Mg5Ag crystallizes in the orthorhombic Amm2 space group. There are five inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(5), and four equivalent Mg(4) atoms to form MgMg12 cuboctahedra that share corners with six equivalent Mg(3)Mg10Ag2 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Mg(2)Mg8Ag4 cuboctahedra, edges with three equivalent Mg(3)Mg10Ag2 cuboctahedra, edges with three equivalent Mg(2)Mg8Ag4 cuboctahedra, edges with eight equivalent Ag(1)Mg10 cuboctahedra, faces with two equivalent Mg(3)Mg10Ag2 cuboctahedra, faces with two equivalent Mg(2)Mg8Ag4 cuboctahedra, faces with two equivalent Ag(1)Mg10 cuboctahedra, and faces with four equivalent Mg(1)Mg12 cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and four equivalent Ag(1) atoms to form distorted MgMg8Ag4 cuboctahedra that share corners with four equivalent Ag(1)Mg10 cuboctahedra, corners with six equivalent Mg(3)Mg10Ag2 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Mg(2)Mg8Ag4 cuboctahedra, edges with three equivalent Mg(3)Mg10Ag2 cuboctahedra, edges with three equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg10Ag2 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with four equivalent Mg(2)Mg8Ag4 cuboctahedra, and faces with four equivalent Ag(1)Mg10 cuboctahedra. In the third Mg site, Mg(3) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), four equivalent Mg(5), and two equivalent Ag(1) atoms to form distorted MgMg10Ag2 cuboctahedra that share corners with six equivalent Mg(3)Mg10Ag2 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Mg(2)Mg8Ag4 cuboctahedra, edges with three equivalent Mg(1)Mg12 cuboctahedra, edges with three equivalent Mg(2)Mg8Ag4 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(2)Mg8Ag4 cuboctahedra, faces with four equivalent Mg(3)Mg10Ag2 cuboctahedra, and faces with six equivalent Ag(1)Mg10 cuboctahedra. In the fourth Mg site, Mg(4) is bonded in a 2-coordinate geometry to two equivalent Mg(2), four equivalent Mg(1), and two equivalent Ag(1) atoms. In the fifth Mg site, Mg(5) is bonded in a 2-coordinate geometry to two equivalent Mg(1), four equivalent Mg(3), and two equivalent Ag(1) atoms. Ag(1) is bonded to two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(5), and four equivalent Mg(2) atoms to form distorted AgMg10 cuboctahedra that share corners with four equivalent Mg(2)Mg8Ag4 cuboctahedra, corners with four equivalent Ag(1)Mg10 cuboctahedra, edges with eight equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with four equivalent Mg(2)Mg8Ag4 cuboctahedra, faces with four equivalent Ag(1)Mg10 cuboctahedra, and faces with six equivalent Mg(3)Mg10Ag2 cuboctahedra.
Mg5Ag crystallizes in the orthorhombic Amm2 space group. There are five inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(5), and four equivalent Mg(4) atoms to form MgMg12 cuboctahedra that share corners with six equivalent Mg(3)Mg10Ag2 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Mg(2)Mg8Ag4 cuboctahedra, edges with three equivalent Mg(3)Mg10Ag2 cuboctahedra, edges with three equivalent Mg(2)Mg8Ag4 cuboctahedra, edges with eight equivalent Ag(1)Mg10 cuboctahedra, faces with two equivalent Mg(3)Mg10Ag2 cuboctahedra, faces with two equivalent Mg(2)Mg8Ag4 cuboctahedra, faces with two equivalent Ag(1)Mg10 cuboctahedra, and faces with four equivalent Mg(1)Mg12 cuboctahedra. Both Mg(1)-Mg(1) bond lengths are 3.13 Å. Both Mg(1)-Mg(2) bond lengths are 3.16 Å. Both Mg(1)-Mg(3) bond lengths are 3.09 Å. Both Mg(1)-Mg(5) bond lengths are 3.13 Å. All Mg(1)-Mg(4) bond lengths are 3.11 Å. In the second Mg site, Mg(2) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and four equivalent Ag(1) atoms to form distorted MgMg8Ag4 cuboctahedra that share corners with four equivalent Ag(1)Mg10 cuboctahedra, corners with six equivalent Mg(3)Mg10Ag2 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Mg(2)Mg8Ag4 cuboctahedra, edges with three equivalent Mg(3)Mg10Ag2 cuboctahedra, edges with three equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg10Ag2 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with four equivalent Mg(2)Mg8Ag4 cuboctahedra, and faces with four equivalent Ag(1)Mg10 cuboctahedra. Both Mg(2)-Mg(2) bond lengths are 3.13 Å. Both Mg(2)-Mg(3) bond lengths are 2.99 Å. Both Mg(2)-Mg(4) bond lengths are 3.04 Å. All Mg(2)-Ag(1) bond lengths are 3.05 Å. In the third Mg site, Mg(3) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), four equivalent Mg(5), and two equivalent Ag(1) atoms to form distorted MgMg10Ag2 cuboctahedra that share corners with six equivalent Mg(3)Mg10Ag2 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Mg(2)Mg8Ag4 cuboctahedra, edges with three equivalent Mg(1)Mg12 cuboctahedra, edges with three equivalent Mg(2)Mg8Ag4 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(2)Mg8Ag4 cuboctahedra, faces with four equivalent Mg(3)Mg10Ag2 cuboctahedra, and faces with six equivalent Ag(1)Mg10 cuboctahedra. Both Mg(3)-Mg(3) bond lengths are 3.13 Å. All Mg(3)-Mg(5) bond lengths are 3.04 Å. Both Mg(3)-Ag(1) bond lengths are 3.04 Å. In the fourth Mg site, Mg(4) is bonded in a 2-coordinate geometry to two equivalent Mg(2), four equivalent Mg(1), and two equivalent Ag(1) atoms. Both Mg(4)-Ag(1) bond lengths are 3.00 Å. In the fifth Mg site, Mg(5) is bonded in a 2-coordinate geometry to two equivalent Mg(1), four equivalent Mg(3), and two equivalent Ag(1) atoms. Both Mg(5)-Ag(1) bond lengths are 2.96 Å. Ag(1) is bonded to two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(5), and four equivalent Mg(2) atoms to form distorted AgMg10 cuboctahedra that share corners with four equivalent Mg(2)Mg8Ag4 cuboctahedra, corners with four equivalent Ag(1)Mg10 cuboctahedra, edges with eight equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with four equivalent Mg(2)Mg8Ag4 cuboctahedra, faces with four equivalent Ag(1)Mg10 cuboctahedra, and faces with six equivalent Mg(3)Mg10Ag2 cuboctahedra.