The compound described by Li2Mn3SnO8 is Spinel-derived structured and crystallizes in the triclinic P-1 space group. There are two inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(1), one O(4), one O(6), and one O(8) atom to form LiO4 tetrahedra that share  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  a cornercorner with one Mn(4)O6 octahedra, corners with two equivalent Mn(3)O6 octahedra, corners with two equivalent Mn(5)O6 octahedra, corners with two equivalent Mn(6)O6 octahedra, and corners with three equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-66°. In the second Li site, Li(2) is bonded to one O(2), one O(3), one O(5), and one O(7) atom to form LiO4 tetrahedra that share  a cornercorner with one Mn(3)O6 octahedra,  a cornercorner with one Mn(5)O6 octahedra,  a cornercorner with one Mn(6)O6 octahedra, corners with two equivalent Mn(1)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, corners with two equivalent Mn(4)O6 octahedra, and corners with three equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-67°. There are six inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(7) atoms to form MnO6 octahedra that share corners with two equivalent Li(1)O4 tetrahedra, corners with four equivalent Li(2)O4 tetrahedra, edges with two equivalent Mn(2)O6 octahedra, edges with two equivalent Mn(4)O6 octahedra, and edges with two equivalent Sn(1)O6 octahedra. In the second Mn site, Mn(2) is bonded to two equivalent O(1), two equivalent O(5), and two equivalent O(7) atoms to form MnO6 octahedra that share corners with two equivalent Li(1)O4 tetrahedra, corners with four equivalent Li(2)O4 tetrahedra, edges with two equivalent Mn(1)O6 octahedra, edges with two equivalent Mn(4)O6 octahedra, and edges with two equivalent Sn(1)O6 octahedra. In the third Mn site, Mn(3) is bonded to two equivalent O(2), two equivalent O(6), and two equivalent O(8) atoms to form MnO6 octahedra that share corners with two equivalent Li(2)O4 tetrahedra, corners with four equivalent Li(1)O4 tetrahedra, edges with two equivalent Mn(5)O6 octahedra, edges with two equivalent Mn(6)O6 octahedra, and edges with two equivalent Sn(1)O6 octahedra. In the fourth Mn site, Mn(4) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(5) atoms to form MnO6 octahedra that share corners with two equivalent Li(1)O4 tetrahedra, corners with four equivalent Li(2)O4 tetrahedra, edges with two equivalent Mn(1)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, and edges with two equivalent Sn(1)O6 octahedra. In the fifth Mn site, Mn(5) is bonded to two equivalent O(2), two equivalent O(4), and two equivalent O(6) atoms to form MnO6 octahedra that share corners with two equivalent Li(2)O4 tetrahedra, corners with four equivalent Li(1)O4 tetrahedra, edges with two equivalent Mn(3)O6 octahedra, edges with two equivalent Mn(6)O6 octahedra, and edges with two equivalent Sn(1)O6 octahedra. In the sixth Mn site, Mn(6) is bonded to two equivalent O(2), two equivalent O(4), and two equivalent O(8) atoms to form MnO6 octahedra that share corners with two equivalent Li(2)O4 tetrahedra, corners with four equivalent Li(1)O4 tetrahedra, edges with two equivalent Mn(3)O6 octahedra, edges with two equivalent Mn(5)O6 octahedra, and edges with two equivalent Sn(1)O6 octahedra. Sn(1) is bonded to one O(3), one O(4), one O(5), one O(6), one O(7), and one O(8) atom to form SnO6 octahedra that share corners with three equivalent Li(1)O4 tetrahedra, corners with three equivalent Li(2)O4 tetrahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra,  an edgeedge with one Mn(5)O6 octahedra, and  an edgeedge with one Mn(6)O6 octahedra. There are eight inequivalent O sites. In the first O site, O(1) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Mn(1), one Mn(2), and one Mn(4) atom. In the second O site, O(2) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one Mn(3), one Mn(5), and one Mn(6) atom. In the third O site, O(3) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one Mn(1), one Mn(4), and one