The structure described by MgCd crystallizes in the orthorhombic Amm2 space group. There are four inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(2); three Mg(1,1); three equivalent Cd(1); and four equivalent Cd(2) atoms to form distorted MgMg5Cd7 cuboctahedra that share corners with nine Mg(1,1)Mg5Cd7 cuboctahedra; corners with nine equivalent Cd(1)Mg8Cd4 cuboctahedra; edges with four equivalent Mg(2)Mg4Cd8 cuboctahedra; edges with six Mg(1,1)Mg5Cd7 cuboctahedra; edges with eight equivalent Cd(2)Mg7Cd5 cuboctahedra; faces with three equivalent Cd(1)Mg8Cd4 cuboctahedra; faces with four equivalent Mg(2)Mg4Cd8 cuboctahedra; faces with five Mg(1,1)Mg5Cd7 cuboctahedra; and faces with eight equivalent Cd(2)Mg7Cd5 cuboctahedra. In the second Mg site, Mg(1) is bonded to two equivalent Mg(2); three Mg(1,1); three equivalent Cd(1); and four equivalent Cd(2) atoms to form distorted MgMg5Cd7 cuboctahedra that share corners with nine Mg(1,1)Mg5Cd7 cuboctahedra; corners with nine equivalent Cd(1)Mg8Cd4 cuboctahedra; edges with four equivalent Mg(2)Mg4Cd8 cuboctahedra; edges with six Mg(1,1)Mg5Cd7 cuboctahedra; edges with eight equivalent Cd(2)Mg7Cd5 cuboctahedra; faces with three equivalent Cd(1)Mg8Cd4 cuboctahedra; faces with four equivalent Mg(2)Mg4Cd8 cuboctahedra; faces with five Mg(1,1,1)Mg5Cd7 cuboctahedra; and faces with eight equivalent Cd(2)Mg7Cd5 cuboctahedra. In the third Mg site, Mg(2) is bonded to four equivalent Mg(1), two equivalent Cd(1), and six equivalent Cd(2) atoms to form distorted MgMg4Cd8 cuboctahedra that share corners with eighteen equivalent Cd(2)Mg7Cd5 cuboctahedra; edges with four equivalent Cd(1)Mg8Cd4 cuboctahedra; edges with six equivalent Mg(2)Mg4Cd8 cuboctahedra; edges with eight Mg(1,1,1)Mg5Cd7 cuboctahedra; faces with two equivalent Mg(2)Mg4Cd8 cuboctahedra; faces with four equivalent Cd(1)Mg8Cd4 cuboctahedra; faces with six equivalent Cd(2)Mg7Cd5 cuboctahedra; and faces with eight Mg(1,1,1)Mg5Cd7 cuboctahedra. In the fourth Mg site, Mg(1) is bonded to two equivalent Mg(2); three Mg(1,1); three equivalent Cd(1); and four equivalent Cd(2) atoms to form distorted MgMg5Cd7 cuboctahedra that share corners with nine Mg(1,1)Mg5Cd7 cuboctahedra; corners with nine equivalent Cd(1)Mg8Cd4 cuboctahedra; edges with four equivalent Mg(2)Mg4Cd8 cuboctahedra; edges with six Mg(1,1)Mg5Cd7 cuboctahedra; edges with eight equivalent Cd(2)Mg7Cd5 cuboctahedra; faces with three equivalent Cd(1)Mg8Cd4 cuboctahedra; faces with four equivalent Mg(2)Mg4Cd8 cuboctahedra; faces with five Mg(1,1,1)Mg5Cd7 cuboctahedra; and faces with eight equivalent Cd(2)Mg7Cd5 cuboctahedra. There are two inequivalent Cd sites. In the first Cd site, Cd(1) is bonded to two equivalent Mg(2); six Mg(1,1,1); and four equivalent Cd(2) atoms to form distorted CdMg8Cd4 cuboctahedra that share corners with eighteen Mg(1,1,1)Mg5Cd7 cuboctahedra; edges with four equivalent Mg(2)Mg4Cd8 cuboctahedra; edges with six equivalent Cd(1)Mg8Cd4 cuboctahedra; edges with eight