The material structure described by MgCd is beta-derived structured and crystallizes in the trigonal P3m1 space group. There are three inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to six equivalent Mg(1), three equivalent Cd(1), and three equivalent Cd(3) atoms to form distorted MgMg6Cd6 cuboctahedra that share corners with six equivalent Mg(1)Mg6Cd6 cuboctahedra, corners with six equivalent Mg(3)Mg9Cd3 cuboctahedra, corners with six equivalent Cd(2)Mg3Cd9 cuboctahedra, edges with six equivalent Mg(1)Mg6Cd6 cuboctahedra, edges with six equivalent Cd(1)Mg3Cd9 cuboctahedra, edges with six equivalent Cd(3)Mg6Cd6 cuboctahedra,  a faceface with one Mg(3)Mg9Cd3 cuboctahedra,  a faceface with one Cd(2)Mg3Cd9 cuboctahedra, faces with six equivalent Mg(1)Mg6Cd6 cuboctahedra, faces with six equivalent Cd(1)Mg3Cd9 cuboctahedra, and faces with six equivalent Cd(3)Mg6Cd6 cuboctahedra. In the second Mg site, Mg(2) is bonded to three equivalent Mg(3), six equivalent Mg(2), and three equivalent Cd(2) atoms to form distorted MgMg9Cd3 cuboctahedra that share corners with six equivalent Mg(2)Mg9Cd3 cuboctahedra, corners with six equivalent Cd(1)Mg3Cd9 cuboctahedra, corners with six equivalent Cd(3)Mg6Cd6 cuboctahedra, edges with six equivalent Mg(2)Mg9Cd3 cuboctahedra, edges with six equivalent Mg(3)Mg9Cd3 cuboctahedra, edges with six equivalent Cd(2)Mg3Cd9 cuboctahedra,  a faceface with one Cd(1)Mg3Cd9 cuboctahedra,  a faceface with one Cd(3)Mg6Cd6 cuboctahedra, faces with six equivalent Mg(2)Mg9Cd3 cuboctahedra, faces with six equivalent Mg(3)Mg9Cd3 cuboctahedra, and faces with six equivalent Cd(2)Mg3Cd9 cuboctahedra. In the third Mg site, Mg(3) is bonded to three equivalent Mg(2), six equivalent Mg(3), and three equivalent Cd(3) atoms to form distorted MgMg9Cd3 cuboctahedra that share corners with six equivalent Mg(1)Mg6Cd6 cuboctahedra, corners with six equivalent Mg(3)Mg9Cd3 cuboctahedra, corners with six equivalent Cd(2)Mg3Cd9 cuboctahedra, edges with six equivalent Mg(2)Mg9Cd3 cuboctahedra, edges with six equivalent Mg(3)Mg9Cd3 cuboctahedra, edges with six equivalent Cd(3)Mg6Cd6 cuboctahedra,  a faceface with one Mg(1)Mg6Cd6 cuboctahedra,  a faceface with one Cd(2)Mg3Cd9 cuboctahedra, faces with six equivalent Mg(2)Mg9Cd3 cuboctahedra, faces with six equivalent Mg(3)Mg9Cd3 cuboctahedra, and faces with six equivalent Cd(3)Mg6Cd6 cuboctahedra. There are three inequivalent Cd sites. In the first Cd site, Cd(1) is bonded to three equivalent Mg(1), three equivalent Cd(2), and six equivalent Cd(1) atoms to form distorted CdMg3Cd9 cuboctahedra that share corners with six equivalent Mg(2)Mg9Cd3 cuboctahedra, corners with six equivalent Cd(1)Mg3Cd9 cuboctahedra, corners with six equivalent Cd(3)Mg6Cd6 cuboctahedra, edges with six equivalent Mg(1)Mg6Cd6 cuboctahedra, edges with six equivalent Cd(1)Mg3Cd9 cuboctahedra, edges with six equivalent Cd(2)Mg3Cd9 cuboctahedra,  a faceface with one Mg(2)Mg9Cd3 cuboctahedra,  a faceface with one Cd(3)Mg6Cd6 cuboctahedra, faces with six equivalent Mg(1)Mg6Cd6 cuboctahedra, faces with six equivalent Cd(1)Mg3Cd9 cuboctahedra, and faces with six equivalent Cd(2)Mg3Cd9 cuboctahedra. In the second Cd site, Cd(2) is bonded to three equivalent Mg(2), three equivalent Cd(1), and six equivalent Cd(2) atoms to form distorted CdMg3Cd9 cuboctahedra that share corners with six equivalent Mg(1)Mg6Cd6 cuboctahedra, corners with six equivalent Mg(3)Mg9Cd3 cuboctahedra, corners