Mg6LaCd crystallizes in the orthorhombic Amm2 space group. There are four 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(4), two equivalent La(1), and two equivalent Cd(1) atoms to form distorted MgLa2Mg8Cd2 cuboctahedra that share corners with four equivalent La(1)Mg10Cd2 cuboctahedra, corners with four equivalent Cd(1)La2Mg10 cuboctahedra, corners with ten equivalent Mg(1)La2Mg8Cd2 cuboctahedra, edges with two equivalent Mg(1)La2Mg8Cd2 cuboctahedra, edges with two equivalent La(1)Mg10Cd2 cuboctahedra, edges with two equivalent Cd(1)La2Mg10 cuboctahedra, edges with four equivalent Mg(4)Mg10Cd2 cuboctahedra, faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra, faces with two equivalent La(1)Mg10Cd2 cuboctahedra, faces with two equivalent Cd(1)La2Mg10 cuboctahedra, and faces with four equivalent Mg(1)La2Mg8Cd2 cuboctahedra. In the second Mg site, Mg(2) is bonded in a 4-coordinate geometry to two equivalent Mg(1), two equivalent Mg(3), two equivalent Mg(4), two equivalent La(1), and two equivalent Cd(1) atoms. In the third Mg site, Mg(3) is bonded in a 12-coordinate geometry to two equivalent Mg(4), four equivalent Mg(1), four equivalent Mg(2), and two equivalent La(1) atoms. In the fourth Mg site, Mg(4) is bonded to two equivalent Mg(3), four equivalent Mg(1), four equivalent Mg(2), and two equivalent Cd(1) atoms to form distorted MgMg10Cd2 cuboctahedra that share corners with six equivalent Mg(4)Mg10Cd2 cuboctahedra, edges with four equivalent Cd(1)La2Mg10 cuboctahedra, edges with eight equivalent Mg(1)La2Mg8Cd2 cuboctahedra, faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra, faces with two equivalent Cd(1)La2Mg10 cuboctahedra, faces with four equivalent Mg(1)La2Mg8Cd2 cuboctahedra, and faces with six equivalent La(1)Mg10Cd2 cuboctahedra. La(1) is bonded to two equivalent Mg(3), four equivalent Mg(1), four equivalent Mg(2), and two equivalent Cd(1) atoms to form LaMg10Cd2 cuboctahedra that share corners with four equivalent Cd(1)La2Mg10 cuboctahedra, corners with six equivalent La(1)Mg10Cd2 cuboctahedra, corners with eight equivalent Mg(1)La2Mg8Cd2 cuboctahedra, edges with two equivalent Cd(1)La2Mg10 cuboctahedra, edges with four equivalent Mg(1)La2Mg8Cd2 cuboctahedra, faces with two equivalent La(1)Mg10Cd2 cuboctahedra, faces with two equivalent Cd(1)La2Mg10 cuboctahedra, faces with four equivalent Mg(1)La2Mg8Cd2 cuboctahedra, and faces with six equivalent Mg(4)Mg10Cd2 cuboctahedra. Cd(1) is bonded to two equivalent Mg(4), four equivalent Mg(1), four equivalent Mg(2), and two equivalent La(1) atoms to form CdLa2Mg10 cuboctahedra that share corners with four equivalent La(1)Mg10Cd2 cuboctahedra, corners with six equivalent Cd(1)La2Mg10 cuboctahedra, corners with eight equivalent Mg(1)La2Mg8Cd2 cuboctahedra, edges with two equivalent La(1)Mg10Cd2 cuboctahedra, edges with four equivalent Mg(1)La2Mg8Cd2 cuboctahedra, edges with four equivalent Mg(4)Mg10Cd2 cuboctahedra, faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra, faces with two equivalent La(1)Mg10Cd2 cuboctahedra, faces with two equivalent Cd(1)La2Mg10 cuboctahedra, and faces with four equivalent Mg(1)La2Mg8Cd2 cuboctahedra.
