Sc5Rh15B crystallizes in the tetragonal P4/mmm space group. There are three inequivalent Sc sites. In the first Sc site, Sc(1) is bonded to four equivalent Rh(1), four equivalent Rh(4), and four equivalent Rh(5) atoms to form ScRh12 cuboctahedra that share corners with four equivalent Sc(2)Rh12 cuboctahedra, corners with eight equivalent Sc(1)Rh12 cuboctahedra, edges with four equivalent Rh(2)Sc4Rh8 cuboctahedra,  a faceface with one Sc(2)Rh12 cuboctahedra, faces with five equivalent Sc(1)Rh12 cuboctahedra, and faces with four equivalent B(1)Rh6 octahedra. In the second Sc site, Sc(2) is bonded to four equivalent Rh(2), four equivalent Rh(5), and four equivalent Rh(6) atoms to form ScRh12 cuboctahedra that share corners with four equivalent Sc(1)Rh12 cuboctahedra, corners with four equivalent Sc(2)Rh12 cuboctahedra, corners with four equivalent Sc(3)Rh12 cuboctahedra, edges with four equivalent Rh(3)Sc4Rh8 cuboctahedra,  a faceface with one Sc(1)Rh12 cuboctahedra,  a faceface with one Sc(3)Rh12 cuboctahedra, faces with four equivalent Sc(2)Rh12 cuboctahedra, and faces with four equivalent Rh(2)Sc4Rh8 cuboctahedra. In the third Sc site, Sc(3) is bonded to four equivalent Rh(3) and eight equivalent Rh(6) atoms to form ScRh12 cuboctahedra that share corners with four equivalent Sc(3)Rh12 cuboctahedra, corners with eight equivalent Sc(2)Rh12 cuboctahedra, edges with eight equivalent Rh(2)Sc4Rh8 cuboctahedra, faces with two equivalent Sc(2)Rh12 cuboctahedra, faces with four equivalent Sc(3)Rh12 cuboctahedra, and faces with four equivalent Rh(3)Sc4Rh8 cuboctahedra. There are six inequivalent Rh sites. In the first Rh site, Rh(1) is bonded in a 5-coordinate geometry to four equivalent Sc(1) and one B(1) atom. In the second Rh site, Rh(2) is bonded to four equivalent Sc(2), four equivalent Rh(5), and four equivalent Rh(6) atoms to form distorted RhSc4Rh8 cuboctahedra that share corners with four equivalent Rh(2)Sc4Rh8 cuboctahedra, corners with four equivalent Rh(3)Sc4Rh8 cuboctahedra, edges with four equivalent Sc(1)Rh12 cuboctahedra, edges with four equivalent Sc(3)Rh12 cuboctahedra,  a faceface with one Rh(3)Sc4Rh8 cuboctahedra, faces with four equivalent Sc(2)Rh12 cuboctahedra, and faces with four equivalent Rh(2)Sc4Rh8 cuboctahedra. In the third Rh site, Rh(3) is bonded to four equivalent Sc(3) and eight equivalent Rh(6) atoms to form distorted RhSc4Rh8 cuboctahedra that share corners with four equivalent Rh(3)Sc4Rh8 cuboctahedra, corners with eight equivalent Rh(2)Sc4Rh8 cuboctahedra, edges with eight equivalent Sc(2)Rh12 cuboctahedra, faces with two equivalent Rh(2)Sc4Rh8 cuboctahedra, faces with four equivalent Sc(3)Rh12 cuboctahedra, and faces with four equivalent Rh(3)Sc4Rh8 cuboctahedra. In the fourth Rh site, Rh(4) is bonded to four equivalent Sc(1) and two equivalent B(1) atoms to form a mixture of distorted corner, edge, and face-sharing RhSc4B2 octahedra. The corner-sharing octahedra are not tilted. In the fifth Rh site, Rh(5) is bonded in a distorted square co-planar geometry to two equivalent Sc(1), two equivalent Sc(2), and two equivalent Rh(2) atoms. In the sixth Rh site, Rh(6) is bonded in a distorted square co-planar geometry to two equivalent Sc(2), two equivalent Sc(3), two equivalent Rh(2), and two equivalent Rh(3) atoms. B(1) is bonded to two equivalent Rh(1) and four equivalent Rh(4) atoms to form BRh6 octahedra that share corners with four equivalent B(1)Rh6 octahedra and faces with eight equivalent Sc(1)Rh12 cuboctahedra. The corner-sharing octahedra are not tilted.
