Mo2Rh2Pd is beta-derived structured and crystallizes in the trigonal P3m1 space group. There are four inequivalent Mo sites. In the first Mo site, Mo(1) is bonded to six equivalent Mo(1), three equivalent Rh(2), and three equivalent Rh(3) atoms to form MoMo6Rh6 cuboctahedra that share corners with six equivalent Mo(1)Mo6Rh6 cuboctahedra, corners with six equivalent Mo(2)Mo6Rh6 cuboctahedra, corners with six equivalent Pd(2)Pd6Rh6 cuboctahedra, edges with six equivalent Mo(1)Mo6Rh6 cuboctahedra, edges with six equivalent Rh(2)Mo3Pd3Rh6 cuboctahedra, edges with six equivalent Rh(3)Mo6Rh6 cuboctahedra,  a faceface with one Mo(2)Mo6Rh6 cuboctahedra,  a faceface with one Pd(2)Pd6Rh6 cuboctahedra, faces with six equivalent Mo(1)Mo6Rh6 cuboctahedra, faces with six equivalent Rh(2)Mo3Pd3Rh6 cuboctahedra, and faces with six equivalent Rh(3)Mo6Rh6 cuboctahedra. In the second Mo site, Mo(2) is bonded to six equivalent Mo(2), three equivalent Rh(3), and three equivalent Rh(4) atoms to form MoMo6Rh6 cuboctahedra that share corners with six equivalent Mo(1)Mo6Rh6 cuboctahedra, corners with six equivalent Mo(2)Mo6Rh6 cuboctahedra, corners with six equivalent Mo(3)Mo9Rh3 cuboctahedra, edges with six equivalent Mo(2)Mo6Rh6 cuboctahedra, edges with six equivalent Rh(3)Mo6Rh6 cuboctahedra, edges with six equivalent Rh(4)Mo6Rh6 cuboctahedra,  a faceface with one Mo(1)Mo6Rh6 cuboctahedra,  a faceface with one Mo(3)Mo9Rh3 cuboctahedra, faces with six equivalent Mo(2)Mo6Rh6 cuboctahedra, faces with six equivalent Rh(3)Mo6Rh6 cuboctahedra, and faces with six equivalent Rh(4)Mo6Rh6 cuboctahedra. In the third Mo site, Mo(3) is bonded to three equivalent Mo(4), six equivalent Mo(3), and three equivalent Rh(4) atoms to form MoMo9Rh3 cuboctahedra that share corners with six equivalent Mo(2)Mo6Rh6 cuboctahedra, corners with six equivalent Mo(3)Mo9Rh3 cuboctahedra, corners with six equivalent Pd(1)Mo3Pd6Rh3 cuboctahedra, edges with six equivalent Mo(4)Mo9Pd3 cuboctahedra, edges with six equivalent Mo(3)Mo9Rh3 cuboctahedra, edges with six equivalent Rh(4)Mo6Rh6 cuboctahedra,  a faceface with one Mo(2)Mo6Rh6 cuboctahedra,  a faceface with one Pd(1)Mo3Pd6Rh3 cuboctahedra, faces with six equivalent Mo(4)Mo9Pd3 cuboctahedra, faces with six equivalent Mo(3)Mo9Rh3 cuboctahedra, and faces with six equivalent Rh(4)Mo6Rh6 cuboctahedra. In the fourth Mo site, Mo(4) is bonded to three equivalent Mo(3), six equivalent Mo(4), and three equivalent Pd(1) atoms to form MoMo9Pd3 cuboctahedra that share corners with six equivalent Mo(4)Mo9Pd3 cuboctahedra, corners with six equivalent Rh(4)Mo6Rh6 cuboctahedra, corners with six equivalent Rh(1)Pd6Rh6 cuboctahedra, edges with