The compound described by Mg6CdAl crystallizes in the orthorhombic Amm2 space group. There are seven 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 Al(1) atoms to form distorted MgMg8Al2Cd2 cuboctahedra that share corners with four equivalent Cd(1)Mg10Al2 cuboctahedra; corners with four equivalent Al(1)Mg10Cd2 cuboctahedra; corners with ten Mg(1,1)Mg8Al2Cd2 cuboctahedra; edges with two equivalent Mg(1)Mg8Al2Cd2 cuboctahedra; edges with two equivalent Cd(1)Mg10Al2 cuboctahedra; edges with two equivalent Al(1)Mg10Cd2 cuboctahedra; edges with four equivalent Mg(3)Mg10Al2 cuboctahedra; edges with four equivalent Mg(4)Mg10Cd2 cuboctahedra; edges with four equivalent Mg(2)Mg8Al2Cd2 cuboctahedra; faces with two equivalent Mg(3)Mg10Al2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra; faces with two equivalent Cd(1)Mg10Al2 cuboctahedra; faces with two equivalent Al(1)Mg10Cd2 cuboctahedra; faces with four Mg(1,1)Mg8Al2Cd2 cuboctahedra; and faces with eight Mg(2,2)Mg8Al2Cd2 cuboctahedra. In the second 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 Al(1) atoms to form distorted MgMg8Al2Cd2 cuboctahedra that share corners with four equivalent Cd(1)Mg10Al2 cuboctahedra; corners with four equivalent Al(1)Mg10Cd2 cuboctahedra; corners with ten Mg(1,1)Mg8Al2Cd2 cuboctahedra; edges with two equivalent Mg(1)Mg8Al2Cd2 cuboctahedra; edges with two equivalent Cd(1)Mg10Al2 cuboctahedra; edges with two equivalent Al(1)Mg10Cd2 cuboctahedra; edges with four equivalent Mg(3)Mg10Al2 cuboctahedra; edges with four equivalent Mg(4)Mg10Cd2 cuboctahedra; edges with four equivalent Mg(2)Mg8Al2Cd2 cuboctahedra; faces with two equivalent Mg(3)Mg10Al2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra; faces with two equivalent Cd(1)Mg10Al2 cuboctahedra; faces with two equivalent Al(1)Mg10Cd2 cuboctahedra; faces with four Mg(1,1)Mg8Al2Cd2 cuboctahedra; and faces with eight Mg(2,2,2)Mg8Al2Cd2 cuboctahedra. In the third Mg site, Mg(2) 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 Al(1) atoms to form distorted MgMg8Al2Cd2 cuboctahedra that share corners with four equivalent Mg(3)Mg10Al2 cuboctahedra; corners with four equivalent Mg(4)Mg10Cd2 cuboctahedra; corners with ten Mg(2,2,2)Mg8Al2Cd2 cuboctahedra; edges with two equivalent Mg(3)Mg10Al2 cuboctahedra; edges with two equivalent Mg(4)Mg10Cd2 cuboctahedra; edges with two equivalent Mg(2)Mg8Al2Cd2 cuboctahedra; edges with four equivalent Mg(1)Mg8Al2Cd2 cuboctahedra; edges with four equivalent Cd(1)Mg10Al2 cuboctahedra; edges with four equivalent Al(1)Mg10Cd2 cuboctahedra; faces with two equivalent Mg(3)Mg10Al2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra; faces with two equivalent Cd(1)Mg10Al2 cuboctahedra; faces with two equivalent Al(1)Mg10Cd2 cuboctahedra; faces with four Mg(2,2)Mg8Al2Cd2 cuboctahedra; and faces with eight Mg(1,1)Mg8Al2Cd2 cuboctahedra. In the fourth Mg site, Mg(2) 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 Al(1) atoms to form distorted MgMg8Al2Cd2 cuboctahedra that share corners with four equivalent Mg(3)Mg10Al2 cuboctahedra; corners with four equivalent Mg(4)Mg10Cd2 cuboctahedra; corners with ten Mg(2,2)Mg8Al2Cd2 cuboctahedra; edges with two equivalent Mg(3)Mg10Al2 cuboctahedra; edges with two equivalent Mg(4)Mg10Cd2 cuboctahedra; edges with two equivalent Mg(2)Mg8Al2Cd2 cuboctahedra; edges with four equivalent Mg(1)Mg8Al2Cd2 cuboctahedra; edges with four equivalent Cd(1)Mg10Al2 cuboctahedra; edges with four