Mg6CoCd crystallizes in the orthorhombic Amm2 space group. There are seven 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 Co(1), and two equivalent Cd(1) atoms to form distorted MgMg8Cd2Co2 cuboctahedra that share corners with four equivalent Mg(2)Mg10Co2 cuboctahedra; corners with four equivalent Co(1)Mg10Cd2 cuboctahedra; corners with ten Mg(1,1)Mg8Cd2Co2 cuboctahedra; edges with two equivalent Mg(2)Mg10Co2 cuboctahedra; edges with two equivalent Mg(1)Mg8Cd2Co2 cuboctahedra; edges with two equivalent Co(1)Mg10Cd2 cuboctahedra; edges with four equivalent Mg(4)Mg10Cd2 cuboctahedra; edges with four equivalent Cd(1)Mg10Co2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra; faces with two equivalent Mg(2)Mg10Co2 cuboctahedra; faces with two equivalent Co(1)Mg10Cd2 cuboctahedra; faces with two equivalent Cd(1)Mg10Co2 cuboctahedra; and faces with four Mg(1,1)Mg8Cd2Co2 cuboctahedra. In the second 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 Co(1), and two equivalent Cd(1) atoms to form distorted MgMg8Cd2Co2 cuboctahedra that share corners with four equivalent Mg(2)Mg10Co2 cuboctahedra; corners with four equivalent Co(1)Mg10Cd2 cuboctahedra; corners with ten Mg(1,1,1)Mg8Cd2Co2 cuboctahedra; edges with two equivalent Mg(2)Mg10Co2 cuboctahedra; edges with two equivalent Mg(1)Mg8Cd2Co2 cuboctahedra; edges with two equivalent Co(1)Mg10Cd2 cuboctahedra; edges with four equivalent Mg(4)Mg10Cd2 cuboctahedra; edges with four equivalent Cd(1)Mg10Co2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra; faces with two equivalent Mg(2)Mg10Co2 cuboctahedra; faces with two equivalent Co(1)Mg10Cd2 cuboctahedra; faces with two equivalent Cd(1)Mg10Co2 cuboctahedra; and faces with four Mg(1,1)Mg8Cd2Co2 cuboctahedra. In the third Mg site, Mg(2) is bonded to two equivalent Mg(4); four Mg(1,1,1); four Mg(3,3); and two equivalent Co(1) atoms to form distorted MgMg10Co2 cuboctahedra that share corners with four equivalent Co(1)Mg10Cd2 cuboctahedra; corners with six equivalent Mg(2)Mg10Co2 cuboctahedra; corners with eight Mg(1,1,1)Mg8Cd2Co2 cuboctahedra; edges with two equivalent Co(1)Mg10Cd2 cuboctahedra; edges with four equivalent Mg(4)Mg10Cd2 cuboctahedra; edges with four Mg(1,1,1)Mg8Cd2Co2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra; faces with two equivalent Mg(2)Mg10Co2 cuboctahedra; faces with two equivalent Co(1)Mg10Cd2 cuboctahedra; faces with four Mg(1,1,1)Mg8Cd2Co2 cuboctahedra; and faces with six equivalent Cd(1)Mg10Co2 cuboctahedra. In the fourth Mg site, Mg(3) is bonded in a 12-coordinate geometry to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Co(1), and two equivalent Cd(1) atoms. In the fifth Mg site, Mg(3) is bonded in a 12-coordinate geometry to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Co(1), and two equivalent Cd(1) atoms. In the sixth Mg site, Mg(4) is bonded to two equivalent Mg(2); four Mg(1,1); four Mg(3,3); and two equivalent Cd(1) atoms to form MgMg10Cd2 cuboctahedra that share corners with four equivalent Cd(1)Mg10Co2 cuboctahedra; corners with six equivalent Mg(4)Mg10Cd2 cuboctahedra; edges with two equivalent Cd(1)Mg10Co2 cuboctahedra; edges with four equivalent Mg(2)Mg10Co2 cuboctahedra; edges with eight Mg(1,1,1)Mg8Cd2Co2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra; faces