The material described by Mg3Cd crystallizes in the orthorhombic Imm2 space group. There are two inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(1), six equivalent Mg(2), and four equivalent Cd(1) atoms to form distorted MgMg8Cd4 cuboctahedra that share corners with four equivalent Cd(1)Mg10Cd2 cuboctahedra, corners with fourteen equivalent Mg(1)Mg8Cd4 cuboctahedra, edges with two equivalent Mg(1)Mg8Cd4 cuboctahedra, edges with four equivalent Cd(1)Mg10Cd2 cuboctahedra, edges with twelve equivalent Mg(2)Mg9Cd3 cuboctahedra, faces with two equivalent Mg(1)Mg8Cd4 cuboctahedra, faces with six equivalent Cd(1)Mg10Cd2 cuboctahedra, and faces with twelve equivalent Mg(2)Mg9Cd3 cuboctahedra. In the second Mg site, Mg(2) is bonded to three equivalent Mg(1), six equivalent Mg(2), and three equivalent Cd(1) atoms to form distorted MgMg9Cd3 cuboctahedra that share corners with eighteen equivalent Mg(2)Mg9Cd3 cuboctahedra, edges with six equivalent Mg(1)Mg8Cd4 cuboctahedra, edges with six equivalent Mg(2)Mg9Cd3 cuboctahedra, edges with six equivalent Cd(1)Mg10Cd2 cuboctahedra, faces with six equivalent Mg(1)Mg8Cd4 cuboctahedra, faces with six equivalent Cd(1)Mg10Cd2 cuboctahedra, and faces with eight equivalent Mg(2)Mg9Cd3 cuboctahedra. Cd(1) is bonded to four equivalent Mg(1), six equivalent Mg(2), and two equivalent Cd(1) atoms to form distorted CdMg10Cd2 cuboctahedra that share corners with four equivalent Mg(1)Mg8Cd4 cuboctahedra, corners with fourteen equivalent Cd(1)Mg10Cd2 cuboctahedra, edges with two equivalent Cd(1)Mg10Cd2 cuboctahedra, edges with four equivalent Mg(1)Mg8Cd4 cuboctahedra, edges with twelve equivalent Mg(2)Mg9Cd3 cuboctahedra, faces with two equivalent Cd(1)Mg10Cd2 cuboctahedra, faces with six equivalent Mg(1)Mg8Cd4 cuboctahedra, and faces with twelve equivalent Mg(2)Mg9Cd3 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_Mg3Cd
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.925
_cell_length_b   5.925
_cell_length_c   5.925
_cell_angle_alpha   148.730
_cell_angle_beta   125.995
_cell_angle_gamma   63.740
_symmetry_Int_Tables_number   1
_cell_volume   86.453
_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  0.842  0.500  0.342  1.0
  Mg  Mg1  1  0.252  0.255  0.996  1.0
  Mg  Mg2  1  0.741  0.745  0.996  1.0
  Cd  Cd3  1  0.332  0.000  0.332  1.0
[/CIF]
.
The material described by Mg3Cd crystallizes in the orthorhombic Imm2 space group. There are two inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(1), six equivalent Mg(2), and four equivalent Cd(1) atoms to form distorted MgMg8Cd4 cuboctahedra that share corners with four equivalent Cd(1)Mg10Cd2 cuboctahedra, corners with fourteen equivalent Mg(1)Mg8Cd4 cuboctahedra, edges with two equivalent Mg(1)Mg8Cd4 cuboctahedra, edges with four equivalent Cd(1)Mg10Cd2 cuboctahedra, edges with twelve equivalent Mg(2)Mg9Cd3 cuboctahedra, faces with two equivalent Mg(1)Mg8Cd4 cuboctahedra, faces with six equivalent Cd(1)Mg10Cd2 cuboctahedra, and faces with twelve equivalent Mg(2)Mg9Cd3 cuboctahedra. In the second Mg site, Mg(2) is bonded to three equivalent Mg(1), six equivalent Mg(2), and three equivalent Cd(1) atoms to form distorted MgMg9Cd3 cuboctahedra that share corners with eighteen equivalent Mg(2)Mg9Cd3 cuboctahedra, edges with six equivalent Mg(1)Mg8Cd4 cuboctahedra, edges with six equivalent Mg(2)Mg9Cd3 cuboctahedra, edges with six equivalent Cd(1)Mg10Cd2 cuboctahedra, faces with six equivalent Mg(1)Mg8Cd4 cuboctahedra, faces with six equivalent Cd(1)Mg10Cd2 cuboctahedra, and faces with eight equivalent Mg(2)Mg9Cd3 cuboctahedra. Cd(1) is bonded to four equivalent Mg(1), six equivalent Mg(2), and two equivalent Cd(1) atoms to form distorted CdMg10Cd2 cuboctahedra that share corners with four equivalent Mg(1)Mg8Cd4 cuboctahedra, corners with fourteen equivalent Cd(1)Mg10Cd2 cuboctahedra, edges with two equivalent Cd(1)Mg10Cd2 cuboctahedra, edges with four equivalent Mg(1)Mg8Cd4 cuboctahedra, edges with twelve equivalent Mg(2)Mg9Cd3 cuboctahedra, faces with two equivalent Cd(1)Mg10Cd2 cuboctahedra, faces with six equivalent Mg(1)Mg8Cd4 cuboctahedra, and faces with twelve equivalent Mg(2)Mg9Cd3 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_Mg3Cd
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.925
_cell_length_b   5.925
_cell_length_c   5.925
_cell_angle_alpha   148.730
_cell_angle_beta   125.995
_cell_angle_gamma   63.740
_symmetry_Int_Tables_number   1
_cell_volume   86.453
_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  0.842  0.500  0.342  1.0
  Mg  Mg1  1  0.252  0.255  0.996  1.0
  Mg  Mg2  1  0.741  0.745  0.996  1.0
  Cd  Cd3  1  0.332  0.000  0.332  1.0
[/CIF]
.