The crystal structure described by MgV4SnO12 crystallizes in the monoclinic C2 space group. Mg(1) is bonded to two equivalent O(2), two equivalent O(3), and two equivalent O(5) atoms to form distorted MgO6 octahedra that share corners with four equivalent V(2)O4 tetrahedra,  an edgeedge with one Sn(1)O6 octahedra, and edges with two equivalent V(1)O4 tetrahedra. There are two inequivalent V sites. In the first V site, V(1) is bonded to one O(1), one O(2), one O(4), and one O(5) atom to form VO4 tetrahedra that share  a cornercorner with one Sn(1)O6 octahedra, corners with two equivalent V(2)O4 tetrahedra, and  an edgeedge with one Mg(1)O6 octahedra. The corner-sharing octahedral tilt angles are 48°. In the second V site, V(2) is bonded to one O(3), one O(4), one O(5), and one O(6) atom to form VO4 tetrahedra that share corners with two equivalent Mg(1)O6 octahedra, corners with two equivalent Sn(1)O6 octahedra, and corners with two equivalent V(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 20-57°. Sn(1) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(6) atoms to form SnO6 octahedra that share corners with two equivalent V(1)O4 tetrahedra, corners with four equivalent V(2)O4 tetrahedra, and  an edgeedge with one Mg(1)O6 octahedra. There are six inequivalent O sites. In the first O site, O(1) is bonded in a distorted bent 120 degrees geometry to one V(1) and one Sn(1) atom. In the second O site, O(2) is bonded in a water-like geometry to one Mg(1) and one V(1) atom. In the third O site, O(3) is bonded in a distorted trigonal planar geometry to one Mg(1), one V(2), and one Sn(1) atom. In the fourth O site, O(4) is bonded in a bent 150 degrees geometry to one V(1) and one V(2) atom. In the fifth O site, O(5) is bonded in a 3-coordinate geometry to one Mg(1), one V(1), and one V(2) atom. In the sixth O site, O(6) is bonded in a bent 150 degrees geometry to one V(2) and one Sn(1) atom. is represented by the CIF file [CIF]
data_MgV4SnO12
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.152
_cell_length_b   7.152
_cell_length_c   5.872
_cell_angle_alpha   70.355
_cell_angle_beta   109.645
_cell_angle_gamma   99.948
_symmetry_Int_Tables_number   1
_cell_volume   265.797
_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  0.258  0.258  0.250  1.0
  V  V1  1  0.214  0.620  0.815  1.0
  V  V2  1  0.393  0.802  0.318  1.0
  V  V3  1  0.620  0.214  0.685  1.0
  V  V4  1  0.802  0.393  0.182  1.0
  Sn  Sn5  1  0.908  0.908  0.250  1.0
  O  O6  1  0.021  0.776  0.637  1.0
  O  O7  1  0.140  0.379  0.855  1.0
  O  O8  1  0.200  0.972  0.214  1.0
  O  O9  1  0.393  0.684  0.651  1.0
  O  O10  1  0.379  0.140  0.645  1.0
  O  O11  1  0.308  0.603  0.151  1.0
  O  O12  1  0.684  0.393  0.849  1.0
  O  O13  1  0.625  0.898  0.276  1.0
  O  O14  1  0.603  0.308  0.349  1.0
  O  O15  1  0.776  0.021  0.863  1.0
  O  O16  1  0.898  0.625  0.224  1.0
  O  O17  1  0.972  0.200  0.286  1.0
[/CIF]
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The crystal structure described by MgV4SnO12 crystallizes in the monoclinic C2 space group. Mg(1) is bonded to two equivalent O(2), two equivalent O(3), and two equivalent O(5) atoms to form distorted MgO6 octahedra that share corners with four equivalent V(2)O4 tetrahedra,  an edgeedge with one Sn(1)O6 octahedra, and edges with two equivalent V(1)O4 tetrahedra. There are two inequivalent V sites. In the first V site, V(1) is bonded to one O(1), one O(2), one O(4), and one O(5) atom to form VO4 tetrahedra that share  a cornercorner with one Sn(1)O6 octahedra, corners with two equivalent V(2)O4 tetrahedra, and  an edgeedge with one Mg(1)O6 octahedra. The corner-sharing octahedral tilt angles are 48°. In the second V site, V(2) is bonded to one O(3), one O(4), one O(5), and one O(6) atom to form VO4 tetrahedra that share corners with two equivalent Mg(1)O6 octahedra, corners with two equivalent Sn(1)O6 octahedra, and corners with two equivalent V(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 20-57°. Sn(1) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(6) atoms to form SnO6 octahedra that share corners with two equivalent V(1)O4 tetrahedra, corners with four equivalent V(2)O4 tetrahedra, and  an edgeedge with one Mg(1)O6 octahedra. There are six inequivalent O sites. In the first O site, O(1) is bonded in a distorted bent 120 degrees geometry to one V(1) and one Sn(1) atom. In the second O site, O(2) is bonded in a water-like geometry to one Mg(1) and one V(1) atom. In the third O site, O(3) is bonded in a distorted trigonal planar geometry to one Mg(1), one V(2), and one Sn(1) atom. In the fourth O site, O(4) is bonded in a bent 150 degrees geometry to one V(1) and one V(2) atom. In the fifth O site, O(5) is bonded in a 3-coordinate geometry to one Mg(1), one V(1), and one V(2) atom. In the sixth O site, O(6) is bonded in a bent 150 degrees geometry to one V(2) and one Sn(1) atom. is represented by the CIF file [CIF]
data_MgV4SnO12
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.152
_cell_length_b   7.152
_cell_length_c   5.872
_cell_angle_alpha   70.355
_cell_angle_beta   109.645
_cell_angle_gamma   99.948
_symmetry_Int_Tables_number   1
_cell_volume   265.797
_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  0.258  0.258  0.250  1.0
  V  V1  1  0.214  0.620  0.815  1.0
  V  V2  1  0.393  0.802  0.318  1.0
  V  V3  1  0.620  0.214  0.685  1.0
  V  V4  1  0.802  0.393  0.182  1.0
  Sn  Sn5  1  0.908  0.908  0.250  1.0
  O  O6  1  0.021  0.776  0.637  1.0
  O  O7  1  0.140  0.379  0.855  1.0
  O  O8  1  0.200  0.972  0.214  1.0
  O  O9  1  0.393  0.684  0.651  1.0
  O  O10  1  0.379  0.140  0.645  1.0
  O  O11  1  0.308  0.603  0.151  1.0
  O  O12  1  0.684  0.393  0.849  1.0
  O  O13  1  0.625  0.898  0.276  1.0
  O  O14  1  0.603  0.308  0.349  1.0
  O  O15  1  0.776  0.021  0.863  1.0
  O  O16  1  0.898  0.625  0.224  1.0
  O  O17  1  0.972  0.200  0.286  1.0
[/CIF]
.