The structure described by Mg5Cd crystallizes in the monoclinic Cm space group. There are five inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to one Mg(3), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), three equivalent Mg(5), and two equivalent Cd(1) atoms to form distorted MgMg10Cd2 cuboctahedra that share corners with six equivalent Mg(1)Mg10Cd2 cuboctahedra, corners with six equivalent Mg(4)Mg11Cd cuboctahedra, corners with six equivalent Mg(2)Mg9Cd3 cuboctahedra, edges with two equivalent Mg(5)Mg10Cd2 cuboctahedra, edges with three equivalent Mg(4)Mg11Cd cuboctahedra, edges with three equivalent Mg(2)Mg9Cd3 cuboctahedra, edges with four equivalent Mg(3)Mg10Cd2 cuboctahedra, edges with six equivalent Cd(1)Mg10Cd2 cuboctahedra, faces with two equivalent Mg(1)Mg10Cd2 cuboctahedra, faces with three equivalent Mg(4)Mg11Cd cuboctahedra, faces with three equivalent Mg(2)Mg9Cd3 cuboctahedra, faces with three equivalent Cd(1)Mg10Cd2 cuboctahedra, faces with four equivalent Mg(3)Mg10Cd2 cuboctahedra, and faces with five equivalent Mg(5)Mg10Cd2 cuboctahedra. In the second Mg site, Mg(2) is bonded to one Mg(5), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and three equivalent Cd(1) atoms to form distorted MgMg9Cd3 cuboctahedra that share corners with six equivalent Mg(1)Mg10Cd2 cuboctahedra, corners with six equivalent Mg(4)Mg11Cd cuboctahedra, corners with six equivalent Mg(2)Mg9Cd3 cuboctahedra, edges with two equivalent Cd(1)Mg10Cd2 cuboctahedra, edges with three equivalent Mg(1)Mg10Cd2 cuboctahedra, edges with three equivalent Mg(4)Mg11Cd cuboctahedra, edges with four equivalent Mg(5)Mg10Cd2 cuboctahedra, edges with six equivalent Mg(3)Mg10Cd2 cuboctahedra, faces with two equivalent Mg(2)Mg9Cd3 cuboctahedra, faces with three equivalent Mg(1)Mg10Cd2 cuboctahedra, faces with three equivalent Mg(3)Mg10Cd2 cuboctahedra, faces with three equivalent Mg(4)Mg11Cd cuboctahedra, faces with four equivalent Mg(5)Mg10Cd2 cuboctahedra, and faces with five equivalent Cd(1)Mg10Cd2 cuboctahedra. In the third Mg site, Mg(3) is bonded to one Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(5), three equivalent Mg(4), and two equivalent Cd(1) atoms to form distorted MgMg10Cd2 cuboctahedra that share corners with six equivalent Mg(3)Mg10Cd2 cuboctahedra, corners with six equivalent Mg(5)Mg10Cd2 cuboctahedra, corners with six equivalent Cd(1)Mg10Cd2 cuboctahedra, edges with two equivalent Mg(4)Mg11Cd cuboctahedra, edges with three equivalent Mg(5)Mg10Cd2 cuboctahedra, edges with three equivalent Cd(1)Mg10Cd2 cuboctahedra, edges with four equivalent Mg(1)Mg10Cd2 cuboctahedra, edges with six equivalent Mg(2)Mg9Cd3 cuboctahedra, faces with two equivalent Mg(3)Mg10Cd2 cuboctahedra, faces with three equivalent Mg(5)Mg10Cd2 cuboctahedra, faces with three equivalent Mg(2)Mg9Cd3 cuboctahedra, faces with three equivalent Cd(1)Mg10Cd2 cuboctahedra, faces with four equivalent Mg(1)Mg10Cd2 cuboctahedra, and faces with five equivalent Mg(4)Mg11Cd cuboctahedra. In the fourth Mg site, Mg(4) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), two equivalent Mg(5), three equivalent Mg(3), and one Cd(1) atom to form distorted MgMg11Cd cuboctahedra that share corners with six equivalent