The structure described by Li4Ti2Mn3Sn3O16 is Hausmannite-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 Mn(1)O6 octahedra, corners with two equivalent Sn(1)O6 octahedra, corners with two equivalent Sn(2)O6 octahedra, corners with three equivalent Ti(2)O6 octahedra, and corners with four equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 47-65°. In the second Li site, Li(2) is bonded in a distorted 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 LiO4 tetrahedra that share  a cornercorner with one Mn(1)O6 octahedra, corners with two equivalent Sn(1)O6 octahedra, corners with three equivalent Ti(1)O6 octahedra,  an edgeedge with one Sn(2)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-66°. 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 Mn(1)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, corners with three equivalent Ti(1)O6 octahedra, and corners with four equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-63°. There are two inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms to form distorted TiO6 octahedra that share corners with two equivalent Sn(2)O6 octahedra, corners with four equivalent Mn(2)O6 octahedra, corners with three equivalent Li(3)O4 tetrahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Mn(1)O6 octahedra, and edges with two equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-53°. In the second Ti site, Ti(2) is bonded to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form distorted TiO6 octahedra that share corners with two equivalent Mn(1)O6 octahedra, corners with four equivalent Sn(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one Sn(2)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 43-58°. There are two inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form MnO6 octahedra that share corners with two equivalent Ti(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 Ti(1)O6 octahedra, and edges with four equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles are 43°. In the second Mn site, Mn(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 MnO6 octahedra that share corners with two equivalent Ti(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Ti(2)O6 octahedra, edges with two equivalent Mn(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 48-53°. 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 Ti(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 Ti(1)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, and edges with two equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-58°. 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 Ti(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Ti(2)O6 octahedra, edges with four equivalent Mn(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 52°. 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 Ti(1), one Mn(2), and one Sn(2) atom. In the second O site, O(2) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), one Ti(1), and two equivalent Sn(1) atoms. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(1), one Mn(1), and two equivalent Sn(1) atoms. In the fourth O site, O(4) is bonded to one Li(3), one Mn(1), and two equivalent Sn(1) atoms to form distorted corner-sharing OLiMnSn2 tetrahedra. In the fifth O site, O(5) is bonded in a tetrahedral geometry to one Li(2), two equivalent Mn(2), and one Sn(2) atom. In the sixth O site, O(6) is bonded to one Li(4), one Ti(1), one Mn(1), and one Sn(1) atom to form distorted OLiTiMnSn tetrahedra that share  a cornercorner with one O(6)LiTiMnSn tetrahedra, corners with two equivalent O(4)LiMnSn2 tetrahedra, and  an edgeedge with one O(6)LiTiMnSn tetrahedra. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Li(2), one Ti(2), and two equivalent Sn(1) atoms. In the eighth O site, O(8) is bonded in a 4-coordinate geometry to one Li(3), one Ti(1), and two equivalent Mn(2) atoms. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Li(1), one Ti(2), one Mn(2), and one Sn(2) atom. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to one Li(4), two equivalent Mn(2), and one Sn(2) atom. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one Ti(2), one Mn(1), and one Sn(1) atom. In the twelfth O site, O(12) is bonded in a 4-coordinate geometry to one Li(1), one Ti(2), and two equivalent Mn(2) atoms. is represented by the CIF file [CIF]
data_Li4Ti2Mn3Sn3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.171
_cell_length_b   6.171
_cell_length_c   9.738
_cell_angle_alpha   89.147
_cell_angle_beta   89.147
_cell_angle_gamma   59.891
_symmetry_Int_Tables_number   1
_cell_volume   320.700
_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  0.676  0.676  0.897  1.0
  Li  Li1  1  0.987  0.987  0.988  1.0
  Li  Li2  1  0.992  0.992  0.500  1.0
  Li  Li3  1  0.332  0.332  0.398  1.0
  Ti  Ti4  1  0.672  0.672  0.499  1.0
  Ti  Ti5  1  0.350  0.350  0.982  1.0
  Mn  Mn6  1  0.826  0.826  0.219  1.0
  Mn  Mn7  1  0.662  0.174  0.712  1.0
  Mn  Mn8  1  0.174  0.662  0.712  1.0
  Sn  Sn9  1  0.829  0.334  0.211  1.0
  Sn  Sn10  1  0.334  0.829  0.211  1.0
  Sn  Sn11  1  0.173  0.173  0.716  1.0
  O  O12  1  0.839  0.337  0.591  1.0
  O  O13  1  0.514  0.514  0.342  1.0
  O  O14  1  0.659  0.659  0.095  1.0
  O  O15  1  0.002  0.002  0.317  1.0
  O  O16  1  0.996  0.996  0.802  1.0
  O  O17  1  0.337  0.839  0.591  1.0
  O  O18  1  0.952  0.528  0.339  1.0
  O  O19  1  0.528  0.952  0.339  1.0
  O  O20  1  0.157  0.157  0.092  1.0
  O  O21  1  0.821  0.821  0.584  1.0
  O  O22  1  0.479  0.046  0.848  1.0
  O  O23  1  0.046  0.479  0.848  1.0
  O  O24  1  0.339  0.339  0.605  1.0
  O  O25  1  0.666  0.151  0.100  1.0
  O  O26  1  0.484  0.484  0.866  1.0
  O  O27  1  0.151  0.666  0.100  1.0
[/CIF]
.
