The structure described by Li4Fe3Sn2Sb3O16 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 Sb(1)O6 octahedra, corners with two equivalent Sb(2)O6 octahedra, corners with three equivalent Sn(2)O6 octahedra, and corners with four equivalent Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-64°. 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 tetrahedra that share  a cornercorner with one Fe(1)O6 octahedra, corners with two equivalent Sb(1)O6 octahedra, corners with three equivalent Sn(1)O6 octahedra,  an edgeedge with one Sb(2)O6 octahedra, and edges with two equivalent Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-65°. 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 Sb(2)O6 octahedra, corners with two equivalent Fe(1)O6 octahedra, corners with two equivalent Fe(2)O6 octahedra, corners with three equivalent Sn(1)O6 octahedra, and corners with four equivalent Sb(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-65°. 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 Sn(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 Sn(1)O6 octahedra, and edges with four equivalent Sb(1)O6 octahedra. The corner-sharing octahedral tilt angles are 51°. 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 Sn(1)O6 octahedra,  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 Fe(2)O6 octahedra, edges with two equivalent Sb(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 54°. 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 distorted SnO6 octahedra that share corners with two equivalent Sb(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 Sb(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-54°. 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 SnO6 octahedra that share corners with two equivalent Fe(1)O6 octahedra, corners with four equivalent Sb(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one Sb(2)O6 octahedra, and edges with two equivalent Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-53°. There are two inequivalent Sb sites. In the first Sb site, Sb(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 SbO6 octahedra that share corners with two equivalent Sn(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 Sn(1)O6 octahedra, edges with two equivalent Fe(1)O6 octahedra, and edges with two equivalent Sb(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-53°. In the second Sb site, Sb(2) is bonded to one O(10), one O(5), two equivalent O(1), and two equivalent O(9) atoms to form SbO6 octahedra that share corners with two equivalent Sn(1)O6 octahedra,  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 four equivalent Fe(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 53°. 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 Fe(2), one Sn(1), and one Sb(2) atom. In the second O site, O(2) is bonded in a 4-coordinate geometry to one Li(4), one Sn(1), and two equivalent Sb(1) atoms. In the third O site, O(3) is bonded to one Li(1), one Fe(1), and two equivalent Sb(1) atoms to form distorted OLiFeSb2 trigonal pyramids that share corners with three equivalent O(4)LiFeSb2 tetrahedra and edges with two equivalent O(6)LiFeSnSb tetrahedra. In the fourth O site, O(4) is bonded to one Li(3), one Fe(1), and two equivalent Sb(1) atoms to form distorted OLiFeSb2 tetrahedra that share corners with four equivalent O(6)LiFeSnSb tetrahedra and corners with three equivalent O(3)LiFeSb2 trigonal pyramids. In the fifth O site, O(5) is bonded in a distorted tetrahedral geometry to one Li(2), two equivalent Fe(2), and one Sb(2) atom. In the sixth O site, O(6) is bonded to one Li(4), one Fe(1), one Sn(1), and one Sb(1) atom to form distorted OLiFeSnSb tetrahedra that share  a cornercorner with one O(6)LiFeSnSb tetrahedra, corners with two equivalent O(4)LiFeSb2 tetrahedra,  an edgeedge with one O(6)LiFeSnSb tetrahedra, and  an edgeedge with one O(3)LiFeSb2 trigonal pyramid. