The material structure described by MgV3SnO8 crystallizes in the monoclinic Cm space group. Mg(1) is bonded to one O(1), one O(2), one O(3), and two equivalent O(6) atoms to form MgO5 trigonal bipyramids that share corners with two equivalent Mg(1)O5 trigonal bipyramids,  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. There are three inequivalent V sites. In the first V site, V(1) is bonded to one O(2), one O(3), one O(4), one O(5), and two equivalent O(8) atoms to form VO6 octahedra that share  a cornercorner with one Sn(1)O6 octahedra, corners with two equivalent V(1)O6 octahedra,  an edgeedge with one V(2)O6 octahedra, edges with two equivalent Sn(1)O6 octahedra, and  an edgeedge with one Mg(1)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 25-27°. In the second V site, V(2) is bonded to one O(4), one O(5), one O(6), one O(7), and two equivalent O(1) atoms to form VO6 octahedra that share  a cornercorner with one Sn(1)O6 octahedra, corners with two equivalent V(2)O6 octahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one Sn(1)O6 octahedra, and edges with two equivalent Mg(1)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles range from 8-33°. In the third V site, V(3) is bonded in a 5-coordinate geometry to one O(1), one O(3), one O(4), and two equivalent O(7) atoms. Sn(1) is bonded to one O(5), one O(6), one O(7), one O(8), and two equivalent O(2) atoms to form SnO6 octahedra that share  a cornercorner with one V(1)O6 octahedra,  a cornercorner with one V(2)O6 octahedra, corners with two equivalent Sn(1)O6 octahedra,  an edgeedge with one V(2)O6 octahedra, edges with two equivalent V(1)O6 octahedra, and edges with two equivalent Mg(1)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles range from 8-27°. There are eight inequivalent O sites. In the first O site, O(1) is bonded to one Mg(1), one V(3), and two equivalent V(2) atoms to form OMgV3 trigonal pyramids that share  a cornercorner with one O(2)MgVSn2 trigonal pyramid, corners with two equivalent O(1)MgV3 trigonal pyramids, and edges with two equivalent O(7)V3Sn trigonal pyramids. In the second O site, O(2) is bonded to one Mg(1), one V(1), and two equivalent Sn(1) atoms to form OMgVSn2 trigonal pyramids that share  a cornercorner with one O(1)MgV3 trigonal pyramid, corners with two equivalent O(2)MgVSn2 trigonal pyramids, and corners with two equivalent O(7)V3Sn trigonal pyramids. In the third O site, O(3) is bonded in a T-shaped geometry to one Mg(1), one V(1), and one V(3) atom. In the fourth O site, O(4) is bonded in a distorted trigonal planar geometry to one V(1), one V(2), and one V(3) atom. In the fifth O site, O(5) is bonded in a distorted T-shaped geometry to one V(1), one V(2), and one Sn(1) atom. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to two equivalent Mg(1), one V(2), and one Sn(1) atom. In the seventh O site, O(7) is bonded to one V(2), two equivalent V(3), and one Sn(1) atom to form OV3Sn trigonal pyramids that share corners with two equivalent O(2)MgVSn2 trigonal pyramids, corners with two equivalent O(7)V3Sn trigonal pyramids, and edges with two equivalent O(1)MgV3 trigonal pyramids. In the eighth O site, O(8) is bonded in a distorted T-shaped geometry to two equivalent V(1) and one Sn(1) atom. is represented by the CIF file [CIF]
data_MgV3SnO8
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.587
_cell_length_b   6.587
_cell_length_c   7.067
_cell_angle_alpha   74.634
_cell_angle_beta   105.366
_cell_angle_gamma   145.037
_symmetry_Int_Tables_number   1
_cell_volume   168.786
_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
  Mg  Mg0  1  0.175  0.825  1.000  1.0
  V  V1  1  0.402  0.598  0.316  1.0
  V  V2  1  0.598  0.402  0.681  1.0
  V  V3  1  0.312  0.688  0.736  1.0
  Sn  Sn4  1  0.706  0.294  0.324  1.0
  O  O5  1  0.146  0.854  0.711  1.0
  O  O6  1  0.230  0.770  0.299  1.0
  O  O7  1  0.349  0.651  0.988  1.0
  O  O8  1  0.434  0.566  0.622  1.0
  O  O9  1  0.562  0.438  0.388  1.0
  O  O10  1  0.640  0.360  0.009  1.0
  O  O11  1  0.768  0.232  0.649  1.0
  O  O12  1  0.867  0.133  0.297  1.0
[/CIF]
.
