The material structure described by La15Rh5Cd2 crystallizes in the trigonal R3m space group. There are twelve inequivalent La sites. In the first La site, La(1) is bonded in a distorted water-like geometry to two equivalent Rh(3) atoms. In the second La site, La(2) is bonded in a 3-coordinate geometry to one Rh(4), two equivalent Rh(2), one Cd(2), and two equivalent Cd(1) atoms. In the third La site, La(3) is bonded in a distorted water-like geometry to two equivalent Rh(1), two equivalent Rh(2), and one Cd(2) atom. In the fourth La site, La(4) is bonded in a 3-coordinate geometry to two equivalent Rh(3) and one Cd(1) atom. In the fifth La site, La(5) is bonded in a 4-coordinate geometry to one Rh(2), one Rh(4), and two equivalent Cd(1) atoms. In the sixth La site, La(6) is bonded in a distorted bent 150 degrees geometry to two equivalent Rh(2), one Cd(1), and one Cd(2) atom. In the seventh La site, La(7) is bonded in a 3-coordinate geometry to one Rh(1) and two equivalent Rh(3) atoms. In the eighth La site, La(8) is bonded in a distorted bent 150 degrees geometry to one Rh(3), one Rh(4), and two equivalent Cd(1) atoms. In the ninth La site, La(9) is bonded in a 3-coordinate geometry to one Rh(2) and two equivalent Rh(1) atoms. In the tenth La site, La(10) is bonded in a 3-coordinate geometry to three equivalent Rh(2) atoms. In the eleventh La site, La(11) is bonded in a 3-coordinate geometry to three equivalent Rh(3) and three equivalent Cd(1) atoms. In the twelfth La site, La(12) is bonded in a 3-coordinate geometry to three equivalent Rh(1) atoms. There are four inequivalent Rh sites. In the first Rh site, Rh(1) is bonded in a 6-coordinate geometry to one La(12), one La(7), two equivalent La(3), and two equivalent La(9) atoms. In the second Rh site, Rh(2) is bonded in a 9-coordinate geometry to one La(10), one La(5), one La(9), two equivalent La(2), two equivalent La(3), and two equivalent La(6) atoms. In the third Rh site, Rh(3) is bonded in a 6-coordinate geometry to one La(11), one La(8), two equivalent La(1), two equivalent La(4), and two equivalent La(7) atoms. In the fourth Rh site, Rh(4) is bonded in a 6-coordinate geometry to three equivalent La(2), three equivalent La(5), and three equivalent La(8) atoms. There are two inequivalent Cd sites. In the first Cd site, Cd(2) is bonded to three equivalent La(2), three equivalent La(3), three equivalent La(6), and three equivalent Cd(1) atoms to form face-sharing CdLa9Cd3 cuboctahedra. In the second Cd site, Cd(1) is bonded to one La(11), one La(4), one La(6), two equivalent La(2), two equivalent La(5), two equivalent La(8), one Cd(2), and two equivalent Cd(1) atoms to form a mixture of distorted face and corner-sharing CdLa9Cd3 cuboctahedra. is represented by the CIF card [CIF]
data_La15Cd2Rh5
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   15.962
_cell_length_b   15.962
_cell_length_c   15.962
_cell_angle_alpha   37.225
_cell_angle_beta   37.225
_cell_angle_gamma   37.225
_symmetry_Int_Tables_number   1
_cell_volume   1334.108
_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  0.320  0.942  0.320  1.0
  La  La1  1  0.320  0.320  0.942  1.0
  La  La2  1  0.942  0.320  0.320  1.0
  La  La3  1  0.173  0.779  0.173  1.0
