The compound described by Mg5Cd crystallizes in the trigonal R32 space group. There are five inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to four equivalent Mg(2), six equivalent Mg(1), and two equivalent Cd(1) atoms to form distorted MgMg10Cd2 cuboctahedra that share corners with eighteen equivalent Mg(1)Mg10Cd2 cuboctahedra; edges with four equivalent Cd(1)Mg12 cuboctahedra; edges with six equivalent Mg(1)Mg10Cd2 cuboctahedra; edges with eight equivalent Mg(2)Mg9Cd3 cuboctahedra; faces with four equivalent Cd(1)Mg12 cuboctahedra; faces with eight Mg(1,1,1)Mg10Cd2 cuboctahedra; and faces with eight equivalent Mg(2)Mg9Cd3 cuboctahedra. In the second Mg site, Mg(2) is bonded to three equivalent Mg(2); six Mg(1,1,1); and three equivalent Cd(1) atoms to form MgMg9Cd3 cuboctahedra that share corners with six equivalent Cd(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(2)Mg9Cd3 cuboctahedra; edges with six equivalent Mg(2)Mg9Cd3 cuboctahedra; edges with twelve Mg(1,1,1)Mg10Cd2 cuboctahedra; faces with four equivalent Mg(2)Mg9Cd3 cuboctahedra; faces with four equivalent Cd(1)Mg12 cuboctahedra; and faces with twelve Mg(1,1,1)Mg10Cd2 cuboctahedra. In the third Mg site, Mg(1) is bonded to four equivalent Mg(2); six Mg(1,1); and two equivalent Cd(1) atoms to form distorted MgMg10Cd2 cuboctahedra that share corners with eighteen Mg(1,1,1,1)Mg10Cd2 cuboctahedra; edges with four equivalent Cd(1)Mg12 cuboctahedra; edges with six equivalent Mg(1)Mg10Cd2 cuboctahedra; edges with eight equivalent Mg(2)Mg9Cd3 cuboctahedra; faces with four equivalent Cd(1)Mg12 cuboctahedra; faces with eight Mg(1,1)Mg10Cd2 cuboctahedra; and faces with eight equivalent Mg(2)Mg9Cd3 cuboctahedra. In the fourth Mg site, Mg(1) is bonded to four equivalent Mg(2), six equivalent Mg(1), and two equivalent Cd(1) atoms to form distorted MgMg10Cd2 cuboctahedra that share corners with eighteen equivalent Mg(1)Mg10Cd2 cuboctahedra; edges with four equivalent Cd(1)Mg12 cuboctahedra; edges with six equivalent Mg(1)Mg10Cd2 cuboctahedra; edges with eight equivalent Mg(2)Mg9Cd3 cuboctahedra; faces with four equivalent Cd(1)Mg12 cuboctahedra; faces with eight Mg(1,1,1)Mg10Cd2 cuboctahedra; and faces with eight equivalent Mg(2)Mg9Cd3 cuboctahedra. In the fifth Mg site, Mg(1) is bonded to four equivalent Mg(2), six equivalent Mg(1), and two equivalent Cd(1) atoms to form distorted MgMg10Cd2 cuboctahedra that share corners with eighteen equivalent Mg(1)Mg10Cd2 cuboctahedra; edges with four equivalent Cd(1)Mg12 cuboctahedra; edges with six equivalent Mg(1)Mg10Cd2 cuboctahedra; edges with eight equivalent Mg(2)Mg9Cd3 cuboctahedra; faces with four equivalent Cd(1)Mg12 cuboctahedra; faces with eight Mg(1,1,1)Mg10Cd2 cuboctahedra; and faces with eight equivalent Mg(2)Mg9Cd3 cuboctahedra. Cd(1) is bonded to six Mg(1,1,1) and six equivalent Mg(2) atoms to form CdMg12 cuboctahedra that share corners with six equivalent Cd(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(2)Mg9Cd3 cuboctahedra; edges with six equivalent Cd(1)Mg12 cuboctahedra; edges with twelve Mg(1,1,1)Mg10Cd2 cuboctahedra; faces with eight equivalent Mg(2)Mg9Cd3 cuboctahedra; and faces with twelve Mg(1,1,1)Mg10Cd2 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_Mg5Cd
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.439
_cell_length_b   5.439
_cell_length_c   5.987
_cell_angle_alpha   62.983
_cell_angle_beta   62.983
_cell_angle_gamma   60.000
_symmetry_Int_Tables_number   1
_cell_volume   130.593
_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
  Cd  Cd0  1  0.500  0.500  0.500  1.0
  Mg  Mg1  1  0.338  1.000  0.000  1.0
  Mg  Mg2  1  0.167  0.167  0.500  1.0
  Mg  Mg3  1  0.662  0.338  1.000  1.0
  Mg  Mg4  1  0.000  0.662  0.000  1.0
  Mg  Mg5  1  0.833  0.833  0.500  1.0
[/CIF]
