Mg(AgO2)2 is Spinel-like structured and crystallizes in the trigonal P3m1 space group. There are six inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to one O(9) and three equivalent O(1) atoms to form MgO4 tetrahedra that share corners with three equivalent Mg(5)O6 octahedra, corners with three equivalent Ag(5)O6 octahedra, and corners with six equivalent Ag(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-61°. In the second Mg site, Mg(2) is bonded to one O(2) and three equivalent O(3) atoms to form MgO4 tetrahedra that share corners with three equivalent Mg(3)O6 octahedra, corners with three equivalent Ag(1)O6 octahedra, and corners with six equivalent Ag(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-60°. In the third Mg site, Mg(3) is bonded to three equivalent O(3) and three equivalent O(4) atoms to form MgO6 octahedra that share corners with three equivalent Mg(2)O4 tetrahedra, corners with three equivalent Ag(4)O4 tetrahedra, edges with three equivalent Ag(1)O6 octahedra, and edges with three equivalent Ag(2)O6 octahedra. In the fourth Mg site, Mg(4) is bonded to one O(5) and three equivalent O(7) atoms to form MgO4 tetrahedra that share corners with three equivalent Ag(2)O6 octahedra, corners with three equivalent Ag(3)O6 octahedra, and corners with six equivalent Ag(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-58°. In the fifth Mg site, Mg(5) is bonded to three equivalent O(1) and three equivalent O(11) atoms to form MgO6 octahedra that share corners with three equivalent Mg(1)O4 tetrahedra, corners with three equivalent Ag(6)O4 tetrahedra, edges with three equivalent Ag(1)O6 octahedra, and edges with three equivalent Ag(5)O6 octahedra. In the sixth Mg site, Mg(6) is bonded to one O(12) and three equivalent O(8) atoms to form MgO4 tetrahedra that share corners with three equivalent Ag(3)O6 octahedra, corners with three equivalent Ag(5)O6 octahedra, and corners with six equivalent Ag(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-57°. There are six inequivalent Ag sites. In the first Ag site, Ag(1) is bonded to one O(2), one O(6), two equivalent O(1), and two equivalent O(4) atoms to form AgO6 octahedra that share  a cornercorner with one Mg(2)O4 tetrahedra,  a cornercorner with one Ag(6)O4 tetrahedra, corners with two equivalent Mg(1)O4 tetrahedra, corners with two equivalent Ag(4)O4 tetrahedra,  an edgeedge with one Mg(3)O6 octahedra,  an edgeedge with one Mg(5)O6 octahedra, and edges with four equivalent Ag(1)O6 octahedra. In the second Ag site, Ag(2) is bonded to one O(10), one O(5), two equivalent O(3), and two equivalent O(8) atoms to form AgO6 octahedra that share  a cornercorner with one Mg(4)O4 tetrahedra,  a cornercorner with one Ag(4)O4 tetrahedra, corners with two equivalent Mg(2)O4 tetrahedra, corners with two equivalent Mg(6)O4 tetrahedra,  an edgeedge with one Mg(3)O6 octahedra,  an edgeedge with one Ag(3)O6 octahedra, and edges with four equivalent Ag(2)O6 octahedra. In the third Ag site, Ag(3) is bonded to three equivalent O(7) and three equivalent O(8) atoms to form AgO6 octahedra that share corners with three equivalent Mg(4)O4 tetrahedra, corners with three equivalent Mg(6)O4 tetrahedra, edges with three equivalent Ag(2)O6 octahedra, and edges with three equivalent Ag(5)O6 octahedra. In the fourth Ag site, Ag(4) is bonded to one O(10) and three equivalent O(4) atoms to form AgO4 tetrahedra that share corners