The material described by Li4Nb2V3Sn3O16 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 Nb(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 to one O(5), one O(7), and two equivalent O(11) atoms to form distorted LiO4 trigonal pyramids that share  a cornercorner with one Sn(2)O6 octahedra, corners with two equivalent V(2)O6 octahedra, corners with three equivalent Nb(2)O6 octahedra,  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 60-66°. 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 Nb(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 53-62°. 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 Nb(1)O6 octahedra, and corners with four equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-63°. There are two inequivalent Nb sites. In the first Nb site, Nb(1) is bonded to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms to form distorted NbO6 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 49-54°. In the second Nb site, Nb(2) is bonded to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form NbO6 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, corners with three equivalent Li(2)O4 trigonal pyramids,  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 47-52°. 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 Nb(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 Nb(1)O6 octahedra, edges with four equivalent Sn(1)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. 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 Nb(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 trigonal pyramid,  an edgeedge with one Nb(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 range from 49-51°. 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 Nb(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 Nb(1)O6 octahedra, edges with two equivalent V(1)O6 octahedra, edges with two equivalent Sn(1)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 52°. 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 Nb(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 trigonal pyramid,  an edgeedge with one Nb(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 rectangular see-saw-like geometry to one Li(3), one Nb(1), one V(2), and one Sn(2) atom. In the second O site, O(2) is bonded in a 4-coordinate geometry to one Li(4), one Nb(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 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 in a tetrahedral geometry to one Li(2), two equivalent V(2), and one Sn(2) atom. In the sixth O site, O(6) is bonded to one Li(4), one Nb(1), one V(1), and one Sn(1) atom to form distorted OLiNbVSn tetrahedra that share  a cornercorner with one O(6)LiNbVSn tetrahedra, corners with two equivalent O(4)LiVSn2 tetrahedra, and  an edgeedge with one O(6)LiNbVSn tetrahedra. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Li(2), one Nb(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 Nb(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 Nb(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), two equivalent V(2), and one Sn(2) atom. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one Nb(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 Nb(2), and two equivalent V(2) atoms. is represented by the CIF file [CIF]
data_Li4Nb2V3Sn3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.248
_cell_length_b   6.248
_cell_length_c   9.862
_cell_angle_alpha   89.342
_cell_angle_beta   89.342
_cell_angle_gamma   59.597
_symmetry_Int_Tables_number   1
_cell_volume   332.003
_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  0.672  0.672  0.899  1.0
  Li  Li1  1  0.990  0.990  0.987  1.0
  Li  Li2  1  0.999  0.999  0.498  1.0
  Li  Li3  1  0.330  0.330  0.404  1.0
  Nb  Nb4  1  0.677  0.677  0.499  1.0
  Nb  Nb5  1  0.349  0.349  0.979  1.0
  V  V6  1  0.830  0.830  0.213  1.0
  V  V7  1  0.660  0.171  0.711  1.0
  V  V8  1  0.171  0.660  0.711  1.0
  Sn  Sn9  1  0.831  0.338  0.214  1.0
  Sn  Sn10  1  0.338  0.831  0.214  1.0
  Sn  Sn11  1  0.171  0.171  0.717  1.0
  O  O12  1  0.829  0.345  0.590  1.0
  O  O13  1  0.514  0.514  0.342  1.0
  O  O14  1  0.663  0.663  0.101  1.0
  O  O15  1  1.000  1.000  0.313  1.0
  O  O16  1  0.004  0.004  0.805  1.0
  O  O17  1  0.345  0.829  0.590  1.0
  O  O18  1  0.954  0.513  0.347  1.0
  O  O19  1  0.513  0.954  0.347  1.0
  O  O20  1  0.162  0.162  0.096  1.0
  O  O21  1  0.830  0.830  0.589  1.0
  O  O22  1  0.477  0.042  0.852  1.0
  O  O23  1  0.042  0.477  0.852  1.0
  O  O24  1  0.326  0.326  0.603  1.0
  O  O25  1  0.663  0.173  0.093  1.0
  O  O26  1  0.483  0.483  0.851  1.0
  O  O27  1  0.173  0.663  0.093  1.0
[/CIF]
.
