The compound described by K7(Bi3O8)3 is (Cubic) Perovskite-like structured and crystallizes in the monoclinic C2/m space group. There are four inequivalent K sites. In the first K site, K(1) is bonded to two equivalent O(2), two equivalent O(3), four equivalent O(4), and four equivalent O(7) atoms to form KO12 cuboctahedra that share corners with two equivalent K(2)O12 cuboctahedra, corners with four equivalent K(4)O12 cuboctahedra, corners with six equivalent K(3)O12 cuboctahedra, faces with two equivalent K(2)O12 cuboctahedra, faces with two equivalent K(4)O12 cuboctahedra, faces with two equivalent Bi(3)O12 cuboctahedra, faces with four equivalent Bi(1)O6 octahedra, and faces with four equivalent Bi(2)O6 octahedra. In the second K site, K(2) is bonded to one O(2), one O(9), two equivalent O(1), two equivalent O(3), two equivalent O(4), two equivalent O(5), and two equivalent O(6) atoms to form KO12 cuboctahedra that share  a cornercorner with one K(1)O12 cuboctahedra, corners with two equivalent K(2)O12 cuboctahedra, corners with two equivalent K(3)O12 cuboctahedra, corners with three equivalent Bi(3)O12 cuboctahedra, corners with four equivalent K(4)O12 cuboctahedra,  a faceface with one K(1)O12 cuboctahedra,  a faceface with one K(2)O12 cuboctahedra,  a faceface with one K(4)O12 cuboctahedra, faces with three equivalent K(3)O12 cuboctahedra, faces with four equivalent Bi(1)O6 octahedra, and faces with four equivalent Bi(2)O6 octahedra. In the third K site, K(3) is bonded to one O(2), one O(9), two equivalent O(1), two equivalent O(4), two equivalent O(5), two equivalent O(6), and two equivalent O(8) atoms to form KO12 cuboctahedra that share  a cornercorner with one Bi(3)O12 cuboctahedra, corners with two equivalent K(2)O12 cuboctahedra, corners with two equivalent K(3)O12 cuboctahedra, corners with three equivalent K(1)O12 cuboctahedra, corners with four equivalent K(4)O12 cuboctahedra,  a faceface with one K(3)O12 cuboctahedra,  a faceface with one K(4)O12 cuboctahedra,  a faceface with one Bi(3)O12 cuboctahedra, faces with three equivalent K(2)O12 cuboctahedra, faces with four equivalent Bi(1)O6 octahedra, and faces with four equivalent Bi(2)O6 octahedra. In the fourth K site, K(4) is bonded to one O(2), one O(3), one O(8), one O(9), four equivalent O(1), and four equivalent O(7) atoms to form KO12 cuboctahedra that share corners with two equivalent K(1)O12 cuboctahedra, corners with two equivalent Bi(3)O12 cuboctahedra, corners with four equivalent K(2)O12 cuboctahedra, corners with four equivalent K(3)O12 cuboctahedra,  a faceface with one K(1)O12 cuboctahedra,  a faceface with one K(2)O12 cuboctahedra,  a faceface with one K(3)O12 cuboctahedra,  a faceface with one Bi(3)O12 cuboctahedra, faces with two equivalent K(4)O12 cuboctahedra, faces with four equivalent Bi(1)O6 octahedra, and faces with four equivalent Bi(2)O6 octahedra. There are three inequivalent Bi sites. In the first Bi site, Bi(1) is bonded to one O(1), one O(2), one O(4), one O(6), one O(7), and one O(9) atom to form BiO6 octahedra that share corners with three equivalent Bi(1)O6 octahedra, corners with three equivalent Bi(2)O6 octahedra,  a faceface with one K(1)O12 cuboctahedra,  a faceface with one Bi(3)O12 cuboctahedra, faces with two equivalent K(2)O12 cuboctahedra, faces