with two equivalent Mg(2)Mg10Co2 cuboctahedra; faces with two equivalent Cd(1)Mg10Co2 cuboctahedra; faces with four Mg(1,1)Mg8Cd2Co2 cuboctahedra; and faces with six equivalent Co(1)Mg10Cd2 cuboctahedra. In the seventh 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 Co(1), and two equivalent Cd(1) atoms to form distorted MgMg8Cd2Co2 cuboctahedra that share corners with four equivalent Mg(2)Mg10Co2 cuboctahedra; corners with four equivalent Co(1)Mg10Cd2 cuboctahedra; corners with ten Mg(1,1)Mg8Cd2Co2 cuboctahedra; edges with two equivalent Mg(2)Mg10Co2 cuboctahedra; edges with two equivalent Mg(1)Mg8Cd2Co2 cuboctahedra; edges with two equivalent Co(1)Mg10Cd2 cuboctahedra; edges with four equivalent Mg(4)Mg10Cd2 cuboctahedra; edges with four equivalent Cd(1)Mg10Co2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra; faces with two equivalent Mg(2)Mg10Co2 cuboctahedra; faces with two equivalent Co(1)Mg10Cd2 cuboctahedra; faces with two equivalent Cd(1)Mg10Co2 cuboctahedra; and faces with four Mg(1,1)Mg8Cd2Co2 cuboctahedra. Co(1) is bonded to two equivalent Mg(2); four Mg(1,1,1); four Mg(3,3); and two equivalent Cd(1) atoms to form CoMg10Cd2 cuboctahedra that share corners with four equivalent Mg(2)Mg10Co2 cuboctahedra; corners with six equivalent Co(1)Mg10Cd2 cuboctahedra; corners with eight Mg(1,1,1)Mg8Cd2Co2 cuboctahedra; edges with two equivalent Mg(2)Mg10Co2 cuboctahedra; edges with four Mg(1,1,1)Mg8Cd2Co2 cuboctahedra; edges with four equivalent Cd(1)Mg10Co2 cuboctahedra; faces with two equivalent Mg(2)Mg10Co2 cuboctahedra; faces with two equivalent Co(1)Mg10Cd2 cuboctahedra; faces with two equivalent Cd(1)Mg10Co2 cuboctahedra; faces with four Mg(1,1,1)Mg8Cd2Co2 cuboctahedra; and faces with six equivalent Mg(4)Mg10Cd2 cuboctahedra. Cd(1) is bonded to two equivalent Mg(4); four Mg(1,1); four Mg(3,3); and two equivalent Co(1) atoms to form CdMg10Co2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Cd2 cuboctahedra; corners with six equivalent Cd(1)Mg10Co2 cuboctahedra; edges with two equivalent Mg(4)Mg10Cd2 cuboctahedra; edges with four equivalent Co(1)Mg10Cd2 cuboctahedra; edges with eight Mg(1,1,1)Mg8Cd2Co2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra; faces with two equivalent Co(1)Mg10Cd2 cuboctahedra; faces with two equivalent Cd(1)Mg10Co2 cuboctahedra; faces with four Mg(1,1)Mg8Cd2Co2 cuboctahedra; and faces with six equivalent Mg(2)Mg10Co2 cuboctahedra.
Mg6CoCd crystallizes in the orthorhombic Amm2 space group. There are seven 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 Co(1), and two equivalent Cd(1) atoms to form distorted MgMg8Cd2Co2 cuboctahedra that share corners with four equivalent Mg(2)Mg10Co2 cuboctahedra; corners with four equivalent Co(1)Mg10Cd2 cuboctahedra; corners with ten Mg(1,1)Mg8Cd2Co2 cuboctahedra; edges with two equivalent Mg(2)Mg10Co2 cuboctahedra; edges with two equivalent Mg(1)Mg8Cd2Co2 cuboctahedra; edges with two equivalent Co(1)Mg10Cd2 cuboctahedra; edges with four equivalent Mg(4)Mg10Cd2 cuboctahedra; edges with four equivalent Cd(1)Mg10Co2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra; faces with two equivalent Mg(2)Mg10Co2 cuboctahedra; faces with two equivalent Co(1)Mg10Cd2 