The material structure described by MgAl(Bi3O5)4 crystallizes in the triclinic P1 space group. Mg(1) is bonded to one O(11), one O(16), one O(20), one O(4), and one O(5) atom to form MgO5 trigonal bipyramids that share  a cornercorner with one Al(1)O4 tetrahedra,  an edgeedge with one Bi(10)O5 square pyramid,  an edgeedge with one Bi(5)O5 square pyramid, and  an edgeedge with one Bi(6)O5 square pyramid. Al(1) is bonded to one O(1), one O(2), one O(3), and one O(4) atom to form AlO4 tetrahedra that share  a cornercorner with one Bi(10)O5 square pyramid,  a cornercorner with one Bi(5)O5 square pyramid,  a cornercorner with one Bi(6)O5 square pyramid, and  a cornercorner with one Mg(1)O5 trigonal bipyramid. There are twelve inequivalent Bi sites. In the first Bi site, Bi(1) is bonded in a 3-coordinate geometry to one O(14), one O(15), one O(17), one O(5), and one O(8) atom. In the second Bi site, Bi(2) is bonded in a rectangular see-saw-like geometry to one O(13), one O(18), one O(3), and one O(6) atom. In the third Bi site, Bi(3) is bonded in a distorted rectangular see-saw-like geometry to one O(14), one O(15), one O(19), 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 to one O(1), one O(13), one O(16), one O(20), and one O(9) atom to form distorted BiO5 square pyramids that share  a cornercorner with one Bi(10)O5 square pyramid,  a cornercorner with one Bi(6)O5 square pyramid,  a cornercorner with one Al(1)O4 tetrahedra, and  an edgeedge with one Mg(1)O5 trigonal bipyramid. In the sixth Bi site, Bi(6) is bonded to one O(10), one O(2), one O(20), one O(5), and one O(6) atom to form distorted BiO5 square pyramids that share  a cornercorner with one Bi(10)O5 square pyramid,  a cornercorner with one Bi(5)O5 square pyramid,  a cornercorner with one Al(1)O4 tetrahedra, and  an edgeedge with one Mg(1)O5 trigonal bipyramid. In the seventh Bi site, Bi(7) is bonded in a 3-coordinate geometry to one O(11), one O(15), one O(18), one O(7), and one O(9) atom. In the eighth Bi site, Bi(8) is bonded in a rectangular see-saw-like geometry to one O(1), one O(12), one O(19), and one O(6) atom. In the ninth Bi site, Bi(9) is bonded in a rectangular see-saw-like geometry to one O(12), one O(13), one O(17), and one O(2) atom. In the tenth Bi site, Bi(10) is bonded to one O(11), one O(12), one O(14), one O(20), and one O(3) atom to form distorted BiO5 square pyramids that share  a cornercorner with one Bi(5)O5 square pyramid,  a cornercorner with one Bi(6)O5 square pyramid,  a cornercorner with one Al(1)O4 tetrahedra, and  an edgeedge with one Mg(1)O5 trigonal bipyramid. In the eleventh Bi site, Bi(11) is bonded in a distorted rectangular see-saw-like 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 3-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 distorted trigonal planar geometry to one Al(1), one Bi(5), 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(6), and one Bi(9) atom. In the third O site, O(3) is bonded in a distorted trigonal planar geometry to one Al(1), one Bi(10), and one Bi(2) atom. In the fourth O site, O(4) is bonded in a linear geometry to one Mg(1) and one Al(1) atom. In the fifth O site, O(5) is bonded in a distorted T-shaped geometry to one Mg(1), one Bi(1), and one Bi(6) atom. In the sixth O site, O(6) is bonded in a trigonal non-coplanar geometry to one Bi(2), one Bi(6), and one Bi(8) 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 4-coordinate geometry to one Bi(1), one Bi(11), one Bi(12), and one Bi(4) atom. In the ninth O site, O(9) is bonded in a distorted bent 120 degrees geometry to one Bi(4), one Bi(5), and one Bi(7) atom. In the tenth O site, O(10) is bonded in a distorted 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 T-shaped geometry to one Mg(1), one Bi(10), and one Bi(7) atom. In the twelfth O site, O(12) is bonded in a trigonal non-coplanar geometry to one Bi(10), one Bi(8), and one Bi(9) atom. In the thirteenth O site, O(13) is bonded in a 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 distorted 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 4-coordinate geometry to one Bi(1), one Bi(11), one Bi(3), and one Bi(7) atom. In the sixteenth O site, O(16) is bonded in a distorted T-shaped geometry to one Mg(1), one Bi(12), and one Bi(5) atom. In the seventeenth O site, O(17) is bonded in a trigonal non-coplanar geometry to one Bi(1), one Bi(4), and one Bi(9) atom. In the eighteenth O site, O(18) is bonded in a trigonal non-coplanar geometry to one Bi(11), one Bi(2), 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 trigonal pyramidal geometry to one Mg(1), one Bi(10), one Bi(5), and one Bi(6) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_MgAl(Bi3O5)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   9.023
