The material described by CaMg6Cd is beta Cu3Ti-derived structured and crystallizes in the orthorhombic Amm2 space group. Ca(1) is bonded to two equivalent Mg(2); four Mg(1,1,1); four Mg(3,3); and two equivalent Cd(1) atoms to form CaMg10Cd2 cuboctahedra that share corners with four equivalent Mg(2)Ca2Mg10 cuboctahedra; corners with six equivalent Ca(1)Mg10Cd2 cuboctahedra; corners with eight Mg(1,1,1)Ca2Mg8Cd2 cuboctahedra; edges with two equivalent Mg(2)Ca2Mg10 cuboctahedra; edges with four Mg(1,1,1)Ca2Mg8Cd2 cuboctahedra; edges with four equivalent Cd(1)Ca2Mg10 cuboctahedra; edges with eight Mg(3,3)Ca2Mg8Cd2 cuboctahedra; faces with two equivalent Ca(1)Mg10Cd2 cuboctahedra; faces with two equivalent Mg(2)Ca2Mg10 cuboctahedra; faces with two equivalent Cd(1)Ca2Mg10 cuboctahedra; faces with four Mg(1,1,1)Ca2Mg8Cd2 cuboctahedra; faces with four Mg(3,3)Ca2Mg8Cd2 cuboctahedra; and faces with six equivalent Mg(4)Mg10Cd2 cuboctahedra. There are seven inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Ca(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Cd(1) atoms to form distorted MgCa2Mg8Cd2 cuboctahedra that share corners with four equivalent Ca(1)Mg10Cd2 cuboctahedra; corners with four equivalent Mg(2)Ca2Mg10 cuboctahedra; corners with ten Mg(1,1)Ca2Mg8Cd2 cuboctahedra; edges with two equivalent Ca(1)Mg10Cd2 cuboctahedra; edges with two equivalent Mg(2)Ca2Mg10 cuboctahedra; edges with two equivalent Mg(1)Ca2Mg8Cd2 cuboctahedra; edges with four equivalent Mg(3)Ca2Mg8Cd2 cuboctahedra; edges with four equivalent Mg(4)Mg10Cd2 cuboctahedra; edges with four equivalent Cd(1)Ca2Mg10 cuboctahedra; faces with two equivalent Ca(1)Mg10Cd2 cuboctahedra; faces with two equivalent Mg(2)Ca2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra; faces with two equivalent Cd(1)Ca2Mg10 cuboctahedra; faces with four Mg(1,1)Ca2Mg8Cd2 cuboctahedra; and faces with eight Mg(3,3)Ca2Mg8Cd2 cuboctahedra. In the second Mg site, Mg(1) is bonded to two equivalent Ca(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Cd(1) atoms to form distorted MgCa2Mg8Cd2 cuboctahedra that share corners with four equivalent Ca(1)Mg10Cd2 cuboctahedra; corners with four equivalent Mg(2)Ca2Mg10 cuboctahedra; corners with ten Mg(1,1,1)Ca2Mg8Cd2 cuboctahedra; edges with two equivalent Ca(1)Mg10Cd2 cuboctahedra; edges with two equivalent Mg(2)Ca2Mg10 cuboctahedra; edges with two equivalent Mg(1)Ca2Mg8Cd2 cuboctahedra; edges with four equivalent Mg(3)Ca2Mg8Cd2 cuboctahedra; edges with four equivalent Mg(4)Mg10Cd2 cuboctahedra; edges with four equivalent Cd(1)Ca2Mg10 cuboctahedra; faces with two equivalent Ca(1)Mg10Cd2 cuboctahedra; faces with two equivalent Mg(2)Ca2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra; faces with two equivalent Cd(1)Ca2Mg10 cuboctahedra; faces with four Mg(1,1)Ca2Mg8Cd2 cuboctahedra; and faces with eight Mg(3,3)Ca2Mg8Cd2 cuboctahedra. In the third Mg site, Mg(2) is bonded to two equivalent Ca(1); two