MgAg14(PbO3)6 crystallizes in the triclinic P1 space group. Mg(1) is bonded to one O(13), one O(15), one O(16), and one O(9) atom to form distorted MgO4 trigonal pyramids that share  a cornercorner with one Pb(2)O6 octahedra,  a cornercorner with one Pb(5)O6 octahedra, and  a faceface with one Pb(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-54°. There are fourteen inequivalent Ag sites. In the first Ag site, Ag(1) is bonded in a linear geometry to one O(1) and one O(3) atom. In the second Ag site, Ag(2) is bonded in a linear geometry to one O(4) and one O(7) atom. In the third Ag site, Ag(3) is bonded in a linear geometry to one O(5) and one O(6) atom. In the fourth Ag site, Ag(4) is bonded in a linear geometry to one O(13) and one O(8) atom. In the fifth Ag site, Ag(5) is bonded in a distorted trigonal non-coplanar geometry to one O(18), one O(4), and one O(5) atom. In the sixth Ag site, Ag(6) is bonded in a trigonal planar geometry to one O(17), one O(6), and one O(7) atom. In the seventh Ag site, Ag(7) is bonded in a trigonal non-coplanar geometry to one O(11), one O(13), and one O(2) atom. In the eighth Ag site, Ag(8) is bonded in a linear geometry to one O(10) and one O(14) atom. In the ninth Ag site, Ag(9) is bonded in a trigonal planar geometry to one O(10), one O(12), and one O(3) atom. In the tenth Ag site, Ag(10) is bonded in a bent 120 degrees geometry to one O(1) and one O(14) atom. In the eleventh Ag site, Ag(11) is bonded in a linear geometry to one O(11) and one O(9) atom. In the twelfth Ag site, Ag(12) is bonded in a linear geometry to one O(12) and one O(15) atom. In the thirteenth Ag site, Ag(13) is bonded in a linear geometry to one O(17) and one O(18) atom. In the fourteenth Ag site, Ag(14) is bonded in a linear geometry to one O(16) and one O(2) atom. There are six inequivalent Pb sites. In the first Pb site, Pb(1) is bonded to one O(1), one O(10), one O(2), one O(4), one O(6), and one O(8) atom to form edge-sharing PbO6 octahedra. In the second Pb site, Pb(2) is bonded to one O(1), one O(12), one O(2), one O(5), one O(7), and one O(9) atom to form PbO6 octahedra that share  a cornercorner with one Mg(1)O4 trigonal pyramid,  an edgeedge with one Pb(1)O6 octahedra, and  an edgeedge with one Pb(5)O6 octahedra. In the third Pb site, Pb(3) is bonded to one O(11), one O(14), one O(17), one O(3), one O(4), and one O(8) atom to form edge-sharing PbO6 octahedra. In the fourth Pb site, Pb(4) is bonded in a 6-coordinate geometry to one O(13), one O(15), one O(17), one O(3), one O(5), and one O(9) atom. In the fifth Pb site, Pb(5) is bonded to one O(11), one O(12), one O(14), one O(16), one O(18), and one O(7) atom to form PbO6 octahedra that share  a cornercorner with one Mg(1)O4 trigonal pyramid,  an edgeedge with one Pb(2)O6 octahedra,  an edgeedge with one Pb(3)O6 octahedra, and  an edgeedge with one Pb(6)O6 octahedra. In the sixth Pb site, Pb(6) is bonded to one O(10), one O(13), one O(15), one O(16), one O(18), and one O(6) atom to form distorted PbO6 octahedra that share  an edgeedge with one Pb(1)O6 octahedra,  an edgeedge with one Pb(5)O6 octahedra, and  a faceface with one Mg(1)O4 trigonal pyramid. There are eighteen inequivalent O sites. In the first O site, O(1) is bonded to one Ag(1), one Ag(10), one Pb(1), and one Pb(2) atom to form a mixture of corner and edge-sharing OAg2Pb2 tetrahedra. In the second O site, O(2) is bonded to one Ag(14), one Ag(7), one Pb(1), and one Pb(2) atom to form OAg2Pb2 tetrahedra that share  a cornercorner with one O(10)Ag2Pb2 tetrahedra,  a cornercorner with