The structure described by Li4Nb3Fe3(SnO8)2 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 Sn(2)O6 octahedra, and corners with four equivalent Nb(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 46-66°. 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 Sn(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 57-68°. In the third Li site, Li(3) is bonded in a 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 Sn(1)O6 octahedra, and corners with four equivalent Fe(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-64°. 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 Sn(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Sn(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 52°. 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 Sn(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 Sn(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 are 51°. 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 Sn(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Sn(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 54-55°. 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 Sn(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 Sn(2)O6 octahedra, and edges with four equivalent Nb(2)O6 octahedra. The corner-sharing octahedral tilt angles are 53°. There are two inequivalent Sn sites. In the first Sn site, Sn(1) is bonded to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms to form SnO6 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 51-53°. In the second Sn site, Sn(2) is bonded to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form distorted SnO6 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 52-55°. 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 Fe(2), and one Sn(1) atom. In the second O site, O(2) is bonded to one Li(4), two equivalent Fe(1), and one Sn(1) atom to form distorted corner-sharing OLiFe2Sn tetrahedra. 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 corner-sharing OLiNbFe2 tetrahedra. 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 corner-sharing OLiNb2Fe tetrahedra. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to one Li(4), one Nb(1), one Fe(1), and one Sn(1) atom. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Li(2), two equivalent Fe(1), and one Sn(2) atom. 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 Sn(1) atom. In the ninth O site, O(9) is bonded to one Li(1), one Nb(2), one Fe(2), and one Sn(2) atom to form OLiNbFeSn tetrahedra that share  a cornercorner with one O(9)LiNbFeSn tetrahedra, corners with two equivalent O(5)LiNb2Fe tetrahedra, and  an edgeedge with one O(9)LiNbFeSn 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 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 Fe(1), and one Sn(2) atom. In the twelfth O site, O(12) is bonded in a 4-coordinate geometry to one Li(1), two equivalent Nb(2), and one Sn(2) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li4Nb3Fe3(SnO8)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.196
_cell_length_b   6.196
_cell_length_c   10.021
_cell_angle_alpha   89.196
_cell_angle_beta   89.196
_cell_angle_gamma   59.332
_symmetry_Int_Tables_number   1
_cell_volume   330.868
_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  0.670  0.670  0.904  1.0
  Li  Li1  1  0.003  0.003  0.997  1.0
  Li  Li2  1  0.007  0.007  0.482  1.0
  Li  Li3  1  0.340  0.340  0.389  1.0
  Nb  Nb4  1  0.825  0.825  0.218  1.0
  Nb  Nb5  1  0.651  0.174  0.714  1.0
  Nb  Nb6  1  0.174  0.651  0.714  1.0
  Fe  Fe7  1  0.829  0.343  0.211  1.0
  Fe  Fe8  1  0.343  0.829  0.211  1.0
  Fe  Fe9  1  0.168  0.168  0.714  1.0
  Sn  Sn10  1  0.659  0.659  0.483  1.0
  Sn  Sn11  1  0.326  0.326  0.003  1.0
  O  O12  1  0.824  0.324  0.601  1.0
  O  O13  1  0.522  0.522  0.343  1.0
  O  O14  1  0.684  0.684  0.095  1.0
  O  O15  1  0.989  0.989  0.302  1.0
  O  O16  1  0.991  0.991  0.809  1.0
  O  O17  1  0.324  0.824  0.601  1.0
  O  O18  1  0.969  0.532  0.350  1.0
  O  O19  1  0.532  0.969  0.350  1.0
  O  O20  1  0.158  0.158  0.094  1.0
  O  O21  1  0.830  0.830  0.607  1.0
  O  O22  1  0.489  0.046  0.840  1.0
  O  O23  1  0.046  0.489  0.840  1.0
  O  O24  1  0.340  0.340  0.594  1.0
  O  O25  1  0.665  0.153  0.099  1.0
  O  O26  1  0.484  0.484  0.843  1.0
  O  O27  1  0.153  0.665  0.099  1.0
[/CIF]
.