Sn(1) atom. In the fourth O site, O(4) is bonded in a rectangular see-saw-like geometry to one Li(1), one Mn(5), one Mn(6), and one Sn(1) atom. In the fifth O site, O(5) is bonded in a rectangular see-saw-like geometry to one Li(2), one Mn(2), one Mn(4), and one Sn(1) atom. In the sixth O site, O(6) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Mn(3), one Mn(5), 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), one Mn(1), one Mn(2), and one Sn(1) atom. In the eighth O site, O(8) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Mn(3), one Mn(6), and one Sn(1) atom. is represented by the CIF file [CIF]
data_Li2Mn3SnO8
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.885
_cell_length_b   10.606
_cell_length_c   6.099
_cell_angle_alpha   75.205
_cell_angle_beta   61.094
_cell_angle_gamma   73.879
_symmetry_Int_Tables_number   1
_cell_volume   316.862
_cell_formula_units_Z   2
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  0.447  0.686  0.441  1.0
  Li  Li1  1  0.927  0.185  0.940  1.0
  Li  Li2  1  0.073  0.815  0.060  1.0
  Li  Li3  1  0.553  0.314  0.558  1.0
  Mn  Mn4  1  0.500  1.000  0.000  1.0
  Mn  Mn5  1  0.000  0.000  0.500  1.0
  Mn  Mn6  1  0.500  0.500  1.000  1.0
  Mn  Mn7  1  0.500  1.000  0.500  1.0
  Mn  Mn8  1  0.000  0.500  1.000  1.0
  Mn  Mn9  1  0.000  0.500  0.499  1.0
  Sn  Sn10  1  0.238  0.250  0.250  1.0
  Sn  Sn11  1  0.761  0.750  0.751  1.0
  O  O12  1  0.357  0.897  0.392  1.0
  O  O13  1  0.856  0.398  0.887  1.0
  O  O14  1  0.144  0.602  0.113  1.0
  O  O15  1  0.643  0.103  0.608  1.0
  O  O16  1  0.593  0.120  0.123  1.0
  O  O17  1  0.111  0.609  0.664  1.0
  O  O18  1  0.129  0.119  0.595  1.0
  O  O19  1  0.656  0.619  0.096  1.0
  O  O20  1  0.121  0.106  0.161  1.0
  O  O21  1  0.664  0.619  0.624  1.0
  O  O22  1  0.336  0.381  0.376  1.0
  O  O23  1  0.879  0.894  0.839  1.0
  O  O24  1  0.344  0.381  0.904  1.0
  O  O25  1  0.871  0.881  0.405  1.0
  O  O26  1  0.889  0.391  0.335  1.0
  O  O27  1  0.407  0.880  0.877  1.0
[/CIF]
.
The compound described by Li2Mn3SnO8 is Spinel-derived structured and crystallizes in the triclinic P-1 space group. There are two inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(1), one O(4), one O(6), and one O(8) atom to form LiO4 tetrahedra that share  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  a cornercorner with one Mn(4)O6 octahedra, corners with two equivalent Mn(3)O6 octahedra, corners with two equivalent Mn(5)O6 octahedra, corners with two equivalent Mn(6)O6 octahedra, and corners with three equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-66°. In the second Li site, Li(2) is bonded to one O(2), one O(3), one O(5), and one O(7) atom to form LiO4 tetrahedra that share  a cornercorner with one Mn(3)O6 octahedra,  a cornercorner with one Mn(5)O6 octahedra,  a cornercorner with one Mn(6)O6 octahedra, corners with two equivalent Mn(1)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, corners with two equivalent Mn(4)O6 octahedra, and corners with three equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-67°. There are six inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(7) atoms to form MnO6 octahedra that share corners with two equivalent Li(1)O4 tetrahedra, corners with four equivalent Li(2)O4 tetrahedra, edges with two equivalent Mn(2)O6 octahedra, edges with two equivalent Mn(4)O6 octahedra, and edges with two equivalent Sn(1)O6 octahedra. In the second Mn site, Mn(2) is bonded to two equivalent O(1), two equivalent O(5), and two equivalent O(7) atoms to form MnO6 octahedra that share corners with two equivalent Li(1)O4 tetrahedra, corners with four equivalent Li(2)O4 tetrahedra, edges with two equivalent Mn(1)O6 octahedra, edges with two equivalent Mn(4)O6 octahedra, and edges with two equivalent Sn(1)O6 octahedra. In the third Mn site, Mn(3) is bonded to two equivalent O(2), two equivalent O(6), and two equivalent O(8) atoms to form MnO6 octahedra that share corners with two equivalent Li(2)O4 tetrahedra, corners with four equivalent