The structure described by Ba4Bi(PbO4)3 is (Cubic) Perovskite-derived structured and crystallizes in the tetragonal P4/mmm space group. There are two inequivalent Ba sites. In the first Ba site, Ba(1) is bonded to four equivalent O(1), four equivalent O(3), and four equivalent O(4) atoms to form BaO12 cuboctahedra that share corners with four equivalent Ba(2)O12 cuboctahedra, corners with eight equivalent Ba(1)O12 cuboctahedra,  a faceface with one Ba(2)O12 cuboctahedra, faces with five equivalent Ba(1)O12 cuboctahedra, faces with four equivalent Pb(1)O6 octahedra, and faces with four equivalent Bi(1)O6 octahedra. In the second Ba site, Ba(2) is bonded to four equivalent O(1), four equivalent O(2), and four equivalent O(5) atoms to form BaO12 cuboctahedra that share corners with four equivalent Ba(1)O12 cuboctahedra, corners with eight equivalent Ba(2)O12 cuboctahedra,  a faceface with one Ba(1)O12 cuboctahedra, faces with five equivalent Ba(2)O12 cuboctahedra, faces with four equivalent Pb(1)O6 octahedra, and faces with four equivalent Pb(2)O6 octahedra. There are two inequivalent Pb sites. In the first Pb site, Pb(1) is bonded to one O(4), one O(5), and four equivalent O(1) atoms to form PbO6 octahedra that share  a cornercorner with one Pb(2)O6 octahedra,  a cornercorner with one Bi(1)O6 octahedra, corners with four equivalent Pb(1)O6 octahedra, faces with four equivalent Ba(1)O12 cuboctahedra, and faces with four equivalent Ba(2)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-4°. In the second Pb site, Pb(2) is bonded to two equivalent O(5) and four equivalent O(2) atoms to form PbO6 octahedra that share corners with two equivalent Pb(1)O6 octahedra, corners with four equivalent Pb(2)O6 octahedra, and faces with eight equivalent Ba(2)O12 cuboctahedra. The corner-sharing octahedra are not tilted. Bi(1) is bonded to two equivalent O(4) and four equivalent O(3) atoms to form BiO6 octahedra that share corners with two equivalent Pb(1)O6 octahedra, corners with four equivalent Bi(1)O6 octahedra, and faces with eight equivalent Ba(1)O12 cuboctahedra. The corner-sharing octahedra are not tilted. There are five inequivalent O sites. In the first O site, O(1) is bonded to two equivalent Ba(1), two equivalent Ba(2), and two equivalent Pb(1) atoms to form distorted OBa4Pb2 octahedra that share corners with two equivalent O(1)Ba4Pb2 octahedra, corners with four equivalent O(4)Ba4BiPb octahedra, corners with four equivalent O(5)Ba4Pb2 octahedra, corners with six equivalent O(2)Ba4Pb2 octahedra,  an edgeedge with one O(2)Ba4Pb2 octahedra, edges with two equivalent O(1)Ba4Pb2 octahedra, faces with two equivalent O(4)Ba4BiPb octahedra, faces with two equivalent O(5)Ba4Pb2 octahedra, and faces with four equivalent O(1)Ba4Pb2 octahedra. The corner-sharing octahedral tilt angles range from 1-61°. In the second O site, O(2) is bonded to four equivalent Ba(2) and two equivalent Pb(2) atoms to form a mixture of distorted face, corner, and edge-sharing OBa4Pb2 octahedra. The corner-sharing octahedral tilt angles range from 0-59°. In the third O site, O(3) is bonded in a distorted linear geometry to four equivalent Ba(1) and two equivalent Bi(1) atoms. In the fourth O site, O(4) is bonded to four equivalent Ba(1), one Pb(1), and one Bi(1) atom to form distorted OBa4BiPb octahedra that share  a cornercorner with one O(5)Ba4Pb2 octahedra, corners with five equivalent O(4)Ba4BiPb octahedra, corners with eight equivalent O(1)Ba4Pb2 octahedra, edges with four