MgZn(ReO4)2 crystallizes in the trigonal P3 space group. Mg(1) is bonded to one O(2) and three equivalent O(3) atoms to form MgO4 tetrahedra that share corners with three equivalent Zn(1)O6 octahedra,  a cornercorner with one Re(1)O4 tetrahedra, and corners with three equivalent Re(2)O4 tetrahedra. The corner-sharing octahedral tilt angles are 61°. There are two inequivalent Re sites. In the first Re site, Re(1) is bonded to one O(2) and three equivalent O(4) atoms to form ReO4 tetrahedra that share corners with three equivalent Zn(1)O6 octahedra and  a cornercorner with one Mg(1)O4 tetrahedra. The corner-sharing octahedral tilt angles are 33°. In the second Re site, Re(2) is bonded to one O(1) and three equivalent O(3) atoms to form ReO4 tetrahedra that share corners with three equivalent Zn(1)O6 octahedra and corners with three equivalent Mg(1)O4 tetrahedra. The corner-sharing octahedral tilt angles are 49°. Zn(1) is bonded to three equivalent O(3) and three equivalent O(4) atoms to form distorted ZnO6 octahedra that share corners with three equivalent Mg(1)O4 tetrahedra, corners with three equivalent Re(1)O4 tetrahedra, and corners with three equivalent Re(2)O4 tetrahedra. There are four inequivalent O sites. In the first O site, O(1) is bonded in a single-bond geometry to one Re(2) atom. In the second O site, O(2) is bonded in a linear geometry to one Mg(1) and one Re(1) atom. In the third O site, O(3) is bonded in a trigonal planar geometry to one Mg(1), one Re(2), and one Zn(1) atom. In the fourth O site, O(4) is bonded in a bent 150 degrees geometry to one Re(1) and one Zn(1) atom.
MgZn(ReO4)2 crystallizes in the trigonal P3 space group. Mg(1) is bonded to one O(2) and three equivalent O(3) atoms to form MgO4 tetrahedra that share corners with three equivalent Zn(1)O6 octahedra,  a cornercorner with one Re(1)O4 tetrahedra, and corners with three equivalent Re(2)O4 tetrahedra. The corner-sharing octahedral tilt angles are 61°. The Mg(1)-O(2) bond length is 2.00 Å. All Mg(1)-O(3) bond lengths are 1.97 Å. There are two inequivalent Re sites. In the first Re site, Re(1) is bonded to one O(2) and three equivalent O(4) atoms to form ReO4 tetrahedra that share corners with three equivalent Zn(1)O6 octahedra and  a cornercorner with one Mg(1)O4 tetrahedra. The corner-sharing octahedral tilt angles are 33°. The Re(1)-O(2) bond length is 1.77 Å. All Re(1)-O(4) bond lengths are 1.75 Å. In the second Re site, Re(2) is bonded to one O(1) and three equivalent O(3) atoms to form ReO4 tetrahedra that share corners with three equivalent Zn(1)O6 octahedra and corners with three equivalent Mg(1)O4 tetrahedra. The corner-sharing octahedral tilt angles are 49°. The Re(2)-O(1) bond length is 1.73 Å. All Re(2)-O(3) bond lengths are 1.92 Å. Zn(1) is bonded to three equivalent O(3) and three equivalent O(4) atoms to form distorted ZnO6 octahedra that share corners with three equivalent Mg(1)O4 tetrahedra, corners with three equivalent Re(1)O4 tetrahedra, and corners with three equivalent Re(2)O4 tetrahedra. All Zn(1)-O(3) bond lengths are 2.08 Å. All Zn(1)-O(4) bond lengths are 2.24 Å. There are four inequivalent O sites. In the first O site, O(1) is bonded in a single-bond geometry to one Re(2) atom. In the second O site, O(2) is bonded in a linear geometry to one Mg(1) and one Re(1) atom. In the third O site, O(3) is bonded in a trigonal planar geometry to one Mg(1), one Re(2), and one Zn(1) atom. In the fourth O site, O(4) is bonded in a bent 150 degrees geometry to one Re(1) and one Zn(1) atom.