one O(11)Ag2Pb2 tetrahedra,  a cornercorner with one O(12)Ag2Pb2 tetrahedra,  a cornercorner with one O(4)Ag2Pb2 tetrahedra,  a cornercorner with one O(5)Ag2Pb2 tetrahedra,  a cornercorner with one O(6)Ag2Pb2 tetrahedra,  a cornercorner with one O(7)Ag2Pb2 tetrahedra,  a cornercorner with one O(16)MgAgPb2 tetrahedra,  a cornercorner with one O(13)MgAg2Pb2 trigonal bipyramid, and  an edgeedge with one O(1)Ag2Pb2 tetrahedra. In the third O site, O(3) is bonded to one Ag(1), one Ag(9), one Pb(3), and one Pb(4) atom to form OAg2Pb2 tetrahedra that share  a cornercorner with one O(1)Ag2Pb2 tetrahedra,  a cornercorner with one O(10)Ag2Pb2 tetrahedra,  a cornercorner with one O(11)Ag2Pb2 tetrahedra,  a cornercorner with one O(12)Ag2Pb2 tetrahedra,  a cornercorner with one O(14)Ag2Pb2 tetrahedra,  a cornercorner with one O(4)Ag2Pb2 tetrahedra,  a cornercorner with one O(5)Ag2Pb2 tetrahedra,  a cornercorner with one O(13)MgAg2Pb2 trigonal bipyramid,  a cornercorner with one O(15)MgAgPb2 trigonal pyramid, and  an edgeedge with one O(17)Ag2Pb2 tetrahedra. In the fourth O site, O(4) is bonded to one Ag(2), one Ag(5), one Pb(1), and one Pb(3) atom to form corner-sharing OAg2Pb2 tetrahedra. In the fifth O site, O(5) is bonded to one Ag(3), one Ag(5), one Pb(2), and one Pb(4) atom to form OAg2Pb2 tetrahedra that share  a cornercorner with one O(1)Ag2Pb2 tetrahedra,  a cornercorner with one O(12)Ag2Pb2 tetrahedra,  a cornercorner with one O(17)Ag2Pb2 tetrahedra,  a cornercorner with one O(18)Ag2Pb2 tetrahedra,  a cornercorner with one O(2)Ag2Pb2 tetrahedra,  a cornercorner with one O(3)Ag2Pb2 tetrahedra,  a cornercorner with one O(4)Ag2Pb2 tetrahedra,  a cornercorner with one O(6)Ag2Pb2 tetrahedra,  a cornercorner with one O(7)Ag2Pb2 tetrahedra,  a cornercorner with one O(13)MgAg2Pb2 trigonal bipyramid, and  a cornercorner with one O(15)MgAgPb2 trigonal pyramid. In the sixth O site, O(6) is bonded to one Ag(3), one Ag(6), one Pb(1), and one Pb(6) atom to form OAg2Pb2 tetrahedra that share  a cornercorner with one O(1)Ag2Pb2 tetrahedra,  a cornercorner with one O(17)Ag2Pb2 tetrahedra,  a cornercorner with one O(18)Ag2Pb2 tetrahedra,  a cornercorner with one O(2)Ag2Pb2 tetrahedra,  a cornercorner with one O(4)Ag2Pb2 tetrahedra,  a cornercorner with one O(5)Ag2Pb2 tetrahedra,  a cornercorner with one O(7)Ag2Pb2 tetrahedra,  a cornercorner with one O(16)MgAgPb2 tetrahedra,  a cornercorner with one O(13)MgAg2Pb2 trigonal bipyramid,  a cornercorner with one O(15)MgAgPb2 trigonal pyramid, and  an edgeedge with one O(10)Ag2Pb2 tetrahedra. In the seventh O site, O(7) is bonded to one Ag(2), one Ag(6), one Pb(2), and one Pb(5) atom to form OAg2Pb2 tetrahedra that share  a cornercorner with one O(1)Ag2Pb2 tetrahedra,  a cornercorner with one O(11)Ag2Pb2 tetrahedra,  a cornercorner with one O(14)Ag2Pb2 tetrahedra,  a cornercorner with one O(17)Ag2Pb2 tetrahedra,  a cornercorner with one O(18)Ag2Pb2 tetrahedra,  a cornercorner with one O(2)Ag2Pb2 tetrahedra,  a cornercorner with one O(4)Ag2Pb2 tetrahedra,  a cornercorner with one O(5)Ag2Pb2 tetrahedra,  a cornercorner with one O(6)Ag2Pb2 tetrahedra,  a cornercorner with one O(16)MgAgPb2 tetrahedra, and  an edgeedge with one O(12)Ag2Pb2 tetrahedra. In the eighth O site, O(8) is bonded in a trigonal non-coplanar geometry to one Ag(4), one Pb(1), and one Pb(3) atom. In the ninth O site, O(9) is bonded in a 4-coordinate geometry to one Mg(1), one Ag(11), one Pb(2), and one Pb(4) atom. In the tenth O site, O(10) is bonded to one Ag(8), one Ag(9), one Pb(1), and one Pb(6) atom to form OAg2Pb2 tetrahedra