Mg(AgO2)2 is Spinel-like structured and crystallizes in the monoclinic Cm space group. There are six inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to one O(13), one O(3), and two equivalent O(1) atoms to form MgO4 tetrahedra that share  a cornercorner with one Mg(6)O6 octahedra, corners with two equivalent Mg(3)O6 octahedra, corners with two equivalent Ag(6)O6 octahedra, corners with three equivalent Ag(3)O6 octahedra, and corners with four equivalent Ag(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-62°. In the second Mg site, Mg(2) is bonded to one O(5), one O(9), two equivalent O(4), and two equivalent O(7) atoms to form MgO6 octahedra that share corners with three equivalent Ag(2)O4 tetrahedra, corners with three equivalent Ag(7)O4 tetrahedra,  an edgeedge with one Mg(3)O6 octahedra,  an edgeedge with one Mg(5)O6 octahedra, edges with two equivalent Ag(1)O6 octahedra, and edges with two equivalent Ag(4)O6 octahedra. In the third Mg site, Mg(3) is bonded to one O(2), one O(8), two equivalent O(1), and two equivalent O(7) atoms to form MgO6 octahedra that share  a cornercorner with one Ag(2)O4 tetrahedra,  a cornercorner with one Ag(9)O4 tetrahedra, corners with two equivalent Mg(1)O4 tetrahedra, corners with two equivalent Ag(7)O4 tetrahedra,  an edgeedge with one Mg(2)O6 octahedra,  an edgeedge with one Ag(3)O6 octahedra, and edges with four equivalent Ag(1)O6 octahedra. In the fourth Mg site, Mg(4) is bonded to one O(11), one O(15), two equivalent O(10), and two equivalent O(12) atoms to form MgO6 octahedra that share corners with three equivalent Ag(5)O4 tetrahedra, corners with three equivalent Ag(8)O4 tetrahedra,  an edgeedge with one Mg(5)O6 octahedra,  an edgeedge with one Mg(6)O6 octahedra, edges with two equivalent Ag(4)O6 octahedra, and edges with two equivalent Ag(6)O6 octahedra. In the fifth Mg site, Mg(5) is bonded to one O(14), one O(6), two equivalent O(12), and two equivalent O(4) atoms to form MgO6 octahedra that share  a cornercorner with one Ag(5)O4 tetrahedra,  a cornercorner with one Ag(7)O4 tetrahedra, corners with two equivalent Ag(2)O4 tetrahedra, corners with two equivalent Ag(8)O4 tetrahedra,  an edgeedge with one Mg(2)O6 octahedra,  an edgeedge with one Mg(4)O6 octahedra, and edges with four equivalent Ag(4)O6 octahedra. In the sixth Mg site, Mg(6) is bonded to one O(13), one O(18), two equivalent O(10), and two equivalent O(17) atoms to form MgO6 octahedra that share  a cornercorner with one Mg(1)O4 tetrahedra,  a cornercorner with one Ag(8)O4 tetrahedra, corners with two equivalent Ag(5)O4 tetrahedra, corners with two equivalent Ag(9)O4 tetrahedra,  an edgeedge with one Mg(4)O6 octahedra,  an edgeedge with one Ag(3)O6 octahedra, and edges with four equivalent Ag(6)O6 octahedra. There are nine inequivalent Ag sites. In the first Ag site, Ag(1) is bonded to one O(1), one O(2), one O(3), one O(5), one O(7), and one O(8) atom to form AgO6 octahedra that share  a cornercorner with one Ag(2)O4 tetrahedra,  a cornercorner with one Ag(9)O4 tetrahedra, corners with two equivalent Mg(1)O4 tetrahedra, corners with two equivalent Ag(7)O4 tetrahedra,  an edgeedge with one Mg(2)O6 octahedra,  an edgeedge with one Ag(3)O6 octahedra, edges with two equivalent Mg(3)O6 octahedra, and edges with two equivalent Ag(1)O6 octahedra. In the second Ag site, Ag(2) is bonded to one O(2), one O(9), and two equivalent O(4) atoms to form AgO4 tetrahedra that share  a cornercorner with one Mg(3)O6 octahedra, corners with two equivalent Mg(5)O6 octahedra, corners with two equivalent Ag(1)O6 octahedra, corners with three equivalent Mg(2)O6 octahedra, and corners with four equivalent Ag(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-65°. In the third Ag site, Ag(3) is bonded to one O(16), one O(3), two equivalent O(1), and two equivalent O(17) atoms to form AgO6 octahedra that share corners with three equivalent Mg(1)O4 tetrahedra, corners with three equivalent Ag(9)O4 tetrahedra,  an edgeedge with one Mg(3)O6 octahedra,  an edgeedge with one Mg(6)O6 octahedra, edges with two equivalent Ag(1)O6 octahedra, and edges with two equivalent Ag(6)O6 octahedra. In the fourth Ag site, Ag(4) is