equivalent Mg(4); four Mg(1,1,1); and four Mg(3,3) atoms to form distorted MgCa2Mg10 cuboctahedra that share corners with four equivalent Ca(1)Mg10Cd2 cuboctahedra; corners with six equivalent Mg(2)Ca2Mg10 cuboctahedra; corners with eight Mg(1,1,1)Ca2Mg8Cd2 cuboctahedra; edges with two equivalent Ca(1)Mg10Cd2 cuboctahedra; edges with four Mg(1,1,1)Ca2Mg8Cd2 cuboctahedra; edges with four equivalent Mg(4)Mg10Cd2 cuboctahedra; edges with eight Mg(3,3)Ca2Mg8Cd2 cuboctahedra; faces with two equivalent Ca(1)Mg10Cd2 cuboctahedra; faces with two equivalent Mg(2)Ca2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra; faces with four Mg(1,1,1)Ca2Mg8Cd2 cuboctahedra; faces with four Mg(3,3)Ca2Mg8Cd2 cuboctahedra; and faces with six equivalent Cd(1)Ca2Mg10 cuboctahedra. In the fourth Mg site, Mg(3) is bonded to two equivalent Ca(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Cd(1) atoms to form distorted MgCa2Mg8Cd2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Cd2 cuboctahedra; corners with four equivalent Cd(1)Ca2Mg10 cuboctahedra; corners with ten Mg(3,3)Ca2Mg8Cd2 cuboctahedra; edges with two equivalent Mg(3)Ca2Mg8Cd2 cuboctahedra; edges with two equivalent Mg(4)Mg10Cd2 cuboctahedra; edges with two equivalent Cd(1)Ca2Mg10 cuboctahedra; edges with four equivalent Ca(1)Mg10Cd2 cuboctahedra; edges with four equivalent Mg(2)Ca2Mg10 cuboctahedra; edges with four equivalent Mg(1)Ca2Mg8Cd2 cuboctahedra; faces with two equivalent Ca(1)Mg10Cd2 cuboctahedra; faces with two equivalent Mg(2)Ca2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra; faces with two equivalent Cd(1)Ca2Mg10 cuboctahedra; faces with four Mg(3,3)Ca2Mg8Cd2 cuboctahedra; and faces with eight Mg(1,1,1)Ca2Mg8Cd2 cuboctahedra. In the fifth Mg site, Mg(3) is bonded to two equivalent Ca(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Cd(1) atoms to form distorted MgCa2Mg8Cd2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Cd2 cuboctahedra; corners with four equivalent Cd(1)Ca2Mg10 cuboctahedra; corners with ten Mg(3,3)Ca2Mg8Cd2 cuboctahedra; edges with two equivalent Mg(3)Ca2Mg8Cd2 cuboctahedra; edges with two equivalent Mg(4)Mg10Cd2 cuboctahedra; edges with two equivalent Cd(1)Ca2Mg10 cuboctahedra; edges with four equivalent Ca(1)Mg10Cd2 cuboctahedra; edges with four equivalent Mg(2)Ca2Mg10 cuboctahedra; edges with four equivalent Mg(1)Ca2Mg8Cd2 cuboctahedra; faces with two equivalent Ca(1)Mg10Cd2 cuboctahedra; faces with two equivalent Mg(2)Ca2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra; faces with two equivalent Cd(1)Ca2Mg10 cuboctahedra; faces with four Mg(3,3)Ca2Mg8Cd2 cuboctahedra; and faces with eight Mg(1,1)Ca2Mg8Cd2 cuboctahedra. In the sixth Mg site, Mg(4) is bonded to two equivalent Mg(2); four Mg(1,1); four Mg(3,3); and two equivalent Cd(1) atoms to form distorted MgMg10Cd2 cuboctahedra that share corners with four equivalent Cd(1)Ca2Mg10 cuboctahedra; corners with six equivalent Mg(4)Mg10Cd2 