The compound described by Mg6CdBi crystallizes in the orthorhombic Amm2 space group. There are four inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Cd(1), and two equivalent Bi(1) atoms to form distorted MgMg8Cd2Bi2 cuboctahedra that share corners with four equivalent Mg(2)Mg10Cd2 cuboctahedra, corners with four equivalent Cd(1)Mg10Bi2 cuboctahedra, corners with ten equivalent Mg(1)Mg8Cd2Bi2 cuboctahedra, edges with two equivalent Mg(2)Mg10Cd2 cuboctahedra, edges with two equivalent Mg(1)Mg8Cd2Bi2 cuboctahedra, edges with two equivalent Cd(1)Mg10Bi2 cuboctahedra, edges with four equivalent Mg(3)Mg8Cd2Bi2 cuboctahedra, edges with four equivalent Bi(1)Mg10Cd2 cuboctahedra, faces with two equivalent Mg(2)Mg10Cd2 cuboctahedra, faces with two equivalent Cd(1)Mg10Bi2 cuboctahedra, faces with two equivalent Bi(1)Mg10Cd2 cuboctahedra, faces with four equivalent Mg(1)Mg8Cd2Bi2 cuboctahedra, and faces with eight equivalent Mg(3)Mg8Cd2Bi2 cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(4), four equivalent Mg(1), four equivalent Mg(3), and two equivalent Cd(1) atoms to form distorted MgMg10Cd2 cuboctahedra that share corners with four equivalent Cd(1)Mg10Bi2 cuboctahedra, corners with six equivalent Mg(2)Mg10Cd2 cuboctahedra, corners with eight equivalent Mg(1)Mg8Cd2Bi2 cuboctahedra, edges with two equivalent Cd(1)Mg10Bi2 cuboctahedra, edges with four equivalent Mg(1)Mg8Cd2Bi2 cuboctahedra, edges with eight equivalent Mg(3)Mg8Cd2Bi2 cuboctahedra, faces with two equivalent Mg(2)Mg10Cd2 cuboctahedra, faces with two equivalent Cd(1)Mg10Bi2 cuboctahedra, faces with four equivalent Mg(1)Mg8Cd2Bi2 cuboctahedra, faces with four equivalent Mg(3)Mg8Cd2Bi2 cuboctahedra, and faces with six equivalent Bi(1)Mg10Cd2 cuboctahedra. In the third Mg site, Mg(3) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Cd(1), and two equivalent Bi(1) atoms to form distorted MgMg8Cd2Bi2 cuboctahedra that share corners with four equivalent Bi(1)Mg10Cd2 cuboctahedra, corners with ten equivalent Mg(3)Mg8Cd2Bi2 cuboctahedra, edges with two equivalent Mg(3)Mg8Cd2Bi2 cuboctahedra, edges with two equivalent Bi(1)Mg10Cd2 cuboctahedra, edges with four equivalent Mg(2)Mg10Cd2 cuboctahedra, edges with four equivalent Mg(1)Mg8Cd2Bi2 cuboctahedra, edges with four equivalent Cd(1)Mg10Bi2 cuboctahedra, faces with two equivalent Mg(2)Mg10Cd2 cuboctahedra, faces with two equivalent Cd(1)Mg10Bi2 cuboctahedra, faces with two equivalent Bi(1)Mg10Cd2 cuboctahedra, faces with four equivalent Mg(3)Mg8Cd2Bi2 cuboctahedra, and faces with eight equivalent Mg(1)Mg8Cd2Bi2 cuboctahedra. In the fourth Mg site, Mg(4) is bonded in a distorted linear geometry to two equivalent Mg(2), four equivalent Mg(1), four equivalent Mg(3), and two equivalent Bi(1) atoms. Cd(1) is bonded to two equivalent Mg(2), four equivalent Mg(1), four equivalent Mg(3), and two equivalent Bi(1) atoms to form CdMg10Bi2 cuboctahedra that share corners with four equivalent Mg(2)Mg10Cd2 cuboctahedra, corners with six equivalent Cd(1)Mg10Bi2 cuboctahedra, corners with eight equivalent Mg(1)Mg8Cd2Bi2 cuboctahedra, edges with two equivalent Mg(2)Mg10Cd2 cuboctahedra, edges with four equivalent Mg(1)Mg8Cd2Bi2 cuboctahedra, edges with four equivalent Bi(1)Mg10Cd2 cuboctahedra, edges with eight equivalent Mg(3)Mg8Cd2Bi2 cuboctahedra, faces