that share  a cornercorner with one O(1)Ag2Pb2 tetrahedra,  a cornercorner with one O(12)Ag2Pb2 tetrahedra,  a cornercorner with one O(14)Ag2Pb2 tetrahedra,  a cornercorner with one O(18)Ag2Pb2 tetrahedra,  a cornercorner with one O(2)Ag2Pb2 tetrahedra,  a cornercorner with one O(3)Ag2Pb2 tetrahedra,  a cornercorner with one O(4)Ag2Pb2 tetrahedra,  a cornercorner with one O(16)MgAgPb2 tetrahedra,  a cornercorner with one O(13)MgAg2Pb2 trigonal bipyramid,  a cornercorner with one O(15)MgAgPb2 trigonal pyramid, and  an edgeedge with one O(6)Ag2Pb2 tetrahedra. In the eleventh O site, O(11) is bonded to one Ag(11), one Ag(7), one Pb(3), and one Pb(5) atom to form OAg2Pb2 tetrahedra that share  a cornercorner with one O(12)Ag2Pb2 tetrahedra,  a cornercorner with one O(17)Ag2Pb2 tetrahedra,  a cornercorner with one O(18)Ag2Pb2 tetrahedra,  a cornercorner with one O(2)Ag2Pb2 tetrahedra,  a cornercorner with one O(3)Ag2Pb2 tetrahedra,  a cornercorner with one O(4)Ag2Pb2 tetrahedra,  a cornercorner with one O(7)Ag2Pb2 tetrahedra,  a cornercorner with one O(16)MgAgPb2 tetrahedra,  a cornercorner with one O(13)MgAg2Pb2 trigonal bipyramid, and  an edgeedge with one O(14)Ag2Pb2 tetrahedra. In the twelfth O site, O(12) is bonded to one Ag(12), one Ag(9), one Pb(2), and one Pb(5) atom to form OAg2Pb2 tetrahedra that share  a cornercorner with one O(1)Ag2Pb2 tetrahedra,  a cornercorner with one O(10)Ag2Pb2 tetrahedra,  a cornercorner with one O(11)Ag2Pb2 tetrahedra,  a cornercorner with one O(14)Ag2Pb2 tetrahedra,  a cornercorner with one O(18)Ag2Pb2 tetrahedra,  a cornercorner with one O(2)Ag2Pb2 tetrahedra,  a cornercorner with one O(3)Ag2Pb2 tetrahedra,  a cornercorner with one O(5)Ag2Pb2 tetrahedra,  a cornercorner with one O(16)MgAgPb2 tetrahedra,  a cornercorner with one O(15)MgAgPb2 trigonal pyramid, and  an edgeedge with one O(7)Ag2Pb2 tetrahedra. In the thirteenth O site, O(13) is bonded to one Mg(1), one Ag(4), one Ag(7), one Pb(4), and one Pb(6) atom to form distorted OMgAg2Pb2 trigonal bipyramids that share  a cornercorner with one O(10)Ag2Pb2 tetrahedra,  a cornercorner with one O(11)Ag2Pb2 tetrahedra,  a cornercorner with one O(17)Ag2Pb2 tetrahedra,  a cornercorner with one O(18)Ag2Pb2 tetrahedra,  a cornercorner with one O(2)Ag2Pb2 tetrahedra,  a cornercorner with one O(3)Ag2Pb2 tetrahedra,  a cornercorner with one O(5)Ag2Pb2 tetrahedra,  a cornercorner with one O(6)Ag2Pb2 tetrahedra,  an edgeedge with one O(16)MgAgPb2 tetrahedra, and  a faceface with one O(15)MgAgPb2 trigonal pyramid. In the fourteenth O site, O(14) is bonded to one Ag(10), one Ag(8), one Pb(3), and one Pb(5) atom to form OAg2Pb2 tetrahedra that share  a cornercorner with one O(1)Ag2Pb2 tetrahedra,  a cornercorner with one O(10)Ag2Pb2 tetrahedra,  a cornercorner with one O(12)Ag2Pb2 tetrahedra,  a cornercorner with one O(17)Ag2Pb2 tetrahedra,  a cornercorner with one O(18)Ag2Pb2 tetrahedra,  a cornercorner with one O(3)Ag2Pb2 tetrahedra,  a cornercorner with one O(4)Ag2Pb2 tetrahedra,  a cornercorner with one O(7)Ag2Pb2 tetrahedra,  a cornercorner with one O(16)MgAgPb2 tetrahedra, and  an edgeedge with one O(11)Ag2Pb2 tetrahedra. In the fifteenth O site, O(15) is bonded to one Mg(1), one Ag(12), one Pb(4), and one Pb(6) atom to form distorted OMgAgPb2 trigonal pyramids that share  a cornercorner with one O(10)Ag2Pb2 tetrahedra,  a cornercorner with one O(12)Ag2Pb2 tetrahedra,  a cornercorner with one O(17)Ag2Pb2 tetrahedra,  a cornercorner with one O(18)Ag2Pb2 tetrahedra,  a cornercorner with one O(3)Ag2Pb2 tetrahedra,  a cornercorner with one O(5)Ag2Pb2 