with two equivalent K(3)O12 cuboctahedra, and faces with two equivalent K(4)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-14°. In the second Bi site, Bi(2) is bonded to one O(1), one O(3), one O(4), one O(5), one O(7), and one O(8) atom to form BiO6 octahedra that share corners with three equivalent Bi(1)O6 octahedra, corners with three equivalent Bi(2)O6 octahedra,  a faceface with one K(1)O12 cuboctahedra,  a faceface with one Bi(3)O12 cuboctahedra, faces with two equivalent K(2)O12 cuboctahedra, faces with two equivalent K(3)O12 cuboctahedra, and faces with two equivalent K(4)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 3-14°. In the third Bi site, Bi(3) is bonded to two equivalent O(8), two equivalent O(9), four equivalent O(4), and four equivalent O(7) atoms to form BiO12 cuboctahedra that share corners with two equivalent K(3)O12 cuboctahedra, corners with four equivalent K(4)O12 cuboctahedra, corners with six equivalent K(2)O12 cuboctahedra, faces with two equivalent K(1)O12 cuboctahedra, faces with two equivalent K(3)O12 cuboctahedra, faces with two equivalent K(4)O12 cuboctahedra, faces with four equivalent Bi(1)O6 octahedra, and faces with four equivalent Bi(2)O6 octahedra. There are nine inequivalent O sites. In the first O site, O(1) is bonded to one K(2), one K(3), two equivalent K(4), one Bi(1), and one Bi(2) atom to form a mixture of distorted face, corner, and edge-sharing OK4Bi2 octahedra. The corner-sharing octahedral tilt angles range from 1-62°. In the second O site, O(2) is bonded to one K(1), one K(2), one K(3), one K(4), and two equivalent Bi(1) atoms to form a mixture of distorted face, corner, and edge-sharing OK4Bi2 octahedra. The corner-sharing octahedral tilt angles range from 0-62°. In the third O site, O(3) is bonded to one K(1), one K(4), two equivalent K(2), and two equivalent Bi(2) atoms to form a mixture of distorted face, corner, and edge-sharing OK4Bi2 octahedra. The corner-sharing octahedral tilt angles range from 0-62°. In the fourth O site, O(4) is bonded in a 2-coordinate geometry to one K(1), one K(2), one K(3), one Bi(1), one Bi(2), and one Bi(3) atom. In the fifth O site, O(5) is bonded to two equivalent K(2), two equivalent K(3), and two equivalent Bi(2) atoms to form a mixture of distorted face, corner, and edge-sharing OK4Bi2 octahedra. The corner-sharing octahedral tilt angles range from 1-62°. In the sixth O site, O(6) is bonded to two equivalent K(2), two equivalent K(3), and two equivalent Bi(1) atoms to form a mixture of distorted face, corner, and edge-sharing OK4Bi2 octahedra. The corner-sharing octahedral tilt angles range from 1-61°. In the seventh O site, O(7) is bonded in a 2-coordinate geometry to one K(1), two equivalent K(4), one Bi(1), one Bi(2), and one Bi(3) atom. In the eighth O site, O(8) is bonded in a 2-coordinate geometry to one K(4), two equivalent K(3), one Bi(3), and two equivalent Bi(2) atoms. In the ninth O site, O(9) is bonded in a 2-coordinate geometry to one K(2), one K(3), one K(4), one Bi(3), and two equivalent Bi(1) atoms. is represented by the Crystallographic Information File (CIF) [CIF]
data_K7(Bi3O8)3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   9.578
_cell_length_b   9.578
_cell_length_c   9.578
_cell_angle_alpha   66.427
