MgCr2(AgO4)2 crystallizes in the orthorhombic Amm2 space group. Mg(1) is bonded to two equivalent O(1) and two equivalent O(3) atoms to form distorted MgO4 tetrahedra that share corners with six equivalent Ag(1)O6 octahedra, corners with two equivalent Cr(2)O4 tetrahedra, and  an edgeedge with one Cr(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 66-69°. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to two equivalent O(1) and two equivalent O(4) atoms to form CrO4 tetrahedra that share corners with six equivalent Ag(1)O6 octahedra and  an edgeedge with one Mg(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 44-52°. In the second Cr site, Cr(2) is bonded to two equivalent O(2) and two equivalent O(3) atoms to form CrO4 tetrahedra that share corners with six equivalent Ag(1)O6 octahedra and corners with two equivalent Mg(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 47-55°. Ag(1) is bonded to one O(3), one O(4), two equivalent O(1), and two equivalent O(2) atoms to form AgO6 octahedra that share corners with three equivalent Mg(1)O4 tetrahedra, corners with three equivalent Cr(1)O4 tetrahedra, corners with three equivalent Cr(2)O4 tetrahedra, and edges with two equivalent Ag(1)O6 octahedra. There are four inequivalent O sites. In the first O site, O(1) is bonded in a 4-coordinate geometry to one Mg(1), one Cr(1), and two equivalent Ag(1) atoms. In the second O site, O(2) is bonded in a distorted single-bond geometry to one Cr(2) and two equivalent Ag(1) atoms. In the third O site, O(3) is bonded in a trigonal planar geometry to one Mg(1), one Cr(2), and one Ag(1) atom. In the fourth O site, O(4) is bonded in a 2-coordinate geometry to one Cr(1) and one Ag(1) atom.
MgCr2(AgO4)2 crystallizes in the orthorhombic Amm2 space group. Mg(1) is bonded to two equivalent O(1) and two equivalent O(3) atoms to form distorted MgO4 tetrahedra that share corners with six equivalent Ag(1)O6 octahedra, corners with two equivalent Cr(2)O4 tetrahedra, and  an edgeedge with one Cr(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 66-69°. Both Mg(1)-O(1) bond lengths are 2.09 Å. Both Mg(1)-O(3) bond lengths are 1.98 Å. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to two equivalent O(1) and two equivalent O(4) atoms to form CrO4 tetrahedra that share corners with six equivalent Ag(1)O6 octahedra and  an edgeedge with one Mg(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 44-52°. Both Cr(1)-O(1) bond lengths are 1.72 Å. Both Cr(1)-O(4) bond lengths are 1.64 Å. In the second Cr site, Cr(2) is bonded to two equivalent O(2) and two equivalent O(3) atoms to form CrO4 tetrahedra that share corners with six equivalent Ag(1)O6 octahedra and corners with two equivalent Mg(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 47-55°. Both Cr(2)-O(2) bond lengths are 1.65 Å. Both Cr(2)-O(3) bond lengths are 1.72 Å. Ag(1) is bonded to one O(3), one O(4), two equivalent O(1), and two equivalent O(2) atoms to form AgO6 octahedra that share corners with three equivalent Mg(1)O4 tetrahedra, corners with three equivalent Cr(1)O4 tetrahedra, corners with three equivalent Cr(2)O4 tetrahedra, and edges with two equivalent Ag(1)O6 octahedra. The Ag(1)-O(3) bond length is 2.36 Å. The Ag(1)-O(4) bond length is 2.32 Å. Both Ag(1)-O(1) bond lengths are 2.53 Å. Both Ag(1)-O(2) bond lengths are 2.43 Å. There are four inequivalent O sites. In the first O site, O(1) is bonded in a 4-coordinate geometry to one Mg(1), one Cr(1), and two equivalent Ag(1) atoms. In the second O site, O(2) is bonded in a distorted single-bond geometry to one Cr(2) and two equivalent Ag(1) atoms. In the third O site, O(3) is bonded in a trigonal planar geometry to one Mg(1), one Cr(2), and one Ag(1) atom. In the fourth O site, O(4) is bonded in a 2-coordinate geometry to one Cr(1) and one Ag(1) atom.