The material described by Li4Ti2V3Sn3O16 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 V(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 V(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-64°. 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 V(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 V(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-62°. 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 V(1)O6 octahedra, corners with two equivalent V(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 56-62°. 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 V(2)O6 octahedra, corners with three equivalent Li(3)O4 tetrahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one V(1)O6 octahedra, and edges with two equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-54°. 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 TiO6 octahedra that share corners with two equivalent V(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 V(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 47-54°. There are two inequivalent V sites. In the first V site, V(1) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form VO6 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 47°. In the second V site, V(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 VO6 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 V(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 are 51°. 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 V(1)O6 octahedra, and edges with two equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-54°. 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 V(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 54°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), one Ti(1), one V(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 distorted rectangular see-saw-like geometry to one Li(1), one V(1), and two equivalent Sn(1) atoms. In the fourth O site, O(4) is bonded to one Li(3), one V(1), and two equivalent Sn(1) atoms to form distorted corner-sharing OLiVSn2 tetrahedra. In the fifth O site, O(5) is bonded to one Li(2), two equivalent V(2), and one Sn(2) atom to form corner-sharing OLiV2Sn tetrahedra. In the sixth O site, O(6) is bonded to one Li(4), one Ti(1), one V(1), and one Sn(1) atom to form distorted OLiTiVSn tetrahedra that share  a cornercorner with one O(6)LiTiVSn tetrahedra, corners with two equivalent O(4)LiVSn2 tetrahedra,  a cornercorner with one O(10)LiV2Sn trigonal pyramid, and  an edgeedge with one O(6)LiTiVSn 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 distorted rectangular see-saw-like geometry to one Li(3), one Ti(1), and two equivalent V(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 V(2), and one Sn(2) atom. In the tenth O site, O(10) is bonded to one Li(4), two equivalent V(2), and one Sn(2) atom to form distorted OLiV2Sn trigonal pyramids that share corners with two equivalent O(6)LiTiVSn tetrahedra and corners with three equivalent O(5)LiV2Sn tetrahedra. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one Ti(2), one V(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 Ti(2), and two equivalent V(2) atoms. is represented by the CIF card [CIF]
data_Li4Ti2V3Sn3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.172
_cell_length_b   6.172
_cell_length_c   9.682
_cell_angle_alpha   89.481
_cell_angle_beta   89.481
_cell_angle_gamma   59.295
_symmetry_Int_Tables_number   1
_cell_volume   317.105
_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  0.673  0.673  0.893  1.0
  Li  Li1  1  0.991  0.991  0.989  1.0
  Li  Li2  1  0.995  0.995  0.501  1.0
  Li  Li3  1  0.333  0.333  0.397  1.0
  Ti  Ti4  1  0.678  0.678  0.502  1.0
  Ti  Ti5  1  0.344  0.344  0.978  1.0
  V  V6  1  0.829  0.829  0.214  1.0
  V  V7  1  0.652  0.183  0.713  1.0
  V  V8  1  0.183  0.652  0.713  1.0
  Sn  Sn9  1  0.829  0.338  0.215  1.0
  Sn  Sn10  1  0.338  0.829  0.215  1.0
  Sn  Sn11  1  0.170  0.170  0.714  1.0
  O  O12  1  0.831  0.346  0.591  1.0
  O  O13  1  0.516  0.516  0.344  1.0
  O  O14  1  0.666  0.666  0.098  1.0
  O  O15  1  0.996  0.996  0.316  1.0
  O  O16  1  0.998  0.998  0.804  1.0
  O  O17  1  0.346  0.831  0.591  1.0
  O  O18  1  0.956  0.525  0.343  1.0
  O  O19  1  0.525  0.956  0.343  1.0
  O  O20  1  0.160  0.160  0.094  1.0
  O  O21  1  0.829  0.829  0.595  1.0
  O  O22  1  0.478  0.046  0.851  1.0
  O  O23  1  0.046  0.478  0.851  1.0
  O  O24  1  0.331  0.331  0.600  1.0
  O  O25  1  0.666  0.160  0.097  1.0
  O  O26  1  0.481  0.481  0.852  1.0
  O  O27  1  0.160  0.666  0.097  1.0
[/CIF]
.
