Mg6MnCd is beta Cu3Ti-derived structured and 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 Mn(1), and two equivalent Cd(1) atoms to form distorted MgMg8Mn2Cd2 cuboctahedra that share corners with four equivalent Mg(2)Mg10Mn2 cuboctahedra, corners with four equivalent Mn(1)Mg10Cd2 cuboctahedra, corners with ten equivalent Mg(1)Mg8Mn2Cd2 cuboctahedra, edges with two equivalent Mg(2)Mg10Mn2 cuboctahedra, edges with two equivalent Mg(1)Mg8Mn2Cd2 cuboctahedra, edges with two equivalent Mn(1)Mg10Cd2 cuboctahedra, edges with four equivalent Mg(4)Mg10Cd2 cuboctahedra, edges with four equivalent Mg(3)Mg8Mn2Cd2 cuboctahedra, edges with four equivalent Cd(1)Mg10Mn2 cuboctahedra, faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra, faces with two equivalent Mg(2)Mg10Mn2 cuboctahedra, faces with two equivalent Mn(1)Mg10Cd2 cuboctahedra, faces with two equivalent Cd(1)Mg10Mn2 cuboctahedra, faces with four equivalent Mg(1)Mg8Mn2Cd2 cuboctahedra, and faces with eight equivalent Mg(3)Mg8Mn2Cd2 cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(4), four equivalent Mg(1), four equivalent Mg(3), and two equivalent Mn(1) atoms to form MgMg10Mn2 cuboctahedra that share corners with four equivalent Mn(1)Mg10Cd2 cuboctahedra, corners with six equivalent Mg(2)Mg10Mn2 cuboctahedra, corners with eight equivalent Mg(1)Mg8Mn2Cd2 cuboctahedra, edges with two equivalent Mn(1)Mg10Cd2 cuboctahedra, edges with four equivalent Mg(4)Mg10Cd2 cuboctahedra, edges with four equivalent Mg(1)Mg8Mn2Cd2 cuboctahedra, edges with eight equivalent Mg(3)Mg8Mn2Cd2 cuboctahedra, faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra, faces with two equivalent Mg(2)Mg10Mn2 cuboctahedra, faces with two equivalent Mn(1)Mg10Cd2 cuboctahedra, faces with four equivalent Mg(1)Mg8Mn2Cd2 cuboctahedra, faces with four equivalent Mg(3)Mg8Mn2Cd2 cuboctahedra, and faces with six equivalent Cd(1)Mg10Mn2 cuboctahedra. In the third Mg site, Mg(3) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mn(1), and two equivalent Cd(1) atoms to form distorted MgMg8Mn2Cd2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Cd2 cuboctahedra, corners with four equivalent Cd(1)Mg10Mn2 cuboctahedra, corners with ten equivalent Mg(3)Mg8Mn2Cd2 cuboctahedra, edges with two equivalent Mg(4)Mg10Cd2 cuboctahedra, edges with two equivalent Mg(3)Mg8Mn2Cd2 cuboctahedra, edges with two equivalent Cd(1)Mg10Mn2 cuboctahedra, edges with four equivalent Mg(2)Mg10Mn2 cuboctahedra, edges with four equivalent Mg(1)Mg8Mn2Cd2 cuboctahedra, edges with four equivalent Mn(1)Mg10Cd2 cuboctahedra, faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra, faces with two equivalent Mg(2)Mg10Mn2 cuboctahedra, faces with two equivalent Mn(1)Mg10Cd2 cuboctahedra, faces with two equivalent Cd(1)Mg10Mn2 cuboctahedra, faces with four equivalent Mg(3)Mg8Mn2Cd2 cuboctahedra, and faces with eight equivalent Mg(1)Mg8Mn2Cd2 cuboctahedra. In the fourth Mg site, Mg(4) is bonded to two equivalent Mg(2), four equivalent