The material structure described by Li4Nb3V3(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 Nb(1)O6 octahedra, corners with two equivalent V(1)O6 octahedra, corners with two equivalent V(2)O6 octahedra, corners with three equivalent Sn(2)O6 octahedra, and corners with four equivalent Nb(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-63°. 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 in a rectangular see-saw-like geometry to one O(4), one O(8), and two equivalent O(1) atoms. 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 V(2)O6 octahedra, corners with two equivalent Nb(1)O6 octahedra, corners with two equivalent Nb(2)O6 octahedra, corners with three equivalent Sn(1)O6 octahedra, and corners with four equivalent V(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-62°. There are two inequivalent Nb sites. In the first Nb site, Nb(1) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form NbO6 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,  an edgeedge with one Sn(1)O6 octahedra, and edges with four equivalent V(1)O6 octahedra. The corner-sharing octahedral tilt angles are 51°. In the second Nb site, Nb(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 NbO6 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 Nb(2)O6 octahedra, and edges with two equivalent V(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-54°. There are two inequivalent V sites. In the first V site, V(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 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,  an edgeedge with one Sn(1)O6 octahedra, edges with two equivalent Nb(1)O6 octahedra, and edges with two equivalent V(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-55°. In the second V site, V(2) is bonded to one O(10), one O(5), two equivalent O(1), and two equivalent O(9) atoms 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, and edges with four equivalent Nb(2)O6 octahedra. The corner-sharing octahedral tilt angles are 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 V(2)O6 octahedra, corners with four equivalent Nb(2)O6 octahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Nb(1)O6 octahedra, and edges with two equivalent V(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-54°. 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 Nb(1)O6 octahedra, corners with four equivalent V(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one V(2)O6 octahedra, and edges with two equivalent Nb(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 distorted rectangular see-saw-like geometry to one Li(3), one Nb(2), one V(2), and one Sn(1) atom. In the second O site, O(2) is bonded to one Li(4), two equivalent V(1), and one Sn(1) atom to form distorted OLiV2Sn tetrahedra that share corners with two equivalent O(4)LiNbV2 tetrahedra, corners with two equivalent O(6)LiNbVSn trigonal pyramids, and edges with two equivalent O(6)LiNbVSn trigonal pyramids. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(1), one Nb(1), and two equivalent V(1) atoms. In the fourth O site, O(4) is bonded to one Li(3), one Nb(1), and two equivalent V(1) atoms to form distorted OLiNbV2 tetrahedra that share corners with two equivalent O(2)LiV2Sn tetrahedra and corners with four equivalent O(6)LiNbVSn trigonal pyramids. In the fifth O site, O(5) is bonded to one Li(2), two equivalent Nb(2), and one V(2) atom to form corner-sharing OLiNb2V tetrahedra. 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 trigonal pyramids that share  a cornercorner with one O(2)LiV2Sn tetrahedra, corners with two equivalent O(4)LiNbV2 tetrahedra,  a cornercorner with one O(6)LiNbVSn trigonal pyramid,  an edgeedge with one O(2)LiV2Sn tetrahedra, and  an edgeedge with one O(6)LiNbVSn trigonal pyramid. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Li(2), two equivalent V(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 Nb(2), and one Sn(1) atom. In the ninth O site, O(9) is bonded to one Li(1), one Nb(2), one V(2), and one Sn(2) atom to form distorted OLiNbVSn tetrahedra that share  a cornercorner with one O(9)LiNbVSn tetrahedra, corners with two equivalent O(5)LiNb2V tetrahedra, and  an edgeedge with one O(9)LiNbVSn tetrahedra. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to one Li(4), two equivalent Nb(2), and one V(2) atom. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one Nb(1), one V(1), and one Sn(2) atom. In the twelfth O site, O(12) is bonded in a 4-coordinate geometry to one Li(1), two equivalent Nb(2), and one Sn(2) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li4Nb3V3(SnO8)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.095
_cell_length_b   6.053
_cell_length_c   10.146
_cell_angle_alpha   90.000
_cell_angle_beta   89.741
_cell_angle_gamma   119.770
_symmetry_Int_Tables_number   1
_cell_volume   324.901
_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  0.335  0.667  0.903  1.0
  Li  Li1  1  0.008  0.004  0.991  1.0
  Li  Li2  1  0.011  0.005  0.491  1.0
  Li  Li3  1  0.672  0.336  0.391  1.0
  Nb  Nb4  1  0.663  0.831  0.217  1.0
  Nb  Nb5  1  0.821  0.640  0.713  1.0
  Nb  Nb6  1  0.821  0.181  0.713  1.0
  V  V7  1  0.172  0.820  0.213  1.0
  V  V8  1  0.172  0.351  0.213  1.0
  V  V9  1  0.349  0.174  0.713  1.0
  Sn  Sn10  1  0.324  0.662  0.490  1.0
  Sn  Sn11  1  0.649  0.325  0.996  1.0
  O  O12  1  0.154  0.832  0.599  1.0
  O  O13  1  0.040  0.520  0.344  1.0
  O  O14  1  0.355  0.677  0.100  1.0
  O  O15  1  0.998  0.999  0.307  1.0
  O  O16  1  0.996  0.998  0.807  1.0
  O  O17  1  0.154  0.323  0.599  1.0
  O  O18  1  0.493  0.966  0.341  1.0
  O  O19  1  0.493  0.527  0.341  1.0
  O  O20  1  0.313  0.156  0.098  1.0
  O  O21  1  0.669  0.835  0.597  1.0
  O  O22  1  0.526  0.496  0.844  1.0
  O  O23  1  0.526  0.030  0.844  1.0
  O  O24  1  0.665  0.332  0.585  1.0
  O  O25  1  0.827  0.671  0.102  1.0
  O  O26  1  0.968  0.484  0.851  1.0
  O  O27  1  0.827  0.157  0.102  1.0
[/CIF]
.
The material structure described by Li4Nb3V3(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 Nb(1)O6 octahedra, corners with two equivalent V(1)O6 octahedra, corners with two equivalent V(2)O6 octahedra, corners with three equivalent Sn(2)O6 octahedra, and corners with four equivalent Nb(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-63°. 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 in a rectangular see-saw-like geometry to one O(4), one O(8), and two equivalent O(1) atoms. 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 V(2)O6 octahedra, corners with two equivalent Nb(1)O6 octahedra, corners with two equivalent Nb(2)O6 octahedra, corners with three equivalent Sn(1)O6 octahedra, and corners with four equivalent V(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-62°. There are two inequivalent Nb sites. In the first Nb site, Nb(1) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form NbO6 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,  an edgeedge with one Sn(1)O6 octahedra, and edges with four equivalent V(1)O6 octahedra. The corner-sharing octahedral tilt angles are 51°. In the second Nb site, Nb(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 NbO6 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 Nb(2)O6 octahedra, and edges with two equivalent V(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-54°. There are two inequivalent V sites. In the first V site, V(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 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,  an edgeedge with one Sn(1)O6 octahedra, edges with two equivalent Nb(1)O6 octahedra, and edges with two equivalent V(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-55°. In the second V site, V(2) is bonded to one O(10), one O(5), two equivalent O(1), and two equivalent O(9) atoms 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, and edges with four equivalent Nb(2)O6 octahedra. The corner-sharing octahedral tilt angles are 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 V(2)O6 octahedra, corners with four equivalent Nb(2)O6 octahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Nb(1)O6 octahedra, and edges with two equivalent V(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-54°. 