cuboctahedra; faces with two equivalent Cd(1)Mg10Co2 cuboctahedra; and faces with four Mg(1,1)Mg8Cd2Co2 cuboctahedra. Both Mg(1)-Mg(1) bond lengths are 3.08 Å. There is one shorter (3.05 Å) and one longer (3.06 Å) Mg(1)-Mg(2) bond length. Both Mg(1)-Mg(3) bond lengths are 3.07 Å. Both Mg(1)-Mg(4) bond lengths are 3.02 Å. There is one shorter (2.95 Å) and one longer (3.16 Å) Mg(1)-Co(1) bond length. Both Mg(1)-Cd(1) bond lengths are 3.03 Å. In the second 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 Co(1), and two equivalent Cd(1) atoms to form distorted MgMg8Cd2Co2 cuboctahedra that share corners with four equivalent Mg(2)Mg10Co2 cuboctahedra; corners with four equivalent Co(1)Mg10Cd2 cuboctahedra; corners with ten Mg(1,1,1)Mg8Cd2Co2 cuboctahedra; edges with two equivalent Mg(2)Mg10Co2 cuboctahedra; edges with two equivalent Mg(1)Mg8Cd2Co2 cuboctahedra; edges with two equivalent Co(1)Mg10Cd2 cuboctahedra; edges with four equivalent Mg(4)Mg10Cd2 cuboctahedra; edges with four equivalent Cd(1)Mg10Co2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra; faces with two equivalent Mg(2)Mg10Co2 cuboctahedra; faces with two equivalent Co(1)Mg10Cd2 cuboctahedra; faces with two equivalent Cd(1)Mg10Co2 cuboctahedra; and faces with four Mg(1,1)Mg8Cd2Co2 cuboctahedra. There is one shorter (3.05 Å) and one longer (3.06 Å) Mg(1)-Mg(2) bond length. Both Mg(1)-Mg(3) bond lengths are 3.07 Å. Both Mg(1)-Mg(4) bond lengths are 3.02 Å. There is one shorter (2.95 Å) and one longer (3.16 Å) Mg(1)-Co(1) bond length. Both Mg(1)-Cd(1) bond lengths are 3.03 Å. In the third Mg site, Mg(2) is bonded to two equivalent Mg(4); four Mg(1,1,1); four Mg(3,3); and two equivalent Co(1) atoms to form distorted MgMg10Co2 cuboctahedra that share corners with four equivalent Co(1)Mg10Cd2 cuboctahedra; corners with six equivalent Mg(2)Mg10Co2 cuboctahedra; corners with eight Mg(1,1,1)Mg8Cd2Co2 cuboctahedra; edges with two equivalent Co(1)Mg10Cd2 cuboctahedra; edges with four equivalent Mg(4)Mg10Cd2 cuboctahedra; edges with four Mg(1,1,1)Mg8Cd2Co2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra; faces with two equivalent Mg(2)Mg10Co2 cuboctahedra; faces with two equivalent Co(1)Mg10Cd2 cuboctahedra; faces with four Mg(1,1,1)Mg8Cd2Co2 cuboctahedra; and faces with six equivalent Cd(1)Mg10Co2 cuboctahedra. Both Mg(2)-Mg(4) bond lengths are 3.02 Å. The Mg(2)-Mg(1) bond length is 3.06 Å. All Mg(2)-Mg(3,3) bond lengths are 3.04 Å. Both Mg(2)-Co(1) bond lengths are 3.08 Å. In the fourth Mg site, Mg(3) is bonded in a 12-coordinate geometry to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Co(1), and two equivalent Cd(1) atoms. There is one shorter (2.90 Å) and one longer (3.25 Å) Mg(3)-Mg(3) bond length. There is one shorter (3.03 Å) and one longer (3.08 Å) Mg(3)-Mg(4) bond length. Both Mg(3)-Co(1) bond lengths are 2.92 Å. There is one shorter (2.92 Å) and one longer (3.19 Å) Mg(3)-Cd(1) bond length. In the fifth Mg site, Mg(3) is bonded in a 12-coordinate geometry to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Co(1), and two equivalent Cd(1) atoms. There is one shorter (3.03 Å) and one longer (3.08 Å) Mg(3)-Mg(4) bond length. Both Mg(3)-Co(1) bond lengths are 2.92 Å. There is one shorter (2.92 Å) and one longer (3.19 