The material described by Li4Ti2V3Sn3O16 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 V(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 V(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-64°. 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 V(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 V(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-62°. 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 V(1)O6 octahedra, corners with two equivalent V(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 56-62°. 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 V(2)O6 octahedra, corners with three equivalent Li(3)O4 tetrahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one V(1)O6 octahedra, and edges with two equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-54°. 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 TiO6 octahedra that share corners with two equivalent V(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 V(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 47-54°. There are two inequivalent V sites. In the first V site, V(1) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form VO6 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 47°. In the second V site, V(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 VO6 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 V(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 are 51°. 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 V(1)O6 octahedra, and edges with two equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-54°. 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 V(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 54°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), one Ti(1), one V(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 distorted rectangular see-saw-like geometry to one Li(1), one V(1), and two equivalent Sn(1) atoms. In the fourth O site, O(4) is bonded to one Li(3), one V(1), and two equivalent Sn(1) atoms to form distorted corner-sharing OLiVSn2 tetrahedra. In the fifth O site, O(5) is bonded to one Li(2), two equivalent V(2), and one Sn(2) atom to form corner-sharing OLiV2Sn tetrahedra. In the sixth O site, O(6) is bonded to one Li(4), one Ti(1), one V(1), and one Sn(1) atom to form distorted OLiTiVSn tetrahedra that share  a cornercorner with one O(6)LiTiVSn tetrahedra, corners with two equivalent O(4)LiVSn2 tetrahedra,  a cornercorner with one O(10)LiV2Sn trigonal pyramid, and  an edgeedge with one O(6)LiTiVSn 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 distorted rectangular see-saw-like geometry to one Li(3), one Ti(1), and two equivalent V(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 V(2), and one Sn(2) atom. In the tenth O site, O(10) is bonded to one Li(4), two equivalent V(2), and one Sn(2) atom to form distorted OLiV2Sn trigonal pyramids that share corners with two equivalent O(6)LiTiVSn tetrahedra and corners with three equivalent O(5)LiV2Sn tetrahedra. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one Ti(2), one V(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 Ti(2), and two equivalent V(2) atoms. is represented by the CIF card [CIF]
data_Li4Ti2V3Sn3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.172
_cell_length_b   6.172
_cell_length_c   9.682
_cell_angle_alpha   89.481
_cell_angle_beta   89.481
_cell_angle_gamma   59.295
_symmetry_Int_Tables_number   1
_cell_volume   317.105
_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  0.673  0.673  0.893  1.0
  Li  Li1  1  0.991  0.991  0.989  1.0
  Li  Li2  1  0.995  0.995  0.501  1.0
  Li  Li3  1  0.333  0.333  0.397  1.0
  Ti  Ti4  1  0.678  0.678  0.502  1.0
  Ti  Ti5  1  0.344  0.344  0.978  1.0
  V  V6  1  0.829  0.829  0.214  1.0
  V  V7  1  0.652  0.183  0.713  1.0
  V  V8  1  0.183  0.652  0.713  1.0
  Sn  Sn9  1  0.829  0.338  0.215  1.0
  Sn  Sn10  1  0.338  0.829  0.215  1.0
  Sn  Sn11  1  0.170  0.170  0.714  1.0
  O  O12  1  0.831  0.346  0.591  1.0
  O  O13  1  0.516  0.516  0.344  1.0
  O  O14  1  0.666  0.666  0.098  1.0
  O  O15  1  0.996  0.996  0.316  1.0
  O  O16  1  0.998  0.998  0.804  1.0
  O  O17  1  0.346  0.831  0.591  1.0
  O  O18  1  0.956  0.525  0.343  1.0
  O  O19  1  0.525  0.956  0.343  1.0
  O  O20  1  0.160  0.160  0.094  1.0
  O  O21  1  0.829  0.829  0.595  1.0
  O  O22  1  0.478  0.046  0.851  1.0
  O  O23  1  0.046  0.478  0.851  1.0
  O  O24  1  0.331  0.331  0.600  1.0
  O  O25  1  0.666  0.160  0.097  1.0
  O  O26  1  0.481  0.481  0.852  1.0
  O  O27  1  0.160  0.666  0.097  1.0
[/CIF]
.