_cell_length_b   9.033
_cell_length_c   8.907
_cell_angle_alpha   109.208
_cell_angle_beta   109.174
_cell_angle_gamma   109.746
_symmetry_Int_Tables_number   1
_cell_volume   560.801
_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  1.000  0.000  0.578  1.0
  Al  Al1  1  0.000  0.000  0.001  1.0
  Bi  Bi2  1  0.801  0.632  0.503  1.0
  Bi  Bi3  1  0.191  0.714  0.883  1.0
  Bi  Bi4  1  0.850  0.346  0.151  1.0
  Bi  Bi5  1  0.654  0.505  0.806  1.0
  Bi  Bi6  1  0.166  0.314  0.490  1.0
  Bi  Bi7  1  0.686  0.852  0.176  1.0
  Bi  Bi8  1  0.368  0.170  0.872  1.0
  Bi  Bi9  1  0.287  0.479  0.169  1.0
  Bi  Bi10  1  0.522  0.809  0.691  1.0
  Bi  Bi11  1  0.148  0.834  0.324  1.0
  Bi  Bi12  1  0.495  0.151  0.302  1.0
  Bi  Bi13  1  0.829  0.198  0.701  1.0
  O  O14  1  0.179  0.220  0.198  1.0
  O  O15  1  0.780  0.959  0.978  1.0
  O  O16  1  0.042  0.822  0.020  1.0
  O  O17  1  0.001  0.001  0.803  1.0
  O  O18  1  0.729  0.811  0.424  1.0
  O  O19  1  0.363  0.745  0.134  1.0
  O  O20  1  0.632  0.243  0.879  1.0
  O  O21  1  0.756  0.390  0.636  1.0
  O  O22  1  0.383  0.271  0.622  1.0
  O  O23  1  0.728  0.112  0.352  1.0
  O  O24  1  0.190  0.919  0.613  1.0
  O  O25  1  0.254  0.618  0.388  1.0
  O  O26  1  0.382  0.636  0.770  1.0
  O  O27  1  0.888  0.616  0.239  1.0
  O  O28  1  0.609  0.368  0.246  1.0
  O  O29  1  0.081  0.271  0.694  1.0
  O  O30  1  0.599  0.604  0.600  1.0
  O  O31  1  0.398  0.997  0.997  1.0
  O  O32  1  0.004  0.401  1.000  1.0
  O  O33  1  0.000  0.000  0.350  1.0
[/CIF]
.
The material structure described by MgAl(Bi3O5)4 crystallizes in the triclinic P1 space group. Mg(1) is bonded to one O(11), one O(16), one O(20), one O(4), and one O(5) atom to form MgO5 trigonal bipyramids that share  a cornercorner with one Al(1)O4 tetrahedra,  an edgeedge with one Bi(10)O5 square pyramid,  an edgeedge with one Bi(5)O5 square pyramid, and  an edgeedge with one Bi(6)O5 square pyramid. Al(1) is bonded to one O(1), one O(2), one O(3), and one O(4) atom to form AlO4 tetrahedra that share  a cornercorner with one Bi(10)O5 square pyramid,  a cornercorner with one Bi(5)O5 square pyramid,  a cornercorner with one Bi(6)O5 square pyramid, and  a cornercorner with one Mg(1)O5 trigonal bipyramid. There are twelve inequivalent Bi sites. In the first Bi site, Bi(1) is bonded in a 3-coordinate geometry to one O(14), one O(15), one O(17), one O(5), and one O(8) atom. In the second Bi site, Bi(2) is bonded in a rectangular see-saw-like geometry to one O(13), one O(18), one O(3), and one O(6) atom. In the third Bi site, Bi(3) is bonded in a distorted rectangular see-saw-like geometry to one O(14), one O(15), one O(19), 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 to one O(1), one O(13), one O(16), one O(20), and one O(9) atom to form distorted BiO5 square pyramids that share  a cornercorner with one Bi(10)O5 square pyramid,  a cornercorner with one Bi(6)O5 square pyramid,  a cornercorner with one Al(1)O4 tetrahedra, and  an edgeedge with one Mg(1)O5 trigonal bipyramid. In the sixth Bi site, Bi(6) is bonded to one O(10), one O(2), one O(20), one O(5), and one O(6) atom to form distorted BiO5 square pyramids that share  a cornercorner with one Bi(10)O5 square pyramid,  a cornercorner with one Bi(5)O5 square pyramid,  a cornercorner with one Al(1)O4 tetrahedra, and  an edgeedge with one Mg(1)O5 trigonal bipyramid. In the seventh Bi site, Bi(7) is bonded in a 3-coordinate geometry to one O(11), one O(15), one O(18), one O(7), and one O(9) atom. In the eighth Bi site, Bi(8) is bonded in a rectangular see-saw-like geometry to one O(1), one O(12), one O(19), and