BaDy(FeO3)4 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 Fe(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 Fe(1)O6 octahedra. Fe(1) is bonded to one O(2), one O(3), and four equivalent O(1) atoms to form FeO6 octahedra that share corners with six equivalent Fe(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 4-coordinate geometry to one Ba(1), one Dy(1), and two equivalent Fe(1) atoms. In the second O site, O(2) is bonded in a distorted linear geometry to two equivalent Dy(1) and two equivalent Fe(1) atoms. In the third O site, O(3) is bonded in a distorted square co-planar geometry to two equivalent Ba(1) and two equivalent Fe(1) atoms.
BaDy(FeO3)4 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 Fe(1)O6 octahedra. All Ba(1)-O(3) bond lengths are 2.73 Å. All Ba(1)-O(1) bond lengths are 2.90 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 Fe(1)O6 octahedra. All Dy(1)-O(2) bond lengths are 2.73 Å. All Dy(1)-O(1) bond lengths are 2.54 Å. Fe(1) is bonded to one O(2), one O(3), and four equivalent O(1) atoms to form FeO6 octahedra that share corners with six equivalent Fe(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 Fe(1)-O(2) bond length is 1.90 Å. The Fe(1)-O(3) bond length is 1.92 Å. All Fe(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 4-coordinate geometry to one Ba(1), one Dy(1), and two equivalent Fe(1) atoms. In the second O site, O(2) is bonded in a distorted linear geometry to two equivalent Dy(1) and two equivalent Fe(1) atoms. In the third O site, O(3) is bonded in a distorted square co-planar geometry to two equivalent Ba(1) and two equivalent Fe(1) atoms.