bonded to one O(11), one O(12), one O(14), one O(4), one O(6), and one O(9) atom to form AgO6 octahedra that share  a cornercorner with one Ag(5)O4 tetrahedra,  a cornercorner with one Ag(7)O4 tetrahedra, corners with two equivalent Ag(2)O4 tetrahedra, corners with two equivalent Ag(8)O4 tetrahedra,  an edgeedge with one Mg(2)O6 octahedra,  an edgeedge with one Mg(4)O6 octahedra, edges with two equivalent Mg(5)O6 octahedra, and edges with two equivalent Ag(4)O6 octahedra. In the fifth Ag site, Ag(5) is bonded to one O(15), one O(6), and two equivalent O(10) atoms to form AgO4 tetrahedra that share  a cornercorner with one Mg(5)O6 octahedra, corners with two equivalent Mg(6)O6 octahedra, corners with two equivalent Ag(4)O6 octahedra, corners with three equivalent Mg(4)O6 octahedra, and corners with four equivalent Ag(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-64°. In the sixth Ag site, Ag(6) is bonded to one O(10), one O(13), one O(15), one O(16), one O(17), and one O(18) atom to form AgO6 octahedra that share  a cornercorner with one Mg(1)O4 tetrahedra,  a cornercorner with one Ag(8)O4 tetrahedra, corners with two equivalent Ag(5)O4 tetrahedra, corners with two equivalent Ag(9)O4 tetrahedra,  an edgeedge with one Mg(4)O6 octahedra,  an edgeedge with one Ag(3)O6 octahedra, edges with two equivalent Mg(6)O6 octahedra, and edges with two equivalent Ag(6)O6 octahedra. In the seventh Ag site, Ag(7) is bonded to one O(14), one O(5), and two equivalent O(7) atoms to form AgO4 tetrahedra that share  a cornercorner with one Mg(5)O6 octahedra, corners with two equivalent Mg(3)O6 octahedra, corners with two equivalent Ag(4)O6 octahedra, corners with three equivalent Mg(2)O6 octahedra, and corners with four equivalent Ag(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-64°. In the eighth Ag site, Ag(8) is bonded to one O(11), one O(18), and two equivalent O(12) atoms to form AgO4 tetrahedra that share  a cornercorner with one Mg(6)O6 octahedra, corners with two equivalent Mg(5)O6 octahedra, corners with two equivalent Ag(6)O6 octahedra, corners with three equivalent Mg(4)O6 octahedra, and corners with four equivalent Ag(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-64°. In the ninth Ag site, Ag(9) is bonded to one O(16), one O(8), and two equivalent O(17) atoms to form AgO4 tetrahedra that share  a cornercorner with one Mg(3)O6 octahedra, corners with two equivalent Mg(6)O6 octahedra, corners with two equivalent Ag(1)O6 octahedra, corners with three equivalent Ag(3)O6 octahedra, and corners with four equivalent Ag(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 58-64°. There are eighteen 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(3), one Ag(1), and one Ag(3) atom. In the second O site, O(2) is bonded to one Mg(3), one Ag(2), and two equivalent Ag(1) atoms to form distorted OMgAg3 tetrahedra that share corners with two equivalent O(4)Mg2Ag2 tetrahedra, corners with four equivalent O(7)Mg2Ag2 tetrahedra,  a cornercorner with one O(9)MgAg3 trigonal pyramid, corners with two equivalent O(5)MgAg3 trigonal pyramids, and corners with three equivalent O(8)MgAg3 trigonal pyramids. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Ag(3), and two equivalent Ag(1) atoms. In the fourth O site, O(4) is bonded to one Mg(2), one Mg(5), one Ag(2), and one Ag(4) atom to form distorted OMg2Ag2 tetrahedra that share  a cornercorner with one O(4)Mg2Ag2 tetrahedra,  a cornercorner with one O(2)MgAg3 tetrahedra, corners with two equivalent O(7)Mg2Ag2 tetrahedra, corners with three equivalent O(12)Mg2Ag2 tetrahedra,  a cornercorner with one O(11)MgAg3 trigonal pyramid,  a cornercorner with one O(5)MgAg3 trigonal pyramid,  a cornercorner with one O(9)MgAg3 trigonal pyramid, corners with two equivalent O(14)MgAg3 trigonal pyramids,  an edgeedge with one O(4)Mg2Ag2 tetrahedra,  an edgeedge with one O(6)MgAg3 trigonal pyramid, and  an edgeedge with one O(9)MgAg3 trigonal pyramid. In the fifth O site, O(5) is bonded to one Mg(2), one Ag(7), and two equivalent Ag(1) atoms to form distorted OMgAg3 trigonal pyramids that share corners with two equivalent O(4)Mg2Ag2 tetrahedra, corners with two equivalent