The compound described by MgAl(Bi3O5)4 is Antimony trioxide-derived structured and crystallizes in the triclinic P1 space group. Mg(1) is bonded in a 4-coordinate geometry to one O(17), one O(2), one O(3), and one O(4) atom. Al(1) is bonded to one O(1), one O(2), one O(3), and one O(4) atom to form distorted AlO4 trigonal pyramids that share  a cornercorner with one Bi(10)O5 square pyramid,  a cornercorner with one Bi(11)O5 square pyramid,  a cornercorner with one Bi(3)O5 square pyramid,  a cornercorner with one Bi(5)O5 square pyramid,  a cornercorner with one Bi(7)O5 square pyramid, and  a cornercorner with one Bi(8)O5 square pyramid. There are twelve inequivalent Bi sites. In the first Bi site, Bi(1) is bonded in a distorted rectangular see-saw-like geometry to one O(14), one O(15), one O(17), and one O(5) atom. In the second Bi site, Bi(2) is bonded in a 5-coordinate geometry to one O(13), one O(16), one O(18), one O(3), and one O(6) atom. In the third Bi site, Bi(3) is bonded to one O(14), one O(15), one O(19), one O(2), and one O(7) atom to form distorted BiO5 square pyramids that share  a cornercorner with one Bi(10)O5 square pyramid,  a cornercorner with one Bi(11)O5 square pyramid,  a cornercorner with one Bi(7)O5 square pyramid,  a cornercorner with one Bi(8)O5 square pyramid, and  a cornercorner with one Al(1)O4 trigonal pyramid. 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(11)O5 square pyramid,  a cornercorner with one Bi(7)O5 square pyramid,  a cornercorner with one Bi(8)O5 square pyramid, and  a cornercorner with one Al(1)O4 trigonal pyramid. In the sixth Bi site, Bi(6) is bonded in a 5-coordinate geometry to one O(10), one O(2), one O(20), one O(5), and one O(6) atom. In the seventh Bi site, Bi(7) is bonded to one O(11), one O(18), one O(4), one O(7), 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(11)O5 square pyramid,  a cornercorner with one Bi(3)O5 square pyramid,  a cornercorner with one Bi(5)O5 square pyramid, and  a cornercorner with one Al(1)O4 trigonal pyramid. In the eighth Bi site, Bi(8) is bonded to one O(1), one O(12), one O(19), 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(11)O5 square pyramid,  a cornercorner with one Bi(3)O5 square pyramid,  a cornercorner with one Bi(5)O5 square pyramid, and  a cornercorner with one Al(1)O4 trigonal pyramid. In the ninth Bi site, Bi(9) is bonded in a distorted rectangular see-saw-like geometry to one O(11), one O(12), one O(13), and one O(17) 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(3)O5 square pyramid,  a cornercorner with one Bi(5)O5 square pyramid,  a cornercorner with one Bi(7)O5 square pyramid,  a cornercorner with one Bi(8)O5 square pyramid, and  a cornercorner with one Al(1)O4 trigonal pyramid. In the eleventh Bi site, Bi(11) is bonded to one O(1), one O(10), one O(15), one O(18), and one O(8) atom to form distorted BiO5 square pyramids that share  a cornercorner with one Bi(3)O5 square pyramid,  a cornercorner with one Bi(5)O5 square pyramid,  a cornercorner with one Bi(7)O5 square pyramid,  a cornercorner with one Bi(8)O5 square pyramid, and  a cornercorner with one Al(1)O4 trigonal pyramid. 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(4), and one O(8) atom. There are twenty inequivalent O sites. In the first O site, O(1) is bonded in a distorted single-bond geometry to one Al(1), one Bi(11), one Bi(5), and one Bi(8) atom. In the second O site, O(2) is bonded in a 4-coordinate geometry to one Mg(1), one Al(1), one Bi(3), and one Bi(6) atom. In the third O site, O(3) is bonded in a 4-coordinate geometry to one Mg(1), one Al(1), one Bi(10), and one Bi(2) atom. In the fourth O site, O(4) is bonded in a 4-coordinate geometry to one Mg(1), one Al(1), one Bi(12), and one Bi(7) atom. In the fifth O site, O(5) is bonded in a trigonal non-coplanar geometry to one Bi(1), one Bi(6), and one Bi(8) atom. In the sixth O site, O(6) is bonded in a distorted 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 trigonal non-coplanar geometry to one Bi(3), one Bi(4), and one Bi(7) atom. In the eighth O site, O(8) is bonded in a 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 distorted trigonal non-coplanar 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 trigonal non-coplanar geometry to one Bi(10), one Bi(7), and one Bi(9) atom. In the twelfth O site, O(12) is bonded in a distorted 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 distorted trigonal non-coplanar geometry to one Bi(1), one Bi(11), and one Bi(3) atom. In the sixteenth O site, O(16) is bonded in a distorted trigonal non-coplanar geometry to one Bi(12), one Bi(2), and one Bi(5) atom. In the seventeenth O site, O(17) is bonded in a distorted trigonal pyramidal geometry to one Mg(1), 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 non-coplanar geometry to 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   8.993
