The crystal structure described by KNa(BiO3)2 crystallizes in the orthorhombic Cmmm space group. K(1) is bonded in a 8-coordinate geometry to four equivalent O(1) and four equivalent O(2) atoms. Na(1) is bonded in a distorted body-centered cubic geometry to four equivalent O(1) and four equivalent O(3) atoms. Bi(1) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(3) atoms to form corner-sharing BiO6 octahedra. The corner-sharing octahedral tilt angles range from 0-32°. There are three inequivalent O sites. In the first O site, O(1) is bonded to two equivalent K(1), two equivalent Na(1), and two equivalent Bi(1) atoms to form distorted OK2Na2Bi2 octahedra that share corners with six equivalent O(1)K2Na2Bi2 octahedra, corners with four equivalent O(2)K2Bi2 tetrahedra, corners with four equivalent O(3)Na2Bi2 tetrahedra, edges with four equivalent O(1)K2Na2Bi2 octahedra, edges with four equivalent O(2)K2Bi2 tetrahedra, and edges with four equivalent O(3)Na2Bi2 tetrahedra. The corner-sharing octahedra are not tilted. In the second O site, O(2) is bonded to two equivalent K(1) and two equivalent Bi(1) atoms to form distorted OK2Bi2 tetrahedra that share corners with four equivalent O(1)K2Na2Bi2 octahedra, corners with four equivalent O(3)Na2Bi2 tetrahedra, corners with six equivalent O(2)K2Bi2 tetrahedra, edges with four equivalent O(1)K2Na2Bi2 octahedra, and  an edgeedge with one O(2)K2Bi2 tetrahedra. The corner-sharing octahedral tilt angles are 65°. In the third O site, O(3) is bonded to two equivalent Na(1) and two equivalent Bi(1) atoms to form distorted ONa2Bi2 tetrahedra that share corners with four equivalent O(1)K2Na2Bi2 octahedra, corners with four equivalent O(2)K2Bi2 tetrahedra, corners with six equivalent O(3)Na2Bi2 tetrahedra, edges with four equivalent O(1)K2Na2Bi2 octahedra, and  an edgeedge with one O(3)Na2Bi2 tetrahedra. The corner-sharing octahedral tilt angles are 66°. is represented by the CIF file [CIF]
data_KNa(BiO3)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.289
_cell_length_b   5.882
_cell_length_c   5.882
_cell_angle_alpha   90.500
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   148.377
_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  0.500  0.500  0.500  1.0
  Na  Na1  1  0.500  0.000  0.000  1.0
  Bi  Bi2  1  0.000  0.000  0.500  1.0
  Bi  Bi3  1  0.000  0.500  0.000  1.0
  O  O4  1  0.500  0.000  0.500  1.0
  O  O5  1  0.500  0.500  0.000  1.0
  O  O6  1  0.000  0.314  0.686  1.0
  O  O7  1  0.000  0.686  0.314  1.0
  O  O8  1  0.000  0.822  0.822  1.0
  O  O9  1  0.000  0.178  0.178  1.0
[/CIF]
.
The crystal structure described by KNa(BiO3)2 crystallizes in the orthorhombic Cmmm space group. K(1) is bonded in a 8-coordinate geometry to four equivalent O(1) and four equivalent O(2) atoms. Na(1) is bonded in a distorted body-centered cubic geometry to four equivalent O(1) and four equivalent O(3) atoms. Bi(1) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(3) atoms to form corner-sharing BiO6 octahedra. The corner-sharing octahedral tilt angles range from 0-32°. There are three inequivalent O sites. In the first O site, O(1) is bonded to two equivalent K(1), two equivalent Na(1), and two equivalent Bi(1) atoms to form distorted OK2Na2Bi2 octahedra that share corners with six equivalent O(1)K2Na2Bi2 octahedra, corners with four equivalent O(2)K2Bi2 tetrahedra, corners with four equivalent O(3)Na2Bi2 tetrahedra, edges with four equivalent O(1)K2Na2Bi2 octahedra, edges with four equivalent O(2)K2Bi2 tetrahedra, and edges with four equivalent O(3)Na2Bi2 tetrahedra. The corner-sharing octahedra are not tilted. In the second O site, O(2) is bonded to two equivalent K(1) and two equivalent Bi(1) atoms to form distorted OK2Bi2 tetrahedra that share corners with four equivalent O(1)K2Na2Bi2 octahedra, corners with four equivalent O(3)Na2Bi2 tetrahedra, corners with six equivalent O(2)K2Bi2 tetrahedra, edges with four equivalent O(1)K2Na2Bi2 octahedra, and  an edgeedge with one O(2)K2Bi2 tetrahedra. The corner-sharing octahedral tilt angles are 65°. In the third O site, O(3) is bonded to two equivalent Na(1) and two equivalent Bi(1) atoms to form distorted ONa2Bi2 tetrahedra that share corners with four equivalent O(1)K2Na2Bi2 octahedra, corners with four equivalent O(2)K2Bi2 tetrahedra, corners with six equivalent O(3)Na2Bi2 tetrahedra, edges with four equivalent O(1)K2Na2Bi2 octahedra, and  an edgeedge with one O(3)Na2Bi2 tetrahedra. The corner-sharing octahedral tilt angles are 66°. is represented by the CIF file [CIF]
data_KNa(BiO3)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.289
_cell_length_b   5.882
_cell_length_c   5.882
_cell_angle_alpha   90.500
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   148.377
_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  0.500  0.500  0.500  1.0
  Na  Na1  1  0.500  0.000  0.000  1.0
  Bi  Bi2  1  0.000  0.000  0.500  1.0
  Bi  Bi3  1  0.000  0.500  0.000  1.0
  O  O4  1  0.500  0.000  0.500  1.0
  O  O5  1  0.500  0.500  0.000  1.0
  O  O6  1  0.000  0.314  0.686  1.0
  O  O7  1  0.000  0.686  0.314  1.0
  O  O8  1  0.000  0.822  0.822  1.0
  O  O9  1  0.000  0.178  0.178  1.0
[/CIF]
.