O(7)Mg2Ag2 tetrahedra, corners with two equivalent O(2)MgAg3 tetrahedra,  a cornercorner with one O(14)MgAg3 trigonal pyramid,  a cornercorner with one O(9)MgAg3 trigonal pyramid, edges with two equivalent O(7)Mg2Ag2 tetrahedra, and  an edgeedge with one O(8)MgAg3 trigonal pyramid. In the sixth O site, O(6) is bonded to one Mg(5), one Ag(5), and two equivalent Ag(4) atoms to form distorted OMgAg3 trigonal pyramids that share corners with two equivalent O(10)Mg2Ag2 tetrahedra, corners with four equivalent O(12)Mg2Ag2 tetrahedra,  a cornercorner with one O(15)MgAg3 trigonal pyramid, corners with two equivalent O(11)MgAg3 trigonal pyramids, corners with three equivalent O(14)MgAg3 trigonal pyramids, edges with two equivalent O(4)Mg2Ag2 tetrahedra, and  an edgeedge with one O(9)MgAg3 trigonal pyramid. In the seventh O site, O(7) is bonded to one Mg(2), one Mg(3), one Ag(1), and one Ag(7) atom to form distorted OMg2Ag2 tetrahedra that share  a cornercorner with one O(7)Mg2Ag2 tetrahedra, corners with two equivalent O(4)Mg2Ag2 tetrahedra, corners with two equivalent O(2)MgAg3 tetrahedra,  a cornercorner with one O(14)MgAg3 trigonal pyramid,  a cornercorner with one O(5)MgAg3 trigonal pyramid,  a cornercorner with one O(9)MgAg3 trigonal pyramid,  an edgeedge with one O(7)Mg2Ag2 tetrahedra,  an edgeedge with one O(5)MgAg3 trigonal pyramid, and  an edgeedge with one O(8)MgAg3 trigonal pyramid. In the eighth O site, O(8) is bonded to one Mg(3), one Ag(9), and two equivalent Ag(1) atoms to form distorted OMgAg3 trigonal pyramids that share corners with two equivalent O(17)MgAg3 tetrahedra, corners with three equivalent O(2)MgAg3 tetrahedra,  a cornercorner with one O(16)Ag4 trigonal pyramid, edges with two equivalent O(7)Mg2Ag2 tetrahedra, and  an edgeedge with one O(5)MgAg3 trigonal pyramid. In the ninth O site, O(9) is bonded to one Mg(2), one Ag(2), and two equivalent Ag(4) atoms to form distorted OMgAg3 trigonal pyramids that share  a cornercorner with one O(2)MgAg3 tetrahedra, corners with two equivalent O(12)Mg2Ag2 tetrahedra, corners with two equivalent O(4)Mg2Ag2 tetrahedra, corners with two equivalent O(7)Mg2Ag2 tetrahedra,  a cornercorner with one O(5)MgAg3 trigonal pyramid, corners with two equivalent O(11)MgAg3 trigonal pyramids, corners with two equivalent O(14)MgAg3 trigonal pyramids, edges with two equivalent O(4)Mg2Ag2 tetrahedra, and  an edgeedge with one O(6)MgAg3 trigonal pyramid. In the tenth O site, O(10) is bonded to one Mg(4), one Mg(6), one Ag(5), and one Ag(6) atom to form distorted OMg2Ag2 tetrahedra that share  a cornercorner with one O(10)Mg2Ag2 tetrahedra, corners with two equivalent O(12)Mg2Ag2 tetrahedra, corners with three equivalent O(17)MgAg3 tetrahedra,  a cornercorner with one O(16)Ag4 trigonal pyramid,  a cornercorner with one O(11)MgAg3 trigonal pyramid,  a cornercorner with one O(15)MgAg3 trigonal pyramid,  a cornercorner with one O(6)MgAg3 trigonal pyramid, corners with two equivalent O(18)MgAg3 trigonal pyramids,  an edgeedge with one O(10)Mg2Ag2 tetrahedra, and  an edgeedge with one O(15)MgAg3 trigonal pyramid. In the eleventh O site, O(11) is bonded to one Mg(4), one Ag(8), and two equivalent Ag(4) atoms to form distorted OMgAg3 trigonal pyramids that share corners with two equivalent O(10)Mg2Ag2 tetrahedra, corners with two equivalent O(12)Mg2Ag2 tetrahedra, corners with two equivalent O(4)Mg2Ag2 tetrahedra,  a cornercorner with one O(15)MgAg3 trigonal pyramid,  a cornercorner with one O(18)MgAg3 trigonal pyramid, corners with two equivalent O(6)MgAg3 trigonal pyramids, corners with two equivalent O(9)MgAg3 trigonal pyramids, edges with two equivalent O(12)Mg2Ag2 tetrahedra, and  an edgeedge with one O(14)MgAg3 trigonal pyramid. In the twelfth O site, O(12) is bonded to one Mg(4), one Mg(5), one Ag(4), and one Ag(8) atom to form distorted OMg2Ag2 tetrahedra that share  a cornercorner with one O(12)Mg2Ag2 tetrahedra, corners with two equivalent O(10)Mg2Ag2 tetrahedra, corners with three equivalent O(4)Mg2Ag2 tetrahedra,  a cornercorner with one O(11)MgAg3 trigonal pyramid,  a cornercorner with one O(15)MgAg3 trigonal pyramid,  a cornercorner with one O(18)MgAg3 trigonal