CeMg is alpha Samarium-derived structured and crystallizes in the orthorhombic Amm2 space group. There are three 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 Ce(1), and four equivalent Ce(2) atoms to form MgCe6Mg6 cuboctahedra that share corners with six equivalent Mg(2)Ce4Mg8 cuboctahedra, corners with six equivalent Mg(1)Ce6Mg6 cuboctahedra, corners with six equivalent Ce(1)Ce8Mg4 cuboctahedra, edges with three equivalent Mg(2)Ce4Mg8 cuboctahedra, edges with three equivalent Ce(1)Ce8Mg4 cuboctahedra, edges with four equivalent Ce(2)Ce6Mg6 cuboctahedra, edges with eight equivalent Ce(3)Ce8Mg4 cuboctahedra, faces with two equivalent Mg(2)Ce4Mg8 cuboctahedra, faces with two equivalent Ce(1)Ce8Mg4 cuboctahedra, faces with two equivalent Ce(3)Ce8Mg4 cuboctahedra, faces with four equivalent Mg(1)Ce6Mg6 cuboctahedra, faces with four equivalent Ce(2)Ce6Mg6 cuboctahedra, and faces with six equivalent Mg(3)Ce4Mg8 cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(1), two equivalent Mg(2), four equivalent Mg(3), two equivalent Ce(1), and two equivalent Ce(3) atoms to form MgCe4Mg8 cuboctahedra that share corners with six equivalent Mg(2)Ce4Mg8 cuboctahedra, corners with six equivalent Mg(1)Ce6Mg6 cuboctahedra, corners with six equivalent Ce(1)Ce8Mg4 cuboctahedra, edges with three equivalent Mg(1)Ce6Mg6 cuboctahedra, edges with three equivalent Ce(1)Ce8Mg4 cuboctahedra, edges with four equivalent Mg(3)Ce4Mg8 cuboctahedra, edges with eight equivalent Ce(2)Ce6Mg6 cuboctahedra, faces with two equivalent Mg(1)Ce6Mg6 cuboctahedra, faces with two equivalent Ce(2)Ce6Mg6 cuboctahedra, faces with two equivalent Ce(1)Ce8Mg4 cuboctahedra, faces with four equivalent Mg(2)Ce4Mg8 cuboctahedra, faces with four equivalent Mg(3)Ce4Mg8 cuboctahedra, and faces with six equivalent Ce(3)Ce8Mg4 cuboctahedra. In the third Mg site, Mg(3) is bonded to two equivalent Mg(1), two equivalent Mg(3), four equivalent Mg(2), two equivalent Ce(2), and two equivalent Ce(3) atoms to form MgCe4Mg8 cuboctahedra that share corners with six equivalent Mg(3)Ce4Mg8 cuboctahedra, corners with six equivalent Ce(2)Ce6Mg6 cuboctahedra, corners with six equivalent Ce(3)Ce8Mg4 cuboctahedra, edges with three equivalent Ce(2)Ce6Mg6 cuboctahedra, edges with three equivalent Ce(3)Ce8Mg4 cuboctahedra, edges with four equivalent Mg(2)Ce4Mg8 cuboctahedra, edges with eight equivalent Ce(1)Ce8Mg4 cuboctahedra, faces with two equivalent Ce(2)Ce6Mg6 cuboctahedra, faces with two equivalent Ce(1)Ce8Mg4 cuboctahedra, faces with two equivalent Ce(3)Ce8Mg4 cuboctahedra, faces with four equivalent Mg(2)Ce4Mg8 cuboctahedra, faces with four equivalent Mg(3)Ce4Mg8 cuboctahedra, and faces with six equivalent Mg(1)Ce6Mg6 cuboctahedra. There are three inequivalent Ce sites. In the first Ce site, Ce(1) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Ce(1), two equivalent Ce(2), and four equivalent Ce(3) atoms to form