MgSc2(AgO3)2 crystallizes in the orthorhombic Amm2 space group. Mg(1) is bonded to two equivalent O(2) and two equivalent O(3) atoms to form corner-sharing MgO4 tetrahedra. Sc(1) is bonded in a 5-coordinate geometry to one O(3), one O(4), two equivalent O(1), and two equivalent O(2) atoms. There are two inequivalent Ag sites. In the first Ag site, Ag(1) is bonded in a rectangular see-saw-like geometry to two equivalent O(1) and two equivalent O(2) atoms. In the second Ag site, Ag(2) is bonded in a rectangular see-saw-like geometry to two equivalent O(3) and two equivalent O(4) atoms. There are four inequivalent O sites. In the first O site, O(1) is bonded in a trigonal planar geometry to two equivalent Sc(1) and one Ag(1) atom. In the second O site, O(2) is bonded to one Mg(1), two equivalent Sc(1), and one Ag(1) atom to form OMgSc2Ag trigonal pyramids that share corners with two equivalent O(4)Sc2Ag2 tetrahedra, corners with two equivalent O(2)MgSc2Ag trigonal pyramids, and  an edgeedge with one O(2)MgSc2Ag trigonal pyramid. In the third O site, O(3) is bonded in a 6-coordinate geometry to two equivalent Mg(1), two equivalent Sc(1), and two equivalent Ag(2) atoms. In the fourth O site, O(4) is bonded to two equivalent Sc(1) and two equivalent Ag(2) atoms to form OSc2Ag2 tetrahedra that share corners with two equivalent O(4)Sc2Ag2 tetrahedra and corners with four equivalent O(2)MgSc2Ag trigonal pyramids.
MgSc2(AgO3)2 crystallizes in the orthorhombic Amm2 space group. Mg(1) is bonded to two equivalent O(2) and two equivalent O(3) atoms to form corner-sharing MgO4 tetrahedra. Both Mg(1)-O(2) bond lengths are 1.95 Å. Both Mg(1)-O(3) bond lengths are 1.93 Å. Sc(1) is bonded in a 5-coordinate geometry to one O(3), one O(4), two equivalent O(1), and two equivalent O(2) atoms. The Sc(1)-O(3) bond length is 2.84 Å. The Sc(1)-O(4) bond length is 2.03 Å. Both Sc(1)-O(1) bond lengths are 2.06 Å. Both Sc(1)-O(2) bond lengths are 2.19 Å. There are two inequivalent Ag sites. In the first Ag site, Ag(1) is bonded in a rectangular see-saw-like geometry to two equivalent O(1) and two equivalent O(2) atoms. Both Ag(1)-O(1) bond lengths are 2.11 Å. Both Ag(1)-O(2) bond lengths are 2.22 Å. In the second Ag site, Ag(2) is bonded in a rectangular see-saw-like geometry to two equivalent O(3) and two equivalent O(4) atoms. Both Ag(2)-O(3) bond lengths are 2.34 Å. Both Ag(2)-O(4) bond lengths are 2.21 Å. There are four inequivalent O sites. In the first O site, O(1) is bonded in a trigonal planar geometry to two equivalent Sc(1) and one Ag(1) atom. In the second O site, O(2) is bonded to one Mg(1), two equivalent Sc(1), and one Ag(1) atom to form OMgSc2Ag trigonal pyramids that share corners with two equivalent O(4)Sc2Ag2 tetrahedra, corners with two equivalent O(2)MgSc2Ag trigonal pyramids, and  an edgeedge with one O(2)MgSc2Ag trigonal pyramid. In the third O site, O(3) is bonded in a 6-coordinate geometry to two equivalent Mg(1), two equivalent Sc(1), and two equivalent Ag(2) atoms. In the fourth O site, O(4) is bonded to two equivalent Sc(1) and two equivalent Ag(2) atoms to form OSc2Ag2 tetrahedra that share corners with two equivalent O(4)Sc2Ag2 tetrahedra and corners with four equivalent O(2)MgSc2Ag trigonal pyramids.