pyramid,  a cornercorner with one O(9)MgAg3 trigonal pyramid, corners with two equivalent O(6)MgAg3 trigonal pyramids,  an edgeedge with one O(12)Mg2Ag2 tetrahedra,  an edgeedge with one O(11)MgAg3 trigonal pyramid, and  an edgeedge with one O(14)MgAg3 trigonal pyramid. In the thirteenth O site, O(13) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Mg(6), and two equivalent Ag(6) atoms. In the fourteenth O site, O(14) is bonded to one Mg(5), one Ag(7), and two equivalent Ag(4) atoms to form distorted OMgAg3 trigonal pyramids that share corners with two equivalent O(7)Mg2Ag2 tetrahedra, corners with four equivalent O(4)Mg2Ag2 tetrahedra,  a cornercorner with one O(5)MgAg3 trigonal pyramid, corners with two equivalent O(9)MgAg3 trigonal pyramids, corners with three equivalent O(6)MgAg3 trigonal pyramids, edges with two equivalent O(12)Mg2Ag2 tetrahedra, and  an edgeedge with one O(11)MgAg3 trigonal pyramid. In the fifteenth O site, O(15) is bonded to one Mg(4), one Ag(5), and two equivalent Ag(6) atoms to form distorted OMgAg3 trigonal pyramids that share corners with two equivalent O(10)Mg2Ag2 tetrahedra, corners with two equivalent O(12)Mg2Ag2 tetrahedra, corners with two equivalent O(17)MgAg3 tetrahedra,  a cornercorner with one O(11)MgAg3 trigonal pyramid,  a cornercorner with one O(6)MgAg3 trigonal pyramid, corners with two equivalent O(16)Ag4 trigonal pyramids, corners with two equivalent O(18)MgAg3 trigonal pyramids, and edges with two equivalent O(10)Mg2Ag2 tetrahedra. In the sixteenth O site, O(16) is bonded to one Ag(3), one Ag(9), and two equivalent Ag(6) atoms to form distorted OAg4 trigonal pyramids that share corners with two equivalent O(10)Mg2Ag2 tetrahedra, corners with two equivalent O(17)MgAg3 tetrahedra,  a cornercorner with one O(8)MgAg3 trigonal pyramid, corners with two equivalent O(15)MgAg3 trigonal pyramids, edges with two equivalent O(17)MgAg3 tetrahedra, and  an edgeedge with one O(18)MgAg3 trigonal pyramid. In the seventeenth O site, O(17) is bonded to one Mg(6), one Ag(3), one Ag(6), and one Ag(9) atom to form distorted OMgAg3 tetrahedra that share  a cornercorner with one O(17)MgAg3 tetrahedra, corners with three equivalent O(10)Mg2Ag2 tetrahedra,  a cornercorner with one O(16)Ag4 trigonal pyramid,  a cornercorner with one O(15)MgAg3 trigonal pyramid,  a cornercorner with one O(8)MgAg3 trigonal pyramid,  an edgeedge with one O(17)MgAg3 tetrahedra,  an edgeedge with one O(16)Ag4 trigonal pyramid, and  an edgeedge with one O(18)MgAg3 trigonal pyramid. In the eighteenth O site, O(18) is bonded to one Mg(6), one Ag(8), and two equivalent Ag(6) atoms to form distorted OMgAg3 trigonal pyramids that share corners with two equivalent O(12)Mg2Ag2 tetrahedra, corners with four equivalent O(10)Mg2Ag2 tetrahedra,  a cornercorner with one O(11)MgAg3 trigonal pyramid, corners with two equivalent O(15)MgAg3 trigonal pyramids, edges with two equivalent O(17)MgAg3 tetrahedra, and  an edgeedge with one O(16)Ag4 trigonal pyramid.
Mg(AgO2)2 is Spinel-like structured and crystallizes in the monoclinic Cm space group. There are six inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to one O(13), one O(3), and two equivalent O(1) atoms to form MgO4 tetrahedra that share  a cornercorner with one Mg(6)O6 octahedra, corners with two equivalent Mg(3)O6 octahedra, corners with two equivalent Ag(6)O6 octahedra, corners with three equivalent Ag(3)O6 octahedra, and corners with four equivalent Ag(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-62°. The Mg(1)-O(13) bond length is 2.04 Å. The Mg(1)-O(3) bond length is 2.05 Å. Both Mg(1)-O(1) bond lengths are 2.08 Å. In the second Mg site, Mg(2) is bonded to one O(5), one O(9), two equivalent O(4), and two equivalent O(7) atoms to form MgO6 octahedra that share corners with three equivalent Ag(2)O4 tetrahedra, corners with three equivalent Ag(7)O4 tetrahedra,  an edgeedge with one Mg(3)O6 octahedra,  an edgeedge with one Mg(5)O6 octahedra, edges with two equivalent Ag(1)O6 octahedra, and edges with two equivalent Ag(4)O6 octahedra. The Mg(2)-O(5) bond length is 2.15 Å. The Mg(2)-O(9) bond length is 2.14 Å. Both Mg(2)-O(4) bond lengths are 2.09 