tetrahedra,  a cornercorner with one O(6)Ag2Pb2 tetrahedra,  an edgeedge with one O(16)MgAgPb2 tetrahedra, and  a faceface with one O(13)MgAg2Pb2 trigonal bipyramid. In the sixteenth O site, O(16) is bonded to one Mg(1), one Ag(14), one Pb(5), and one Pb(6) atom to form distorted OMgAgPb2 tetrahedra that share  a cornercorner with one O(10)Ag2Pb2 tetrahedra,  a cornercorner with one O(11)Ag2Pb2 tetrahedra,  a cornercorner with one O(12)Ag2Pb2 tetrahedra,  a cornercorner with one O(14)Ag2Pb2 tetrahedra,  a cornercorner with one O(2)Ag2Pb2 tetrahedra,  a cornercorner with one O(6)Ag2Pb2 tetrahedra,  a cornercorner with one O(7)Ag2Pb2 tetrahedra,  an edgeedge with one O(18)Ag2Pb2 tetrahedra,  an edgeedge with one O(13)MgAg2Pb2 trigonal bipyramid, and  an edgeedge with one O(15)MgAgPb2 trigonal pyramid. In the seventeenth O site, O(17) is bonded to one Ag(13), one Ag(6), one Pb(3), and one Pb(4) atom to form OAg2Pb2 tetrahedra that share  a cornercorner with one O(11)Ag2Pb2 tetrahedra,  a cornercorner with one O(14)Ag2Pb2 tetrahedra,  a cornercorner with one O(18)Ag2Pb2 tetrahedra,  a cornercorner with one O(4)Ag2Pb2 tetrahedra,  a cornercorner with one O(5)Ag2Pb2 tetrahedra,  a cornercorner with one O(6)Ag2Pb2 tetrahedra,  a cornercorner with one O(7)Ag2Pb2 tetrahedra,  a cornercorner with one O(13)MgAg2Pb2 trigonal bipyramid,  a cornercorner with one O(15)MgAgPb2 trigonal pyramid, and  an edgeedge with one O(3)Ag2Pb2 tetrahedra. In the eighteenth O site, O(18) is bonded to one Ag(13), one Ag(5), one Pb(5), and one Pb(6) atom to form OAg2Pb2 tetrahedra that share  a cornercorner with one O(10)Ag2Pb2 tetrahedra,  a cornercorner with one O(11)Ag2Pb2 tetrahedra,  a cornercorner with one O(12)Ag2Pb2 tetrahedra,  a cornercorner with one O(14)Ag2Pb2 tetrahedra,  a cornercorner with one O(17)Ag2Pb2 tetrahedra,  a cornercorner with one O(4)Ag2Pb2 tetrahedra,  a cornercorner with one O(5)Ag2Pb2 tetrahedra,  a cornercorner with one O(6)Ag2Pb2 tetrahedra,  a cornercorner with one O(7)Ag2Pb2 tetrahedra,  a cornercorner with one O(13)MgAg2Pb2 trigonal bipyramid,  a cornercorner with one O(15)MgAgPb2 trigonal pyramid, and  an edgeedge with one O(16)MgAgPb2 tetrahedra.
MgAg14(PbO3)6 crystallizes in the triclinic P1 space group. Mg(1) is bonded to one O(13), one O(15), one O(16), and one O(9) atom to form distorted MgO4 trigonal pyramids that share  a cornercorner with one Pb(2)O6 octahedra,  a cornercorner with one Pb(5)O6 octahedra, and  a faceface with one Pb(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-54°. The Mg(1)-O(13) bond length is 2.12 Å. The Mg(1)-O(15) bond length is 2.20 Å. The Mg(1)-O(16) bond length is 2.01 Å. The Mg(1)-O(9) bond length is 1.97 Å. There are fourteen inequivalent Ag sites. In the first Ag site, Ag(1) is bonded in a linear geometry to one O(1) and one O(3) atom. The Ag(1)-O(1) bond length is 2.14 Å. The Ag(1)-O(3) bond length is 2.14 Å. In the second Ag site, Ag(2) is bonded in a linear geometry to one O(4) and one O(7) atom. The Ag(2)-O(4) bond length is 2.14 Å. The Ag(2)-O(7) bond length is 2.13 Å. In the third Ag site, Ag(3) is bonded in a linear geometry to one O(5) and one O(6) atom. The Ag(3)-O(5) bond length is 2.13 Å. The Ag(3)-O(6) bond length is 2.14 Å. In the fourth Ag site, Ag(4) is bonded in a linear geometry to one O(13) and one O(8) atom. The Ag(4)-O(13) bond length is 2.21 Å. The Ag(4)-O(8) bond length is 2.17 Å. In the fifth Ag site, Ag(5) is bonded in a distorted trigonal non-coplanar geometry to one O(18), one O(4), and one O(5) atom. The Ag(5)-O(18) bond length is 2.37 Å. The