The compound described by Li4Ti3V2Sn3O16 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 Ti(1)O6 octahedra, corners with two equivalent Sn(1)O6 octahedra, corners with two equivalent Sn(2)O6 octahedra, corners with three equivalent V(2)O6 octahedra, and corners with four equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-63°. 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 Ti(1)O6 octahedra, corners with two equivalent Sn(1)O6 octahedra, corners with three equivalent V(1)O6 octahedra,  an edgeedge with one Sn(2)O6 octahedra, and edges with two equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 60-67°. 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 Ti(1)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra, corners with three equivalent V(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(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form TiO6 octahedra that share corners with two equivalent V(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 V(1)O6 octahedra, and edges with four equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles are 49°. In the second Ti site, Ti(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 TiO6 octahedra that share corners with two equivalent V(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one V(2)O6 octahedra, edges with two equivalent Ti(2)O6 octahedra, edges with two equivalent Sn(2)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 50-52°. There are two inequivalent V sites. In the first V site, V(1) is bonded to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms to form VO6 octahedra that share corners with two equivalent Sn(2)O6 octahedra, corners with four equivalent Ti(2)O6 octahedra, corners with three equivalent Li(4)O4 tetrahedra, corners with three equivalent Li(3)O4 trigonal pyramids,  an edgeedge with one Ti(1)O6 octahedra, and edges with two equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-58°. In the second V site, V(2) is bonded to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form VO6 octahedra that share corners with two equivalent Ti(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 Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-55°. 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 V(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 V(1)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, and edges with two equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-55°. 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 V(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one V(2)O6 octahedra, edges with four equivalent Ti(2)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 58°. 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(1), 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 V(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 Ti(1), and two equivalent Sn(1) atoms. In the fourth O site, O(4) is bonded to one Li(3), one Ti(1), and two equivalent Sn(1) atoms to form distorted OLiTiSn2 tetrahedra that share corners with four equivalent O(6)LiTiVSn tetrahedra and  a cornercorner with one O(8)LiTi2V trigonal pyramid. In the fifth O site, O(5) is bonded to one Li(2), two equivalent Ti(2), and one Sn(2) atom to form distorted OLiTi2Sn tetrahedra that share corners with two equivalent O(12)LiTi2V tetrahedra, corners with four equivalent O(9)LiTiVSn tetrahedra, and  an edgeedge with one O(8)LiTi2V trigonal pyramid. 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)LiTiSn2 tetrahedra,  a cornercorner with one O(8)LiTi2V 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 V(2), and two equivalent Sn(1) atoms. In the eighth O site, O(8) is bonded to one Li(3), two equivalent Ti(2), and one V(1) atom to form distorted OLiTi2V trigonal pyramids that share  a cornercorner with one O(4)LiTiSn2 tetrahedra, corners with two equivalent O(12)LiTi2V tetrahedra, corners with two equivalent O(6)LiTiVSn tetrahedra, corners with two equivalent O(9)LiTiVSn tetrahedra, and  an edgeedge with one O(5)LiTi2Sn tetrahedra. In the ninth O site, O(9) is bonded to one Li(1), one Ti(2), one V(2), and one Sn(2) atom to form distorted OLiTiVSn tetrahedra that share  a cornercorner with one O(12)LiTi2V tetrahedra,  a cornercorner with one O(9)LiTiVSn tetrahedra, corners with two equivalent O(5)LiTi2Sn tetrahedra,  a cornercorner with one O(8)LiTi2V trigonal pyramid,  an edgeedge with one O(12)LiTi2V tetrahedra, and  an edgeedge with one O(9)LiTiVSn tetrahedra. