The compound described by Na14Cd2O9 crystallizes in the trigonal P-3 space group. There are three inequivalent Na sites. In the first Na site, Na(1) is bonded to one O(1), one O(2), and two equivalent O(3) atoms to form distorted NaO4 tetrahedra that share  a cornercorner with one Na(3)O4 tetrahedra,  a cornercorner with one Cd(1)O4 tetrahedra, corners with four equivalent Na(2)O4 tetrahedra, corners with nine equivalent Na(1)O4 tetrahedra,  an edgeedge with one Na(3)O4 tetrahedra,  an edgeedge with one Cd(1)O4 tetrahedra, and edges with three equivalent Na(1)O4 tetrahedra. In the second Na site, Na(2) is bonded to four equivalent O(1) atoms to form distorted NaO4 tetrahedra that share corners with two equivalent Na(3)O4 tetrahedra, corners with two equivalent Cd(1)O4 tetrahedra, corners with four equivalent Na(1)O4 tetrahedra, corners with six equivalent Na(2)O4 tetrahedra,  an edgeedge with one Na(3)O4 tetrahedra,  an edgeedge with one Cd(1)O4 tetrahedra, and edges with three equivalent Na(2)O4 tetrahedra. In the third Na site, Na(3) is bonded to one O(2) and three equivalent O(1) atoms to form NaO4 tetrahedra that share  a cornercorner with one Na(3)O4 tetrahedra, corners with three equivalent Na(1)O4 tetrahedra, corners with three equivalent Cd(1)O4 tetrahedra, corners with six equivalent Na(2)O4 tetrahedra, edges with three equivalent Na(1)O4 tetrahedra, and edges with three equivalent Na(2)O4 tetrahedra. Cd(1) is bonded to one O(3) and three equivalent O(1) atoms to form CdO4 tetrahedra that share corners with three equivalent Na(1)O4 tetrahedra, corners with three equivalent Na(3)O4 tetrahedra, corners with six equivalent Na(2)O4 tetrahedra, edges with three equivalent Na(1)O4 tetrahedra, and edges with three equivalent Na(2)O4 tetrahedra. There are three inequivalent O sites. In the first O site, O(1) is bonded to one Na(1), one Na(3), four equivalent Na(2), and one Cd(1) atom to form a mixture of distorted edge and corner-sharing ONa6Cd pentagonal bipyramids. In the second O site, O(2) is bonded in a body-centered cubic geometry to two equivalent Na(3) and six equivalent Na(1) atoms. In the third O site, O(3) is bonded in a 7-coordinate geometry to six equivalent Na(1) and one Cd(1) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Na14Cd2O9
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.719
_cell_length_b   6.719
_cell_length_c   9.359
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.002
_symmetry_Int_Tables_number   1
_cell_volume   365.869
_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
  Na  Na0  1  0.318  0.358  0.908  1.0
  Na  Na1  1  0.960  0.318  0.092  1.0
  Na  Na2  1  0.642  0.960  0.908  1.0
  Na  Na3  1  0.687  0.061  0.410  1.0
  Na  Na4  1  0.040  0.682  0.908  1.0
  Na  Na5  1  1.000  1.000  0.253  1.0
  Na  Na6  1  0.000  0.000  0.747  1.0
  Na  Na7  1  0.682  0.642  0.092  1.0
  Na  Na8  1  0.061  0.374  0.590  1.0
  Na  Na9  1  0.374  0.313  0.410  1.0
  Na  Na10  1  0.939  0.626  0.410  1.0
  Na  Na11  1  0.313  0.939  0.590  1.0
  Na  Na12  1  0.626  0.687  0.590  1.0
  Na  Na13  1  0.358  0.040  0.092  1.0
  Cd  Cd14  1  0.667  0.333  0.740  1.0
  Cd  Cd15  1  0.333  0.667  0.260  1.0
  O  O16  1  0.305  0.962  0.341  1.0
  O  O17  1  0.657  0.695  0.341  1.0
  O  O18  1  0.038  0.343  0.341  1.0
  O  O19  1  0.695  0.038  0.659  1.0
  O  O20  1  0.343  0.305  0.659  1.0
  O  O21  1  0.962  0.657  0.659  1.0
  O  O22  1  0.000  0.000  0.000  1.0
  O  O23  1  0.667  0.333  0.976  1.0
  O  O24  1  0.333  0.667  0.024  1.0
[/CIF]