with two equivalent Mg(2)Mg10Cd2 cuboctahedra, faces with two equivalent Cd(1)Mg10Bi2 cuboctahedra, faces with two equivalent Bi(1)Mg10Cd2 cuboctahedra, faces with four equivalent Mg(1)Mg8Cd2Bi2 cuboctahedra, and faces with four equivalent Mg(3)Mg8Cd2Bi2 cuboctahedra. Bi(1) is bonded to two equivalent Mg(4), four equivalent Mg(1), four equivalent Mg(3), and two equivalent Cd(1) atoms to form BiMg10Cd2 cuboctahedra that share corners with six equivalent Bi(1)Mg10Cd2 cuboctahedra, corners with eight equivalent Mg(3)Mg8Cd2Bi2 cuboctahedra, edges with four equivalent Mg(3)Mg8Cd2Bi2 cuboctahedra, edges with four equivalent Cd(1)Mg10Bi2 cuboctahedra, edges with eight equivalent Mg(1)Mg8Cd2Bi2 cuboctahedra, faces with two equivalent Cd(1)Mg10Bi2 cuboctahedra, faces with two equivalent Bi(1)Mg10Cd2 cuboctahedra, faces with four equivalent Mg(1)Mg8Cd2Bi2 cuboctahedra, faces with four equivalent Mg(3)Mg8Cd2Bi2 cuboctahedra, and faces with six equivalent Mg(2)Mg10Cd2 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_Mg6CdBi
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.418
_cell_length_b   6.280
_cell_length_c   6.419
_cell_angle_alpha   119.290
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   190.480
_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
  Bi  Bi0  1  0.500  0.659  0.318  1.0
  Cd  Cd1  1  1.000  0.848  0.696  1.0
  Mg  Mg2  1  1.000  0.331  0.168  1.0
  Mg  Mg3  1  1.000  0.836  0.168  1.0
  Mg  Mg4  1  1.000  0.332  0.664  1.0
  Mg  Mg5  1  0.500  0.162  0.826  1.0
  Mg  Mg6  1  0.500  0.664  0.826  1.0
  Mg  Mg7  1  0.500  0.168  0.335  1.0
[/CIF]
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The compound described by Mg6CdBi crystallizes in the orthorhombic Amm2 space group. There are four inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Cd(1), and two equivalent Bi(1) atoms to form distorted MgMg8Cd2Bi2 cuboctahedra that share corners with four equivalent Mg(2)Mg10Cd2 cuboctahedra, corners with four equivalent Cd(1)Mg10Bi2 cuboctahedra, corners with ten equivalent Mg(1)Mg8Cd2Bi2 cuboctahedra, edges with two equivalent Mg(2)Mg10Cd2 cuboctahedra, edges with two equivalent Mg(1)Mg8Cd2Bi2 cuboctahedra, edges with two equivalent Cd(1)Mg10Bi2 cuboctahedra, edges with four equivalent Mg(3)Mg8Cd2Bi2 cuboctahedra, edges with four equivalent Bi(1)Mg10Cd2 cuboctahedra, faces with two equivalent Mg(2)Mg10Cd2 cuboctahedra, faces with two equivalent Cd(1)Mg10Bi2 cuboctahedra, faces with two equivalent Bi(1)Mg10Cd2 cuboctahedra, faces with four equivalent Mg(1)Mg8Cd2Bi2 cuboctahedra, and faces with eight equivalent Mg(3)Mg8Cd2Bi2 cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(4), four equivalent Mg(1), four equivalent Mg(3), and two equivalent Cd(1) atoms to form distorted MgMg10Cd2 cuboctahedra that share corners with four equivalent Cd(1)Mg10Bi2 cuboctahedra, corners with six equivalent Mg(2)Mg10Cd2 cuboctahedra, corners with eight equivalent Mg(1)Mg8Cd2Bi2 cuboctahedra, edges with two equivalent Cd(1)Mg10Bi2 cuboctahedra, edges with four equivalent Mg(1)Mg8Cd2Bi2 cuboctahedra, edges with eight equivalent Mg(3)Mg8Cd2Bi2 cuboctahedra, faces with two equivalent Mg(2)Mg10Cd2 cuboctahedra, faces with two equivalent Cd(1)Mg10Bi2 cuboctahedra, faces with four equivalent Mg(1)Mg8Cd2Bi2 cuboctahedra, faces with four