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to one Li(4), two equivalent Ti(2), and one Sn(2) atom. In the eleventh O site, O(11) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one Ti(1), one V(2), and one Sn(1) atom. In the twelfth O site, O(12) is bonded to one Li(1), two equivalent Ti(2), and one V(2) atom to form distorted OLiTi2V tetrahedra that share corners with two equivalent O(5)LiTi2Sn tetrahedra, corners with two equivalent O(9)LiTiVSn tetrahedra, corners with two equivalent O(8)LiTi2V trigonal pyramids, and edges with two equivalent O(9)LiTiVSn tetrahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li4Ti3V2Sn3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.164
_cell_length_b   6.164
_cell_length_c   9.914
_cell_angle_alpha   89.524
_cell_angle_beta   89.524
_cell_angle_gamma   59.734
_symmetry_Int_Tables_number   1
_cell_volume   325.294
_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  0.670  0.670  0.886  1.0
  Li  Li1  1  0.991  0.991  0.995  1.0
  Li  Li2  1  0.992  0.992  0.501  1.0
  Li  Li3  1  0.336  0.336  0.394  1.0
  Ti  Ti4  1  0.832  0.832  0.217  1.0
  Ti  Ti5  1  0.663  0.168  0.715  1.0
  Ti  Ti6  1  0.168  0.663  0.715  1.0
  V  V7  1  0.671  0.671  0.492  1.0
  V  V8  1  0.337  0.337  0.985  1.0
  Sn  Sn9  1  0.833  0.339  0.216  1.0
  Sn  Sn10  1  0.339  0.833  0.216  1.0
  Sn  Sn11  1  0.169  0.169  0.710  1.0
  O  O12  1  0.831  0.315  0.603  1.0
  O  O13  1  0.519  0.519  0.342  1.0
  O  O14  1  0.675  0.675  0.099  1.0
  O  O15  1  0.994  0.994  0.319  1.0
  O  O16  1  0.994  0.994  0.812  1.0
  O  O17  1  0.315  0.831  0.603  1.0
  O  O18  1  0.965  0.527  0.336  1.0
  O  O19  1  0.527  0.965  0.336  1.0
  O  O20  1  0.156  0.156  0.096  1.0
  O  O21  1  0.841  0.841  0.611  1.0
  O  O22  1  0.491  0.038  0.832  1.0
  O  O23  1  0.038  0.491  0.832  1.0
  O  O24  1  0.342  0.342  0.603  1.0
  O  O25  1  0.682  0.149  0.107  1.0
  O  O26  1  0.481  0.481  0.827  1.0
  O  O27  1  0.149  0.682  0.107  1.0
[/CIF]
.
The compound described by Li4Ti3V2Sn3O16 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 Ti(1)O6 octahedra, corners with two equivalent Sn(1)O6 octahedra, corners with two equivalent Sn(2)O6 octahedra, corners with three equivalent V(2)O6 octahedra, and corners with four equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-63°. 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 Ti(1)O6 octahedra, corners with two equivalent Sn(1)O6 octahedra, corners with three equivalent V(1)O6 octahedra,  an edgeedge with one Sn(2)O6 octahedra, and edges with two equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 60-67°. 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 Ti(1)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra, corners with three equivalent V(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(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form TiO6 octahedra that share corners with two equivalent V(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 V(1)O6 octahedra, and edges with four equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles are 49°. In the second Ti site, Ti(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 TiO6 octahedra that share corners with two equivalent V(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one V(2)O6 octahedra, edges with two equivalent Ti(2)O6 octahedra, edges with two equivalent Sn(2)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 50-52°. There are two inequivalent V sites. In the first V site, V(1) is bonded to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms to form VO6 octahedra that share corners with two equivalent Sn(2)O6 octahedra, corners with four equivalent Ti(2)O6 octahedra, corners with three equivalent Li(4)O4 tetrahedra, corners with three equivalent Li(3)O4 trigonal pyramids,  an edgeedge with one Ti(1)O6 octahedra, and edges with two equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-58°. In the second V site, V(2) is bonded to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form VO6 octahedra that share corners with two equivalent Ti(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 Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-55°. 