cuboctahedra; corners with eight Mg(3,3)Ca2Mg8Cd2 cuboctahedra; edges with two equivalent Cd(1)Ca2Mg10 cuboctahedra; edges with four equivalent Mg(2)Ca2Mg10 cuboctahedra; edges with four Mg(3,3)Ca2Mg8Cd2 cuboctahedra; edges with eight Mg(1,1,1)Ca2Mg8Cd2 cuboctahedra; faces with two equivalent Mg(2)Ca2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra; faces with two equivalent Cd(1)Ca2Mg10 cuboctahedra; faces with four Mg(1,1)Ca2Mg8Cd2 cuboctahedra; faces with four Mg(3,3)Ca2Mg8Cd2 cuboctahedra; and faces with six equivalent Ca(1)Mg10Cd2 cuboctahedra. In the seventh Mg site, Mg(1) is bonded to two equivalent Ca(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Cd(1) atoms to form distorted MgCa2Mg8Cd2 cuboctahedra that share corners with four equivalent Ca(1)Mg10Cd2 cuboctahedra; corners with four equivalent Mg(2)Ca2Mg10 cuboctahedra; corners with ten Mg(1,1)Ca2Mg8Cd2 cuboctahedra; edges with two equivalent Ca(1)Mg10Cd2 cuboctahedra; edges with two equivalent Mg(2)Ca2Mg10 cuboctahedra; edges with two equivalent Mg(1)Ca2Mg8Cd2 cuboctahedra; edges with four equivalent Mg(3)Ca2Mg8Cd2 cuboctahedra; edges with four equivalent Mg(4)Mg10Cd2 cuboctahedra; edges with four equivalent Cd(1)Ca2Mg10 cuboctahedra; faces with two equivalent Ca(1)Mg10Cd2 cuboctahedra; faces with two equivalent Mg(2)Ca2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra; faces with two equivalent Cd(1)Ca2Mg10 cuboctahedra; faces with four Mg(1,1)Ca2Mg8Cd2 cuboctahedra; and faces with eight Mg(3,3)Ca2Mg8Cd2 cuboctahedra. Cd(1) is bonded to two equivalent Ca(1); two equivalent Mg(4); four Mg(1,1); and four Mg(3,3) atoms to form CdCa2Mg10 cuboctahedra that share corners with four equivalent Mg(4)Mg10Cd2 cuboctahedra; corners with six equivalent Cd(1)Ca2Mg10 cuboctahedra; corners with eight Mg(3,3)Ca2Mg8Cd2 cuboctahedra; edges with two equivalent Mg(4)Mg10Cd2 cuboctahedra; edges with four equivalent Ca(1)Mg10Cd2 cuboctahedra; edges with four Mg(3,3)Ca2Mg8Cd2 cuboctahedra; edges with eight Mg(1,1,1)Ca2Mg8Cd2 cuboctahedra; faces with two equivalent Ca(1)Mg10Cd2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra; faces with two equivalent Cd(1)Ca2Mg10 cuboctahedra; faces with four Mg(1,1)Ca2Mg8Cd2 cuboctahedra; faces with four Mg(3,3)Ca2Mg8Cd2 cuboctahedra; and faces with six equivalent Mg(2)Ca2Mg10 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_CaMg6Cd
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.202
_cell_length_b   6.612
_cell_length_c   6.612
_cell_angle_alpha   119.826
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   197.312
_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
  Ca  Ca0  1  0.000  0.169  0.831  1.0
  Cd  Cd1  1  0.500  0.336  0.664  1.0
  Mg  Mg2  1  1.000  0.665  0.828  1.0
  Mg  Mg3  1  1.000  0.172  0.335  1.0
  Mg  Mg4  1  0.000  0.664  0.336  1.0
  Mg  Mg5  1  0.500  0.824  0.662  1.0
  Mg  Mg6  1  0.500  0.338  0.176  1.0
  Mg  Mg7  1  0.500  0.833  0.167  1.0
[/CIF]
.
