The structure described by K6CdO4 crystallizes in the hexagonal P6_3mc space group. There are two inequivalent K sites. In the first K site, K(1) is bonded in a 3-coordinate geometry to one O(2) and four equivalent O(1) atoms. In the second K site, K(2) is bonded to one O(2) and three equivalent O(1) atoms to form distorted KO4 trigonal pyramids that share corners with two equivalent Cd(1)O4 tetrahedra, corners with eight equivalent K(2)O4 trigonal pyramids, and  an edgeedge with one Cd(1)O4 tetrahedra. Cd(1) is bonded to one O(2) and three equivalent O(1) atoms to form CdO4 tetrahedra that share corners with six equivalent K(2)O4 trigonal pyramids and edges with three equivalent K(2)O4 trigonal pyramids. There are two inequivalent O sites. In the first O site, O(1) is bonded in a 8-coordinate geometry to three equivalent K(2), four equivalent K(1), and one Cd(1) atom. In the second O site, O(2) is bonded in a 7-coordinate geometry to three equivalent K(1), three equivalent K(2), and one Cd(1) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_K6CdO4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.667
_cell_length_b   8.667
_cell_length_c   6.631
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   431.428
_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
  K  K0  1  0.536  0.073  0.140  1.0
  K  K1  1  0.464  0.536  0.640  1.0
  K  K2  1  0.927  0.464  0.140  1.0
  K  K3  1  0.536  0.464  0.140  1.0
  K  K4  1  0.144  0.856  0.972  1.0
  K  K5  1  0.288  0.144  0.472  1.0
  K  K6  1  0.073  0.536  0.640  1.0
  K  K7  1  0.856  0.712  0.472  1.0
  K  K8  1  0.856  0.144  0.472  1.0
  K  K9  1  0.712  0.856  0.972  1.0
  K  K10  1  0.144  0.288  0.972  1.0
  K  K11  1  0.464  0.927  0.640  1.0
  Cd  Cd12  1  0.667  0.333  0.751  1.0
  Cd  Cd13  1  0.333  0.667  0.251  1.0
  O  O14  1  0.192  0.808  0.362  1.0
  O  O15  1  0.383  0.192  0.862  1.0
  O  O16  1  0.808  0.617  0.862  1.0
  O  O17  1  0.192  0.383  0.362  1.0
  O  O18  1  0.617  0.808  0.362  1.0
  O  O19  1  0.808  0.192  0.862  1.0
  O  O20  1  0.667  0.333  0.417  1.0
  O  O21  1  0.333  0.667  0.917  1.0
[/CIF]
.
The structure described by K6CdO4 crystallizes in the hexagonal P6_3mc space group. There are two inequivalent K sites. In the first K site, K(1) is bonded in a 3-coordinate geometry to one O(2) and four equivalent O(1) atoms. In the second K site, K(2) is bonded to one O(2) and three equivalent O(1) atoms to form distorted KO4 trigonal pyramids that share corners with two equivalent Cd(1)O4 tetrahedra, corners with eight equivalent K(2)O4 trigonal pyramids, and  an edgeedge with one Cd(1)O4 tetrahedra. Cd(1) is bonded to one O(2) and three equivalent O(1) atoms to form CdO4 tetrahedra that share corners with six equivalent K(2)O4 trigonal pyramids and edges with three equivalent K(2)O4 trigonal pyramids. There are two inequivalent O sites. In the first O site, O(1) is bonded in a 8-coordinate geometry to three equivalent K(2), four equivalent K(1), and one Cd(1) atom. In the second O site, O(2) is bonded in a 7-coordinate geometry to three equivalent K(1), three equivalent K(2), and one Cd(1) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_K6CdO4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.667
_cell_length_b   8.667
_cell_length_c   6.631
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   431.428
_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
  K  K0  1  0.536  0.073  0.140  1.0
  K  K1  1  0.464  0.536  0.640  1.0
  K  K2  1  0.927  0.464  0.140  1.0
  K  K3  1  0.536  0.464  0.140  1.0
  K  K4  1  0.144  0.856  0.972  1.0
  K  K5  1  0.288  0.144  0.472  1.0
  K  K6  1  0.073  0.536  0.640  1.0
  K  K7  1  0.856  0.712  0.472  1.0
  K  K8  1  0.856  0.144  0.472  1.0
  K  K9  1  0.712  0.856  0.972  1.0
  K  K10  1  0.144  0.288  0.972  1.0
  K  K11  1  0.464  0.927  0.640  1.0
  Cd  Cd12  1  0.667  0.333  0.751  1.0
  Cd  Cd13  1  0.333  0.667  0.251  1.0
  O  O14  1  0.192  0.808  0.362  1.0
  O  O15  1  0.383  0.192  0.862  1.0
  O  O16  1  0.808  0.617  0.862  1.0
  O  O17  1  0.192  0.383  0.362  1.0
  O  O18  1  0.617  0.808  0.362  1.0
  O  O19  1  0.808  0.192  0.862  1.0
  O  O20  1  0.667  0.333  0.417  1.0
  O  O21  1  0.333  0.667  0.917  1.0
[/CIF]
.