equivalent Al(1)Mg10Cd2 cuboctahedra; faces with two equivalent Mg(3)Mg10Al2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra; faces with two equivalent Cd(1)Mg10Al2 cuboctahedra; faces with two equivalent Al(1)Mg10Cd2 cuboctahedra; faces with four Mg(2,2)Mg8Al2Cd2 cuboctahedra; and faces with eight Mg(1,1)Mg8Al2Cd2 cuboctahedra. In the fifth Mg site, Mg(3) is bonded to two equivalent Mg(4); four Mg(1,1); four Mg(2,2,2); and two equivalent Al(1) atoms to form distorted MgMg10Al2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Cd2 cuboctahedra; corners with six equivalent Mg(3)Mg10Al2 cuboctahedra; corners with eight Mg(2,2,2)Mg8Al2Cd2 cuboctahedra; edges with two equivalent Mg(4)Mg10Cd2 cuboctahedra; edges with four Mg(2,2,2)Mg8Al2Cd2 cuboctahedra; edges with four equivalent Al(1)Mg10Cd2 cuboctahedra; edges with eight Mg(1,1)Mg8Al2Cd2 cuboctahedra; faces with two equivalent Mg(3)Mg10Al2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra; faces with two equivalent Al(1)Mg10Cd2 cuboctahedra; faces with four Mg(1,1)Mg8Al2Cd2 cuboctahedra; faces with four Mg(2,2,2)Mg8Al2Cd2 cuboctahedra; and faces with six equivalent Cd(1)Mg10Al2 cuboctahedra. In the sixth Mg site, Mg(4) is bonded to two equivalent Mg(3); four Mg(1,1); four Mg(2,2,2); and two equivalent Cd(1) atoms to form distorted MgMg10Cd2 cuboctahedra that share corners with four equivalent Mg(3)Mg10Al2 cuboctahedra; corners with six equivalent Mg(4)Mg10Cd2 cuboctahedra; corners with eight Mg(2,2,2)Mg8Al2Cd2 cuboctahedra; edges with two equivalent Mg(3)Mg10Al2 cuboctahedra; edges with four Mg(2,2,2)Mg8Al2Cd2 cuboctahedra; edges with four equivalent Cd(1)Mg10Al2 cuboctahedra; edges with eight Mg(1,1)Mg8Al2Cd2 cuboctahedra; faces with two equivalent Mg(3)Mg10Al2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra; faces with two equivalent Cd(1)Mg10Al2 cuboctahedra; faces with four Mg(1,1)Mg8Al2Cd2 cuboctahedra; faces with four Mg(2,2,2)Mg8Al2Cd2 cuboctahedra; and faces with six equivalent Al(1)Mg10Cd2 cuboctahedra. In the seventh Mg site, Mg(2) 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 Al(1) atoms to form distorted MgMg8Al2Cd2 cuboctahedra that share corners with four equivalent Mg(3)Mg10Al2 cuboctahedra; corners with four equivalent Mg(4)Mg10Cd2 cuboctahedra; corners with ten Mg(2,2)Mg8Al2Cd2 cuboctahedra; edges with two equivalent Mg(3)Mg10Al2 cuboctahedra; edges with two equivalent Mg(4)Mg10Cd2 cuboctahedra; edges with two equivalent Mg(2)Mg8Al2Cd2 cuboctahedra; edges with four equivalent Mg(1)Mg8Al2Cd2 cuboctahedra; edges with four equivalent Cd(1)Mg10Al2 cuboctahedra; edges with four equivalent Al(1)Mg10Cd2 cuboctahedra; faces with two equivalent Mg(3)Mg10Al2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra; faces with two equivalent Cd(1)Mg10Al2 cuboctahedra; faces with two equivalent Al(1)Mg10Cd2 cuboctahedra; faces with four Mg(2,2)Mg8Al2Cd2 cuboctahedra; and faces with eight Mg(1,1)Mg8Al2Cd2 cuboctahedra. Cd(1) is bonded to two equivalent Mg(4); four Mg(1,1); four Mg(2,2); and two equivalent Al(1) atoms to form CdMg10Al2 cuboctahedra that share corners with four equivalent Al(1)Mg10Cd2 cuboctahedra; corners with six equivalent Cd(1)Mg10Al2 cuboctahedra; corners with eight Mg(1,1)Mg8Al2Cd2 cuboctahedra; edges with two equivalent Al(1)Mg10Cd2 cuboctahedra; edges with four equivalent Mg(4)Mg10Cd2 cuboctahedra; edges with four Mg(1,1)Mg8Al2Cd2 cuboctahedra; edges with eight