equivalent Cd(2)Mg7Cd5 cuboctahedra; faces with two equivalent Cd(1)Mg8Cd4 cuboctahedra; faces with four equivalent Mg(2)Mg4Cd8 cuboctahedra; faces with six Mg(1,1,1)Mg5Cd7 cuboctahedra; and faces with eight equivalent Cd(2)Mg7Cd5 cuboctahedra. In the second Cd site, Cd(2) is bonded to three equivalent Mg(2); four Mg(1,1); two equivalent Cd(1); and three equivalent Cd(2) atoms to form distorted CdMg7Cd5 cuboctahedra that share corners with nine equivalent Mg(2)Mg4Cd8 cuboctahedra; corners with nine equivalent Cd(2)Mg7Cd5 cuboctahedra; edges with four equivalent Cd(1)Mg8Cd4 cuboctahedra; edges with six equivalent Cd(2)Mg7Cd5 cuboctahedra; edges with eight Mg(1,1)Mg5Cd7 cuboctahedra; faces with three equivalent Mg(2)Mg4Cd8 cuboctahedra; faces with four equivalent Cd(1)Mg8Cd4 cuboctahedra; faces with five equivalent Cd(2)Mg7Cd5 cuboctahedra; and faces with eight Mg(1,1,1)Mg5Cd7 cuboctahedra. is represented by the CIF card [CIF]
data_MgCd
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.045
_cell_length_b   5.330
_cell_length_c   5.388
_cell_angle_alpha   119.641
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   125.915
_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
  Cd  Cd0  1  0.000  0.341  0.000  1.0
  Cd  Cd1  1  0.500  0.327  0.333  1.0
  Cd  Cd2  1  0.500  0.994  0.667  1.0
  Mg  Mg3  1  1.000  0.671  0.660  1.0
  Mg  Mg4  1  1.000  0.011  0.340  1.0
  Mg  Mg5  1  0.500  0.655  0.000  1.0
[/CIF]
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The structure described by MgCd crystallizes in the orthorhombic Amm2 space group. There are four inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(2); three Mg(1,1); three equivalent Cd(1); and four equivalent Cd(2) atoms to form distorted MgMg5Cd7 cuboctahedra that share corners with nine Mg(1,1)Mg5Cd7 cuboctahedra; corners with nine equivalent Cd(1)Mg8Cd4 cuboctahedra; edges with four equivalent Mg(2)Mg4Cd8 cuboctahedra; edges with six Mg(1,1)Mg5Cd7 cuboctahedra; edges with eight equivalent Cd(2)Mg7Cd5 cuboctahedra; faces with three equivalent Cd(1)Mg8Cd4 cuboctahedra; faces with four equivalent Mg(2)Mg4Cd8 cuboctahedra; faces with five Mg(1,1)Mg5Cd7 cuboctahedra; and faces with eight equivalent Cd(2)Mg7Cd5 cuboctahedra. In the second Mg site, Mg(1) is bonded to two equivalent Mg(2); three Mg(1,1); three equivalent Cd(1); and four equivalent Cd(2) atoms to form distorted MgMg5Cd7 cuboctahedra that share corners with nine Mg(1,1)Mg5Cd7 cuboctahedra; corners with nine equivalent Cd(1)Mg8Cd4 cuboctahedra; edges with four equivalent Mg(2)Mg4Cd8 cuboctahedra; edges with six Mg(1,1)Mg5Cd7 cuboctahedra; edges with eight equivalent Cd(2)Mg7Cd5 cuboctahedra; faces with three equivalent Cd(1)Mg8Cd4 cuboctahedra; faces with four equivalent Mg(2)Mg4Cd8 cuboctahedra; faces with five Mg(1,1,1)Mg5Cd7 cuboctahedra; and faces with eight equivalent Cd(2)Mg7Cd5 cuboctahedra. In the third Mg site, Mg(2) is bonded to four equivalent Mg(1), two equivalent Cd(1), and six equivalent