  La  La4  1  0.173  0.173  0.779  1.0
  La  La5  1  0.779  0.173  0.173  1.0
  La  La6  1  0.324  0.706  0.324  1.0
  La  La7  1  0.324  0.324  0.706  1.0
  La  La8  1  0.706  0.324  0.324  1.0
  La  La9  1  0.477  0.849  0.477  1.0
  La  La10  1  0.477  0.477  0.849  1.0
  La  La11  1  0.849  0.477  0.477  1.0
  La  La12  1  0.798  0.420  0.798  1.0
  La  La13  1  0.798  0.798  0.420  1.0
  La  La14  1  0.420  0.798  0.798  1.0
  La  La15  1  0.617  0.995  0.617  1.0
  La  La16  1  0.617  0.617  0.995  1.0
  La  La17  1  0.995  0.617  0.617  1.0
  La  La18  1  0.759  0.134  0.759  1.0
  La  La19  1  0.759  0.759  0.134  1.0
  La  La20  1  0.134  0.759  0.759  1.0
  La  La21  1  0.083  0.706  0.083  1.0
  La  La22  1  0.083  0.083  0.706  1.0
  La  La23  1  0.706  0.083  0.083  1.0
  La  La24  1  0.940  0.560  0.940  1.0
  La  La25  1  0.940  0.940  0.560  1.0
  La  La26  1  0.560  0.940  0.940  1.0
  La  La27  1  0.112  0.112  0.112  1.0
  La  La28  1  0.265  0.265  0.265  1.0
  La  La29  1  0.522  0.522  0.522  1.0
  Cd  Cd30  1  0.440  0.123  0.440  1.0
  Cd  Cd31  1  0.440  0.440  0.123  1.0
  Cd  Cd32  1  0.123  0.440  0.440  1.0
  Cd  Cd33  1  0.392  0.392  0.392  1.0
  Rh  Rh34  1  0.632  0.196  0.632  1.0
  Rh  Rh35  1  0.632  0.632  0.196  1.0
  Rh  Rh36  1  0.196  0.632  0.632  1.0
  Rh  Rh37  1  0.931  0.372  0.931  1.0
  Rh  Rh38  1  0.931  0.931  0.372  1.0
  Rh  Rh39  1  0.372  0.931  0.931  1.0
  Rh  Rh40  1  0.089  0.517  0.089  1.0
  Rh  Rh41  1  0.089  0.089  0.517  1.0
  Rh  Rh42  1  0.517  0.089  0.089  1.0
  Rh  Rh43  1  1.000  1.000  1.000  1.0
[/CIF]
.
The material structure described by La15Rh5Cd2 crystallizes in the trigonal R3m space group. There are twelve inequivalent La sites. In the first La site, La(1) is bonded in a distorted water-like geometry to two equivalent Rh(3) atoms. In the second La site, La(2) is bonded in a 3-coordinate geometry to one Rh(4), two equivalent Rh(2), one Cd(2), and two equivalent Cd(1) atoms. In the third La site, La(3) is bonded in a distorted water-like geometry to two equivalent Rh(1), two equivalent Rh(2), and one Cd(2) atom. In the fourth La site, La(4) is bonded in a 3-coordinate geometry to two equivalent Rh(3) and one Cd(1) atom. In the fifth La site, La(5) is bonded in a 4-coordinate geometry to one Rh(2), one Rh(4), and two equivalent Cd(1) atoms. In the sixth La site, La(6) is bonded in a distorted bent 150 degrees geometry to two equivalent Rh(2), one Cd(1), and one Cd(2) atom. In the seventh La site, La(7) is bonded in a 3-coordinate geometry to one Rh(1) and two equivalent Rh(3) atoms. In the eighth La site, La(8) is bonded in a distorted bent 150 degrees geometry to one Rh(3), one Rh(4), and two equivalent Cd(1) atoms. In the ninth La site, La(9) is bonded in a 3-coordinate geometry to one Rh(2) and two equivalent Rh(1) atoms. In the tenth La site, La(10) is bonded in a 3-coordinate geometry to three equivalent Rh(2) atoms. In the eleventh La site, La(11) is bonded in a 3-coordinate geometry to three equivalent Rh(3) and three equivalent Cd(1) atoms. In the twelfth La site, La(12) is bonded in a 3-coordinate geometry to three equivalent Rh(1) atoms. There are four inequivalent Rh sites. In