Å. Both Mg(2)-O(7) bond lengths are 2.11 Å. In the third Mg site, Mg(3) is bonded to one O(2), one O(8), two equivalent O(1), and two equivalent O(7) atoms to form MgO6 octahedra that share  a cornercorner with one Ag(2)O4 tetrahedra,  a cornercorner with one Ag(9)O4 tetrahedra, corners with two equivalent Mg(1)O4 tetrahedra, corners with two equivalent Ag(7)O4 tetrahedra,  an edgeedge with one Mg(2)O6 octahedra,  an edgeedge with one Ag(3)O6 octahedra, and edges with four equivalent Ag(1)O6 octahedra. The Mg(3)-O(2) bond length is 2.12 Å. The Mg(3)-O(8) bond length is 2.11 Å. Both Mg(3)-O(1) bond lengths are 2.15 Å. Both Mg(3)-O(7) bond lengths are 2.10 Å. In the fourth Mg site, Mg(4) is bonded to one O(11), one O(15), two equivalent O(10), and two equivalent O(12) atoms to form MgO6 octahedra that share corners with three equivalent Ag(5)O4 tetrahedra, corners with three equivalent Ag(8)O4 tetrahedra,  an edgeedge with one Mg(5)O6 octahedra,  an edgeedge with one Mg(6)O6 octahedra, edges with two equivalent Ag(4)O6 octahedra, and edges with two equivalent Ag(6)O6 octahedra. The Mg(4)-O(11) bond length is 2.14 Å. The Mg(4)-O(15) bond length is 2.14 Å. Both Mg(4)-O(10) bond lengths are 2.11 Å. Both Mg(4)-O(12) bond lengths are 2.10 Å. In the fifth Mg site, Mg(5) is bonded to one O(14), one O(6), two equivalent O(12), and two equivalent O(4) atoms to form MgO6 octahedra that share  a cornercorner with one Ag(5)O4 tetrahedra,  a cornercorner with one Ag(7)O4 tetrahedra, corners with two equivalent Ag(2)O4 tetrahedra, corners with two equivalent Ag(8)O4 tetrahedra,  an edgeedge with one Mg(2)O6 octahedra,  an edgeedge with one Mg(4)O6 octahedra, and edges with four equivalent Ag(4)O6 octahedra. The Mg(5)-O(14) bond length is 2.13 Å. The Mg(5)-O(6) bond length is 2.13 Å. Both Mg(5)-O(12) bond lengths are 2.09 Å. Both Mg(5)-O(4) bond lengths are 2.09 Å. In the sixth Mg site, Mg(6) is bonded to one O(13), one O(18), two equivalent O(10), and two equivalent O(17) atoms to form MgO6 octahedra that share  a cornercorner with one Mg(1)O4 tetrahedra,  a cornercorner with one Ag(8)O4 tetrahedra, corners with two equivalent Ag(5)O4 tetrahedra, corners with two equivalent Ag(9)O4 tetrahedra,  an edgeedge with one Mg(4)O6 octahedra,  an edgeedge with one Ag(3)O6 octahedra, and edges with four equivalent Ag(6)O6 octahedra. The Mg(6)-O(13) bond length is 2.12 Å. The Mg(6)-O(18) bond length is 2.15 Å. Both Mg(6)-O(10) bond lengths are 2.07 Å. Both Mg(6)-O(17) bond lengths are 2.13 Å. There are nine inequivalent Ag sites. In the first Ag site, Ag(1) is bonded to one O(1), one O(2), one O(3), one O(5), one O(7), and one O(8) atom to form AgO6 octahedra that share  a cornercorner with one Ag(2)O4 tetrahedra,  a cornercorner with one Ag(9)O4 tetrahedra, corners with two equivalent Mg(1)O4 tetrahedra, corners with two equivalent Ag(7)O4 tetrahedra,  an edgeedge with one Mg(2)O6 octahedra,  an edgeedge with one Ag(3)O6 octahedra, edges with two equivalent Mg(3)O6 octahedra, and edges with two equivalent Ag(1)O6 octahedra. The Ag(1)-O(1) bond length is 2.15 Å. The Ag(1)-O(2) bond length is 2.13 Å. The Ag(1)-O(3) bond length is 2.24 Å. The Ag(1)-O(5) bond length is 2.17 Å. The Ag(1)-O(7) bond length is 2.06 Å. The Ag(1)-O(8) bond length is 2.11 Å. In the second Ag site, Ag(2) is bonded to one O(2), one O(9), and two equivalent O(4) atoms to form AgO4 tetrahedra that share  a cornercorner with one Mg(3)O6 octahedra, corners with two equivalent Mg(5)O6 octahedra, corners with two equivalent Ag(1)O6 octahedra, corners with three equivalent Mg(2)O6 octahedra, and corners with four equivalent Ag(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-65°. The Ag(2)-O(2) bond length is 2.23 Å. The Ag(2)-O(9) bond length is 2.18 Å. Both Ag(2)-O(4) bond lengths are 2.18 Å. In the third Ag site, Ag(3) is bonded to one O(16), one O(3), two equivalent O(1), and two equivalent O(17) atoms to form AgO6 octahedra that share corners with three equivalent Mg(1)O4 tetrahedra, corners with three equivalent Ag(9)O4 tetrahedra,  an edgeedge with one Mg(3)O6 octahedra,  an edgeedge with one Mg(6)O6 octahedra, edges with two equivalent Ag(1)O6 octahedra, and