The crystal structure described by RbV3Cd4O12 crystallizes in the monoclinic Cc space group. Rb(1) is bonded in a 10-coordinate geometry to one O(11), one O(12), one O(5), one O(6), one O(7), one O(8), two equivalent O(1), and two equivalent O(2) atoms. There are three inequivalent V sites. In the first V site, V(1) 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(2)O6 octahedra, corners with two equivalent Cd(3)O6 octahedra, and corners with two equivalent Cd(1)O6 pentagonal pyramids. The corner-sharing octahedral tilt angles range from 53-61°. In the second V site, V(2) is bonded to one O(1), one O(11), one O(7), and one O(9) atom to form VO4 tetrahedra that share  a cornercorner with one Cd(2)O6 octahedra, corners with three equivalent Cd(3)O6 octahedra, and corners with two equivalent Cd(1)O6 pentagonal pyramids. The corner-sharing octahedral tilt angles range from 40-66°. In the third V site, V(3) is bonded to one O(10), one O(12), one O(2), and one O(8) atom to form VO4 tetrahedra that share  a cornercorner with one Cd(3)O6 octahedra, corners with three equivalent Cd(2)O6 octahedra, and corners with two equivalent Cd(1)O6 pentagonal pyramids. The corner-sharing octahedral tilt angles range from 39-65°. There are four inequivalent Cd sites. In the first Cd site, Cd(1) is bonded to one O(10), one O(5), one O(6), one O(7), one O(8), and one O(9) atom to form distorted CdO6 pentagonal pyramids that share corners with two equivalent V(1)O4 tetrahedra, corners with two equivalent V(2)O4 tetrahedra, corners with two equivalent V(3)O4 tetrahedra,  an edgeedge with one Cd(2)O6 octahedra, and  an edgeedge with one Cd(3)O6 octahedra. In the second Cd site, Cd(2) is bonded to one O(11), one O(12), one O(2), one O(3), one O(6), and one O(8) atom to form CdO6 octahedra that share  a cornercorner with one V(2)O4 tetrahedra, corners with two equivalent V(1)O4 tetrahedra, corners with three equivalent V(3)O4 tetrahedra,  an edgeedge with one Cd(3)O6 octahedra, and  an edgeedge with one Cd(1)O6 pentagonal pyramid. In the third Cd site, Cd(3) is bonded to one O(1), one O(11), one O(12), one O(4), one O(5), and one O(7) atom to form CdO6 octahedra that share  a cornercorner with one V(3)O4 tetrahedra, corners with two equivalent V(1)O4 tetrahedra, corners with three equivalent V(2)O4 tetrahedra,  an edgeedge with one Cd(2)O6 octahedra, and  an edgeedge with one Cd(1)O6 pentagonal pyramid. In the fourth Cd site, Cd(4) is bonded in a 5-coordinate geometry to one O(3), one O(4), one O(9), and two equivalent O(10) atoms. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a 4-coordinate geometry to two equivalent Rb(1), one V(2), and one Cd(3) atom. In the second O site, O(2) is bonded in a 4-coordinate geometry to two equivalent Rb(1), one V(3), and one Cd(2) atom. In the third O site, O(3) is bonded in a distorted trigonal planar geometry to one V(1), one Cd(2), and one Cd(4) atom. In the fourth O site, O(4) is bonded in a distorted trigonal planar geometry to one V(1), one Cd(3), and one Cd(4) atom. In the fifth O site, O(5) is bonded in a 4-coordinate geometry to one Rb(1), one V(1), one Cd(1), and one Cd(3) atom. In the sixth O site, O(6) is bonded in a 4-coordinate geometry to one Rb(1), one V(1), one Cd(1), and one Cd(2) atom. In the seventh O site, O(7) is bonded in a 3-coordinate geometry to one Rb(1), one V(2), one Cd(1), and one Cd(3) atom. In the eighth O site, O(8) is bonded in a 3-coordinate geometry to one Rb(1), one V(3), one Cd(1), and one Cd(2) atom. In the ninth O site, O(9) is bonded in a distorted trigonal planar geometry to one V(2), one Cd(1), and one Cd(4) atom. In the tenth O site, O(10) is bonded in a 4-coordinate geometry to one V(3), one Cd(1), and two equivalent Cd(4) atoms. In the eleventh O site, O(11) is bonded in a 3-coordinate geometry to one Rb(1), one V(2), one Cd(2), and one Cd(3) atom. In the twelfth O site, O(12) is bonded in a 3-coordinate geometry to one Rb(1), one V(3), one Cd(2), and one Cd(3) atom. is represented by the CIF card [CIF]
