Pd3Bi is beta Cu3Ti-like structured and crystallizes in the orthorhombic Pmma space group. There are nine inequivalent Pd sites. In the first Pd site, Pd(1) is bonded to two equivalent Pd(1), two equivalent Pd(2), two equivalent Pd(3), two equivalent Pd(4), two equivalent Bi(1), and two equivalent Bi(2) atoms to form PdBi4Pd8 cuboctahedra that share corners with twelve Pd(1,1,1,1)Bi4Pd8 cuboctahedra; edges with four Pd(1,1)Bi4Pd8 cuboctahedra; edges with four equivalent Pd(2)Bi4Pd8 cuboctahedra; edges with four equivalent Pd(3)Bi4Pd8 cuboctahedra; edges with four Pd(4,4)Bi4Pd8 cuboctahedra; edges with four equivalent Bi(1)Pd12 cuboctahedra; edges with four equivalent Bi(2)Pd12 cuboctahedra; faces with two equivalent Pd(1)Bi4Pd8 cuboctahedra; faces with two equivalent Pd(2)Bi4Pd8 cuboctahedra; faces with two equivalent Pd(3)Bi4Pd8 cuboctahedra; faces with two equivalent Bi(1)Pd12 cuboctahedra; faces with two equivalent Bi(2)Pd12 cuboctahedra; and faces with eight Pd(4,4,4)Bi4Pd8 cuboctahedra. In the second Pd site, Pd(1) is bonded to two equivalent Pd(1); two equivalent Pd(2); two equivalent Pd(3); two Pd(4,4); two equivalent Bi(1); and two equivalent Bi(2) atoms to form PdBi4Pd8 cuboctahedra that share corners with twelve Pd(1,1,1,1)Bi4Pd8 cuboctahedra; edges with four Pd(1,1)Bi4Pd8 cuboctahedra; edges with four equivalent Pd(2)Bi4Pd8 cuboctahedra; edges with four equivalent Pd(3)Bi4Pd8 cuboctahedra; edges with four equivalent Pd(4)Bi4Pd8 cuboctahedra; edges with four equivalent Bi(1)Pd12 cuboctahedra; edges with four equivalent Bi(2)Pd12 cuboctahedra; faces with two equivalent Pd(1)Bi4Pd8 cuboctahedra; faces with two equivalent Pd(2)Bi4Pd8 cuboctahedra; faces with two equivalent Pd(3)Bi4Pd8 cuboctahedra; faces with two equivalent Bi(1)Pd12 cuboctahedra; faces with two equivalent Bi(2)Pd12 cuboctahedra; and faces with eight Pd(4,4,4)Bi4Pd8 cuboctahedra. In the third Pd site, Pd(1) is bonded to two equivalent Pd(1), two equivalent Pd(2), two equivalent Pd(3), two equivalent Pd(4), two equivalent Bi(1), and two equivalent Bi(2) atoms to form PdBi4Pd8 cuboctahedra that share corners with twelve Pd(1,1,1,1)Bi4Pd8 cuboctahedra; edges with four Pd(1,1)Bi4Pd8 cuboctahedra; edges with four equivalent Pd(2)Bi4Pd8 cuboctahedra; edges with four equivalent Pd(3)Bi4Pd8 cuboctahedra; edges with four Pd(4,4)Bi4Pd8 cuboctahedra; edges with four equivalent Bi(1)Pd12 cuboctahedra; edges with four equivalent Bi(2)Pd12 cuboctahedra; faces with two equivalent Pd(1)Bi4Pd8 cuboctahedra; faces with two equivalent Pd(2)Bi4Pd8 cuboctahedra; faces with two equivalent Pd(3)Bi4Pd8 cuboctahedra; faces with two equivalent Bi(1)Pd12 cuboctahedra; faces with two equivalent Bi(2)Pd12 cuboctahedra; and faces with eight Pd(4,4,4)Bi4Pd8 cuboctahedra. In the fourth Pd site, Pd(1) is bonded to two equivalent Pd(1); two equivalent Pd(2); two equivalent Pd(3); two Pd(4,4); two equivalent Bi(1); and two equivalent Bi(2) atoms to form PdBi4Pd8 cuboctahedra that share corners with twelve Pd(1,1,1,1)Bi4Pd8 cuboctahedra; edges with four