The compound described by Zr4CdO9 crystallizes in the monoclinic C2/m space group. There are four inequivalent Zr sites. In the first Zr site, Zr(1) is bonded in a 7-coordinate geometry to one O(2), one O(3), one O(5), two equivalent O(1), and two equivalent O(4) atoms. In the second Zr site, Zr(2) is bonded in a 7-coordinate geometry to one O(1), one O(4), one O(8), two equivalent O(2), and two equivalent O(5) atoms. In the third Zr site, Zr(3) is bonded in a 7-coordinate geometry to one O(8), one O(9), two equivalent O(7), and three equivalent O(6) atoms. In the fourth Zr site, Zr(4) is bonded in a 7-coordinate geometry to one O(5), one O(6), one O(7), two equivalent O(8), and two equivalent O(9) atoms. There are two inequivalent Cd sites. In the first Cd site, Cd(1) is bonded to two equivalent O(1) and four equivalent O(3) atoms to form distorted edge-sharing CdO6 octahedra. In the second Cd site, Cd(2) is bonded in a 4-coordinate geometry to two equivalent O(2) and two equivalent O(3) atoms. There are nine inequivalent O sites. In the first O site, O(1) is bonded to one Zr(2), two equivalent Zr(1), and one Cd(1) atom to form distorted OZr3Cd tetrahedra that share  a cornercorner with one O(8)Zr4 tetrahedra, corners with two equivalent O(3)ZrCd3 tetrahedra, corners with three equivalent O(1)Zr3Cd tetrahedra, corners with four equivalent O(2)Zr3Cd tetrahedra, edges with two equivalent O(5)Zr4 tetrahedra, and edges with two equivalent O(3)ZrCd3 tetrahedra. In the second O site, O(2) is bonded to one Zr(1), two equivalent Zr(2), and one Cd(2) atom to form distorted OZr3Cd tetrahedra that share  a cornercorner with one O(3)ZrCd3 tetrahedra, corners with two equivalent O(8)Zr4 tetrahedra, corners with three equivalent O(2)Zr3Cd tetrahedra, corners with three equivalent O(5)Zr4 tetrahedra, corners with four equivalent O(1)Zr3Cd tetrahedra,  an edgeedge with one O(5)Zr4 tetrahedra, and  an edgeedge with one O(3)ZrCd3 tetrahedra. In the third O site, O(3) is bonded to one Zr(1), one Cd(2), and two equivalent Cd(1) atoms to form OZrCd3 tetrahedra that share  a cornercorner with one O(2)Zr3Cd tetrahedra,  a cornercorner with one O(5)Zr4 tetrahedra, corners with two equivalent O(1)Zr3Cd tetrahedra, corners with five equivalent O(3)ZrCd3 tetrahedra,  an edgeedge with one O(2)Zr3Cd tetrahedra,  an edgeedge with one O(3)ZrCd3 tetrahedra, and edges with two equivalent O(1)Zr3Cd tetrahedra. In the fourth O site, O(4) is bonded in a trigonal non-coplanar geometry to one Zr(2) and two equivalent Zr(1) atoms. In the fifth O site, O(5) is bonded to one Zr(1), one Zr(4), and two equivalent Zr(2) atoms to form distorted OZr4 tetrahedra that share  a cornercorner with one O(6)Zr4 tetrahedra,  a cornercorner with one O(3)ZrCd3 tetrahedra, corners with two equivalent O(5)Zr4 tetrahedra, corners with three equivalent O(2)Zr3Cd tetrahedra,  an edgeedge with one O(2)Zr3Cd tetrahedra, edges with two equivalent O(1)Zr3Cd tetrahedra, and edges with two equivalent O(8)Zr4 tetrahedra. In the sixth O site, O(6) is bonded to one Zr(4) and three equivalent Zr(3) atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the seventh O site, O(7) is bonded in a trigonal non-coplanar geometry to one Zr(4) and two equivalent Zr(3) atoms. In the eighth O site, O(8) is bonded to one Zr(2), one Zr(3), and two equivalent Zr(4) atoms to form distorted OZr4 tetrahedra that share  a cornercorner with one O(1)Zr3Cd tetrahedra,  a cornercorner with one O(6)Zr4 tetrahedra, corners with two equivalent O(2)Zr3Cd tetrahedra, corners with two equivalent O(8)Zr4 tetrahedra, edges with two equivalent O(5)Zr4 tetrahedra, and edges with two equivalent O(6)Zr4 tetrahedra. In the ninth O site, O(9) is bonded in a trigonal non-coplanar geometry to one Zr(3) and two equivalent Zr(4) atoms. is represented by the CIF file [CIF]
