Pd12PbBi3 is beta Cu3Ti-derived structured and crystallizes in the orthorhombic Pmm2 space group. There are six inequivalent Pd sites. In the first Pd site, Pd(1) is bonded to one Pd(2), one Pd(3), one Pd(4), one Pd(5), two equivalent Pd(1), two equivalent Pd(6), one Pb(1), one Bi(1), and two equivalent Bi(2) atoms to form PdBi3Pd8Pb cuboctahedra that share corners with four equivalent Pd(6)Bi3Pd8Pb cuboctahedra, corners with four equivalent Bi(2)Pd12 cuboctahedra, corners with ten equivalent Pd(1)Bi3Pd8Pb cuboctahedra, edges with two equivalent Pd(2)Bi2Pd8Pb2 cuboctahedra, edges with two equivalent Pd(4)Bi2Pd8Pb2 cuboctahedra, edges with two equivalent Pd(1)Bi3Pd8Pb cuboctahedra, edges with two equivalent Pd(6)Bi3Pd8Pb cuboctahedra, edges with two equivalent Pd(3)Bi4Pd8 cuboctahedra, edges with two equivalent Pd(5)Bi4Pd8 cuboctahedra, edges with two equivalent Pb(1)Pd12 cuboctahedra, edges with two equivalent Bi(1)Pd12 cuboctahedra, edges with two equivalent Bi(2)Pd12 cuboctahedra,  a faceface with one Pd(4)Bi2Pd8Pb2 cuboctahedra,  a faceface with one Pd(5)Bi4Pd8 cuboctahedra,  a faceface with one Pb(1)Pd12 cuboctahedra,  a faceface with one Bi(1)Pd12 cuboctahedra, faces with two equivalent Pd(6)Bi3Pd8Pb cuboctahedra, faces with two equivalent Bi(2)Pd12 cuboctahedra, faces with four equivalent Pd(2)Bi2Pd8Pb2 cuboctahedra, faces with four equivalent Pd(1)Bi3Pd8Pb cuboctahedra, and faces with four equivalent Pd(3)Bi4Pd8 cuboctahedra. In the second Pd site, Pd(2) is bonded to two equivalent Pd(1), two equivalent Pd(2), two equivalent Pd(4), two equivalent Pd(6), two equivalent Pb(1), and two equivalent Bi(2) atoms to form PdBi2Pd8Pb2 cuboctahedra that share corners with six equivalent Pd(2)Bi2Pd8Pb2 cuboctahedra, corners with six equivalent Pd(3)Bi4Pd8 cuboctahedra, edges with two equivalent Pd(2)Bi2Pd8Pb2 cuboctahedra, edges with two equivalent Pd(4)Bi2Pd8Pb2 cuboctahedra, edges with two equivalent Pd(3)Bi4Pd8 cuboctahedra, edges with two equivalent Pd(5)Bi4Pd8 cuboctahedra, edges with two equivalent Pb(1)Pd12 cuboctahedra, edges with two equivalent Bi(1)Pd12 cuboctahedra, edges with four equivalent Pd(1)Bi3Pd8Pb cuboctahedra, edges with four equivalent Pd(6)Bi3Pd8Pb cuboctahedra, edges with four equivalent Bi(2)Pd12 cuboctahedra, faces with two equivalent Pd(2)Bi2Pd8Pb2 cuboctahedra, faces with two equivalent Pd(4)Bi2Pd8Pb2 cuboctahedra, faces with two equivalent Pd(6)Bi3Pd8Pb cuboctahedra, faces with two equivalent Pb(1)Pd12 cuboctahedra, faces with two equivalent Bi(2)Pd12 cuboctahedra, and faces with eight equivalent Pd(1)Bi3Pd8Pb cuboctahedra. In the third Pd site, Pd(3) is bonded to two equivalent Pd(1), two equivalent Pd(3), two equivalent Pd(5), two equivalent Pd(6), two equivalent Bi(1), and two equivalent Bi(2) atoms to form PdBi4Pd8 cuboctahedra that share corners with six equivalent Pd(2)Bi2Pd8Pb2 cuboctahedra, corners with six equivalent Pd(3)Bi4Pd8 cuboctahedra, edges with two equivalent Pd(2)Bi2Pd8Pb2 cuboctahedra, edges with two equivalent Pd(4)Bi2Pd8Pb2 cuboctahedra, edges with two equivalent