The structure described by Li4Ti2Mn3Sn3O16 is Hausmannite-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 Mn(1)O6 octahedra, corners with two equivalent Sn(1)O6 octahedra, corners with two equivalent Sn(2)O6 octahedra, corners with three equivalent Ti(2)O6 octahedra, and corners with four equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 47-65°. In the second Li site, Li(2) is bonded in a distorted 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 LiO4 tetrahedra that share  a cornercorner with one Mn(1)O6 octahedra, corners with two equivalent Sn(1)O6 octahedra, corners with three equivalent Ti(1)O6 octahedra,  an edgeedge with one Sn(2)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-66°. 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 Mn(1)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, corners with three equivalent Ti(1)O6 octahedra, and corners with four equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-63°. There are two inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms to form distorted TiO6 octahedra that share corners with two equivalent Sn(2)O6 octahedra, corners with four equivalent Mn(2)O6 octahedra, corners with three equivalent Li(3)O4 tetrahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Mn(1)O6 octahedra, and edges with two equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-53°. In the second Ti site, Ti(2) is bonded to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form distorted TiO6 octahedra that share corners with two equivalent Mn(1)O6 octahedra, corners with four equivalent Sn(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one Sn(2)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 43-58°. There are two inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form MnO6 octahedra that share corners with two equivalent Ti(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 Ti(1)O6 octahedra, and edges with four equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles are 43°. In the second Mn site, Mn(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 MnO6 octahedra that share corners with two equivalent Ti(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Ti(2)O6 octahedra, edges with two equivalent Mn(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 48-53°. 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 Ti(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 Ti(1)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, and edges with two equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-58°. 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 Ti(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Ti(2)O6 octahedra, edges with four equivalent Mn(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 52°. 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 Ti(1), one Mn(2), and one Sn(2) atom. In the second O site, O(2) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), one Ti(1), and two equivalent Sn(1) atoms. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(1), one Mn(1), and two equivalent Sn(1) atoms. In the fourth O site, O(4) is bonded to one Li(3), one Mn(1), and two equivalent Sn(1) atoms to form distorted corner-sharing OLiMnSn2 tetrahedra. In the fifth O site, O(5) is bonded in a tetrahedral geometry to one Li(2), two equivalent Mn(2), and one Sn(2) atom. In the sixth O site, O(6) is bonded to one Li(4), one Ti(1), one Mn(1), and one Sn(1) atom to form distorted OLiTiMnSn tetrahedra that share  a cornercorner with one O(6)LiTiMnSn tetrahedra, corners with two equivalent O(4)LiMnSn2 tetrahedra, and  an edgeedge with one O(6)LiTiMnSn tetrahedra. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Li(2), one Ti(2), and two equivalent Sn(1) atoms. In the eighth O site, O(8) is bonded in a 4-coordinate geometry to one Li(3), one Ti(1), and two equivalent Mn(2) atoms. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Li(1), one Ti(2), one Mn(2), and one Sn(2) atom. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to one Li(4), two equivalent Mn(2), and one Sn(2) atom. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one Ti(2), one Mn(1), and one Sn(1) atom. In the twelfth O site, O(12) is bonded in a 4-coordinate geometry to one Li(1), one Ti(2), and two equivalent Mn(2) atoms. is represented by the CIF file [CIF]
data_Li4Ti2Mn3Sn3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.171
_cell_length_b   6.171
_cell_length_c   9.738
_cell_angle_alpha   89.147
_cell_angle_beta   89.147
_cell_angle_gamma   59.891
_symmetry_Int_Tables_number   1
_cell_volume   320.700
_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  0.676  0.676  0.897  1.0
  Li  Li1  1  0.987  0.987  0.988  1.0
  Li  Li2  1  0.992  0.992  0.500  1.0
  Li  Li3  1  0.332  0.332  0.398  1.0
  Ti  Ti4  1  0.672  0.672  0.499  1.0
  Ti  Ti5  1  0.350  0.350  0.982  1.0
  Mn  Mn6  1  0.826  0.826  0.219  1.0
  Mn  Mn7  1  0.662  0.174  0.712  1.0
  Mn  Mn8  1  0.174  0.662  0.712  1.0
  Sn  Sn9  1  0.829  0.334  0.211  1.0
  Sn  Sn10  1  0.334  0.829  0.211  1.0
  Sn  Sn11  1  0.173  0.173  0.716  1.0
  O  O12  1  0.839  0.337  0.591  1.0
  O  O13  1  0.514  0.514  0.342  1.0
  O  O14  1  0.659  0.659  0.095  1.0
  O  O15  1  0.002  0.002  0.317  1.0
  O  O16  1  0.996  0.996  0.802  1.0
  O  O17  1  0.337  0.839  0.591  1.0
  O  O18  1  0.952  0.528  0.339  1.0
  O  O19  1  0.528  0.952  0.339  1.0
  O  O20  1  0.157  0.157  0.092  1.0
  O  O21  1  0.821  0.821  0.584  1.0
  O  O22  1  0.479  0.046  0.848  1.0
  O  O23  1  0.046  0.479  0.848  1.0
  O  O24  1  0.339  0.339  0.605  1.0
  O  O25  1  0.666  0.151  0.100  1.0
  O  O26  1  0.484  0.484  0.866  1.0
  O  O27  1  0.151  0.666  0.100  1.0
[/CIF]
.