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 Nb(1)O6 octahedra, corners with four equivalent V(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one V(2)O6 octahedra, and edges with two equivalent Nb(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 distorted rectangular see-saw-like geometry to one Li(3), one Nb(2), one V(2), and one Sn(1) atom. In the second O site, O(2) is bonded to one Li(4), two equivalent V(1), and one Sn(1) atom to form distorted OLiV2Sn tetrahedra that share corners with two equivalent O(4)LiNbV2 tetrahedra, corners with two equivalent O(6)LiNbVSn trigonal pyramids, and edges with two equivalent O(6)LiNbVSn trigonal pyramids. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(1), one Nb(1), and two equivalent V(1) atoms. In the fourth O site, O(4) is bonded to one Li(3), one Nb(1), and two equivalent V(1) atoms to form distorted OLiNbV2 tetrahedra that share corners with two equivalent O(2)LiV2Sn tetrahedra and corners with four equivalent O(6)LiNbVSn trigonal pyramids. In the fifth O site, O(5) is bonded to one Li(2), two equivalent Nb(2), and one V(2) atom to form corner-sharing OLiNb2V tetrahedra. 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 trigonal pyramids that share  a cornercorner with one O(2)LiV2Sn tetrahedra, corners with two equivalent O(4)LiNbV2 tetrahedra,  a cornercorner with one O(6)LiNbVSn trigonal pyramid,  an edgeedge with one O(2)LiV2Sn tetrahedra, and  an edgeedge with one O(6)LiNbVSn trigonal pyramid. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Li(2), two equivalent V(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 Nb(2), and one Sn(1) atom. In the ninth O site, O(9) is bonded to one Li(1), one Nb(2), one V(2), and one Sn(2) atom to form distorted OLiNbVSn tetrahedra that share  a cornercorner with one O(9)LiNbVSn tetrahedra, corners with two equivalent O(5)LiNb2V tetrahedra, and  an edgeedge with one O(9)LiNbVSn tetrahedra. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to one Li(4), two equivalent Nb(2), and one V(2) atom. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one Nb(1), one V(1), and one Sn(2) atom. In the twelfth O site, O(12) is bonded in a 4-coordinate geometry to one Li(1), two equivalent Nb(2), and one Sn(2) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li4Nb3V3(SnO8)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.095
_cell_length_b   6.053
_cell_length_c   10.146
_cell_angle_alpha   90.000
_cell_angle_beta   89.741
_cell_angle_gamma   119.770
_symmetry_Int_Tables_number   1
_cell_volume   324.901
_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  0.335  0.667  0.903  1.0
  Li  Li1  1  0.008  0.004  0.991  1.0
  Li  Li2  1  0.011  0.005  0.491  1.0
  Li  Li3  1  0.672  0.336  0.391  1.0
  Nb  Nb4  1  0.663  0.831  0.217  1.0
  Nb  Nb5  1  0.821  0.640  0.713  1.0
  Nb  Nb6  1  0.821  0.181  0.713  1.0
  V  V7  1  0.172  0.820  0.213  1.0
  V  V8  1  0.172  0.351  0.213  1.0
  V  V9  1  0.349  0.174  0.713  1.0
  Sn  Sn10  1  0.324  0.662  0.490  1.0
  Sn  Sn11  1  0.649  0.325  0.996  1.0
  O  O12  1  0.154  0.832  0.599  1.0
  O  O13  1  0.040  0.520  0.344  1.0
  O  O14  1  0.355  0.677  0.100  1.0
  O  O15  1  0.998  0.999  0.307  1.0
  O  O16  1  0.996  0.998  0.807  1.0
  O  O17  1  0.154  0.323  0.599  1.0
  O  O18  1  0.493  0.966  0.341  1.0
  O  O19  1  0.493  0.527  0.341  1.0
  O  O20  1  0.313  0.156  0.098  1.0
  O  O21  1  0.669  0.835  0.597  1.0
  O  O22  1  0.526  0.496  0.844  1.0
  O  O23  1  0.526  0.030  0.844  1.0
  O  O24  1  0.665  0.332  0.585  1.0
  O  O25  1  0.827  0.671  0.102  1.0
  O  O26  1  0.968  0.484  0.851  1.0
  O  O27  1  0.827  0.157  0.102  1.0
[/CIF]
.