Ag(5)-O(4) bond length is 2.32 Å. The Ag(5)-O(5) bond length is 2.30 Å. In the sixth Ag site, Ag(6) is bonded in a trigonal planar geometry to one O(17), one O(6), and one O(7) atom. The Ag(6)-O(17) bond length is 2.30 Å. The Ag(6)-O(6) bond length is 2.37 Å. The Ag(6)-O(7) bond length is 2.32 Å. In the seventh Ag site, Ag(7) is bonded in a trigonal non-coplanar geometry to one O(11), one O(13), and one O(2) atom. The Ag(7)-O(11) bond length is 2.36 Å. The Ag(7)-O(13) bond length is 2.38 Å. The Ag(7)-O(2) bond length is 2.34 Å. In the eighth Ag site, Ag(8) is bonded in a linear geometry to one O(10) and one O(14) atom. The Ag(8)-O(10) bond length is 2.14 Å. The Ag(8)-O(14) bond length is 2.14 Å. In the ninth Ag site, Ag(9) is bonded in a trigonal planar geometry to one O(10), one O(12), and one O(3) atom. The Ag(9)-O(10) bond length is 2.27 Å. The Ag(9)-O(12) bond length is 2.35 Å. The Ag(9)-O(3) bond length is 2.27 Å. In the tenth Ag site, Ag(10) is bonded in a bent 120 degrees geometry to one O(1) and one O(14) atom. The Ag(10)-O(1) bond length is 2.29 Å. The Ag(10)-O(14) bond length is 2.31 Å. In the eleventh Ag site, Ag(11) is bonded in a linear geometry to one O(11) and one O(9) atom. The Ag(11)-O(11) bond length is 2.18 Å. The Ag(11)-O(9) bond length is 2.17 Å. In the twelfth Ag site, Ag(12) is bonded in a linear geometry to one O(12) and one O(15) atom. The Ag(12)-O(12) bond length is 2.12 Å. The Ag(12)-O(15) bond length is 2.09 Å. In the thirteenth Ag site, Ag(13) is bonded in a linear geometry to one O(17) and one O(18) atom. The Ag(13)-O(17) bond length is 2.14 Å. The Ag(13)-O(18) bond length is 2.16 Å. In the fourteenth Ag site, Ag(14) is bonded in a linear geometry to one O(16) and one O(2) atom. The Ag(14)-O(16) bond length is 2.17 Å. The Ag(14)-O(2) bond length is 2.17 Å. There are six inequivalent Pb sites. In the first Pb site, Pb(1) is bonded to one O(1), one O(10), one O(2), one O(4), one O(6), and one O(8) atom to form edge-sharing PbO6 octahedra. The Pb(1)-O(1) bond length is 2.29 Å. The Pb(1)-O(10) bond length is 2.36 Å. The Pb(1)-O(2) bond length is 2.30 Å. The Pb(1)-O(4) bond length is 2.29 Å. The Pb(1)-O(6) bond length is 2.31 Å. The Pb(1)-O(8) bond length is 2.27 Å. In the second Pb site, Pb(2) is bonded to one O(1), one O(12), one O(2), one O(5), one O(7), and one O(9) atom to form PbO6 octahedra that share  a cornercorner with one Mg(1)O4 trigonal pyramid,  an edgeedge with one Pb(1)O6 octahedra, and  an edgeedge with one Pb(5)O6 octahedra. The Pb(2)-O(1) bond length is 2.31 Å. The Pb(2)-O(12) bond length is 2.28 Å. The Pb(2)-O(2) bond length is 2.30 Å. The Pb(2)-O(5) bond length is 2.25 Å. The Pb(2)-O(7) bond length is 2.31 Å. The Pb(2)-O(9) bond length is 2.26 Å. In the third Pb site, Pb(3) is bonded to one O(11), one O(14), one O(17), one O(3), one O(4), and one O(8) atom to form edge-sharing PbO6 octahedra. The Pb(3)-O(11) bond length is 2.28 Å. The Pb(3)-O(14) bond length is 2.28 Å. The Pb(3)-O(17) bond length is 2.27 Å. The Pb(3)-O(3) bond length is 2.27 Å. The Pb(3)-O(4) bond length is 2.29 Å. The Pb(3)-O(8) bond length is 2.25 Å. In the fourth Pb site, Pb(4) is bonded in a 6-coordinate geometry to one O(13), one O(15), one O(17), one O(3), one O(5), and one O(9) atom. The Pb(4)-O(13) bond length is 2.64 Å. The Pb(4)-O(15) bond length is 2.43 Å. The Pb(4)-O(17) bond length is 2.35 Å. The Pb(4)-O(3) bond length is 2.36 Å. The Pb(4)-O(5) bond length is 2.40 Å. The Pb(4)-O(9) bond length is 2.62 Å. In the fifth Pb site, Pb(5) is bonded to one O(11), one O(12), one O(14), one O(16), one