CeCe8Mg4 cuboctahedra that share corners with six equivalent Mg(2)Ce4Mg8 cuboctahedra, corners with six equivalent Mg(1)Ce6Mg6 cuboctahedra, corners with six equivalent Ce(1)Ce8Mg4 cuboctahedra, edges with three equivalent Mg(2)Ce4Mg8 cuboctahedra, edges with three equivalent Mg(1)Ce6Mg6 cuboctahedra, edges with four equivalent Ce(3)Ce8Mg4 cuboctahedra, edges with eight equivalent Mg(3)Ce4Mg8 cuboctahedra, faces with two equivalent Mg(2)Ce4Mg8 cuboctahedra, faces with two equivalent Mg(3)Ce4Mg8 cuboctahedra, faces with two equivalent Mg(1)Ce6Mg6 cuboctahedra, faces with four equivalent Ce(1)Ce8Mg4 cuboctahedra, faces with four equivalent Ce(3)Ce8Mg4 cuboctahedra, and faces with six equivalent Ce(2)Ce6Mg6 cuboctahedra. In the second Ce site, Ce(2) is bonded to two equivalent Mg(3), four equivalent Mg(1), two equivalent Ce(1), two equivalent Ce(2), and two equivalent Ce(3) atoms to form CeCe6Mg6 cuboctahedra that share corners with six equivalent Mg(3)Ce4Mg8 cuboctahedra, corners with six equivalent Ce(2)Ce6Mg6 cuboctahedra, corners with six equivalent Ce(3)Ce8Mg4 cuboctahedra, edges with three equivalent Mg(3)Ce4Mg8 cuboctahedra, edges with three equivalent Ce(3)Ce8Mg4 cuboctahedra, edges with four equivalent Mg(1)Ce6Mg6 cuboctahedra, edges with eight equivalent Mg(2)Ce4Mg8 cuboctahedra, faces with two equivalent Mg(2)Ce4Mg8 cuboctahedra, faces with two equivalent Mg(3)Ce4Mg8 cuboctahedra, faces with two equivalent Ce(3)Ce8Mg4 cuboctahedra, faces with four equivalent Mg(1)Ce6Mg6 cuboctahedra, faces with four equivalent Ce(2)Ce6Mg6 cuboctahedra, and faces with six equivalent Ce(1)Ce8Mg4 cuboctahedra. In the third Ce site, Ce(3) is bonded to two equivalent Mg(2), two equivalent Mg(3), two equivalent Ce(2), two equivalent Ce(3), and four equivalent Ce(1) atoms to form CeCe8Mg4 cuboctahedra that share corners with six equivalent Mg(3)Ce4Mg8 cuboctahedra, corners with six equivalent Ce(2)Ce6Mg6 cuboctahedra, corners with six equivalent Ce(3)Ce8Mg4 cuboctahedra, edges with three equivalent Mg(3)Ce4Mg8 cuboctahedra, edges with three equivalent Ce(2)Ce6Mg6 cuboctahedra, edges with four equivalent Ce(1)Ce8Mg4 cuboctahedra, edges with eight equivalent Mg(1)Ce6Mg6 cuboctahedra, faces with two equivalent Mg(3)Ce4Mg8 cuboctahedra, faces with two equivalent Mg(1)Ce6Mg6 cuboctahedra, faces with two equivalent Ce(2)Ce6Mg6 cuboctahedra, faces with four equivalent Ce(1)Ce8Mg4 cuboctahedra, faces with four equivalent Ce(3)Ce8Mg4 cuboctahedra, and faces with six equivalent Mg(2)Ce4Mg8 cuboctahedra.