_cell_length_b   8.990
_cell_length_c   8.989
_cell_angle_alpha   108.475
_cell_angle_beta   108.551
_cell_angle_gamma   108.607
_symmetry_Int_Tables_number   1
_cell_volume   577.792
_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  0.829  0.831  0.829  1.0
  Al  Al1  1  0.075  0.076  0.075  1.0
  Bi  Bi2  1  0.791  0.624  0.452  1.0
  Bi  Bi3  1  0.195  0.707  0.864  1.0
  Bi  Bi4  1  0.834  0.314  0.122  1.0
  Bi  Bi5  1  0.626  0.452  0.791  1.0
  Bi  Bi6  1  0.153  0.310  0.499  1.0
  Bi  Bi7  1  0.706  0.864  0.194  1.0
  Bi  Bi8  1  0.315  0.123  0.835  1.0
  Bi  Bi9  1  0.309  0.499  0.153  1.0
  Bi  Bi10  1  0.451  0.792  0.624  1.0
  Bi  Bi11  1  0.121  0.835  0.313  1.0
  Bi  Bi12  1  0.499  0.151  0.309  1.0
  Bi  Bi13  1  0.865  0.194  0.707  1.0
  O  O14  1  0.258  0.258  0.259  1.0
  O  O15  1  0.849  0.041  0.028  1.0
  O  O16  1  0.027  0.850  0.040  1.0
  O  O17  1  0.040  0.029  0.850  1.0
  O  O18  1  0.627  0.733  0.353  1.0
  O  O19  1  0.359  0.739  0.112  1.0
  O  O20  1  0.616  0.225  0.869  1.0
  O  O21  1  0.733  0.352  0.626  1.0
  O  O22  1  0.361  0.248  0.610  1.0
  O  O23  1  0.738  0.112  0.358  1.0
  O  O24  1  0.226  0.870  0.616  1.0
  O  O25  1  0.246  0.609  0.361  1.0
  O  O26  1  0.353  0.628  0.734  1.0
  O  O27  1  0.869  0.616  0.225  1.0
  O  O28  1  0.609  0.360  0.247  1.0
  O  O29  1  0.112  0.360  0.739  1.0
  O  O30  1  0.628  0.627  0.628  1.0
  O  O31  1  0.390  0.994  1.000  1.0
  O  O32  1  0.999  0.391  0.994  1.0
  O  O33  1  0.994  1.000  0.390  1.0
[/CIF]
.
The compound described by MgAl(Bi3O5)4 is Antimony trioxide-derived structured and crystallizes in the triclinic P1 space group. Mg(1) is bonded in a 4-coordinate geometry to one O(17), one O(2), one O(3), and one O(4) atom. Al(1) is bonded to one O(1), one O(2), one O(3), and one O(4) atom to form distorted AlO4 trigonal pyramids that share  a cornercorner with one Bi(10)O5 square pyramid,  a cornercorner with one Bi(11)O5 square pyramid,  a cornercorner with one Bi(3)O5 square pyramid,  a cornercorner with one Bi(5)O5 square pyramid,  a cornercorner with one Bi(7)O5 square pyramid, and  a cornercorner with one Bi(8)O5 square pyramid. There are twelve inequivalent Bi sites. In the first Bi site, Bi(1) is bonded in a distorted rectangular see-saw-like geometry to one O(14), one O(15), one O(17), and one O(5) atom. In the second Bi site, Bi(2) is bonded in a 5-coordinate geometry to one O(13), one O(16), one O(18), one O(3), and one O(6) atom. In the third Bi site, Bi(3) is bonded to one O(14), one O(15), one O(19), one O(2), and one O(7) atom to form distorted BiO5 square pyramids that share  a cornercorner with one Bi(10)O5 square pyramid,  a cornercorner with one Bi(11)O5 square pyramid,  a cornercorner with one Bi(7)O5 square pyramid,  a cornercorner with one Bi(8)O5 square pyramid, and  a cornercorner with one Al(1)O4 trigonal pyramid. 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(11)O5 square pyramid,  a cornercorner with one Bi(7)O5 square pyramid,  a cornercorner with one Bi(8)O5 square pyramid, and  a cornercorner with one Al(1)O4 trigonal pyramid. In the sixth Bi site, Bi(6) is bonded in a 5-coordinate geometry to one O(10), one O(2), one O(20), one O(5), and one O(6) atom. In the seventh Bi site, Bi(7) is bonded to one O(11), one O(18), one O(4), one O(7), 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(11)O5 square pyramid,  a cornercorner with one Bi(3)O5 square pyramid,  a cornercorner with one Bi(5)O5 square pyramid, and  a cornercorner with one Al(1)O4 trigonal pyramid. In the eighth Bi site, Bi(8) is bonded to one O(1), one O(12), one O(19), 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(11)O5 