Mg(1), four equivalent Mg(3), and two equivalent Cd(1) atoms to form distorted MgMg10Cd2 cuboctahedra that share corners with four equivalent Cd(1)Mg10Mn2 cuboctahedra, corners with six equivalent Mg(4)Mg10Cd2 cuboctahedra, corners with eight equivalent Mg(3)Mg8Mn2Cd2 cuboctahedra, edges with two equivalent Cd(1)Mg10Mn2 cuboctahedra, edges with four equivalent Mg(2)Mg10Mn2 cuboctahedra, edges with four equivalent Mg(3)Mg8Mn2Cd2 cuboctahedra, edges with eight equivalent Mg(1)Mg8Mn2Cd2 cuboctahedra, faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra, faces with two equivalent Mg(2)Mg10Mn2 cuboctahedra, faces with two equivalent Cd(1)Mg10Mn2 cuboctahedra, faces with four equivalent Mg(1)Mg8Mn2Cd2 cuboctahedra, faces with four equivalent Mg(3)Mg8Mn2Cd2 cuboctahedra, and faces with six equivalent Mn(1)Mg10Cd2 cuboctahedra. Mn(1) is bonded to two equivalent Mg(2), four equivalent Mg(1), four equivalent Mg(3), and two equivalent Cd(1) atoms to form MnMg10Cd2 cuboctahedra that share corners with four equivalent Mg(2)Mg10Mn2 cuboctahedra, corners with six equivalent Mn(1)Mg10Cd2 cuboctahedra, corners with eight equivalent Mg(1)Mg8Mn2Cd2 cuboctahedra, edges with two equivalent Mg(2)Mg10Mn2 cuboctahedra, edges with four equivalent Mg(1)Mg8Mn2Cd2 cuboctahedra, edges with four equivalent Cd(1)Mg10Mn2 cuboctahedra, edges with eight equivalent Mg(3)Mg8Mn2Cd2 cuboctahedra, faces with two equivalent Mg(2)Mg10Mn2 cuboctahedra, faces with two equivalent Mn(1)Mg10Cd2 cuboctahedra, faces with two equivalent Cd(1)Mg10Mn2 cuboctahedra, faces with four equivalent Mg(1)Mg8Mn2Cd2 cuboctahedra, faces with four equivalent Mg(3)Mg8Mn2Cd2 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(3), and two equivalent Mn(1) atoms to form CdMg10Mn2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Cd2 cuboctahedra, corners with six equivalent Cd(1)Mg10Mn2 cuboctahedra, corners with eight equivalent Mg(3)Mg8Mn2Cd2 cuboctahedra, edges with two equivalent Mg(4)Mg10Cd2 cuboctahedra, edges with four equivalent Mg(3)Mg8Mn2Cd2 cuboctahedra, edges with four equivalent Mn(1)Mg10Cd2 cuboctahedra, edges with eight equivalent Mg(1)Mg8Mn2Cd2 cuboctahedra, faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra, faces with two equivalent Mn(1)Mg10Cd2 cuboctahedra, faces with two equivalent Cd(1)Mg10Mn2 cuboctahedra, faces with four equivalent Mg(1)Mg8Mn2Cd2 cuboctahedra, faces with four equivalent Mg(3)Mg8Mn2Cd2 cuboctahedra, and faces with six equivalent Mg(2)Mg10Mn2 cuboctahedra.
Mg6MnCd is beta Cu3Ti-derived structured and 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 Mn(1), and two equivalent Cd(1) atoms to form distorted MgMg8Mn2Cd2 cuboctahedra that share corners with four equivalent Mg(2)Mg10Mn2 cuboctahedra, corners with four equivalent Mn(1)Mg10Cd2 cuboctahedra, corners with ten equivalent Mg(1)Mg8Mn2Cd2 cuboctahedra, edges with two equivalent Mg(2)Mg10Mn2 cuboctahedra, edges with two equivalent Mg(1)Mg8Mn2Cd2 cuboctahedra, edges with two