with three equivalent Mg(3)O6 octahedra, corners with three equivalent Ag(2)O6 octahedra, and corners with six equivalent Ag(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 60-61°. In the fifth Ag site, Ag(5) is bonded to one O(12), one O(9), two equivalent O(11), and two equivalent O(7) atoms to form AgO6 octahedra that share  a cornercorner with one Mg(1)O4 tetrahedra,  a cornercorner with one Mg(6)O4 tetrahedra, corners with two equivalent Mg(4)O4 tetrahedra, corners with two equivalent Ag(6)O4 tetrahedra,  an edgeedge with one Mg(5)O6 octahedra,  an edgeedge with one Ag(3)O6 octahedra, and edges with four equivalent Ag(5)O6 octahedra. In the sixth Ag site, Ag(6) is bonded to one O(6) and three equivalent O(11) atoms to form AgO4 tetrahedra that share corners with three equivalent Mg(5)O6 octahedra, corners with three equivalent Ag(1)O6 octahedra, and corners with six equivalent Ag(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 58-62°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Mg(5), and two equivalent Ag(1) atoms. In the second O site, O(2) is bonded in a distorted rectangular see-saw-like geometry to one Mg(2) and three equivalent Ag(1) atoms. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Mg(2), one Mg(3), and two equivalent Ag(2) atoms. In the fourth O site, O(4) is bonded to one Mg(3), one Ag(4), and two equivalent Ag(1) atoms to form distorted OMgAg3 tetrahedra that share  a cornercorner with one O(10)Ag4 tetrahedra, corners with two equivalent O(4)MgAg3 tetrahedra, edges with two equivalent O(4)MgAg3 tetrahedra, and  an edgeedge with one O(6)Ag4 trigonal pyramid. In the fifth O site, O(5) is bonded in a distorted rectangular see-saw-like geometry to one Mg(4) and three equivalent Ag(2) atoms. In the sixth O site, O(6) is bonded to one Ag(6) and three equivalent Ag(1) atoms to form a mixture of distorted corner and edge-sharing OAg4 trigonal pyramids. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Mg(4), one Ag(3), and two equivalent Ag(5) atoms. In the eighth O site, O(8) is bonded in a rectangular see-saw-like geometry to one Mg(6), one Ag(3), and two equivalent Ag(2) atoms. In the ninth O site, O(9) is bonded in a distorted rectangular see-saw-like geometry to one Mg(1) and three equivalent Ag(5) atoms. In the tenth O site, O(10) is bonded to one Ag(4) and three equivalent Ag(2) atoms to form distorted corner-sharing OAg4 tetrahedra. In the eleventh O site, O(11) is bonded to one Mg(5), one Ag(6), and two equivalent Ag(5) atoms to form distorted OMgAg3 tetrahedra that share corners with two equivalent O(11)MgAg3 tetrahedra,  a cornercorner with one O(6)Ag4 trigonal pyramid, and edges with two equivalent O(11)MgAg3 tetrahedra. In the twelfth O site, O(12) is bonded in a rectangular see-saw-like geometry to one Mg(6) and three equivalent Ag(5) atoms.
Mg(AgO2)2 is Spinel-like structured and crystallizes in the trigonal P3m1 space group. There are six inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to one O(9) and three equivalent O(1) atoms to form MgO4 tetrahedra that share corners with three equivalent Mg(5)O6 octahedra, corners with three equivalent Ag(5)O6 octahedra, and corners with six equivalent Ag(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-61°. The Mg(1)-O(9) bond length is 2.02 Å. All Mg(1)-O(1) bond lengths are 2.08 Å. In the second Mg site, Mg(2) is bonded to one O(2) and three equivalent O(3) atoms to form