Pd(1,1)Bi4Pd8 cuboctahedra; edges with four equivalent Pd(2)Bi4Pd8 cuboctahedra; edges with four equivalent Pd(3)Bi4Pd8 cuboctahedra; edges with four equivalent Pd(4)Bi4Pd8 cuboctahedra; edges with four equivalent Bi(1)Pd12 cuboctahedra; edges with four equivalent Bi(2)Pd12 cuboctahedra; faces with two equivalent Pd(1)Bi4Pd8 cuboctahedra; faces with two equivalent Pd(2)Bi4Pd8 cuboctahedra; faces with two equivalent Pd(3)Bi4Pd8 cuboctahedra; faces with two equivalent Bi(1)Pd12 cuboctahedra; faces with two equivalent Bi(2)Pd12 cuboctahedra; and faces with eight Pd(4,4,4)Bi4Pd8 cuboctahedra. In the fifth Pd site, Pd(2) is bonded to four Pd(1,1,1,1); four Pd(4,4); two equivalent Bi(1); and two equivalent Bi(2) atoms to form PdBi4Pd8 cuboctahedra that share corners with two equivalent Pd(2)Bi4Pd8 cuboctahedra; corners with eight Pd(4,4)Bi4Pd8 cuboctahedra; corners with eight equivalent Bi(2)Pd12 cuboctahedra; edges with two equivalent Pd(2)Bi4Pd8 cuboctahedra; edges with four equivalent Pd(3)Bi4Pd8 cuboctahedra; edges with four Pd(4,4)Bi4Pd8 cuboctahedra; edges with eight Pd(1,1,1,1)Bi4Pd8 cuboctahedra; faces with two equivalent Pd(2)Bi4Pd8 cuboctahedra; faces with two equivalent Bi(2)Pd12 cuboctahedra; faces with four Pd(1,1,1,1)Bi4Pd8 cuboctahedra; faces with four equivalent Pd(3)Bi4Pd8 cuboctahedra; faces with four Pd(4,4)Bi4Pd8 cuboctahedra; and faces with four equivalent Bi(1)Pd12 cuboctahedra. In the sixth Pd site, Pd(3) is bonded to four Pd(1,1); four Pd(4,4,4); two equivalent Bi(1); and two equivalent Bi(2) atoms to form PdBi4Pd8 cuboctahedra that share corners with four equivalent Pd(3)Bi4Pd8 cuboctahedra; corners with eight equivalent Bi(1)Pd12 cuboctahedra; edges with four equivalent Pd(2)Bi4Pd8 cuboctahedra; edges with four equivalent Pd(3)Bi4Pd8 cuboctahedra; edges with eight Pd(1,1,1,1)Bi4Pd8 cuboctahedra; edges with eight Pd(4,4,4)Bi4Pd8 cuboctahedra; faces with two equivalent Bi(1)Pd12 cuboctahedra; faces with four Pd(1,1)Bi4Pd8 cuboctahedra; faces with four equivalent Pd(2)Bi4Pd8 cuboctahedra; faces with four Pd(4,4,4)Bi4Pd8 cuboctahedra; and faces with four equivalent Bi(2)Pd12 cuboctahedra. In the seventh Pd site, Pd(4) is bonded to two Pd(1,1); two equivalent Pd(2); two equivalent Pd(3); two equivalent Pd(4); two equivalent Bi(1); and two equivalent Bi(2) atoms to form PdBi4Pd8 cuboctahedra that share corners with four equivalent Pd(2)Bi4Pd8 cuboctahedra; corners with four equivalent Bi(2)Pd12 cuboctahedra; corners with ten Pd(4,4)Bi4Pd8 cuboctahedra; edges with two equivalent Pd(2)Bi4Pd8 cuboctahedra; edges with two equivalent Pd(4)Bi4Pd8 cuboctahedra; edges with two equivalent Bi(2)Pd12 cuboctahedra; edges with four Pd(1,1)Bi4Pd8 cuboctahedra; edges with four equivalent Pd(3)Bi4Pd8 cuboctahedra; edges with four equivalent Bi(1)Pd12 cuboctahedra; faces with two equivalent Pd(2)Bi4Pd8 cuboctahedra; faces with two equivalent Pd(3)Bi4Pd8 cuboctahedra; faces with two equivalent Bi(1)Pd12 cuboctahedra; faces with two equivalent Bi(2)Pd12 cuboctahedra; faces with four Pd(4,4)Bi4Pd8 cuboctahedra; and