahedra, corners with two equivalent Fe(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 51-64°. In the second Li site, Li(2) is bonded to one O(5), one O(7), and two equivalent O(11) atoms to form distorted LiO4 tetrahedra that share  a cornercorner with one Fe(2)O6 octahedra, corners with two equivalent Nb(2)O6 octahedra, corners with three equivalent Mn(2)O6 octahedra,  an edgeedge with one Nb(1)O6 octahedra, and edges with two equivalent Fe(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-73°. In the third Li site, Li(3) is bonded in a distorted rectangular see-saw-like geometry to one O(4), one O(8), and two equivalent O(1) atoms. 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 Fe(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 Fe(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-62°. 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,  an edgeedge with one Mn(1)O6 octahedra, edges with four equivalent Fe(1)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles are 54°. 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(2)O4 tetrahedra,  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, and edges with two equivalent Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-55°. 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 Fe(2)O6 octahedra, corners with four equivalent Nb(2)O6 octahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Nb(1)O6 octahedra, and edges with two equivalent Fe(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-55°. 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 Fe(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra, corners with three equivalent Li(2)O4 tetrahedra,  an edgeedge with one Fe(2)O6 octahedra, and edges with two equivalent Nb(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-54°. There are two inequivalent Fe sites. In the first Fe site, Fe(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 FeO6 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,  an edgeedge with one Mn(1)O6 octahedra, edges with two equivalent Nb(1)O6 octahedra, edges with two equivalent Fe(1)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 51-53°. In the second Fe site, Fe(2) is bonded to one O(10), one O(5), two equivalent O(1), and two equivalent O(9) atoms to form FeO6 octahedra that share corners with two equivalent Mn(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 Mn(2)O6 octahedra, and edges with four equivalent Nb(2)O6 octahedra. The corner-sharing octahedral tilt angles are 51°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded to one Li(3), one Nb(2), one Mn(1), and one Fe(2) atom to form distorted OLiMnNbFe trigonal pyramids that share  a cornercorner with one O(2)LiMnFe2 tetrahedra,  a cornercorner with one O(12)LiMnNb2 tetrahedra,  a cornercorner with one O(4)LiNbFe2 tetrahedra,  a cornercorner with one O(1)LiMnNbFe trigonal pyramid, corners with three equivalent O(9)LiMnNbFe trigonal pyramids,  an edgeedge with one O(5)LiNb2Fe tetrahedra, and  an edgeedge with one O(1)LiMnNbFe trigonal pyramid. In the second O site, O(2) is bonded to one Li(4), one Mn(1), and two equivalent Fe(1) atoms to form distorted OLiMnFe2 tetrahedra that share corners with two equivalent O(4)LiNbFe2 tetrahedra and corners with two equivalent O(1)LiMnNbFe trigonal pyramids. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(1), one Nb(1), and two equivalent Fe(1) atoms. In the fourth O site, O(4) is bonded to one Li(3), one Nb(1), and two equivalent Fe(1) atoms to form distorted OLiNbFe2 tetrahedra that share corners with two equivalent O(2)LiMnFe2 tetrahedra and corners with two equivalent O(1)LiMnNbFe trigonal pyramids. In the fifth O site, O(5) is bonded to one Li(2), two equivalent Nb(2), and one Fe(2) atom to form distorted OLiNb2Fe tetrahedra that share corners with two equivalent O(12)LiMnNb2 tetrahedra, corners with four equivalent O(9)LiMnNbFe trigonal pyramids, and edges with two equivalent O(1)LiMnNbFe trigonal pyramids. 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 Fe(1) atom. In the seventh O site, O(7) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one Mn(2), and two equivalent Fe(1) atoms. In the eighth O site, O(8) is bonded in a distorted 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 Fe(2) atom to form distorted OLiMnNbFe trigonal pyramids that share  a cornercorner with one O(12)LiMnNb2 tetrahedra, corners with two equivalent O(5)LiNb2Fe tetrahedra,  a cornercorner with one O(9)LiMnNbFe trigonal pyramid, corners with three equivalent O(1)LiMnNbFe trigonal pyramids,  an edgeedge with one O(12)LiMnNb2 tetrahedra, and  an edgeedge with one O(9)LiMnNbFe trigonal pyramid. 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 Fe(2) atom. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one Nb(1), one Mn(2), and one Fe(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 OLiMnNb2 tetrahedra that share corners with two equivalent O(5)LiNb2Fe tetrahedra, corners with two equivalent O(1)LiMnNbFe trigonal pyramids, corners with two equivalent O(9)LiMnNbFe trigonal pyramids, and edges with two equivalent O(9)LiMnNbFe trigonal pyramids. is represented by the CIF file [CIF]
data_Li4Mn2Nb3Fe3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.059
_cell_length_b   6.059
_cell_length_c   9.922
_cell_angle_alpha   88.677
_cell_angle_beta   88.677
_cell_angle_gamma   61.093
_symmetry_Int_Tables_number   1
_cell_volume   318.717
_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  0.337  0.337  0.097  1.0
  Li  Li1  1  0.986  0.986  0.001  1.0
  Li  Li2  1  0.979  0.979  0.506  1.0
  Li  Li3  1  0.666  0.666  0.623  1.0
  Mn  Mn4  1  0.348  0.348  0.512  1.0
  Mn  Mn5  1  0.671  0.671  0.005  1.0
  Nb  Nb6  1  0.169  0.169  0.785  1.0
  Nb  Nb7  1  0.843  0.344  0.286  1.0
  Nb  Nb8  1  0.344  0.843  0.286  1.0
  Fe  Fe9  1  0.658  0.174  0.787  1.0
  Fe  Fe10  1  0.174  0.658  0.787  1.0
  Fe  Fe11  1  0.832  0.832  0.280  1.0
  O  O12  1  0.688  0.166  0.388  1.0
  O  O13  1  0.484  0.484  0.673  1.0
  O  O14  1  0.326  0.326  0.899  1.0
  O  O15  1  0.998  0.998  0.689  1.0
  O  O16  1  0.014  0.014  0.182  1.0
  O  O17  1  0.166  0.688  0.388  1.0
  O  O18  1  0.478  0.030  0.670  1.0
  O  O19  1  0.030  0.478  0.670  1.0
  O  O20  1  0.829  0.829  0.900  1.0
  O  O21  1  0.164  0.164  0.394  1.0
  O  O22  1  0.972  0.514  0.160  1.0
  O  O23  1  0.514  0.972  0.160  1.0
  O  O24  1  0.656  0.656  0.400  1.0
  O  O25  1  0.841  0.314  0.902  1.0
  O  O26  1  0.527  0.527  0.160  1.0
  O  O27  1  0.314  0.841  0.902  1.0
[/CIF]
.