Mg(1)Mg10Cd2 cuboctahedra, corners with six equivalent Mg(4)Mg11Cd cuboctahedra, corners with six equivalent Mg(2)Mg9Cd3 cuboctahedra, edges with two equivalent Mg(3)Mg10Cd2 cuboctahedra, edges with three equivalent Mg(1)Mg10Cd2 cuboctahedra, edges with three equivalent Mg(2)Mg9Cd3 cuboctahedra, edges with four equivalent Cd(1)Mg10Cd2 cuboctahedra, edges with six equivalent Mg(5)Mg10Cd2 cuboctahedra, faces with two equivalent Mg(4)Mg11Cd cuboctahedra, faces with three equivalent Mg(1)Mg10Cd2 cuboctahedra, faces with three equivalent Mg(5)Mg10Cd2 cuboctahedra, faces with three equivalent Mg(2)Mg9Cd3 cuboctahedra, faces with four equivalent Cd(1)Mg10Cd2 cuboctahedra, and faces with five equivalent Mg(3)Mg10Cd2 cuboctahedra. In the fifth Mg site, Mg(5) is bonded to one Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(5), three equivalent Mg(1), and two equivalent Cd(1) atoms to form distorted MgMg10Cd2 cuboctahedra that share corners with six equivalent Mg(3)Mg10Cd2 cuboctahedra, corners with six equivalent Mg(5)Mg10Cd2 cuboctahedra, corners with six equivalent Cd(1)Mg10Cd2 cuboctahedra, edges with two equivalent Mg(1)Mg10Cd2 cuboctahedra, edges with three equivalent Mg(3)Mg10Cd2 cuboctahedra, edges with three equivalent Cd(1)Mg10Cd2 cuboctahedra, edges with four equivalent Mg(2)Mg9Cd3 cuboctahedra, edges with six equivalent Mg(4)Mg11Cd cuboctahedra, faces with two equivalent Mg(5)Mg10Cd2 cuboctahedra, faces with three equivalent Mg(3)Mg10Cd2 cuboctahedra, faces with three equivalent Mg(4)Mg11Cd cuboctahedra, faces with three equivalent Cd(1)Mg10Cd2 cuboctahedra, faces with four equivalent Mg(2)Mg9Cd3 cuboctahedra, and faces with five equivalent Mg(1)Mg10Cd2 cuboctahedra. Cd(1) is bonded to one Mg(4), two equivalent Mg(1), two equivalent Mg(3), two equivalent Mg(5), three equivalent Mg(2), and two equivalent Cd(1) atoms to form distorted CdMg10Cd2 cuboctahedra that share corners with six equivalent Mg(3)Mg10Cd2 cuboctahedra, corners with six equivalent Mg(5)Mg10Cd2 cuboctahedra, corners with six equivalent Cd(1)Mg10Cd2 cuboctahedra, edges with two equivalent Mg(2)Mg9Cd3 cuboctahedra, edges with three equivalent Mg(3)Mg10Cd2 cuboctahedra, edges with three equivalent Mg(5)Mg10Cd2 cuboctahedra, edges with four equivalent Mg(4)Mg11Cd cuboctahedra, edges with six equivalent Mg(1)Mg10Cd2 cuboctahedra, faces with two equivalent Cd(1)Mg10Cd2 cuboctahedra, faces with three equivalent Mg(1)Mg10Cd2 cuboctahedra, faces with three equivalent Mg(3)Mg10Cd2 cuboctahedra, faces with three equivalent Mg(5)Mg10Cd2 cuboctahedra, faces with four equivalent Mg(4)Mg11Cd cuboctahedra, and faces with five equivalent Mg(2)Mg9Cd3 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_Mg5Cd
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.991
_cell_length_b   5.991
_cell_length_c   7.529
_cell_angle_alpha   75.816
_cell_angle_beta   75.816
_cell_angle_gamma   30.230
_symmetry_Int_Tables_number   1
_cell_volume   131.579
_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  0.003  0.003  0.001  1.0
  Mg  Mg1  1  0.331  0.331  0.331  1.0
  Mg  Mg2  1  0.947  0.947  0.607  1.0
  Mg  Mg3  1  0.669  0.669  0.665  1.0
  Mg  Mg4  1  0.276  0.276  0.949  1.0
  Cd  Cd5  1  0.608  0.608  0.281  1.0
[/CIF]
.
