MgAgCu2(SO5)2 crystallizes in the triclinic P1 space group. Mg(1) is bonded to one O(10), one O(4), one O(5), one O(6), and one O(9) atom to form distorted MgO5 trigonal bipyramids that share  a cornercorner with one S(2)O4 tetrahedra and corners with two equivalent S(1)O4 tetrahedra. Ag(1) is bonded in a rectangular see-saw-like geometry to one O(1), one O(2), one O(7), and one O(8) atom. There are two inequivalent Cu sites. In the first Cu site, Cu(1) is bonded in a rectangular see-saw-like geometry to one O(10), one O(6), one O(8), and one O(9) atom. In the second Cu site, Cu(2) is bonded in a rectangular see-saw-like geometry to one O(10), one O(5), one O(7), and one O(9) atom. There are two inequivalent S sites. In the first S site, S(1) is bonded to one O(1), one O(3), one O(5), and one O(6) atom to form SO4 tetrahedra that share corners with two equivalent Mg(1)O5 trigonal bipyramids. In the second S site, S(2) is bonded to one O(2), one O(4), one O(7), and one O(8) atom to form SO4 tetrahedra that share  a cornercorner with one Mg(1)O5 trigonal bipyramid. There are ten inequivalent O sites. In the first O site, O(1) is bonded in a bent 120 degrees geometry to one Ag(1) and one S(1) atom. In the second O site, O(2) is bonded in a bent 120 degrees geometry to one Ag(1) and one S(2) atom. In the third O site, O(3) is bonded in a single-bond geometry to one S(1) atom. In the fourth O site, O(4) is bonded in a linear geometry to one Mg(1) and one S(2) atom. In the fifth O site, O(5) is bonded in a distorted trigonal planar geometry to one Mg(1), one Cu(2), and one S(1) atom. In the sixth O site, O(6) is bonded in a distorted trigonal planar geometry to one Mg(1), one Cu(1), and one S(1) atom. In the seventh O site, O(7) is bonded in a 3-coordinate geometry to one Ag(1), one Cu(2), and one S(2) atom. In the eighth O site, O(8) is bonded in a 3-coordinate geometry to one Ag(1), one Cu(1), and one S(2) atom. In the ninth O site, O(9) is bonded in a trigonal planar geometry to one Mg(1), one Cu(1), and one Cu(2) atom. In the tenth O site, O(10) is bonded in a trigonal non-coplanar geometry to one Mg(1), one Cu(1), and one Cu(2) atom.
MgAgCu2(SO5)2 crystallizes in the triclinic P1 space group. Mg(1) is bonded to one O(10), one O(4), one O(5), one O(6), and one O(9) atom to form distorted MgO5 trigonal bipyramids that share  a cornercorner with one S(2)O4 tetrahedra and corners with two equivalent S(1)O4 tetrahedra. The Mg(1)-O(10) bond length is 2.01 Å. The Mg(1)-O(4) bond length is 2.06 Å. The Mg(1)-O(5) bond length is 2.14 Å. The Mg(1)-O(6) bond length is 2.14 Å. The Mg(1)-O(9) bond length is 1.95 Å. Ag(1) is bonded in a rectangular see-saw-like geometry to one O(1), one O(2), one O(7), and one O(8) atom. The Ag(1)-O(1) bond length is 2.25 Å. The Ag(1)-O(2) bond length is 2.27 Å. The Ag(1)-O(7) bond length is 2.56 Å. The Ag(1)-O(8) bond length is 2.56 Å. There are two inequivalent Cu sites. In the first Cu site, Cu(1) is bonded in a rectangular see-saw-like geometry to one O(10), one O(6), one O(8), and one O(9) atom. The Cu(1)-O(10) bond length is 1.82 Å. The Cu(1)-O(6) bond length is 1.99 Å. The Cu(1)-O(8) bond length is 1.95 Å. The Cu(1)-O(9) bond length is 1.84 Å. In the second Cu site, Cu(2) is bonded in a rectangular see-saw-like geometry to one O(10), one O(5), one O(7), and one O(9) atom. The Cu(2)-O(10) bond length is 1.82 Å. The Cu(2)-O(5) bond length is 2.02 Å. The Cu(2)-O(7) bond length is 1.97 Å. The Cu(2)-O(9) bond length is 1.85 Å. There are two inequivalent S sites. In the first S site, S(1) is bonded to one O(1), one O(3), one O(5), and one O(6) atom to form SO4 tetrahedra that share corners with two equivalent Mg(1)O5 trigonal bipyramids. The S(1)-O(1) bond length is 1.49 Å. The S(1)-O(3) bond length is 1.44 Å. The S(1)-O(5) bond length is 1.53 Å. The S(1)-O(6) bond length is 1.54 Å. In the second S site, S(2) is bonded to one O(2), one O(4), one O(7), and one O(8) atom to form SO4 tetrahedra that share  a cornercorner with one Mg(1)O5 trigonal bipyramid. The S(2)-O(2) bond length is 1.48 Å. The S(2)-O(4) bond length is 1.47 Å. The S(2)-O(7) bond length is 1.51 Å. The S(2)-O(8) bond length is 1.51 Å. There are ten inequivalent O sites. In the first O site, O(1) is bonded in a bent 120 degrees geometry to one Ag(1) and one S(1) atom. In the second O site, O(2) is bonded in a bent 120 degrees geometry to one Ag(1) and one S(2) atom. In the third O site, O(3) is bonded in a single-bond geometry to one S(1) atom. In the fourth O site, O(4) is bonded in a linear geometry to one Mg(1) and one S(2) atom. In the fifth O site, O(5) is bonded in a distorted trigonal planar geometry to one Mg(1), one Cu(2), and one S(1) atom. In the sixth O site, O(6) is bonded in a distorted trigonal planar geometry to one Mg(1), one Cu(1), and one S(1) atom. In the seventh O site, O(7) is bonded in a 3-coordinate geometry to one Ag(1), one Cu(2), and one S(2) atom. In the eighth O site, O(8) is bonded in a 3-coordinate geometry to one Ag(1), one Cu(1), and one S(2) atom. In the ninth O site, O(9) is bonded in a trigonal planar geometry to one Mg(1), one Cu(1), and one Cu(2) atom. In the tenth O site, O(10) is bonded in a trigonal non-coplanar geometry to one Mg(1), one Cu(1), and one Cu(2) atom.