six equivalent Mo(4)Mo9Pd3 cuboctahedra, edges with six equivalent Mo(3)Mo9Rh3 cuboctahedra, edges with six equivalent Pd(1)Mo3Pd6Rh3 cuboctahedra,  a faceface with one Rh(4)Mo6Rh6 cuboctahedra,  a faceface with one Rh(1)Pd6Rh6 cuboctahedra, faces with six equivalent Mo(4)Mo9Pd3 cuboctahedra, faces with six equivalent Mo(3)Mo9Rh3 cuboctahedra, and faces with six equivalent Pd(1)Mo3Pd6Rh3 cuboctahedra. There are four inequivalent Rh sites. In the first Rh site, Rh(1) is bonded to six equivalent Rh(1), three equivalent Pd(1), and three equivalent Pd(2) atoms to form RhPd6Rh6 cuboctahedra that share corners with six equivalent Mo(4)Mo9Pd3 cuboctahedra, corners with six equivalent Rh(2)Mo3Pd3Rh6 cuboctahedra, corners with six equivalent Rh(1)Pd6Rh6 cuboctahedra, edges with six equivalent Rh(1)Pd6Rh6 cuboctahedra, edges with six equivalent Pd(1)Mo3Pd6Rh3 cuboctahedra, edges with six equivalent Pd(2)Pd6Rh6 cuboctahedra,  a faceface with one Mo(4)Mo9Pd3 cuboctahedra,  a faceface with one Rh(2)Mo3Pd3Rh6 cuboctahedra, faces with six equivalent Rh(1)Pd6Rh6 cuboctahedra, faces with six equivalent Pd(1)Mo3Pd6Rh3 cuboctahedra, and faces with six equivalent Pd(2)Pd6Rh6 cuboctahedra. In the second Rh site, Rh(2) is bonded to three equivalent Mo(1), six equivalent Rh(2), and three equivalent Pd(2) atoms to form RhMo3Pd3Rh6 cuboctahedra that share corners with six equivalent Rh(2)Mo3Pd3Rh6 cuboctahedra, corners with six equivalent Rh(3)Mo6Rh6 cuboctahedra, corners with six equivalent Rh(1)Pd6Rh6 cuboctahedra, edges with six equivalent Mo(1)Mo6Rh6 cuboctahedra, edges with six equivalent Rh(2)Mo3Pd3Rh6 cuboctahedra, edges with six equivalent Pd(2)Pd6Rh6 cuboctahedra,  a faceface with one Rh(3)Mo6Rh6 cuboctahedra,  a faceface with one Rh(1)Pd6Rh6 cuboctahedra, faces with six equivalent Mo(1)Mo6Rh6 cuboctahedra, faces with six equivalent Rh(2)Mo3Pd3Rh6 cuboctahedra, and faces with six equivalent Pd(2)Pd6Rh6 cuboctahedra. In the third Rh site, Rh(3) is bonded to three equivalent Mo(1), three equivalent Mo(2), and six equivalent Rh(3) atoms to form RhMo6Rh6 cuboctahedra that share corners with six equivalent Rh(2)Mo3Pd3Rh6 cuboctahedra, corners with six equivalent Rh(3)Mo6Rh6 cuboctahedra, corners with six equivalent Rh(4)Mo6Rh6 cuboctahedra, edges with six equivalent Mo(1)Mo6Rh6 cuboctahedra, edges with six equivalent Mo(2)Mo6Rh6 cuboctahedra, edges with six equivalent Rh(3)Mo6Rh6 cuboctahedra,  a faceface with one Rh(2)Mo3Pd3Rh6 cuboctahedra,  a faceface with one Rh(4)Mo6Rh6 cuboctahedra, faces with six equivalent Mo(1)Mo6Rh6 cuboctahedra, faces with six equivalent Mo(2)Mo6Rh6 cuboctahedra, and faces with six equivalent Rh(3)Mo6Rh6 cuboctahedra. In