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Li(2), one Sn(2), and two equivalent Sb(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 Fe(2), and one Sn(1) atom. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Li(1), one Fe(2), one Sn(2), and one Sb(2) atom. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to one Li(4), two equivalent Fe(2), and one Sb(2) atom. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one Fe(1), one Sn(2), and one Sb(1) atom. In the twelfth O site, O(12) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), two equivalent Fe(2), and one Sn(2) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li4Fe3Sn2Sb3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.247
_cell_length_b   6.247
_cell_length_c   9.936
_cell_angle_alpha   89.324
_cell_angle_beta   89.324
_cell_angle_gamma   59.923
_symmetry_Int_Tables_number   1
_cell_volume   335.446
_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  0.662  0.662  0.113  1.0
  Li  Li1  1  0.987  0.987  0.016  1.0
  Li  Li2  1  0.994  0.994  0.499  1.0
  Li  Li3  1  0.326  0.326  0.594  1.0
  Fe  Fe4  1  0.830  0.830  0.786  1.0
  Fe  Fe5  1  0.175  0.664  0.288  1.0
  Fe  Fe6  1  0.664  0.175  0.288  1.0
  Sn  Sn7  1  0.678  0.678  0.498  1.0
  Sn  Sn8  1  0.343  0.343  0.021  1.0
  Sb  Sb9  1  0.338  0.832  0.785  1.0
  Sb  Sb10  1  0.832  0.338  0.785  1.0
  Sb  Sb11  1  0.173  0.173  0.286  1.0
  O  O12  1  0.330  0.851  0.407  1.0
  O  O13  1  0.516  0.516  0.661  1.0
  O  O14  1  0.663  0.663  0.893  1.0
  O  O15  1  0.001  0.001  0.687  1.0
  O  O16  1  0.013  0.013  0.196  1.0
  O  O17  1  0.851  0.330  0.407  1.0
  O  O18  1  0.514  0.959  0.662  1.0
  O  O19  1  0.959  0.514  0.662  1.0
  O  O20  1  0.161  0.161  0.896  1.0
  O  O21  1  0.842  0.842  0.404  1.0
  O  O22  1  0.032  0.470  0.155  1.0
  O  O23  1  0.470  0.032  0.155  1.0
  O  O24  1  0.322  0.322  0.397  1.0
  O  O25  1  0.166  0.680  0.899  1.0
  O  O26  1  0.483  0.483  0.156  1.0
  O  O27  1  0.680  0.166  0.899  1.0
[/CIF]
.
The structure described by Li4Fe3Sn2Sb3O16 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 Sb(1)O6 octahedra, corners with two equivalent Sb(2)O6 octahedra, corners with three equivalent Sn(2)O6 octahedra, and corners with four equivalent Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-64°. 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 tetrahedra that share  a cornercorner with one Fe(1)O6 octahedra, corners with two equivalent Sb(1)O6 octahedra, corners with three equivalent Sn(1)O6 octahedra,  an edgeedge with one Sb(2)O6 octahedra, and edges with two equivalent Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-65°. 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 Sb(2)O6 octahedra, corners with two equivalent Fe(1)O6 octahedra, corners with two equivalent Fe(2)O6 octahedra, corners with three equivalent Sn(1)O6 octahedra, and corners with four equivalent Sb(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-65°. 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 Sn(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 Sn(1)O6 octahedra, and edges with four equivalent Sb(1)O6 octahedra. The corner-sharing octahedral tilt angles are 51°. 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 Sn(1)O6 octahedra,  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 Fe(2)O6 octahedra, edges with two equivalent Sb(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 54°. 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 distorted SnO6 octahedra that share corners with two equivalent Sb(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 Sb(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-54°. 