Pd15Tl4Pb is Uranium Silicide-derived structured and crystallizes in the tetragonal P4/mmm space group. There are six inequivalent Pd sites. In the first Pd site, Pd(1) is bonded to eight equivalent Pd(4) and four equivalent Pb(1) atoms to form PdPd8Pb4 cuboctahedra that share corners with four equivalent Pd(1)Pd8Pb4 cuboctahedra, corners with eight equivalent Pd(2)Tl4Pd8 cuboctahedra, edges with eight equivalent Tl(1)Pd12 cuboctahedra, edges with sixteen equivalent Pd(4)Tl2Pd8Pb2 cuboctahedra, faces with two equivalent Pd(2)Tl4Pd8 cuboctahedra, faces with four equivalent Pd(1)Pd8Pb4 cuboctahedra, faces with four equivalent Pb(1)Pd12 cuboctahedra, and faces with eight equivalent Pd(4)Tl2Pd8Pb2 cuboctahedra. In the second Pd site, Pd(2) is bonded to four equivalent Pd(4), four equivalent Pd(5), and four equivalent Tl(1) atoms to form distorted PdTl4Pd8 cuboctahedra that share corners with four equivalent Pd(1)Pd8Pb4 cuboctahedra, corners with four equivalent Pd(2)Tl4Pd8 cuboctahedra, corners with four equivalent Pd(3)Tl4Pd8 cuboctahedra, edges with four equivalent Tl(2)Pd12 cuboctahedra, edges with four equivalent Pb(1)Pd12 cuboctahedra, edges with eight equivalent Pd(4)Tl2Pd8Pb2 cuboctahedra, edges with eight equivalent Pd(5)Tl4Pd8 cuboctahedra,  a faceface with one Pd(1)Pd8Pb4 cuboctahedra,  a faceface with one Pd(3)Tl4Pd8 cuboctahedra, faces with four equivalent Pd(4)Tl2Pd8Pb2 cuboctahedra, faces with four equivalent Pd(2)Tl4Pd8 cuboctahedra, faces with four equivalent Pd(5)Tl4Pd8 cuboctahedra, and faces with four equivalent Tl(1)Pd12 cuboctahedra. In the third Pd site, Pd(3) is bonded to four equivalent Pd(5), four equivalent Pd(6), and four equivalent Tl(2) atoms to form distorted PdTl4Pd8 cuboctahedra that share corners with four equivalent Pd(2)Tl4Pd8 cuboctahedra, corners with eight equivalent Pd(3)Tl4Pd8 cuboctahedra, edges with four equivalent Tl(1)Pd12 cuboctahedra, edges with four equivalent Tl(2)Pd12 cuboctahedra, edges with eight equivalent Pd(5)Tl4Pd8 cuboctahedra, edges with eight equivalent Pd(6)Tl4Pd8 cuboctahedra,  a faceface with one Pd(2)Tl4Pd8 cuboctahedra, faces with four equivalent Pd(5)Tl4Pd8 cuboctahedra, faces with four equivalent Pd(6)Tl4Pd8 cuboctahedra, faces with four equivalent Tl(2)Pd12 cuboctahedra, and faces with five equivalent Pd(3)Tl4Pd8 cuboctahedra. In the fourth Pd site, Pd(4) is bonded to two equivalent Pd(1), two equivalent Pd(2), four equivalent Pd(4), two equivalent Tl(1), and two equivalent Pb(1) atoms to form distorted PdTl2Pd8Pb2 cuboctahedra that share corners with four equivalent Pd(5)Tl4Pd8 cuboctahedra, corners with eight equivalent Pd(4)Tl2Pd8Pb2 cuboctahedra, edges with four equivalent Pd(1)Pd8Pb4 cuboctahedra, edges with four equivalent Pd(4)Tl2Pd8Pb2 cuboctahedra, edges with four equivalent Pd(2)Tl4Pd8 cuboctahedra, edges with four equivalent Pd(5)Tl4Pd8 cuboctahedra, edges with four equivalent Tl(1)Pd12 cuboctahedra, edges with four equivalent Pb(1)Pd12 cuboctahedra,  a faceface with one