Pd(3)Bi4Pd8 cuboctahedra, edges with two equivalent Pd(5)Bi4Pd8 cuboctahedra, edges with two equivalent Pb(1)Pd12 cuboctahedra, edges with two equivalent Bi(1)Pd12 cuboctahedra, edges with four equivalent Pd(1)Bi3Pd8Pb cuboctahedra, edges with four equivalent Pd(6)Bi3Pd8Pb cuboctahedra, edges with four equivalent Bi(2)Pd12 cuboctahedra, faces with two equivalent Pd(6)Bi3Pd8Pb cuboctahedra, faces with two equivalent Pd(3)Bi4Pd8 cuboctahedra, faces with two equivalent Pd(5)Bi4Pd8 cuboctahedra, faces with two equivalent Bi(1)Pd12 cuboctahedra, faces with two equivalent Bi(2)Pd12 cuboctahedra, and faces with eight equivalent Pd(1)Bi3Pd8Pb cuboctahedra. In the fourth Pd site, Pd(4) is bonded to four equivalent Pd(1), four equivalent Pd(2), two equivalent Pb(1), and two equivalent Bi(2) atoms to form PdBi2Pd8Pb2 cuboctahedra that share corners with two equivalent Pd(4)Bi2Pd8Pb2 cuboctahedra, corners with two equivalent Pd(5)Bi4Pd8 cuboctahedra, corners with four equivalent Pb(1)Pd12 cuboctahedra, corners with four equivalent Bi(1)Pd12 cuboctahedra, edges with two equivalent Pd(4)Bi2Pd8Pb2 cuboctahedra, edges with two equivalent Pd(5)Bi4Pd8 cuboctahedra, edges with four equivalent Pd(2)Bi2Pd8Pb2 cuboctahedra, edges with four equivalent Pd(6)Bi3Pd8Pb cuboctahedra, edges with four equivalent Pd(3)Bi4Pd8 cuboctahedra, edges with eight equivalent Pd(1)Bi3Pd8Pb cuboctahedra, faces with two equivalent Pb(1)Pd12 cuboctahedra, faces with four equivalent Pd(2)Bi2Pd8Pb2 cuboctahedra, faces with four equivalent Pd(1)Bi3Pd8Pb cuboctahedra, faces with four equivalent Pd(6)Bi3Pd8Pb cuboctahedra, and faces with four equivalent Bi(2)Pd12 cuboctahedra. In the fifth Pd site, Pd(5) is bonded to four equivalent Pd(1), four equivalent Pd(3), two equivalent Bi(1), and two equivalent Bi(2) atoms to form PdBi4Pd8 cuboctahedra that share corners with two equivalent Pd(4)Bi2Pd8Pb2 cuboctahedra, corners with two equivalent Pd(5)Bi4Pd8 cuboctahedra, corners with four equivalent Pb(1)Pd12 cuboctahedra, corners with four equivalent Bi(1)Pd12 cuboctahedra, edges with two equivalent Pd(4)Bi2Pd8Pb2 cuboctahedra, edges with two equivalent Pd(5)Bi4Pd8 cuboctahedra, edges with four equivalent Pd(2)Bi2Pd8Pb2 cuboctahedra, edges with four equivalent Pd(6)Bi3Pd8Pb cuboctahedra, edges with four equivalent Pd(3)Bi4Pd8 cuboctahedra, edges with eight equivalent Pd(1)Bi3Pd8Pb cuboctahedra, faces with two equivalent Bi(1)Pd12 cuboctahedra, faces with four equivalent Pd(1)Bi3Pd8Pb cuboctahedra, faces with four equivalent Pd(6)Bi3Pd8Pb cuboctahedra, faces with four equivalent Pd(3)Bi4Pd8 cuboctahedra, and faces with four equivalent Bi(2)Pd12 cuboctahedra. In the sixth Pd site, Pd(6) is bonded to two equivalent Pd(2), two equivalent Pd(3), four equivalent Pd(1), one Pb(1), one Bi(1), and two equivalent Bi(2) atoms to form PdBi3Pd8Pb cuboctahedra that share corners with two equivalent Pd(6)Bi3Pd8Pb cuboctahedra, corners with eight equivalent Pd(1)Bi3Pd8Pb cuboctahedra, corners with eight equivalent Bi(2)Pd12 cuboctahedra, edges with two equivalent Pd(4)Bi2Pd8Pb2 