O(18), and one O(7) atom to form PbO6 octahedra that share  a cornercorner with one Mg(1)O4 trigonal pyramid,  an edgeedge with one Pb(2)O6 octahedra,  an edgeedge with one Pb(3)O6 octahedra, and  an edgeedge with one Pb(6)O6 octahedra. The Pb(5)-O(11) bond length is 2.28 Å. The Pb(5)-O(12) bond length is 2.25 Å. The Pb(5)-O(14) bond length is 2.28 Å. The Pb(5)-O(16) bond length is 2.28 Å. The Pb(5)-O(18) bond length is 2.28 Å. The Pb(5)-O(7) bond length is 2.29 Å. In the sixth Pb site, Pb(6) is bonded to one O(10), one O(13), one O(15), one O(16), one O(18), and one O(6) atom to form distorted PbO6 octahedra that share  an edgeedge with one Pb(1)O6 octahedra,  an edgeedge with one Pb(5)O6 octahedra, and  a faceface with one Mg(1)O4 trigonal pyramid. The Pb(6)-O(10) bond length is 2.24 Å. The Pb(6)-O(13) bond length is 2.33 Å. The Pb(6)-O(15) bond length is 2.27 Å. The Pb(6)-O(16) bond length is 2.42 Å. The Pb(6)-O(18) bond length is 2.26 Å. The Pb(6)-O(6) bond length is 2.24 Å. There are eighteen inequivalent O sites. In the first O site, O(1) is bonded to one Ag(1), one Ag(10), one Pb(1), and one Pb(2) atom to form a mixture of corner and edge-sharing OAg2Pb2 tetrahedra. In the second O site, O(2) is bonded to one Ag(14), one Ag(7), one Pb(1), and one Pb(2) atom to form OAg2Pb2 tetrahedra that share  a cornercorner with one O(10)Ag2Pb2 tetrahedra,  a cornercorner with one O(11)Ag2Pb2 tetrahedra,  a cornercorner with one O(12)Ag2Pb2 tetrahedra,  a cornercorner with one O(4)Ag2Pb2 tetrahedra,  a cornercorner with one O(5)Ag2Pb2 tetrahedra,  a cornercorner with one O(6)Ag2Pb2 tetrahedra,  a cornercorner with one O(7)Ag2Pb2 tetrahedra,  a cornercorner with one O(16)MgAgPb2 tetrahedra,  a cornercorner with one O(13)MgAg2Pb2 trigonal bipyramid, and  an edgeedge with one O(1)Ag2Pb2 tetrahedra. In the third O site, O(3) is bonded to one Ag(1), one Ag(9), one Pb(3), and one Pb(4) atom to form OAg2Pb2 tetrahedra that share  a cornercorner with one O(1)Ag2Pb2 tetrahedra,  a cornercorner with one O(10)Ag2Pb2 tetrahedra,  a cornercorner with one O(11)Ag2Pb2 tetrahedra,  a cornercorner with one O(12)Ag2Pb2 tetrahedra,  a cornercorner with one O(14)Ag2Pb2 tetrahedra,  a cornercorner with one O(4)Ag2Pb2 tetrahedra,  a cornercorner with one O(5)Ag2Pb2 tetrahedra,  a cornercorner with one O(13)MgAg2Pb2 trigonal bipyramid,  a cornercorner with one O(15)MgAgPb2 trigonal pyramid, and  an edgeedge with one O(17)Ag2Pb2 tetrahedra. In the fourth O site, O(4) is bonded to one Ag(2), one Ag(5), one Pb(1), and one Pb(3) atom to form corner-sharing OAg2Pb2 tetrahedra. In the fifth O site, O(5) is bonded to one Ag(3), one Ag(5), one Pb(2), and one Pb(4) atom to form OAg2Pb2 tetrahedra that share  a cornercorner with one O(1)Ag2Pb2 tetrahedra,  a cornercorner with one O(12)Ag2Pb2 tetrahedra,  a cornercorner with one O(17)Ag2Pb2 tetrahedra,  a cornercorner with one O(18)Ag2Pb2 tetrahedra,  a cornercorner with one O(2)Ag2Pb2 tetrahedra,  a cornercorner with one O(3)Ag2Pb2 tetrahedra,  a cornercorner with one O(4)Ag2Pb2 tetrahedra,  a cornercorner with one O(6)Ag2Pb2 tetrahedra,  a cornercorner with one O(7)Ag2Pb2 tetrahedra,  a cornercorner with one O(13)MgAg2Pb2 trigonal bipyramid, and  a cornercorner with one O(15)MgAgPb2 trigonal pyramid. In the sixth O site, O(6) is bonded to one Ag(3), one Ag(6), one Pb(1), and one Pb(6) atom to form OAg2Pb2 tetrahedra that share  a cornercorner with one O(1)Ag2Pb2 tetrahedra,  a cornercorner with one O(17)Ag2Pb2 tetrahedra,  a cornercorner with one O(18)Ag2Pb2 tetrahedra,  a cornercorner with one O(2)Ag2Pb2 