faces with eight Pd(1,1,1,1)Bi4Pd8 cuboctahedra. In the eighth Pd site, Pd(4) is bonded to two Pd(1,1); two equivalent Pd(2); two equivalent Pd(3); two equivalent Pd(4); two equivalent Bi(1); and two equivalent Bi(2) atoms to form PdBi4Pd8 cuboctahedra that share corners with four equivalent Pd(2)Bi4Pd8 cuboctahedra; corners with four equivalent Bi(2)Pd12 cuboctahedra; corners with ten Pd(4,4,4)Bi4Pd8 cuboctahedra; edges with two equivalent Pd(2)Bi4Pd8 cuboctahedra; edges with two equivalent Pd(4)Bi4Pd8 cuboctahedra; edges with two equivalent Bi(2)Pd12 cuboctahedra; edges with four Pd(1,1)Bi4Pd8 cuboctahedra; edges with four equivalent Pd(3)Bi4Pd8 cuboctahedra; edges with four equivalent Bi(1)Pd12 cuboctahedra; faces with two equivalent Pd(2)Bi4Pd8 cuboctahedra; faces with two equivalent Pd(3)Bi4Pd8 cuboctahedra; faces with two equivalent Bi(1)Pd12 cuboctahedra; faces with two equivalent Bi(2)Pd12 cuboctahedra; faces with four Pd(4,4)Bi4Pd8 cuboctahedra; and faces with eight Pd(1,1,1,1)Bi4Pd8 cuboctahedra. In the ninth Pd site, Pd(4) is bonded to two Pd(1,1); two equivalent Pd(2); two equivalent Pd(3); two equivalent Pd(4); two equivalent Bi(1); and two equivalent Bi(2) atoms to form PdBi4Pd8 cuboctahedra that share corners with four equivalent Pd(2)Bi4Pd8 cuboctahedra; corners with four equivalent Bi(2)Pd12 cuboctahedra; corners with ten Pd(4,4)Bi4Pd8 cuboctahedra; edges with two equivalent Pd(2)Bi4Pd8 cuboctahedra; edges with two equivalent Pd(4)Bi4Pd8 cuboctahedra; edges with two equivalent Bi(2)Pd12 cuboctahedra; edges with four Pd(1,1)Bi4Pd8 cuboctahedra; edges with four equivalent Pd(3)Bi4Pd8 cuboctahedra; edges with four equivalent Bi(1)Pd12 cuboctahedra; faces with two equivalent Pd(2)Bi4Pd8 cuboctahedra; faces with two equivalent Pd(3)Bi4Pd8 cuboctahedra; faces with two equivalent Bi(1)Pd12 cuboctahedra; faces with two equivalent Bi(2)Pd12 cuboctahedra; faces with four Pd(4,4)Bi4Pd8 cuboctahedra; and faces with eight Pd(1,1,1,1)Bi4Pd8 cuboctahedra. There are two inequivalent Bi sites. In the first Bi site, Bi(1) is bonded to two equivalent Pd(2); two equivalent Pd(3); four Pd(1,1); and four Pd(4,4,4) atoms to form BiPd12 cuboctahedra that share corners with four equivalent Bi(1)Pd12 cuboctahedra; corners with eight equivalent Pd(3)Bi4Pd8 cuboctahedra; edges with four equivalent Bi(1)Pd12 cuboctahedra; edges with four equivalent Bi(2)Pd12 cuboctahedra; edges with eight Pd(1,1,1,1)Bi4Pd8 cuboctahedra; edges with eight Pd(4,4,4)Bi4Pd8 cuboctahedra; faces with two equivalent Pd(3)Bi4Pd8 cuboctahedra; faces with four Pd(1,1)Bi4Pd8 cuboctahedra; faces with four equivalent Pd(2)Bi4Pd8 cuboctahedra; faces with four Pd(4,4,4)Bi4Pd8 cuboctahedra; and faces with four equivalent Bi(2)Pd12 cuboctahedra. In the second Bi site, Bi(2) is bonded to two equivalent Pd(2); two equivalent Pd(3); four Pd(1,1,1,1); and four Pd(4,4) atoms to form BiPd12 cuboctahedra that share corners with two equivalent Bi(2)Pd12 cuboctahedra; corners with eight equivalent Pd(2)Bi4Pd8 cuboctahedra; corners with eight