cuboctahedra, edges with two equivalent Pd(6)Bi3Pd8Pb cuboctahedra, edges with two equivalent Pd(5)Bi4Pd8 cuboctahedra, edges with four equivalent Pd(2)Bi2Pd8Pb2 cuboctahedra, edges with four equivalent Pd(1)Bi3Pd8Pb cuboctahedra, edges with four equivalent Pd(3)Bi4Pd8 cuboctahedra, faces with two equivalent Pd(2)Bi2Pd8Pb2 cuboctahedra, faces with two equivalent Pd(4)Bi2Pd8Pb2 cuboctahedra, faces with two equivalent Pd(6)Bi3Pd8Pb cuboctahedra, faces with two equivalent Pd(3)Bi4Pd8 cuboctahedra, faces with two equivalent Pd(5)Bi4Pd8 cuboctahedra, faces with two equivalent Pb(1)Pd12 cuboctahedra, faces with two equivalent Bi(1)Pd12 cuboctahedra, faces with two equivalent Bi(2)Pd12 cuboctahedra, and faces with four equivalent Pd(1)Bi3Pd8Pb cuboctahedra. Pb(1) is bonded to two equivalent Pd(4), two equivalent Pd(6), four equivalent Pd(1), and four equivalent Pd(2) atoms to form PbPd12 cuboctahedra that share corners with two equivalent Pb(1)Pd12 cuboctahedra, corners with two equivalent Bi(1)Pd12 cuboctahedra, corners with four equivalent Pd(4)Bi2Pd8Pb2 cuboctahedra, corners with four equivalent Pd(5)Bi4Pd8 cuboctahedra, edges with two equivalent Pb(1)Pd12 cuboctahedra, edges with two equivalent Bi(1)Pd12 cuboctahedra, edges with four equivalent Pd(2)Bi2Pd8Pb2 cuboctahedra, edges with four equivalent Pd(3)Bi4Pd8 cuboctahedra, edges with four equivalent Bi(2)Pd12 cuboctahedra, edges with eight equivalent Pd(1)Bi3Pd8Pb cuboctahedra, faces with two equivalent Pd(4)Bi2Pd8Pb2 cuboctahedra, faces with four equivalent Pd(2)Bi2Pd8Pb2 cuboctahedra, faces with four equivalent Pd(1)Bi3Pd8Pb cuboctahedra, faces with four equivalent Pd(6)Bi3Pd8Pb cuboctahedra, and faces with four equivalent Bi(2)Pd12 cuboctahedra. There are two inequivalent Bi sites. In the first Bi site, Bi(1) is bonded to two equivalent Pd(5), two equivalent Pd(6), four equivalent Pd(1), and four equivalent Pd(3) atoms to form BiPd12 cuboctahedra that share corners with two equivalent Pb(1)Pd12 cuboctahedra, corners with two equivalent Bi(1)Pd12 cuboctahedra, corners with four equivalent Pd(4)Bi2Pd8Pb2 cuboctahedra, corners with four equivalent Pd(5)Bi4Pd8 cuboctahedra, edges with two equivalent Pb(1)Pd12 cuboctahedra, edges with two equivalent Bi(1)Pd12 cuboctahedra, edges with four equivalent Pd(2)Bi2Pd8Pb2 cuboctahedra, edges with four equivalent Pd(3)Bi4Pd8 cuboctahedra, edges with four equivalent Bi(2)Pd12 cuboctahedra, edges with eight equivalent Pd(1)Bi3Pd8Pb cuboctahedra, faces with two equivalent Pd(5)Bi4Pd8 cuboctahedra, faces with four equivalent Pd(1)Bi3Pd8Pb cuboctahedra, faces with four equivalent Pd(6)Bi3Pd8Pb cuboctahedra, faces with four equivalent Pd(3)Bi4Pd8 cuboctahedra, and faces with four equivalent Bi(2)Pd12 cuboctahedra. In the second Bi site, Bi(2) is bonded to one Pd(4), one Pd(5), two equivalent Pd(2), two equivalent Pd(3), two equivalent Pd(6), and four equivalent Pd(1) atoms to form BiPd12 cuboctahedra that share corners with two equivalent Bi(2)Pd12 cuboctahedra, corners with eight equivalent Pd(1)Bi3Pd8Pb cuboctahedra, corners