tetrahedra,  a cornercorner with one O(4)Ag2Pb2 tetrahedra,  a cornercorner with one O(5)Ag2Pb2 tetrahedra,  a cornercorner with one O(7)Ag2Pb2 tetrahedra,  a cornercorner with one O(16)MgAgPb2 tetrahedra,  a cornercorner with one O(13)MgAg2Pb2 trigonal bipyramid,  a cornercorner with one O(15)MgAgPb2 trigonal pyramid, and  an edgeedge with one O(10)Ag2Pb2 tetrahedra. In the seventh O site, O(7) is bonded to one Ag(2), one Ag(6), one Pb(2), and one Pb(5) atom to form OAg2Pb2 tetrahedra that share  a cornercorner with one O(1)Ag2Pb2 tetrahedra,  a cornercorner with one O(11)Ag2Pb2 tetrahedra,  a cornercorner with one O(14)Ag2Pb2 tetrahedra,  a cornercorner with one O(17)Ag2Pb2 tetrahedra,  a cornercorner with one O(18)Ag2Pb2 tetrahedra,  a cornercorner with one O(2)Ag2Pb2 tetrahedra,  a cornercorner with one O(4)Ag2Pb2 tetrahedra,  a cornercorner with one O(5)Ag2Pb2 tetrahedra,  a cornercorner with one O(6)Ag2Pb2 tetrahedra,  a cornercorner with one O(16)MgAgPb2 tetrahedra, and  an edgeedge with one O(12)Ag2Pb2 tetrahedra. In the eighth O site, O(8) is bonded in a trigonal non-coplanar geometry to one Ag(4), one Pb(1), and one Pb(3) atom. In the ninth O site, O(9) is bonded in a 4-coordinate geometry to one Mg(1), one Ag(11), one Pb(2), and one Pb(4) atom. In the tenth O site, O(10) is bonded to one Ag(8), one Ag(9), one Pb(1), and one Pb(6) atom to form OAg2Pb2 tetrahedra that share  a cornercorner with one O(1)Ag2Pb2 tetrahedra,  a cornercorner with one O(12)Ag2Pb2 tetrahedra,  a cornercorner with one O(14)Ag2Pb2 tetrahedra,  a cornercorner with one O(18)Ag2Pb2 tetrahedra,  a cornercorner with one O(2)Ag2Pb2 tetrahedra,  a cornercorner with one O(3)Ag2Pb2 tetrahedra,  a cornercorner with one O(4)Ag2Pb2 tetrahedra,  a cornercorner with one O(16)MgAgPb2 tetrahedra,  a cornercorner with one O(13)MgAg2Pb2 trigonal bipyramid,  a cornercorner with one O(15)MgAgPb2 trigonal pyramid, and  an edgeedge with one O(6)Ag2Pb2 tetrahedra. In the eleventh O site, O(11) is bonded to one Ag(11), one Ag(7), one Pb(3), and one Pb(5) atom to form OAg2Pb2 tetrahedra that share  a cornercorner with one O(12)Ag2Pb2 tetrahedra,  a cornercorner with one O(17)Ag2Pb2 tetrahedra,  a cornercorner with one O(18)Ag2Pb2 tetrahedra,  a cornercorner with one O(2)Ag2Pb2 tetrahedra,  a cornercorner with one O(3)Ag2Pb2 tetrahedra,  a cornercorner with one O(4)Ag2Pb2 tetrahedra,  a cornercorner with one O(7)Ag2Pb2 tetrahedra,  a cornercorner with one O(16)MgAgPb2 tetrahedra,  a cornercorner with one O(13)MgAg2Pb2 trigonal bipyramid, and  an edgeedge with one O(14)Ag2Pb2 tetrahedra. In the twelfth O site, O(12) is bonded to one Ag(12), one Ag(9), one Pb(2), and one Pb(5) atom to form OAg2Pb2 tetrahedra that share  a cornercorner with one O(1)Ag2Pb2 tetrahedra,  a cornercorner with one O(10)Ag2Pb2 tetrahedra,  a cornercorner with one O(11)Ag2Pb2 tetrahedra,  a cornercorner with one O(14)Ag2Pb2 tetrahedra,  a cornercorner with one O(18)Ag2Pb2 tetrahedra,  a cornercorner with one O(2)Ag2Pb2 tetrahedra,  a cornercorner with one O(3)Ag2Pb2 tetrahedra,  a cornercorner with one O(5)Ag2Pb2 tetrahedra,  a cornercorner with one O(16)MgAgPb2 tetrahedra,  a cornercorner with one O(15)MgAgPb2 trigonal pyramid, and  an edgeedge with one O(7)Ag2Pb2 tetrahedra. In the thirteenth O site, O(13) is bonded to one Mg(1), one Ag(4), one Ag(7), one Pb(4), and one Pb(6) atom to form distorted OMgAg2Pb2 trigonal bipyramids that share  a cornercorner with one O(10)Ag2Pb2 tetrahedra,  a cornercorner with one O(11)Ag2Pb2 tetrahedra,  a cornercorner with one O(17)Ag2Pb2 tetrahedra,  a