_cell_angle_beta   66.427
_cell_angle_gamma   53.116
_symmetry_Int_Tables_number   1
_cell_volume   628.625
_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
  K  K1  1  0.375  0.375  0.001  1.0
  K  K2  1  0.875  0.875  0.998  1.0
  K  K3  1  0.125  0.125  0.002  1.0
  K  K4  1  0.248  0.248  0.500  1.0
  K  K5  1  0.752  0.752  0.500  1.0
  K  K6  1  0.625  0.625  0.999  1.0
  Bi  Bi7  1  0.560  0.063  0.751  1.0
  Bi  Bi8  1  0.188  0.686  0.249  1.0
  Bi  Bi9  1  0.063  0.560  0.751  1.0
  Bi  Bi10  1  0.314  0.812  0.751  1.0
  Bi  Bi11  1  0.440  0.937  0.249  1.0
  Bi  Bi12  1  0.000  0.000  0.500  1.0
  Bi  Bi13  1  0.686  0.188  0.249  1.0
  Bi  Bi14  1  0.937  0.440  0.249  1.0
  Bi  Bi15  1  0.812  0.314  0.751  1.0
  O  O16  1  0.560  0.062  0.257  1.0
  O  O17  1  0.318  0.318  0.744  1.0
  O  O18  1  0.560  0.560  0.745  1.0
  O  O19  1  0.440  0.440  0.255  1.0
  O  O20  1  0.062  0.560  0.257  1.0
  O  O21  1  0.287  0.828  0.269  1.0
  O  O22  1  0.440  0.938  0.743  1.0
  O  O23  1  0.245  0.755  0.000  1.0
  O  O24  1  0.172  0.713  0.731  1.0
  O  O25  1  0.500  0.000  0.000  1.0
  O  O26  1  0.344  0.886  0.500  1.0
  O  O27  1  0.114  0.656  0.500  1.0
  O  O28  1  0.942  0.942  0.270  1.0
  O  O29  1  0.058  0.058  0.730  1.0
  O  O30  1  0.173  0.173  0.269  1.0
  O  O31  1  0.827  0.827  0.731  1.0
  O  O32  1  0.886  0.344  0.500  1.0
  O  O33  1  0.713  0.172  0.731  1.0
  O  O34  1  0.656  0.114  0.500  1.0
  O  O35  1  0.755  0.245  0.000  1.0
  O  O36  1  0.828  0.287  0.269  1.0
  O  O37  1  0.938  0.440  0.743  1.0
  O  O38  1  0.000  0.500  0.000  1.0
  O  O39  1  0.682  0.682  0.256  1.0
[/CIF]
.
The compound described by K7(Bi3O8)3 is (Cubic) Perovskite-like structured and crystallizes in the monoclinic C2/m space group. There are four inequivalent K sites. In the first K site, K(1) is bonded to two equivalent O(2), two equivalent O(3), four equivalent O(4), and four equivalent O(7) atoms to form KO12 cuboctahedra that share corners with two equivalent K(2)O12 cuboctahedra, corners with four equivalent K(4)O12 cuboctahedra, corners with six equivalent K(3)O12 cuboctahedra, faces with two equivalent K(2)O12 cuboctahedra, faces with two equivalent K(4)O12 cuboctahedra, faces with two equivalent Bi(3)O12 cuboctahedra, faces with four equivalent Bi(1)O6 octahedra, and faces with four equivalent Bi(2)O6 octahedra. In the second K site, K(2) is bonded to one O(2), one O(9), two equivalent O(1), two equivalent O(3), two equivalent O(4), two equivalent O(5), and two equivalent O(6) atoms to form KO12 cuboctahedra that share  a cornercorner with one K(1)O12 cuboctahedra, corners with two equivalent K(2)O12 cuboctahedra, corners with two equivalent K(3)O12 cuboctahedra, corners with three equivalent Bi(3)O12 cuboctahedra, corners with four equivalent K(4)O12 cuboctahedra,  a faceface with one K(1)O12 cuboctahedra,  a faceface with one K(2)O12 cuboctahedra,  a faceface with one K(4)O12 cuboctahedra, faces with three equivalent K(3)O12 cuboctahedra, faces with four equivalent Bi(1)O6 octahedra, and faces with four equivalent Bi(2)O6 octahedra. In the third K site, K(3) is bonded to one O(2), one O(9), two equivalent O(1), two equivalent O(4), two equivalent O(5), two equivalent O(6), and two equivalent O(8) atoms to form KO12 