The compound described by Li4V5Sn3O16 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(2)O6 octahedra, corners with two equivalent Sn(1)O6 octahedra, corners with two equivalent Sn(2)O6 octahedra, corners with three equivalent V(3)O6 octahedra, and corners with four equivalent V(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-65°. In the second Li site, Li(2) is bonded in a distorted 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 tetrahedra that share  a cornercorner with one V(2)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 V(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-63°. 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(2)O6 octahedra, corners with two equivalent V(4)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 53-63°. There are four 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 V(4)O6 octahedra, corners with three equivalent Li(3)O4 tetrahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one V(2)O6 octahedra, and edges with two equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-56°. In the second V site, V(2) 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 V(3)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 V(1)O6 octahedra, and edges with four equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles are 46°. In the third V site, V(3) 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 V(2)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 V(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 46-55°. In the fourth V site, V(4) 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 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(3)O6 octahedra, edges with two equivalent V(4)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 48-51°. 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 V(3)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 V(1)O6 octahedra, edges with two equivalent V(2)O6 octahedra, and edges with two equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-55°. 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(3)O6 octahedra, edges with four equivalent V(4)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 56°. 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 V(1), one V(4), 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 distorted rectangular see-saw-like geometry to one Li(1), one V(2), and two equivalent Sn(1) atoms. In the fourth O site, O(4) is bonded to one Li(3), one V(2), and two equivalent Sn(1) atoms to form distorted OLiVSn2 tetrahedra that share corners with four equivalent O(6)LiV2Sn tetrahedra and  a cornercorner with one O(8)LiV3 trigonal pyramid. In the fifth O site, O(5) is bonded to one Li(2), two equivalent V(4), and one Sn(2) atom to form a mixture of distorted corner and edge-sharing OLiV2Sn tetrahedra. In the sixth O site, O(6) is bonded to one Li(4), one V(1), one V(2), and one Sn(1) atom to form distorted OLiV2Sn tetrahedra that share  a cornercorner with one O(6)LiV2Sn tetrahedra, corners with two equivalent O(4)LiVSn2 tetrahedra,  a cornercorner with one O(8)LiV3 trigonal pyramid, and  an edgeedge with one O(6)LiV2Sn tetrahedra. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Li(2), one V(3), and two equivalent Sn(1) atoms. In the eighth O site, O(8) is bonded to one Li(3), one V(1), and two equivalent V(4) atoms to form distorted OLiV3 trigonal pyramids that share  a cornercorner with one O(4)LiVSn2 tetrahedra, corners with two equivalent O(6)LiV2Sn tetrahedra, corners with two equivalent O(12)LiV3 tetrahedra, and  an edgeedge with one O(5)LiV2Sn tetrahedra. In the ninth O site, O(9) 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 tenth O site, O(10) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), two equivalent V(4), 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 V(2), one V(3), and one Sn(1) atom. In the twelfth O site, O(12) is bonded to one Li(1), one V(3), and two equivalent V(4) atoms to form distorted OLiV3 tetrahedra that share corners with two equivalent O(5)LiV2Sn tetrahedra and corners with two equivalent O(8)LiV3 trigonal pyramids. is represented by the CIF file [CIF]
data_Li4V5Sn3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.107
_cell_length_b   6.107
_cell_length_c   9.649
_cell_angle_alpha   89.399
_cell_angle_beta   89.399
_cell_angle_gamma   59.542
_symmetry_Int_Tables_number   1
_cell_volume   310.198
_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  0.674  0.674  0.889  1.0
  Li  Li1  1  0.988  0.988  0.991  1.0
  Li  Li2  1  0.992  0.992  0.502  1.0
  Li  Li3  1  0.334  0.334  0.395  1.0
  V  V4  1  0.675  0.675  0.495  1.0
  V  V5  1  0.832  0.832  0.214  1.0
  V  V6  1  0.342  0.342  0.983  1.0
  V  V7  1  0.654  0.181  0.712  1.0
  V  V8  1  0.181  0.654  0.712  1.0
  Sn  Sn9  1  0.339  0.832  0.214  1.0
  Sn  Sn10  1  0.832  0.339  0.214  1.0
  Sn  Sn11  1  0.170  0.170  0.714  1.0
  O  O12  1  0.337  0.822  0.599  1.0
  O  O13  1  0.519  0.519  0.348  1.0
  O  O14  1  0.671  0.671  0.096  1.0
  O  O15  1  0.996  0.996  0.317  1.0
  O  O16  1  0.993  0.993  0.805  1.0
  O  O17  1  0.822  0.337  0.599  1.0
  O  O18  1  0.527  0.960  0.343  1.0
  O  O19  1  0.960  0.527  0.343  1.0
  O  O20  1  0.161  0.161  0.089  1.0
  O  O21  1  0.832  0.832  0.606  1.0
  O  O22  1  0.046  0.488  0.843  1.0
  O  O23  1  0.488  0.046  0.843  1.0
  O  O24  1  0.337  0.337  0.598  1.0
  O  O25  1  0.157  0.666  0.101  1.0
  O  O26  1  0.478  0.478  0.841  1.0
  O  O27  1  0.666  0.157  0.101  1.0
[/CIF]
.
