The material structure described by Mg(BiO2)4 crystallizes in the monoclinic Cm space group. Mg(1) is bonded to one O(4), two equivalent O(6), and two equivalent O(7) atoms to form MgO5 square pyramids that share corners with two equivalent Bi(3)O6 octahedra, corners with two equivalent Bi(4)O6 octahedra,  a cornercorner with one Bi(2)O4 tetrahedra,  an edgeedge with one Bi(4)O6 octahedra, edges with two equivalent Bi(1)O6 octahedra, and edges with two equivalent Mg(1)O5 square pyramids. The corner-sharing octahedral tilt angles range from 16-55°. There are four inequivalent Bi sites. In the first Bi site, Bi(1) is bonded to one O(2), one O(7), two equivalent O(4), and two equivalent O(5) atoms to form distorted BiO6 octahedra that share corners with two equivalent Bi(3)O6 octahedra, corners with two equivalent Bi(2)O4 tetrahedra, edges with two equivalent Bi(1)O6 octahedra, edges with two equivalent Bi(4)O6 octahedra, and edges with two equivalent Mg(1)O5 square pyramids. The corner-sharing octahedral tilt angles are 52°. In the second Bi site, Bi(2) is bonded to one O(4), one O(8), and two equivalent O(3) atoms to form BiO4 tetrahedra that share corners with two equivalent Bi(1)O6 octahedra, corners with two equivalent Bi(3)O6 octahedra, corners with two equivalent Bi(4)O6 octahedra,  a cornercorner with one Mg(1)O5 square pyramid, and corners with two equivalent Bi(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 47-68°. In the third Bi site, Bi(3) is bonded to one O(1), one O(6), two equivalent O(2), and two equivalent O(8) atoms to form BiO6 octahedra that share corners with two equivalent Bi(1)O6 octahedra, corners with two equivalent Bi(4)O6 octahedra, corners with two equivalent Mg(1)O5 square pyramids, corners with two equivalent Bi(2)O4 tetrahedra, and edges with two equivalent Bi(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-52°. In the fourth Bi site, Bi(4) is bonded to one O(3), one O(5), two equivalent O(1), and two equivalent O(7) atoms to form distorted BiO6 octahedra that share corners with two equivalent Bi(3)O6 octahedra, corners with two equivalent Mg(1)O5 square pyramids, corners with two equivalent Bi(2)O4 tetrahedra, edges with two equivalent Bi(1)O6 octahedra, edges with two equivalent Bi(4)O6 octahedra, and  an edgeedge with one Mg(1)O5 square pyramid. The corner-sharing octahedral tilt angles are 51°. There are eight inequivalent O sites. In the first O site, O(1) is bonded in a distorted trigonal planar geometry to one Bi(3) and two equivalent Bi(4) atoms. In the second O site, O(2) is bonded in a distorted trigonal planar geometry to one Bi(1) and two equivalent Bi(3) atoms. In the third O site, O(3) is bonded in a trigonal planar geometry to one Bi(4) and two equivalent Bi(2) atoms. In the fourth O site, O(4) is bonded to one Mg(1), one Bi(2), and two equivalent Bi(1) atoms to form distorted OMgBi3 trigonal pyramids that share corners with two equivalent O(4)MgBi3 trigonal pyramids and edges with two equivalent O(7)Mg2Bi3 square pyramids. In the fifth O site, O(5) is bonded in a trigonal non-coplanar geometry to one Bi(4) and two equivalent Bi(1) atoms. In the sixth O site, O(6) is bonded in a trigonal planar geometry to two equivalent Mg(1) and one Bi(3) atom. In the seventh O site, O(7) is bonded to two equivalent Mg(1), one Bi(1), and two equivalent Bi(4) atoms to form OMg2Bi3 square pyramids that share edges with two equivalent O(7)Mg2Bi3 square pyramids and edges with two equivalent O(4)MgBi3 trigonal pyramids. In the eighth O site, O(8) is bonded in a trigonal non-coplanar geometry to one Bi(2) and two equivalent Bi(3) atoms. is represented by the Crystallographic Information File (CIF) [CIF]
data_Mg(BiO2)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.747
_cell_length_b   8.747
_cell_length_c   10.169
_cell_angle_alpha   56.535
_cell_angle_beta   56.535
_cell_angle_gamma   22.374
_symmetry_Int_Tables_number   1
_cell_volume   244.958
_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  0.301  0.301  0.224  1.0
  Bi  Bi1  1  0.645  0.645  0.563  1.0
  Bi  Bi2  1  0.125  0.125  0.200  1.0
  Bi  Bi3  1  0.855  0.855  0.853  1.0
  Bi  Bi4  1  0.355  0.355  0.495  1.0
  O  O5  1  0.873  0.873  0.622  1.0
  O  O6  1  0.453  0.453  0.780  1.0
  O  O7  1  0.527  0.527  0.272  1.0
  O  O8  1  0.157  0.157  0.383  1.0
  O  O9  1  0.198  0.198  0.643  1.0
  O  O10  1  0.808  0.808  0.096  1.0
  O  O11  1  0.805  0.805  0.363  1.0
  O  O12  1  0.258  0.258  0.913  1.0
[/CIF]
.