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The compound described by Mg5Cd crystallizes in the trigonal R32 space group. There are five inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to four equivalent Mg(2), six equivalent Mg(1), and two equivalent Cd(1) atoms to form distorted MgMg10Cd2 cuboctahedra that share corners with eighteen equivalent Mg(1)Mg10Cd2 cuboctahedra; edges with four equivalent Cd(1)Mg12 cuboctahedra; edges with six equivalent Mg(1)Mg10Cd2 cuboctahedra; edges with eight equivalent Mg(2)Mg9Cd3 cuboctahedra; faces with four equivalent Cd(1)Mg12 cuboctahedra; faces with eight Mg(1,1,1)Mg10Cd2 cuboctahedra; and faces with eight equivalent Mg(2)Mg9Cd3 cuboctahedra. In the second Mg site, Mg(2) is bonded to three equivalent Mg(2); six Mg(1,1,1); and three equivalent Cd(1) atoms to form MgMg9Cd3 cuboctahedra that share corners with six equivalent Cd(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(2)Mg9Cd3 cuboctahedra; edges with six equivalent Mg(2)Mg9Cd3 cuboctahedra; edges with twelve Mg(1,1,1)Mg10Cd2 cuboctahedra; faces with four equivalent Mg(2)Mg9Cd3 cuboctahedra; faces with four equivalent Cd(1)Mg12 cuboctahedra; and faces with twelve Mg(1,1,1)Mg10Cd2 cuboctahedra. In the third Mg site, Mg(1) is bonded to four equivalent Mg(2); six Mg(1,1); and two equivalent Cd(1) atoms to form distorted MgMg10Cd2 cuboctahedra that share corners with eighteen Mg(1,1,1,1)Mg10Cd2 cuboctahedra; edges with four equivalent Cd(1)Mg12 cuboctahedra; edges with six equivalent Mg(1)Mg10Cd2 cuboctahedra; edges with eight equivalent Mg(2)Mg9Cd3 cuboctahedra; faces with four equivalent Cd(1)Mg12 cuboctahedra; faces with eight Mg(1,1)Mg10Cd2 cuboctahedra; and faces with eight equivalent Mg(2)Mg9Cd3 cuboctahedra. In the fourth Mg site, Mg(1) is bonded to four equivalent Mg(2), six equivalent Mg(1), and two equivalent Cd(1) atoms to form distorted MgMg10Cd2 cuboctahedra that share corners with eighteen equivalent Mg(1)Mg10Cd2 cuboctahedra; edges with four equivalent Cd(1)Mg12 cuboctahedra; edges with six equivalent Mg(1)Mg10Cd2 cuboctahedra; edges with eight equivalent Mg(2)Mg9Cd3 cuboctahedra; faces with four equivalent Cd(1)Mg12 cuboctahedra; faces with eight Mg(1,1,1)Mg10Cd2 cuboctahedra; and faces with eight equivalent Mg(2)Mg9Cd3 cuboctahedra. In the fifth Mg site, Mg(1) is bonded to four equivalent Mg(2), six equivalent Mg(1), and two equivalent Cd(1) atoms to form distorted MgMg10Cd2 cuboctahedra that share corners with eighteen equivalent Mg(1)Mg10Cd2 cuboctahedra; edges with four equivalent Cd(1)Mg12 cuboctahedra; edges with six equivalent Mg(1)Mg10Cd2 cuboctahedra; edges with eight equivalent Mg(2)Mg9Cd3 cuboctahedra; faces with four equivalent Cd(1)Mg12 cuboctahedra; faces with eight Mg(1,1,1)Mg10Cd2 cuboctahedra; and faces with eight equivalent Mg(2)Mg9Cd3 cuboctahedra. Cd(1) is bonded to six Mg(1,1,1) and six equivalent Mg(2) atoms to form CdMg12 cuboctahedra that share corners with six equivalent Cd(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(2)Mg9Cd3 cuboctahedra; edges with six equivalent Cd(1)Mg12 cuboctahedra; edges with twelve Mg(1,1,1)Mg10Cd2 cuboctahedra; faces with eight equivalent Mg(2)Mg9Cd3 cuboctahedra; and faces with twelve Mg(1,1,1)Mg10Cd2 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_Mg5Cd
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.439
_cell_length_b   5.439
_cell_length_c   5.987
_cell_angle_alpha   62.983
_cell_angle_beta   62.983
_cell_angle_gamma   60.000
_symmetry_Int_Tables_number   1
_cell_volume   130.593
_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
  Cd  Cd0  1  0.500  0.500  0.500  1.0
  Mg  Mg1  1  0.338  1.000  0.000  1.0
  Mg  Mg2  1  0.167  0.167  0.500  1.0
  Mg  Mg3  1  0.662  0.338  1.000  1.0
  Mg  Mg4  1  0.000  0.662  0.000  1.0
  Mg  Mg5  1  0.833  0.833  0.500  1.0
[/CIF]
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