The compound described by Li4V5Sn3O16 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(2)O6 octahedra, corners with two equivalent Sn(1)O6 octahedra, corners with two equivalent Sn(2)O6 octahedra, corners with three equivalent V(3)O6 octahedra, and corners with four equivalent V(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-65°. In the second Li site, Li(2) is bonded in a distorted 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 tetrahedra that share  a cornercorner with one V(2)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 V(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-63°. 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(2)O6 octahedra, corners with two equivalent V(4)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 53-63°. There are four 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 V(4)O6 octahedra, corners with three equivalent Li(3)O4 tetrahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one V(2)O6 octahedra, and edges with two equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-56°. In the second V site, V(2) 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 V(3)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 V(1)O6 octahedra, and edges with four equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles are 46°. In the third V site, V(3) 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 V(2)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 V(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 46-55°. In the fourth V site, V(4) 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 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(3)O6 octahedra, edges with two equivalent V(4)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 48-51°. 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 V(3)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 V(1)O6 octahedra, edges with two equivalent V(2)O6 octahedra, and edges with two equivalent Sn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-55°. 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(3)O6 octahedra, edges with four equivalent V(4)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 56°. 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 V(1), one V(4), 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 distorted rectangular see-saw-like geometry to one Li(1), one V(2), and two equivalent Sn(1) atoms. In the fourth O site, O(4) is bonded to one Li(3), one V(2), and two equivalent Sn(1) atoms to form distorted OLiVSn2 tetrahedra that share corners with four equivalent O(6)LiV2Sn tetrahedra and  a cornercorner with one O(8)LiV3 trigonal pyramid. In the fifth O site, O(5) is bonded to one Li(2), two equivalent V(4), and one Sn(2) atom to form a mixture of distorted corner and edge-sharing OLiV2Sn tetrahedra. In the sixth O site, O(6) is bonded to one Li(4), one V(1), one V(2), and one Sn(1) atom to form distorted OLiV2Sn tetrahedra that share  a cornercorner with one O(6)LiV2Sn tetrahedra, corners with two equivalent O(4)LiVSn2 tetrahedra,  a cornercorner with one O(8)LiV3 trigonal pyramid, and  an edgeedge with one O(6)LiV2Sn tetrahedra. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Li(2), one V(3), and two equivalent Sn(1) atoms. In the eighth O site, O(8) is bonded to one Li(3), one V(1), and two equivalent V(4) atoms to form distorted OLiV3 trigonal pyramids that share  a cornercorner with one O(4)LiVSn2 tetrahedra, corners with two equivalent O(6)LiV2Sn tetrahedra, corners with two equivalent O(12)LiV3 tetrahedra, and  an edgeedge with one O(5)LiV2Sn tetrahedra. In the ninth O site, O(9) 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 tenth O site, O(10) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), two equivalent V(4), 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 V(2), one V(3), and one Sn(1) atom. In the twelfth O site, O(12) is bonded to one Li(1), one V(3), and two equivalent V(4) atoms to form distorted OLiV3 tetrahedra that share corners with two equivalent O(5)LiV2Sn tetrahedra and corners with two equivalent O(8)LiV3 trigonal pyramids. is represented by the CIF file [CIF]
data_Li4V5Sn3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.107
_cell_length_b   6.107
_cell_length_c   9.649
_cell_angle_alpha   89.399
_cell_angle_beta   89.399
_cell_angle_gamma   59.542
_symmetry_Int_Tables_number   1
_cell_volume   310.198
_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  0.674  0.674  0.889  1.0
  Li  Li1  1  0.988  0.988  0.991  1.0
  Li  Li2  1  0.992  0.992  0.502  1.0
  Li  Li3  1  0.334  0.334  0.395  1.0
  V  V4  1  0.675  0.675  0.495  1.0
  V  V5  1  0.832  0.832  0.214  1.0
  V  V6  1  0.342  0.342  0.983  1.0
  V  V7  1  0.654  0.181  0.712  1.0
  V  V8  1  0.181  0.654  0.712  1.0
  Sn  Sn9  1  0.339  0.832  0.214  1.0
  Sn  Sn10  1  0.832  0.339  0.214  1.0
  Sn  Sn11  1  0.170  0.170  0.714  1.0
  O  O12  1  0.337  0.822  0.599  1.0
  O  O13  1  0.519  0.519  0.348  1.0
  O  O14  1  0.671  0.671  0.096  1.0
  O  O15  1  0.996  0.996  0.317  1.0
  O  O16  1  0.993  0.993  0.805  1.0
  O  O17  1  0.822  0.337  0.599  1.0
  O  O18  1  0.527  0.960  0.343  1.0
  O  O19  1  0.960  0.527  0.343  1.0
  O  O20  1  0.161  0.161  0.089  1.0
  O  O21  1  0.832  0.832  0.606  1.0
  O  O22  1  0.046  0.488  0.843  1.0
  O  O23  1  0.488  0.046  0.843  1.0
  O  O24  1  0.337  0.337  0.598  1.0
  O  O25  1  0.157  0.666  0.101  1.0
  O  O26  1  0.478  0.478  0.841  1.0
  O  O27  1  0.666  0.157  0.101  1.0
[/CIF]
.