with eight equivalent Pd(6)Bi3Pd8Pb cuboctahedra, edges with two equivalent Pb(1)Pd12 cuboctahedra, edges with two equivalent Bi(1)Pd12 cuboctahedra, edges with two equivalent Bi(2)Pd12 cuboctahedra, edges with four equivalent Pd(2)Bi2Pd8Pb2 cuboctahedra, edges with four equivalent Pd(1)Bi3Pd8Pb cuboctahedra, edges with four equivalent Pd(3)Bi4Pd8 cuboctahedra, faces with two equivalent Pd(2)Bi2Pd8Pb2 cuboctahedra, faces with two equivalent Pd(4)Bi2Pd8Pb2 cuboctahedra, faces with two equivalent Pd(6)Bi3Pd8Pb cuboctahedra, faces with two equivalent Pd(3)Bi4Pd8 cuboctahedra, faces with two equivalent Pd(5)Bi4Pd8 cuboctahedra, faces with two equivalent Pb(1)Pd12 cuboctahedra, faces with two equivalent Bi(1)Pd12 cuboctahedra, faces with two equivalent Bi(2)Pd12 cuboctahedra, and faces with four equivalent Pd(1)Bi3Pd8Pb cuboctahedra.
Pd12PbBi3 is beta Cu3Ti-derived structured and crystallizes in the orthorhombic Pmm2 space group. There are six inequivalent Pd sites. In the first Pd site, Pd(1) is bonded to one Pd(2), one Pd(3), one Pd(4), one Pd(5), two equivalent Pd(1), two equivalent Pd(6), one Pb(1), one Bi(1), and two equivalent Bi(2) atoms to form PdBi3Pd8Pb cuboctahedra that share corners with four equivalent Pd(6)Bi3Pd8Pb cuboctahedra, corners with four equivalent Bi(2)Pd12 cuboctahedra, corners with ten equivalent Pd(1)Bi3Pd8Pb cuboctahedra, edges with two equivalent Pd(2)Bi2Pd8Pb2 cuboctahedra, edges with two equivalent Pd(4)Bi2Pd8Pb2 cuboctahedra, edges with two equivalent Pd(1)Bi3Pd8Pb cuboctahedra, edges with two equivalent Pd(6)Bi3Pd8Pb cuboctahedra, edges with two equivalent Pd(3)Bi4Pd8 cuboctahedra, edges with two equivalent Pd(5)Bi4Pd8 cuboctahedra, edges with two equivalent Pb(1)Pd12 cuboctahedra, edges with two equivalent Bi(1)Pd12 cuboctahedra, edges with two equivalent Bi(2)Pd12 cuboctahedra,  a faceface with one Pd(4)Bi2Pd8Pb2 cuboctahedra,  a faceface with one Pd(5)Bi4Pd8 cuboctahedra,  a faceface with one Pb(1)Pd12 cuboctahedra,  a faceface with one Bi(1)Pd12 cuboctahedra, faces with two equivalent Pd(6)Bi3Pd8Pb cuboctahedra, faces with two equivalent Bi(2)Pd12 cuboctahedra, faces with four equivalent Pd(2)Bi2Pd8Pb2 cuboctahedra, faces with four equivalent Pd(1)Bi3Pd8Pb cuboctahedra, and faces with four equivalent Pd(3)Bi4Pd8 cuboctahedra. The Pd(1)-Pd(2) bond length is 2.91 Å. The Pd(1)-Pd(3) bond length is 2.92 Å. The Pd(1)-Pd(4) bond length is 2.90 Å. The Pd(1)-Pd(5) bond length is 2.92 Å. There is one shorter (2.91 Å) and one longer (2.94 Å) Pd(1)-Pd(1) bond length. There is one shorter (2.92 Å) and one longer (2.93 Å) Pd(1)-Pd(6) bond length. The Pd(1)-Pb(1) bond length is 2.90 Å. The Pd(1)-Bi(1) bond length is 2.92 Å. Both Pd(1)-Bi(2) bond lengths are 2.93 Å. In the second Pd site, Pd(2) is bonded to two equivalent Pd(1), two equivalent Pd(2), two equivalent Pd(4), two equivalent Pd(6), two equivalent Pb(1), and two equivalent Bi(2) atoms to form PdBi2Pd8Pb2 cuboctahedra that share corners with six equivalent Pd(2)Bi2Pd8Pb2 cuboctahedra, corners with six equivalent Pd(3)Bi4Pd8 