Mg(2,2,2)Mg8Al2Cd2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra; faces with two equivalent Cd(1)Mg10Al2 cuboctahedra; faces with two equivalent Al(1)Mg10Cd2 cuboctahedra; faces with four Mg(1,1)Mg8Al2Cd2 cuboctahedra; faces with four Mg(2,2)Mg8Al2Cd2 cuboctahedra; and faces with six equivalent Mg(3)Mg10Al2 cuboctahedra. Al(1) is bonded to two equivalent Mg(3); four Mg(1,1); four Mg(2,2); and two equivalent Cd(1) atoms to form AlMg10Cd2 cuboctahedra that share corners with four equivalent Cd(1)Mg10Al2 cuboctahedra; corners with six equivalent Al(1)Mg10Cd2 cuboctahedra; corners with eight Mg(1,1)Mg8Al2Cd2 cuboctahedra; edges with two equivalent Cd(1)Mg10Al2 cuboctahedra; edges with four equivalent Mg(3)Mg10Al2 cuboctahedra; edges with four Mg(1,1)Mg8Al2Cd2 cuboctahedra; edges with eight Mg(2,2,2)Mg8Al2Cd2 cuboctahedra; faces with two equivalent Mg(3)Mg10Al2 cuboctahedra; faces with two equivalent Cd(1)Mg10Al2 cuboctahedra; faces with two equivalent Al(1)Mg10Cd2 cuboctahedra; faces with four Mg(1,1)Mg8Al2Cd2 cuboctahedra; faces with four Mg(2,2)Mg8Al2Cd2 cuboctahedra; and faces with six equivalent Mg(4)Mg10Cd2 cuboctahedra. is represented by the CIF file [CIF]
data_Mg6AlCd
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.024
_cell_length_b   6.280
_cell_length_c   6.280
_cell_angle_alpha   119.095
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   173.130
_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
  Al  Al0  1  0.500  0.167  0.833  1.0
  Cd  Cd1  1  0.500  0.667  0.333  1.0
  Mg  Mg2  1  0.500  0.167  0.334  1.0
  Mg  Mg3  1  0.500  0.666  0.833  1.0
  Mg  Mg4  1  0.000  0.331  0.162  1.0
  Mg  Mg5  1  0.000  0.838  0.669  1.0
  Mg  Mg6  1  0.000  0.331  0.669  1.0
  Mg  Mg7  1  0.000  0.833  0.167  1.0
[/CIF]
.
The compound described by Mg6CdAl crystallizes in the orthorhombic Amm2 space group. There are seven 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 Al(1) atoms to form distorted MgMg8Al2Cd2 cuboctahedra that share corners with four equivalent Cd(1)Mg10Al2 cuboctahedra; corners with four equivalent Al(1)Mg10Cd2 cuboctahedra; corners with ten Mg(1,1)Mg8Al2Cd2 cuboctahedra; edges with two equivalent Mg(1)Mg8Al2Cd2 cuboctahedra; edges with two equivalent Cd(1)Mg10Al2 cuboctahedra; edges with two equivalent Al(1)Mg10Cd2 cuboctahedra; edges with four equivalent Mg(3)Mg10Al2 cuboctahedra; edges with four equivalent Mg(4)Mg10Cd2 cuboctahedra; edges with four equivalent Mg(2)Mg8Al2Cd2 cuboctahedra; faces with two equivalent Mg(3)Mg10Al2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra; faces with two equivalent Cd(1)Mg10Al2 cuboctahedra; faces with two equivalent Al(1)Mg10Cd2 cuboctahedra; faces with four Mg(1,1)Mg8Al2Cd2 cuboctahedra; and faces with eight Mg(2,2)Mg8Al2Cd2 cuboctahedra. In the second 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 Al(1) atoms to form distorted MgMg8Al2Cd2 cuboctahedra that share corners with four equivalent Cd(1)Mg10Al2 cuboctahedra; corners with four equivalent Al(1)Mg10Cd2 cuboctahedra; corners with ten Mg(1,1)Mg8Al2Cd2 cuboctahedra; edges with two equivalent Mg(1)Mg8Al2Cd2 cuboctahedra; edges with two equivalent Cd(1)Mg10Al2 cuboctahedra; edges with two equivalent Al(1)Mg10Cd2 cuboctahedra; edges with four equivalent Mg(3)Mg10Al2 cuboctahedra; edges with four equivalent Mg(4)Mg10Cd2 cuboctahedra; edges with four equivalent Mg(2)Mg8Al2Cd2 cuboctahedra; faces with two equivalent Mg(3)Mg10Al2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra; faces with