The structure described by Li4Nb2Fe3Sn3O16 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 Fe(1)O6 octahedra, corners with two equivalent Sn(1)O6 octahedra, corners with two equivalent Sn(2)O6 octahedra, corners with three equivalent Nb(2)O6 octahedra, and corners with four equivalent Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-65°. 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 trigonal pyramids that share  a cornercorner with one Sn(2)O6 octahedra, corners with two equivalent Fe(2)O6 octahedra, corners with three equivalent Nb(2)O6 octahedra,  an edgeedge with one Fe(1)O6 octahedra, and edges with two equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 62-66°. In the third Li site, Li(3) is bonded to one O(4), one O(8), and two equivalent O(1) atoms to form LiO4 tetrahedra that share  a cornercorner with one Fe(1)O6 octahedra, corners with two equivalent Sn(1)O6 octahedra, corners with three equivalent Nb(1)O6 octahedra,  an edgeedge with one Sn(2)O6 octahedra, and edges with two equivalent Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-62°. 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 Sn(2)O6 octahedra, corners with two equivalent Fe(1)O6 octahedra, corners with two equivalent Fe(2)O6 octahedra, corners with three equivalent Nb(1)O6 octahedra, and corners with four equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 58-63°. There are two inequivalent Nb sites. In the first Nb site, Nb(1) is bonded to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms to form distorted NbO6 octahedra that share corners with two equivalent Sn(2)O6 octahedra, corners with four equivalent Fe(2)O6 octahedra, corners with three equivalent Li(3)O4 tetrahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Fe(1)O6 octahedra, and edges with two equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-52°. In the second Nb site, Nb(2) is bonded to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form distorted NbO6 octahedra that share corners with two equivalent Fe(1)O6 octahedra, corners with four equivalent Sn(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra, corners with three equivalent Li(2)O4 trigonal pyramids,  an edgeedge with one Sn(2)O6 octahedra, and edges with two equivalent Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 46-53°. There are two inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form FeO6 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 four equivalent Sn(1)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 46°. In the second Fe site, Fe(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 FeO6 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,  a cornercorner with one Li(2)O4 trigonal pyramid,  an edgeedge with one Nb(2)O6 octahedra, edges with two equivalent Fe(2)O6 octahedra, edges with two equivalent Sn(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 50-52°. There are two inequivalent Sn sites. In the first Sn site, Sn(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 SnO6 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 Fe(1)O6 octahedra, edges with two equivalent Sn(1)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 52-53°. In the second Sn site, Sn(2) is bonded to one O(10), one O(5), two equivalent O(1), and two equivalent O(9) atoms to form SnO6 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,  a cornercorner with one Li(2)O4 trigonal pyramid,  an edgeedge with one Nb(2)O6 octahedra, edges with four equivalent Fe(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 51°. 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(1), one Fe(2), and one Sn(2) atom. In the second O site, O(2) is bonded to one Li(4), one Nb(1), and two equivalent Sn(1) atoms to form distorted OLiNbSn2 trigonal pyramids that share corners with two equivalent O(4)LiFeSn2 tetrahedra, corners with two equivalent O(6)LiNbFeSn tetrahedra,  a cornercorner with one O(10)LiFe2Sn trigonal pyramid, and edges with two equivalent O(6)LiNbFeSn tetrahedra. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(1), one Fe(1), and two equivalent Sn(1) atoms. In the fourth O site, O(4) is bonded to one Li(3), one Fe(1), and two equivalent Sn(1) atoms to form distorted OLiFeSn2 tetrahedra that share corners with four equivalent O(6)LiNbFeSn tetrahedra and corners with two equivalent O(2)LiNbSn2 trigonal pyramids. In the fifth O site, O(5) is bonded to one Li(2), two equivalent Fe(2), and one Sn(2) atom to form corner-sharing OLiFe2Sn tetrahedra. In the sixth O site, O(6) is bonded to one Li(4), one Nb(1), one Fe(1), and one Sn(1) atom to form distorted OLiNbFeSn tetrahedra that share  a cornercorner with one O(6)LiNbFeSn tetrahedra, corners with two equivalent O(4)LiFeSn2 tetrahedra,  a cornercorner with one O(10)LiFe2Sn trigonal pyramid,  a cornercorner with one O(2)LiNbSn2 trigonal pyramid,  an edgeedge with one O(6)LiNbFeSn tetrahedra, and  an edgeedge with one O(2)LiNbSn2 trigonal pyramid. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Li(2), one Nb(2), and two equivalent Sn(1) atoms. In the eighth O site, O(8) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), one Nb(1), and two equivalent Fe(2) atoms. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Li(1), one Nb(2), one Fe(2), and one Sn(2) atom. In the tenth O site, O(10) is bonded to one Li(4), two equivalent Fe(2), and one Sn(2) atom to form distorted OLiFe2Sn trigonal pyramids that share corners with two equivalent O(6)LiNbFeSn tetrahedra, corners with three equivalent O(5)LiFe2Sn tetrahedra, and  a cornercorner with one O(2)LiNbSn2 trigonal pyramid. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one Nb(2), one Fe(1), and one Sn(1) atom. In the twelfth O site, O(12) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Nb(2), and two equivalent Fe(2) atoms. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li4Nb2Fe3Sn3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.227
_cell_length_b   6.227
_cell_length_c   9.972
_cell_angle_alpha   89.907
_cell_angle_beta   89.907
_cell_angle_gamma   59.648
_symmetry_Int_Tables_number   1
_cell_volume   333.624
_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  0.672  0.672  0.098  1.0
  Li  Li1  1  0.993  0.993  0.015  1.0
  Li  Li2  1  0.995  0.995  0.503  1.0
  Li  Li3  1  0.330  0.330  0.595  1.0
  Nb  Nb4  1  0.676  0.676  0.503  1.0
  Nb  Nb5  1  0.352  0.352  0.023  1.0
  Fe  Fe6  1  0.828  0.828  0.788  1.0
  Fe  Fe7  1  0.172  0.660  0.287  1.0
  Fe  Fe8  1  0.660  0.172  0.287  1.0
  Sn  Sn9  1  0.337  0.832  0.785  1.0
  Sn  Sn10  1  0.832  0.337  0.785  1.0
  Sn  Sn11  1  0.171  0.171  0.285  1.0
  O  O12  1  0.343  0.839  0.413  1.0
  O  O13  1  0.513  0.513  0.661  1.0
  O  O14  1  0.663  0.663  0.898  1.0
  O  O15  1  0.997  0.997  0.688  1.0
  O  O16  1  0.000  0.000  0.200  1.0
  O  O17  1  0.839  0.343  0.413  1.0
  O  O18  1  0.511  0.955  0.652  1.0
  O  O19  1  0.955  0.511  0.652  1.0
  O  O20  1  0.158  0.158  0.903  1.0
  O  O21  1  0.829  0.829  0.417  1.0
  O  O22  1  0.041  0.471  0.146  1.0
  O  O23  1  0.471  0.041  0.146  1.0
  O  O24  1  0.334  0.334  0.390  1.0
  O  O25  1  0.174  0.660  0.909  1.0
  O  O26  1  0.487  0.487  0.142  1.0
  O  O27  1  0.660  0.174  0.909  1.0
[/CIF]
.
The structure described by Li4Nb2Fe3Sn3O16 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 Fe(1)O6 octahedra, corners with two equivalent Sn(1)O6 octahedra, corners with two equivalent Sn(2)O6 octahedra, corners with three equivalent Nb(2)O6 octahedra, and corners with four equivalent Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-65°. 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 trigonal pyramids that share  a cornercorner with one Sn(2)O6 octahedra, corners with two equivalent Fe(2)O6 octahedra, corners with three equivalent Nb(2)O6 octahedra,  an edgeedge with one Fe(1)O6 octahedra, and edges with two equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 62-66°. In the third Li site, Li(3) is bonded to one O(4), one O(8), and two equivalent O(1) atoms to form LiO4 tetrahedra that share  a cornercorner with one Fe(1)O6 octahedra, corners with two equivalent Sn(1)O6 octahedra, corners with three equivalent Nb(1)O6 octahedra,  an edgeedge with one Sn(2)O6 octahedra, and edges with two equivalent Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-62°. 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 Sn(2)O6 octahedra, corners with two equivalent Fe(1)O6 octahedra, corners with two equivalent Fe(2)O6 octahedra, corners with three equivalent Nb(1)O6 octahedra, and corners with four equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 58-63°. There are two inequivalent Nb sites. In the first Nb site, Nb(1) is bonded to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms to form distorted NbO6 octahedra that share corners with two equivalent Sn(2)O6 octahedra, corners with four equivalent Fe(2)O6 octahedra, corners with three equivalent Li(3)O4 tetrahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Fe(1)O6 octahedra, and edges with two equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-52°. In the second Nb site, Nb(2) is bonded to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form distorted NbO6 octahedra that share corners with two equivalent Fe(1)O6 octahedra, corners with four equivalent Sn(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra, corners with three equivalent Li(2)O4 trigonal pyramids,  an edgeedge with one Sn(2)O6 octahedra, and edges with two equivalent Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 46-53°. There are two inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form FeO6 