equivalent Mg(3)Mg8Cd2Bi2 cuboctahedra, and faces with six equivalent Bi(1)Mg10Cd2 cuboctahedra. In the third Mg site, Mg(3) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Cd(1), and two equivalent Bi(1) atoms to form distorted MgMg8Cd2Bi2 cuboctahedra that share corners with four equivalent Bi(1)Mg10Cd2 cuboctahedra, corners with ten equivalent Mg(3)Mg8Cd2Bi2 cuboctahedra, edges with two equivalent Mg(3)Mg8Cd2Bi2 cuboctahedra, edges with two equivalent Bi(1)Mg10Cd2 cuboctahedra, edges with four equivalent Mg(2)Mg10Cd2 cuboctahedra, edges with four equivalent Mg(1)Mg8Cd2Bi2 cuboctahedra, edges with four equivalent Cd(1)Mg10Bi2 cuboctahedra, faces with two equivalent Mg(2)Mg10Cd2 cuboctahedra, faces with two equivalent Cd(1)Mg10Bi2 cuboctahedra, faces with two equivalent Bi(1)Mg10Cd2 cuboctahedra, faces with four equivalent Mg(3)Mg8Cd2Bi2 cuboctahedra, and faces with eight equivalent Mg(1)Mg8Cd2Bi2 cuboctahedra. In the fourth Mg site, Mg(4) is bonded in a distorted linear geometry to two equivalent Mg(2), four equivalent Mg(1), four equivalent Mg(3), and two equivalent Bi(1) atoms. Cd(1) is bonded to two equivalent Mg(2), four equivalent Mg(1), four equivalent Mg(3), and two equivalent Bi(1) atoms to form CdMg10Bi2 cuboctahedra that share corners with four equivalent Mg(2)Mg10Cd2 cuboctahedra, corners with six equivalent Cd(1)Mg10Bi2 cuboctahedra, corners with eight equivalent Mg(1)Mg8Cd2Bi2 cuboctahedra, edges with two equivalent Mg(2)Mg10Cd2 cuboctahedra, edges with four equivalent Mg(1)Mg8Cd2Bi2 cuboctahedra, edges with four equivalent Bi(1)Mg10Cd2 cuboctahedra, edges with eight equivalent Mg(3)Mg8Cd2Bi2 cuboctahedra, faces with two equivalent Mg(2)Mg10Cd2 cuboctahedra, faces with two equivalent Cd(1)Mg10Bi2 cuboctahedra, faces with two equivalent Bi(1)Mg10Cd2 cuboctahedra, faces with four equivalent Mg(1)Mg8Cd2Bi2 cuboctahedra, and faces with four equivalent Mg(3)Mg8Cd2Bi2 cuboctahedra. Bi(1) is bonded to two equivalent Mg(4), four equivalent Mg(1), four equivalent Mg(3), and two equivalent Cd(1) atoms to form BiMg10Cd2 cuboctahedra that share corners with six equivalent Bi(1)Mg10Cd2 cuboctahedra, corners with eight equivalent Mg(3)Mg8Cd2Bi2 cuboctahedra, edges with four equivalent Mg(3)Mg8Cd2Bi2 cuboctahedra, edges with four equivalent Cd(1)Mg10Bi2 cuboctahedra, edges with eight equivalent Mg(1)Mg8Cd2Bi2 cuboctahedra, faces with two equivalent Cd(1)Mg10Bi2 cuboctahedra, faces with two equivalent Bi(1)Mg10Cd2 cuboctahedra, faces with four equivalent Mg(1)Mg8Cd2Bi2 cuboctahedra, faces with four equivalent Mg(3)Mg8Cd2Bi2 cuboctahedra, and faces with six equivalent Mg(2)Mg10Cd2 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_Mg6CdBi
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.418
_cell_length_b   6.280
_cell_length_c   6.419
_cell_angle_alpha   119.290
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   190.480
_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
  Bi  Bi0  1  0.500  0.659  0.318  1.0
  Cd  Cd1  1  1.000  0.848  0.696  1.0
  Mg  Mg2  1  1.000  0.331  0.168  1.0
  Mg  Mg3  1  1.000  0.836  0.168  1.0
  Mg  Mg4  1  1.000  0.332  0.664  1.0
  Mg  Mg5  1  0.500  0.162  0.826  1.0
  Mg  Mg6  1  0.500  0.664  0.826  1.0
  Mg  Mg7  1  0.500  0.168  0.335  1.0
[/CIF]
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