The structure described by Li4Ti3V3(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 V(1)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra, corners with three equivalent Sn(2)O6 octahedra, and corners with four equivalent V(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-64°. 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 trigonal pyramids that share  a cornercorner with one V(1)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, corners with three equivalent Sn(1)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra, and edges with two equivalent V(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 61-66°. 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 Ti(2)O6 octahedra, corners with two equivalent V(1)O6 octahedra, corners with two equivalent V(2)O6 octahedra, corners with three equivalent Sn(1)O6 octahedra, and corners with four equivalent Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-63°. There are two inequivalent Ti sites. In the first Ti site, Ti(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 TiO6 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,  a cornercorner with one Li(3)O4 trigonal pyramid,  an edgeedge with one Sn(1)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, and edges with two equivalent V(1)O6 octahedra. The corner-sharing octahedral tilt angles are 51°. In the second Ti site, Ti(2) is bonded to one O(10), one O(5), two equivalent O(1), and two equivalent O(9) atoms to form TiO6 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 V(2)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 50°. 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 Sn(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  a cornercorner with one Li(3)O4 trigonal pyramid,  an edgeedge with one Sn(1)O6 octahedra, and edges with four equivalent Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles are 55°. 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 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 Ti(2)O6 octahedra, edges with two equivalent V(2)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 53-54°. 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 SnO6 octahedra that share corners with two equivalent Ti(2)O6 octahedra, corners with four equivalent V(2)O6 octahedra, corners with three equivalent Li(4)O4 tetrahedra, corners with three equivalent Li(3)O4 trigonal pyramids,  an edgeedge with one V(1)O6 octahedra, and edges with two equivalent Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-54°. 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 V(1)O6 octahedra, corners with four equivalent Ti(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one Ti(2)O6 octahedra, and edges with two equivalent V(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-55°. 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 Ti(2), one V(2), and one Sn(1) atom. In the second O site, O(2) is bonded to one Li(4), two equivalent Ti(1), and one Sn(1) atom to form distorted OLiTi2Sn tetrahedra that share corners with two equivalent O(4)LiTi2V tetrahedra, corners with two equivalent O(6)LiTiVSn trigonal pyramids, and edges with two equivalent O(6)LiTiVSn trigonal pyramids. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(1), two equivalent Ti(1), and one V(1) atom. In the fourth O site, O(4) is bonded to one Li(3), two equivalent Ti(1), and one V(1) atom to form OLiTi2V tetrahedra that share corners with two equivalent O(2)LiTi2Sn tetrahedra and corners with four equivalent O(6)LiTiVSn trigonal pyramids. In the fifth O site, O(5) is bonded to one Li(2), one Ti(2), and two equivalent V(2) atoms to form corner-sharing OLiTiV2 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 trigonal pyramids that share  a cornercorner with one O(2)LiTi2Sn tetrahedra, corners with two equivalent O(4)LiTi2V tetrahedra,  a cornercorner with one O(6)LiTiVSn trigonal pyramid,  an edgeedge with one O(2)LiTi2Sn tetrahedra, and  an edgeedge with one O(6)LiTiVSn trigonal pyramid. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Li(2), two equivalent Ti(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 V(2), and one Sn(1) atom. In the ninth O site, O(9) is bonded in a distorted 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 in a rectangular see-saw-like geometry to one Li(4), one Ti(2), and two equivalent V(2) atoms. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one Ti(1), one V(1), and one Sn(2) atom. In the twelfth O site, O(12) is bonded to one Li(1), two equivalent V(2), and one Sn(2) atom to form distorted corner-sharing OLiV2Sn tetrahedra. is represented by the CIF card [CIF]
data_Li4Ti3V3(SnO8)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.013
_cell_length_b   6.013
_cell_length_c   9.858
_cell_angle_alpha   89.322
_cell_angle_beta   89.322
_cell_angle_gamma   59.982
_symmetry_Int_Tables_number   1
_cell_volume   308.580
_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  0.666  0.666  0.104  1.0
  Li  Li1  1  0.998  0.998  0.007  1.0
  Li  Li2  1  0.003  0.003  0.509  1.0
  Li  Li3  1  0.332  0.332  0.602  1.0
  Ti  Ti4  1  0.342  0.833  0.785  1.0
  Ti  Ti5  1  0.833  0.342  0.785  1.0
  Ti  Ti6  1  0.170  0.170  0.282  1.0
  V  V7  1  0.824  0.824  0.788  1.0
  V  V8  1  0.171  0.659  0.287  1.0
  V  V9  1  0.659  0.171  0.287  1.0
  Sn  Sn10  1  0.669  0.669  0.506  1.0
  Sn  Sn11  1  0.338  0.338  0.010  1.0
  O  O12  1  0.327  0.844  0.399  1.0
  O  O13  1  0.518  0.518  0.666  1.0
  O  O14  1  0.652  0.652  0.897  1.0
  O  O15  1  0.005  0.005  0.695  1.0
  O  O16  1  0.004  0.004  0.192  1.0
  O  O17  1  0.844  0.327  0.399  1.0
  O  O18  1  0.505  0.964  0.657  1.0
  O  O19  1  0.964  0.505  0.657  1.0
  O  O20  1  0.166  0.166  0.896  1.0
  O  O21  1  0.843  0.843  0.403  1.0
  O  O22  1  0.035  0.473  0.160  1.0
  O  O23  1  0.473  0.035  0.160  1.0
  O  O24  1  0.327  0.327  0.394  1.0
  O  O25  1  0.169  0.679  0.901  1.0
  O  O26  1  0.483  0.483  0.163  1.0
  O  O27  1  0.679  0.169  0.901  1.0
[/CIF]
.
