BaDyCr4O12 crystallizes in the tetragonal P4/mmm space group. Ba(1) is bonded to four equivalent O(3) and eight equivalent O(1) atoms to form BaO12 cuboctahedra that share corners with four equivalent Ba(1)O12 cuboctahedra, corners with eight equivalent Dy(1)O12 cuboctahedra, and faces with eight equivalent Cr(1)O6 octahedra. Dy(1) is bonded to four equivalent O(2) and eight equivalent O(1) atoms to form DyO12 cuboctahedra that share corners with four equivalent Dy(1)O12 cuboctahedra, corners with eight equivalent Ba(1)O12 cuboctahedra, and faces with eight equivalent Cr(1)O6 octahedra. Cr(1) is bonded to one O(2), one O(3), and four equivalent O(1) atoms to form CrO6 octahedra that share corners with six equivalent Cr(1)O6 octahedra, faces with two equivalent Ba(1)O12 cuboctahedra, and faces with two equivalent Dy(1)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-10°. There are three inequivalent O sites. In the first O site, O(1) is bonded in a distorted square co-planar geometry to one Ba(1), one Dy(1), and two equivalent Cr(1) atoms. In the second O site, O(2) is bonded in a linear geometry to two equivalent Dy(1) and two equivalent Cr(1) atoms. In the third O site, O(3) is bonded in a distorted linear geometry to two equivalent Ba(1) and two equivalent Cr(1) atoms.
BaDyCr4O12 crystallizes in the tetragonal P4/mmm space group. Ba(1) is bonded to four equivalent O(3) and eight equivalent O(1) atoms to form BaO12 cuboctahedra that share corners with four equivalent Ba(1)O12 cuboctahedra, corners with eight equivalent Dy(1)O12 cuboctahedra, and faces with eight equivalent Cr(1)O6 octahedra. All Ba(1)-O(3) bond lengths are 2.74 Å. All Ba(1)-O(1) bond lengths are 2.86 Å. Dy(1) is bonded to four equivalent O(2) and eight equivalent O(1) atoms to form DyO12 cuboctahedra that share corners with four equivalent Dy(1)O12 cuboctahedra, corners with eight equivalent Ba(1)O12 cuboctahedra, and faces with eight equivalent Cr(1)O6 octahedra. All Dy(1)-O(2) bond lengths are 2.74 Å. All Dy(1)-O(1) bond lengths are 2.51 Å. Cr(1) is bonded to one O(2), one O(3), and four equivalent O(1) atoms to form CrO6 octahedra that share corners with six equivalent Cr(1)O6 octahedra, faces with two equivalent Ba(1)O12 cuboctahedra, and faces with two equivalent Dy(1)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-10°. The Cr(1)-O(2) bond length is 1.85 Å. The Cr(1)-O(3) bond length is 1.87 Å. All Cr(1)-O(1) bond lengths are 1.94 Å. There are three inequivalent O sites. In the first O site, O(1) is bonded in a distorted square co-planar geometry to one Ba(1), one Dy(1), and two equivalent Cr(1) atoms. In the second O site, O(2) is bonded in a linear geometry to two equivalent Dy(1) and two equivalent Cr(1) atoms. In the third O site, O(3) is bonded in a distorted linear geometry to two equivalent Ba(1) and two equivalent Cr(1) atoms.