one O(6) atom. In the ninth Bi site, Bi(9) is bonded in a rectangular see-saw-like geometry to one O(12), one O(13), one O(17), and one O(2) atom. In the tenth Bi site, Bi(10) is bonded to one O(11), one O(12), one O(14), one O(20), and one O(3) atom to form distorted BiO5 square pyramids that share  a cornercorner with one Bi(5)O5 square pyramid,  a cornercorner with one Bi(6)O5 square pyramid,  a cornercorner with one Al(1)O4 tetrahedra, and  an edgeedge with one Mg(1)O5 trigonal bipyramid. In the eleventh Bi site, Bi(11) is bonded in a distorted rectangular see-saw-like 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 3-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 distorted trigonal planar geometry to one Al(1), one Bi(5), 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(6), and one Bi(9) atom. In the third O site, O(3) is bonded in a distorted trigonal planar geometry to one Al(1), one Bi(10), and one Bi(2) atom. In the fourth O site, O(4) is bonded in a linear geometry to one Mg(1) and one Al(1) atom. In the fifth O site, O(5) is bonded in a distorted T-shaped geometry to one Mg(1), one Bi(1), and one Bi(6) atom. In the sixth O site, O(6) is bonded in a trigonal non-coplanar geometry to one Bi(2), one Bi(6), and one Bi(8) 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 4-coordinate geometry to one Bi(1), one Bi(11), one Bi(12), and one Bi(4) atom. In the ninth O site, O(9) is bonded in a distorted bent 120 degrees geometry to one Bi(4), one Bi(5), and one Bi(7) atom. In the tenth O site, O(10) is bonded in a distorted 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 T-shaped geometry to one Mg(1), one Bi(10), and one Bi(7) atom. In the twelfth O site, O(12) is bonded in a trigonal non-coplanar geometry to one Bi(10), one Bi(8), and one Bi(9) atom. In the thirteenth O site, O(13) is bonded in a 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 distorted 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 4-coordinate geometry to one Bi(1), one Bi(11), one Bi(3), and one Bi(7) atom. In the sixteenth O site, O(16) is bonded in a distorted T-shaped geometry to one Mg(1), one Bi(12), and one Bi(5) atom. In the seventeenth O site, O(17) is bonded in a trigonal non-coplanar geometry to one Bi(1), one Bi(4), and one Bi(9) atom. In the eighteenth O site, O(18) is bonded in a trigonal non-coplanar geometry to one Bi(11), one Bi(2), 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 trigonal pyramidal geometry to one Mg(1), one Bi(10), one Bi(5), and one Bi(6) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_MgAl(Bi3O5)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   9.023
_cell_length_b   9.033
_cell_length_c   8.907
_cell_angle_alpha   109.208
_cell_angle_beta   109.174
_cell_angle_gamma   109.746
_symmetry_Int_Tables_number   1
_cell_volume   560.801
_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  1.000  0.000  0.578  1.0
  Al  Al1  1  0.000  0.000  0.001  1.0
  Bi  Bi2  1  0.801  0.632  0.503  1.0
  Bi  Bi3  1  0.191  0.714  0.883  1.0
  Bi  Bi4  1  0.850  0.346  0.151  1.0
  Bi  Bi5  1  0.654  0.505  0.806  1.0
  Bi  Bi6  1  0.166  0.314  0.490  1.0
  Bi  Bi7  1  0.686  0.852  0.176  1.0
  Bi  Bi8  1  0.368  0.170  0.872  1.0
  Bi  Bi9  1  0.287  0.479  0.169  1.0
  Bi  Bi10  1  0.522  0.809  0.691  1.0
  Bi  Bi11  1  0.148  0.834  0.324  1.0
  Bi  Bi12  1  0.495  0.151  0.302  1.0
  Bi  Bi13  1  0.829  0.198  0.701  1.0
  O  O14  1  0.179  0.220  0.198  1.0
  O  O15  1  0.780  0.959  0.978  1.0
  O  O16  1  0.042  0.822  0.020  1.0
  O  O17  1  0.001  0.001  0.803  1.0
  O  O18  1  0.729  0.811  0.424  1.0
  O  O19  1  0.363  0.745  0.134  1.0
  O  O20  1  0.632  0.243  0.879  1.0
  O  O21  1  0.756  0.390  0.636  1.0
  O  O22  1  0.383  0.271  0.622  1.0
  O  O23  1  0.728  0.112  0.352  1.0
  O  O24  1  0.190  0.919  0.613  1.0
  O  O25  1  0.254  0.618  0.388  1.0
  O  O26  1  0.382  0.636  0.770  1.0
  O  O27  1  0.888  0.616  0.239  1.0
  O  O28  1  0.609  0.368  0.246  1.0
  O  O29  1  0.081  0.271  0.694  1.0
  O  O30  1  0.599  0.604  0.600  1.0
  O  O31  1  0.398  0.997  0.997  1.0
  O  O32  1  0.004  0.401  1.000  1.0
  O  O33  1  0.000  0.000  0.350  1.0
[/CIF]
.