the first Rh site, Rh(1) is bonded in a 6-coordinate geometry to one La(12), one La(7), two equivalent La(3), and two equivalent La(9) atoms. In the second Rh site, Rh(2) is bonded in a 9-coordinate geometry to one La(10), one La(5), one La(9), two equivalent La(2), two equivalent La(3), and two equivalent La(6) atoms. In the third Rh site, Rh(3) is bonded in a 6-coordinate geometry to one La(11), one La(8), two equivalent La(1), two equivalent La(4), and two equivalent La(7) atoms. In the fourth Rh site, Rh(4) is bonded in a 6-coordinate geometry to three equivalent La(2), three equivalent La(5), and three equivalent La(8) atoms. There are two inequivalent Cd sites. In the first Cd site, Cd(2) is bonded to three equivalent La(2), three equivalent La(3), three equivalent La(6), and three equivalent Cd(1) atoms to form face-sharing CdLa9Cd3 cuboctahedra. In the second Cd site, Cd(1) is bonded to one La(11), one La(4), one La(6), two equivalent La(2), two equivalent La(5), two equivalent La(8), one Cd(2), and two equivalent Cd(1) atoms to form a mixture of distorted face and corner-sharing CdLa9Cd3 cuboctahedra. is represented by the CIF card [CIF]
data_La15Cd2Rh5
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   15.962
_cell_length_b   15.962
_cell_length_c   15.962
_cell_angle_alpha   37.225
_cell_angle_beta   37.225
_cell_angle_gamma   37.225
_symmetry_Int_Tables_number   1
_cell_volume   1334.108
_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  0.320  0.942  0.320  1.0
  La  La1  1  0.320  0.320  0.942  1.0
  La  La2  1  0.942  0.320  0.320  1.0
  La  La3  1  0.173  0.779  0.173  1.0
  La  La4  1  0.173  0.173  0.779  1.0
  La  La5  1  0.779  0.173  0.173  1.0
  La  La6  1  0.324  0.706  0.324  1.0
  La  La7  1  0.324  0.324  0.706  1.0
  La  La8  1  0.706  0.324  0.324  1.0
  La  La9  1  0.477  0.849  0.477  1.0
  La  La10  1  0.477  0.477  0.849  1.0
  La  La11  1  0.849  0.477  0.477  1.0
  La  La12  1  0.798  0.420  0.798  1.0
  La  La13  1  0.798  0.798  0.420  1.0
  La  La14  1  0.420  0.798  0.798  1.0
  La  La15  1  0.617  0.995  0.617  1.0
  La  La16  1  0.617  0.617  0.995  1.0
  La  La17  1  0.995  0.617  0.617  1.0
  La  La18  1  0.759  0.134  0.759  1.0
  La  La19  1  0.759  0.759  0.134  1.0
  La  La20  1  0.134  0.759  0.759  1.0
  La  La21  1  0.083  0.706  0.083  1.0
  La  La22  1  0.083  0.083  0.706  1.0
  La  La23  1  0.706  0.083  0.083  1.0
  La  La24  1  0.940  0.560  0.940  1.0
  La  La25  1  0.940  0.940  0.560  1.0
  La  La26  1  0.560  0.940  0.940  1.0
  La  La27  1  0.112  0.112  0.112  1.0
  La  La28  1  0.265  0.265  0.265  1.0
  La  La29  1  0.522  0.522  0.522  1.0
  Cd  Cd30  1  0.440  0.123  0.440  1.0
  Cd  Cd31  1  0.440  0.440  0.123  1.0
  Cd  Cd32  1  0.123  0.440  0.440  1.0
  Cd  Cd33  1  0.392  0.392  0.392  1.0
  Rh  Rh34  1  0.632  0.196  0.632  1.0
  Rh  Rh35  1  0.632  0.632  0.196  1.0
  Rh  Rh36  1  0.196  0.632  0.632  1.0
  Rh  Rh37  1  0.931  0.372  0.931  1.0
  Rh  Rh38  1  0.931  0.931  0.372  1.0
  Rh  Rh39  1  0.372  0.931  0.931  1.0
  Rh  Rh40  1  0.089  0.517  0.089  1.0
  Rh  Rh41  1  0.089  0.089  0.517  1.0
  Rh  Rh42  1  0.517  0.089  0.089  1.0
  Rh  Rh43  1  1.000  1.000  1.000  1.0
[/CIF]
.