equivalent Mn(1)Mg10Cd2 cuboctahedra, edges with four equivalent Mg(4)Mg10Cd2 cuboctahedra, edges with four equivalent Mg(3)Mg8Mn2Cd2 cuboctahedra, edges with four equivalent Cd(1)Mg10Mn2 cuboctahedra, faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra, faces with two equivalent Mg(2)Mg10Mn2 cuboctahedra, faces with two equivalent Mn(1)Mg10Cd2 cuboctahedra, faces with two equivalent Cd(1)Mg10Mn2 cuboctahedra, faces with four equivalent Mg(1)Mg8Mn2Cd2 cuboctahedra, and faces with eight equivalent Mg(3)Mg8Mn2Cd2 cuboctahedra. There is one shorter (3.11 Å) and one longer (3.13 Å) Mg(1)-Mg(1) bond length. There is one shorter (3.12 Å) and one longer (3.13 Å) Mg(1)-Mg(2) bond length. Both Mg(1)-Mg(3) bond lengths are 3.10 Å. Both Mg(1)-Mg(4) bond lengths are 3.09 Å. There is one shorter (3.12 Å) and one longer (3.13 Å) Mg(1)-Mn(1) bond length. Both Mg(1)-Cd(1) bond lengths are 3.10 Å. In the second Mg site, Mg(2) is bonded to two equivalent Mg(4), four equivalent Mg(1), four equivalent Mg(3), and two equivalent Mn(1) atoms to form MgMg10Mn2 cuboctahedra that share corners with four equivalent Mn(1)Mg10Cd2 cuboctahedra, corners with six equivalent Mg(2)Mg10Mn2 cuboctahedra, corners with eight equivalent Mg(1)Mg8Mn2Cd2 cuboctahedra, edges with two equivalent Mn(1)Mg10Cd2 cuboctahedra, edges with four equivalent Mg(4)Mg10Cd2 cuboctahedra, edges with four equivalent Mg(1)Mg8Mn2Cd2 cuboctahedra, edges with eight equivalent Mg(3)Mg8Mn2Cd2 cuboctahedra, faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra, faces with two equivalent Mg(2)Mg10Mn2 cuboctahedra, faces with two equivalent Mn(1)Mg10Cd2 cuboctahedra, faces with four equivalent Mg(1)Mg8Mn2Cd2 cuboctahedra, faces with four equivalent Mg(3)Mg8Mn2Cd2 cuboctahedra, and faces with six equivalent Cd(1)Mg10Mn2 cuboctahedra. Both Mg(2)-Mg(4) bond lengths are 3.08 Å. All Mg(2)-Mg(3) bond lengths are 3.09 Å. Both Mg(2)-Mn(1) bond lengths are 3.12 Å. In the third Mg site, Mg(3) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mn(1), and two equivalent Cd(1) atoms to form distorted MgMg8Mn2Cd2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Cd2 cuboctahedra, corners with four equivalent Cd(1)Mg10Mn2 cuboctahedra, corners with ten equivalent Mg(3)Mg8Mn2Cd2 cuboctahedra, edges with two equivalent Mg(4)Mg10Cd2 cuboctahedra, edges with two equivalent Mg(3)Mg8Mn2Cd2 cuboctahedra, edges with two equivalent Cd(1)Mg10Mn2 cuboctahedra, edges with four equivalent Mg(2)Mg10Mn2 cuboctahedra, edges with four equivalent Mg(1)Mg8Mn2Cd2 cuboctahedra, edges with four equivalent Mn(1)Mg10Cd2 cuboctahedra, faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra, faces with two equivalent Mg(2)Mg10Mn2 cuboctahedra, faces with two equivalent Mn(1)Mg10Cd2 cuboctahedra, faces with two equivalent Cd(1)Mg10Mn2 cuboctahedra, faces with four equivalent Mg(3)Mg8Mn2Cd2 cuboctahedra, and faces with eight equivalent Mg(1)Mg8Mn2Cd2 cuboctahedra. There is one shorter (3.05 Å) and one longer (3.19 