two equivalent Cd(1)Mg10Al2 cuboctahedra; faces with two equivalent Al(1)Mg10Cd2 cuboctahedra; faces with four Mg(1,1)Mg8Al2Cd2 cuboctahedra; and faces with eight Mg(2,2,2)Mg8Al2Cd2 cuboctahedra. In the third Mg site, Mg(2) 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 Al(1) atoms to form distorted MgMg8Al2Cd2 cuboctahedra that share corners with four equivalent Mg(3)Mg10Al2 cuboctahedra; corners with four equivalent Mg(4)Mg10Cd2 cuboctahedra; corners with ten Mg(2,2,2)Mg8Al2Cd2 cuboctahedra; edges with two equivalent Mg(3)Mg10Al2 cuboctahedra; edges with two equivalent Mg(4)Mg10Cd2 cuboctahedra; edges with two equivalent Mg(2)Mg8Al2Cd2 cuboctahedra; edges with four equivalent Mg(1)Mg8Al2Cd2 cuboctahedra; edges with four equivalent Cd(1)Mg10Al2 cuboctahedra; edges with four equivalent Al(1)Mg10Cd2 cuboctahedra; faces with two equivalent Mg(3)Mg10Al2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra; faces with two equivalent Cd(1)Mg10Al2 cuboctahedra; faces with two equivalent Al(1)Mg10Cd2 cuboctahedra; faces with four Mg(2,2)Mg8Al2Cd2 cuboctahedra; and faces with eight Mg(1,1)Mg8Al2Cd2 cuboctahedra. In the fourth Mg site, Mg(2) 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 Al(1) atoms to form distorted MgMg8Al2Cd2 cuboctahedra that share corners with four equivalent Mg(3)Mg10Al2 cuboctahedra; corners with four equivalent Mg(4)Mg10Cd2 cuboctahedra; corners with ten Mg(2,2)Mg8Al2Cd2 cuboctahedra; edges with two equivalent Mg(3)Mg10Al2 cuboctahedra; edges with two equivalent Mg(4)Mg10Cd2 cuboctahedra; edges with two equivalent Mg(2)Mg8Al2Cd2 cuboctahedra; edges with four equivalent Mg(1)Mg8Al2Cd2 cuboctahedra; edges with four equivalent Cd(1)Mg10Al2 cuboctahedra; edges with four equivalent Al(1)Mg10Cd2 cuboctahedra; faces with two equivalent Mg(3)Mg10Al2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra; faces with two equivalent Cd(1)Mg10Al2 cuboctahedra; faces with two equivalent Al(1)Mg10Cd2 cuboctahedra; faces with four Mg(2,2)Mg8Al2Cd2 cuboctahedra; and faces with eight Mg(1,1)Mg8Al2Cd2 cuboctahedra. In the fifth Mg site, Mg(3) is bonded to two equivalent Mg(4); four Mg(1,1); four Mg(2,2,2); and two equivalent Al(1) atoms to form distorted MgMg10Al2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Cd2 cuboctahedra; corners with six equivalent Mg(3)Mg10Al2 cuboctahedra; corners with eight Mg(2,2,2)Mg8Al2Cd2 cuboctahedra; edges with two equivalent Mg(4)Mg10Cd2 cuboctahedra; edges with four Mg(2,2,2)Mg8Al2Cd2 cuboctahedra; edges with four equivalent Al(1)Mg10Cd2 cuboctahedra; edges with eight Mg(1,1)Mg8Al2Cd2 cuboctahedra; faces with two equivalent Mg(3)Mg10Al2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra; faces with two equivalent Al(1)Mg10Cd2 cuboctahedra; faces with four Mg(1,1)Mg8Al2Cd2 cuboctahedra; faces with four Mg(2,2,2)Mg8Al2Cd2 cuboctahedra; and faces with six equivalent Cd(1)Mg10Al2 cuboctahedra. In the sixth Mg site, Mg(4) is bonded to two equivalent Mg(3); four Mg(1,1); four Mg(2,2,2); and two equivalent Cd(1) atoms to form distorted MgMg10Cd2 cuboctahedra that share corners with four equivalent Mg(3)Mg10Al2 cuboctahedra; corners with six equivalent Mg(4)Mg10Cd2 cuboctahedra; corners with eight Mg(2,2,2)Mg8Al2Cd2 cuboctahedra; edges with two equivalent Mg(3)Mg10Al2 cuboctahedra; edges with four Mg(2,2,2)Mg8Al2Cd2 cuboctahedra; edges with four equivalent Cd(1)Mg10Al2 cuboctahedra; edges with eight Mg(1,1)Mg8Al2Cd2 cuboctahedra; faces with two