Pd(5)Tl4Pd8 cuboctahedra, faces with two equivalent Pd(1)Pd8Pb4 cuboctahedra, faces with two equivalent Pd(2)Tl4Pd8 cuboctahedra, faces with two equivalent Tl(1)Pd12 cuboctahedra, faces with two equivalent Pb(1)Pd12 cuboctahedra, and faces with nine equivalent Pd(4)Tl2Pd8Pb2 cuboctahedra. In the fifth Pd site, Pd(5) is bonded to two equivalent Pd(2), two equivalent Pd(3), four equivalent Pd(5), two equivalent Tl(1), and two equivalent Tl(2) atoms to form distorted PdTl4Pd8 cuboctahedra that share corners with four equivalent Pd(4)Tl2Pd8Pb2 cuboctahedra, corners with four equivalent Pd(5)Tl4Pd8 cuboctahedra, corners with four equivalent Pd(6)Tl4Pd8 cuboctahedra, edges with four equivalent Pd(4)Tl2Pd8Pb2 cuboctahedra, edges with four equivalent Pd(2)Tl4Pd8 cuboctahedra, edges with four equivalent Pd(3)Tl4Pd8 cuboctahedra, edges with four equivalent Pd(6)Tl4Pd8 cuboctahedra, edges with four equivalent Tl(1)Pd12 cuboctahedra, edges with four equivalent Tl(2)Pd12 cuboctahedra,  a faceface with one Pd(4)Tl2Pd8Pb2 cuboctahedra,  a faceface with one Pd(6)Tl4Pd8 cuboctahedra, faces with two equivalent Pd(2)Tl4Pd8 cuboctahedra, faces with two equivalent Pd(3)Tl4Pd8 cuboctahedra, faces with two equivalent Tl(1)Pd12 cuboctahedra, faces with two equivalent Tl(2)Pd12 cuboctahedra, and faces with eight equivalent Pd(5)Tl4Pd8 cuboctahedra. In the sixth Pd site, Pd(6) is bonded to four equivalent Pd(3), four equivalent Pd(6), and four equivalent Tl(2) atoms to form distorted PdTl4Pd8 cuboctahedra that share corners with four equivalent Pd(6)Tl4Pd8 cuboctahedra, corners with eight equivalent Pd(5)Tl4Pd8 cuboctahedra, edges with eight equivalent Pd(3)Tl4Pd8 cuboctahedra, edges with eight equivalent Pd(5)Tl4Pd8 cuboctahedra, edges with eight equivalent Tl(2)Pd12 cuboctahedra, faces with two equivalent Pd(5)Tl4Pd8 cuboctahedra, faces with four equivalent Pd(3)Tl4Pd8 cuboctahedra, faces with four equivalent Tl(2)Pd12 cuboctahedra, and faces with eight equivalent Pd(6)Tl4Pd8 cuboctahedra. There are two inequivalent Tl sites. In the first Tl site, Tl(1) is bonded to four equivalent Pd(2), four equivalent Pd(4), and four equivalent Pd(5) atoms to form TlPd12 cuboctahedra that share corners with four equivalent Tl(1)Pd12 cuboctahedra, corners with four equivalent Tl(2)Pd12 cuboctahedra, corners with four equivalent Pb(1)Pd12 cuboctahedra, edges with four equivalent Pd(1)Pd8Pb4 cuboctahedra, edges with four equivalent Pd(3)Tl4Pd8 cuboctahedra, edges with eight equivalent Pd(4)Tl2Pd8Pb2 cuboctahedra, edges with eight equivalent Pd(5)Tl4Pd8 cuboctahedra,  a faceface with one Tl(2)Pd12 cuboctahedra,  a faceface with one Pb(1)Pd12 cuboctahedra, faces with four equivalent Pd(4)Tl2Pd8Pb2 cuboctahedra, faces with four equivalent Pd(2)Tl4Pd8 cuboctahedra, faces with four equivalent Pd(5)Tl4Pd8 cuboctahedra, and faces with four equivalent Tl(1)Pd12 cuboctahedra. In the second Tl site, Tl(2) is bonded to four equivalent Pd(3), four equivalent Pd(5), and four equivalent Pd(6) atoms