The structure described by Li4Nb3Fe3(SnO8)2 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 Sn(2)O6 octahedra, and corners with four equivalent Nb(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 46-66°. 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 Sn(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 57-68°. In the third Li site, Li(3) is bonded in a 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 Sn(1)O6 octahedra, and corners with four equivalent Fe(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-64°. 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 Sn(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Sn(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 52°. 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 Sn(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 Sn(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 are 51°. 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 Sn(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Sn(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 54-55°. 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 Sn(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 Sn(2)O6 octahedra, and edges with four equivalent Nb(2)O6 octahedra. The corner-sharing octahedral tilt angles are 53°. There are two inequivalent Sn sites. In the first Sn site, Sn(1) is bonded to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms to form SnO6 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 51-53°. In the second Sn site, Sn(2) is bonded to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form distorted SnO6 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 52-55°. 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 Fe(2), and one Sn(1) atom. In the second O site, O(2) is bonded to one Li(4), two equivalent Fe(1), and one Sn(1) atom to form distorted corner-sharing OLiFe2Sn tetrahedra. 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 corner-sharing OLiNbFe2 tetrahedra. 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 corner-sharing OLiNb2Fe tetrahedra. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to one Li(4), one Nb(1), one Fe(1), and one Sn(1) atom. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Li(2), two equivalent Fe(1), and one Sn(2) atom. 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 Sn(1) atom. In the ninth O site, O(9) is bonded to one Li(1), one Nb(2), one Fe(2), and one Sn(2) atom to form OLiNbFeSn tetrahedra that share  a cornercorner with one O(9)LiNbFeSn tetrahedra, corners with two equivalent O(5)LiNb2Fe tetrahedra, and  an edgeedge with one O(9)LiNbFeSn 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 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 Fe(1), and one Sn(2) atom. In the twelfth O site, O(12) is bonded in a 4-coordinate geometry to one Li(1), two equivalent Nb(2), and one Sn(2) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li4Nb3Fe3(SnO8)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.196
_cell_length_b   6.196
_cell_length_c   10.021
_cell_angle_alpha   89.196
_cell_angle_beta   89.196
_cell_angle_gamma   59.332
_symmetry_Int_Tables_number   1
_cell_volume   330.868
_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  0.670  0.670  0.904  1.0
  Li  Li1  1  0.003  0.003  0.997  1.0
  Li  Li2  1  0.007  0.007  0.482  1.0
  Li  Li3  1  0.340  0.340  0.389  1.0
  Nb  Nb4  1  0.825  0.825  0.218  1.0
  Nb  Nb5  1  0.651  0.174  0.714  1.0
  Nb  Nb6  1  0.174  0.651  0.714  1.0
  Fe  Fe7  1  0.829  0.343  0.211  1.0
  Fe  Fe8  1  0.343  0.829  0.211  1.0
  Fe  Fe9  1  0.168  0.168  0.714  1.0
  Sn  Sn10  1  0.659  0.659  0.483  1.0
  Sn  Sn11  1  0.326  0.326  0.003  1.0
  O  O12  1  0.824  0.324  0.601  1.0
  O  O13  1  0.522  0.522  0.343  1.0
  O  O14  1  0.684  0.684  0.095  1.0
  O  O15  1  0.989  0.989  0.302  1.0
  O  O16  1  0.991  0.991  0.809  1.0
  O  O17  1  0.324  0.824  0.601  1.0
  O  O18  1  0.969  0.532  0.350  1.0
  O  O19  1  0.532  0.969  0.350  1.0
  O  O20  1  0.158  0.158  0.094  1.0
  O  O21  1  0.830  0.830  0.607  1.0
  O  O22  1  0.489  0.046  0.840  1.0
  O  O23  1  0.046  0.489  0.840  1.0
  O  O24  1  0.340  0.340  0.594  1.0
  O  O25  1  0.665  0.153  0.099  1.0
  O  O26  1  0.484  0.484  0.843  1.0
  O  O27  1  0.153  0.665  0.099  1.0
[/CIF]
.