The structure described by Mg5Cd crystallizes in the monoclinic Cm space group. There are five inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to one Mg(3), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), three equivalent Mg(5), and two equivalent Cd(1) atoms to form distorted MgMg10Cd2 cuboctahedra that share corners with six equivalent Mg(1)Mg10Cd2 cuboctahedra, corners with six equivalent Mg(4)Mg11Cd cuboctahedra, corners with six equivalent Mg(2)Mg9Cd3 cuboctahedra, edges with two equivalent Mg(5)Mg10Cd2 cuboctahedra, edges with three equivalent Mg(4)Mg11Cd cuboctahedra, edges with three equivalent Mg(2)Mg9Cd3 cuboctahedra, edges with four equivalent Mg(3)Mg10Cd2 cuboctahedra, edges with six equivalent Cd(1)Mg10Cd2 cuboctahedra, faces with two equivalent Mg(1)Mg10Cd2 cuboctahedra, faces with three equivalent Mg(4)Mg11Cd cuboctahedra, faces with three equivalent Mg(2)Mg9Cd3 cuboctahedra, faces with three equivalent Cd(1)Mg10Cd2 cuboctahedra, faces with four equivalent Mg(3)Mg10Cd2 cuboctahedra, and faces with five equivalent Mg(5)Mg10Cd2 cuboctahedra. In the second Mg site, Mg(2) is bonded to one Mg(5), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and three equivalent Cd(1) atoms to form distorted MgMg9Cd3 cuboctahedra that share corners with six equivalent Mg(1)Mg10Cd2 cuboctahedra, corners with six equivalent Mg(4)Mg11Cd cuboctahedra, corners with six equivalent Mg(2)Mg9Cd3 cuboctahedra, edges with two equivalent Cd(1)Mg10Cd2 cuboctahedra, edges with three equivalent Mg(1)Mg10Cd2 cuboctahedra, edges with three equivalent Mg(4)Mg11Cd cuboctahedra, edges with four equivalent Mg(5)Mg10Cd2 cuboctahedra, edges with six equivalent Mg(3)Mg10Cd2 cuboctahedra, faces with two equivalent Mg(2)Mg9Cd3 cuboctahedra, faces with three equivalent Mg(1)Mg10Cd2 cuboctahedra, faces with three equivalent Mg(3)Mg10Cd2 cuboctahedra, faces with three equivalent Mg(4)Mg11Cd cuboctahedra, faces with four equivalent Mg(5)Mg10Cd2 cuboctahedra, and faces with five equivalent Cd(1)Mg10Cd2 cuboctahedra. In the third Mg site, Mg(3) is bonded to one Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(5), three equivalent Mg(4), and two equivalent Cd(1) atoms to form distorted MgMg10Cd2 cuboctahedra that share corners with six equivalent Mg(3)Mg10Cd2 cuboctahedra, corners with six equivalent Mg(5)Mg10Cd2 cuboctahedra, corners with six equivalent Cd(1)Mg10Cd2 cuboctahedra, edges with two equivalent Mg(4)Mg11Cd cuboctahedra, edges with three equivalent Mg(5)Mg10Cd2 cuboctahedra, edges with three equivalent Cd(1)Mg10Cd2 cuboctahedra, edges with four equivalent Mg(1)Mg10Cd2 cuboctahedra, edges with six equivalent Mg(2)Mg9Cd3 cuboctahedra, faces with two equivalent Mg(3)Mg10Cd2 cuboctahedra, faces with three equivalent Mg(5)Mg10Cd2 cuboctahedra, faces with three equivalent Mg(2)Mg9Cd3 cuboctahedra, faces with three equivalent Cd(1)Mg10Cd2 cuboctahedra, faces with four equivalent Mg(1)Mg10Cd2 cuboctahedra, and faces with five equivalent Mg(4)Mg11Cd cuboctahedra. In the fourth Mg site, Mg(4) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), two equivalent Mg(5), three equivalent Mg(3), and one Cd(1) atom to form distorted MgMg11Cd cuboctahedra that share corners with six equivalent