The structure described by MgCd3 crystallizes in the orthorhombic Imm2 space group. Mg(1) is bonded to two equivalent Mg(1), four equivalent Cd(1), and six equivalent Cd(2) atoms to form distorted MgMg2Cd10 cuboctahedra that share corners with four equivalent Cd(1)Mg4Cd8 cuboctahedra, corners with fourteen equivalent Mg(1)Mg2Cd10 cuboctahedra, edges with two equivalent Mg(1)Mg2Cd10 cuboctahedra, edges with four equivalent Cd(1)Mg4Cd8 cuboctahedra, edges with twelve equivalent Cd(2)Mg3Cd9 cuboctahedra, faces with two equivalent Mg(1)Mg2Cd10 cuboctahedra, faces with six equivalent Cd(1)Mg4Cd8 cuboctahedra, and faces with twelve equivalent Cd(2)Mg3Cd9 cuboctahedra. There are two inequivalent Cd sites. In the first Cd site, Cd(1) is bonded to four equivalent Mg(1), two equivalent Cd(1), and six equivalent Cd(2) atoms to form distorted CdMg4Cd8 cuboctahedra that share corners with four equivalent Mg(1)Mg2Cd10 cuboctahedra, corners with fourteen equivalent Cd(1)Mg4Cd8 cuboctahedra, edges with two equivalent Cd(1)Mg4Cd8 cuboctahedra, edges with four equivalent Mg(1)Mg2Cd10 cuboctahedra, edges with twelve equivalent Cd(2)Mg3Cd9 cuboctahedra, faces with two equivalent Cd(1)Mg4Cd8 cuboctahedra, faces with six equivalent Mg(1)Mg2Cd10 cuboctahedra, and faces with twelve equivalent Cd(2)Mg3Cd9 cuboctahedra. In the second Cd site, Cd(2) is bonded to three equivalent Mg(1), three equivalent Cd(1), and six equivalent Cd(2) atoms to form distorted CdMg3Cd9 cuboctahedra that share corners with eighteen equivalent Cd(2)Mg3Cd9 cuboctahedra, edges with six equivalent Mg(1)Mg2Cd10 cuboctahedra, edges with six equivalent Cd(2)Mg3Cd9 cuboctahedra, edges with six equivalent Cd(1)Mg4Cd8 cuboctahedra, faces with six equivalent Mg(1)Mg2Cd10 cuboctahedra, faces with six equivalent Cd(1)Mg4Cd8 cuboctahedra, and faces with eight equivalent Cd(2)Mg3Cd9 cuboctahedra. is represented by the CIF file [CIF]
data_MgCd3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.932
_cell_length_b   5.932
_cell_length_c   5.932
_cell_angle_alpha   148.971
_cell_angle_beta   126.978
_cell_angle_gamma   62.715
_symmetry_Int_Tables_number   1
_cell_volume   85.133
_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  0.334  0.000  0.334  1.0
  Cd  Cd1  1  0.831  0.500  0.331  1.0
  Cd  Cd2  1  0.252  0.251  0.001  1.0
  Cd  Cd3  1  0.749  0.749  0.001  1.0
[/CIF]
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The structure described by MgCd3 crystallizes in the orthorhombic Imm2 space group. Mg(1) is bonded to two equivalent Mg(1), four equivalent Cd(1), and six equivalent Cd(2) atoms to form distorted MgMg2Cd10 cuboctahedra that share corners with four equivalent Cd(1)Mg4Cd8 cuboctahedra, corners with fourteen equivalent Mg(1)Mg2Cd10 cuboctahedra, edges with two equivalent Mg(1)Mg2Cd10 cuboctahedra, edges with four equivalent Cd(1)Mg4Cd8 cuboctahedra, edges with twelve equivalent Cd(2)Mg3Cd9 cuboctahedra, faces with two equivalent Mg(1)Mg2Cd10 cuboctahedra, faces with six equivalent Cd(1)Mg4Cd8 cuboctahedra, and faces with twelve equivalent Cd(2)Mg3Cd9 cuboctahedra. There are two inequivalent Cd sites. In the first Cd site, Cd(1) is bonded to four equivalent Mg(1), two equivalent Cd(1), and six equivalent Cd(2) atoms to form distorted CdMg4Cd8 cuboctahedra that share corners with four equivalent Mg(1)Mg2Cd10 cuboctahedra, corners with fourteen equivalent Cd(1)Mg4Cd8 cuboctahedra, edges with two equivalent Cd(1)Mg4Cd8 cuboctahedra, edges with four equivalent Mg(1)Mg2Cd10 cuboctahedra, edges with twelve equivalent Cd(2)Mg3Cd9 cuboctahedra, faces with two equivalent Cd(1)Mg4Cd8 cuboctahedra, faces with six equivalent Mg(1)Mg2Cd10 cuboctahedra, and faces with twelve equivalent Cd(2)Mg3Cd9 cuboctahedra. In the second Cd site, Cd(2) is bonded to three equivalent Mg(1), three equivalent Cd(1), and six equivalent Cd(2) atoms to form distorted CdMg3Cd9 cuboctahedra that share corners with eighteen equivalent Cd(2)Mg3Cd9 cuboctahedra, edges with six equivalent Mg(1)Mg2Cd10 cuboctahedra, edges with six equivalent Cd(2)Mg3Cd9 cuboctahedra, edges with six equivalent Cd(1)Mg4Cd8 cuboctahedra, faces with six equivalent Mg(1)Mg2Cd10 cuboctahedra, faces with six equivalent Cd(1)Mg4Cd8 cuboctahedra, and faces with eight equivalent Cd(2)Mg3Cd9 cuboctahedra. is represented by the CIF file [CIF]
data_MgCd3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.932
_cell_length_b   5.932
_cell_length_c   5.932
_cell_angle_alpha   148.971
_cell_angle_beta   126.978
_cell_angle_gamma   62.715
_symmetry_Int_Tables_number   1
_cell_volume   85.133
_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  0.334  0.000  0.334  1.0
  Cd  Cd1  1  0.831  0.500  0.331  1.0
  Cd  Cd2  1  0.252  0.251  0.001  1.0
  Cd  Cd3  1  0.749  0.749  0.001  1.0
[/CIF]
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