to form TlPd12 cuboctahedra that share corners with four equivalent Tl(1)Pd12 cuboctahedra, corners with eight equivalent Tl(2)Pd12 cuboctahedra, edges with four equivalent Pd(2)Tl4Pd8 cuboctahedra, edges with four equivalent Pd(3)Tl4Pd8 cuboctahedra, edges with eight equivalent Pd(5)Tl4Pd8 cuboctahedra, edges with eight equivalent Pd(6)Tl4Pd8 cuboctahedra,  a faceface with one Tl(1)Pd12 cuboctahedra, faces with four equivalent Pd(3)Tl4Pd8 cuboctahedra, faces with four equivalent Pd(5)Tl4Pd8 cuboctahedra, faces with four equivalent Pd(6)Tl4Pd8 cuboctahedra, and faces with five equivalent Tl(2)Pd12 cuboctahedra. Pb(1) is bonded to four equivalent Pd(1) and eight equivalent Pd(4) atoms to form PbPd12 cuboctahedra that share corners with four equivalent Pb(1)Pd12 cuboctahedra, corners with eight equivalent Tl(1)Pd12 cuboctahedra, edges with eight equivalent Pd(2)Tl4Pd8 cuboctahedra, edges with sixteen equivalent Pd(4)Tl2Pd8Pb2 cuboctahedra, faces with two equivalent Tl(1)Pd12 cuboctahedra, faces with four equivalent Pd(1)Pd8Pb4 cuboctahedra, faces with four equivalent Pb(1)Pd12 cuboctahedra, and faces with eight equivalent Pd(4)Tl2Pd8Pb2 cuboctahedra.
Pd15Tl4Pb is Uranium Silicide-derived structured and crystallizes in the tetragonal P4/mmm space group. There are six inequivalent Pd sites. In the first Pd site, Pd(1) is bonded to eight equivalent Pd(4) and four equivalent Pb(1) atoms to form PdPd8Pb4 cuboctahedra that share corners with four equivalent Pd(1)Pd8Pb4 cuboctahedra, corners with eight equivalent Pd(2)Tl4Pd8 cuboctahedra, edges with eight equivalent Tl(1)Pd12 cuboctahedra, edges with sixteen equivalent Pd(4)Tl2Pd8Pb2 cuboctahedra, faces with two equivalent Pd(2)Tl4Pd8 cuboctahedra, faces with four equivalent Pd(1)Pd8Pb4 cuboctahedra, faces with four equivalent Pb(1)Pd12 cuboctahedra, and faces with eight equivalent Pd(4)Tl2Pd8Pb2 cuboctahedra. All Pd(1)-Pd(4) bond lengths are 2.90 Å. All Pd(1)-Pb(1) bond lengths are 2.90 Å. In the second Pd site, Pd(2) is bonded to four equivalent Pd(4), four equivalent Pd(5), and four equivalent Tl(1) atoms to form distorted PdTl4Pd8 cuboctahedra that share corners with four equivalent Pd(1)Pd8Pb4 cuboctahedra, corners with four equivalent Pd(2)Tl4Pd8 cuboctahedra, corners with four equivalent Pd(3)Tl4Pd8 cuboctahedra, edges with four equivalent Tl(2)Pd12 cuboctahedra, edges with four equivalent Pb(1)Pd12 cuboctahedra, edges with eight equivalent Pd(4)Tl2Pd8Pb2 cuboctahedra, edges with eight equivalent Pd(5)Tl4Pd8 cuboctahedra,  a faceface with one Pd(1)Pd8Pb4 cuboctahedra,  a faceface with one Pd(3)Tl4Pd8 cuboctahedra, faces with four equivalent Pd(4)Tl2Pd8Pb2 cuboctahedra, faces with four equivalent Pd(2)Tl4Pd8 cuboctahedra, faces with four equivalent Pd(5)Tl4Pd8 cuboctahedra, and faces with four equivalent Tl(1)Pd12 cuboctahedra. All Pd(2)-Pd(4) bond lengths are 2.89 Å. All Pd(2)-Pd(5) bond lengths are 2.91 Å. All Pd(2)-Tl(1) bond lengths are 2.90 Å. In the third Pd site, Pd(3) is bonded to four