data_Zr4CdO9
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   16.884
_cell_length_b   16.884
_cell_length_c   6.113
_cell_angle_alpha   88.941
_cell_angle_beta   88.941
_cell_angle_gamma   11.919
_symmetry_Int_Tables_number   1
_cell_volume   359.835
_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
  Zr  Zr0  1  0.412  0.412  0.689  1.0
  Zr  Zr1  1  0.894  0.894  0.189  1.0
  Zr  Zr2  1  0.588  0.588  0.311  1.0
  Zr  Zr3  1  0.106  0.106  0.811  1.0
  Zr  Zr4  1  0.207  0.207  0.110  1.0
  Zr  Zr5  1  0.793  0.793  0.890  1.0
  Zr  Zr6  1  0.692  0.692  0.594  1.0
  Zr  Zr7  1  0.308  0.308  0.406  1.0
  Cd  Cd8  1  0.000  0.000  0.500  1.0
  Cd  Cd9  1  0.500  0.500  0.000  1.0
  O  O10  1  0.931  0.931  0.460  1.0
  O  O11  1  0.423  0.423  0.069  1.0
  O  O12  1  0.526  0.526  0.296  1.0
  O  O13  1  0.112  0.112  0.172  1.0
  O  O14  1  0.629  0.629  0.586  1.0
  O  O15  1  0.730  0.730  0.878  1.0
  O  O16  1  0.474  0.474  0.704  1.0
  O  O17  1  0.577  0.577  0.931  1.0
  O  O18  1  0.318  0.318  0.767  1.0
  O  O19  1  0.169  0.169  0.827  1.0
  O  O20  1  0.069  0.069  0.540  1.0
  O  O21  1  0.216  0.216  0.470  1.0
  O  O22  1  0.784  0.784  0.530  1.0
  O  O23  1  0.682  0.682  0.233  1.0
  O  O24  1  0.831  0.831  0.173  1.0
  O  O25  1  0.270  0.270  0.122  1.0
  O  O26  1  0.371  0.371  0.414  1.0
  O  O27  1  0.888  0.888  0.828  1.0
[/CIF]
.
The compound described by Zr4CdO9 crystallizes in the monoclinic C2/m space group. There are four inequivalent Zr sites. In the first Zr site, Zr(1) is bonded in a 7-coordinate geometry to one O(2), one O(3), one O(5), two equivalent O(1), and two equivalent O(4) atoms. In the second Zr site, Zr(2) is bonded in a 7-coordinate geometry to one O(1), one O(4), one O(8), two equivalent O(2), and two equivalent O(5) atoms. In the third Zr site, Zr(3) is bonded in a 7-coordinate geometry to one O(8), one O(9), two equivalent O(7), and three equivalent O(6) atoms. In the fourth Zr site, Zr(4) is bonded in a 7-coordinate geometry to one O(5), one O(6), one O(7), two equivalent O(8), and two equivalent O(9) atoms. There are two inequivalent Cd sites. In the first Cd site, Cd(1) is bonded to two equivalent O(1) and four equivalent O(3) atoms to form distorted edge-sharing CdO6 octahedra. In the second Cd site, Cd(2) is bonded in a 4-coordinate geometry to two equivalent O(2) and two equivalent O(3) atoms. There are nine inequivalent O sites. In the first O site, O(1) is bonded to one Zr(2), two equivalent Zr(1), and one Cd(1) atom to form distorted OZr3Cd tetrahedra that share  a cornercorner with one O(8)Zr4 tetrahedra, corners with two equivalent O(3)ZrCd3 tetrahedra, corners with three equivalent O(1)Zr3Cd tetrahedra, corners with four equivalent O(2)Zr3Cd tetrahedra, edges with two equivalent O(5)Zr4 tetrahedra, and edges with two equivalent O(3)ZrCd3 tetrahedra. In the second O site, O(2) is bonded to one Zr(1), two equivalent Zr(2), and one Cd(2) atom to form distorted OZr3Cd tetrahedra that share  a cornercorner with one O(3)ZrCd3 tetrahedra, corners with two equivalent O(8)Zr4 tetrahedra, corners with three equivalent O(2)Zr3Cd