The crystal structure described by Li2V3SnO8 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(5), and one O(7) atom to form LiO4 tetrahedra that share  a cornercorner with one V(3)O6 octahedra,  a cornercorner with one V(4)O6 octahedra,  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 two equivalent Sn(1)O6 octahedra, and corners with three equivalent V(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-61°. In the second Li site, Li(2) is bonded to one O(2), one O(3), one O(6), and one O(8) atom to form LiO4 tetrahedra that share  a cornercorner with one V(1)O6 octahedra,  a cornercorner with one V(2)O6 octahedra,  a cornercorner with one Sn(1)O6 octahedra, corners with two equivalent V(3)O6 octahedra, corners with two equivalent V(4)O6 octahedra, corners with two equivalent Sn(2)O6 octahedra, and corners with three equivalent V(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-61°. There are five inequivalent V sites. In the first V site, V(1) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(5) atoms to form VO6 octahedra that share corners with two equivalent Li(2)O4 tetrahedra, corners with four equivalent Li(1)O4 tetrahedra, edges with two equivalent V(2)O6 octahedra, edges with two equivalent V(5)O6 octahedra, and edges with two equivalent Sn(1)O6 octahedra. In the second V site, V(2) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(7) atoms to form VO6 octahedra that share corners with two equivalent Li(2)O4 tetrahedra, corners with four equivalent Li(1)O4 tetrahedra, edges with two equivalent V(1)O6 octahedra, edges with two equivalent V(5)O6 octahedra, and edges with two equivalent Sn(1)O6 octahedra. In the third V site, V(3) is bonded to two equivalent O(2), two equivalent O(4), and two equivalent O(8) atoms to form VO6 octahedra that share corners with two equivalent Li(1)O4 tetrahedra, corners with four equivalent Li(2)O4 tetrahedra, edges with two equivalent V(4)O6 octahedra, edges with two equivalent V(5)O6 octahedra, and edges with two equivalent Sn(2)O6 octahedra. In the fourth V site, V(4) is bonded to two equivalent O(2), two equivalent O(4), and two equivalent O(6) atoms to form VO6 octahedra that share corners with two equivalent Li(1)O4 tetrahedra, corners with four equivalent Li(2)O4 tetrahedra, edges with two equivalent V(3)O6 octahedra, edges with two equivalent V(5)O6 octahedra, and edges with two equivalent Sn(2)O6 octahedra. In the fifth V site, V(5) is bonded to one O(1), one O(2), one O(5), one O(6), one O(7), and one O(8) atom to form VO6 octahedra that share corners with three equivalent Li(1)O4 tetrahedra, corners with three equivalent Li(2)O4 tetrahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one V(2)O6 octahedra,  an edgeedge with one V(3)O6 octahedra,  an edgeedge with one V(4)O6 octahedra,  an edgeedge with one Sn(1)O6 octahedra, and  an edgeedge with one Sn(2)O6 octahedra. There are two inequivalent Sn sites. In the first Sn site, Sn(1) is bonded to two equivalent O(3), two equivalent O(5), and two equivalent O(7) atoms to form SnO6 octahedra that share corners with two equivalent Li(2)O4 tetrahedra, corners with four equivalent Li(1)O4 tetrahedra, edges with two equivalent V(1)O6 octahedra, edges with two equivalent V(2)O6 octahedra, and edges with two equivalent V(5)O6 octahedra. In the second Sn site, Sn(2) is bonded to two equivalent O(4), two equivalent O(6), and two equivalent O(8) atoms to form SnO6 octahedra that share corners with two equivalent Li(1)O4 tetrahedra, corners with four equivalent Li(2)O4 tetrahedra, edges with two equivalent V(3)O6 octahedra, edges with two equivalent V(4)O6 octahedra, and edges with two equivalent V(5)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 V(1), one V(2), and one V(5) atom. In the second O site, O(2) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one V(3), one V(4), and one V(5) atom. In the third O site, O(3) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one V(1), one V(2), and one Sn(1) atom. In the fourth O