equivalent Pd(5), four equivalent Pd(6), and four equivalent Tl(2) atoms to form distorted PdTl4Pd8 cuboctahedra that share corners with four equivalent Pd(2)Tl4Pd8 cuboctahedra, corners with eight equivalent Pd(3)Tl4Pd8 cuboctahedra, edges with four equivalent Tl(1)Pd12 cuboctahedra, edges with four equivalent Tl(2)Pd12 cuboctahedra, edges with eight equivalent Pd(5)Tl4Pd8 cuboctahedra, edges with eight equivalent Pd(6)Tl4Pd8 cuboctahedra,  a faceface with one Pd(2)Tl4Pd8 cuboctahedra, faces with four equivalent Pd(5)Tl4Pd8 cuboctahedra, faces with four equivalent Pd(6)Tl4Pd8 cuboctahedra, faces with four equivalent Tl(2)Pd12 cuboctahedra, and faces with five equivalent Pd(3)Tl4Pd8 cuboctahedra. All Pd(3)-Pd(5) bond lengths are 2.90 Å. All Pd(3)-Pd(6) bond lengths are 2.90 Å. All Pd(3)-Tl(2) bond lengths are 2.90 Å. In the fourth Pd site, Pd(4) is bonded to two equivalent Pd(1), two equivalent Pd(2), four equivalent Pd(4), two equivalent Tl(1), and two equivalent Pb(1) atoms to form distorted PdTl2Pd8Pb2 cuboctahedra that share corners with four equivalent Pd(5)Tl4Pd8 cuboctahedra, corners with eight equivalent Pd(4)Tl2Pd8Pb2 cuboctahedra, edges with four equivalent Pd(1)Pd8Pb4 cuboctahedra, edges with four equivalent Pd(4)Tl2Pd8Pb2 cuboctahedra, edges with four equivalent Pd(2)Tl4Pd8 cuboctahedra, edges with four equivalent Pd(5)Tl4Pd8 cuboctahedra, edges with four equivalent Tl(1)Pd12 cuboctahedra, edges with four equivalent Pb(1)Pd12 cuboctahedra,  a faceface with one Pd(5)Tl4Pd8 cuboctahedra, faces with two equivalent Pd(1)Pd8Pb4 cuboctahedra, faces with two equivalent Pd(2)Tl4Pd8 cuboctahedra, faces with two equivalent Tl(1)Pd12 cuboctahedra, faces with two equivalent Pb(1)Pd12 cuboctahedra, and faces with nine equivalent Pd(4)Tl2Pd8Pb2 cuboctahedra. All Pd(4)-Pd(4) bond lengths are 2.90 Å. Both Pd(4)-Tl(1) bond lengths are 2.91 Å. Both Pd(4)-Pb(1) bond lengths are 2.90 Å. In the fifth Pd site, Pd(5) is bonded to two equivalent Pd(2), two equivalent Pd(3), four equivalent Pd(5), two equivalent Tl(1), and two equivalent Tl(2) atoms to form distorted PdTl4Pd8 cuboctahedra that share corners with four equivalent Pd(4)Tl2Pd8Pb2 cuboctahedra, corners with four equivalent Pd(5)Tl4Pd8 cuboctahedra, corners with four equivalent Pd(6)Tl4Pd8 cuboctahedra, edges with four equivalent Pd(4)Tl2Pd8Pb2 cuboctahedra, edges with four equivalent Pd(2)Tl4Pd8 cuboctahedra, edges with four equivalent Pd(3)Tl4Pd8 cuboctahedra, edges with four equivalent Pd(6)Tl4Pd8 cuboctahedra, edges with four equivalent Tl(1)Pd12 cuboctahedra, edges with four equivalent Tl(2)Pd12 cuboctahedra,  a faceface with one Pd(4)Tl2Pd8Pb2 cuboctahedra,  a faceface with one Pd(6)Tl4Pd8 cuboctahedra, faces with two equivalent Pd(2)Tl4Pd8 cuboctahedra, faces with two equivalent Pd(3)Tl4Pd8 cuboctahedra, faces with two equivalent Tl(1)Pd12 cuboctahedra, faces with two equivalent Tl(2)Pd12 cuboctahedra, and faces with eight equivalent Pd(5)Tl4Pd8 cuboctahedra. All Pd(5)-Pd(5) bond lengths