cuboctahedra, edges with two equivalent Pd(2)Bi2Pd8Pb2 cuboctahedra, edges with two equivalent Pd(4)Bi2Pd8Pb2 cuboctahedra, edges with two equivalent Pd(3)Bi4Pd8 cuboctahedra, edges with two equivalent Pd(5)Bi4Pd8 cuboctahedra, edges with two equivalent Pb(1)Pd12 cuboctahedra, edges with two equivalent Bi(1)Pd12 cuboctahedra, edges with four equivalent Pd(1)Bi3Pd8Pb cuboctahedra, edges with four equivalent Pd(6)Bi3Pd8Pb cuboctahedra, edges with four equivalent Bi(2)Pd12 cuboctahedra, faces with two equivalent Pd(2)Bi2Pd8Pb2 cuboctahedra, faces with two equivalent Pd(4)Bi2Pd8Pb2 cuboctahedra, faces with two equivalent Pd(6)Bi3Pd8Pb cuboctahedra, faces with two equivalent Pb(1)Pd12 cuboctahedra, faces with two equivalent Bi(2)Pd12 cuboctahedra, and faces with eight equivalent Pd(1)Bi3Pd8Pb cuboctahedra. There is one shorter (2.89 Å) and one longer (2.96 Å) Pd(2)-Pd(2) bond length. There is one shorter (2.87 Å) and one longer (3.00 Å) Pd(2)-Pd(4) bond length. Both Pd(2)-Pd(6) bond lengths are 2.91 Å. There is one shorter (2.89 Å) and one longer (2.95 Å) Pd(2)-Pb(1) bond length. Both Pd(2)-Bi(2) bond lengths are 2.94 Å. In the third Pd site, Pd(3) is bonded to two equivalent Pd(1), two equivalent Pd(3), two equivalent Pd(5), two equivalent Pd(6), two equivalent Bi(1), and two equivalent Bi(2) atoms to form PdBi4Pd8 cuboctahedra that share corners with six equivalent Pd(2)Bi2Pd8Pb2 cuboctahedra, corners with six equivalent Pd(3)Bi4Pd8 cuboctahedra, edges with two equivalent Pd(2)Bi2Pd8Pb2 cuboctahedra, edges with two equivalent Pd(4)Bi2Pd8Pb2 cuboctahedra, edges with two equivalent Pd(3)Bi4Pd8 cuboctahedra, edges with two equivalent Pd(5)Bi4Pd8 cuboctahedra, edges with two equivalent Pb(1)Pd12 cuboctahedra, edges with two equivalent Bi(1)Pd12 cuboctahedra, edges with four equivalent Pd(1)Bi3Pd8Pb cuboctahedra, edges with four equivalent Pd(6)Bi3Pd8Pb cuboctahedra, edges with four equivalent Bi(2)Pd12 cuboctahedra, faces with two equivalent Pd(6)Bi3Pd8Pb cuboctahedra, faces with two equivalent Pd(3)Bi4Pd8 cuboctahedra, faces with two equivalent Pd(5)Bi4Pd8 cuboctahedra, faces with two equivalent Bi(1)Pd12 cuboctahedra, faces with two equivalent Bi(2)Pd12 cuboctahedra, and faces with eight equivalent Pd(1)Bi3Pd8Pb cuboctahedra. There is one shorter (2.92 Å) and one longer (2.93 Å) Pd(3)-Pd(3) bond length. There is one shorter (2.86 Å) and one longer (2.99 Å) Pd(3)-Pd(5) bond length. Both Pd(3)-Pd(6) bond lengths are 2.93 Å. There is one shorter (2.88 Å) and one longer (2.98 Å) Pd(3)-Bi(1) bond length. Both Pd(3)-Bi(2) bond lengths are 2.93 Å. In the fourth Pd site, Pd(4) is bonded to four equivalent Pd(1), four equivalent Pd(2), two equivalent Pb(1), and two equivalent Bi(2) atoms to form PdBi2Pd8Pb2 cuboctahedra that share corners with two equivalent Pd(4)Bi2Pd8Pb2 cuboctahedra, corners with two equivalent Pd(5)Bi4Pd8 cuboctahedra, corners with four equivalent Pb(1)Pd12 cuboctahedra, corners with four equivalent Bi(1)Pd12 cuboctahedra, edges with two equivalent Pd(4)Bi2Pd8Pb2 cuboctahedra, edges with two