The material described by Li4Nb2V3Sn3O16 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 Nb(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 to one O(5), one O(7), and two equivalent O(11) atoms to form distorted LiO4 trigonal pyramids that share  a cornercorner with one Sn(2)O6 octahedra, corners with two equivalent V(2)O6 octahedra, corners with three equivalent Nb(2)O6 octahedra,  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 60-66°. 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 Nb(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 53-62°. 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 Nb(1)O6 octahedra, and corners with four equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-63°. There are two inequivalent Nb sites. In the first Nb site, Nb(1) is bonded to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms to form distorted NbO6 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 49-54°. In the second Nb site, Nb(2) is bonded to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form NbO6 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, corners with three equivalent Li(2)O4 trigonal pyramids,  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 47-52°. 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 Nb(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 Nb(1)O6 octahedra, edges with four equivalent Sn(1)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. 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 Nb(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 trigonal pyramid,  an edgeedge with one Nb(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 range from 49-51°. 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 Nb(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 Nb(1)O6 octahedra, edges with two equivalent V(1)O6 octahedra, edges with two equivalent Sn(1)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 52°. 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 Nb(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 trigonal pyramid,  an edgeedge with one Nb(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 rectangular see-saw-like geometry to one Li(3), one Nb(1), one V(2), and one Sn(2) atom. In the second O site, O(2) is bonded in a 4-coordinate geometry to one Li(4), one Nb(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 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 in a tetrahedral geometry to one Li(2), two equivalent V(2), and one Sn(2) atom. In the sixth O site, O(6) is bonded to one Li(4), one Nb(1), one V(1), and one Sn(1) atom to form distorted OLiNbVSn tetrahedra that share  a cornercorner with one O(6)LiNbVSn tetrahedra, corners with two equivalent O(4)LiVSn2 tetrahedra, and  an edgeedge with one O(6)LiNbVSn tetrahedra. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Li(2), one Nb(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 Nb(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 Nb(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), two equivalent V(2), and one Sn(2) atom. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one Nb(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 Nb(2), and two equivalent V(2) atoms. is represented by the CIF file [CIF]
data_Li4Nb2V3Sn3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.248
_cell_length_b   6.248
_cell_length_c   9.862
_cell_angle_alpha   89.342
_cell_angle_beta   89.342
_cell_angle_gamma   59.597
_symmetry_Int_Tables_number   1
_cell_volume   332.003
_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  0.672  0.672  0.899  1.0
  Li  Li1  1  0.990  0.990  0.987  1.0
  Li  Li2  1  0.999  0.999  0.498  1.0
  Li  Li3  1  0.330  0.330  0.404  1.0
  Nb  Nb4  1  0.677  0.677  0.499  1.0
  Nb  Nb5  1  0.349  0.349  0.979  1.0
  V  V6  1  0.830  0.830  0.213  1.0
  V  V7  1  0.660  0.171  0.711  1.0
  V  V8  1  0.171  0.660  0.711  1.0
  Sn  Sn9  1  0.831  0.338  0.214  1.0
  Sn  Sn10  1  0.338  0.831  0.214  1.0
  Sn  Sn11  1  0.171  0.171  0.717  1.0
  O  O12  1  0.829  0.345  0.590  1.0
  O  O13  1  0.514  0.514  0.342  1.0
  O  O14  1  0.663  0.663  0.101  1.0
  O  O15  1  1.000  1.000  0.313  1.0
  O  O16  1  0.004  0.004  0.805  1.0
  O  O17  1  0.345  0.829  0.590  1.0
  O  O18  1  0.954  0.513  0.347  1.0
  O  O19  1  0.513  0.954  0.347  1.0
  O  O20  1  0.162  0.162  0.096  1.0
  O  O21  1  0.830  0.830  0.589  1.0
  O  O22  1  0.477  0.042  0.852  1.0
  O  O23  1  0.042  0.477  0.852  1.0
  O  O24  1  0.326  0.326  0.603  1.0
  O  O25  1  0.663  0.173  0.093  1.0
  O  O26  1  0.483  0.483  0.851  1.0
  O  O27  1  0.173  0.663  0.093  1.0
[/CIF]
.