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 four equivalent Sn(1)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 46°. In the second Fe site, Fe(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 FeO6 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,  a cornercorner with one Li(2)O4 trigonal pyramid,  an edgeedge with one Nb(2)O6 octahedra, edges with two equivalent Fe(2)O6 octahedra, edges with two equivalent Sn(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 50-52°. There are two inequivalent Sn sites. In the first Sn site, Sn(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 SnO6 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 Fe(1)O6 octahedra, edges with two equivalent Sn(1)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 52-53°. In the second Sn site, Sn(2) is bonded to one O(10), one O(5), two equivalent O(1), and two equivalent O(9) atoms to form SnO6 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,  a cornercorner with one Li(2)O4 trigonal pyramid,  an edgeedge with one Nb(2)O6 octahedra, edges with four equivalent Fe(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 51°. 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(1), one Fe(2), and one Sn(2) atom. In the second O site, O(2) is bonded to one Li(4), one Nb(1), and two equivalent Sn(1) atoms to form distorted OLiNbSn2 trigonal pyramids that share corners with two equivalent O(4)LiFeSn2 tetrahedra, corners with two equivalent O(6)LiNbFeSn tetrahedra,  a cornercorner with one O(10)LiFe2Sn trigonal pyramid, and edges with two equivalent O(6)LiNbFeSn tetrahedra. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(1), one Fe(1), and two equivalent Sn(1) atoms. In the fourth O site, O(4) is bonded to one Li(3), one Fe(1), and two equivalent Sn(1) atoms to form distorted OLiFeSn2 tetrahedra that share corners with four equivalent O(6)LiNbFeSn tetrahedra and corners with two equivalent O(2)LiNbSn2 trigonal pyramids. In the fifth O site, O(5) is bonded to one Li(2), two equivalent Fe(2), and one Sn(2) atom to form corner-sharing OLiFe2Sn tetrahedra. In the sixth O site, O(6) is bonded to one Li(4), one Nb(1), one Fe(1), and one Sn(1) atom to form distorted OLiNbFeSn tetrahedra that share  a cornercorner with one O(6)LiNbFeSn tetrahedra, corners with two equivalent O(4)LiFeSn2 tetrahedra,  a cornercorner with one O(10)LiFe2Sn trigonal pyramid,  a cornercorner with one O(2)LiNbSn2 trigonal pyramid,  an edgeedge with one O(6)LiNbFeSn tetrahedra, and  an edgeedge with one O(2)LiNbSn2 trigonal pyramid. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Li(2), one Nb(2), and two equivalent Sn(1) atoms. In the eighth O site, O(8) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), one Nb(1), and two equivalent Fe(2) atoms. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Li(1), one Nb(2), one Fe(2), and one Sn(2) atom. In the tenth O site, O(10) is bonded to one Li(4), two equivalent Fe(2), and one Sn(2) atom to form distorted OLiFe2Sn trigonal pyramids that share corners with two equivalent O(6)LiNbFeSn tetrahedra, corners with three equivalent O(5)LiFe2Sn tetrahedra, and  a cornercorner with one O(2)LiNbSn2 trigonal pyramid. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one Nb(2), one Fe(1), and one Sn(1) atom. In the twelfth O site, O(12) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Nb(2), and two equivalent Fe(2) atoms. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li4Nb2Fe3Sn3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.227
_cell_length_b   6.227
_cell_length_c   9.972
_cell_angle_alpha   89.907
_cell_angle_beta   89.907
_cell_angle_gamma   59.648
_symmetry_Int_Tables_number   1
_cell_volume   333.624
_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  0.672  0.672  0.098  1.0
  Li  Li1  1  0.993  0.993  0.015  1.0
  Li  Li2  1  0.995  0.995  0.503  1.0
  Li  Li3  1  0.330  0.330  0.595  1.0
  Nb  Nb4  1  0.676  0.676  0.503  1.0
  Nb  Nb5  1  0.352  0.352  0.023  1.0
  Fe  Fe6  1  0.828  0.828  0.788  1.0
  Fe  Fe7  1  0.172  0.660  0.287  1.0
  Fe  Fe8  1  0.660  0.172  0.287  1.0
  Sn  Sn9  1  0.337  0.832  0.785  1.0
  Sn  Sn10  1  0.832  0.337  0.785  1.0
  Sn  Sn11  1  0.171  0.171  0.285  1.0
  O  O12  1  0.343  0.839  0.413  1.0
  O  O13  1  0.513  0.513  0.661  1.0
  O  O14  1  0.663  0.663  0.898  1.0
  O  O15  1  0.997  0.997  0.688  1.0
  O  O16  1  0.000  0.000  0.200  1.0
  O  O17  1  0.839  0.343  0.413  1.0
  O  O18  1  0.511  0.955  0.652  1.0
  O  O19  1  0.955  0.511  0.652  1.0
  O  O20  1  0.158  0.158  0.903  1.0
  O  O21  1  0.829  0.829  0.417  1.0
  O  O22  1  0.041  0.471  0.146  1.0
  O  O23  1  0.471  0.041  0.146  1.0
  O  O24  1  0.334  0.334  0.390  1.0
  O  O25  1  0.174  0.660  0.909  1.0
  O  O26  1  0.487  0.487  0.142  1.0
  O  O27  1  0.660  0.174  0.909  1.0
[/CIF]
.