Pd(4,4)Bi4Pd8 cuboctahedra; edges with two equivalent Bi(2)Pd12 cuboctahedra; edges with four Pd(4,4)Bi4Pd8 cuboctahedra; edges with four equivalent Bi(1)Pd12 cuboctahedra; edges with eight Pd(1,1,1,1)Bi4Pd8 cuboctahedra; faces with two equivalent Pd(2)Bi4Pd8 cuboctahedra; faces with two equivalent Bi(2)Pd12 cuboctahedra; faces with four Pd(1,1,1,1)Bi4Pd8 cuboctahedra; faces with four equivalent Pd(3)Bi4Pd8 cuboctahedra; faces with four Pd(4,4)Bi4Pd8 cuboctahedra; and faces with four equivalent Bi(1)Pd12 cuboctahedra.
Pd3Bi is beta Cu3Ti-like structured and crystallizes in the orthorhombic Pmma space group. There are nine inequivalent Pd sites. In the first Pd site, Pd(1) is bonded to two equivalent Pd(1), two equivalent Pd(2), two equivalent Pd(3), two equivalent Pd(4), two equivalent Bi(1), and two equivalent Bi(2) atoms to form PdBi4Pd8 cuboctahedra that share corners with twelve Pd(1,1,1,1)Bi4Pd8 cuboctahedra; edges with four Pd(1,1)Bi4Pd8 cuboctahedra; edges with four equivalent Pd(2)Bi4Pd8 cuboctahedra; edges with four equivalent Pd(3)Bi4Pd8 cuboctahedra; edges with four Pd(4,4)Bi4Pd8 cuboctahedra; edges with four equivalent Bi(1)Pd12 cuboctahedra; edges with four equivalent Bi(2)Pd12 cuboctahedra; faces with two equivalent Pd(1)Bi4Pd8 cuboctahedra; faces with two equivalent Pd(2)Bi4Pd8 cuboctahedra; faces with two equivalent Pd(3)Bi4Pd8 cuboctahedra; faces with two equivalent Bi(1)Pd12 cuboctahedra; faces with two equivalent Bi(2)Pd12 cuboctahedra; and faces with eight Pd(4,4,4)Bi4Pd8 cuboctahedra. There is one shorter (2.90 Å) and one longer (2.91 Å) Pd(1)-Pd(1) bond length. Both Pd(1)-Pd(2) bond lengths are 2.89 Å. There is one shorter (2.85 Å) and one longer (2.97 Å) Pd(1)-Pd(3) bond length. Both Pd(1)-Pd(4) bond lengths are 2.92 Å. There is one shorter (2.86 Å) and one longer (2.96 Å) Pd(1)-Bi(1) bond length. Both Pd(1)-Bi(2) bond lengths are 2.90 Å. In the second Pd site, Pd(1) is bonded to two equivalent Pd(1); two equivalent Pd(2); two equivalent Pd(3); two Pd(4,4); two equivalent Bi(1); and two equivalent Bi(2) atoms to form PdBi4Pd8 cuboctahedra that share corners with twelve Pd(1,1,1,1)Bi4Pd8 cuboctahedra; edges with four Pd(1,1)Bi4Pd8 cuboctahedra; edges with four equivalent Pd(2)Bi4Pd8 cuboctahedra; edges with four equivalent Pd(3)Bi4Pd8 cuboctahedra; edges with four equivalent Pd(4)Bi4Pd8 cuboctahedra; edges with four equivalent Bi(1)Pd12 cuboctahedra; edges with four equivalent Bi(2)Pd12 cuboctahedra; faces with two equivalent Pd(1)Bi4Pd8 cuboctahedra; faces with two equivalent Pd(2)Bi4Pd8 cuboctahedra; faces with two equivalent Pd(3)Bi4Pd8 cuboctahedra; faces with two equivalent Bi(1)Pd12 cuboctahedra; faces with two equivalent Bi(2)Pd12 cuboctahedra; and faces with eight Pd(4,4,4)Bi4Pd8 cuboctahedra. Both Pd(1)-Pd(2) bond lengths are 2.89 Å. There is one shorter (2.85 Å) and one longer (2.97 Å) Pd(1)-Pd(3) bond length. Both Pd(1)-Pd(4,4) bond lengths are 2.92 Å. There is one shorter (2.86 Å) and one longer (2.96 Å) Pd(1)-Bi(1) bond length. Both Pd(1)-Bi(2) bond lengths are 