Sc5Rh15B crystallizes in the tetragonal P4/mmm space group. There are three inequivalent Sc sites. In the first Sc site, Sc(1) is bonded to four equivalent Rh(1), four equivalent Rh(4), and four equivalent Rh(5) atoms to form ScRh12 cuboctahedra that share corners with four equivalent Sc(2)Rh12 cuboctahedra, corners with eight equivalent Sc(1)Rh12 cuboctahedra, edges with four equivalent Rh(2)Sc4Rh8 cuboctahedra,  a faceface with one Sc(2)Rh12 cuboctahedra, faces with five equivalent Sc(1)Rh12 cuboctahedra, and faces with four equivalent B(1)Rh6 octahedra. All Sc(1)-Rh(1) bond lengths are 2.85 Å. All Sc(1)-Rh(4) bond lengths are 2.86 Å. All Sc(1)-Rh(5) bond lengths are 2.80 Å. In the second Sc site, Sc(2) is bonded to four equivalent Rh(2), four equivalent Rh(5), and four equivalent Rh(6) atoms to form ScRh12 cuboctahedra that share corners with four equivalent Sc(1)Rh12 cuboctahedra, corners with four equivalent Sc(2)Rh12 cuboctahedra, corners with four equivalent Sc(3)Rh12 cuboctahedra, edges with four equivalent Rh(3)Sc4Rh8 cuboctahedra,  a faceface with one Sc(1)Rh12 cuboctahedra,  a faceface with one Sc(3)Rh12 cuboctahedra, faces with four equivalent Sc(2)Rh12 cuboctahedra, and faces with four equivalent Rh(2)Sc4Rh8 cuboctahedra. All Sc(2)-Rh(2) bond lengths are 2.85 Å. All Sc(2)-Rh(5) bond lengths are 2.77 Å. All Sc(2)-Rh(6) bond lengths are 2.81 Å. In the third Sc site, Sc(3) is bonded to four equivalent Rh(3) and eight equivalent Rh(6) atoms to form ScRh12 cuboctahedra that share corners with four equivalent Sc(3)Rh12 cuboctahedra, corners with eight equivalent Sc(2)Rh12 cuboctahedra, edges with eight equivalent Rh(2)Sc4Rh8 cuboctahedra, faces with two equivalent Sc(2)Rh12 cuboctahedra, faces with four equivalent Sc(3)Rh12 cuboctahedra, and faces with four equivalent Rh(3)Sc4Rh8 cuboctahedra. All Sc(3)-Rh(3) bond lengths are 2.85 Å. All Sc(3)-Rh(6) bond lengths are 2.79 Å. There are six inequivalent Rh sites. In the first Rh site, Rh(1) is bonded in a 5-coordinate geometry to four equivalent Sc(1) and one B(1) atom. The Rh(1)-B(1) bond length is 2.10 Å. In the second Rh site, Rh(2) is bonded to four equivalent Sc(2), four equivalent Rh(5), and four equivalent Rh(6) atoms to form distorted RhSc4Rh8 cuboctahedra that share corners with four equivalent Rh(2)Sc4Rh8 cuboctahedra, corners with four equivalent Rh(3)Sc4Rh8 cuboctahedra, edges with four equivalent Sc(1)Rh12 cuboctahedra, edges with four equivalent Sc(3)Rh12 cuboctahedra,  a faceface with one Rh(3)Sc4Rh8 cuboctahedra, faces with four equivalent Sc(2)Rh12 cuboctahedra, and faces with four equivalent Rh(2)Sc4Rh8 cuboctahedra. All Rh(2)-Rh(5) bond lengths are 2.81 Å. All Rh(2)-Rh(6) bond lengths are 2.77 Å. In the third Rh site, Rh(3) is bonded to four equivalent Sc(3) and eight equivalent Rh(6) atoms to form distorted RhSc4Rh8 cuboctahedra that share corners with four equivalent Rh(3)Sc4Rh8 cuboctahedra, corners with eight equivalent Rh(2)Sc4Rh8 cuboctahedra, edges with eight equivalent Sc(2)Rh12 cuboctahedra, faces with two equivalent Rh(2)Sc4Rh8 cuboctahedra, faces with four equivalent Sc(3)Rh12 cuboctahedra, and faces with four equivalent Rh(3)Sc4Rh8 cuboctahedra. All Rh(3)-Rh(6) bond lengths are 2.79 Å. In the fourth Rh site, Rh(4) is bonded to four equivalent Sc(1) and two equivalent B(1) atoms to form a mixture of distorted corner, edge, and face-sharing RhSc4B2 octahedra. The corner-sharing octahedra are not tilted. Both Rh(4)-B(1) bond lengths are 2.01 Å. In the fifth Rh site, Rh(5) is bonded in a distorted square co-planar geometry to two equivalent Sc(1), two equivalent Sc(2), and two equivalent Rh(2) atoms. In the sixth Rh site, Rh(6) is bonded in a distorted square co-planar geometry to two equivalent Sc(2), two equivalent Sc(3), two equivalent Rh(2), and two equivalent Rh(3) atoms. B(1) is bonded to two equivalent Rh(1) and four equivalent Rh(4) atoms to form BRh6 octahedra that share corners with four equivalent B(1)Rh6 octahedra and faces with eight equivalent Sc(1)Rh12 cuboctahedra. The corner-sharing octahedra are not tilted.