The crystal structure described by LaNi2Cd20 crystallizes in the cubic Fd-3m space group. La(1) is bonded in a 16-coordinate geometry to four equivalent Cd(3) and twelve equivalent Cd(1) atoms. Ni(1) is bonded to six equivalent Cd(1) and six equivalent Cd(2) atoms to form NiCd12 cuboctahedra that share corners with six equivalent Ni(1)Cd12 cuboctahedra, edges with eighteen equivalent Cd(1)LaCd10Ni cuboctahedra, and faces with six equivalent Cd(1)LaCd10Ni cuboctahedra. There are three inequivalent Cd sites. In the first Cd site, Cd(2) is bonded in a 12-coordinate geometry to two equivalent Ni(1), four equivalent Cd(2), and six equivalent Cd(1) atoms. In the second Cd site, Cd(1) is bonded to one La(1), one Ni(1), two equivalent Cd(3), three equivalent Cd(2), and five equivalent Cd(1) atoms to form distorted CdLaCd10Ni cuboctahedra that share corners with fifteen equivalent Cd(1)LaCd10Ni cuboctahedra, edges with two equivalent Cd(1)LaCd10Ni cuboctahedra, edges with three equivalent Ni(1)Cd12 cuboctahedra,  a faceface with one Ni(1)Cd12 cuboctahedra, and faces with fifteen equivalent Cd(1)LaCd10Ni cuboctahedra. In the third Cd site, Cd(3) is bonded in a distorted linear geometry to two equivalent La(1) and twelve equivalent Cd(1) atoms. is represented by the Crystallographic Information File (CIF) [CIF]
data_La(Cd10Ni)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   11.203
_cell_length_b   11.203
_cell_length_c   11.203
_cell_angle_alpha   60.000
_cell_angle_beta   60.000
_cell_angle_gamma   60.000
_symmetry_Int_Tables_number   1
_cell_volume   994.226
_cell_formula_units_Z   2
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
  La  La0  1  0.500  0.500  0.500  1.0
  La  La1  1  0.750  0.750  0.750  1.0
  Cd  Cd2  1  0.569  0.301  0.301  1.0
  Cd  Cd3  1  0.301  0.569  0.830  1.0
  Cd  Cd4  1  0.301  0.830  0.569  1.0
  Cd  Cd5  1  0.830  0.301  0.301  1.0
  Cd  Cd6  1  0.301  0.301  0.569  1.0
  Cd  Cd7  1  0.569  0.830  0.301  1.0
  Cd  Cd8  1  0.830  0.569  0.301  1.0
  Cd  Cd9  1  0.301  0.301  0.830  1.0
  Cd  Cd10  1  0.301  0.569  0.301  1.0
  Cd  Cd11  1  0.830  0.301  0.569  1.0
  Cd  Cd12  1  0.569  0.301  0.830  1.0
  Cd  Cd13  1  0.301  0.830  0.301  1.0
  Cd  Cd14  1  0.681  0.949  0.949  1.0
  Cd  Cd15  1  0.949  0.681  0.420  1.0
  Cd  Cd16  1  0.949  0.420  0.681  1.0
  Cd  Cd17  1  0.420  0.949  0.949  1.0
  Cd  Cd18  1  0.949  0.949  0.681  1.0
  Cd  Cd19  1  0.681  0.420  0.949  1.0
  Cd  Cd20  1  0.420  0.681  0.949  1.0
  Cd  Cd21  1  0.949  0.949  0.420  1.0
  Cd  Cd22  1  0.949  0.681  0.949  1.0
  Cd  Cd23  1  0.420  0.949  0.681  1.0
  Cd  Cd24  1  0.681  0.949  0.420  1.0
  Cd  Cd25  1  0.949  0.420  0.949  1.0
  Cd  Cd26  1  0.863  0.863  0.137  1.0
  Cd  Cd27  1  0.137  0.137  0.863  1.0
  Cd  Cd28  1  0.863  0.137  0.863  1.0
  Cd  Cd29  1  0.137  0.863  0.137  1.0
  Cd  Cd30  1  0.137  0.863  0.863  1.0
  Cd  Cd31  1  0.863  0.137  0.137  1.0
  Cd  Cd32  1  0.387  0.387  0.113  1.0
  Cd  Cd33  1  0.113  0.113  0.387  1.0
  Cd  Cd34  1  0.387  0.113  0.387  1.0
  Cd  Cd35  1  0.113  0.387  0.113  1.0
  Cd  Cd36  1  0.113  0.387  0.387  1.0
  Cd  Cd37  1  0.387  0.113  0.113  1.0
  Cd  Cd38  1  0.125  0.625  0.625  1.0
  Cd  Cd39  1  0.625  0.125  0.625  1.0
  Cd  Cd40  1  0.625  0.625  0.125  1.0
  Cd  Cd41  1  0.625  0.625  0.625  1.0
  Ni  Ni42  1  0.625  0.125  0.125  1.0
  Ni  Ni43  1  0.125  0.625  0.125  1.0
  Ni  Ni44  1  0.125  0.125  0.625  1.0
  Ni  Ni45  1  0.125  0.125  0.125  1.0
[/CIF]
.