The material structure described by MgV3SnO8 crystallizes in the monoclinic Cm space group. Mg(1) is bonded to one O(1), one O(2), one O(3), and two equivalent O(6) atoms to form MgO5 trigonal bipyramids that share corners with two equivalent Mg(1)O5 trigonal bipyramids,  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. There are three inequivalent V sites. In the first V site, V(1) is bonded to one O(2), one O(3), one O(4), one O(5), and two equivalent O(8) atoms to form VO6 octahedra that share  a cornercorner with one Sn(1)O6 octahedra, corners with two equivalent V(1)O6 octahedra,  an edgeedge with one V(2)O6 octahedra, edges with two equivalent Sn(1)O6 octahedra, and  an edgeedge with one Mg(1)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 25-27°. In the second V site, V(2) is bonded to one O(4), one O(5), one O(6), one O(7), and two equivalent O(1) atoms to form VO6 octahedra that share  a cornercorner with one Sn(1)O6 octahedra, corners with two equivalent V(2)O6 octahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one Sn(1)O6 octahedra, and edges with two equivalent Mg(1)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles range from 8-33°. In the third V site, V(3) is bonded in a 5-coordinate geometry to one O(1), one O(3), one O(4), and two equivalent O(7) atoms. Sn(1) is bonded to one O(5), one O(6), one O(7), one O(8), and two equivalent O(2) atoms to form SnO6 octahedra that share  a cornercorner with one V(1)O6 octahedra,  a cornercorner with one V(2)O6 octahedra, corners with two equivalent Sn(1)O6 octahedra,  an edgeedge with one V(2)O6 octahedra, edges with two equivalent V(1)O6 octahedra, and edges with two equivalent Mg(1)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles range from 8-27°. There are eight inequivalent O sites. In the first O site, O(1) is bonded to one Mg(1), one V(3), and two equivalent V(2) atoms to form OMgV3 trigonal pyramids that share  a cornercorner with one O(2)MgVSn2 trigonal pyramid, corners with two equivalent O(1)MgV3 trigonal pyramids, and edges with two equivalent O(7)V3Sn trigonal pyramids. In the second O site, O(2) is bonded to one Mg(1), one V(1), and two equivalent Sn(1) atoms to form OMgVSn2 trigonal pyramids that share  a cornercorner with one O(1)MgV3 trigonal pyramid, corners with two equivalent O(2)MgVSn2 trigonal pyramids, and corners with two equivalent O(7)V3Sn trigonal pyramids. In the third O site, O(3) is bonded in a T-shaped geometry to one Mg(1), one V(1), and one V(3) atom. In the fourth O site, O(4) is bonded in a distorted trigonal planar geometry to one V(1), one V(2), and one V(3) atom. In the fifth O site, O(5) is bonded in a distorted T-shaped geometry to one V(1), one V(2), and one Sn(1) atom. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to two equivalent Mg(1), one V(2), and one Sn(1) atom. In the seventh O site, O(7) is bonded to one V(2), two equivalent V(3), and one Sn(1) atom to form OV3Sn trigonal pyramids that share corners with two equivalent O(2)MgVSn2 trigonal pyramids, corners with two equivalent O(7)V3Sn trigonal pyramids, and edges with two equivalent O(1)MgV3 trigonal pyramids. In the eighth O site, O(8) is bonded in a distorted T-shaped geometry to two equivalent V(1) and one Sn(1) atom. is represented by the CIF file [CIF]
data_MgV3SnO8
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.587
_cell_length_b   6.587
_cell_length_c   7.067
_cell_angle_alpha   74.634
_cell_angle_beta   105.366
_cell_angle_gamma   145.037
_symmetry_Int_Tables_number   1
_cell_volume   168.786
_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
  Mg  Mg0  1  0.175  0.825  1.000  1.0
  V  V1  1  0.402  0.598  0.316  1.0
  V  V2  1  0.598  0.402  0.681  1.0
  V  V3  1  0.312  0.688  0.736  1.0
  Sn  Sn4  1  0.706  0.294  0.324  1.0
  O  O5  1  0.146  0.854  0.711  1.0
  O  O6  1  0.230  0.770  0.299  1.0
  O  O7  1  0.349  0.651  0.988  1.0
  O  O8  1  0.434  0.566  0.622  1.0
  O  O9  1  0.562  0.438  0.388  1.0
  O  O10  1  0.640  0.360  0.009  1.0
  O  O11  1  0.768  0.232  0.649  1.0
  O  O12  1  0.867  0.133  0.297  1.0
[/CIF]
.