square pyramid,  a cornercorner with one Bi(3)O5 square pyramid,  a cornercorner with one Bi(5)O5 square pyramid, and  a cornercorner with one Al(1)O4 trigonal pyramid. In the ninth Bi site, Bi(9) is bonded in a distorted rectangular see-saw-like geometry to one O(11), one O(12), one O(13), and one O(17) 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(3)O5 square pyramid,  a cornercorner with one Bi(5)O5 square pyramid,  a cornercorner with one Bi(7)O5 square pyramid,  a cornercorner with one Bi(8)O5 square pyramid, and  a cornercorner with one Al(1)O4 trigonal pyramid. In the eleventh Bi site, Bi(11) is bonded to one O(1), one O(10), one O(15), one O(18), and one O(8) atom to form distorted BiO5 square pyramids that share  a cornercorner with one Bi(3)O5 square pyramid,  a cornercorner with one Bi(5)O5 square pyramid,  a cornercorner with one Bi(7)O5 square pyramid,  a cornercorner with one Bi(8)O5 square pyramid, and  a cornercorner with one Al(1)O4 trigonal pyramid. 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(4), and one O(8) atom. There are twenty inequivalent O sites. In the first O site, O(1) is bonded in a distorted single-bond geometry to one Al(1), one Bi(11), one Bi(5), and one Bi(8) atom. In the second O site, O(2) is bonded in a 4-coordinate geometry to one Mg(1), one Al(1), one Bi(3), and one Bi(6) atom. In the third O site, O(3) is bonded in a 4-coordinate geometry to one Mg(1), one Al(1), one Bi(10), and one Bi(2) atom. In the fourth O site, O(4) is bonded in a 4-coordinate geometry to one Mg(1), one Al(1), one Bi(12), and one Bi(7) atom. In the fifth O site, O(5) is bonded in a trigonal non-coplanar geometry to one Bi(1), one Bi(6), and one Bi(8) atom. In the sixth O site, O(6) is bonded in a distorted 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 trigonal non-coplanar geometry to one Bi(3), one Bi(4), and one Bi(7) atom. In the eighth O site, O(8) is bonded in a 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 distorted trigonal non-coplanar 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 trigonal non-coplanar geometry to one Bi(10), one Bi(7), and one Bi(9) atom. In the twelfth O site, O(12) is bonded in a distorted 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 distorted trigonal non-coplanar geometry to one Bi(1), one Bi(11), and one Bi(3) atom. In the sixteenth O site, O(16) is bonded in a distorted trigonal non-coplanar geometry to one Bi(12), one Bi(2), and one Bi(5) atom. In the seventeenth O site, O(17) is bonded in a distorted trigonal pyramidal geometry to one Mg(1), 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 non-coplanar geometry to 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   8.993
_cell_length_b   8.990
_cell_length_c   8.989
_cell_angle_alpha   108.475
_cell_angle_beta   108.551
_cell_angle_gamma   108.607
_symmetry_Int_Tables_number   1
_cell_volume   577.792
_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  0.829  0.831  0.829  1.0
  Al  Al1  1  0.075  0.076  0.075  1.0
  Bi  Bi2  1  0.791  0.624  0.452  1.0
  Bi  Bi3  1  0.195  0.707  0.864  1.0
  Bi  Bi4  1  0.834  0.314  0.122  1.0
  Bi  Bi5  1  0.626  0.452  0.791  1.0
  Bi  Bi6  1  0.153  0.310  0.499  1.0
  Bi  Bi7  1  0.706  0.864  0.194  1.0
  Bi  Bi8  1  0.315  0.123  0.835  1.0
  Bi  Bi9  1  0.309  0.499  0.153  1.0
  Bi  Bi10  1  0.451  0.792  0.624  1.0
  Bi  Bi11  1  0.121  0.835  0.313  1.0
  Bi  Bi12  1  0.499  0.151  0.309  1.0
  Bi  Bi13  1  0.865  0.194  0.707  1.0
  O  O14  1  0.258  0.258  0.259  1.0
  O  O15  1  0.849  0.041  0.028  1.0
  O  O16  1  0.027  0.850  0.040  1.0
  O  O17  1  0.040  0.029  0.850  1.0
  O  O18  1  0.627  0.733  0.353  1.0
  O  O19  1  0.359  0.739  0.112  1.0
  O  O20  1  0.616  0.225  0.869  1.0
  O  O21  1  0.733  0.352  0.626  1.0
  O  O22  1  0.361  0.248  0.610  1.0
  O  O23  1  0.738  0.112  0.358  1.0
  O  O24  1  0.226  0.870  0.616  1.0
  O  O25  1  0.246  0.609  0.361  1.0
  O  O26  1  0.353  0.628  0.734  1.0
  O  O27  1  0.869  0.616  0.225  1.0
  O  O28  1  0.609  0.360  0.247  1.0
  O  O29  1  0.112  0.360  0.739  1.0
  O  O30  1  0.628  0.627  0.628  1.0
  O  O31  1  0.390  0.994  1.000  1.0
  O  O32  1  0.999  0.391  0.994  1.0
  O  O33  1  0.994  1.000  0.390  1.0
[/CIF]
.