CeMg is alpha Samarium-derived structured and crystallizes in the orthorhombic Amm2 space group. There are three 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 Ce(1), and four equivalent Ce(2) atoms to form MgCe6Mg6 cuboctahedra that share corners with six equivalent Mg(2)Ce4Mg8 cuboctahedra, corners with six equivalent Mg(1)Ce6Mg6 cuboctahedra, corners with six equivalent Ce(1)Ce8Mg4 cuboctahedra, edges with three equivalent Mg(2)Ce4Mg8 cuboctahedra, edges with three equivalent Ce(1)Ce8Mg4 cuboctahedra, edges with four equivalent Ce(2)Ce6Mg6 cuboctahedra, edges with eight equivalent Ce(3)Ce8Mg4 cuboctahedra, faces with two equivalent Mg(2)Ce4Mg8 cuboctahedra, faces with two equivalent Ce(1)Ce8Mg4 cuboctahedra, faces with two equivalent Ce(3)Ce8Mg4 cuboctahedra, faces with four equivalent Mg(1)Ce6Mg6 cuboctahedra, faces with four equivalent Ce(2)Ce6Mg6 cuboctahedra, and faces with six equivalent Mg(3)Ce4Mg8 cuboctahedra. Both Mg(1)-Mg(1) bond lengths are 3.21 Å. Both Mg(1)-Mg(2) bond lengths are 3.19 Å. Both Mg(1)-Mg(3) bond lengths are 3.28 Å. Both Mg(1)-Ce(1) bond lengths are 3.60 Å. All Mg(1)-Ce(2) bond lengths are 3.36 Å. In the second Mg site, Mg(2) is bonded to two equivalent Mg(1), two equivalent Mg(2), four equivalent Mg(3), two equivalent Ce(1), and two equivalent Ce(3) atoms to form MgCe4Mg8 cuboctahedra that share corners with six equivalent Mg(2)Ce4Mg8 cuboctahedra, corners with six equivalent Mg(1)Ce6Mg6 cuboctahedra, corners with six equivalent Ce(1)Ce8Mg4 cuboctahedra, edges with three equivalent Mg(1)Ce6Mg6 cuboctahedra, edges with three equivalent Ce(1)Ce8Mg4 cuboctahedra, edges with four equivalent Mg(3)Ce4Mg8 cuboctahedra, edges with eight equivalent Ce(2)Ce6Mg6 cuboctahedra, faces with two equivalent Mg(1)Ce6Mg6 cuboctahedra, faces with two equivalent Ce(2)Ce6Mg6 cuboctahedra, faces with two equivalent Ce(1)Ce8Mg4 cuboctahedra, faces with four equivalent Mg(2)Ce4Mg8 cuboctahedra, faces with four equivalent Mg(3)Ce4Mg8 cuboctahedra, and faces with six equivalent Ce(3)Ce8Mg4 cuboctahedra. Both Mg(2)-Mg(2) bond lengths are 3.21 Å. All Mg(2)-Mg(3) bond lengths are 3.26 Å. Both Mg(2)-Ce(1) bond lengths are 3.38 Å. Both Mg(2)-Ce(3) bond lengths are 3.51 Å. In the third Mg site, Mg(3) is bonded to two equivalent Mg(1), two equivalent Mg(3), four equivalent Mg(2), two equivalent Ce(2), and two equivalent Ce(3) atoms to form MgCe4Mg8 cuboctahedra that share corners with six equivalent Mg(3)Ce4Mg8 cuboctahedra, corners with six equivalent Ce(2)Ce6Mg6 cuboctahedra, corners with six equivalent Ce(3)Ce8Mg4 cuboctahedra, edges with three equivalent Ce(2)Ce6Mg6 cuboctahedra, edges with three equivalent Ce(3)Ce8Mg4 cuboctahedra, edges with four equivalent Mg(2)Ce4Mg8 cuboctahedra, edges with eight equivalent Ce(1)Ce8Mg4 cuboctahedra, faces with two equivalent Ce(2)Ce6Mg6 cuboctahedra, faces with two equivalent Ce(1)Ce8Mg4 cuboctahedra, faces with two equivalent Ce(3)Ce8Mg4 cuboctahedra, faces with four equivalent Mg(2)Ce4Mg8 cuboctahedra, faces with four equivalent Mg(3)Ce4Mg8 cuboctahedra, and faces with six equivalent Mg(1)Ce6Mg6 cuboctahedra. Both Mg(3)-Mg(3) bond lengths are 3.21 Å. Both Mg(3)-Ce(2) bond lengths are 3.46 Å. Both Mg(3)-Ce(3) bond lengths are 3.52 Å. There are three inequivalent Ce sites. In the first Ce