equivalent Pd(5)Bi4Pd8 cuboctahedra, edges with four equivalent Pd(2)Bi2Pd8Pb2 cuboctahedra, edges with four equivalent Pd(6)Bi3Pd8Pb cuboctahedra, edges with four equivalent Pd(3)Bi4Pd8 cuboctahedra, edges with eight equivalent Pd(1)Bi3Pd8Pb cuboctahedra, faces with two equivalent Pb(1)Pd12 cuboctahedra, faces with four equivalent Pd(2)Bi2Pd8Pb2 cuboctahedra, faces with four equivalent Pd(1)Bi3Pd8Pb cuboctahedra, faces with four equivalent Pd(6)Bi3Pd8Pb cuboctahedra, and faces with four equivalent Bi(2)Pd12 cuboctahedra. Both Pd(4)-Pb(1) bond lengths are 2.93 Å. Both Pd(4)-Bi(2) bond lengths are 2.97 Å. In the fifth Pd site, Pd(5) is bonded to four equivalent Pd(1), four equivalent Pd(3), two equivalent Bi(1), and two equivalent Bi(2) atoms to form PdBi4Pd8 cuboctahedra that share corners with two equivalent Pd(4)Bi2Pd8Pb2 cuboctahedra, corners with two equivalent Pd(5)Bi4Pd8 cuboctahedra, corners with four equivalent Pb(1)Pd12 cuboctahedra, corners with four equivalent Bi(1)Pd12 cuboctahedra, edges with two equivalent Pd(4)Bi2Pd8Pb2 cuboctahedra, edges with two equivalent Pd(5)Bi4Pd8 cuboctahedra, edges with four equivalent Pd(2)Bi2Pd8Pb2 cuboctahedra, edges with four equivalent Pd(6)Bi3Pd8Pb cuboctahedra, edges with four equivalent Pd(3)Bi4Pd8 cuboctahedra, edges with eight equivalent Pd(1)Bi3Pd8Pb cuboctahedra, faces with two equivalent Bi(1)Pd12 cuboctahedra, faces with four equivalent Pd(1)Bi3Pd8Pb cuboctahedra, faces with four equivalent Pd(6)Bi3Pd8Pb cuboctahedra, faces with four equivalent Pd(3)Bi4Pd8 cuboctahedra, and faces with four equivalent Bi(2)Pd12 cuboctahedra. Both Pd(5)-Bi(1) bond lengths are 2.93 Å. Both Pd(5)-Bi(2) bond lengths are 2.96 Å. In the sixth Pd site, Pd(6) is bonded to two equivalent Pd(2), two equivalent Pd(3), four equivalent Pd(1), one Pb(1), one Bi(1), and two equivalent Bi(2) atoms to form PdBi3Pd8Pb cuboctahedra that share corners with two equivalent Pd(6)Bi3Pd8Pb cuboctahedra, corners with eight equivalent Pd(1)Bi3Pd8Pb cuboctahedra, corners with eight equivalent Bi(2)Pd12 cuboctahedra, edges with two equivalent Pd(4)Bi2Pd8Pb2 cuboctahedra, edges with two equivalent Pd(6)Bi3Pd8Pb cuboctahedra, edges with two equivalent Pd(5)Bi4Pd8 cuboctahedra, edges with four equivalent Pd(2)Bi2Pd8Pb2 cuboctahedra, edges with four equivalent Pd(1)Bi3Pd8Pb cuboctahedra, edges with four equivalent Pd(3)Bi4Pd8 cuboctahedra, faces with two equivalent Pd(2)Bi2Pd8Pb2 cuboctahedra, faces with two equivalent Pd(4)Bi2Pd8Pb2 cuboctahedra, faces with two equivalent Pd(6)Bi3Pd8Pb cuboctahedra, faces with two equivalent Pd(3)Bi4Pd8 cuboctahedra, faces with two equivalent Pd(5)Bi4Pd8 cuboctahedra, faces with two equivalent Pb(1)Pd12 cuboctahedra, faces with two equivalent Bi(1)Pd12 cuboctahedra, faces with two equivalent Bi(2)Pd12 cuboctahedra, and faces with four equivalent Pd(1)Bi3Pd8Pb cuboctahedra. The Pd(6)-Pb(1) bond length is 2.93 Å. The Pd(6)-Bi(1) bond length is 2.95 Å. Both Pd(6)-Bi(2) bond lengths are 2.93 Å. Pb(1) is bonded to two equivalent Pd(4), two equivalent Pd(6), four equivalent