Ag3Cd crystallizes in the trigonal R-3m space group. There are two inequivalent Ag sites. In the first Ag site, Ag(1) is bonded to three equivalent Ag(2), six equivalent Ag(1), and three equivalent Cd(1) atoms to form AgCd3Ag9 cuboctahedra that share corners with twelve equivalent Ag(1)Cd3Ag9 cuboctahedra, edges with six equivalent Ag(2)Ag12 cuboctahedra, edges with six equivalent Cd(1)Cd6Ag6 cuboctahedra, edges with twelve equivalent Ag(1)Cd3Ag9 cuboctahedra, faces with six equivalent Ag(2)Ag12 cuboctahedra, faces with six equivalent Ag(1)Cd3Ag9 cuboctahedra, and faces with six equivalent Cd(1)Cd6Ag6 cuboctahedra. In the second Ag site, Ag(2) is bonded to six equivalent Ag(1) and six equivalent Ag(2) atoms to form AgAg12 cuboctahedra that share corners with six equivalent Ag(2)Ag12 cuboctahedra, corners with six equivalent Cd(1)Cd6Ag6 cuboctahedra, edges with six equivalent Ag(2)Ag12 cuboctahedra, edges with six equivalent Cd(1)Cd6Ag6 cuboctahedra, edges with twelve equivalent Ag(1)Cd3Ag9 cuboctahedra, faces with six equivalent Ag(2)Ag12 cuboctahedra, and faces with twelve equivalent Ag(1)Cd3Ag9 cuboctahedra. Cd(1) is bonded to six equivalent Ag(1) and six equivalent Cd(1) atoms to form CdCd6Ag6 cuboctahedra that share corners with six equivalent Ag(2)Ag12 cuboctahedra, corners with six equivalent Cd(1)Cd6Ag6 cuboctahedra, edges with six equivalent Ag(2)Ag12 cuboctahedra, edges with six equivalent Cd(1)Cd6Ag6 cuboctahedra, edges with twelve equivalent Ag(1)Cd3Ag9 cuboctahedra, faces with six equivalent Cd(1)Cd6Ag6 cuboctahedra, and faces with twelve equivalent Ag(1)Cd3Ag9 cuboctahedra.
Ag3Cd crystallizes in the trigonal R-3m space group. There are two inequivalent Ag sites. In the first Ag site, Ag(1) is bonded to three equivalent Ag(2), six equivalent Ag(1), and three equivalent Cd(1) atoms to form AgCd3Ag9 cuboctahedra that share corners with twelve equivalent Ag(1)Cd3Ag9 cuboctahedra, edges with six equivalent Ag(2)Ag12 cuboctahedra, edges with six equivalent Cd(1)Cd6Ag6 cuboctahedra, edges with twelve equivalent Ag(1)Cd3Ag9 cuboctahedra, faces with six equivalent Ag(2)Ag12 cuboctahedra, faces with six equivalent Ag(1)Cd3Ag9 cuboctahedra, and faces with six equivalent Cd(1)Cd6Ag6 cuboctahedra. All Ag(1)-Ag(2) bond lengths are 2.88 Å. All Ag(1)-Ag(1) bond lengths are 2.97 Å. All Ag(1)-Cd(1) bond lengths are 2.97 Å. In the second Ag site, Ag(2) is bonded to six equivalent Ag(1) and six equivalent Ag(2) atoms to form AgAg12 cuboctahedra that share corners with six equivalent Ag(2)Ag12 cuboctahedra, corners with six equivalent Cd(1)Cd6Ag6 cuboctahedra, edges with six equivalent Ag(2)Ag12 cuboctahedra, edges with six equivalent Cd(1)Cd6Ag6 cuboctahedra, edges with twelve equivalent Ag(1)Cd3Ag9 cuboctahedra, faces with six equivalent Ag(2)Ag12 cuboctahedra, and faces with twelve equivalent Ag(1)Cd3Ag9 cuboctahedra. All Ag(2)-Ag(2) bond lengths are 2.97 Å. Cd(1) is bonded to six equivalent Ag(1) and six equivalent Cd(1) atoms to form CdCd6Ag6 cuboctahedra that share corners with six equivalent Ag(2)Ag12 cuboctahedra, corners with six equivalent Cd(1)Cd6Ag6 cuboctahedra, edges with six equivalent Ag(2)Ag12 cuboctahedra, edges with six equivalent Cd(1)Cd6Ag6 cuboctahedra, edges with twelve equivalent Ag(1)Cd3Ag9 cuboctahedra, faces with six equivalent Cd(1)Cd6Ag6 cuboctahedra, and faces with twelve equivalent Ag(1)Cd3Ag9 cuboctahedra. All Cd(1)-Cd(1) bond lengths are 2.97 Å.