MgO4 tetrahedra that share corners with three equivalent Mg(3)O6 octahedra, corners with three equivalent Ag(1)O6 octahedra, and corners with six equivalent Ag(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-60°. The Mg(2)-O(2) bond length is 2.01 Å. All Mg(2)-O(3) bond lengths are 2.05 Å. In the third Mg site, Mg(3) is bonded to three equivalent O(3) and three equivalent O(4) atoms to form MgO6 octahedra that share corners with three equivalent Mg(2)O4 tetrahedra, corners with three equivalent Ag(4)O4 tetrahedra, edges with three equivalent Ag(1)O6 octahedra, and edges with three equivalent Ag(2)O6 octahedra. All Mg(3)-O(3) bond lengths are 2.11 Å. All Mg(3)-O(4) bond lengths are 2.14 Å. In the fourth Mg site, Mg(4) is bonded to one O(5) and three equivalent O(7) atoms to form MgO4 tetrahedra that share corners with three equivalent Ag(2)O6 octahedra, corners with three equivalent Ag(3)O6 octahedra, and corners with six equivalent Ag(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-58°. The Mg(4)-O(5) bond length is 2.03 Å. All Mg(4)-O(7) bond lengths are 2.07 Å. In the fifth Mg site, Mg(5) is bonded to three equivalent O(1) and three equivalent O(11) atoms to form MgO6 octahedra that share corners with three equivalent Mg(1)O4 tetrahedra, corners with three equivalent Ag(6)O4 tetrahedra, edges with three equivalent Ag(1)O6 octahedra, and edges with three equivalent Ag(5)O6 octahedra. All Mg(5)-O(1) bond lengths are 2.12 Å. All Mg(5)-O(11) bond lengths are 2.13 Å. In the sixth Mg site, Mg(6) is bonded to one O(12) and three equivalent O(8) atoms to form MgO4 tetrahedra that share corners with three equivalent Ag(3)O6 octahedra, corners with three equivalent Ag(5)O6 octahedra, and corners with six equivalent Ag(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-57°. The Mg(6)-O(12) bond length is 1.98 Å. All Mg(6)-O(8) bond lengths are 2.04 Å. There are six inequivalent Ag sites. In the first Ag site, Ag(1) is bonded to one O(2), one O(6), two equivalent O(1), and two equivalent O(4) atoms to form AgO6 octahedra that share  a cornercorner with one Mg(2)O4 tetrahedra,  a cornercorner with one Ag(6)O4 tetrahedra, corners with two equivalent Mg(1)O4 tetrahedra, corners with two equivalent Ag(4)O4 tetrahedra,  an edgeedge with one Mg(3)O6 octahedra,  an edgeedge with one Mg(5)O6 octahedra, and edges with four equivalent Ag(1)O6 octahedra. The Ag(1)-O(2) bond length is 2.24 Å. The Ag(1)-O(6) bond length is 2.21 Å. Both Ag(1)-O(1) bond lengths are 2.16 Å. Both Ag(1)-O(4) bond lengths are 2.10 Å. In the second Ag site, Ag(2) is bonded to one O(10), one O(5), two equivalent O(3), and two equivalent O(8) atoms to form AgO6 octahedra that share  a cornercorner with one Mg(4)O4 tetrahedra,  a cornercorner with one Ag(4)O4 tetrahedra, corners with two equivalent Mg(2)O4 tetrahedra, corners with two equivalent Mg(6)O4 tetrahedra,  an edgeedge with one Mg(3)O6 octahedra,  an edgeedge with one Ag(3)O6 octahedra, and edges with four equivalent Ag(2)O6 octahedra. The Ag(2)-O(10) bond length is 2.17 Å. The Ag(2)-O(5) bond length is 2.22 Å. Both Ag(2)-O(3) bond lengths are 2.20 Å. Both Ag(2)-O(8) bond lengths are 2.20 Å. In the third Ag site, Ag(3) is bonded to three equivalent O(7) and three equivalent O(8) atoms to form AgO6 octahedra that share corners with three equivalent Mg(4)O4 tetrahedra, corners with three equivalent Mg(6)O4 tetrahedra, edges with three equivalent