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The compound described by Na14Cd2O9 crystallizes in the trigonal P-3 space group. There are three inequivalent Na sites. In the first Na site, Na(1) is bonded to one O(1), one O(2), and two equivalent O(3) atoms to form distorted NaO4 tetrahedra that share  a cornercorner with one Na(3)O4 tetrahedra,  a cornercorner with one Cd(1)O4 tetrahedra, corners with four equivalent Na(2)O4 tetrahedra, corners with nine equivalent Na(1)O4 tetrahedra,  an edgeedge with one Na(3)O4 tetrahedra,  an edgeedge with one Cd(1)O4 tetrahedra, and edges with three equivalent Na(1)O4 tetrahedra. In the second Na site, Na(2) is bonded to four equivalent O(1) atoms to form distorted NaO4 tetrahedra that share corners with two equivalent Na(3)O4 tetrahedra, corners with two equivalent Cd(1)O4 tetrahedra, corners with four equivalent Na(1)O4 tetrahedra, corners with six equivalent Na(2)O4 tetrahedra,  an edgeedge with one Na(3)O4 tetrahedra,  an edgeedge with one Cd(1)O4 tetrahedra, and edges with three equivalent Na(2)O4 tetrahedra. In the third Na site, Na(3) is bonded to one O(2) and three equivalent O(1) atoms to form NaO4 tetrahedra that share  a cornercorner with one Na(3)O4 tetrahedra, corners with three equivalent Na(1)O4 tetrahedra, corners with three equivalent Cd(1)O4 tetrahedra, corners with six equivalent Na(2)O4 tetrahedra, edges with three equivalent Na(1)O4 tetrahedra, and edges with three equivalent Na(2)O4 tetrahedra. Cd(1) is bonded to one O(3) and three equivalent O(1) atoms to form CdO4 tetrahedra that share corners with three equivalent Na(1)O4 tetrahedra, corners with three equivalent Na(3)O4 tetrahedra, corners with six equivalent Na(2)O4 tetrahedra, edges with three equivalent Na(1)O4 tetrahedra, and edges with three equivalent Na(2)O4 tetrahedra. There are three inequivalent O sites. In the first O site, O(1) is bonded to one Na(1), one Na(3), four equivalent Na(2), and one Cd(1) atom to form a mixture of distorted edge and corner-sharing ONa6Cd pentagonal bipyramids. In the second O site, O(2) is bonded in a body-centered cubic geometry to two equivalent Na(3) and six equivalent Na(1) atoms. In the third O site, O(3) is bonded in a 7-coordinate geometry to six equivalent Na(1) and one Cd(1) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Na14Cd2O9
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.719
_cell_length_b   6.719
_cell_length_c   9.359
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.002
_symmetry_Int_Tables_number   1
_cell_volume   365.869
_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
  Na  Na0  1  0.318  0.358  0.908  1.0
  Na  Na1  1  0.960  0.318  0.092  1.0
  Na  Na2  1  0.642  0.960  0.908  1.0
  Na  Na3  1  0.687  0.061  0.410  1.0
  Na  Na4  1  0.040  0.682  0.908  1.0
  Na  Na5  1  1.000  1.000  0.253  1.0
  Na  Na6  1  0.000  0.000  0.747  1.0
  Na  Na7  1  0.682  0.642  0.092  1.0
  Na  Na8  1  0.061  0.374  0.590  1.0
  Na  Na9  1  0.374  0.313  0.410  1.0
  Na  Na10  1  0.939  0.626  0.410  1.0
  Na  Na11  1  0.313  0.939  0.590  1.0
  Na  Na12  1  0.626  0.687  0.590  1.0
  Na  Na13  1  0.358  0.040  0.092  1.0
  Cd  Cd14  1  0.667  0.333  0.740  1.0
  Cd  Cd15  1  0.333  0.667  0.260  1.0
  O  O16  1  0.305  0.962  0.341  1.0
  O  O17  1  0.657  0.695  0.341  1.0
  O  O18  1  0.038  0.343  0.341  1.0
  O  O19  1  0.695  0.038  0.659  1.0
  O  O20  1  0.343  0.305  0.659  1.0
  O  O21  1  0.962  0.657  0.659  1.0
  O  O22  1  0.000  0.000  0.000  1.0
  O  O23  1  0.667  0.333  0.976  1.0
  O  O24  1  0.333  0.667  0.024  1.0
[/CIF]
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