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 V(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 V(1)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, and edges with two equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-55°. 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 V(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one V(2)O6 octahedra, edges with four equivalent Ti(2)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 58°. 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(1), 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 V(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 Ti(1), and two equivalent Sn(1) atoms. In the fourth O site, O(4) is bonded to one Li(3), one Ti(1), and two equivalent Sn(1) atoms to form distorted OLiTiSn2 tetrahedra that share corners with four equivalent O(6)LiTiVSn tetrahedra and  a cornercorner with one O(8)LiTi2V trigonal pyramid. In the fifth O site, O(5) is bonded to one Li(2), two equivalent Ti(2), and one Sn(2) atom to form distorted OLiTi2Sn tetrahedra that share corners with two equivalent O(12)LiTi2V tetrahedra, corners with four equivalent O(9)LiTiVSn tetrahedra, and  an edgeedge with one O(8)LiTi2V trigonal pyramid. 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)LiTiSn2 tetrahedra,  a cornercorner with one O(8)LiTi2V 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 V(2), and two equivalent Sn(1) atoms. In the eighth O site, O(8) is bonded to one Li(3), two equivalent Ti(2), and one V(1) atom to form distorted OLiTi2V trigonal pyramids that share  a cornercorner with one O(4)LiTiSn2 tetrahedra, corners with two equivalent O(12)LiTi2V tetrahedra, corners with two equivalent O(6)LiTiVSn tetrahedra, corners with two equivalent O(9)LiTiVSn tetrahedra, and  an edgeedge with one O(5)LiTi2Sn tetrahedra. In the ninth O site, O(9) is bonded to one Li(1), one Ti(2), one V(2), and one Sn(2) atom to form distorted OLiTiVSn tetrahedra that share  a cornercorner with one O(12)LiTi2V tetrahedra,  a cornercorner with one O(9)LiTiVSn tetrahedra, corners with two equivalent O(5)LiTi2Sn tetrahedra,  a cornercorner with one O(8)LiTi2V trigonal pyramid,  an edgeedge with one O(12)LiTi2V tetrahedra, and  an edgeedge with one O(9)LiTiVSn tetrahedra. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to one Li(4), two equivalent Ti(2), and one Sn(2) atom. In the eleventh O site, O(11) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one Ti(1), one V(2), and one Sn(1) atom. In the twelfth O site, O(12) is bonded to one Li(1), two equivalent Ti(2), and one V(2) atom to form distorted OLiTi2V tetrahedra that share corners with two equivalent O(5)LiTi2Sn tetrahedra, corners with two equivalent O(9)LiTiVSn tetrahedra, corners with two equivalent O(8)LiTi2V trigonal pyramids, and edges with two equivalent O(9)LiTiVSn tetrahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li4Ti3V2Sn3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.164
_cell_length_b   6.164
_cell_length_c   9.914
_cell_angle_alpha   89.524
_cell_angle_beta   89.524
_cell_angle_gamma   59.734
_symmetry_Int_Tables_number   1
_cell_volume   325.294
_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  0.670  0.670  0.886  1.0
  Li  Li1  1  0.991  0.991  0.995  1.0
  Li  Li2  1  0.992  0.992  0.501  1.0
  Li  Li3  1  0.336  0.336  0.394  1.0
  Ti  Ti4  1  0.832  0.832  0.217  1.0
  Ti  Ti5  1  0.663  0.168  0.715  1.0
  Ti  Ti6  1  0.168  0.663  0.715  1.0
  V  V7  1  0.671  0.671  0.492  1.0
  V  V8  1  0.337  0.337  0.985  1.0
  Sn  Sn9  1  0.833  0.339  0.216  1.0
  Sn  Sn10  1  0.339  0.833  0.216  1.0
  Sn  Sn11  1  0.169  0.169  0.710  1.0
  O  O12  1  0.831  0.315  0.603  1.0
  O  O13  1  0.519  0.519  0.342  1.0
  O  O14  1  0.675  0.675  0.099  1.0
  O  O15  1  0.994  0.994  0.319  1.0
  O  O16  1  0.994  0.994  0.812  1.0
  O  O17  1  0.315  0.831  0.603  1.0
  O  O18  1  0.965  0.527  0.336  1.0
  O  O19  1  0.527  0.965  0.336  1.0
  O  O20  1  0.156  0.156  0.096  1.0
  O  O21  1  0.841  0.841  0.611  1.0
  O  O22  1  0.491  0.038  0.832  1.0
  O  O23  1  0.038  0.491  0.832  1.0
  O  O24  1  0.342  0.342  0.603  1.0
  O  O25  1  0.682  0.149  0.107  1.0
  O  O26  1  0.481  0.481  0.827  1.0
  O  O27  1  0.149  0.682  0.107  1.0
[/CIF]
.