The structure described by MgAl(Bi3O5)4 crystallizes in the triclinic P1 space group. Mg(1) is bonded in a distorted rectangular see-saw-like geometry to one O(1), one O(20), one O(3), and one O(9) atom. Al(1) is bonded in a tetrahedral geometry to one O(1), one O(2), one O(3), and one O(4) atom. There are twelve inequivalent Bi sites. In the first Bi site, Bi(1) is bonded in a 5-coordinate geometry to one O(14), one O(15), one O(17), one O(4), and one O(5) atom. In the second Bi site, Bi(2) is bonded in a distorted rectangular see-saw-like geometry to one O(11), one O(13), one O(18), and one O(6) atom. In the third Bi site, Bi(3) is bonded in a 5-coordinate geometry to one O(14), one O(18), one O(19), one O(2), and one O(7) atom. In the fourth Bi site, Bi(4) is bonded in a distorted rectangular see-saw-like geometry to one O(17), one O(7), one O(8), and one O(9) atom. In the fifth Bi site, Bi(5) is bonded in a 4-coordinate geometry to one O(12), one O(13), one O(16), and one O(9) atom. In the sixth Bi site, Bi(6) is bonded in a 4-coordinate geometry to one O(10), one O(20), one O(5), and one O(6) atom. In the seventh Bi site, Bi(7) is bonded in a 6-coordinate geometry to one O(11), one O(16), one O(18), one O(20), one O(4), and one O(7) atom. In the eighth Bi site, Bi(8) is bonded in a distorted rectangular see-saw-like geometry to one O(1), one O(12), one O(15), and one O(19) atom. In the ninth Bi site, Bi(9) is bonded in a 6-coordinate geometry to one O(11), one O(12), one O(13), one O(17), one O(2), and one O(5) atom. In the tenth Bi site, Bi(10) is bonded in a 5-coordinate geometry to one O(11), one O(12), one O(14), one O(20), and one O(3) atom. In the eleventh Bi site, Bi(11) is bonded in a 4-coordinate geometry to one O(10), one O(15), one O(18), and one O(8) atom. In the twelfth Bi site, Bi(12) is bonded in a 5-coordinate geometry to one O(10), one O(16), one O(19), one O(7), and one O(8) atom. There are twenty inequivalent O sites. In the first O site, O(1) is bonded in a 3-coordinate geometry to one Mg(1), one Al(1), and one Bi(8) atom. In the second O site, O(2) is bonded in a distorted trigonal planar geometry to one Al(1), one Bi(3), and one Bi(9) atom. In the third O site, O(3) is bonded in a distorted T-shaped geometry to one Mg(1), one Al(1), and one Bi(10) atom. In the fourth O site, O(4) is bonded in a 3-coordinate geometry to one Al(1), one Bi(1), and one Bi(7) atom. In the fifth O site, O(5) is bonded in a distorted bent 120 degrees geometry to one Bi(1), one Bi(6), and one Bi(9) atom. In the sixth O site, O(6) is bonded in a bent 120 degrees geometry to one Bi(2) and one Bi(6) atom. In the seventh O site, O(7) is bonded in a 4-coordinate geometry to one Bi(12), one Bi(3), one Bi(4), and one Bi(7) atom. In the eighth O site, O(8) is bonded in a distorted trigonal non-coplanar geometry to one Bi(11), one Bi(12), and one Bi(4) atom. In the ninth O site, O(9) is bonded in a 3-coordinate geometry to one Mg(1), one Bi(4), and one Bi(5) atom. In the tenth O site, O(10) is bonded in a trigonal non-coplanar geometry to one Bi(11), one Bi(12), and one Bi(6) atom. In the eleventh O site, O(11) is bonded in a distorted see-saw-like geometry to one Bi(10), one Bi(2), one Bi(7), and one Bi(9) atom. In the twelfth O site, O(12) is bonded in a 4-coordinate geometry to one Bi(10), one Bi(5), one Bi(8), and one Bi(9) atom. In the thirteenth O site, O(13) is bonded in a distorted trigonal non-coplanar geometry to one Bi(2), one Bi(5), and one Bi(9) atom. In the fourteenth O site, O(14) is bonded in a trigonal non-coplanar geometry to one Bi(1), one Bi(10), and one Bi(3) atom. In the fifteenth O site, O(15) is bonded in a distorted trigonal non-coplanar geometry to one Bi(1), one Bi(11), and one Bi(8) atom. In the sixteenth O site, O(16) is bonded in a distorted bent 120 degrees geometry to one Bi(12), one Bi(5), and one Bi(7) atom. In the seventeenth O site, O(17) is bonded in a trigonal planar geometry to one Bi(1), one Bi(4), and one Bi(9) atom. In the eighteenth O site, O(18) is bonded in a 4-coordinate geometry to one Bi(11), one Bi(2), one Bi(3), and one Bi(7) atom. In the nineteenth O site, O(19) is bonded in a trigonal non-coplanar geometry to one Bi(12), one Bi(3), and one Bi(8) atom. In the twentieth O site, O(20) is bonded in a 4-coordinate geometry to one Mg(1), one Bi(10), one Bi(6), and one Bi(7) atom. is represented by the CIF file [CIF]
