Ho2Rh12As7 crystallizes in the trigonal P-3 space group. Ho(1) is bonded to six equivalent Rh(1) and six equivalent As(2) atoms to form distorted HoAs6Rh6 cuboctahedra that share corners with twelve equivalent Rh(2)As4 tetrahedra, edges with three equivalent Rh(2)As4 tetrahedra, and faces with two equivalent Ho(1)As6Rh6 cuboctahedra. There are two inequivalent Rh sites. In the first Rh site, Rh(1) is bonded in a 6-coordinate geometry to two equivalent Ho(1) and four equivalent As(2) atoms. In the second Rh site, Rh(2) is bonded to one As(1) and three equivalent As(2) atoms to form distorted RhAs4 tetrahedra that share corners with four equivalent Ho(1)As6Rh6 cuboctahedra, corners with seven equivalent Rh(2)As4 tetrahedra,  an edgeedge with one Ho(1)As6Rh6 cuboctahedra, and edges with two equivalent Rh(2)As4 tetrahedra. There are two inequivalent As sites. In the first As site, As(1) is bonded in a distorted octahedral geometry to six equivalent Rh(2) atoms. In the second As site, As(2) is bonded in a 9-coordinate geometry to two equivalent Ho(1), three equivalent Rh(2), and four equivalent Rh(1) atoms.
Ho2Rh12As7 crystallizes in the trigonal P-3 space group. Ho(1) is bonded to six equivalent Rh(1) and six equivalent As(2) atoms to form distorted HoAs6Rh6 cuboctahedra that share corners with twelve equivalent Rh(2)As4 tetrahedra, edges with three equivalent Rh(2)As4 tetrahedra, and faces with two equivalent Ho(1)As6Rh6 cuboctahedra. There are three shorter (3.11 Å) and three longer (3.12 Å) Ho(1)-Rh(1) bond lengths. There are three shorter (3.07 Å) and three longer (3.09 Å) Ho(1)-As(2) bond lengths. There are two inequivalent Rh sites. In the first Rh site, Rh(1) is bonded in a 6-coordinate geometry to two equivalent Ho(1) and four equivalent As(2) atoms. There are a spread of Rh(1)-As(2) bond distances ranging from 2.39-2.60 Å. In the second Rh site, Rh(2) is bonded to one As(1) and three equivalent As(2) atoms to form distorted RhAs4 tetrahedra that share corners with four equivalent Ho(1)As6Rh6 cuboctahedra, corners with seven equivalent Rh(2)As4 tetrahedra,  an edgeedge with one Ho(1)As6Rh6 cuboctahedra, and edges with two equivalent Rh(2)As4 tetrahedra. The Rh(2)-As(1) bond length is 2.47 Å. There are a spread of Rh(2)-As(2) bond distances ranging from 2.42-2.53 Å. There are two inequivalent As sites. In the first As site, As(1) is bonded in a distorted octahedral geometry to six equivalent Rh(2) atoms. In the second As site, As(2) is bonded in a 9-coordinate geometry to two equivalent Ho(1), three equivalent Rh(2), and four equivalent Rh(1) atoms.