the fourth Rh site, Rh(4) is bonded to three equivalent Mo(2), three equivalent Mo(3), and six equivalent Rh(4) atoms to form RhMo6Rh6 cuboctahedra that share corners with six equivalent Mo(4)Mo9Pd3 cuboctahedra, corners with six equivalent Rh(3)Mo6Rh6 cuboctahedra, corners with six equivalent Rh(4)Mo6Rh6 cuboctahedra, edges with six equivalent Mo(2)Mo6Rh6 cuboctahedra, edges with six equivalent Mo(3)Mo9Rh3 cuboctahedra, edges with six equivalent Rh(4)Mo6Rh6 cuboctahedra,  a faceface with one Mo(4)Mo9Pd3 cuboctahedra,  a faceface with one Rh(3)Mo6Rh6 cuboctahedra, faces with six equivalent Mo(2)Mo6Rh6 cuboctahedra, faces with six equivalent Mo(3)Mo9Rh3 cuboctahedra, and faces with six equivalent Rh(4)Mo6Rh6 cuboctahedra. There are two inequivalent Pd sites. In the first Pd site, Pd(1) is bonded to three equivalent Mo(4), three equivalent Rh(1), and six equivalent Pd(1) atoms to form PdMo3Pd6Rh3 cuboctahedra that share corners with six equivalent Mo(3)Mo9Rh3 cuboctahedra, corners with six equivalent Pd(1)Mo3Pd6Rh3 cuboctahedra, corners with six equivalent Pd(2)Pd6Rh6 cuboctahedra, edges with six equivalent Mo(4)Mo9Pd3 cuboctahedra, edges with six equivalent Rh(1)Pd6Rh6 cuboctahedra, edges with six equivalent Pd(1)Mo3Pd6Rh3 cuboctahedra,  a faceface with one Mo(3)Mo9Rh3 cuboctahedra,  a faceface with one Pd(2)Pd6Rh6 cuboctahedra, faces with six equivalent Mo(4)Mo9Pd3 cuboctahedra, faces with six equivalent Rh(1)Pd6Rh6 cuboctahedra, and faces with six equivalent Pd(1)Mo3Pd6Rh3 cuboctahedra. In the second Pd site, Pd(2) is bonded to three equivalent Rh(1), three equivalent Rh(2), and six equivalent Pd(2) atoms to form PdPd6Rh6 cuboctahedra that share corners with six equivalent Mo(1)Mo6Rh6 cuboctahedra, corners with six equivalent Pd(1)Mo3Pd6Rh3 cuboctahedra, corners with six equivalent Pd(2)Pd6Rh6 cuboctahedra, edges with six equivalent Rh(2)Mo3Pd3Rh6 cuboctahedra, edges with six equivalent Rh(1)Pd6Rh6 cuboctahedra, edges with six equivalent Pd(2)Pd6Rh6 cuboctahedra,  a faceface with one Mo(1)Mo6Rh6 cuboctahedra,  a faceface with one Pd(1)Mo3Pd6Rh3 cuboctahedra, faces with six equivalent Rh(2)Mo3Pd3Rh6 cuboctahedra, faces with six equivalent Rh(1)Pd6Rh6 cuboctahedra, and faces with six equivalent Pd(2)Pd6Rh6 cuboctahedra.
Mo2Rh2Pd is beta-derived structured and crystallizes in the trigonal P3m1 space group. There are four inequivalent Mo sites. In the first Mo site, Mo(1) is bonded to six equivalent Mo(1), three equivalent Rh(2), and three equivalent Rh(3) atoms to form MoMo6Rh6 cuboctahedra that share corners with six equivalent Mo(1)Mo6Rh6 cuboctahedra, corners with six equivalent Mo(2)Mo6Rh6 cuboctahedra, corners with six