equivalent O(4)Ba4BiPb octahedra, and faces with four equivalent O(1)Ba4Pb2 octahedra. The corner-sharing octahedral tilt angles range from 0-57°. In the fifth O site, O(5) is bonded to four equivalent Ba(2), one Pb(1), and one Pb(2) atom to form distorted OBa4Pb2 octahedra that share  a cornercorner with one O(4)Ba4BiPb octahedra, corners with five equivalent O(5)Ba4Pb2 octahedra, corners with eight equivalent O(1)Ba4Pb2 octahedra, corners with eight equivalent O(2)Ba4Pb2 octahedra, edges with four equivalent O(5)Ba4Pb2 octahedra, faces with four equivalent O(1)Ba4Pb2 octahedra, and faces with four equivalent O(2)Ba4Pb2 octahedra. The corner-sharing octahedral tilt angles range from 0-61°. is represented by the CIF file [CIF]
data_Ba4Bi(PbO4)3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.369
_cell_length_b   4.369
_cell_length_c   17.542
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   334.790
_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
  Ba  Ba0  1  0.500  0.500  0.869  1.0
  Ba  Ba1  1  0.500  0.500  0.623  1.0
  Ba  Ba2  1  0.500  0.500  0.377  1.0
  Ba  Ba3  1  0.500  0.500  0.131  1.0
  Bi  Bi4  1  0.000  0.000  0.000  1.0
  Pb  Pb5  1  0.000  0.000  0.749  1.0
  Pb  Pb6  1  0.000  0.000  0.500  1.0
  Pb  Pb7  1  0.000  0.000  0.251  1.0
  O  O8  1  0.000  0.500  0.753  1.0
  O  O9  1  0.000  0.500  0.500  1.0
  O  O10  1  0.000  0.500  0.247  1.0
  O  O11  1  0.000  0.500  0.000  1.0
  O  O12  1  0.500  0.000  0.753  1.0
  O  O13  1  0.500  0.000  0.500  1.0
  O  O14  1  0.500  0.000  0.247  1.0
  O  O15  1  0.500  0.000  0.000  1.0
  O  O16  1  0.000  0.000  0.876  1.0
  O  O17  1  0.000  0.000  0.625  1.0
  O  O18  1  0.000  0.000  0.375  1.0
  O  O19  1  0.000  0.000  0.124  1.0
[/CIF]
.
The structure described by Ba4Bi(PbO4)3 is (Cubic) Perovskite-derived structured and crystallizes in the tetragonal P4/mmm space group. There are two inequivalent Ba sites. In the first Ba site, Ba(1) is bonded to four equivalent O(1), four equivalent O(3), and four equivalent O(4) atoms to form BaO12 cuboctahedra that share corners with four equivalent Ba(2)O12 cuboctahedra, corners with eight equivalent Ba(1)O12 cuboctahedra,  a faceface with one Ba(2)O12 cuboctahedra, faces with five equivalent Ba(1)O12 cuboctahedra, faces with four equivalent Pb(1)O6 octahedra, and faces with four equivalent Bi(1)O6 octahedra. In the second Ba site, Ba(2) is bonded to four equivalent O(1), four equivalent O(2), and four equivalent O(5) atoms to form BaO12 cuboctahedra that share corners with four equivalent Ba(1)O12 cuboctahedra, corners with eight equivalent Ba(2)O12 cuboctahedra,  a faceface with one Ba(1)O12 cuboctahedra, faces with five equivalent Ba(2)O12 cuboctahedra, faces with four equivalent Pb(1)O6 octahedra, and faces with four equivalent Pb(2)O6 octahedra. There are two inequivalent Pb sites. In the first Pb site, Pb(1) is bonded to one O(4), one O(5), and four equivalent O(1) atoms to form PbO6 octahedra that share  a cornercorner with one Pb(2)O6 octahedra,  a cornercorner with one Bi(1)O6 octahedra, corners with four equivalent Pb(1)O6 octahedra, faces with four equivalent Ba(1)O12 cuboctahedra, and faces with four equivalent Ba(2)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-4°. In the second Pb site, Pb(2) is bonded to two equivalent O(5) and four equivalent O(2) atoms to form PbO6 octahedra that share corners with two equivalent Pb(1)O6 octahedra, corners with four equivalent Pb(2)O6 octahedra, and faces with