Å) Mg(3)-Cd(1) bond length. In the sixth Mg site, Mg(4) is bonded to two equivalent Mg(2); four Mg(1,1); four Mg(3,3); and two equivalent Cd(1) atoms to form MgMg10Cd2 cuboctahedra that share corners with four equivalent Cd(1)Mg10Co2 cuboctahedra; corners with six equivalent Mg(4)Mg10Cd2 cuboctahedra; edges with two equivalent Cd(1)Mg10Co2 cuboctahedra; edges with four equivalent Mg(2)Mg10Co2 cuboctahedra; edges with eight Mg(1,1,1)Mg8Cd2Co2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra; faces with two equivalent Mg(2)Mg10Co2 cuboctahedra; faces with two equivalent Cd(1)Mg10Co2 cuboctahedra; faces with four Mg(1,1)Mg8Cd2Co2 cuboctahedra; and faces with six equivalent Co(1)Mg10Cd2 cuboctahedra. Both Mg(4)-Mg(1) bond lengths are 3.02 Å. Both Mg(4)-Cd(1) bond lengths are 3.08 Å. In the seventh 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 Co(1), and two equivalent Cd(1) atoms to form distorted MgMg8Cd2Co2 cuboctahedra that share corners with four equivalent Mg(2)Mg10Co2 cuboctahedra; corners with four equivalent Co(1)Mg10Cd2 cuboctahedra; corners with ten Mg(1,1)Mg8Cd2Co2 cuboctahedra; edges with two equivalent Mg(2)Mg10Co2 cuboctahedra; edges with two equivalent Mg(1)Mg8Cd2Co2 cuboctahedra; edges with two equivalent Co(1)Mg10Cd2 cuboctahedra; edges with four equivalent Mg(4)Mg10Cd2 cuboctahedra; edges with four equivalent Cd(1)Mg10Co2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra; faces with two equivalent Mg(2)Mg10Co2 cuboctahedra; faces with two equivalent Co(1)Mg10Cd2 cuboctahedra; faces with two equivalent Cd(1)Mg10Co2 cuboctahedra; and faces with four Mg(1,1)Mg8Cd2Co2 cuboctahedra. Both Mg(1)-Mg(1) bond lengths are 3.08 Å. Both Mg(1)-Mg(3) bond lengths are 3.07 Å. There is one shorter (2.95 Å) and one longer (3.16 Å) Mg(1)-Co(1) bond length. Both Mg(1)-Cd(1) bond lengths are 3.03 Å. Co(1) is bonded to two equivalent Mg(2); four Mg(1,1,1); four Mg(3,3); and two equivalent Cd(1) atoms to form CoMg10Cd2 cuboctahedra that share corners with four equivalent Mg(2)Mg10Co2 cuboctahedra; corners with six equivalent Co(1)Mg10Cd2 cuboctahedra; corners with eight Mg(1,1,1)Mg8Cd2Co2 cuboctahedra; edges with two equivalent Mg(2)Mg10Co2 cuboctahedra; edges with four Mg(1,1,1)Mg8Cd2Co2 cuboctahedra; edges with four equivalent Cd(1)Mg10Co2 cuboctahedra; faces with two equivalent Mg(2)Mg10Co2 cuboctahedra; faces with two equivalent Co(1)Mg10Cd2 cuboctahedra; faces with two equivalent Cd(1)Mg10Co2 cuboctahedra; faces with four Mg(1,1,1)Mg8Cd2Co2 cuboctahedra; and faces with six equivalent Mg(4)Mg10Cd2 cuboctahedra. Both Co(1)-Cd(1) bond lengths are 3.07 Å. Cd(1) is bonded to two equivalent Mg(4); four Mg(1,1); four Mg(3,3); and two equivalent Co(1) atoms to form CdMg10Co2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Cd2 cuboctahedra; corners with six equivalent Cd(1)Mg10Co2 cuboctahedra; edges with two equivalent Mg(4)Mg10Cd2 cuboctahedra; edges with four equivalent Co(1)Mg10Cd2 cuboctahedra; edges with eight Mg(1,1,1)Mg8Cd2Co2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra; faces with two equivalent Co(1)Mg10Cd2 cuboctahedra; faces with two equivalent Cd(1)Mg10Co2 cuboctahedra; faces with four Mg(1,1)Mg8Cd2Co2 cuboctahedra; and faces with six equivalent Mg(2)Mg10Co2 cuboctahedra.