Li(1)O4 tetrahedra, edges with two equivalent Mn(5)O6 octahedra, edges with two equivalent Mn(6)O6 octahedra, and edges with two equivalent Sn(1)O6 octahedra. In the fourth Mn site, Mn(4) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(5) atoms to form MnO6 octahedra that share corners with two equivalent Li(1)O4 tetrahedra, corners with four equivalent Li(2)O4 tetrahedra, edges with two equivalent Mn(1)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, and edges with two equivalent Sn(1)O6 octahedra. In the fifth Mn site, Mn(5) is bonded to two equivalent O(2), two equivalent O(4), and two equivalent O(6) atoms to form MnO6 octahedra that share corners with two equivalent Li(2)O4 tetrahedra, corners with four equivalent Li(1)O4 tetrahedra, edges with two equivalent Mn(3)O6 octahedra, edges with two equivalent Mn(6)O6 octahedra, and edges with two equivalent Sn(1)O6 octahedra. In the sixth Mn site, Mn(6) is bonded to two equivalent O(2), two equivalent O(4), and two equivalent O(8) atoms to form MnO6 octahedra that share corners with two equivalent Li(2)O4 tetrahedra, corners with four equivalent Li(1)O4 tetrahedra, edges with two equivalent Mn(3)O6 octahedra, edges with two equivalent Mn(5)O6 octahedra, and edges with two equivalent Sn(1)O6 octahedra. Sn(1) is bonded to one O(3), one O(4), one O(5), one O(6), one O(7), and one O(8) atom to form SnO6 octahedra that share corners with three equivalent Li(1)O4 tetrahedra, corners with three equivalent Li(2)O4 tetrahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra,  an edgeedge with one Mn(5)O6 octahedra, and  an edgeedge with one Mn(6)O6 octahedra. There are eight inequivalent O sites. In the first O site, O(1) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Mn(1), one Mn(2), and one Mn(4) atom. In the second O site, O(2) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one Mn(3), one Mn(5), and one Mn(6) atom. In the third O site, O(3) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one Mn(1), one Mn(4), and one Sn(1) atom. In the fourth O site, O(4) is bonded in a rectangular see-saw-like geometry to one Li(1), one Mn(5), one Mn(6), and one Sn(1) atom. In the fifth O site, O(5) is bonded in a rectangular see-saw-like geometry to one Li(2), one Mn(2), one Mn(4), and one Sn(1) atom. In the sixth O site, O(6) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Mn(3), one Mn(5), 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), one Mn(1), one Mn(2), and one Sn(1) atom. In the eighth O site, O(8) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Mn(3), one Mn(6), and one Sn(1) atom. is represented by the CIF file [CIF]
data_Li2Mn3SnO8
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.885
_cell_length_b   10.606
_cell_length_c   6.099
_cell_angle_alpha   75.205
_cell_angle_beta   61.094
_cell_angle_gamma   73.879
_symmetry_Int_Tables_number   1
_cell_volume   316.862
_cell_formula_units_Z   2
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  0.447  0.686  0.441  1.0
  Li  Li1  1  0.927  0.185  0.940  1.0
  Li  Li2  1  0.073  0.815  0.060  1.0
  Li  Li3  1  0.553  0.314  0.558  1.0
  Mn  Mn4  1  0.500  1.000  0.000  1.0
  Mn  Mn5  1  0.000  0.000  0.500  1.0
  Mn  Mn6  1  0.500  0.500  1.000  1.0
  Mn  Mn7  1  0.500  1.000  0.500  1.0
  Mn  Mn8  1  0.000  0.500  1.000  1.0
  Mn  Mn9  1  0.000  0.500  0.499  1.0
  Sn  Sn10  1  0.238  0.250  0.250  1.0
  Sn  Sn11  1  0.761  0.750  0.751  1.0
  O  O12  1  0.357  0.897  0.392  1.0
  O  O13  1  0.856  0.398  0.887  1.0
  O  O14  1  0.144  0.602  0.113  1.0
  O  O15  1  0.643  0.103  0.608  1.0
  O  O16  1  0.593  0.120  0.123  1.0
  O  O17  1  0.111  0.609  0.664  1.0
  O  O18  1  0.129  0.119  0.595  1.0
  O  O19  1  0.656  0.619  0.096  1.0
  O  O20  1  0.121  0.106  0.161  1.0
  O  O21  1  0.664  0.619  0.624  1.0
  O  O22  1  0.336  0.381  0.376  1.0
  O  O23  1  0.879  0.894  0.839  1.0
  O  O24  1  0.344  0.381  0.904  1.0
  O  O25  1  0.871  0.881  0.405  1.0
  O  O26  1  0.889  0.391  0.335  1.0
  O  O27  1  0.407  0.880  0.877  1.0
[/CIF]
.