site, Ce(1) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Ce(1), two equivalent Ce(2), and four equivalent Ce(3) atoms to form CeCe8Mg4 cuboctahedra that share corners with six equivalent Mg(2)Ce4Mg8 cuboctahedra, corners with six equivalent Mg(1)Ce6Mg6 cuboctahedra, corners with six equivalent Ce(1)Ce8Mg4 cuboctahedra, edges with three equivalent Mg(2)Ce4Mg8 cuboctahedra, edges with three equivalent Mg(1)Ce6Mg6 cuboctahedra, edges with four equivalent Ce(3)Ce8Mg4 cuboctahedra, edges with eight equivalent Mg(3)Ce4Mg8 cuboctahedra, faces with two equivalent Mg(2)Ce4Mg8 cuboctahedra, faces with two equivalent Mg(3)Ce4Mg8 cuboctahedra, faces with two equivalent Mg(1)Ce6Mg6 cuboctahedra, faces with four equivalent Ce(1)Ce8Mg4 cuboctahedra, faces with four equivalent Ce(3)Ce8Mg4 cuboctahedra, and faces with six equivalent Ce(2)Ce6Mg6 cuboctahedra. Both Ce(1)-Ce(1) bond lengths are 3.21 Å. Both Ce(1)-Ce(2) bond lengths are 3.37 Å. All Ce(1)-Ce(3) bond lengths are 3.22 Å. In the second Ce site, Ce(2) is bonded to two equivalent Mg(3), four equivalent Mg(1), two equivalent Ce(1), two equivalent Ce(2), and two equivalent Ce(3) atoms to form CeCe6Mg6 cuboctahedra that share corners with six equivalent Mg(3)Ce4Mg8 cuboctahedra, corners with six equivalent Ce(2)Ce6Mg6 cuboctahedra, corners with six equivalent Ce(3)Ce8Mg4 cuboctahedra, edges with three equivalent Mg(3)Ce4Mg8 cuboctahedra, edges with three equivalent Ce(3)Ce8Mg4 cuboctahedra, edges with four equivalent Mg(1)Ce6Mg6 cuboctahedra, edges with eight equivalent Mg(2)Ce4Mg8 cuboctahedra, faces with two equivalent Mg(2)Ce4Mg8 cuboctahedra, faces with two equivalent Mg(3)Ce4Mg8 cuboctahedra, faces with two equivalent Ce(3)Ce8Mg4 cuboctahedra, faces with four equivalent Mg(1)Ce6Mg6 cuboctahedra, faces with four equivalent Ce(2)Ce6Mg6 cuboctahedra, and faces with six equivalent Ce(1)Ce8Mg4 cuboctahedra. Both Ce(2)-Ce(2) bond lengths are 3.21 Å. Both Ce(2)-Ce(3) bond lengths are 3.19 Å. In the third Ce site, Ce(3) is bonded to two equivalent Mg(2), two equivalent Mg(3), two equivalent Ce(2), two equivalent Ce(3), and four equivalent Ce(1) atoms to form CeCe8Mg4 cuboctahedra that share corners with six equivalent Mg(3)Ce4Mg8 cuboctahedra, corners with six equivalent Ce(2)Ce6Mg6 cuboctahedra, corners with six equivalent Ce(3)Ce8Mg4 cuboctahedra, edges with three equivalent Mg(3)Ce4Mg8 cuboctahedra, edges with three equivalent Ce(2)Ce6Mg6 cuboctahedra, edges with four equivalent Ce(1)Ce8Mg4 cuboctahedra, edges with eight equivalent Mg(1)Ce6Mg6 cuboctahedra, faces with two equivalent Mg(3)Ce4Mg8 cuboctahedra, faces with two equivalent Mg(1)Ce6Mg6 cuboctahedra, faces with two equivalent Ce(2)Ce6Mg6 cuboctahedra, faces with four equivalent Ce(1)Ce8Mg4 cuboctahedra, faces with four equivalent Ce(3)Ce8Mg4 cuboctahedra, and faces with six equivalent Mg(2)Ce4Mg8 cuboctahedra. Both Ce(3)-Ce(3) bond lengths are 3.21 Å.