site, O(4) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one V(3), one V(4), and one Sn(2) atom. In the fifth O site, O(5) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one V(1), one V(5), and one Sn(1) atom. In the sixth O site, O(6) is bonded to one Li(2), one V(4), one V(5), and one Sn(2) atom to form distorted corner-sharing OLiV2Sn trigonal pyramids. In the seventh O site, O(7) is bonded to one Li(1), one V(2), one V(5), and one Sn(1) atom to form distorted corner-sharing OLiV2Sn trigonal pyramids. In the eighth O site, O(8) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one V(3), one V(5), and one Sn(2) atom. is represented by the CIF card [CIF]
data_Li2V3SnO8
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.009
_cell_length_b   6.169
_cell_length_c   10.456
_cell_angle_alpha   106.229
_cell_angle_beta   89.987
_cell_angle_gamma   60.908
_symmetry_Int_Tables_number   1
_cell_volume   320.917
_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  0.314  0.366  0.562  1.0
  Li  Li1  1  0.820  0.366  0.062  1.0
  Li  Li2  1  0.186  0.634  0.938  1.0
  Li  Li3  1  0.679  0.634  0.438  1.0
  V  V4  1  0.750  0.000  0.750  1.0
  V  V5  1  0.250  1.000  0.750  1.0
  V  V6  1  0.750  0.000  0.250  1.0
  V  V7  1  0.250  1.000  0.250  1.0
  V  V8  1  0.995  1.000  0.500  1.0
  V  V9  1  0.505  0.000  0.000  1.0
  Sn  Sn10  1  0.750  0.500  0.750  1.0
  Sn  Sn11  1  0.250  0.500  0.250  1.0
  O  O12  1  0.086  0.800  0.638  1.0
  O  O13  1  0.614  0.800  0.138  1.0
  O  O14  1  0.414  0.200  0.862  1.0
  O  O15  1  0.886  0.200  0.362  1.0
  O  O16  1  0.873  0.234  0.859  1.0
  O  O17  1  0.392  0.231  0.359  1.0
  O  O18  1  0.650  0.231  0.633  1.0
  O  O19  1  0.158  0.232  0.129  1.0
  O  O20  1  0.112  0.231  0.630  1.0
  O  O21  1  0.619  0.232  0.133  1.0
  O  O22  1  0.388  0.769  0.870  1.0
  O  O23  1  0.881  0.768  0.367  1.0
  O  O24  1  0.850  0.769  0.867  1.0
  O  O25  1  0.342  0.768  0.371  1.0
  O  O26  1  0.627  0.766  0.641  1.0
  O  O27  1  0.108  0.769  0.141  1.0
[/CIF]
.
The crystal structure described by Li2V3SnO8 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(5), and one O(7) atom to form LiO4 tetrahedra that share  a cornercorner with one V(3)O6 octahedra,  a cornercorner with one V(4)O6 octahedra,  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 two equivalent Sn(1)O6 octahedra, and corners with three equivalent V(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-61°. In the second Li site, Li(2) is bonded to one O(2), one O(3), one O(6), and one O(8) atom to form LiO4 tetrahedra that share  a cornercorner with one V(1)O6 octahedra,  a cornercorner with one V(2)O6 octahedra,  a cornercorner with one Sn(1)O6 octahedra, corners with two equivalent V(3)O6 octahedra, corners with two equivalent V(4)O6 octahedra, corners with two equivalent Sn(2)O6 octahedra, and corners with three equivalent V(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-61°. There are five inequivalent V sites. In the first V site, V(1) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(5) atoms to form VO6 octahedra that share corners with two equivalent Li(2)O4 tetrahedra, corners with four equivalent Li(1)O4 tetrahedra, edges with two equivalent V(2)O6 octahedra, edges with two equivalent V(5)O6 octahedra, and edges with two equivalent Sn(1)O6 octahedra. In the second V site, V(2) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(7) atoms to form VO6 octahedra that share corners with two equivalent Li(2)O4 tetrahedra, corners with four equivalent Li(1)O4 tetrahedra, edges with two equivalent V(1)O6 octahedra, edges with two equivalent V(5)O6 octahedra, and edges with two equivalent Sn(1)O6 octahedra. In the third V site, V(3) is bonded to two equivalent O(2), two equivalent O(4), and two equivalent O(8) atoms to form VO6 octahedra that share corners with two equivalent Li(1)O4 tetrahedra, corners with four equivalent Li(2)O4 tetrahedra, edges with two equivalent V(4)O6 octahedra, edges with two equivalent V(5)O6 octahedra, and edges with two equivalent