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.
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. Both La(1)-Rh(3) bond lengths are 2.92 Å. 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. The La(2)-Rh(4) bond length is 2.99 Å. Both La(2)-Rh(2) bond lengths are 2.95 Å. The La(2)-Cd(2) bond length is 3.64 Å. Both La(2)-Cd(1) bond lengths are 3.59 Å. 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. Both La(3)-Rh(1) bond lengths are 2.89 Å. Both La(3)-Rh(2) bond lengths are 3.70 Å. The La(3)-Cd(2) bond length is 3.46 Å. In the fourth La site, La(4) is bonded in a 3-coordinate geometry to two equivalent Rh(3) and one Cd(1) atom. Both La(4)-Rh(3) bond lengths are 3.65 Å. The La(4)-Cd(1) bond length is 3.49 Å. 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. The La(5)-Rh(2) bond length is 3.42 Å. The La(5)-Rh(4) bond length is 3.67 Å. Both La(5)-Cd(1) bond lengths are 3.49 Å. 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. Both La(6)-Rh(2) bond lengths are 2.91 Å. The La(6)-Cd(1) bond length is 3.79 Å. The La(6)-Cd(2) bond length is 3.73 Å. In the seventh La site, La(7) is bonded in a 3-coordinate geometry to one Rh(1) and two equivalent Rh(3) atoms. The La(7)-Rh(1) bond length is 3.07 Å. Both La(7)-Rh(3) bond lengths are 3.02 Å. 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. The La(8)-Rh(3) bond length is 2.85 Å. The La(8)-Rh(4) bond length is 2.92 Å. Both La(8)-Cd(1) bond lengths are 3.73 Å. In the ninth La site, La(9) is bonded in a 3-coordinate geometry to one Rh(2) and two equivalent Rh(1) atoms. The La(9)-Rh(2) bond length is 3.22 Å. Both La(9)-Rh(1) bond lengths are 2.95 Å. In the tenth La site, La(10) is bonded in a 3-coordinate geometry to three equivalent Rh(2) atoms. All La(10)-Rh(2) bond lengths are 3.00 Å. 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. All La(11)-Rh(3) bond lengths are 2.94 Å. All La(11)-Cd(1) bond lengths are 3.59 Å. In the twelfth La site, La(12) is bonded in a 3-coordinate geometry to three equivalent Rh(1) atoms. All La(12)-Rh(1) bond lengths are 2.99 Å. 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. All Cd(2)-Cd(1) bond lengths are 3.18 Å. 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. Both Cd(1)-Cd(1) bond lengths are 3.23 Å.