Ag(2)O6 octahedra, and edges with three equivalent Ag(5)O6 octahedra. All Ag(3)-O(7) bond lengths are 2.27 Å. All Ag(3)-O(8) bond lengths are 2.24 Å. In the fourth Ag site, Ag(4) is bonded to one O(10) and three equivalent O(4) atoms to form AgO4 tetrahedra that share corners with three equivalent Mg(3)O6 octahedra, corners with three equivalent Ag(2)O6 octahedra, and corners with six equivalent Ag(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 60-61°. The Ag(4)-O(10) bond length is 2.14 Å. All Ag(4)-O(4) bond lengths are 2.22 Å. In the fifth Ag site, Ag(5) is bonded to one O(12), one O(9), two equivalent O(11), and two equivalent O(7) atoms to form AgO6 octahedra that share  a cornercorner with one Mg(1)O4 tetrahedra,  a cornercorner with one Mg(6)O4 tetrahedra, corners with two equivalent Mg(4)O4 tetrahedra, corners with two equivalent Ag(6)O4 tetrahedra,  an edgeedge with one Mg(5)O6 octahedra,  an edgeedge with one Ag(3)O6 octahedra, and edges with four equivalent Ag(5)O6 octahedra. The Ag(5)-O(12) bond length is 2.26 Å. The Ag(5)-O(9) bond length is 2.28 Å. Both Ag(5)-O(11) bond lengths are 2.09 Å. Both Ag(5)-O(7) bond lengths are 2.16 Å. In the sixth Ag site, Ag(6) is bonded to one O(6) and three equivalent O(11) atoms to form AgO4 tetrahedra that share corners with three equivalent Mg(5)O6 octahedra, corners with three equivalent Ag(1)O6 octahedra, and corners with six equivalent Ag(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 58-62°. The Ag(6)-O(6) bond length is 2.09 Å. All Ag(6)-O(11) bond lengths are 2.19 Å. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Mg(5), and two equivalent Ag(1) atoms. In the second O site, O(2) is bonded in a distorted rectangular see-saw-like geometry to one Mg(2) and three equivalent Ag(1) atoms. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Mg(2), one Mg(3), and two equivalent Ag(2) atoms. In the fourth O site, O(4) is bonded to one Mg(3), one Ag(4), and two equivalent Ag(1) atoms to form distorted OMgAg3 tetrahedra that share  a cornercorner with one O(10)Ag4 tetrahedra, corners with two equivalent O(4)MgAg3 tetrahedra, edges with two equivalent O(4)MgAg3 tetrahedra, and  an edgeedge with one O(6)Ag4 trigonal pyramid. In the fifth O site, O(5) is bonded in a distorted rectangular see-saw-like geometry to one Mg(4) and three equivalent Ag(2) atoms. In the sixth O site, O(6) is bonded to one Ag(6) and three equivalent Ag(1) atoms to form a mixture of distorted corner and edge-sharing OAg4 trigonal pyramids. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Mg(4), one Ag(3), and two equivalent Ag(5) atoms. In the eighth O site, O(8) is bonded in a rectangular see-saw-like geometry to one Mg(6), one Ag(3), and two equivalent Ag(2) atoms. In the ninth O site, O(9) is bonded in a distorted rectangular see-saw-like geometry to one Mg(1) and three equivalent Ag(5) atoms. In the tenth O site, O(10) is bonded to one Ag(4) and three equivalent Ag(2) atoms to form distorted corner-sharing OAg4 tetrahedra. In the eleventh O site, O(11) is bonded to one Mg(5), one Ag(6), and two equivalent Ag(5) atoms to form distorted OMgAg3 tetrahedra that share corners with two equivalent O(11)MgAg3 tetrahedra,  a cornercorner with one O(6)Ag4 trigonal pyramid, and edges with two equivalent O(11)MgAg3 tetrahedra. In the twelfth O site, O(12) is bonded in a rectangular see-saw-like geometry to one Mg(6) and three equivalent Ag(5) atoms.