2.90 Å. In the third Pd site, Pd(1) is bonded to two equivalent Pd(1), two equivalent Pd(2), two equivalent Pd(3), two equivalent Pd(4), two equivalent Bi(1), and two equivalent Bi(2) atoms to form PdBi4Pd8 cuboctahedra that share corners with twelve Pd(1,1,1,1)Bi4Pd8 cuboctahedra; edges with four Pd(1,1)Bi4Pd8 cuboctahedra; edges with four equivalent Pd(2)Bi4Pd8 cuboctahedra; edges with four equivalent Pd(3)Bi4Pd8 cuboctahedra; edges with four Pd(4,4)Bi4Pd8 cuboctahedra; edges with four equivalent Bi(1)Pd12 cuboctahedra; edges with four equivalent Bi(2)Pd12 cuboctahedra; faces with two equivalent Pd(1)Bi4Pd8 cuboctahedra; faces with two equivalent Pd(2)Bi4Pd8 cuboctahedra; faces with two equivalent Pd(3)Bi4Pd8 cuboctahedra; faces with two equivalent Bi(1)Pd12 cuboctahedra; faces with two equivalent Bi(2)Pd12 cuboctahedra; and faces with eight Pd(4,4,4)Bi4Pd8 cuboctahedra. There is one shorter (2.90 Å) and one longer (2.91 Å) Pd(1)-Pd(1) bond length. Both Pd(1)-Pd(2) bond lengths are 2.89 Å. There is one shorter (2.85 Å) and one longer (2.97 Å) Pd(1)-Pd(3) bond length. Both Pd(1)-Pd(4) bond lengths are 2.92 Å. There is one shorter (2.86 Å) and one longer (2.96 Å) Pd(1)-Bi(1) bond length. Both Pd(1)-Bi(2) bond lengths are 2.90 Å. In the fourth Pd site, Pd(1) is bonded to two equivalent Pd(1); two equivalent Pd(2); two equivalent Pd(3); two Pd(4,4); two equivalent Bi(1); and two equivalent Bi(2) atoms to form PdBi4Pd8 cuboctahedra that share corners with twelve Pd(1,1,1,1)Bi4Pd8 cuboctahedra; edges with four Pd(1,1)Bi4Pd8 cuboctahedra; edges with four equivalent Pd(2)Bi4Pd8 cuboctahedra; edges with four equivalent Pd(3)Bi4Pd8 cuboctahedra; edges with four equivalent Pd(4)Bi4Pd8 cuboctahedra; edges with four equivalent Bi(1)Pd12 cuboctahedra; edges with four equivalent Bi(2)Pd12 cuboctahedra; faces with two equivalent Pd(1)Bi4Pd8 cuboctahedra; faces with two equivalent Pd(2)Bi4Pd8 cuboctahedra; faces with two equivalent Pd(3)Bi4Pd8 cuboctahedra; faces with two equivalent Bi(1)Pd12 cuboctahedra; faces with two equivalent Bi(2)Pd12 cuboctahedra; and faces with eight Pd(4,4,4)Bi4Pd8 cuboctahedra. Both Pd(1)-Pd(2) bond lengths are 2.89 Å. There is one shorter (2.85 Å) and one longer (2.97 Å) Pd(1)-Pd(3) bond length. Both Pd(1)-Pd(4,4) bond lengths are 2.92 Å. There is one shorter (2.86 Å) and one longer (2.96 Å) Pd(1)-Bi(1) bond length. Both Pd(1)-Bi(2) bond lengths are 2.90 Å. In the fifth Pd site, Pd(2) is bonded to four Pd(1,1,1,1); four Pd(4,4); two equivalent Bi(1); and two equivalent Bi(2) atoms to form PdBi4Pd8 cuboctahedra that share corners with two equivalent Pd(2)Bi4Pd8 cuboctahedra; corners with eight Pd(4,4)Bi4Pd8 cuboctahedra; corners with eight equivalent Bi(2)Pd12 cuboctahedra; edges with two equivalent Pd(2)Bi4Pd8 cuboctahedra; edges with four equivalent Pd(3)Bi4Pd8 cuboctahedra; edges with four Pd(4,4)Bi4Pd8 cuboctahedra; edges with eight Pd(1,1,1,1)Bi4Pd8 cuboctahedra; faces with two equivalent Pd(2)Bi4Pd8 cuboctahedra; faces with two equivalent Bi(2)Pd12 cuboctahedra; faces with four