Mg(1)Mg10Cd2 cuboctahedra, corners with six equivalent Mg(4)Mg11Cd cuboctahedra, corners with six equivalent Mg(2)Mg9Cd3 cuboctahedra, edges with two equivalent Mg(3)Mg10Cd2 cuboctahedra, edges with three equivalent Mg(1)Mg10Cd2 cuboctahedra, edges with three equivalent Mg(2)Mg9Cd3 cuboctahedra, edges with four equivalent Cd(1)Mg10Cd2 cuboctahedra, edges with six equivalent Mg(5)Mg10Cd2 cuboctahedra, faces with two equivalent Mg(4)Mg11Cd cuboctahedra, faces with three equivalent Mg(1)Mg10Cd2 cuboctahedra, faces with three equivalent Mg(5)Mg10Cd2 cuboctahedra, faces with three equivalent Mg(2)Mg9Cd3 cuboctahedra, faces with four equivalent Cd(1)Mg10Cd2 cuboctahedra, and faces with five equivalent Mg(3)Mg10Cd2 cuboctahedra. In the fifth Mg site, Mg(5) is bonded to one Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(5), three equivalent Mg(1), and two equivalent Cd(1) atoms to form distorted MgMg10Cd2 cuboctahedra that share corners with six equivalent Mg(3)Mg10Cd2 cuboctahedra, corners with six equivalent Mg(5)Mg10Cd2 cuboctahedra, corners with six equivalent Cd(1)Mg10Cd2 cuboctahedra, edges with two equivalent Mg(1)Mg10Cd2 cuboctahedra, edges with three equivalent Mg(3)Mg10Cd2 cuboctahedra, edges with three equivalent Cd(1)Mg10Cd2 cuboctahedra, edges with four equivalent Mg(2)Mg9Cd3 cuboctahedra, edges with six equivalent Mg(4)Mg11Cd cuboctahedra, faces with two equivalent Mg(5)Mg10Cd2 cuboctahedra, faces with three equivalent Mg(3)Mg10Cd2 cuboctahedra, faces with three equivalent Mg(4)Mg11Cd cuboctahedra, faces with three equivalent Cd(1)Mg10Cd2 cuboctahedra, faces with four equivalent Mg(2)Mg9Cd3 cuboctahedra, and faces with five equivalent Mg(1)Mg10Cd2 cuboctahedra. Cd(1) is bonded to one Mg(4), two equivalent Mg(1), two equivalent Mg(3), two equivalent Mg(5), three equivalent Mg(2), and two equivalent Cd(1) atoms to form distorted CdMg10Cd2 cuboctahedra that share corners with six equivalent Mg(3)Mg10Cd2 cuboctahedra, corners with six equivalent Mg(5)Mg10Cd2 cuboctahedra, corners with six equivalent Cd(1)Mg10Cd2 cuboctahedra, edges with two equivalent Mg(2)Mg9Cd3 cuboctahedra, edges with three equivalent Mg(3)Mg10Cd2 cuboctahedra, edges with three equivalent Mg(5)Mg10Cd2 cuboctahedra, edges with four equivalent Mg(4)Mg11Cd cuboctahedra, edges with six equivalent Mg(1)Mg10Cd2 cuboctahedra, faces with two equivalent Cd(1)Mg10Cd2 cuboctahedra, faces with three equivalent Mg(1)Mg10Cd2 cuboctahedra, faces with three equivalent Mg(3)Mg10Cd2 cuboctahedra, faces with three equivalent Mg(5)Mg10Cd2 cuboctahedra, faces with four equivalent Mg(4)Mg11Cd cuboctahedra, and faces with five equivalent Mg(2)Mg9Cd3 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_Mg5Cd
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.991
_cell_length_b   5.991
_cell_length_c   7.529
_cell_angle_alpha   75.816
_cell_angle_beta   75.816
_cell_angle_gamma   30.230
_symmetry_Int_Tables_number   1
_cell_volume   131.579
_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  0.003  0.003  0.001  1.0
  Mg  Mg1  1  0.331  0.331  0.331  1.0
  Mg  Mg2  1  0.947  0.947  0.607  1.0
  Mg  Mg3  1  0.669  0.669  0.665  1.0
  Mg  Mg4  1  0.276  0.276  0.949  1.0
  Cd  Cd5  1  0.608  0.608  0.281  1.0
[/CIF]
.