cornercorner with one O(18)Ag2Pb2 tetrahedra,  a cornercorner with one O(2)Ag2Pb2 tetrahedra,  a cornercorner with one O(3)Ag2Pb2 tetrahedra,  a cornercorner with one O(5)Ag2Pb2 tetrahedra,  a cornercorner with one O(6)Ag2Pb2 tetrahedra,  an edgeedge with one O(16)MgAgPb2 tetrahedra, and  a faceface with one O(15)MgAgPb2 trigonal pyramid. In the fourteenth O site, O(14) is bonded to one Ag(10), one Ag(8), one Pb(3), and one Pb(5) atom to form OAg2Pb2 tetrahedra that share  a cornercorner with one O(1)Ag2Pb2 tetrahedra,  a cornercorner with one O(10)Ag2Pb2 tetrahedra,  a cornercorner with one O(12)Ag2Pb2 tetrahedra,  a cornercorner with one O(17)Ag2Pb2 tetrahedra,  a cornercorner with one O(18)Ag2Pb2 tetrahedra,  a cornercorner with one O(3)Ag2Pb2 tetrahedra,  a cornercorner with one O(4)Ag2Pb2 tetrahedra,  a cornercorner with one O(7)Ag2Pb2 tetrahedra,  a cornercorner with one O(16)MgAgPb2 tetrahedra, and  an edgeedge with one O(11)Ag2Pb2 tetrahedra. In the fifteenth O site, O(15) is bonded to one Mg(1), one Ag(12), one Pb(4), and one Pb(6) atom to form distorted OMgAgPb2 trigonal pyramids that share  a cornercorner with one O(10)Ag2Pb2 tetrahedra,  a cornercorner with one O(12)Ag2Pb2 tetrahedra,  a cornercorner with one O(17)Ag2Pb2 tetrahedra,  a cornercorner with one O(18)Ag2Pb2 tetrahedra,  a cornercorner with one O(3)Ag2Pb2 tetrahedra,  a cornercorner with one O(5)Ag2Pb2 tetrahedra,  a cornercorner with one O(6)Ag2Pb2 tetrahedra,  an edgeedge with one O(16)MgAgPb2 tetrahedra, and  a faceface with one O(13)MgAg2Pb2 trigonal bipyramid. In the sixteenth O site, O(16) is bonded to one Mg(1), one Ag(14), one Pb(5), and one Pb(6) atom to form distorted OMgAgPb2 tetrahedra that share  a cornercorner with one O(10)Ag2Pb2 tetrahedra,  a cornercorner with one O(11)Ag2Pb2 tetrahedra,  a cornercorner with one O(12)Ag2Pb2 tetrahedra,  a cornercorner with one O(14)Ag2Pb2 tetrahedra,  a cornercorner with one O(2)Ag2Pb2 tetrahedra,  a cornercorner with one O(6)Ag2Pb2 tetrahedra,  a cornercorner with one O(7)Ag2Pb2 tetrahedra,  an edgeedge with one O(18)Ag2Pb2 tetrahedra,  an edgeedge with one O(13)MgAg2Pb2 trigonal bipyramid, and  an edgeedge with one O(15)MgAgPb2 trigonal pyramid. In the seventeenth O site, O(17) is bonded to one Ag(13), one Ag(6), one Pb(3), and one Pb(4) atom to form OAg2Pb2 tetrahedra that share  a cornercorner with one O(11)Ag2Pb2 tetrahedra,  a cornercorner with one O(14)Ag2Pb2 tetrahedra,  a cornercorner with one O(18)Ag2Pb2 tetrahedra,  a cornercorner with one O(4)Ag2Pb2 tetrahedra,  a cornercorner with one O(5)Ag2Pb2 tetrahedra,  a cornercorner with one O(6)Ag2Pb2 tetrahedra,  a cornercorner with one O(7)Ag2Pb2 tetrahedra,  a cornercorner with one O(13)MgAg2Pb2 trigonal bipyramid,  a cornercorner with one O(15)MgAgPb2 trigonal pyramid, and  an edgeedge with one O(3)Ag2Pb2 tetrahedra. In the eighteenth O site, O(18) is bonded to one Ag(13), one Ag(5), one Pb(5), and one Pb(6) atom to form OAg2Pb2 tetrahedra that share  a cornercorner with one O(10)Ag2Pb2 tetrahedra,  a cornercorner with one O(11)Ag2Pb2 tetrahedra,  a cornercorner with one O(12)Ag2Pb2 tetrahedra,  a cornercorner with one O(14)Ag2Pb2 tetrahedra,  a cornercorner with one O(17)Ag2Pb2 tetrahedra,  a cornercorner with one O(4)Ag2Pb2 tetrahedra,  a cornercorner with one O(5)Ag2Pb2 tetrahedra,  a cornercorner with one O(6)Ag2Pb2 tetrahedra,  a cornercorner with one O(7)Ag2Pb2 tetrahedra,  a cornercorner with one O(13)MgAg2Pb2 trigonal bipyramid,  a cornercorner with one O(15)MgAgPb2 trigonal pyramid, and  an edgeedge with one O(16)MgAgPb2 tetrahedra.