Pd(1,1,1,1)Bi4Pd8 cuboctahedra; faces with four equivalent Pd(3)Bi4Pd8 cuboctahedra; faces with four Pd(4,4)Bi4Pd8 cuboctahedra; and faces with four equivalent Bi(1)Pd12 cuboctahedra. All Pd(2)-Pd(4,4) bond lengths are 2.91 Å. Both Pd(2)-Bi(1) bond lengths are 2.95 Å. Both Pd(2)-Bi(2) bond lengths are 2.90 Å. In the sixth Pd site, Pd(3) is bonded to four Pd(1,1); four Pd(4,4,4); two equivalent Bi(1); and two equivalent Bi(2) atoms to form PdBi4Pd8 cuboctahedra that share corners with four equivalent Pd(3)Bi4Pd8 cuboctahedra; corners with eight equivalent Bi(1)Pd12 cuboctahedra; edges with four equivalent Pd(2)Bi4Pd8 cuboctahedra; edges with four equivalent Pd(3)Bi4Pd8 cuboctahedra; edges with eight Pd(1,1,1,1)Bi4Pd8 cuboctahedra; edges with eight Pd(4,4,4)Bi4Pd8 cuboctahedra; faces with two equivalent Bi(1)Pd12 cuboctahedra; faces with four Pd(1,1)Bi4Pd8 cuboctahedra; faces with four equivalent Pd(2)Bi4Pd8 cuboctahedra; faces with four Pd(4,4,4)Bi4Pd8 cuboctahedra; and faces with four equivalent Bi(2)Pd12 cuboctahedra. All Pd(3)-Pd(4,4,4) bond lengths are 2.88 Å. Both Pd(3)-Bi(1) bond lengths are 2.90 Å. Both Pd(3)-Bi(2) bond lengths are 2.95 Å. In the seventh Pd site, Pd(4) is bonded to two Pd(1,1); two equivalent Pd(2); two equivalent Pd(3); two equivalent Pd(4); two equivalent Bi(1); and two equivalent Bi(2) atoms to form PdBi4Pd8 cuboctahedra that share corners with four equivalent Pd(2)Bi4Pd8 cuboctahedra; corners with four equivalent Bi(2)Pd12 cuboctahedra; corners with ten Pd(4,4)Bi4Pd8 cuboctahedra; edges with two equivalent Pd(2)Bi4Pd8 cuboctahedra; edges with two equivalent Pd(4)Bi4Pd8 cuboctahedra; edges with two equivalent Bi(2)Pd12 cuboctahedra; edges with four Pd(1,1)Bi4Pd8 cuboctahedra; edges with four equivalent Pd(3)Bi4Pd8 cuboctahedra; edges with four equivalent Bi(1)Pd12 cuboctahedra; faces with two equivalent Pd(2)Bi4Pd8 cuboctahedra; faces with two equivalent Pd(3)Bi4Pd8 cuboctahedra; faces with two equivalent Bi(1)Pd12 cuboctahedra; faces with two equivalent Bi(2)Pd12 cuboctahedra; faces with four Pd(4,4)Bi4Pd8 cuboctahedra; and faces with eight Pd(1,1,1,1)Bi4Pd8 cuboctahedra. There is one shorter (2.89 Å) and one longer (2.91 Å) Pd(4)-Pd(4) bond length. Both Pd(4)-Bi(1) bond lengths are 2.88 Å. Both Pd(4)-Bi(2) bond lengths are 2.91 Å. In the eighth Pd site, Pd(4) is bonded to two Pd(1,1); two equivalent Pd(2); two equivalent Pd(3); two equivalent Pd(4); two equivalent Bi(1); and two equivalent Bi(2) atoms to form PdBi4Pd8 cuboctahedra that share corners with four equivalent Pd(2)Bi4Pd8 cuboctahedra; corners with four equivalent Bi(2)Pd12 cuboctahedra; corners with ten Pd(4,4,4)Bi4Pd8 cuboctahedra; edges with two equivalent Pd(2)Bi4Pd8 cuboctahedra; edges with two equivalent Pd(4)Bi4Pd8 cuboctahedra; edges with two equivalent Bi(2)Pd12 cuboctahedra; edges with four Pd(1,1)Bi4Pd8 cuboctahedra; edges with four equivalent Pd(3)Bi4Pd8 cuboctahedra; edges with four equivalent Bi(1)Pd12 cuboctahedra; faces with two equivalent Pd(2)Bi4Pd8 cuboctahedra; faces with two equivalent