Mg(Ag3O4)2 crystallizes in the triclinic P1 space group. Mg(1) is bonded in a 4-coordinate geometry to one O(1), one O(5), and two equivalent O(4) atoms. There are six inequivalent Ag sites. In the first Ag site, Ag(1) is bonded in a rectangular see-saw-like geometry to one O(1), one O(4), one O(5), and one O(8) atom. In the second Ag site, Ag(2) is bonded in a rectangular see-saw-like geometry to one O(2), one O(3), one O(6), and one O(7) atom. In the third Ag site, Ag(3) is bonded in a rectangular see-saw-like geometry to one O(2), one O(3), one O(5), and one O(8) atom. In the fourth Ag site, Ag(4) is bonded in a distorted square co-planar geometry to one O(1), one O(4), one O(6), and one O(7) atom. In the fifth Ag site, Ag(5) is bonded in a distorted rectangular see-saw-like geometry to one O(1), one O(3), one O(6), and one O(7) atom. In the sixth Ag site, Ag(6) is bonded in a 5-coordinate geometry to one O(2), one O(4), one O(5), and two equivalent O(8) atoms. There are eight inequivalent O sites. In the first O site, O(1) is bonded in a distorted see-saw-like geometry to one Mg(1), one Ag(1), one Ag(4), and one Ag(5) atom. In the second O site, O(2) is bonded in a trigonal non-coplanar geometry to one Ag(2), one Ag(3), and one Ag(6) atom. In the third O site, O(3) is bonded in a trigonal non-coplanar geometry to one Ag(2), one Ag(3), and one Ag(5) atom. In the fourth O site, O(4) is bonded to two equivalent Mg(1), one Ag(1), one Ag(4), and one Ag(6) atom to form distorted OMg2Ag3 trigonal bipyramids that share corners with two equivalent O(5)MgAg3 tetrahedra, corners with two equivalent O(4)Mg2Ag3 trigonal bipyramids, and  an edgeedge with one O(5)MgAg3 tetrahedra. In the fifth O site, O(5) is bonded to one Mg(1), one Ag(1), one Ag(3), and one Ag(6) atom to form a mixture of distorted edge and corner-sharing OMgAg3 tetrahedra. In the sixth O site, O(6) is bonded in a distorted trigonal non-coplanar geometry to one Ag(2), one Ag(4), and one Ag(5) atom. In the seventh O site, O(7) is bonded in a distorted trigonal non-coplanar geometry to one Ag(2), one Ag(4), and one Ag(5) atom. In the eighth O site, O(8) is bonded in a 4-coordinate geometry to one Ag(1), one Ag(3), and two equivalent Ag(6) atoms.
Mg(Ag3O4)2 crystallizes in the triclinic P1 space group. Mg(1) is bonded in a 4-coordinate geometry to one O(1), one O(5), and two equivalent O(4) atoms. The Mg(1)-O(1) bond length is 2.05 Å. The Mg(1)-O(5) bond length is 2.00 Å. There is one shorter (2.08 Å) and one longer (2.09 Å) Mg(1)-O(4) bond length. There are six inequivalent Ag sites. In the first Ag site, Ag(1) is bonded in a rectangular see-saw-like geometry to one O(1), one O(4), one O(5), and one O(8) atom. The Ag(1)-O(1) bond length is 2.35 Å. The Ag(1)-O(4) bond length is 2.31 Å. The Ag(1)-O(5) bond length is 2.33 Å. The Ag(1)-O(8) bond length is 2.33 Å. In the second Ag site, Ag(2) is bonded in a rectangular see-saw-like geometry to one O(2), one O(3), one O(6), and one O(7) atom. The Ag(2)-O(2) bond length is 2.04 Å. The Ag(2)-O(3) bond length is 2.09 Å. The Ag(2)-O(6) bond length is 2.06 Å. The Ag(2)-O(7) bond length is 2.11 Å. In the third Ag site, Ag(3) is bonded in a rectangular see-saw-like geometry to one O(2), one O(3), one O(5), and one O(8) atom. The Ag(3)-O(2) bond length is 2.08 Å. The Ag(3)-O(3) bond length is 2.08 Å. The Ag(3)-O(5) bond length is 2.08 Å. The Ag(3)-O(8) bond length is 2.06 Å. In the fourth Ag site, Ag(4) is bonded in a distorted square co-planar geometry to one O(1), one O(4), one O(6), and one O(7) atom. The Ag(4)-O(1) bond length is 2.13 Å. The Ag(4)-O(4) bond length is 2.16 Å. The Ag(4)-O(6) bond length is 2.15 Å. The Ag(4)-O(7) bond length is 2.11 Å. In the fifth Ag site, Ag(5) is bonded in a distorted rectangular see-saw-like geometry to one O(1), one O(3), one O(6), and one O(7) atom. The Ag(5)-O(1) bond length is 2.15 Å. The Ag(5)-O(3) bond length is 2.09 Å. The Ag(5)-O(6) bond length is 2.08 Å. The Ag(5)-O(7) bond length is 2.10 Å. In the sixth Ag site, Ag(6) is bonded in a 5-coordinate geometry to one O(2), one O(4), one O(5), and two equivalent O(8) atoms. The Ag(6)-O(2) bond length is 2.14 Å. The Ag(6)-O(4) bond length is 2.32 Å. The Ag(6)-O(5) bond length is 2.17 Å. There is one shorter (2.13 Å) and one longer (2.51 Å) Ag(6)-O(8) bond length. There are eight inequivalent O sites. In the first O site, O(1) is bonded in a distorted see-saw-like geometry to one Mg(1), one Ag(1), one Ag(4), and one Ag(5) atom. In the second O site, O(2) is bonded in a trigonal non-coplanar geometry to one Ag(2), one Ag(3), and one Ag(6) atom. In the third O site, O(3) is bonded in a trigonal non-coplanar geometry to one Ag(2), one Ag(3), and one Ag(5) atom. In the fourth O site, O(4) is bonded to two equivalent Mg(1), one Ag(1), one Ag(4), and one Ag(6) atom to form distorted OMg2Ag3 trigonal bipyramids that share corners with two equivalent O(5)MgAg3 tetrahedra, corners with two equivalent O(4)Mg2Ag3 trigonal bipyramids, and  an edgeedge with one O(5)MgAg3 tetrahedra. In the fifth O site, O(5) is bonded to one Mg(1), one Ag(1), one Ag(3), and one Ag(6) atom to form a mixture of distorted edge and corner-sharing OMgAg3 tetrahedra. In the sixth O site, O(6) is bonded in a distorted trigonal non-coplanar geometry to one Ag(2), one Ag(4), and one Ag(5) atom. In the seventh O site, O(7) is bonded in a distorted trigonal non-coplanar geometry to one Ag(2), one Ag(4), and one Ag(5) atom. In the eighth O site, O(8) is bonded in a 4-coordinate geometry to one Ag(1), one Ag(3), and two equivalent Ag(6) atoms.