eight equivalent Ba(2)O12 cuboctahedra. The corner-sharing octahedra are not tilted. Bi(1) is bonded to two equivalent O(4) and four equivalent O(3) atoms to form BiO6 octahedra that share corners with two equivalent Pb(1)O6 octahedra, corners with four equivalent Bi(1)O6 octahedra, and faces with eight equivalent Ba(1)O12 cuboctahedra. The corner-sharing octahedra are not tilted. There are five inequivalent O sites. In the first O site, O(1) is bonded to two equivalent Ba(1), two equivalent Ba(2), and two equivalent Pb(1) atoms to form distorted OBa4Pb2 octahedra that share corners with two equivalent O(1)Ba4Pb2 octahedra, corners with four equivalent O(4)Ba4BiPb octahedra, corners with four equivalent O(5)Ba4Pb2 octahedra, corners with six equivalent O(2)Ba4Pb2 octahedra,  an edgeedge with one O(2)Ba4Pb2 octahedra, edges with two equivalent O(1)Ba4Pb2 octahedra, faces with two equivalent O(4)Ba4BiPb octahedra, faces with two equivalent O(5)Ba4Pb2 octahedra, and faces with four equivalent O(1)Ba4Pb2 octahedra. The corner-sharing octahedral tilt angles range from 1-61°. In the second O site, O(2) is bonded to four equivalent Ba(2) and two equivalent Pb(2) atoms to form a mixture of distorted face, corner, and edge-sharing OBa4Pb2 octahedra. The corner-sharing octahedral tilt angles range from 0-59°. In the third O site, O(3) is bonded in a distorted linear geometry to four equivalent Ba(1) and two equivalent Bi(1) atoms. In the fourth O site, O(4) is bonded to four equivalent Ba(1), one Pb(1), and one Bi(1) atom to form distorted OBa4BiPb octahedra that share  a cornercorner with one O(5)Ba4Pb2 octahedra, corners with five equivalent O(4)Ba4BiPb octahedra, corners with eight equivalent O(1)Ba4Pb2 octahedra, edges with four equivalent O(4)Ba4BiPb octahedra, and faces with four equivalent O(1)Ba4Pb2 octahedra. The corner-sharing octahedral tilt angles range from 0-57°. In the fifth O site, O(5) is bonded to four equivalent Ba(2), one Pb(1), and one Pb(2) atom to form distorted OBa4Pb2 octahedra that share  a cornercorner with one O(4)Ba4BiPb octahedra, corners with five equivalent O(5)Ba4Pb2 octahedra, corners with eight equivalent O(1)Ba4Pb2 octahedra, corners with eight equivalent O(2)Ba4Pb2 octahedra, edges with four equivalent O(5)Ba4Pb2 octahedra, faces with four equivalent O(1)Ba4Pb2 octahedra, and faces with four equivalent O(2)Ba4Pb2 octahedra. The corner-sharing octahedral tilt angles range from 0-61°. is represented by the CIF file [CIF]
data_Ba4Bi(PbO4)3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.369
_cell_length_b   4.369
_cell_length_c   17.542
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   334.790
_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
  Ba  Ba0  1  0.500  0.500  0.869  1.0
  Ba  Ba1  1  0.500  0.500  0.623  1.0
  Ba  Ba2  1  0.500  0.500  0.377  1.0
  Ba  Ba3  1  0.500  0.500  0.131  1.0
  Bi  Bi4  1  0.000  0.000  0.000  1.0
  Pb  Pb5  1  0.000  0.000  0.749  1.0
  Pb  Pb6  1  0.000  0.000  0.500  1.0
  Pb  Pb7  1  0.000  0.000  0.251  1.0
  O  O8  1  0.000  0.500  0.753  1.0
  O  O9  1  0.000  0.500  0.500  1.0
  O  O10  1  0.000  0.500  0.247  1.0
  O  O11  1  0.000  0.500  0.000  1.0
  O  O12  1  0.500  0.000  0.753  1.0
  O  O13  1  0.500  0.000  0.500  1.0
  O  O14  1  0.500  0.000  0.247  1.0
  O  O15  1  0.500  0.000  0.000  1.0
  O  O16  1  0.000  0.000  0.876  1.0
  O  O17  1  0.000  0.000  0.625  1.0
  O  O18  1  0.000  0.000  0.375  1.0
  O  O19  1  0.000  0.000  0.124  1.0
[/CIF]
.