Pd(3)Bi4Pd8 cuboctahedra; faces with two equivalent Bi(1)Pd12 cuboctahedra; faces with two equivalent Bi(2)Pd12 cuboctahedra; faces with four Pd(4,4)Bi4Pd8 cuboctahedra; and faces with eight Pd(1,1,1,1)Bi4Pd8 cuboctahedra. There is one shorter (2.89 Å) and one longer (2.91 Å) Pd(4)-Pd(4) bond length. Both Pd(4)-Bi(1) bond lengths are 2.88 Å. Both Pd(4)-Bi(2) bond lengths are 2.91 Å. In the ninth Pd site, Pd(4) is bonded to two Pd(1,1); two equivalent Pd(2); two equivalent Pd(3); two equivalent Pd(4); two equivalent Bi(1); and two equivalent Bi(2) atoms to form PdBi4Pd8 cuboctahedra that share corners with four equivalent Pd(2)Bi4Pd8 cuboctahedra; corners with four equivalent Bi(2)Pd12 cuboctahedra; corners with ten Pd(4,4)Bi4Pd8 cuboctahedra; edges with two equivalent Pd(2)Bi4Pd8 cuboctahedra; edges with two equivalent Pd(4)Bi4Pd8 cuboctahedra; edges with two equivalent Bi(2)Pd12 cuboctahedra; edges with four Pd(1,1)Bi4Pd8 cuboctahedra; edges with four equivalent Pd(3)Bi4Pd8 cuboctahedra; edges with four equivalent Bi(1)Pd12 cuboctahedra; faces with two equivalent Pd(2)Bi4Pd8 cuboctahedra; faces with two equivalent Pd(3)Bi4Pd8 cuboctahedra; faces with two equivalent Bi(1)Pd12 cuboctahedra; faces with two equivalent Bi(2)Pd12 cuboctahedra; faces with four Pd(4,4)Bi4Pd8 cuboctahedra; and faces with eight Pd(1,1,1,1)Bi4Pd8 cuboctahedra. Both Pd(4)-Pd(2) bond lengths are 2.91 Å. Both Pd(4)-Bi(1) bond lengths are 2.88 Å. Both Pd(4)-Bi(2) bond lengths are 2.91 Å. There are two inequivalent Bi sites. In the first Bi site, Bi(1) is bonded to two equivalent Pd(2); two equivalent Pd(3); four Pd(1,1); and four Pd(4,4,4) atoms to form BiPd12 cuboctahedra that share corners with four equivalent Bi(1)Pd12 cuboctahedra; corners with eight equivalent Pd(3)Bi4Pd8 cuboctahedra; edges with four equivalent Bi(1)Pd12 cuboctahedra; edges with four equivalent Bi(2)Pd12 cuboctahedra; edges with eight Pd(1,1,1,1)Bi4Pd8 cuboctahedra; edges with eight Pd(4,4,4)Bi4Pd8 cuboctahedra; faces with two equivalent Pd(3)Bi4Pd8 cuboctahedra; faces with four Pd(1,1)Bi4Pd8 cuboctahedra; faces with four equivalent Pd(2)Bi4Pd8 cuboctahedra; faces with four Pd(4,4,4)Bi4Pd8 cuboctahedra; and faces with four equivalent Bi(2)Pd12 cuboctahedra. In the second Bi site, Bi(2) is bonded to two equivalent Pd(2); two equivalent Pd(3); four Pd(1,1,1,1); and four Pd(4,4) atoms to form BiPd12 cuboctahedra that share corners with two equivalent Bi(2)Pd12 cuboctahedra; corners with eight equivalent Pd(2)Bi4Pd8 cuboctahedra; corners with eight Pd(4,4)Bi4Pd8 cuboctahedra; edges with two equivalent Bi(2)Pd12 cuboctahedra; edges with four Pd(4,4)Bi4Pd8 cuboctahedra; edges with four equivalent Bi(1)Pd12 cuboctahedra; edges with eight Pd(1,1,1,1)Bi4Pd8 cuboctahedra; faces with two equivalent Pd(2)Bi4Pd8 cuboctahedra; faces with two equivalent Bi(2)Pd12 cuboctahedra; faces with four Pd(1,1,1,1)Bi4Pd8 cuboctahedra; faces with four equivalent Pd(3)Bi4Pd8 cuboctahedra; faces with four Pd(4,4)Bi4Pd8 cuboctahedra; and faces with four equivalent Bi(1)Pd12 cuboctahedra.