equivalent Mg(3)Mg10Al2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra; faces with two equivalent Cd(1)Mg10Al2 cuboctahedra; faces with four Mg(1,1)Mg8Al2Cd2 cuboctahedra; faces with four Mg(2,2,2)Mg8Al2Cd2 cuboctahedra; and faces with six equivalent Al(1)Mg10Cd2 cuboctahedra. In the seventh Mg site, Mg(2) 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 Al(1) atoms to form distorted MgMg8Al2Cd2 cuboctahedra that share corners with four equivalent Mg(3)Mg10Al2 cuboctahedra; corners with four equivalent Mg(4)Mg10Cd2 cuboctahedra; corners with ten Mg(2,2)Mg8Al2Cd2 cuboctahedra; edges with two equivalent Mg(3)Mg10Al2 cuboctahedra; edges with two equivalent Mg(4)Mg10Cd2 cuboctahedra; edges with two equivalent Mg(2)Mg8Al2Cd2 cuboctahedra; edges with four equivalent Mg(1)Mg8Al2Cd2 cuboctahedra; edges with four equivalent Cd(1)Mg10Al2 cuboctahedra; edges with four equivalent Al(1)Mg10Cd2 cuboctahedra; faces with two equivalent Mg(3)Mg10Al2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra; faces with two equivalent Cd(1)Mg10Al2 cuboctahedra; faces with two equivalent Al(1)Mg10Cd2 cuboctahedra; faces with four Mg(2,2)Mg8Al2Cd2 cuboctahedra; and faces with eight Mg(1,1)Mg8Al2Cd2 cuboctahedra. Cd(1) is bonded to two equivalent Mg(4); four Mg(1,1); four Mg(2,2); and two equivalent Al(1) atoms to form CdMg10Al2 cuboctahedra that share corners with four equivalent Al(1)Mg10Cd2 cuboctahedra; corners with six equivalent Cd(1)Mg10Al2 cuboctahedra; corners with eight Mg(1,1)Mg8Al2Cd2 cuboctahedra; edges with two equivalent Al(1)Mg10Cd2 cuboctahedra; edges with four equivalent Mg(4)Mg10Cd2 cuboctahedra; edges with four Mg(1,1)Mg8Al2Cd2 cuboctahedra; edges with eight Mg(2,2,2)Mg8Al2Cd2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra; faces with two equivalent Cd(1)Mg10Al2 cuboctahedra; faces with two equivalent Al(1)Mg10Cd2 cuboctahedra; faces with four Mg(1,1)Mg8Al2Cd2 cuboctahedra; faces with four Mg(2,2)Mg8Al2Cd2 cuboctahedra; and faces with six equivalent Mg(3)Mg10Al2 cuboctahedra. Al(1) is bonded to two equivalent Mg(3); four Mg(1,1); four Mg(2,2); and two equivalent Cd(1) atoms to form AlMg10Cd2 cuboctahedra that share corners with four equivalent Cd(1)Mg10Al2 cuboctahedra; corners with six equivalent Al(1)Mg10Cd2 cuboctahedra; corners with eight Mg(1,1)Mg8Al2Cd2 cuboctahedra; edges with two equivalent Cd(1)Mg10Al2 cuboctahedra; edges with four equivalent Mg(3)Mg10Al2 cuboctahedra; edges with four Mg(1,1)Mg8Al2Cd2 cuboctahedra; edges with eight Mg(2,2,2)Mg8Al2Cd2 cuboctahedra; faces with two equivalent Mg(3)Mg10Al2 cuboctahedra; faces with two equivalent Cd(1)Mg10Al2 cuboctahedra; faces with two equivalent Al(1)Mg10Cd2 cuboctahedra; faces with four Mg(1,1)Mg8Al2Cd2 cuboctahedra; faces with four Mg(2,2)Mg8Al2Cd2 cuboctahedra; and faces with six equivalent Mg(4)Mg10Cd2 cuboctahedra. is represented by the CIF file [CIF]
data_Mg6AlCd
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.024
_cell_length_b   6.280
_cell_length_c   6.280
_cell_angle_alpha   119.095
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   173.130
_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
  Al  Al0  1  0.500  0.167  0.833  1.0
  Cd  Cd1  1  0.500  0.667  0.333  1.0
  Mg  Mg2  1  0.500  0.167  0.334  1.0
  Mg  Mg3  1  0.500  0.666  0.833  1.0
  Mg  Mg4  1  0.000  0.331  0.162  1.0
  Mg  Mg5  1  0.000  0.838  0.669  1.0
  Mg  Mg6  1  0.000  0.331  0.669  1.0
  Mg  Mg7  1  0.000  0.833  0.167  1.0
[/CIF]
.