data_RbV3Cd4O12
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   9.568
_cell_length_b   9.568
_cell_length_c   7.197
_cell_angle_alpha   72.901
_cell_angle_beta   72.901
_cell_angle_gamma   91.965
_symmetry_Int_Tables_number   1
_cell_volume   596.644
_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
  Rb  Rb0  1  0.974  0.027  0.750  1.0
  Rb  Rb1  1  0.027  0.974  0.250  1.0
  V  V2  1  0.703  0.296  0.750  1.0
  V  V3  1  0.296  0.703  0.250  1.0
  V  V4  1  0.130  0.351  0.859  1.0
  V  V5  1  0.650  0.872  0.639  1.0
  V  V6  1  0.872  0.650  0.139  1.0
  V  V7  1  0.351  0.130  0.359  1.0
  Cd  Cd8  1  0.264  0.735  0.752  1.0
  Cd  Cd9  1  0.735  0.264  0.252  1.0
  Cd  Cd10  1  0.939  0.615  0.649  1.0
  Cd  Cd11  1  0.383  0.064  0.850  1.0
  Cd  Cd12  1  0.064  0.383  0.350  1.0
  Cd  Cd13  1  0.615  0.939  0.149  1.0
  Cd  Cd14  1  0.514  0.524  0.530  1.0
  Cd  Cd15  1  0.524  0.514  0.030  1.0
  O  O16  1  0.182  0.180  0.868  1.0
  O  O17  1  0.820  0.818  0.632  1.0
  O  O18  1  0.818  0.820  0.132  1.0
  O  O19  1  0.180  0.182  0.368  1.0
  O  O20  1  0.714  0.476  0.773  1.0
  O  O21  1  0.528  0.285  0.726  1.0
  O  O22  1  0.285  0.528  0.226  1.0
  O  O23  1  0.476  0.714  0.273  1.0
  O  O24  1  0.821  0.270  0.530  1.0
  O  O25  1  0.730  0.178  0.970  1.0
  O  O26  1  0.178  0.730  0.470  1.0
  O  O27  1  0.270  0.821  0.030  1.0
  O  O28  1  0.994  0.330  0.098  1.0
  O  O29  1  0.671  0.005  0.402  1.0
  O  O30  1  0.005  0.671  0.902  1.0
  O  O31  1  0.330  0.994  0.598  1.0
  O  O32  1  0.285  0.484  0.789  1.0
  O  O33  1  0.519  0.710  0.709  1.0
  O  O34  1  0.710  0.519  0.209  1.0
  O  O35  1  0.484  0.285  0.289  1.0
  O  O36  1  0.041  0.397  0.675  1.0
  O  O37  1  0.603  0.958  0.825  1.0
  O  O38  1  0.958  0.603  0.325  1.0
  O  O39  1  0.397  0.041  0.175  1.0
[/CIF]
.
The crystal structure described by RbV3Cd4O12 crystallizes in the monoclinic Cc space group. Rb(1) is bonded in a 10-coordinate geometry to one O(11), one O(12), one O(5), one O(6), one O(7), one O(8), two equivalent O(1), and two equivalent O(2) atoms. There are three inequivalent V sites. In the first V site, V(1) 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(2)O6 octahedra, corners with two equivalent Cd(3)O6 octahedra, and corners with two equivalent Cd(1)O6 pentagonal pyramids. The corner-sharing octahedral tilt angles range from 53-61°. In the second V site, V(2) is bonded to one O(1), one O(11), one O(7), and one O(9) atom to form VO4 tetrahedra that share  a cornercorner with one Cd(2)O6 octahedra, corners with three equivalent Cd(3)O6 octahedra, and corners with two equivalent Cd(1)O6 pentagonal pyramids. The corner-sharing octahedral tilt angles range from 40-66°. In the third V site, V(3) is bonded to one O(10), one O(12), one O(2), and one O(8) atom to form VO4 tetrahedra that share  a cornercorner with one Cd(3)O6 octahedra, corners with three equivalent Cd(2)O6 octahedra, and corners with two equivalent Cd(1)O6 pentagonal pyramids. The corner-sharing octahedral tilt angles range from 39-65°. There are four inequivalent Cd sites. In the first Cd site, Cd(1) is bonded to one O(10), one O(5), one O(6), one O(7), one O(8), and one O(9) atom to form distorted CdO6 pentagonal pyramids that share corners with two equivalent V(1)O4 tetrahedra, corners with two equivalent V(2)O4 tetrahedra, corners with two equivalent V(3)O4 tetrahedra,  an edgeedge with one Cd(2)O6 octahedra, and  an edgeedge with one Cd(3)O6 octahedra. In the second Cd site, Cd(2) is bonded to one O(11), one O(12), one O(2), one O(3), one O(6), and one O(8) atom to form CdO6 octahedra that share  a cornercorner with one V(2)O4 tetrahedra, corners with two equivalent V(1)O4 tetrahedra, corners with three equivalent V(3)O4 tetrahedra,  an edgeedge with