Pd(1), and four equivalent Pd(2) atoms to form PbPd12 cuboctahedra that share corners with two equivalent Pb(1)Pd12 cuboctahedra, corners with two equivalent Bi(1)Pd12 cuboctahedra, corners with four equivalent Pd(4)Bi2Pd8Pb2 cuboctahedra, corners with four equivalent Pd(5)Bi4Pd8 cuboctahedra, edges with two equivalent Pb(1)Pd12 cuboctahedra, edges with two equivalent Bi(1)Pd12 cuboctahedra, edges with four equivalent Pd(2)Bi2Pd8Pb2 cuboctahedra, edges with four equivalent Pd(3)Bi4Pd8 cuboctahedra, edges with four equivalent Bi(2)Pd12 cuboctahedra, edges with eight equivalent Pd(1)Bi3Pd8Pb cuboctahedra, faces with two equivalent Pd(4)Bi2Pd8Pb2 cuboctahedra, faces with four equivalent Pd(2)Bi2Pd8Pb2 cuboctahedra, faces with four equivalent Pd(1)Bi3Pd8Pb cuboctahedra, faces with four equivalent Pd(6)Bi3Pd8Pb cuboctahedra, and faces with four equivalent Bi(2)Pd12 cuboctahedra. There are two inequivalent Bi sites. In the first Bi site, Bi(1) is bonded to two equivalent Pd(5), two equivalent Pd(6), four equivalent Pd(1), and four equivalent Pd(3) atoms to form BiPd12 cuboctahedra that share corners with two equivalent Pb(1)Pd12 cuboctahedra, corners with two equivalent Bi(1)Pd12 cuboctahedra, corners with four equivalent Pd(4)Bi2Pd8Pb2 cuboctahedra, corners with four equivalent Pd(5)Bi4Pd8 cuboctahedra, edges with two equivalent Pb(1)Pd12 cuboctahedra, edges with two equivalent Bi(1)Pd12 cuboctahedra, edges with four equivalent Pd(2)Bi2Pd8Pb2 cuboctahedra, edges with four equivalent Pd(3)Bi4Pd8 cuboctahedra, edges with four equivalent Bi(2)Pd12 cuboctahedra, edges with eight equivalent Pd(1)Bi3Pd8Pb cuboctahedra, faces with two equivalent Pd(5)Bi4Pd8 cuboctahedra, faces with four equivalent Pd(1)Bi3Pd8Pb cuboctahedra, faces with four equivalent Pd(6)Bi3Pd8Pb cuboctahedra, faces with four equivalent Pd(3)Bi4Pd8 cuboctahedra, and faces with four equivalent Bi(2)Pd12 cuboctahedra. In the second Bi site, Bi(2) is bonded to one Pd(4), one Pd(5), two equivalent Pd(2), two equivalent Pd(3), two equivalent Pd(6), and four equivalent Pd(1) atoms to form BiPd12 cuboctahedra that share corners with two equivalent Bi(2)Pd12 cuboctahedra, corners with eight equivalent Pd(1)Bi3Pd8Pb cuboctahedra, corners with eight equivalent Pd(6)Bi3Pd8Pb cuboctahedra, edges with two equivalent Pb(1)Pd12 cuboctahedra, edges with two equivalent Bi(1)Pd12 cuboctahedra, edges with two equivalent Bi(2)Pd12 cuboctahedra, edges with four equivalent Pd(2)Bi2Pd8Pb2 cuboctahedra, edges with four equivalent Pd(1)Bi3Pd8Pb cuboctahedra, edges with four equivalent Pd(3)Bi4Pd8 cuboctahedra, faces with two equivalent Pd(2)Bi2Pd8Pb2 cuboctahedra, faces with two equivalent Pd(4)Bi2Pd8Pb2 cuboctahedra, faces with two equivalent Pd(6)Bi3Pd8Pb cuboctahedra, faces with two equivalent Pd(3)Bi4Pd8 cuboctahedra, faces with two equivalent Pd(5)Bi4Pd8 cuboctahedra, faces with two equivalent Pb(1)Pd12 cuboctahedra, faces with two equivalent Bi(1)Pd12 cuboctahedra, faces with two equivalent Bi(2)Pd12 cuboctahedra, and faces with four equivalent Pd(1)Bi3Pd8Pb cuboctahedra.