The crystal structure described by LaNi2Cd20 crystallizes in the cubic Fd-3m space group. La(1) is bonded in a 16-coordinate geometry to four equivalent Cd(3) and twelve equivalent Cd(1) atoms. Ni(1) is bonded to six equivalent Cd(1) and six equivalent Cd(2) atoms to form NiCd12 cuboctahedra that share corners with six equivalent Ni(1)Cd12 cuboctahedra, edges with eighteen equivalent Cd(1)LaCd10Ni cuboctahedra, and faces with six equivalent Cd(1)LaCd10Ni cuboctahedra. There are three inequivalent Cd sites. In the first Cd site, Cd(2) is bonded in a 12-coordinate geometry to two equivalent Ni(1), four equivalent Cd(2), and six equivalent Cd(1) atoms. In the second Cd site, Cd(1) is bonded to one La(1), one Ni(1), two equivalent Cd(3), three equivalent Cd(2), and five equivalent Cd(1) atoms to form distorted CdLaCd10Ni cuboctahedra that share corners with fifteen equivalent Cd(1)LaCd10Ni cuboctahedra, edges with two equivalent Cd(1)LaCd10Ni cuboctahedra, edges with three equivalent Ni(1)Cd12 cuboctahedra,  a faceface with one Ni(1)Cd12 cuboctahedra, and faces with fifteen equivalent Cd(1)LaCd10Ni cuboctahedra. In the third Cd site, Cd(3) is bonded in a distorted linear geometry to two equivalent La(1) and twelve equivalent Cd(1) atoms. is represented by the Crystallographic Information File (CIF) [CIF]
data_La(Cd10Ni)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   11.203
_cell_length_b   11.203
_cell_length_c   11.203
_cell_angle_alpha   60.000
_cell_angle_beta   60.000
_cell_angle_gamma   60.000
_symmetry_Int_Tables_number   1
_cell_volume   994.226
_cell_formula_units_Z   2
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
  La  La0  1  0.500  0.500  0.500  1.0
  La  La1  1  0.750  0.750  0.750  1.0
  Cd  Cd2  1  0.569  0.301  0.301  1.0
  Cd  Cd3  1  0.301  0.569  0.830  1.0
  Cd  Cd4  1  0.301  0.830  0.569  1.0
  Cd  Cd5  1  0.830  0.301  0.301  1.0
  Cd  Cd6  1  0.301  0.301  0.569  1.0
  Cd  Cd7  1  0.569  0.830  0.301  1.0
  Cd  Cd8  1  0.830  0.569  0.301  1.0
  Cd  Cd9  1  0.301  0.301  0.830  1.0
  Cd  Cd10  1  0.301  0.569  0.301  1.0
  Cd  Cd11  1  0.830  0.301  0.569  1.0
  Cd  Cd12  1  0.569  0.301  0.830  1.0
  Cd  Cd13  1  0.301  0.830  0.301  1.0
  Cd  Cd14  1  0.681  0.949  0.949  1.0
  Cd  Cd15  1  0.949  0.681  0.420  1.0
  Cd  Cd16  1  0.949  0.420  0.681  1.0
  Cd  Cd17  1  0.420  0.949  0.949  1.0
  Cd  Cd18  1  0.949  0.949  0.681  1.0
  Cd  Cd19  1  0.681  0.420  0.949  1.0
  Cd  Cd20  1  0.420  0.681  0.949  1.0
  Cd  Cd21  1  0.949  0.949  0.420  1.0
  Cd  Cd22  1  0.949  0.681  0.949  1.0
  Cd  Cd23  1  0.420  0.949  0.681  1.0
  Cd  Cd24  1  0.681  0.949  0.420  1.0
  Cd  Cd25  1  0.949  0.420  0.949  1.0
  Cd  Cd26  1  0.863  0.863  0.137  1.0
  Cd  Cd27  1  0.137  0.137  0.863  1.0
  Cd  Cd28  1  0.863  0.137  0.863  1.0
  Cd  Cd29  1  0.137  0.863  0.137  1.0
  Cd  Cd30  1  0.137  0.863  0.863  1.0
  Cd  Cd31  1  0.863  0.137  0.137  1.0
  Cd  Cd32  1  0.387  0.387  0.113  1.0
  Cd  Cd33  1  0.113  0.113  0.387  1.0
  Cd  Cd34  1  0.387  0.113  0.387  1.0
  Cd  Cd35  1  0.113  0.387  0.113  1.0
  Cd  Cd36  1  0.113  0.387  0.387  1.0
  Cd  Cd37  1  0.387  0.113  0.113  1.0
  Cd  Cd38  1  0.125  0.625  0.625  1.0
  Cd  Cd39  1  0.625  0.125  0.625  1.0
  Cd  Cd40  1  0.625  0.625  0.125  1.0
  Cd  Cd41  1  0.625  0.625  0.625  1.0
  Ni  Ni42  1  0.625  0.125  0.125  1.0
  Ni  Ni43  1  0.125  0.625  0.125  1.0
  Ni  Ni44  1  0.125  0.125  0.625  1.0
  Ni  Ni45  1  0.125  0.125  0.125  1.0
[/CIF]
.