The crystal structure described by K2Cr4CdO16 crystallizes in the triclinic P-1 space group. K(1) is bonded in a 9-coordinate geometry to one O(1), one O(3), one O(5), one O(7), one O(8), two equivalent O(4), and two equivalent O(6) atoms. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(1), one O(2), one O(3), and one O(4) atom to form CrO4 tetrahedra that share  a cornercorner with one Cd(1)O6 octahedra and  a cornercorner with one Cr(2)O4 tetrahedra. The corner-sharing octahedral tilt angles are 15°. In the second Cr site, Cr(2) is bonded to one O(1), one O(5), one O(6), and one O(7) atom to form CrO4 tetrahedra that share  a cornercorner with one Cd(1)O6 octahedra and  a cornercorner with one Cr(1)O4 tetrahedra. The corner-sharing octahedral tilt angles are 52°. Cd(1) is bonded to two equivalent O(2), two equivalent O(5), and two equivalent O(8) atoms to form CdO6 octahedra that share corners with two equivalent Cr(1)O4 tetrahedra and corners with two equivalent Cr(2)O4 tetrahedra. There are eight inequivalent O sites. In the first O site, O(1) is bonded in a distorted bent 120 degrees geometry to one K(1), one Cr(1), and one Cr(2) atom. In the second O site, O(2) is bonded in a distorted linear geometry to one Cr(1) and one Cd(1) atom. In the third O site, O(3) is bonded in a distorted single-bond geometry to one K(1) and one Cr(1) atom. In the fourth O site, O(4) is bonded in a distorted single-bond geometry to two equivalent K(1) and one Cr(1) atom. In the fifth O site, O(5) is bonded in a 3-coordinate geometry to one K(1), one Cr(2), and one Cd(1) atom. In the sixth O site, O(6) is bonded in a distorted single-bond geometry to two equivalent K(1) and one Cr(2) atom. In the seventh O site, O(7) is bonded in a distorted single-bond geometry to one K(1) and one Cr(2) atom. In the eighth O site, O(8) is bonded in a single-bond geometry to one K(1) and one Cd(1) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_K2Cr4CdO16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.903
_cell_length_b   7.621
_cell_length_c   8.066
_cell_angle_alpha   88.147
_cell_angle_beta   82.074
_cell_angle_gamma   68.135
_symmetry_Int_Tables_number   1
_cell_volume   389.930
_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
  K  K0  1  0.280  0.762  0.833  1.0
  K  K1  1  0.720  0.238  0.167  1.0
  Cr  Cr2  1  0.292  0.977  0.325  1.0
  Cr  Cr3  1  0.708  0.023  0.675  1.0
  Cr  Cr4  1  0.741  0.704  0.148  1.0
  Cr  Cr5  1  0.259  0.296  0.852  1.0
  Cd  Cd6  1  0.000  0.500  0.500  1.0
  O  O7  1  0.559  0.929  0.237  1.0
  O  O8  1  0.441  0.071  0.763  1.0
  O  O9  1  0.199  0.187  0.415  1.0
  O  O10  1  0.801  0.813  0.585  1.0
  O  O11  1  0.284  0.815  0.467  1.0
  O  O12  1  0.716  0.185  0.533  1.0
  O  O13  1  0.157  0.968  0.179  1.0
  O  O14  1  0.843  0.032  0.821  1.0
  O  O15  1  0.789  0.542  0.296  1.0
  O  O16  1  0.211  0.458  0.704  1.0
  O  O17  1  0.637  0.641  0.003  1.0
  O  O18  1  0.363  0.359  0.997  1.0
  O  O19  1  0.043  0.270  0.929  1.0
  O  O20  1  0.957  0.730  0.071  1.0
  O  O21  1  0.724  0.427  0.655  1.0
  O  O22  1  0.276  0.573  0.345  1.0
[/CIF]
.
The crystal structure described by K2Cr4CdO16 crystallizes in the triclinic P-1 space group. K(1) is bonded in a 9-coordinate geometry to one O(1), one O(3), one O(5), one O(7), one O(8), two equivalent O(4), and two equivalent O(6) atoms. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(1), one O(2), one O(3), and one O(4) atom to form CrO4 tetrahedra that share  a cornercorner with one Cd(1)O6 octahedra and  a cornercorner with one Cr(2)O4 tetrahedra. The corner-sharing octahedral tilt angles are 15°. In the second Cr site, Cr(2) is bonded to one O(1), one O(5), one O(6), and one O(7) atom to form CrO4 tetrahedra that share  a cornercorner with one Cd(1)O6 octahedra and  a cornercorner with one Cr(1)O4 tetrahedra. The corner-sharing octahedral tilt angles are 52°. Cd(1) is bonded to two equivalent O(2), two equivalent O(5), and two equivalent O(8) atoms to form CdO6 octahedra that share corners with two equivalent Cr(1)O4 tetrahedra and corners with two equivalent Cr(2)O4 tetrahedra. There are eight inequivalent O sites. In the first O site, O(1) is bonded in a distorted bent 120 degrees geometry to one K(1), one Cr(1), and one Cr(2) atom. In the second O site, O(2) is bonded in a distorted linear geometry to one Cr(1) and one Cd(1) atom. In the third O site, O(3) is bonded in a distorted single-bond geometry to one K(1) and one Cr(1) atom. In the fourth O site, O(4) is bonded in a distorted single-bond geometry to two equivalent K(1) and one Cr(1) atom. In the fifth O site, O(5) is bonded in a 3-coordinate geometry to one K(1), one Cr(2), and one Cd(1) atom. In the sixth O site, O(6) is bonded in a distorted single-bond geometry to two equivalent K(1) and one Cr(2) atom. In the seventh O site, O(7) is bonded in a distorted single-bond geometry to one K(1) and one Cr(2) atom. In the eighth O site, O(8) is bonded in a single-bond geometry to one K(1) and one Cd(1) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_K2Cr4CdO16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.903
_cell_length_b   7.621
_cell_length_c   8.066
_cell_angle_alpha   88.147
_cell_angle_beta   82.074
_cell_angle_gamma   68.135
_symmetry_Int_Tables_number   1
_cell_volume   389.930
_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
  K  K0  1  0.280  0.762  0.833  1.0
  K  K1  1  0.720  0.238  0.167  1.0
  Cr  Cr2  1  0.292  0.977  0.325  1.0
  Cr  Cr3  1  0.708  0.023  0.675  1.0
  Cr  Cr4  1  0.741  0.704  0.148  1.0
  Cr  Cr5  1  0.259  0.296  0.852  1.0
  Cd  Cd6  1  0.000  0.500  0.500  1.0
  O  O7  1  0.559  0.929  0.237  1.0
  O  O8  1  0.441  0.071  0.763  1.0
  O  O9  1  0.199  0.187  0.415  1.0
  O  O10  1  0.801  0.813  0.585  1.0
  O  O11  1  0.284  0.815  0.467  1.0
  O  O12  1  0.716  0.185  0.533  1.0
  O  O13  1  0.157  0.968  0.179  1.0
  O  O14  1  0.843  0.032  0.821  1.0
  O  O15  1  0.789  0.542  0.296  1.0
  O  O16  1  0.211  0.458  0.704  1.0
  O  O17  1  0.637  0.641  0.003  1.0
  O  O18  1  0.363  0.359  0.997  1.0
  O  O19  1  0.043  0.270  0.929  1.0
  O  O20  1  0.957  0.730  0.071  1.0
  O  O21  1  0.724  0.427  0.655  1.0
  O  O22  1  0.276  0.573  0.345  1.0
[/CIF]
.