cuboctahedra that share  a cornercorner with one Bi(3)O12 cuboctahedra, corners with two equivalent K(2)O12 cuboctahedra, corners with two equivalent K(3)O12 cuboctahedra, corners with three equivalent K(1)O12 cuboctahedra, corners with four equivalent K(4)O12 cuboctahedra,  a faceface with one K(3)O12 cuboctahedra,  a faceface with one K(4)O12 cuboctahedra,  a faceface with one Bi(3)O12 cuboctahedra, faces with three equivalent K(2)O12 cuboctahedra, faces with four equivalent Bi(1)O6 octahedra, and faces with four equivalent Bi(2)O6 octahedra. In the fourth K site, K(4) is bonded to one O(2), one O(3), one O(8), one O(9), four equivalent O(1), and four equivalent O(7) atoms to form KO12 cuboctahedra that share corners with two equivalent K(1)O12 cuboctahedra, corners with two equivalent Bi(3)O12 cuboctahedra, corners with four equivalent K(2)O12 cuboctahedra, corners with four equivalent K(3)O12 cuboctahedra,  a faceface with one K(1)O12 cuboctahedra,  a faceface with one K(2)O12 cuboctahedra,  a faceface with one K(3)O12 cuboctahedra,  a faceface with one Bi(3)O12 cuboctahedra, faces with two equivalent K(4)O12 cuboctahedra, faces with four equivalent Bi(1)O6 octahedra, and faces with four equivalent Bi(2)O6 octahedra. There are three inequivalent Bi sites. In the first Bi site, Bi(1) is bonded to one O(1), one O(2), one O(4), one O(6), one O(7), and one O(9) atom to form BiO6 octahedra that share corners with three equivalent Bi(1)O6 octahedra, corners with three equivalent Bi(2)O6 octahedra,  a faceface with one K(1)O12 cuboctahedra,  a faceface with one Bi(3)O12 cuboctahedra, faces with two equivalent K(2)O12 cuboctahedra, faces with two equivalent K(3)O12 cuboctahedra, and faces with two equivalent K(4)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-14°. In the second Bi site, Bi(2) is bonded to one O(1), one O(3), one O(4), one O(5), one O(7), and one O(8) atom to form BiO6 octahedra that share corners with three equivalent Bi(1)O6 octahedra, corners with three equivalent Bi(2)O6 octahedra,  a faceface with one K(1)O12 cuboctahedra,  a faceface with one Bi(3)O12 cuboctahedra, faces with two equivalent K(2)O12 cuboctahedra, faces with two equivalent K(3)O12 cuboctahedra, and faces with two equivalent K(4)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 3-14°. In the third Bi site, Bi(3) is bonded to two equivalent O(8), two equivalent O(9), four equivalent O(4), and four equivalent O(7) atoms to form BiO12 cuboctahedra that share corners with two equivalent K(3)O12 cuboctahedra, corners with four equivalent K(4)O12 cuboctahedra, corners with six equivalent K(2)O12 cuboctahedra, faces with two equivalent K(1)O12 cuboctahedra, faces with two equivalent K(3)O12 cuboctahedra, faces with two equivalent K(4)O12 cuboctahedra, faces with four equivalent Bi(1)O6 octahedra, and faces with four equivalent Bi(2)O6 octahedra. There are nine inequivalent O sites. In the first O site, O(1) is bonded to one K(2), one K(3), two equivalent K(4), one Bi(1), and one Bi(2) atom to form a mixture of distorted face, corner, and edge-sharing OK4Bi2 octahedra. The corner-sharing octahedral tilt angles range from 1-62°. In the second O site, O(2) is bonded to one K(1), one K(2), one K(3), one K(4), and two equivalent Bi(1) atoms to form a mixture of distorted