data_MgAl(Bi3O5)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.690
_cell_length_b   9.102
_cell_length_c   8.787
_cell_angle_alpha   108.126
_cell_angle_beta   110.507
_cell_angle_gamma   107.467
_symmetry_Int_Tables_number   1
_cell_volume   549.410
_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
  Mg  Mg0  1  0.157  0.112  0.331  1.0
  Al  Al1  1  0.991  0.991  0.969  1.0
  Bi  Bi2  1  0.816  0.637  0.503  1.0
  Bi  Bi3  1  0.245  0.769  0.887  1.0
  Bi  Bi4  1  0.782  0.272  0.081  1.0
  Bi  Bi5  1  0.632  0.484  0.794  1.0
  Bi  Bi6  1  0.144  0.419  0.545  1.0
  Bi  Bi7  1  0.689  0.850  0.219  1.0
  Bi  Bi8  1  0.252  0.090  0.740  1.0
  Bi  Bi9  1  0.295  0.448  0.160  1.0
  Bi  Bi10  1  0.528  0.812  0.657  1.0
  Bi  Bi11  1  0.114  0.755  0.304  1.0
  Bi  Bi12  1  0.504  0.158  0.303  1.0
  Bi  Bi13  1  0.855  0.211  0.709  1.0
  O  O14  1  0.178  0.200  0.154  1.0
  O  O15  1  0.792  0.017  0.944  1.0
  O  O16  1  0.049  0.883  0.100  1.0
  O  O17  1  0.023  0.950  0.777  1.0
  O  O18  1  0.661  0.761  0.407  1.0
  O  O19  1  0.402  0.780  0.143  1.0
  O  O20  1  0.599  0.221  0.819  1.0
  O  O21  1  0.754  0.383  0.637  1.0
  O  O22  1  0.355  0.318  0.571  1.0
  O  O23  1  0.753  0.119  0.374  1.0
  O  O24  1  0.240  0.838  0.622  1.0
  O  O25  1  0.277  0.565  0.398  1.0
  O  O26  1  0.422  0.674  0.794  1.0
  O  O27  1  0.849  0.581  0.224  1.0
  O  O28  1  0.574  0.389  0.281  1.0
  O  O29  1  0.128  0.340  0.756  1.0
  O  O30  1  0.681  0.661  0.675  1.0
  O  O31  1  0.441  0.040  0.015  1.0
  O  O32  1  0.993  0.393  0.012  1.0
  O  O33  1  0.059  0.974  0.439  1.0
[/CIF]
.
The structure described by MgAl(Bi3O5)4 crystallizes in the triclinic P1 space group. Mg(1) is bonded in a distorted rectangular see-saw-like geometry to one O(1), one O(20), one O(3), and one O(9) atom. Al(1) is bonded in a tetrahedral geometry to one O(1), one O(2), one O(3), and one O(4) atom. There are twelve inequivalent Bi sites. In the first Bi site, Bi(1) is bonded in a 5-coordinate geometry to one O(14), one O(15), one O(17), one O(4), and one O(5) atom. In the second Bi site, Bi(2) is bonded in a distorted rectangular see-saw-like geometry to one O(11), one O(13), one O(18), and one O(6) atom. In the third Bi site, Bi(3) is bonded in a 5-coordinate geometry to one O(14), one O(18), one O(19), one O(2), and one O(7) atom. In the fourth Bi site, Bi(4) is bonded in a distorted rectangular see-saw-like geometry to one O(17), one O(7), one O(8), and one O(9) atom. In the fifth Bi site, Bi(5) is bonded in a 4-coordinate geometry to one O(12), one O(13), one O(16), and one O(9) atom. In the sixth Bi site, Bi(6) is bonded in a 4-coordinate geometry to one O(10), one O(20), one O(5), and one O(6) atom. In the seventh Bi site, Bi(7) is bonded in a 6-coordinate geometry to one O(11), one O(16), one O(18), one O(20), one O(4), and one O(7) atom. In the eighth Bi site, Bi(8) is bonded in a distorted rectangular see-saw-like geometry to one O(1), one O(12), one O(15), and one O(19) atom. In the ninth Bi site, Bi(9) is bonded in a 6-coordinate geometry to one O(11), one O(12), one O(13), one O(17), one O(2), and one O(5) atom. In the tenth Bi site, Bi(10) is bonded in a 5-coordinate geometry to one O(11), one O(12), one O(14), one O(20), and one O(3) atom. In the eleventh Bi site, Bi(11) is bonded in a 4-coordinate geometry to one O(10), one O(15), one O(18), and one O(8) atom. In the twelfth Bi site, Bi(12) is bonded in a 5-coordinate geometry to one O(10), one O(16), one O(19), one O(7), and one O(8) atom. There are twenty inequivalent O sites. In the first O site, O(1) is bonded in a 