Å) Mg(3)-Mg(3) bond length. There is one shorter (3.11 Å) and one longer (3.15 Å) Mg(3)-Mg(4) bond length. Both Mg(3)-Mn(1) bond lengths are 3.05 Å. There is one shorter (3.05 Å) and one longer (3.21 Å) Mg(3)-Cd(1) bond length. In the fourth Mg site, Mg(4) is bonded to two equivalent Mg(2), four equivalent Mg(1), four equivalent Mg(3), and two equivalent Cd(1) atoms to form distorted MgMg10Cd2 cuboctahedra that share corners with four equivalent Cd(1)Mg10Mn2 cuboctahedra, corners with six equivalent Mg(4)Mg10Cd2 cuboctahedra, corners with eight equivalent Mg(3)Mg8Mn2Cd2 cuboctahedra, edges with two equivalent Cd(1)Mg10Mn2 cuboctahedra, edges with four equivalent Mg(2)Mg10Mn2 cuboctahedra, edges with four equivalent Mg(3)Mg8Mn2Cd2 cuboctahedra, edges with eight equivalent Mg(1)Mg8Mn2Cd2 cuboctahedra, faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra, faces with two equivalent Mg(2)Mg10Mn2 cuboctahedra, faces with two equivalent Cd(1)Mg10Mn2 cuboctahedra, faces with four equivalent Mg(1)Mg8Mn2Cd2 cuboctahedra, faces with four equivalent Mg(3)Mg8Mn2Cd2 cuboctahedra, and faces with six equivalent Mn(1)Mg10Cd2 cuboctahedra. Both Mg(4)-Cd(1) bond lengths are 3.12 Å. Mn(1) is bonded to two equivalent Mg(2), four equivalent Mg(1), four equivalent Mg(3), and two equivalent Cd(1) atoms to form MnMg10Cd2 cuboctahedra that share corners with four equivalent Mg(2)Mg10Mn2 cuboctahedra, corners with six equivalent Mn(1)Mg10Cd2 cuboctahedra, corners with eight equivalent Mg(1)Mg8Mn2Cd2 cuboctahedra, edges with two equivalent Mg(2)Mg10Mn2 cuboctahedra, edges with four equivalent Mg(1)Mg8Mn2Cd2 cuboctahedra, edges with four equivalent Cd(1)Mg10Mn2 cuboctahedra, edges with eight equivalent Mg(3)Mg8Mn2Cd2 cuboctahedra, faces with two equivalent Mg(2)Mg10Mn2 cuboctahedra, faces with two equivalent Mn(1)Mg10Cd2 cuboctahedra, faces with two equivalent Cd(1)Mg10Mn2 cuboctahedra, faces with four equivalent Mg(1)Mg8Mn2Cd2 cuboctahedra, faces with four equivalent Mg(3)Mg8Mn2Cd2 cuboctahedra, and faces with six equivalent Mg(4)Mg10Cd2 cuboctahedra. Both Mn(1)-Cd(1) bond lengths are 3.07 Å. Cd(1) is bonded to two equivalent Mg(4), four equivalent Mg(1), four equivalent Mg(3), and two equivalent Mn(1) atoms to form CdMg10Mn2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Cd2 cuboctahedra, corners with six equivalent Cd(1)Mg10Mn2 cuboctahedra, corners with eight equivalent Mg(3)Mg8Mn2Cd2 cuboctahedra, edges with two equivalent Mg(4)Mg10Cd2 cuboctahedra, edges with four equivalent Mg(3)Mg8Mn2Cd2 cuboctahedra, edges with four equivalent Mn(1)Mg10Cd2 cuboctahedra, edges with eight equivalent Mg(1)Mg8Mn2Cd2 cuboctahedra, faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra, faces with two equivalent Mn(1)Mg10Cd2 cuboctahedra, faces with two equivalent Cd(1)Mg10Mn2 cuboctahedra, faces with four equivalent Mg(1)Mg8Mn2Cd2 cuboctahedra, faces with four equivalent Mg(3)Mg8Mn2Cd2 cuboctahedra, and faces with six equivalent Mg(2)Mg10Mn2 cuboctahedra.