one Cd(3)O6 octahedra, and  an edgeedge with one Cd(1)O6 pentagonal pyramid. In the third Cd site, Cd(3) is bonded to one O(1), one O(11), one O(12), one O(4), one O(5), and one O(7) atom to form CdO6 octahedra that share  a cornercorner with one V(3)O4 tetrahedra, corners with two equivalent V(1)O4 tetrahedra, corners with three equivalent V(2)O4 tetrahedra,  an edgeedge with one Cd(2)O6 octahedra, and  an edgeedge with one Cd(1)O6 pentagonal pyramid. In the fourth Cd site, Cd(4) is bonded in a 5-coordinate geometry to one O(3), one O(4), one O(9), and two equivalent O(10) atoms. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a 4-coordinate geometry to two equivalent Rb(1), one V(2), and one Cd(3) atom. In the second O site, O(2) is bonded in a 4-coordinate geometry to two equivalent Rb(1), one V(3), and one Cd(2) atom. In the third O site, O(3) is bonded in a distorted trigonal planar geometry to one V(1), one Cd(2), and one Cd(4) atom. In the fourth O site, O(4) is bonded in a distorted trigonal planar geometry to one V(1), one Cd(3), and one Cd(4) atom. In the fifth O site, O(5) is bonded in a 4-coordinate geometry to one Rb(1), one V(1), one Cd(1), and one Cd(3) atom. In the sixth O site, O(6) is bonded in a 4-coordinate geometry to one Rb(1), one V(1), one Cd(1), and one Cd(2) atom. In the seventh O site, O(7) is bonded in a 3-coordinate geometry to one Rb(1), one V(2), one Cd(1), and one Cd(3) atom. In the eighth O site, O(8) is bonded in a 3-coordinate geometry to one Rb(1), one V(3), one Cd(1), and one Cd(2) atom. In the ninth O site, O(9) is bonded in a distorted trigonal planar geometry to one V(2), one Cd(1), and one Cd(4) atom. In the tenth O site, O(10) is bonded in a 4-coordinate geometry to one V(3), one Cd(1), and two equivalent Cd(4) atoms. In the eleventh O site, O(11) is bonded in a 3-coordinate geometry to one Rb(1), one V(2), one Cd(2), and one Cd(3) atom. In the twelfth O site, O(12) is bonded in a 3-coordinate geometry to one Rb(1), one V(3), one Cd(2), and one Cd(3) atom. is represented by the CIF card [CIF]
data_RbV3Cd4O12
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   9.568
_cell_length_b   9.568
_cell_length_c   7.197
_cell_angle_alpha   72.901
_cell_angle_beta   72.901
_cell_angle_gamma   91.965
_symmetry_Int_Tables_number   1
_cell_volume   596.644
_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
  Rb  Rb0  1  0.974  0.027  0.750  1.0
  Rb  Rb1  1  0.027  0.974  0.250  1.0
  V  V2  1  0.703  0.296  0.750  1.0
  V  V3  1  0.296  0.703  0.250  1.0
  V  V4  1  0.130  0.351  0.859  1.0
  V  V5  1  0.650  0.872  0.639  1.0
  V  V6  1  0.872  0.650  0.139  1.0
  V  V7  1  0.351  0.130  0.359  1.0
  Cd  Cd8  1  0.264  0.735  0.752  1.0
  Cd  Cd9  1  0.735  0.264  0.252  1.0
  Cd  Cd10  1  0.939  0.615  0.649  1.0
  Cd  Cd11  1  0.383  0.064  0.850  1.0
  Cd  Cd12  1  0.064  0.383  0.350  1.0
  Cd  Cd13  1  0.615  0.939  0.149  1.0
  Cd  Cd14  1  0.514  0.524  0.530  1.0
  Cd  Cd15  1  0.524  0.514  0.030  1.0
  O  O16  1  0.182  0.180  0.868  1.0
  O  O17  1  0.820  0.818  0.632  1.0
  O  O18  1  0.818  0.820  0.132  1.0
  O  O19  1  0.180  0.182  0.368  1.0
  O  O20  1  0.714  0.476  0.773  1.0
  O  O21  1  0.528  0.285  0.726  1.0
  O  O22  1  0.285  0.528  0.226  1.0
  O  O23  1  0.476  0.714  0.273  1.0
  O  O24  1  0.821  0.270  0.530  1.0
  O  O25  1  0.730  0.178  0.970  1.0
  O  O26  1  0.178  0.730  0.470  1.0
  O  O27  1  0.270  0.821  0.030  1.0
  O  O28  1  0.994  0.330  0.098  1.0
  O  O29  1  0.671  0.005  0.402  1.0
  O  O30  1  0.005  0.671  0.902  1.0
  O  O31  1  0.330  0.994  0.598  1.0
  O  O32  1  0.285  0.484  0.789  1.0
  O  O33  1  0.519  0.710  0.709  1.0
  O  O34  1  0.710  0.519  0.209  1.0
  O  O35  1  0.484  0.285  0.289  1.0
  O  O36  1  0.041  0.397  0.675  1.0
  O  O37  1  0.603  0.958  0.825  1.0
  O  O38  1  0.958  0.603  0.325  1.0
  O  O39  1  0.397  0.041  0.175  1.0
[/CIF]
.