equivalent Pd(2)Pd6Rh6 cuboctahedra, edges with six equivalent Mo(1)Mo6Rh6 cuboctahedra, edges with six equivalent Rh(2)Mo3Pd3Rh6 cuboctahedra, edges with six equivalent Rh(3)Mo6Rh6 cuboctahedra,  a faceface with one Mo(2)Mo6Rh6 cuboctahedra,  a faceface with one Pd(2)Pd6Rh6 cuboctahedra, faces with six equivalent Mo(1)Mo6Rh6 cuboctahedra, faces with six equivalent Rh(2)Mo3Pd3Rh6 cuboctahedra, and faces with six equivalent Rh(3)Mo6Rh6 cuboctahedra. All Mo(1)-Mo(1) bond lengths are 2.78 Å. All Mo(1)-Rh(2) bond lengths are 2.65 Å. All Mo(1)-Rh(3) bond lengths are 2.79 Å. In the second Mo site, Mo(2) is bonded to six equivalent Mo(2), three equivalent Rh(3), and three equivalent Rh(4) atoms to form MoMo6Rh6 cuboctahedra that share corners with six equivalent Mo(1)Mo6Rh6 cuboctahedra, corners with six equivalent Mo(2)Mo6Rh6 cuboctahedra, corners with six equivalent Mo(3)Mo9Rh3 cuboctahedra, edges with six equivalent Mo(2)Mo6Rh6 cuboctahedra, edges with six equivalent Rh(3)Mo6Rh6 cuboctahedra, edges with six equivalent Rh(4)Mo6Rh6 cuboctahedra,  a faceface with one Mo(1)Mo6Rh6 cuboctahedra,  a faceface with one Mo(3)Mo9Rh3 cuboctahedra, faces with six equivalent Mo(2)Mo6Rh6 cuboctahedra, faces with six equivalent Rh(3)Mo6Rh6 cuboctahedra, and faces with six equivalent Rh(4)Mo6Rh6 cuboctahedra. All Mo(2)-Mo(2) bond lengths are 2.78 Å. All Mo(2)-Rh(3) bond lengths are 2.74 Å. All Mo(2)-Rh(4) bond lengths are 2.74 Å. In the third Mo site, Mo(3) is bonded to three equivalent Mo(4), six equivalent Mo(3), and three equivalent Rh(4) atoms to form MoMo9Rh3 cuboctahedra that share corners with six equivalent Mo(2)Mo6Rh6 cuboctahedra, corners with six equivalent Mo(3)Mo9Rh3 cuboctahedra, corners with six equivalent Pd(1)Mo3Pd6Rh3 cuboctahedra, edges with six equivalent Mo(4)Mo9Pd3 cuboctahedra, edges with six equivalent Mo(3)Mo9Rh3 cuboctahedra, edges with six equivalent Rh(4)Mo6Rh6 cuboctahedra,  a faceface with one Mo(2)Mo6Rh6 cuboctahedra,  a faceface with one Pd(1)Mo3Pd6Rh3 cuboctahedra, faces with six equivalent Mo(4)Mo9Pd3 cuboctahedra, faces with six equivalent Mo(3)Mo9Rh3 cuboctahedra, and faces with six equivalent Rh(4)Mo6Rh6 cuboctahedra. All Mo(3)-Mo(4) bond lengths are 2.89 Å. All Mo(3)-Mo(3) bond lengths are 2.78 Å. All Mo(3)-Rh(4) bond lengths are 2.72 Å. In the fourth Mo site, Mo(4) is bonded to three equivalent Mo(3), six equivalent Mo(4), and three equivalent Pd(1) atoms to form MoMo9Pd3 cuboctahedra that share corners with six equivalent Mo(4)Mo9Pd3 cuboctahedra, corners with six equivalent Rh(4)Mo6Rh6 cuboctahedra, corners with six equivalent Rh(1)Pd6Rh6 cuboctahedra, edges with six equivalent Mo(4)Mo9Pd3 cuboctahedra, edges