with six equivalent Cd(2)Mg3Cd9 cuboctahedra, edges with six equivalent Mg(2)Mg9Cd3 cuboctahedra, edges with six equivalent Cd(1)Mg3Cd9 cuboctahedra, edges with six equivalent Cd(2)Mg3Cd9 cuboctahedra,  a faceface with one Mg(1)Mg6Cd6 cuboctahedra,  a faceface with one Mg(3)Mg9Cd3 cuboctahedra, faces with six equivalent Mg(2)Mg9Cd3 cuboctahedra, faces with six equivalent Cd(1)Mg3Cd9 cuboctahedra, and faces with six equivalent Cd(2)Mg3Cd9 cuboctahedra. In the third Cd site, Cd(3) is bonded to three equivalent Mg(1), three equivalent Mg(3), and six equivalent Cd(3) atoms to form CdMg6Cd6 cuboctahedra that share corners with six equivalent Mg(2)Mg9Cd3 cuboctahedra, corners with six equivalent Cd(1)Mg3Cd9 cuboctahedra, corners with six equivalent Cd(3)Mg6Cd6 cuboctahedra, edges with six equivalent Mg(1)Mg6Cd6 cuboctahedra, edges with six equivalent Mg(3)Mg9Cd3 cuboctahedra, edges with six equivalent Cd(3)Mg6Cd6 cuboctahedra,  a faceface with one Mg(2)Mg9Cd3 cuboctahedra,  a faceface with one Cd(1)Mg3Cd9 cuboctahedra, faces with six equivalent Mg(1)Mg6Cd6 cuboctahedra, faces with six equivalent Mg(3)Mg9Cd3 cuboctahedra, and faces with six equivalent Cd(3)Mg6Cd6 cuboctahedra. is represented by the CIF file [CIF]
data_MgCd
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   3.159
_cell_length_b   3.159
_cell_length_c   15.519
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   134.153
_cell_formula_units_Z   3
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  0.000  0.000  0.000  1.0
  Mg  Mg1  1  0.667  0.333  0.501  1.0
  Mg  Mg2  1  0.000  0.000  0.332  1.0
  Cd  Cd3  1  0.667  0.333  0.835  1.0
  Cd  Cd4  1  0.000  0.000  0.666  1.0
  Cd  Cd5  1  0.667  0.333  0.167  1.0
[/CIF]
.
The material structure described by MgCd is beta-derived structured and crystallizes in the trigonal P3m1 space group. There are three inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to six equivalent Mg(1), three equivalent Cd(1), and three equivalent Cd(3) atoms to form distorted MgMg6Cd6 cuboctahedra that share corners with six equivalent Mg(1)Mg6Cd6 cuboctahedra, corners with six equivalent Mg(3)Mg9Cd3 cuboctahedra, corners with six equivalent Cd(2)Mg3Cd9 cuboctahedra, edges with six equivalent Mg(1)Mg6Cd6 cuboctahedra, edges with six equivalent Cd(1)Mg3Cd9 cuboctahedra, edges with six equivalent Cd(3)Mg6Cd6 cuboctahedra,  a faceface with one Mg(3)Mg9Cd3 cuboctahedra,  a faceface with one Cd(2)Mg3Cd9 cuboctahedra, faces with six equivalent Mg(1)Mg6Cd6 cuboctahedra, faces with six equivalent Cd(1)Mg3Cd9 cuboctahedra, and faces with six equivalent Cd(3)Mg6Cd6 cuboctahedra. In the second Mg site, Mg(2) is bonded to three equivalent Mg(3), six equivalent Mg(2), and three equivalent Cd(2) atoms to form distorted MgMg9Cd3 cuboctahedra that share corners with six equivalent Mg(2)Mg9Cd3 cuboctahedra, corners with six equivalent Cd(1)Mg3Cd9 cuboctahedra, corners with six equivalent Cd(3)Mg6Cd6 cuboctahedra, edges with six equivalent Mg(2)Mg9Cd3 cuboctahedra, edges with six equivalent Mg(3)Mg9Cd3 cuboctahedra, edges with six equivalent Cd(2)Mg3Cd9 cuboctahedra,  a faceface with one Cd(1)Mg3Cd9 cuboctahedra,  a faceface with one Cd(3)Mg6Cd6 cuboctahedra, faces with six equivalent Mg(2)Mg9Cd3 cuboctahedra, faces with six equivalent Mg(3)Mg9Cd3 cuboctahedra, and faces with six equivalent Cd(2)Mg3Cd9 cuboctahedra. In the third Mg site, Mg(3) is bonded to three equivalent Mg(2), six equivalent