MgDyMn2O4 crystallizes in the monoclinic Cm space group. Mg(1) is bonded to three equivalent O(1) and three equivalent O(4) atoms to form distorted MgO6 octahedra that share corners with three equivalent Dy(1)O6 octahedra, edges with three equivalent Dy(1)O6 octahedra, and edges with six equivalent Mg(1)O6 octahedra. The corner-sharing octahedral tilt angles are 6°. Dy(1) is bonded to three equivalent O(1) and three equivalent O(2) atoms to form DyO6 octahedra that share corners with three equivalent Mg(1)O6 octahedra, corners with three equivalent Mn(2)O4 tetrahedra, edges with three equivalent Mg(1)O6 octahedra, and edges with six equivalent Dy(1)O6 octahedra. The corner-sharing octahedral tilt angles are 6°. There are two inequivalent Mn sites. In the first Mn site, Mn(1) is bonded in a distorted rectangular see-saw-like geometry to one O(3) and three equivalent O(4) atoms. In the second Mn site, Mn(2) is bonded to one O(2) and three equivalent O(3) atoms to form MnO4 tetrahedra that share corners with three equivalent Dy(1)O6 octahedra and corners with six equivalent Mn(2)O4 tetrahedra. The corner-sharing octahedral tilt angles are 61°. There are four inequivalent O sites. In the first O site, O(1) is bonded to three equivalent Mg(1) and three equivalent Dy(1) atoms to form ODy3Mg3 octahedra that share corners with three equivalent O(4)Mg3Mn3 octahedra, corners with three equivalent O(2)Dy3Mn tetrahedra, edges with three equivalent O(4)Mg3Mn3 octahedra, edges with six equivalent O(1)Dy3Mg3 octahedra, and edges with three equivalent O(2)Dy3Mn tetrahedra. The corner-sharing octahedral tilt angles are 17°. In the second O site, O(2) is bonded to three equivalent Dy(1) and one Mn(2) atom to form ODy3Mn tetrahedra that share corners with three equivalent O(1)Dy3Mg3 octahedra, corners with three equivalent O(3)Mn4 tetrahedra, corners with six equivalent O(2)Dy3Mn tetrahedra, and edges with three equivalent O(1)Dy3Mg3 octahedra. The corner-sharing octahedral tilt angles are 4°. In the third O site, O(3) is bonded to one Mn(1) and three equivalent Mn(2) atoms to form OMn4 tetrahedra that share corners with three equivalent O(4)Mg3Mn3 octahedra, corners with three equivalent O(2)Dy3Mn tetrahedra, and corners with six equivalent O(3)Mn4 tetrahedra. The corner-sharing octahedral tilt angles are 50°. In the fourth O site, O(4) is bonded to three equivalent Mg(1) and three equivalent Mn(1) atoms to form distorted OMg3Mn3 octahedra that share corners with three equivalent O(1)Dy3Mg3 octahedra, corners with three equivalent O(3)Mn4 tetrahedra, edges with three equivalent O(1)Dy3Mg3 octahedra, and edges with six equivalent O(4)Mg3Mn3 octahedra. The corner-sharing octahedral tilt angles are 17°.
MgDyMn2O4 crystallizes in the monoclinic Cm space group. Mg(1) is bonded to three equivalent O(1) and three equivalent O(4) atoms to form distorted MgO6 octahedra that share corners with three equivalent Dy(1)O6 octahedra, edges with three equivalent Dy(1)O6 octahedra, and edges with six equivalent Mg(1)O6 octahedra. The corner-sharing octahedral tilt angles are 6°. There are two shorter (2.51 Å) and one longer (2.52 Å) Mg(1)-O(1) bond length. All Mg(1)-O(4) bond lengths are 2.11 Å. Dy(1) is bonded to three equivalent O(1) and three equivalent O(2) atoms to form DyO6 octahedra that share corners with three equivalent Mg(1)O6 octahedra, corners with three equivalent Mn(2)O4 tetrahedra, edges with three equivalent Mg(1)O6 octahedra, and edges with six equivalent Dy(1)O6 octahedra. The corner-sharing octahedral tilt angles are 6°. All Dy(1)-O(1) bond lengths are 2.33 Å. All Dy(1)-O(2) bond lengths are 2.23 Å. There are two inequivalent Mn sites. In the first Mn site, Mn(1) is bonded in a distorted rectangular see-saw-like geometry to one O(3) and three equivalent O(4) atoms. The Mn(1)-O(3) bond length is 2.06 Å. There is one shorter (2.54 Å) and two longer (2.55 Å) Mn(1)-O(4) bond lengths. In the second Mn site, Mn(2) is bonded to one O(2) and three equivalent O(3) atoms to form MnO4 tetrahedra that share corners with three equivalent Dy(1)O6 octahedra and corners with six equivalent Mn(2)O4 tetrahedra. The corner-sharing octahedral tilt angles are 61°. The Mn(2)-O(2) bond length is 2.14 Å. All Mn(2)-O(3) bond lengths are 2.05 Å. There are four inequivalent O sites. In the first O site, O(1) is bonded to three equivalent Mg(1) and three equivalent Dy(1) atoms to form ODy3Mg3 octahedra that share corners with three equivalent O(4)Mg3Mn3 octahedra, corners with three equivalent O(2)Dy3Mn tetrahedra, edges with three equivalent O(4)Mg3Mn3 octahedra, edges with six equivalent O(1)Dy3Mg3 octahedra, and edges with three equivalent O(2)Dy3Mn tetrahedra. The corner-sharing octahedral tilt angles are 17°. In the second O site, O(2) is bonded to three equivalent Dy(1) and one Mn(2) atom to form ODy3Mn tetrahedra that share corners with three equivalent O(1)Dy3Mg3 octahedra, corners with three equivalent O(3)Mn4 tetrahedra, corners with six equivalent O(2)Dy3Mn tetrahedra, and edges with three equivalent O(1)Dy3Mg3 octahedra. The corner-sharing octahedral tilt angles are 4°. In the third O site, O(3) is bonded to one Mn(1) and three equivalent Mn(2) atoms to form OMn4 tetrahedra that share corners with three equivalent O(4)Mg3Mn3 octahedra, corners with three equivalent O(2)Dy3Mn tetrahedra, and corners with six equivalent O(3)Mn4 tetrahedra. The corner-sharing octahedral tilt angles are 50°. In the fourth O site, O(4) is bonded to three equivalent Mg(1) and three equivalent Mn(1) atoms to form distorted OMg3Mn3 octahedra that share corners with three equivalent O(1)Dy3Mg3 octahedra, corners with three equivalent O(3)Mn4 tetrahedra, edges with three equivalent O(1)Dy3Mg3 octahedra, and edges with six equivalent O(4)Mg3Mn3 octahedra. The corner-sharing octahedral tilt angles are 17°.