Sn(2)O6 octahedra. In the fourth V site, V(4) is bonded to two equivalent O(2), two equivalent O(4), and two equivalent O(6) atoms to form VO6 octahedra that share corners with two equivalent Li(1)O4 tetrahedra, corners with four equivalent Li(2)O4 tetrahedra, edges with two equivalent V(3)O6 octahedra, edges with two equivalent V(5)O6 octahedra, and edges with two equivalent Sn(2)O6 octahedra. In the fifth V site, V(5) is bonded to one O(1), one O(2), one O(5), one O(6), one O(7), and one O(8) atom to form VO6 octahedra that share corners with three equivalent Li(1)O4 tetrahedra, corners with three equivalent Li(2)O4 tetrahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one V(2)O6 octahedra,  an edgeedge with one V(3)O6 octahedra,  an edgeedge with one V(4)O6 octahedra,  an edgeedge with one Sn(1)O6 octahedra, and  an edgeedge with one Sn(2)O6 octahedra. There are two inequivalent Sn sites. In the first Sn site, Sn(1) is bonded to two equivalent O(3), two equivalent O(5), and two equivalent O(7) atoms to form SnO6 octahedra that share corners with two equivalent Li(2)O4 tetrahedra, corners with four equivalent Li(1)O4 tetrahedra, edges with two equivalent V(1)O6 octahedra, edges with two equivalent V(2)O6 octahedra, and edges with two equivalent V(5)O6 octahedra. In the second Sn site, Sn(2) is bonded to two equivalent O(4), two equivalent O(6), and two equivalent O(8) atoms to form SnO6 octahedra that share corners with two equivalent Li(1)O4 tetrahedra, corners with four equivalent Li(2)O4 tetrahedra, edges with two equivalent V(3)O6 octahedra, edges with two equivalent V(4)O6 octahedra, and edges with two equivalent V(5)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 V(1), one V(2), and one V(5) atom. In the second O site, O(2) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one V(3), one V(4), and one V(5) atom. In the third O site, O(3) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one V(1), one V(2), and one Sn(1) atom. In the fourth O site, O(4) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one V(3), one V(4), and one Sn(2) atom. In the fifth O site, O(5) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one V(1), one V(5), and one Sn(1) atom. In the sixth O site, O(6) is bonded to one Li(2), one V(4), one V(5), and one Sn(2) atom to form distorted corner-sharing OLiV2Sn trigonal pyramids. In the seventh O site, O(7) is bonded to one Li(1), one V(2), one V(5), and one Sn(1) atom to form distorted corner-sharing OLiV2Sn trigonal pyramids. In the eighth O site, O(8) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one V(3), one V(5), and one Sn(2) atom. is represented by the CIF card [CIF]
data_Li2V3SnO8
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.009
_cell_length_b   6.169
_cell_length_c   10.456
_cell_angle_alpha   106.229
_cell_angle_beta   89.987
_cell_angle_gamma   60.908
_symmetry_Int_Tables_number   1
_cell_volume   320.917
_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  0.314  0.366  0.562  1.0
  Li  Li1  1  0.820  0.366  0.062  1.0
  Li  Li2  1  0.186  0.634  0.938  1.0
  Li  Li3  1  0.679  0.634  0.438  1.0
  V  V4  1  0.750  0.000  0.750  1.0
  V  V5  1  0.250  1.000  0.750  1.0
  V  V6  1  0.750  0.000  0.250  1.0
  V  V7  1  0.250  1.000  0.250  1.0
  V  V8  1  0.995  1.000  0.500  1.0
  V  V9  1  0.505  0.000  0.000  1.0
  Sn  Sn10  1  0.750  0.500  0.750  1.0
  Sn  Sn11  1  0.250  0.500  0.250  1.0
  O  O12  1  0.086  0.800  0.638  1.0
  O  O13  1  0.614  0.800  0.138  1.0
  O  O14  1  0.414  0.200  0.862  1.0
  O  O15  1  0.886  0.200  0.362  1.0
  O  O16  1  0.873  0.234  0.859  1.0
  O  O17  1  0.392  0.231  0.359  1.0
  O  O18  1  0.650  0.231  0.633  1.0
  O  O19  1  0.158  0.232  0.129  1.0
  O  O20  1  0.112  0.231  0.630  1.0
  O  O21  1  0.619  0.232  0.133  1.0
  O  O22  1  0.388  0.769  0.870  1.0
  O  O23  1  0.881  0.768  0.367  1.0
  O  O24  1  0.850  0.769  0.867  1.0
  O  O25  1  0.342  0.768  0.371  1.0
  O  O26  1  0.627  0.766  0.641  1.0
  O  O27  1  0.108  0.769  0.141  1.0
[/CIF]
.