Cd(2) atoms to form distorted MgMg4Cd8 cuboctahedra that share corners with eighteen equivalent Cd(2)Mg7Cd5 cuboctahedra; edges with four equivalent Cd(1)Mg8Cd4 cuboctahedra; edges with six equivalent Mg(2)Mg4Cd8 cuboctahedra; edges with eight Mg(1,1,1)Mg5Cd7 cuboctahedra; faces with two equivalent Mg(2)Mg4Cd8 cuboctahedra; faces with four equivalent Cd(1)Mg8Cd4 cuboctahedra; faces with six equivalent Cd(2)Mg7Cd5 cuboctahedra; and faces with eight Mg(1,1,1)Mg5Cd7 cuboctahedra. In the fourth Mg site, Mg(1) is bonded to two equivalent Mg(2); three Mg(1,1); three equivalent Cd(1); and four equivalent Cd(2) atoms to form distorted MgMg5Cd7 cuboctahedra that share corners with nine Mg(1,1)Mg5Cd7 cuboctahedra; corners with nine equivalent Cd(1)Mg8Cd4 cuboctahedra; edges with four equivalent Mg(2)Mg4Cd8 cuboctahedra; edges with six Mg(1,1)Mg5Cd7 cuboctahedra; edges with eight equivalent Cd(2)Mg7Cd5 cuboctahedra; faces with three equivalent Cd(1)Mg8Cd4 cuboctahedra; faces with four equivalent Mg(2)Mg4Cd8 cuboctahedra; faces with five Mg(1,1,1)Mg5Cd7 cuboctahedra; and faces with eight equivalent Cd(2)Mg7Cd5 cuboctahedra. There are two inequivalent Cd sites. In the first Cd site, Cd(1) is bonded to two equivalent Mg(2); six Mg(1,1,1); and four equivalent Cd(2) atoms to form distorted CdMg8Cd4 cuboctahedra that share corners with eighteen Mg(1,1,1)Mg5Cd7 cuboctahedra; edges with four equivalent Mg(2)Mg4Cd8 cuboctahedra; edges with six equivalent Cd(1)Mg8Cd4 cuboctahedra; edges with eight equivalent Cd(2)Mg7Cd5 cuboctahedra; faces with two equivalent Cd(1)Mg8Cd4 cuboctahedra; faces with four equivalent Mg(2)Mg4Cd8 cuboctahedra; faces with six Mg(1,1,1)Mg5Cd7 cuboctahedra; and faces with eight equivalent Cd(2)Mg7Cd5 cuboctahedra. In the second Cd site, Cd(2) is bonded to three equivalent Mg(2); four Mg(1,1); two equivalent Cd(1); and three equivalent Cd(2) atoms to form distorted CdMg7Cd5 cuboctahedra that share corners with nine equivalent Mg(2)Mg4Cd8 cuboctahedra; corners with nine equivalent Cd(2)Mg7Cd5 cuboctahedra; edges with four equivalent Cd(1)Mg8Cd4 cuboctahedra; edges with six equivalent Cd(2)Mg7Cd5 cuboctahedra; edges with eight Mg(1,1)Mg5Cd7 cuboctahedra; faces with three equivalent Mg(2)Mg4Cd8 cuboctahedra; faces with four equivalent Cd(1)Mg8Cd4 cuboctahedra; faces with five equivalent Cd(2)Mg7Cd5 cuboctahedra; and faces with eight Mg(1,1,1)Mg5Cd7 cuboctahedra. is represented by the CIF card [CIF]
data_MgCd
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.045
_cell_length_b   5.330
_cell_length_c   5.388
_cell_angle_alpha   119.641
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   125.915
_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
  Cd  Cd0  1  0.000  0.341  0.000  1.0
  Cd  Cd1  1  0.500  0.327  0.333  1.0
  Cd  Cd2  1  0.500  0.994  0.667  1.0
  Mg  Mg3  1  1.000  0.671  0.660  1.0
  Mg  Mg4  1  1.000  0.011  0.340  1.0
  Mg  Mg5  1  0.500  0.655  0.000  1.0
[/CIF]
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