edges with two equivalent Ag(6)O6 octahedra. The Ag(3)-O(16) bond length is 2.20 Å. The Ag(3)-O(3) bond length is 2.25 Å. Both Ag(3)-O(1) bond lengths are 2.15 Å. Both Ag(3)-O(17) bond lengths are 2.10 Å. In the fourth Ag site, Ag(4) is bonded to one O(11), one O(12), one O(14), one O(4), one O(6), and one O(9) atom to form AgO6 octahedra that share  a cornercorner with one Ag(5)O4 tetrahedra,  a cornercorner with one Ag(7)O4 tetrahedra, corners with two equivalent Ag(2)O4 tetrahedra, corners with two equivalent Ag(8)O4 tetrahedra,  an edgeedge with one Mg(2)O6 octahedra,  an edgeedge with one Mg(4)O6 octahedra, edges with two equivalent Mg(5)O6 octahedra, and edges with two equivalent Ag(4)O6 octahedra. The Ag(4)-O(11) bond length is 2.15 Å. The Ag(4)-O(12) bond length is 2.07 Å. The Ag(4)-O(14) bond length is 2.13 Å. The Ag(4)-O(4) bond length is 2.08 Å. The Ag(4)-O(6) bond length is 2.13 Å. The Ag(4)-O(9) bond length is 2.14 Å. In the fifth Ag site, Ag(5) is bonded to one O(15), one O(6), and two equivalent O(10) atoms to form AgO4 tetrahedra that share  a cornercorner with one Mg(5)O6 octahedra, corners with two equivalent Mg(6)O6 octahedra, corners with two equivalent Ag(4)O6 octahedra, corners with three equivalent Mg(4)O6 octahedra, and corners with four equivalent Ag(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-64°. The Ag(5)-O(15) bond length is 2.17 Å. The Ag(5)-O(6) bond length is 2.16 Å. Both Ag(5)-O(10) bond lengths are 2.20 Å. In the sixth Ag site, Ag(6) is bonded to one O(10), one O(13), one O(15), one O(16), one O(17), and one O(18) atom to form AgO6 octahedra that share  a cornercorner with one Mg(1)O4 tetrahedra,  a cornercorner with one Ag(8)O4 tetrahedra, corners with two equivalent Ag(5)O4 tetrahedra, corners with two equivalent Ag(9)O4 tetrahedra,  an edgeedge with one Mg(4)O6 octahedra,  an edgeedge with one Ag(3)O6 octahedra, edges with two equivalent Mg(6)O6 octahedra, and edges with two equivalent Ag(6)O6 octahedra. The Ag(6)-O(10) bond length is 2.06 Å. The Ag(6)-O(13) bond length is 2.20 Å. The Ag(6)-O(15) bond length is 2.15 Å. The Ag(6)-O(16) bond length is 2.17 Å. The Ag(6)-O(17) bond length is 2.10 Å. The Ag(6)-O(18) bond length is 2.16 Å. In the seventh Ag site, Ag(7) is bonded to one O(14), one O(5), and two equivalent O(7) atoms to form AgO4 tetrahedra that share  a cornercorner with one Mg(5)O6 octahedra, corners with two equivalent Mg(3)O6 octahedra, corners with two equivalent Ag(4)O6 octahedra, corners with three equivalent Mg(2)O6 octahedra, and corners with four equivalent Ag(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-64°. The Ag(7)-O(14) bond length is 2.17 Å. The Ag(7)-O(5) bond length is 2.13 Å. Both Ag(7)-O(7) bond lengths are 2.19 Å. In the eighth Ag site, Ag(8) is bonded to one O(11), one O(18), and two equivalent O(12) atoms to form AgO4 tetrahedra that share  a cornercorner with one Mg(6)O6 octahedra, corners with two equivalent Mg(5)O6 octahedra, corners with two equivalent Ag(6)O6 octahedra, corners with three equivalent Mg(4)O6 octahedra, and corners with four equivalent Ag(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-64°. The Ag(8)-O(11) bond length is 2.18 Å. The Ag(8)-O(18) bond length is 2.17 Å. Both Ag(8)-O(12) bond lengths are 2.19 Å. In the ninth Ag site, Ag(9) is bonded to one O(16), one O(8), and two equivalent O(17) atoms to form AgO4 tetrahedra that share  a cornercorner with one Mg(3)O6 octahedra, corners with two equivalent Mg(6)O6 octahedra, corners with two equivalent Ag(1)O6 octahedra, corners with three equivalent Ag(3)O6 octahedra, and corners with four equivalent Ag(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 58-64°. The Ag(9)-O(16) bond length is 2.12 Å. The Ag(9)-O(8) bond length is 2.20 Å. Both Ag(9)-O(17) bond lengths are 2.21 Å. There are eighteen 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(3), one Ag(1), and one Ag(3) atom. In the second O site, O(2) is bonded to one Mg(3), one Ag(2), and two equivalent Ag(1) atoms to form distorted OMgAg3 tetrahedra that share corners with two equivalent O(4)Mg2Ag2 tetrahedra, corners with four equivalent O(7)Mg2Ag2 tetrahedra,  a cornercorner with one O(9)MgAg3 trigonal pyramid, corners with two equivalent O(5)MgAg3 trigonal pyramids, and corners with three equivalent O(8)MgAg3 trigonal pyramids. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Ag(3), and two equivalent Ag(1) atoms. In the fourth O site, O(4) is bonded to one Mg(2), one Mg(5), one Ag(2), and one Ag(4) atom to form distorted OMg2Ag2 tetrahedra that share  a cornercorner with one O(4)Mg2Ag2 tetrahedra,  a cornercorner with one O(2)MgAg3 tetrahedra, corners with two equivalent O(7)Mg2Ag2 tetrahedra, corners with three equivalent O(12)Mg2Ag2 tetrahedra,  a cornercorner with one O(11)MgAg3 trigonal pyramid,  a cornercorner with one O(5)MgAg3 trigonal pyramid,  a cornercorner with one O(9)MgAg3 trigonal pyramid, corners with two equivalent O(14)MgAg3 trigonal pyramids,  an edgeedge with one O(4)Mg2Ag2 tetrahedra,  an edgeedge with one O(6)MgAg3 trigonal pyramid, and  an edgeedge with one O(9)MgAg3 trigonal pyramid. In the fifth O site, O(5) is bonded to one Mg(2), one Ag(7), and two equivalent Ag(1) atoms to form distorted OMgAg3 trigonal pyramids that share corners with two equivalent O(4)Mg2Ag2 tetrahedra, corners with two equivalent O(7)Mg2Ag2 tetrahedra, corners with two equivalent O(2)MgAg3 tetrahedra,  a cornercorner with one O(14)MgAg3 trigonal pyramid,  a cornercorner with one O(9)MgAg3 trigonal pyramid, edges with two equivalent O(7)Mg2Ag2 tetrahedra, and  an edgeedge with one O(8)MgAg3 trigonal pyramid. In the sixth O site, O(6) is bonded to one Mg(5), one Ag(5), and two equivalent Ag(4) atoms to form distorted OMgAg3 trigonal pyramids that share corners with two equivalent O(10)Mg2Ag2 tetrahedra, corners with four equivalent O(12)Mg2Ag2 tetrahedra,  a cornercorner with one O(15)MgAg3 trigonal pyramid, corners with two equivalent O(11)MgAg3 trigonal pyramids, corners with three equivalent O(14)MgAg3 trigonal pyramids, edges with two equivalent O(4)Mg2Ag2 tetrahedra, and  an edgeedge with one O(9)MgAg3 trigonal pyramid. In the seventh O site, O(7) is bonded to one Mg(2), one Mg(3), one Ag(1), and one Ag(7) atom to form distorted OMg2Ag2 tetrahedra that share  a cornercorner with one O(7)Mg2Ag2 tetrahedra, corners with two equivalent O(4)Mg2Ag2 tetrahedra, corners with two equivalent O(2)MgAg3 tetrahedra,  a cornercorner with one O(14)MgAg3 trigonal pyramid,  a cornercorner with one O(5)MgAg3 trigonal pyramid,  a cornercorner with one O(9)MgAg3 trigonal pyramid,  an edgeedge with one O(7)Mg2Ag2 tetrahedra,  an edgeedge with one O(5)MgAg3 trigonal pyramid, and  an edgeedge with one O(8)MgAg3 trigonal pyramid. In the eighth O site, O(8) is bonded to one Mg(3), one Ag(9), and two equivalent Ag(1) atoms to form distorted OMgAg3 trigonal pyramids that share corners with two equivalent O(17)MgAg3 tetrahedra, corners with three equivalent O(2)MgAg3 tetrahedra,  a cornercorner with one O(16)Ag4 trigonal pyramid, edges with two equivalent O(7)Mg2Ag2 tetrahedra, and  an edgeedge with one O(5)MgAg3 trigonal pyramid. In the ninth O site, O(9) is bonded to one Mg(2), one Ag(2), and two equivalent Ag(4) atoms to form distorted OMgAg3 trigonal pyramids that share  a cornercorner with one O(2)MgAg3 tetrahedra, corners with two equivalent O(12)Mg2Ag2 tetrahedra, corners with two equivalent O(4)Mg2Ag2 tetrahedra, corners with two equivalent O(7)Mg2Ag2 tetrahedra,  a cornercorner with one O(5)MgAg3 trigonal pyramid, corners with two equivalent O(11)MgAg3 trigonal pyramids, corners with two equivalent O(14)MgAg3 trigonal pyramids, edges with two equivalent O(4)Mg2Ag2 tetrahedra, and  an edgeedge with one O(6)MgAg3 trigonal pyramid. In the tenth O site, O(10) is bonded to one Mg(4), one Mg(6), one Ag(5), and one Ag(6) atom to form distorted OMg2Ag2 tetrahedra that share  a cornercorner with one O(10)Mg2Ag2 tetrahedra, corners with two equivalent O(12)Mg2Ag2 tetrahedra, corners with three equivalent O(17)MgAg3 tetrahedra,  a cornercorner with one O(16)Ag4 trigonal pyramid,  a cornercorner with one O(11)MgAg3 trigonal pyramid,  a cornercorner with one O(15)MgAg3 trigonal pyramid,  a cornercorner with one O(6)MgAg3 trigonal pyramid, corners with two equivalent O(18)MgAg3 trigonal pyramids,  