with six equivalent Mo(3)Mo9Rh3 cuboctahedra, edges with six equivalent Pd(1)Mo3Pd6Rh3 cuboctahedra,  a faceface with one Rh(4)Mo6Rh6 cuboctahedra,  a faceface with one Rh(1)Pd6Rh6 cuboctahedra, faces with six equivalent Mo(4)Mo9Pd3 cuboctahedra, faces with six equivalent Mo(3)Mo9Rh3 cuboctahedra, and faces with six equivalent Pd(1)Mo3Pd6Rh3 cuboctahedra. All Mo(4)-Mo(4) bond lengths are 2.78 Å. All Mo(4)-Pd(1) bond lengths are 2.72 Å. There are four inequivalent Rh sites. In the first Rh site, Rh(1) is bonded to six equivalent Rh(1), three equivalent Pd(1), and three equivalent Pd(2) atoms to form RhPd6Rh6 cuboctahedra that share corners with six equivalent Mo(4)Mo9Pd3 cuboctahedra, corners with six equivalent Rh(2)Mo3Pd3Rh6 cuboctahedra, corners with six equivalent Rh(1)Pd6Rh6 cuboctahedra, edges with six equivalent Rh(1)Pd6Rh6 cuboctahedra, edges with six equivalent Pd(1)Mo3Pd6Rh3 cuboctahedra, edges with six equivalent Pd(2)Pd6Rh6 cuboctahedra,  a faceface with one Mo(4)Mo9Pd3 cuboctahedra,  a faceface with one Rh(2)Mo3Pd3Rh6 cuboctahedra, faces with six equivalent Rh(1)Pd6Rh6 cuboctahedra, faces with six equivalent Pd(1)Mo3Pd6Rh3 cuboctahedra, and faces with six equivalent Pd(2)Pd6Rh6 cuboctahedra. All Rh(1)-Rh(1) bond lengths are 2.78 Å. All Rh(1)-Pd(1) bond lengths are 2.79 Å. All Rh(1)-Pd(2) bond lengths are 2.75 Å. In the second Rh site, Rh(2) is bonded to three equivalent Mo(1), six equivalent Rh(2), and three equivalent Pd(2) atoms to form RhMo3Pd3Rh6 cuboctahedra that share corners with six equivalent Rh(2)Mo3Pd3Rh6 cuboctahedra, corners with six equivalent Rh(3)Mo6Rh6 cuboctahedra, corners with six equivalent Rh(1)Pd6Rh6 cuboctahedra, edges with six equivalent Mo(1)Mo6Rh6 cuboctahedra, edges with six equivalent Rh(2)Mo3Pd3Rh6 cuboctahedra, edges with six equivalent Pd(2)Pd6Rh6 cuboctahedra,  a faceface with one Rh(3)Mo6Rh6 cuboctahedra,  a faceface with one Rh(1)Pd6Rh6 cuboctahedra, faces with six equivalent Mo(1)Mo6Rh6 cuboctahedra, faces with six equivalent Rh(2)Mo3Pd3Rh6 cuboctahedra, and faces with six equivalent Pd(2)Pd6Rh6 cuboctahedra. All Rh(2)-Rh(2) bond lengths are 2.78 Å. All Rh(2)-Pd(2) bond lengths are 2.82 Å. In the third Rh site, Rh(3) is bonded to three equivalent Mo(1), three equivalent Mo(2), and six equivalent Rh(3) atoms to form RhMo6Rh6 cuboctahedra that share corners with six equivalent Rh(2)Mo3Pd3Rh6 cuboctahedra, corners with six equivalent Rh(3)Mo6Rh6 cuboctahedra, corners with six equivalent Rh(4)Mo6Rh6 cuboctahedra, edges with six equivalent Mo(1)Mo6Rh6 cuboctahedra, edges with six equivalent Mo(2)Mo6Rh6 cuboctahedra, edges with six equivalent Rh(3)Mo6Rh6 cuboctahedra,  a faceface