The material structure described by V3Cd5O12 crystallizes in the monoclinic C2/c space group. There are two inequivalent V sites. In the first V site, V(1) is bonded to two equivalent O(1) and two equivalent O(2) atoms to form VO4 tetrahedra that share corners with two equivalent Cd(3)O6 octahedra and corners with four equivalent Cd(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-60°. 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 Cd(3)O6 octahedra and corners with four equivalent Cd(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 43-64°. There are four inequivalent Cd sites. In the first Cd site, Cd(1) is bonded in a rectangular see-saw-like geometry to four equivalent O(5) atoms. In the second Cd site, Cd(2) is bonded in a 6-coordinate geometry to two equivalent O(2) and four equivalent O(3) atoms. In the third Cd site, Cd(3) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(6) atoms to form distorted CdO6 octahedra that share corners with two equivalent V(1)O4 tetrahedra, corners with four equivalent V(2)O4 tetrahedra, and edges with two equivalent Cd(4)O6 octahedra. In the fourth Cd site, Cd(4) is bonded to one O(1), one O(2), one O(5), one O(6), and two equivalent O(4) atoms to form CdO6 octahedra that share corners with two equivalent V(1)O4 tetrahedra, corners with four equivalent V(2)O4 tetrahedra,  an edgeedge with one Cd(3)O6 octahedra, and  an edgeedge with one Cd(4)O6 octahedra. There are six inequivalent O sites. In the first O site, O(1) is bonded in a distorted trigonal planar geometry to one V(1), one Cd(3), and one Cd(4) atom. In the second O site, O(2) is bonded in a distorted trigonal planar geometry to one V(1), one Cd(2), and one Cd(4) atom. In the third O site, O(3) is bonded in a 3-coordinate geometry to one V(2), one Cd(3), and two equivalent Cd(2) atoms. In the fourth O site, O(4) is bonded in a 3-coordinate geometry to one V(2) and two equivalent Cd(4) atoms. In the fifth O site, O(5) is bonded to one V(2), one Cd(4), and two equivalent Cd(1) atoms to form a mixture of distorted corner and edge-sharing OVCd3 trigonal pyramids. In the sixth O site, O(6) is bonded in a distorted trigonal planar geometry to one V(2), one Cd(3), and one Cd(4) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_V3Cd5O12
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   9.458
_cell_length_b   9.458
_cell_length_c   7.148
_cell_angle_alpha   73.675
_cell_angle_beta   73.675
_cell_angle_gamma   94.216
_symmetry_Int_Tables_number   1
_cell_volume   580.726
_cell_formula_units_Z   2
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
  V  V0  1  0.702  0.298  0.250  1.0
  V  V1  1  0.298  0.702  0.750  1.0
  V  V2  1  0.658  0.879  0.131  1.0
  V  V3  1  0.342  0.121  0.869  1.0
  V  V4  1  0.121  0.342  0.369  1.0
  V  V5  1  0.879  0.658  0.631  1.0
  Cd  Cd6  1  0.990  0.010  0.250  1.0
  Cd  Cd7  1  0.010  0.990  0.750  1.0
  Cd  Cd8  1  0.500  0.500  0.000  1.0
  Cd  Cd9  1  0.500  0.500  0.500  1.0
  Cd  Cd10  1  0.270  0.730  0.250  1.0
  Cd  Cd11  1  0.730  0.270  0.750  1.0
  Cd  Cd12  1  0.369  0.061  0.365  1.0
  Cd  Cd13  1  0.631  0.939  0.635  1.0
  Cd  Cd14  1  0.939  0.631  0.135  1.0
  Cd  Cd15  1  0.061  0.369  0.865  1.0
  O  O16  1  0.731  0.185  0.471  1.0
  O  O17  1  0.269  0.815  0.529  1.0
  O  O18  1  0.815  0.269  0.029  1.0
  O  O19  1  0.185  0.731  0.971  1.0
  O  O20  1  0.521  0.282  0.232  1.0
  O  O21  1  0.479  0.718  0.768  1.0
  O  O22  1  0.718  0.479  0.268  1.0
  O  O23  1  0.282  0.521  0.732  1.0
  O  O24  1  0.531  0.708  0.198  1.0
  O  O25  1  0.469  0.292  0.802  1.0
  O  O26  1  0.292  0.469  0.302  1.0
  O  O27  1  0.708  0.531  0.698  1.0
  O  O28  1  0.601  0.961  0.319  1.0
  O  O29  1  0.399  0.039  0.681  1.0
  O  O30  1  0.039  0.399  0.181  1.0
  O  O31  1  0.961  0.601  0.819  1.0
  O  O32  1  0.846  0.852  0.106  1.0
  O  O33  1  0.154  0.148  0.894  1.0
  O  O34  1  0.148  0.154  0.394  1.0
  O  O35  1  0.852  0.846  0.606  1.0
  O  O36  1  0.334  0.991  0.101  1.0
  O  O37  1  0.666  0.009  0.899  1.0
  O  O38  1  0.009  0.666  0.399  1.0
  O  O39  1  0.991  0.334  0.601  1.0
[/CIF]
.