an edgeedge with one O(10)Mg2Ag2 tetrahedra, and  an edgeedge with one O(15)MgAg3 trigonal pyramid. In the eleventh O site, O(11) is bonded to one Mg(4), one Ag(8), and two equivalent Ag(4) atoms to form distorted OMgAg3 trigonal pyramids that share corners with two equivalent O(10)Mg2Ag2 tetrahedra, corners with two equivalent O(12)Mg2Ag2 tetrahedra, corners with two equivalent O(4)Mg2Ag2 tetrahedra,  a cornercorner with one O(15)MgAg3 trigonal pyramid,  a cornercorner with one O(18)MgAg3 trigonal pyramid, corners with two equivalent O(6)MgAg3 trigonal pyramids, corners with two equivalent O(9)MgAg3 trigonal pyramids, edges with two equivalent O(12)Mg2Ag2 tetrahedra, and  an edgeedge with one O(14)MgAg3 trigonal pyramid. In the twelfth O site, O(12) is bonded to one Mg(4), one Mg(5), one Ag(4), and one Ag(8) atom to form distorted OMg2Ag2 tetrahedra that share  a cornercorner with one O(12)Mg2Ag2 tetrahedra, corners with two equivalent O(10)Mg2Ag2 tetrahedra, corners with three equivalent O(4)Mg2Ag2 tetrahedra,  a cornercorner with one O(11)MgAg3 trigonal pyramid,  a cornercorner with one O(15)MgAg3 trigonal pyramid,  a cornercorner with one O(18)MgAg3 trigonal pyramid,  a cornercorner with one O(9)MgAg3 trigonal pyramid, corners with two equivalent O(6)MgAg3 trigonal pyramids,  an edgeedge with one O(12)Mg2Ag2 tetrahedra,  an edgeedge with one O(11)MgAg3 trigonal pyramid, and  an edgeedge with one O(14)MgAg3 trigonal pyramid. In the thirteenth O site, O(13) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Mg(6), and two equivalent Ag(6) atoms. In the fourteenth O site, O(14) is bonded to one Mg(5), one Ag(7), and two equivalent Ag(4) atoms to form distorted OMgAg3 trigonal pyramids that share corners with two equivalent O(7)Mg2Ag2 tetrahedra, corners with four equivalent O(4)Mg2Ag2 tetrahedra,  a cornercorner with one O(5)MgAg3 trigonal pyramid, corners with two equivalent O(9)MgAg3 trigonal pyramids, corners with three equivalent O(6)MgAg3 trigonal pyramids, edges with two equivalent O(12)Mg2Ag2 tetrahedra, and  an edgeedge with one O(11)MgAg3 trigonal pyramid. In the fifteenth O site, O(15) is bonded to one Mg(4), one Ag(5), and two equivalent Ag(6) atoms to form distorted OMgAg3 trigonal pyramids that share corners with two equivalent O(10)Mg2Ag2 tetrahedra, corners with two equivalent O(12)Mg2Ag2 tetrahedra, corners with two equivalent O(17)MgAg3 tetrahedra,  a cornercorner with one O(11)MgAg3 trigonal pyramid,  a cornercorner with one O(6)MgAg3 trigonal pyramid, corners with two equivalent O(16)Ag4 trigonal pyramids, corners with two equivalent O(18)MgAg3 trigonal pyramids, and edges with two equivalent O(10)Mg2Ag2 tetrahedra. In the sixteenth O site, O(16) is bonded to one Ag(3), one Ag(9), and two equivalent Ag(6) atoms to form distorted OAg4 trigonal pyramids that share corners with two equivalent O(10)Mg2Ag2 tetrahedra, corners with two equivalent O(17)MgAg3 tetrahedra,  a cornercorner with one O(8)MgAg3 trigonal pyramid, corners with two equivalent O(15)MgAg3 trigonal pyramids, edges with two equivalent O(17)MgAg3 tetrahedra, and  an edgeedge with one O(18)MgAg3 trigonal pyramid. In the seventeenth O site, O(17) is bonded to one Mg(6), one Ag(3), one Ag(6), and one Ag(9) atom to form distorted OMgAg3 tetrahedra that share  a cornercorner with one O(17)MgAg3 tetrahedra, corners with three equivalent O(10)Mg2Ag2 tetrahedra,  a cornercorner with one O(16)Ag4 trigonal pyramid,  a cornercorner with one O(15)MgAg3 trigonal pyramid,  a cornercorner with one O(8)MgAg3 trigonal pyramid,  an edgeedge with one O(17)MgAg3 tetrahedra,  an edgeedge with one O(16)Ag4 trigonal pyramid, and  an edgeedge with one O(18)MgAg3 trigonal pyramid. In the eighteenth O site, O(18) is bonded to one Mg(6), one Ag(8), and two equivalent Ag(6) atoms to form distorted OMgAg3 trigonal pyramids that share corners with two equivalent O(12)Mg2Ag2 tetrahedra, corners with four equivalent O(10)Mg2Ag2 tetrahedra,  a cornercorner with one O(11)MgAg3 trigonal pyramid, corners with two equivalent O(15)MgAg3 trigonal pyramids, edges with two equivalent O(17)MgAg3 tetrahedra, and  an edgeedge with one O(16)Ag4 trigonal pyramid.