face, corner, and edge-sharing OK4Bi2 octahedra. The corner-sharing octahedral tilt angles range from 0-62°. In the third O site, O(3) is bonded to one K(1), one K(4), two equivalent K(2), and two equivalent Bi(2) atoms to form a mixture of distorted face, corner, and edge-sharing OK4Bi2 octahedra. The corner-sharing octahedral tilt angles range from 0-62°. In the fourth O site, O(4) is bonded in a 2-coordinate geometry to one K(1), one K(2), one K(3), one Bi(1), one Bi(2), and one Bi(3) atom. In the fifth O site, O(5) is bonded to two equivalent K(2), two equivalent K(3), and two equivalent Bi(2) atoms to form a mixture of distorted face, corner, and edge-sharing OK4Bi2 octahedra. The corner-sharing octahedral tilt angles range from 1-62°. In the sixth O site, O(6) is bonded to two equivalent K(2), two equivalent K(3), and two equivalent Bi(1) atoms to form a mixture of distorted face, corner, and edge-sharing OK4Bi2 octahedra. The corner-sharing octahedral tilt angles range from 1-61°. In the seventh O site, O(7) is bonded in a 2-coordinate geometry to one K(1), two equivalent K(4), one Bi(1), one Bi(2), and one Bi(3) atom. In the eighth O site, O(8) is bonded in a 2-coordinate geometry to one K(4), two equivalent K(3), one Bi(3), and two equivalent Bi(2) atoms. In the ninth O site, O(9) is bonded in a 2-coordinate geometry to one K(2), one K(3), one K(4), one Bi(3), and two equivalent Bi(1) atoms. is represented by the Crystallographic Information File (CIF) [CIF]
data_K7(Bi3O8)3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   9.578
_cell_length_b   9.578
_cell_length_c   9.578
_cell_angle_alpha   66.427
_cell_angle_beta   66.427
_cell_angle_gamma   53.116
_symmetry_Int_Tables_number   1
_cell_volume   628.625
_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
  K  K1  1  0.375  0.375  0.001  1.0
  K  K2  1  0.875  0.875  0.998  1.0
  K  K3  1  0.125  0.125  0.002  1.0
  K  K4  1  0.248  0.248  0.500  1.0
  K  K5  1  0.752  0.752  0.500  1.0
  K  K6  1  0.625  0.625  0.999  1.0
  Bi  Bi7  1  0.560  0.063  0.751  1.0
  Bi  Bi8  1  0.188  0.686  0.249  1.0
  Bi  Bi9  1  0.063  0.560  0.751  1.0
  Bi  Bi10  1  0.314  0.812  0.751  1.0
  Bi  Bi11  1  0.440  0.937  0.249  1.0
  Bi  Bi12  1  0.000  0.000  0.500  1.0
  Bi  Bi13  1  0.686  0.188  0.249  1.0
  Bi  Bi14  1  0.937  0.440  0.249  1.0
  Bi  Bi15  1  0.812  0.314  0.751  1.0
  O  O16  1  0.560  0.062  0.257  1.0
  O  O17  1  0.318  0.318  0.744  1.0
  O  O18  1  0.560  0.560  0.745  1.0
  O  O19  1  0.440  0.440  0.255  1.0
  O  O20  1  0.062  0.560  0.257  1.0
  O  O21  1  0.287  0.828  0.269  1.0
  O  O22  1  0.440  0.938  0.743  1.0
  O  O23  1  0.245  0.755  0.000  1.0
  O  O24  1  0.172  0.713  0.731  1.0
  O  O25  1  0.500  0.000  0.000  1.0
  O  O26  1  0.344  0.886  0.500  1.0
  O  O27  1  0.114  0.656  0.500  1.0
  O  O28  1  0.942  0.942  0.270  1.0
  O  O29  1  0.058  0.058  0.730  1.0
  O  O30  1  0.173  0.173  0.269  1.0
  O  O31  1  0.827  0.827  0.731  1.0
  O  O32  1  0.886  0.344  0.500  1.0
  O  O33  1  0.713  0.172  0.731  1.0
  O  O34  1  0.656  0.114  0.500  1.0
  O  O35  1  0.755  0.245  0.000  1.0
  O  O36  1  0.828  0.287  0.269  1.0
  O  O37  1  0.938  0.440  0.743  1.0
  O  O38  1  0.000  0.500  0.000  1.0
  O  O39  1  0.682  0.682  0.256  1.0
[/CIF]
.