The compound described by Al(Bi3O5)4 crystallizes in the cubic I23 space group. Al(1) is bonded to four equivalent O(1) atoms to form AlO4 tetrahedra that share corners with twelve equivalent Bi(1)O5 square pyramids. Bi(1) is bonded to one O(1), one O(3), and three equivalent O(2) atoms to form distorted BiO5 square pyramids that share corners with eight equivalent Bi(1)O5 square pyramids,  a cornercorner with one Al(1)O4 tetrahedra, and  an edgeedge with one Bi(1)O5 square pyramid. There are three inequivalent O sites. In the first O site, O(3) is bonded in a trigonal planar geometry to three equivalent Bi(1) atoms. In the second O site, O(1) is bonded to one Al(1) and three equivalent Bi(1) atoms to form distorted corner-sharing OAlBi3 tetrahedra. In the third O site, O(2) is bonded in a distorted trigonal non-coplanar geometry to three equivalent Bi(1) atoms. is represented by the CIF card [CIF]
data_Al(Bi3O5)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.828
_cell_length_b   8.828
_cell_length_c   8.828
_cell_angle_alpha   109.471
_cell_angle_beta   109.471
_cell_angle_gamma   109.471
_symmetry_Int_Tables_number   1
_cell_volume   529.640
_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
  Al  Al0  1  0.000  0.000  0.000  1.0
  Bi  Bi1  1  0.813  0.673  0.508  1.0
  Bi  Bi2  1  0.187  0.695  0.860  1.0
  Bi  Bi3  1  0.835  0.327  0.140  1.0
  Bi  Bi4  1  0.673  0.508  0.813  1.0
  Bi  Bi5  1  0.165  0.305  0.492  1.0
  Bi  Bi6  1  0.695  0.860  0.187  1.0
  Bi  Bi7  1  0.327  0.140  0.835  1.0
  Bi  Bi8  1  0.305  0.492  0.165  1.0
  Bi  Bi9  1  0.508  0.813  0.673  1.0
  Bi  Bi10  1  0.140  0.835  0.327  1.0
  Bi  Bi11  1  0.492  0.165  0.305  1.0
  Bi  Bi12  1  0.860  0.187  0.695  1.0
  O  O13  1  0.204  0.204  0.204  1.0
  O  O14  1  0.796  0.000  0.000  1.0
  O  O15  1  0.000  0.796  0.000  1.0
  O  O16  1  0.000  0.000  0.796  1.0
  O  O17  1  0.645  0.769  0.387  1.0
  O  O18  1  0.355  0.742  0.124  1.0
  O  O19  1  0.618  0.231  0.876  1.0
  O  O20  1  0.769  0.387  0.645  1.0
  O  O21  1  0.382  0.258  0.613  1.0
  O  O22  1  0.742  0.124  0.355  1.0
  O  O23  1  0.231  0.876  0.618  1.0
  O  O24  1  0.258  0.613  0.382  1.0
  O  O25  1  0.387  0.645  0.769  1.0
  O  O26  1  0.876  0.618  0.231  1.0
  O  O27  1  0.613  0.382  0.258  1.0
  O  O28  1  0.124  0.355  0.742  1.0
  O  O29  1  0.612  0.612  0.612  1.0
  O  O30  1  0.388  0.000  0.000  1.0
  O  O31  1  0.000  0.388  0.000  1.0
  O  O32  1  0.000  0.000  0.388  1.0
[/CIF]
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The compound described by Al(Bi3O5)4 crystallizes in the cubic I23 space group. Al(1) is bonded to four equivalent O(1) atoms to form AlO4 tetrahedra that share corners with twelve equivalent Bi(1)O5 square pyramids. Bi(1) is bonded to one O(1), one O(3), and three equivalent O(2) atoms to form distorted BiO5 square pyramids that share corners with eight equivalent Bi(1)O5 square pyramids,  a cornercorner with one Al(1)O4 tetrahedra, and  an edgeedge with one Bi(1)O5 square pyramid. There are three inequivalent O sites. In the first O site, O(3) is bonded in a trigonal planar geometry to three equivalent Bi(1) atoms. In the second O site, O(1) is bonded to one Al(1) and three equivalent Bi(1) atoms to form distorted corner-sharing OAlBi3 tetrahedra. In the third O site, O(2) is bonded in a distorted trigonal non-coplanar geometry to three equivalent Bi(1) atoms. is represented by the CIF card [CIF]
data_Al(Bi3O5)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.828
_cell_length_b   8.828
_cell_length_c   8.828
_cell_angle_alpha   109.471
_cell_angle_beta   109.471
_cell_angle_gamma   109.471
_symmetry_Int_Tables_number   1
_cell_volume   529.640
_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
  Al  Al0  1  0.000  0.000  0.000  1.0
  Bi  Bi1  1  0.813  0.673  0.508  1.0
  Bi  Bi2  1  0.187  0.695  0.860  1.0
  Bi  Bi3  1  0.835  0.327  0.140  1.0
  Bi  Bi4  1  0.673  0.508  0.813  1.0
  Bi  Bi5  1  0.165  0.305  0.492  1.0
  Bi  Bi6  1  0.695  0.860  0.187  1.0
  Bi  Bi7  1  0.327  0.140  0.835  1.0
  Bi  Bi8  1  0.305  0.492  0.165  1.0
  Bi  Bi9  1  0.508  0.813  0.673  1.0
  Bi  Bi10  1  0.140  0.835  0.327  1.0
  Bi  Bi11  1  0.492  0.165  0.305  1.0
  Bi  Bi12  1  0.860  0.187  0.695  1.0
  O  O13  1  0.204  0.204  0.204  1.0
  O  O14  1  0.796  0.000  0.000  1.0
  O  O15  1  0.000  0.796  0.000  1.0
  O  O16  1  0.000  0.000  0.796  1.0
  O  O17  1  0.645  0.769  0.387  1.0
  O  O18  1  0.355  0.742  0.124  1.0
  O  O19  1  0.618  0.231  0.876  1.0
  O  O20  1  0.769  0.387  0.645  1.0
  O  O21  1  0.382  0.258  0.613  1.0
  O  O22  1  0.742  0.124  0.355  1.0
  O  O23  1  0.231  0.876  0.618  1.0
  O  O24  1  0.258  0.613  0.382  1.0
  O  O25  1  0.387  0.645  0.769  1.0
  O  O26  1  0.876  0.618  0.231  1.0
  O  O27  1  0.613  0.382  0.258  1.0
  O  O28  1  0.124  0.355  0.742  1.0
  O  O29  1  0.612  0.612  0.612  1.0
  O  O30  1  0.388  0.000  0.000  1.0
  O  O31  1  0.000  0.388  0.000  1.0
  O  O32  1  0.000  0.000  0.388  1.0
[/CIF]
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