The material structure described by Mg(BiO2)4 crystallizes in the monoclinic Cm space group. Mg(1) is bonded to one O(4), two equivalent O(6), and two equivalent O(7) atoms to form MgO5 square pyramids that share corners with two equivalent Bi(3)O6 octahedra, corners with two equivalent Bi(4)O6 octahedra,  a cornercorner with one Bi(2)O4 tetrahedra,  an edgeedge with one Bi(4)O6 octahedra, edges with two equivalent Bi(1)O6 octahedra, and edges with two equivalent Mg(1)O5 square pyramids. The corner-sharing octahedral tilt angles range from 16-55°. There are four inequivalent Bi sites. In the first Bi site, Bi(1) is bonded to one O(2), one O(7), two equivalent O(4), and two equivalent O(5) atoms to form distorted BiO6 octahedra that share corners with two equivalent Bi(3)O6 octahedra, corners with two equivalent Bi(2)O4 tetrahedra, edges with two equivalent Bi(1)O6 octahedra, edges with two equivalent Bi(4)O6 octahedra, and edges with two equivalent Mg(1)O5 square pyramids. The corner-sharing octahedral tilt angles are 52°. In the second Bi site, Bi(2) is bonded to one O(4), one O(8), and two equivalent O(3) atoms to form BiO4 tetrahedra that share corners with two equivalent Bi(1)O6 octahedra, corners with two equivalent Bi(3)O6 octahedra, corners with two equivalent Bi(4)O6 octahedra,  a cornercorner with one Mg(1)O5 square pyramid, and corners with two equivalent Bi(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 47-68°. In the third Bi site, Bi(3) is bonded to one O(1), one O(6), two equivalent O(2), and two equivalent O(8) atoms to form BiO6 octahedra that share corners with two equivalent Bi(1)O6 octahedra, corners with two equivalent Bi(4)O6 octahedra, corners with two equivalent Mg(1)O5 square pyramids, corners with two equivalent Bi(2)O4 tetrahedra, and edges with two equivalent Bi(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-52°. In the fourth Bi site, Bi(4) is bonded to one O(3), one O(5), two equivalent O(1), and two equivalent O(7) atoms to form distorted BiO6 octahedra that share corners with two equivalent Bi(3)O6 octahedra, corners with two equivalent Mg(1)O5 square pyramids, corners with two equivalent Bi(2)O4 tetrahedra, edges with two equivalent Bi(1)O6 octahedra, edges with two equivalent Bi(4)O6 octahedra, and  an edgeedge with one Mg(1)O5 square pyramid. The corner-sharing octahedral tilt angles are 51°. There are eight inequivalent O sites. In the first O site, O(1) is bonded in a distorted trigonal planar geometry to one Bi(3) and two equivalent Bi(4) atoms. In the second O site, O(2) is bonded in a distorted trigonal planar geometry to one Bi(1) and two equivalent Bi(3) atoms. In the third O site, O(3) is bonded in a trigonal planar geometry to one Bi(4) and two equivalent Bi(2) atoms. In the fourth O site, O(4) is bonded to one Mg(1), one Bi(2), and two equivalent Bi(1) atoms to form distorted OMgBi3 trigonal pyramids that share corners with two equivalent O(4)MgBi3 trigonal pyramids and edges with two equivalent O(7)Mg2Bi3 square pyramids. In the fifth O site, O(5) is bonded in a trigonal non-coplanar geometry to one Bi(4) and two equivalent Bi(1) atoms. In the sixth O site, O(6) is bonded in a trigonal planar geometry to two equivalent Mg(1) and one Bi(3) atom. In the seventh O site, O(7) is bonded to two equivalent Mg(1), one Bi(1), and two equivalent Bi(4) atoms to form OMg2Bi3 square pyramids that share edges with two equivalent O(7)Mg2Bi3 square pyramids and edges with two equivalent O(4)MgBi3 trigonal pyramids. In the eighth O site, O(8) is bonded in a trigonal non-coplanar geometry to one Bi(2) and two equivalent Bi(3) atoms. is represented by the Crystallographic Information File (CIF) [CIF]
data_Mg(BiO2)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.747
_cell_length_b   8.747
_cell_length_c   10.169
_cell_angle_alpha   56.535
_cell_angle_beta   56.535
_cell_angle_gamma   22.374
_symmetry_Int_Tables_number   1
_cell_volume   244.958
_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  0.301  0.301  0.224  1.0
  Bi  Bi1  1  0.645  0.645  0.563  1.0
  Bi  Bi2  1  0.125  0.125  0.200  1.0
  Bi  Bi3  1  0.855  0.855  0.853  1.0
  Bi  Bi4  1  0.355  0.355  0.495  1.0
  O  O5  1  0.873  0.873  0.622  1.0
  O  O6  1  0.453  0.453  0.780  1.0
  O  O7  1  0.527  0.527  0.272  1.0
  O  O8  1  0.157  0.157  0.383  1.0
  O  O9  1  0.198  0.198  0.643  1.0
  O  O10  1  0.808  0.808  0.096  1.0
  O  O11  1  0.805  0.805  0.363  1.0
  O  O12  1  0.258  0.258  0.913  1.0
[/CIF]
.