Mg(3), and three equivalent Cd(3) atoms to form distorted MgMg9Cd3 cuboctahedra that share corners with six equivalent Mg(1)Mg6Cd6 cuboctahedra, corners with six equivalent Mg(3)Mg9Cd3 cuboctahedra, corners with six equivalent Cd(2)Mg3Cd9 cuboctahedra, edges with six equivalent Mg(2)Mg9Cd3 cuboctahedra, edges with six equivalent Mg(3)Mg9Cd3 cuboctahedra, edges with six equivalent Cd(3)Mg6Cd6 cuboctahedra,  a faceface with one Mg(1)Mg6Cd6 cuboctahedra,  a faceface with one Cd(2)Mg3Cd9 cuboctahedra, faces with six equivalent Mg(2)Mg9Cd3 cuboctahedra, faces with six equivalent Mg(3)Mg9Cd3 cuboctahedra, and faces with six equivalent Cd(3)Mg6Cd6 cuboctahedra. There are three inequivalent Cd sites. In the first Cd site, Cd(1) is bonded to three equivalent Mg(1), three equivalent Cd(2), and six equivalent Cd(1) atoms to form distorted CdMg3Cd9 cuboctahedra that share corners with six equivalent Mg(2)Mg9Cd3 cuboctahedra, corners with six equivalent Cd(1)Mg3Cd9 cuboctahedra, corners with six equivalent Cd(3)Mg6Cd6 cuboctahedra, edges with six equivalent Mg(1)Mg6Cd6 cuboctahedra, edges with six equivalent Cd(1)Mg3Cd9 cuboctahedra, edges with six equivalent Cd(2)Mg3Cd9 cuboctahedra,  a faceface with one Mg(2)Mg9Cd3 cuboctahedra,  a faceface with one Cd(3)Mg6Cd6 cuboctahedra, faces with six equivalent Mg(1)Mg6Cd6 cuboctahedra, faces with six equivalent Cd(1)Mg3Cd9 cuboctahedra, and faces with six equivalent Cd(2)Mg3Cd9 cuboctahedra. In the second Cd site, Cd(2) is bonded to three equivalent Mg(2), three equivalent Cd(1), and six equivalent Cd(2) atoms to form distorted CdMg3Cd9 cuboctahedra that share corners with six equivalent Mg(1)Mg6Cd6 cuboctahedra, corners with six equivalent Mg(3)Mg9Cd3 cuboctahedra, corners with six equivalent Cd(2)Mg3Cd9 cuboctahedra, edges with six equivalent Mg(2)Mg9Cd3 cuboctahedra, edges with six equivalent Cd(1)Mg3Cd9 cuboctahedra, edges with six equivalent Cd(2)Mg3Cd9 cuboctahedra,  a faceface with one Mg(1)Mg6Cd6 cuboctahedra,  a faceface with one Mg(3)Mg9Cd3 cuboctahedra, faces with six equivalent Mg(2)Mg9Cd3 cuboctahedra, faces with six equivalent Cd(1)Mg3Cd9 cuboctahedra, and faces with six equivalent Cd(2)Mg3Cd9 cuboctahedra. In the third Cd site, Cd(3) is bonded to three equivalent Mg(1), three equivalent Mg(3), and six equivalent Cd(3) atoms to form CdMg6Cd6 cuboctahedra that share corners with six equivalent Mg(2)Mg9Cd3 cuboctahedra, corners with six equivalent Cd(1)Mg3Cd9 cuboctahedra, corners with six equivalent Cd(3)Mg6Cd6 cuboctahedra, edges with six equivalent Mg(1)Mg6Cd6 cuboctahedra, edges with six equivalent Mg(3)Mg9Cd3 cuboctahedra, edges with six equivalent Cd(3)Mg6Cd6 cuboctahedra,  a faceface with one Mg(2)Mg9Cd3 cuboctahedra,  a faceface with one Cd(1)Mg3Cd9 cuboctahedra, faces with six equivalent Mg(1)Mg6Cd6 cuboctahedra, faces with six equivalent Mg(3)Mg9Cd3 cuboctahedra, and faces with six equivalent Cd(3)Mg6Cd6 cuboctahedra. is represented by the CIF file [CIF]
data_MgCd
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   3.159
_cell_length_b   3.159
_cell_length_c   15.519
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   134.153
_cell_formula_units_Z   3
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  0.000  0.000  0.000  1.0
  Mg  Mg1  1  0.667  0.333  0.501  1.0
  Mg  Mg2  1  0.000  0.000  0.332  1.0
  Cd  Cd3  1  0.667  0.333  0.835  1.0
  Cd  Cd4  1  0.000  0.000  0.666  1.0
  Cd  Cd5  1  0.667  0.333  0.167  1.0
[/CIF]
.