Mg6LaCd crystallizes in the orthorhombic Amm2 space group. There are four 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(4), two equivalent La(1), and two equivalent Cd(1) atoms to form distorted MgLa2Mg8Cd2 cuboctahedra that share corners with four equivalent La(1)Mg10Cd2 cuboctahedra, corners with four equivalent Cd(1)La2Mg10 cuboctahedra, corners with ten equivalent Mg(1)La2Mg8Cd2 cuboctahedra, edges with two equivalent Mg(1)La2Mg8Cd2 cuboctahedra, edges with two equivalent La(1)Mg10Cd2 cuboctahedra, edges with two equivalent Cd(1)La2Mg10 cuboctahedra, edges with four equivalent Mg(4)Mg10Cd2 cuboctahedra, faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra, faces with two equivalent La(1)Mg10Cd2 cuboctahedra, faces with two equivalent Cd(1)La2Mg10 cuboctahedra, and faces with four equivalent Mg(1)La2Mg8Cd2 cuboctahedra. There is one shorter (3.25 Å) and one longer (3.37 Å) Mg(1)-Mg(1) bond length. Both Mg(1)-Mg(2) bond lengths are 3.21 Å. Both Mg(1)-Mg(3) bond lengths are 3.20 Å. Both Mg(1)-Mg(4) bond lengths are 3.25 Å. There is one shorter (3.37 Å) and one longer (3.40 Å) Mg(1)-La(1) bond length. There is one shorter (3.30 Å) and one longer (3.47 Å) Mg(1)-Cd(1) bond length. In the second Mg site, Mg(2) is bonded in a 4-coordinate geometry to two equivalent Mg(1), two equivalent Mg(3), two equivalent Mg(4), two equivalent La(1), and two equivalent Cd(1) atoms. There is one shorter (3.27 Å) and one longer (3.50 Å) Mg(2)-Mg(3) bond length. There is one shorter (3.38 Å) and one longer (3.39 Å) Mg(2)-Mg(4) bond length. Both Mg(2)-La(1) bond lengths are 3.28 Å. Both Mg(2)-Cd(1) bond lengths are 3.19 Å. In the third Mg site, Mg(3) is bonded in a 12-coordinate geometry to two equivalent Mg(4), four equivalent Mg(1), four equivalent Mg(2), and two equivalent La(1) atoms. Both Mg(3)-Mg(4) bond lengths are 3.31 Å. Both Mg(3)-La(1) bond lengths are 3.27 Å. In the fourth Mg site, Mg(4) is bonded to two equivalent Mg(3), four equivalent Mg(1), four equivalent Mg(2), and two equivalent Cd(1) atoms to form distorted MgMg10Cd2 cuboctahedra that share corners with six equivalent Mg(4)Mg10Cd2 cuboctahedra, edges with four equivalent Cd(1)La2Mg10 cuboctahedra, edges with eight equivalent Mg(1)La2Mg8Cd2 cuboctahedra, faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra, faces with two equivalent Cd(1)La2Mg10 cuboctahedra, faces with four equivalent Mg(1)La2Mg8Cd2 cuboctahedra, and faces with six equivalent La(1)Mg10Cd2 cuboctahedra. Both Mg(4)-Cd(1) bond lengths are 3.28 Å. La(1) is bonded to two equivalent Mg(3), four equivalent Mg(1), four equivalent Mg(2), and two equivalent Cd(1) atoms to form LaMg10Cd2 cuboctahedra that share corners with four equivalent Cd(1)La2Mg10 cuboctahedra, corners with six equivalent La(1)Mg10Cd2 cuboctahedra, corners with eight equivalent Mg(1)La2Mg8Cd2 cuboctahedra, edges with two equivalent Cd(1)La2Mg10 cuboctahedra, edges with four equivalent Mg(1)La2Mg8Cd2 cuboctahedra, faces with two equivalent La(1)Mg10Cd2 cuboctahedra, faces with two equivalent Cd(1)La2Mg10 cuboctahedra, faces with four equivalent Mg(1)La2Mg8Cd2 cuboctahedra, and faces with six equivalent Mg(4)Mg10Cd2 cuboctahedra. Both La(1)-Cd(1) bond lengths are 3.31 Å. Cd(1) is bonded to two equivalent Mg(4), four equivalent Mg(1), four equivalent Mg(2), and two equivalent La(1) atoms to form CdLa2Mg10 cuboctahedra that share corners with four equivalent La(1)Mg10Cd2 cuboctahedra, corners with six equivalent Cd(1)La2Mg10 cuboctahedra, corners with eight equivalent Mg(1)La2Mg8Cd2 cuboctahedra, edges with two equivalent La(1)Mg10Cd2 cuboctahedra, edges with four equivalent Mg(1)La2Mg8Cd2 cuboctahedra, edges with four equivalent Mg(4)Mg10Cd2 cuboctahedra, faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra, faces with two equivalent La(1)Mg10Cd2 cuboctahedra, faces with two equivalent Cd(1)La2Mg10 cuboctahedra, and faces with four equivalent Mg(1)La2Mg8Cd2 cuboctahedra.