are 2.90 Å. Both Pd(5)-Tl(1) bond lengths are 2.90 Å. Both Pd(5)-Tl(2) bond lengths are 2.90 Å. In the sixth Pd site, Pd(6) is bonded to four equivalent Pd(3), four equivalent Pd(6), and four equivalent Tl(2) atoms to form distorted PdTl4Pd8 cuboctahedra that share corners with four equivalent Pd(6)Tl4Pd8 cuboctahedra, corners with eight equivalent Pd(5)Tl4Pd8 cuboctahedra, edges with eight equivalent Pd(3)Tl4Pd8 cuboctahedra, edges with eight equivalent Pd(5)Tl4Pd8 cuboctahedra, edges with eight equivalent Tl(2)Pd12 cuboctahedra, faces with two equivalent Pd(5)Tl4Pd8 cuboctahedra, faces with four equivalent Pd(3)Tl4Pd8 cuboctahedra, faces with four equivalent Tl(2)Pd12 cuboctahedra, and faces with eight equivalent Pd(6)Tl4Pd8 cuboctahedra. All Pd(6)-Pd(6) bond lengths are 2.90 Å. All Pd(6)-Tl(2) bond lengths are 2.90 Å. There are two inequivalent Tl sites. In the first Tl site, Tl(1) is bonded to four equivalent Pd(2), four equivalent Pd(4), and four equivalent Pd(5) atoms to form TlPd12 cuboctahedra that share corners with four equivalent Tl(1)Pd12 cuboctahedra, corners with four equivalent Tl(2)Pd12 cuboctahedra, corners with four equivalent Pb(1)Pd12 cuboctahedra, edges with four equivalent Pd(1)Pd8Pb4 cuboctahedra, edges with four equivalent Pd(3)Tl4Pd8 cuboctahedra, edges with eight equivalent Pd(4)Tl2Pd8Pb2 cuboctahedra, edges with eight equivalent Pd(5)Tl4Pd8 cuboctahedra,  a faceface with one Tl(2)Pd12 cuboctahedra,  a faceface with one Pb(1)Pd12 cuboctahedra, faces with four equivalent Pd(4)Tl2Pd8Pb2 cuboctahedra, faces with four equivalent Pd(2)Tl4Pd8 cuboctahedra, faces with four equivalent Pd(5)Tl4Pd8 cuboctahedra, and faces with four equivalent Tl(1)Pd12 cuboctahedra. In the second Tl site, Tl(2) is bonded to four equivalent Pd(3), four equivalent Pd(5), and four equivalent Pd(6) atoms to form TlPd12 cuboctahedra that share corners with four equivalent Tl(1)Pd12 cuboctahedra, corners with eight equivalent Tl(2)Pd12 cuboctahedra, edges with four equivalent Pd(2)Tl4Pd8 cuboctahedra, edges with four equivalent Pd(3)Tl4Pd8 cuboctahedra, edges with eight equivalent Pd(5)Tl4Pd8 cuboctahedra, edges with eight equivalent Pd(6)Tl4Pd8 cuboctahedra,  a faceface with one Tl(1)Pd12 cuboctahedra, faces with four equivalent Pd(3)Tl4Pd8 cuboctahedra, faces with four equivalent Pd(5)Tl4Pd8 cuboctahedra, faces with four equivalent Pd(6)Tl4Pd8 cuboctahedra, and faces with five equivalent Tl(2)Pd12 cuboctahedra. Pb(1) is bonded to four equivalent Pd(1) and eight equivalent Pd(4) atoms to form PbPd12 cuboctahedra that share corners with four equivalent Pb(1)Pd12 cuboctahedra, corners with eight equivalent Tl(1)Pd12 cuboctahedra, edges with eight equivalent Pd(2)Tl4Pd8 cuboctahedra, edges with sixteen equivalent Pd(4)Tl2Pd8Pb2 cuboctahedra, faces with two equivalent Tl(1)Pd12 cuboctahedra, faces with four equivalent Pd(1)Pd8Pb4 cuboctahedra, faces with four equivalent Pb(1)Pd12 cuboctahedra, and faces with eight equivalent Pd(4)Tl2Pd8Pb2 cuboctahedra.