tetrahedra, corners with three equivalent O(5)Zr4 tetrahedra, corners with four equivalent O(1)Zr3Cd tetrahedra,  an edgeedge with one O(5)Zr4 tetrahedra, and  an edgeedge with one O(3)ZrCd3 tetrahedra. In the third O site, O(3) is bonded to one Zr(1), one Cd(2), and two equivalent Cd(1) atoms to form OZrCd3 tetrahedra that share  a cornercorner with one O(2)Zr3Cd tetrahedra,  a cornercorner with one O(5)Zr4 tetrahedra, corners with two equivalent O(1)Zr3Cd tetrahedra, corners with five equivalent O(3)ZrCd3 tetrahedra,  an edgeedge with one O(2)Zr3Cd tetrahedra,  an edgeedge with one O(3)ZrCd3 tetrahedra, and edges with two equivalent O(1)Zr3Cd tetrahedra. In the fourth O site, O(4) is bonded in a trigonal non-coplanar geometry to one Zr(2) and two equivalent Zr(1) atoms. In the fifth O site, O(5) is bonded to one Zr(1), one Zr(4), and two equivalent Zr(2) atoms to form distorted OZr4 tetrahedra that share  a cornercorner with one O(6)Zr4 tetrahedra,  a cornercorner with one O(3)ZrCd3 tetrahedra, corners with two equivalent O(5)Zr4 tetrahedra, corners with three equivalent O(2)Zr3Cd tetrahedra,  an edgeedge with one O(2)Zr3Cd tetrahedra, edges with two equivalent O(1)Zr3Cd tetrahedra, and edges with two equivalent O(8)Zr4 tetrahedra. In the sixth O site, O(6) is bonded to one Zr(4) and three equivalent Zr(3) atoms to form a mixture of distorted edge and corner-sharing OZr4 tetrahedra. In the seventh O site, O(7) is bonded in a trigonal non-coplanar geometry to one Zr(4) and two equivalent Zr(3) atoms. In the eighth O site, O(8) is bonded to one Zr(2), one Zr(3), and two equivalent Zr(4) atoms to form distorted OZr4 tetrahedra that share  a cornercorner with one O(1)Zr3Cd tetrahedra,  a cornercorner with one O(6)Zr4 tetrahedra, corners with two equivalent O(2)Zr3Cd tetrahedra, corners with two equivalent O(8)Zr4 tetrahedra, edges with two equivalent O(5)Zr4 tetrahedra, and edges with two equivalent O(6)Zr4 tetrahedra. In the ninth O site, O(9) is bonded in a trigonal non-coplanar geometry to one Zr(3) and two equivalent Zr(4) atoms. is represented by the CIF file [CIF]
data_Zr4CdO9
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   16.884
_cell_length_b   16.884
_cell_length_c   6.113
_cell_angle_alpha   88.941
_cell_angle_beta   88.941
_cell_angle_gamma   11.919
_symmetry_Int_Tables_number   1
_cell_volume   359.835
_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
  Zr  Zr0  1  0.412  0.412  0.689  1.0
  Zr  Zr1  1  0.894  0.894  0.189  1.0
  Zr  Zr2  1  0.588  0.588  0.311  1.0
  Zr  Zr3  1  0.106  0.106  0.811  1.0
  Zr  Zr4  1  0.207  0.207  0.110  1.0
  Zr  Zr5  1  0.793  0.793  0.890  1.0
  Zr  Zr6  1  0.692  0.692  0.594  1.0
  Zr  Zr7  1  0.308  0.308  0.406  1.0
  Cd  Cd8  1  0.000  0.000  0.500  1.0
  Cd  Cd9  1  0.500  0.500  0.000  1.0
  O  O10  1  0.931  0.931  0.460  1.0
  O  O11  1  0.423  0.423  0.069  1.0
  O  O12  1  0.526  0.526  0.296  1.0
  O  O13  1  0.112  0.112  0.172  1.0
  O  O14  1  0.629  0.629  0.586  1.0
  O  O15  1  0.730  0.730  0.878  1.0
  O  O16  1  0.474  0.474  0.704  1.0
  O  O17  1  0.577  0.577  0.931  1.0
  O  O18  1  0.318  0.318  0.767  1.0
  O  O19  1  0.169  0.169  0.827  1.0
  O  O20  1  0.069  0.069  0.540  1.0
  O  O21  1  0.216  0.216  0.470  1.0
  O  O22  1  0.784  0.784  0.530  1.0
  O  O23  1  0.682  0.682  0.233  1.0
  O  O24  1  0.831  0.831  0.173  1.0
  O  O25  1  0.270  0.270  0.122  1.0
  O  O26  1  0.371  0.371  0.414  1.0
  O  O27  1  0.888  0.888  0.828  1.0
[/CIF]
.