The material described by CaMg6Cd is beta Cu3Ti-derived structured and crystallizes in the orthorhombic Amm2 space group. Ca(1) is bonded to two equivalent Mg(2); four Mg(1,1,1); four Mg(3,3); and two equivalent Cd(1) atoms to form CaMg10Cd2 cuboctahedra that share corners with four equivalent Mg(2)Ca2Mg10 cuboctahedra; corners with six equivalent Ca(1)Mg10Cd2 cuboctahedra; corners with eight Mg(1,1,1)Ca2Mg8Cd2 cuboctahedra; edges with two equivalent Mg(2)Ca2Mg10 cuboctahedra; edges with four Mg(1,1,1)Ca2Mg8Cd2 cuboctahedra; edges with four equivalent Cd(1)Ca2Mg10 cuboctahedra; edges with eight Mg(3,3)Ca2Mg8Cd2 cuboctahedra; faces with two equivalent Ca(1)Mg10Cd2 cuboctahedra; faces with two equivalent Mg(2)Ca2Mg10 cuboctahedra; faces with two equivalent Cd(1)Ca2Mg10 cuboctahedra; faces with four Mg(1,1,1)Ca2Mg8Cd2 cuboctahedra; faces with four Mg(3,3)Ca2Mg8Cd2 cuboctahedra; and faces with six equivalent Mg(4)Mg10Cd2 cuboctahedra. There are seven inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Ca(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Cd(1) atoms to form distorted MgCa2Mg8Cd2 cuboctahedra that share corners with four equivalent Ca(1)Mg10Cd2 cuboctahedra; corners with four equivalent Mg(2)Ca2Mg10 cuboctahedra; corners with ten Mg(1,1)Ca2Mg8Cd2 cuboctahedra; edges with two equivalent Ca(1)Mg10Cd2 cuboctahedra; edges with two equivalent Mg(2)Ca2Mg10 cuboctahedra; edges with two equivalent Mg(1)Ca2Mg8Cd2 cuboctahedra; edges with four equivalent Mg(3)Ca2Mg8Cd2 cuboctahedra; edges with four equivalent Mg(4)Mg10Cd2 cuboctahedra; edges with four equivalent Cd(1)Ca2Mg10 cuboctahedra; faces with two equivalent Ca(1)Mg10Cd2 cuboctahedra; faces with two equivalent Mg(2)Ca2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra; faces with two equivalent Cd(1)Ca2Mg10 cuboctahedra; faces with four Mg(1,1)Ca2Mg8Cd2 cuboctahedra; and faces with eight Mg(3,3)Ca2Mg8Cd2 cuboctahedra. In the second Mg site, Mg(1) is bonded to two equivalent Ca(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Cd(1) atoms to form distorted MgCa2Mg8Cd2 cuboctahedra that share corners with four equivalent Ca(1)Mg10Cd2 cuboctahedra; corners with four equivalent Mg(2)Ca2Mg10 cuboctahedra; corners with ten Mg(1,1,1)Ca2Mg8Cd2 cuboctahedra; edges with two equivalent Ca(1)Mg10Cd2 cuboctahedra; edges with two equivalent Mg(2)Ca2Mg10 cuboctahedra; edges with two equivalent Mg(1)Ca2Mg8Cd2 cuboctahedra; edges with four equivalent Mg(3)Ca2Mg8Cd2 cuboctahedra; edges with four equivalent Mg(4)Mg10Cd2 cuboctahedra; edges with four equivalent Cd(1)Ca2Mg10 cuboctahedra; faces with two equivalent Ca(1)Mg10Cd2 cuboctahedra; faces with two equivalent Mg(2)Ca2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra; faces with two equivalent Cd(1)Ca2Mg10 cuboctahedra; faces with four Mg(1,1)Ca2Mg8Cd2 cuboctahedra; and faces with eight Mg(3,3)Ca2Mg8Cd2 cuboctahedra. In the third Mg site, Mg(2) is bonded to two equivalent Ca(1); two