BaHo(CoO3)2 crystallizes in the tetragonal P4/mmm space group. Ba(1) is bonded to four equivalent O(2) and eight equivalent O(3) atoms to form BaO12 cuboctahedra that share corners with four equivalent Ba(1)O12 cuboctahedra, corners with eight equivalent Ho(1)O12 cuboctahedra, faces with two equivalent Ho(1)O12 cuboctahedra, faces with four equivalent Ba(1)O12 cuboctahedra, and faces with eight equivalent Co(1)O6 octahedra. Ho(1) is bonded to four equivalent O(1) and eight equivalent O(3) atoms to form HoO12 cuboctahedra that share corners with four equivalent Ho(1)O12 cuboctahedra, corners with eight equivalent Ba(1)O12 cuboctahedra, faces with two equivalent Ba(1)O12 cuboctahedra, faces with four equivalent Ho(1)O12 cuboctahedra, and faces with eight equivalent Co(1)O6 octahedra. Co(1) is bonded to one O(1), one O(2), and four equivalent O(3) atoms to form CoO6 octahedra that share corners with six equivalent Co(1)O6 octahedra, faces with four equivalent Ba(1)O12 cuboctahedra, and faces with four equivalent Ho(1)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-15°. There are three inequivalent O sites. In the first O site, O(1) is bonded in a distorted linear geometry to four equivalent Ho(1) and two equivalent Co(1) atoms. In the second O site, O(2) is bonded to four equivalent Ba(1) and two equivalent Co(1) atoms to form a mixture of corner and edge-sharing OBa4Co2 octahedra. The corner-sharing octahedra are not tilted. In the third O site, O(3) is bonded in a 6-coordinate geometry to two equivalent Ba(1), two equivalent Ho(1), and two equivalent Co(1) atoms.
BaHo(CoO3)2 crystallizes in the tetragonal P4/mmm space group. Ba(1) is bonded to four equivalent O(2) and eight equivalent O(3) atoms to form BaO12 cuboctahedra that share corners with four equivalent Ba(1)O12 cuboctahedra, corners with eight equivalent Ho(1)O12 cuboctahedra, faces with two equivalent Ho(1)O12 cuboctahedra, faces with four equivalent Ba(1)O12 cuboctahedra, and faces with eight equivalent Co(1)O6 octahedra. All Ba(1)-O(2) bond lengths are 2.70 Å. All Ba(1)-O(3) bond lengths are 2.97 Å. Ho(1) is bonded to four equivalent O(1) and eight equivalent O(3) atoms to form HoO12 cuboctahedra that share corners with four equivalent Ho(1)O12 cuboctahedra, corners with eight equivalent Ba(1)O12 cuboctahedra, faces with two equivalent Ba(1)O12 cuboctahedra, faces with four equivalent Ho(1)O12 cuboctahedra, and faces with eight equivalent Co(1)O6 octahedra. All Ho(1)-O(1) bond lengths are 2.70 Å. All Ho(1)-O(3) bond lengths are 2.53 Å. Co(1) is bonded to one O(1), one O(2), and four equivalent O(3) atoms to form CoO6 octahedra that share corners with six equivalent Co(1)O6 octahedra, faces with four equivalent Ba(1)O12 cuboctahedra, and faces with four equivalent Ho(1)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-15°. The Co(1)-O(1) bond length is 1.92 Å. The Co(1)-O(2) bond length is 2.01 Å. All Co(1)-O(3) bond lengths are 1.93 Å. There are three inequivalent O sites. In the first O site, O(1) is bonded in a distorted linear geometry to four equivalent Ho(1) and two equivalent Co(1) atoms. In the second O site, O(2) is bonded to four equivalent Ba(1) and two equivalent Co(1) atoms to form a mixture of corner and edge-sharing OBa4Co2 octahedra. The corner-sharing octahedra are not tilted. In the third O site, O(3) is bonded in a 6-coordinate geometry to two equivalent Ba(1), two equivalent Ho(1), and two equivalent Co(1) atoms.