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 SnO6 octahedra that share corners with two equivalent Fe(1)O6 octahedra, corners with four equivalent Sb(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one Sb(2)O6 octahedra, and edges with two equivalent Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-53°. There are two inequivalent Sb sites. In the first Sb site, Sb(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 SbO6 octahedra that share corners with two equivalent Sn(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 Sn(1)O6 octahedra, edges with two equivalent Fe(1)O6 octahedra, and edges with two equivalent Sb(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-53°. In the second Sb site, Sb(2) is bonded to one O(10), one O(5), two equivalent O(1), and two equivalent O(9) atoms to form SbO6 octahedra that share corners with two equivalent Sn(1)O6 octahedra,  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 four equivalent Fe(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 53°. 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 Fe(2), one Sn(1), and one Sb(2) atom. In the second O site, O(2) is bonded in a 4-coordinate geometry to one Li(4), one Sn(1), and two equivalent Sb(1) atoms. In the third O site, O(3) is bonded to one Li(1), one Fe(1), and two equivalent Sb(1) atoms to form distorted OLiFeSb2 trigonal pyramids that share corners with three equivalent O(4)LiFeSb2 tetrahedra and edges with two equivalent O(6)LiFeSnSb tetrahedra. In the fourth O site, O(4) is bonded to one Li(3), one Fe(1), and two equivalent Sb(1) atoms to form distorted OLiFeSb2 tetrahedra that share corners with four equivalent O(6)LiFeSnSb tetrahedra and corners with three equivalent O(3)LiFeSb2 trigonal pyramids. In the fifth O site, O(5) is bonded in a distorted tetrahedral geometry to one Li(2), two equivalent Fe(2), and one Sb(2) atom. In the sixth O site, O(6) is bonded to one Li(4), one Fe(1), one Sn(1), and one Sb(1) atom to form distorted OLiFeSnSb tetrahedra that share  a cornercorner with one O(6)LiFeSnSb tetrahedra, corners with two equivalent O(4)LiFeSb2 tetrahedra,  an edgeedge with one O(6)LiFeSnSb tetrahedra, and  an edgeedge with one O(3)LiFeSb2 trigonal pyramid. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Li(2), one Sn(2), and two equivalent Sb(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 Fe(2), and one Sn(1) atom. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Li(1), one Fe(2), one Sn(2), and one Sb(2) atom. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to one Li(4), two equivalent Fe(2), and one Sb(2) atom. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one Fe(1), one Sn(2), and one Sb(1) atom. In the twelfth O site, O(12) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), two equivalent Fe(2), and one Sn(2) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li4Fe3Sn2Sb3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.247
_cell_length_b   6.247
_cell_length_c   9.936
_cell_angle_alpha   89.324
_cell_angle_beta   89.324
_cell_angle_gamma   59.923
_symmetry_Int_Tables_number   1
_cell_volume   335.446
_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  0.662  0.662  0.113  1.0
  Li  Li1  1  0.987  0.987  0.016  1.0
  Li  Li2  1  0.994  0.994  0.499  1.0
  Li  Li3  1  0.326  0.326  0.594  1.0
  Fe  Fe4  1  0.830  0.830  0.786  1.0
  Fe  Fe5  1  0.175  0.664  0.288  1.0
  Fe  Fe6  1  0.664  0.175  0.288  1.0
  Sn  Sn7  1  0.678  0.678  0.498  1.0
  Sn  Sn8  1  0.343  0.343  0.021  1.0
  Sb  Sb9  1  0.338  0.832  0.785  1.0
  Sb  Sb10  1  0.832  0.338  0.785  1.0
  Sb  Sb11  1  0.173  0.173  0.286  1.0
  O  O12  1  0.330  0.851  0.407  1.0
  O  O13  1  0.516  0.516  0.661  1.0
  O  O14  1  0.663  0.663  0.893  1.0
  O  O15  1  0.001  0.001  0.687  1.0
  O  O16  1  0.013  0.013  0.196  1.0
  O  O17  1  0.851  0.330  0.407  1.0
  O  O18  1  0.514  0.959  0.662  1.0
  O  O19  1  0.959  0.514  0.662  1.0
  O  O20  1  0.161  0.161  0.896  1.0
  O  O21  1  0.842  0.842  0.404  1.0
  O  O22  1  0.032  0.470  0.155  1.0
  O  O23  1  0.470  0.032  0.155  1.0
  O  O24  1  0.322  0.322  0.397  1.0
  O  O25  1  0.166  0.680  0.899  1.0
  O  O26  1  0.483  0.483  0.156  1.0
  O  O27  1  0.680  0.166  0.899  1.0
[/CIF]
.