equivalent Mg(4); four Mg(1,1,1); and four Mg(3,3) atoms to form distorted MgCa2Mg10 cuboctahedra that share corners with four equivalent Ca(1)Mg10Cd2 cuboctahedra; corners with six equivalent Mg(2)Ca2Mg10 cuboctahedra; corners with eight Mg(1,1,1)Ca2Mg8Cd2 cuboctahedra; edges with two equivalent Ca(1)Mg10Cd2 cuboctahedra; edges with four Mg(1,1,1)Ca2Mg8Cd2 cuboctahedra; edges with four equivalent Mg(4)Mg10Cd2 cuboctahedra; edges with eight Mg(3,3)Ca2Mg8Cd2 cuboctahedra; faces with two equivalent Ca(1)Mg10Cd2 cuboctahedra; faces with two equivalent Mg(2)Ca2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra; faces with four Mg(1,1,1)Ca2Mg8Cd2 cuboctahedra; faces with four Mg(3,3)Ca2Mg8Cd2 cuboctahedra; and faces with six equivalent Cd(1)Ca2Mg10 cuboctahedra. In the fourth Mg site, Mg(3) is bonded to two equivalent Ca(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Cd(1) atoms to form distorted MgCa2Mg8Cd2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Cd2 cuboctahedra; corners with four equivalent Cd(1)Ca2Mg10 cuboctahedra; corners with ten Mg(3,3)Ca2Mg8Cd2 cuboctahedra; edges with two equivalent Mg(3)Ca2Mg8Cd2 cuboctahedra; edges with two equivalent Mg(4)Mg10Cd2 cuboctahedra; edges with two equivalent Cd(1)Ca2Mg10 cuboctahedra; edges with four equivalent Ca(1)Mg10Cd2 cuboctahedra; edges with four equivalent Mg(2)Ca2Mg10 cuboctahedra; edges with four equivalent Mg(1)Ca2Mg8Cd2 cuboctahedra; faces with two equivalent Ca(1)Mg10Cd2 cuboctahedra; faces with two equivalent Mg(2)Ca2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra; faces with two equivalent Cd(1)Ca2Mg10 cuboctahedra; faces with four Mg(3,3)Ca2Mg8Cd2 cuboctahedra; and faces with eight Mg(1,1,1)Ca2Mg8Cd2 cuboctahedra. In the fifth Mg site, Mg(3) is bonded to two equivalent Ca(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Cd(1) atoms to form distorted MgCa2Mg8Cd2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Cd2 cuboctahedra; corners with four equivalent Cd(1)Ca2Mg10 cuboctahedra; corners with ten Mg(3,3)Ca2Mg8Cd2 cuboctahedra; edges with two equivalent Mg(3)Ca2Mg8Cd2 cuboctahedra; edges with two equivalent Mg(4)Mg10Cd2 cuboctahedra; edges with two equivalent Cd(1)Ca2Mg10 cuboctahedra; edges with four equivalent Ca(1)Mg10Cd2 cuboctahedra; edges with four equivalent Mg(2)Ca2Mg10 cuboctahedra; edges with four equivalent Mg(1)Ca2Mg8Cd2 cuboctahedra; faces with two equivalent Ca(1)Mg10Cd2 cuboctahedra; faces with two equivalent Mg(2)Ca2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra; faces with two equivalent Cd(1)Ca2Mg10 cuboctahedra; faces with four Mg(3,3)Ca2Mg8Cd2 cuboctahedra; and faces with eight Mg(1,1)Ca2Mg8Cd2 cuboctahedra. In the sixth Mg site, Mg(4) is bonded to two equivalent Mg(2); four Mg(1,1); four Mg(3,3); and two equivalent Cd(1) atoms to form distorted MgMg10Cd2 cuboctahedra that share corners with four equivalent Cd(1)Ca2Mg10 cuboctahedra; corners with six equivalent Mg(4)Mg10Cd2 