The structure described by Li4Ti3V3(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 V(1)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra, corners with three equivalent Sn(2)O6 octahedra, and corners with four equivalent V(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-64°. 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 trigonal pyramids that share  a cornercorner with one V(1)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, corners with three equivalent Sn(1)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra, and edges with two equivalent V(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 61-66°. 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 Ti(2)O6 octahedra, corners with two equivalent V(1)O6 octahedra, corners with two equivalent V(2)O6 octahedra, corners with three equivalent Sn(1)O6 octahedra, and corners with four equivalent Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-63°. There are two inequivalent Ti sites. In the first Ti site, Ti(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 TiO6 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,  a cornercorner with one Li(3)O4 trigonal pyramid,  an edgeedge with one Sn(1)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, and edges with two equivalent V(1)O6 octahedra. The corner-sharing octahedral tilt angles are 51°. In the second Ti site, Ti(2) is bonded to one O(10), one O(5), two equivalent O(1), and two equivalent O(9) atoms to form TiO6 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 V(2)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 50°. 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 Sn(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  a cornercorner with one Li(3)O4 trigonal pyramid,  an edgeedge with one Sn(1)O6 octahedra, and edges with four equivalent Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles are 55°. 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 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 Ti(2)O6 octahedra, edges with two equivalent V(2)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 53-54°. 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 SnO6 octahedra that share corners with two equivalent Ti(2)O6 octahedra, corners with four equivalent V(2)O6 octahedra, corners with three equivalent Li(4)O4 tetrahedra, corners with three equivalent Li(3)O4 trigonal pyramids,  an edgeedge with one V(1)O6 octahedra, and edges with two equivalent Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-54°. 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 V(1)O6 octahedra, corners with four equivalent Ti(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one Ti(2)O6 octahedra, and edges with two equivalent V(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-55°. 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 Ti(2), one V(2), and one Sn(1) atom. In the second O site, O(2) is bonded to one Li(4), two equivalent Ti(1), and one Sn(1) atom to form distorted OLiTi2Sn tetrahedra that share corners with two equivalent O(4)LiTi2V tetrahedra, corners with two equivalent O(6)LiTiVSn trigonal pyramids, and edges with two equivalent O(6)LiTiVSn trigonal pyramids. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(1), two equivalent Ti(1), and one V(1) atom. In the fourth O site, O(4) is bonded to one Li(3), two equivalent Ti(1), and one V(1) atom to form OLiTi2V tetrahedra that share corners with two equivalent O(2)LiTi2Sn tetrahedra and corners with four equivalent O(6)LiTiVSn trigonal pyramids. In the fifth O site, O(5) is bonded to one Li(2), one Ti(2), and two equivalent V(2) atoms to form corner-sharing OLiTiV2 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 trigonal pyramids that share  a cornercorner with one O(2)LiTi2Sn tetrahedra, corners with two equivalent O(4)LiTi2V tetrahedra,  a cornercorner with one O(6)LiTiVSn trigonal pyramid,  an edgeedge with one O(2)LiTi2Sn tetrahedra, and  an edgeedge with one O(6)LiTiVSn trigonal pyramid. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Li(2), two equivalent Ti(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 V(2), and one Sn(1) atom. In the ninth O site, O(9) is bonded in a distorted 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 in a rectangular see-saw-like geometry to one Li(4), one Ti(2), and two equivalent V(2) atoms. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one Ti(1), one V(1), and one Sn(2) atom. In the twelfth O site, O(12) is bonded to one Li(1), two equivalent V(2), and one Sn(2) atom to form distorted corner-sharing OLiV2Sn tetrahedra. is represented by the CIF card [CIF]
data_Li4Ti3V3(SnO8)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.013
_cell_length_b   6.013
_cell_length_c   9.858
_cell_angle_alpha   89.322
_cell_angle_beta   89.322
_cell_angle_gamma   59.982
_symmetry_Int_Tables_number   1
_cell_volume   308.580
_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  0.666  0.666  0.104  1.0
  Li  Li1  1  0.998  0.998  0.007  1.0
  Li  Li2  1  0.003  0.003  0.509  1.0
  Li  Li3  1  0.332  0.332  0.602  1.0
  Ti  Ti4  1  0.342  0.833  0.785  1.0
  Ti  Ti5  1  0.833  0.342  0.785  1.0
  Ti  Ti6  1  0.170  0.170  0.282  1.0
  V  V7  1  0.824  0.824  0.788  1.0
  V  V8  1  0.171  0.659  0.287  1.0
  V  V9  1  0.659  0.171  0.287  1.0
  Sn  Sn10  1  0.669  0.669  0.506  1.0
  Sn  Sn11  1  0.338  0.338  0.010  1.0
  O  O12  1  0.327  0.844  0.399  1.0
  O  O13  1  0.518  0.518  0.666  1.0
  O  O14  1  0.652  0.652  0.897  1.0
  O  O15  1  0.005  0.005  0.695  1.0
  O  O16  1  0.004  0.004  0.192  1.0
  O  O17  1  0.844  0.327  0.399  1.0
  O  O18  1  0.505  0.964  0.657  1.0
  O  O19  1  0.964  0.505  0.657  1.0
  O  O20  1  0.166  0.166  0.896  1.0
  O  O21  1  0.843  0.843  0.403  1.0
  O  O22  1  0.035  0.473  0.160  1.0
  O  O23  1  0.473  0.035  0.160  1.0
  O  O24  1  0.327  0.327  0.394  1.0
  O  O25  1  0.169  0.679  0.901  1.0
  O  O26  1  0.483  0.483  0.163  1.0
  O  O27  1  0.679  0.169  0.901  1.0
[/CIF]
.