with one Rh(2)Mo3Pd3Rh6 cuboctahedra,  a faceface with one Rh(4)Mo6Rh6 cuboctahedra, faces with six equivalent Mo(1)Mo6Rh6 cuboctahedra, faces with six equivalent Mo(2)Mo6Rh6 cuboctahedra, and faces with six equivalent Rh(3)Mo6Rh6 cuboctahedra. All Rh(3)-Rh(3) bond lengths are 2.78 Å. In the fourth Rh site, Rh(4) is bonded to three equivalent Mo(2), three equivalent Mo(3), and six equivalent Rh(4) atoms to form RhMo6Rh6 cuboctahedra that share corners with six equivalent Mo(4)Mo9Pd3 cuboctahedra, corners with six equivalent Rh(3)Mo6Rh6 cuboctahedra, corners with six equivalent Rh(4)Mo6Rh6 cuboctahedra, edges with six equivalent Mo(2)Mo6Rh6 cuboctahedra, edges with six equivalent Mo(3)Mo9Rh3 cuboctahedra, edges with six equivalent Rh(4)Mo6Rh6 cuboctahedra,  a faceface with one Mo(4)Mo9Pd3 cuboctahedra,  a faceface with one Rh(3)Mo6Rh6 cuboctahedra, faces with six equivalent Mo(2)Mo6Rh6 cuboctahedra, faces with six equivalent Mo(3)Mo9Rh3 cuboctahedra, and faces with six equivalent Rh(4)Mo6Rh6 cuboctahedra. All Rh(4)-Rh(4) bond lengths are 2.78 Å. There are two inequivalent Pd sites. In the first Pd site, Pd(1) is bonded to three equivalent Mo(4), three equivalent Rh(1), and six equivalent Pd(1) atoms to form PdMo3Pd6Rh3 cuboctahedra that share corners with six equivalent Mo(3)Mo9Rh3 cuboctahedra, corners with six equivalent Pd(1)Mo3Pd6Rh3 cuboctahedra, corners with six equivalent Pd(2)Pd6Rh6 cuboctahedra, edges with six equivalent Mo(4)Mo9Pd3 cuboctahedra, edges with six equivalent Rh(1)Pd6Rh6 cuboctahedra, edges with six equivalent Pd(1)Mo3Pd6Rh3 cuboctahedra,  a faceface with one Mo(3)Mo9Rh3 cuboctahedra,  a faceface with one Pd(2)Pd6Rh6 cuboctahedra, faces with six equivalent Mo(4)Mo9Pd3 cuboctahedra, faces with six equivalent Rh(1)Pd6Rh6 cuboctahedra, and faces with six equivalent Pd(1)Mo3Pd6Rh3 cuboctahedra. All Pd(1)-Pd(1) bond lengths are 2.78 Å. In the second Pd site, Pd(2) is bonded to three equivalent Rh(1), three equivalent Rh(2), and six equivalent Pd(2) atoms to form PdPd6Rh6 cuboctahedra that share corners with six equivalent Mo(1)Mo6Rh6 cuboctahedra, corners with six equivalent Pd(1)Mo3Pd6Rh3 cuboctahedra, corners with six equivalent Pd(2)Pd6Rh6 cuboctahedra, edges with six equivalent Rh(2)Mo3Pd3Rh6 cuboctahedra, edges with six equivalent Rh(1)Pd6Rh6 cuboctahedra, edges with six equivalent Pd(2)Pd6Rh6 cuboctahedra,  a faceface with one Mo(1)Mo6Rh6 cuboctahedra,  a faceface with one Pd(1)Mo3Pd6Rh3 cuboctahedra, faces with six equivalent Rh(2)Mo3Pd3Rh6 cuboctahedra, faces with six equivalent Rh(1)Pd6Rh6 cuboctahedra, and faces with six equivalent Pd(2)Pd6Rh6 cuboctahedra. All Pd(2)-Pd(2) bond lengths are 2.78 Å.