3-coordinate geometry to one Mg(1), one Al(1), and one Bi(8) atom. In the second O site, O(2) is bonded in a distorted trigonal planar geometry to one Al(1), one Bi(3), and one Bi(9) atom. In the third O site, O(3) is bonded in a distorted T-shaped geometry to one Mg(1), one Al(1), and one Bi(10) atom. In the fourth O site, O(4) is bonded in a 3-coordinate geometry to one Al(1), one Bi(1), and one Bi(7) atom. In the fifth O site, O(5) is bonded in a distorted bent 120 degrees geometry to one Bi(1), one Bi(6), and one Bi(9) atom. In the sixth O site, O(6) is bonded in a bent 120 degrees geometry to one Bi(2) and one Bi(6) atom. In the seventh O site, O(7) is bonded in a 4-coordinate geometry to one Bi(12), one Bi(3), one Bi(4), and one Bi(7) atom. In the eighth O site, O(8) is bonded in a distorted trigonal non-coplanar geometry to one Bi(11), one Bi(12), and one Bi(4) atom. In the ninth O site, O(9) is bonded in a 3-coordinate geometry to one Mg(1), one Bi(4), and one Bi(5) atom. In the tenth O site, O(10) is bonded in a trigonal non-coplanar geometry to one Bi(11), one Bi(12), and one Bi(6) atom. In the eleventh O site, O(11) is bonded in a distorted see-saw-like geometry to one Bi(10), one Bi(2), one Bi(7), and one Bi(9) atom. In the twelfth O site, O(12) is bonded in a 4-coordinate geometry to one Bi(10), one Bi(5), one Bi(8), and one Bi(9) atom. In the thirteenth O site, O(13) is bonded in a distorted trigonal non-coplanar geometry to one Bi(2), one Bi(5), and one Bi(9) atom. In the fourteenth O site, O(14) is bonded in a trigonal non-coplanar geometry to one Bi(1), one Bi(10), and one Bi(3) atom. In the fifteenth O site, O(15) is bonded in a distorted trigonal non-coplanar geometry to one Bi(1), one Bi(11), and one Bi(8) atom. In the sixteenth O site, O(16) is bonded in a distorted bent 120 degrees geometry to one Bi(12), one Bi(5), and one Bi(7) atom. In the seventeenth O site, O(17) is bonded in a trigonal planar geometry to one Bi(1), one Bi(4), and one Bi(9) atom. In the eighteenth O site, O(18) is bonded in a 4-coordinate geometry to one Bi(11), one Bi(2), one Bi(3), and one Bi(7) atom. In the nineteenth O site, O(19) is bonded in a trigonal non-coplanar geometry to one Bi(12), one Bi(3), and one Bi(8) atom. In the twentieth O site, O(20) is bonded in a 4-coordinate geometry to one Mg(1), one Bi(10), one Bi(6), and one Bi(7) atom. is represented by the CIF file [CIF]
data_MgAl(Bi3O5)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.690
_cell_length_b   9.102
_cell_length_c   8.787
_cell_angle_alpha   108.126
_cell_angle_beta   110.507
_cell_angle_gamma   107.467
_symmetry_Int_Tables_number   1
_cell_volume   549.410
_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
  Mg  Mg0  1  0.157  0.112  0.331  1.0
  Al  Al1  1  0.991  0.991  0.969  1.0
  Bi  Bi2  1  0.816  0.637  0.503  1.0
  Bi  Bi3  1  0.245  0.769  0.887  1.0
  Bi  Bi4  1  0.782  0.272  0.081  1.0
  Bi  Bi5  1  0.632  0.484  0.794  1.0
  Bi  Bi6  1  0.144  0.419  0.545  1.0
  Bi  Bi7  1  0.689  0.850  0.219  1.0
  Bi  Bi8  1  0.252  0.090  0.740  1.0
  Bi  Bi9  1  0.295  0.448  0.160  1.0
  Bi  Bi10  1  0.528  0.812  0.657  1.0
  Bi  Bi11  1  0.114  0.755  0.304  1.0
  Bi  Bi12  1  0.504  0.158  0.303  1.0
  Bi  Bi13  1  0.855  0.211  0.709  1.0
  O  O14  1  0.178  0.200  0.154  1.0
  O  O15  1  0.792  0.017  0.944  1.0
  O  O16  1  0.049  0.883  0.100  1.0
  O  O17  1  0.023  0.950  0.777  1.0
  O  O18  1  0.661  0.761  0.407  1.0
  O  O19  1  0.402  0.780  0.143  1.0
  O  O20  1  0.599  0.221  0.819  1.0
  O  O21  1  0.754  0.383  0.637  1.0
  O  O22  1  0.355  0.318  0.571  1.0
  O  O23  1  0.753  0.119  0.374  1.0
  O  O24  1  0.240  0.838  0.622  1.0
  O  O25  1  0.277  0.565  0.398  1.0
  O  O26  1  0.422  0.674  0.794  1.0
  O  O27  1  0.849  0.581  0.224  1.0
  O  O28  1  0.574  0.389  0.281  1.0
  O  O29  1  0.128  0.340  0.756  1.0
  O  O30  1  0.681  0.661  0.675  1.0
  O  O31  1  0.441  0.040  0.015  1.0
  O  O32  1  0.993  0.393  0.012  1.0
  O  O33  1  0.059  0.974  0.439  1.0
[/CIF]
.