The material structure described by Ca6CuCd32 is Frank-Kasper $\mu$ Phase-derived structured and crystallizes in the cubic Pm-3 space group. Ca(1) is bonded in a 14-coordinate geometry to two equivalent Cd(3), four equivalent Cd(1), four equivalent Cd(2), and six equivalent Cd(4) atoms. Cu(1) is bonded in a cuboctahedral geometry to twelve equivalent Cd(4) atoms. There are four inequivalent Cd sites. In the first Cd site, Cd(1) is bonded in a 8-coordinate geometry to four equivalent Ca(1), two equivalent Cd(3), and two equivalent Cd(4) atoms. In the second Cd site, Cd(2) is bonded in a 9-coordinate geometry to three equivalent Ca(1), three equivalent Cd(3), and three equivalent Cd(4) atoms. In the third Cd site, Cd(3) is bonded to two equivalent Ca(1), two equivalent Cd(1), four equivalent Cd(2), and four equivalent Cd(3) atoms to form distorted face-sharing CdCa2Cd10 cuboctahedra. In the fourth Cd site, Cd(4) is bonded in a 12-coordinate geometry to three equivalent Ca(1), one Cu(1), one Cd(1), two equivalent Cd(2), and five equivalent Cd(4) atoms. is represented by the Crystallographic Information File (CIF) [CIF]
data_Ca6Cd32Cu
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   9.730
_cell_length_b   9.730
_cell_length_c   9.730
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   921.277
_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  0.203  0.000  0.500  1.0
  Ca  Ca1  1  0.797  0.000  0.500  1.0
  Ca  Ca2  1  0.500  0.203  0.000  1.0
  Ca  Ca3  1  0.500  0.797  0.000  1.0
  Ca  Ca4  1  0.000  0.500  0.203  1.0
  Ca  Ca5  1  0.000  0.500  0.797  1.0
  Cd  Cd6  1  0.321  0.500  0.000  1.0
  Cd  Cd7  1  0.679  0.500  0.000  1.0
  Cd  Cd8  1  0.000  0.321  0.500  1.0
  Cd  Cd9  1  0.000  0.679  0.500  1.0
  Cd  Cd10  1  0.500  0.000  0.321  1.0
  Cd  Cd11  1  0.500  0.000  0.679  1.0
  Cd  Cd12  1  0.281  0.281  0.281  1.0
  Cd  Cd13  1  0.719  0.719  0.719  1.0
  Cd  Cd14  1  0.719  0.719  0.281  1.0
  Cd  Cd15  1  0.719  0.281  0.719  1.0
  Cd  Cd16  1  0.281  0.281  0.719  1.0
  Cd  Cd17  1  0.281  0.719  0.281  1.0
  Cd  Cd18  1  0.281  0.719  0.719  1.0
  Cd  Cd19  1  0.719  0.281  0.281  1.0
  Cd  Cd20  1  0.257  0.500  0.500  1.0
  Cd  Cd21  1  0.743  0.500  0.500  1.0
  Cd  Cd22  1  0.500  0.257  0.500  1.0
  Cd  Cd23  1  0.500  0.743  0.500  1.0
  Cd  Cd24  1  0.500  0.500  0.257  1.0
  Cd  Cd25  1  0.500  0.500  0.743  1.0
  Cd  Cd26  1  0.000  0.149  0.258  1.0
  Cd  Cd27  1  0.000  0.851  0.742  1.0
  Cd  Cd28  1  0.000  0.851  0.258  1.0
  Cd  Cd29  1  0.000  0.149  0.742  1.0
  Cd  Cd30  1  0.258  0.000  0.149  1.0
  Cd  Cd31  1  0.742  0.000  0.851  1.0
  Cd  Cd32  1  0.258  0.000  0.851  1.0
  Cd  Cd33  1  0.742  0.000  0.149  1.0
  Cd  Cd34  1  0.149  0.258  0.000  1.0
  Cd  Cd35  1  0.851  0.742  0.000  1.0
  Cd  Cd36  1  0.149  0.742  0.000  1.0
  Cd  Cd37  1  0.851  0.258  0.000  1.0
  Cu  Cu38  1  0.000  0.000  0.000  1.0
[/CIF]
.