The material structure described by V3Cd5O12 crystallizes in the monoclinic C2/c space group. There are two inequivalent V sites. In the first V site, V(1) is bonded to two equivalent O(1) and two equivalent O(2) atoms to form VO4 tetrahedra that share corners with two equivalent Cd(3)O6 octahedra and corners with four equivalent Cd(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-60°. 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 Cd(3)O6 octahedra and corners with four equivalent Cd(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 43-64°. There are four inequivalent Cd sites. In the first Cd site, Cd(1) is bonded in a rectangular see-saw-like geometry to four equivalent O(5) atoms. In the second Cd site, Cd(2) is bonded in a 6-coordinate geometry to two equivalent O(2) and four equivalent O(3) atoms. In the third Cd site, Cd(3) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(6) atoms to form distorted CdO6 octahedra that share corners with two equivalent V(1)O4 tetrahedra, corners with four equivalent V(2)O4 tetrahedra, and edges with two equivalent Cd(4)O6 octahedra. In the fourth Cd site, Cd(4) is bonded to one O(1), one O(2), one O(5), one O(6), and two equivalent O(4) atoms to form CdO6 octahedra that share corners with two equivalent V(1)O4 tetrahedra, corners with four equivalent V(2)O4 tetrahedra,  an edgeedge with one Cd(3)O6 octahedra, and  an edgeedge with one Cd(4)O6 octahedra. There are six inequivalent O sites. In the first O site, O(1) is bonded in a distorted trigonal planar geometry to one V(1), one Cd(3), and one Cd(4) atom. In the second O site, O(2) is bonded in a distorted trigonal planar geometry to one V(1), one Cd(2), and one Cd(4) atom. In the third O site, O(3) is bonded in a 3-coordinate geometry to one V(2), one Cd(3), and two equivalent Cd(2) atoms. In the fourth O site, O(4) is bonded in a 3-coordinate geometry to one V(2) and two equivalent Cd(4) atoms. In the fifth O site, O(5) is bonded to one V(2), one Cd(4), and two equivalent Cd(1) atoms to form a mixture of distorted corner and edge-sharing OVCd3 trigonal pyramids. In the sixth O site, O(6) is bonded in a distorted trigonal planar geometry to one V(2), one Cd(3), and one Cd(4) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_V3Cd5O12
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   9.458
_cell_length_b   9.458
_cell_length_c   7.148
_cell_angle_alpha   73.675
_cell_angle_beta   73.675
_cell_angle_gamma   94.216
_symmetry_Int_Tables_number   1
_cell_volume   580.726
_cell_formula_units_Z   2
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
  V  V0  1  0.702  0.298  0.250  1.0
  V  V1  1  0.298  0.702  0.750  1.0
  V  V2  1  0.658  0.879  0.131  1.0
  V  V3  1  0.342  0.121  0.869  1.0
  V  V4  1  0.121  0.342  0.369  1.0
  V  V5  1  0.879  0.658  0.631  1.0
  Cd  Cd6  1  0.990  0.010  0.250  1.0
  Cd  Cd7  1  0.010  0.990  0.750  1.0
  Cd  Cd8  1  0.500  0.500  0.000  1.0
  Cd  Cd9  1  0.500  0.500  0.500  1.0
  Cd  Cd10  1  0.270  0.730  0.250  1.0
  Cd  Cd11  1  0.730  0.270  0.750  1.0
  Cd  Cd12  1  0.369  0.061  0.365  1.0
  Cd  Cd13  1  0.631  0.939  0.635  1.0
  Cd  Cd14  1  0.939  0.631  0.135  1.0
  Cd  Cd15  1  0.061  0.369  0.865  1.0
  O  O16  1  0.731  0.185  0.471  1.0
  O  O17  1  0.269  0.815  0.529  1.0
  O  O18  1  0.815  0.269  0.029  1.0
  O  O19  1  0.185  0.731  0.971  1.0
  O  O20  1  0.521  0.282  0.232  1.0
  O  O21  1  0.479  0.718  0.768  1.0
  O  O22  1  0.718  0.479  0.268  1.0
  O  O23  1  0.282  0.521  0.732  1.0
  O  O24  1  0.531  0.708  0.198  1.0
  O  O25  1  0.469  0.292  0.802  1.0
  O  O26  1  0.292  0.469  0.302  1.0
  O  O27  1  0.708  0.531  0.698  1.0
  O  O28  1  0.601  0.961  0.319  1.0
  O  O29  1  0.399  0.039  0.681  1.0
  O  O30  1  0.039  0.399  0.181  1.0
  O  O31  1  0.961  0.601  0.819  1.0
  O  O32  1  0.846  0.852  0.106  1.0
  O  O33  1  0.154  0.148  0.894  1.0
  O  O34  1  0.148  0.154  0.394  1.0
  O  O35  1  0.852  0.846  0.606  1.0
  O  O36  1  0.334  0.991  0.101  1.0
  O  O37  1  0.666  0.009  0.899  1.0
  O  O38  1  0.009  0.666  0.399  1.0
  O  O39  1  0.991  0.334  0.601  1.0
[/CIF]
.