cuboctahedra; corners with eight Mg(3,3)Ca2Mg8Cd2 cuboctahedra; edges with two equivalent Cd(1)Ca2Mg10 cuboctahedra; edges with four equivalent Mg(2)Ca2Mg10 cuboctahedra; edges with four Mg(3,3)Ca2Mg8Cd2 cuboctahedra; edges with eight Mg(1,1,1)Ca2Mg8Cd2 cuboctahedra; faces with two equivalent Mg(2)Ca2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra; faces with two equivalent Cd(1)Ca2Mg10 cuboctahedra; faces with four Mg(1,1)Ca2Mg8Cd2 cuboctahedra; faces with four Mg(3,3)Ca2Mg8Cd2 cuboctahedra; and faces with six equivalent Ca(1)Mg10Cd2 cuboctahedra. In the seventh Mg site, Mg(1) is bonded to two equivalent Ca(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Cd(1) atoms to form distorted MgCa2Mg8Cd2 cuboctahedra that share corners with four equivalent Ca(1)Mg10Cd2 cuboctahedra; corners with four equivalent Mg(2)Ca2Mg10 cuboctahedra; corners with ten Mg(1,1)Ca2Mg8Cd2 cuboctahedra; edges with two equivalent Ca(1)Mg10Cd2 cuboctahedra; edges with two equivalent Mg(2)Ca2Mg10 cuboctahedra; edges with two equivalent Mg(1)Ca2Mg8Cd2 cuboctahedra; edges with four equivalent Mg(3)Ca2Mg8Cd2 cuboctahedra; edges with four equivalent Mg(4)Mg10Cd2 cuboctahedra; edges with four equivalent Cd(1)Ca2Mg10 cuboctahedra; faces with two equivalent Ca(1)Mg10Cd2 cuboctahedra; faces with two equivalent Mg(2)Ca2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra; faces with two equivalent Cd(1)Ca2Mg10 cuboctahedra; faces with four Mg(1,1)Ca2Mg8Cd2 cuboctahedra; and faces with eight Mg(3,3)Ca2Mg8Cd2 cuboctahedra. Cd(1) is bonded to two equivalent Ca(1); two equivalent Mg(4); four Mg(1,1); and four Mg(3,3) atoms to form CdCa2Mg10 cuboctahedra that share corners with four equivalent Mg(4)Mg10Cd2 cuboctahedra; corners with six equivalent Cd(1)Ca2Mg10 cuboctahedra; corners with eight Mg(3,3)Ca2Mg8Cd2 cuboctahedra; edges with two equivalent Mg(4)Mg10Cd2 cuboctahedra; edges with four equivalent Ca(1)Mg10Cd2 cuboctahedra; edges with four Mg(3,3)Ca2Mg8Cd2 cuboctahedra; edges with eight Mg(1,1,1)Ca2Mg8Cd2 cuboctahedra; faces with two equivalent Ca(1)Mg10Cd2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra; faces with two equivalent Cd(1)Ca2Mg10 cuboctahedra; faces with four Mg(1,1)Ca2Mg8Cd2 cuboctahedra; faces with four Mg(3,3)Ca2Mg8Cd2 cuboctahedra; and faces with six equivalent Mg(2)Ca2Mg10 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_CaMg6Cd
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.202
_cell_length_b   6.612
_cell_length_c   6.612
_cell_angle_alpha   119.826
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   197.312
_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
  Ca  Ca0  1  0.000  0.169  0.831  1.0
  Cd  Cd1  1  0.500  0.336  0.664  1.0
  Mg  Mg2  1  1.000  0.665  0.828  1.0
  Mg  Mg3  1  1.000  0.172  0.335  1.0
  Mg  Mg4  1  0.000  0.664  0.336  1.0
  Mg  Mg5  1  0.500  0.824  0.662  1.0
  Mg  Mg6  1  0.500  0.338  0.176  1.0
  Mg  Mg7  1  0.500  0.833  0.167  1.0
[/CIF]
.