The material structure described by Ca6CuCd32 is Frank-Kasper $\mu$ Phase-derived structured and crystallizes in the cubic Pm-3 space group. Ca(1) is bonded in a 14-coordinate geometry to two equivalent Cd(3), four equivalent Cd(1), four equivalent Cd(2), and six equivalent Cd(4) atoms. Cu(1) is bonded in a cuboctahedral geometry to twelve equivalent Cd(4) atoms. There are four inequivalent Cd sites. In the first Cd site, Cd(1) is bonded in a 8-coordinate geometry to four equivalent Ca(1), two equivalent Cd(3), and two equivalent Cd(4) atoms. In the second Cd site, Cd(2) is bonded in a 9-coordinate geometry to three equivalent Ca(1), three equivalent Cd(3), and three equivalent Cd(4) atoms. In the third Cd site, Cd(3) is bonded to two equivalent Ca(1), two equivalent Cd(1), four equivalent Cd(2), and four equivalent Cd(3) atoms to form distorted face-sharing CdCa2Cd10 cuboctahedra. In the fourth Cd site, Cd(4) is bonded in a 12-coordinate geometry to three equivalent Ca(1), one Cu(1), one Cd(1), two equivalent Cd(2), and five equivalent Cd(4) atoms. is represented by the Crystallographic Information File (CIF) [CIF]
data_Ca6Cd32Cu
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   9.730
_cell_length_b   9.730
_cell_length_c   9.730
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   921.277
_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  0.203  0.000  0.500  1.0
  Ca  Ca1  1  0.797  0.000  0.500  1.0
  Ca  Ca2  1  0.500  0.203  0.000  1.0
  Ca  Ca3  1  0.500  0.797  0.000  1.0
  Ca  Ca4  1  0.000  0.500  0.203  1.0
  Ca  Ca5  1  0.000  0.500  0.797  1.0
  Cd  Cd6  1  0.321  0.500  0.000  1.0
  Cd  Cd7  1  0.679  0.500  0.000  1.0
  Cd  Cd8  1  0.000  0.321  0.500  1.0
  Cd  Cd9  1  0.000  0.679  0.500  1.0
  Cd  Cd10  1  0.500  0.000  0.321  1.0
  Cd  Cd11  1  0.500  0.000  0.679  1.0
  Cd  Cd12  1  0.281  0.281  0.281  1.0
  Cd  Cd13  1  0.719  0.719  0.719  1.0
  Cd  Cd14  1  0.719  0.719  0.281  1.0
  Cd  Cd15  1  0.719  0.281  0.719  1.0
  Cd  Cd16  1  0.281  0.281  0.719  1.0
  Cd  Cd17  1  0.281  0.719  0.281  1.0
  Cd  Cd18  1  0.281  0.719  0.719  1.0
  Cd  Cd19  1  0.719  0.281  0.281  1.0
  Cd  Cd20  1  0.257  0.500  0.500  1.0
  Cd  Cd21  1  0.743  0.500  0.500  1.0
  Cd  Cd22  1  0.500  0.257  0.500  1.0
  Cd  Cd23  1  0.500  0.743  0.500  1.0
  Cd  Cd24  1  0.500  0.500  0.257  1.0
  Cd  Cd25  1  0.500  0.500  0.743  1.0
  Cd  Cd26  1  0.000  0.149  0.258  1.0
  Cd  Cd27  1  0.000  0.851  0.742  1.0
  Cd  Cd28  1  0.000  0.851  0.258  1.0
  Cd  Cd29  1  0.000  0.149  0.742  1.0
  Cd  Cd30  1  0.258  0.000  0.149  1.0
  Cd  Cd31  1  0.742  0.000  0.851  1.0
  Cd  Cd32  1  0.258  0.000  0.851  1.0
  Cd  Cd33  1  0.742  0.000  0.149  1.0
  Cd  Cd34  1  0.149  0.258  0.000  1.0
  Cd  Cd35  1  0.851  0.742  0.000  1.0
  Cd  Cd36  1  0.149  0.742  0.000  1.0
  Cd  Cd37  1  0.851  0.258  0.000  1.0
  Cu  Cu38  1  0.000  0.000  0.000  1.0
[/CIF]
.