Mg6MnCo 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 Co(1) atoms to form distorted MgMg8Mn2Co2 cuboctahedra that share corners with four equivalent Mg(2)Mg10Mn2 cuboctahedra, corners with four equivalent Mn(1)Mg10Co2 cuboctahedra, corners with ten equivalent Mg(1)Mg8Mn2Co2 cuboctahedra, edges with two equivalent Mg(2)Mg10Mn2 cuboctahedra, edges with two equivalent Mg(1)Mg8Mn2Co2 cuboctahedra, edges with two equivalent Mn(1)Mg10Co2 cuboctahedra, edges with four equivalent Mg(4)Mg10Co2 cuboctahedra, edges with four equivalent Co(1)Mg10Mn2 cuboctahedra, faces with two equivalent Mg(4)Mg10Co2 cuboctahedra, faces with two equivalent Mg(2)Mg10Mn2 cuboctahedra, faces with two equivalent Mn(1)Mg10Co2 cuboctahedra, faces with two equivalent Co(1)Mg10Mn2 cuboctahedra, and faces with four equivalent Mg(1)Mg8Mn2Co2 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 distorted MgMg10Mn2 cuboctahedra that share corners with four equivalent Mn(1)Mg10Co2 cuboctahedra, corners with six equivalent Mg(2)Mg10Mn2 cuboctahedra, corners with eight equivalent Mg(1)Mg8Mn2Co2 cuboctahedra, edges with two equivalent Mn(1)Mg10Co2 cuboctahedra, edges with four equivalent Mg(4)Mg10Co2 cuboctahedra, edges with four equivalent Mg(1)Mg8Mn2Co2 cuboctahedra, faces with two equivalent Mg(4)Mg10Co2 cuboctahedra, faces with two equivalent Mg(2)Mg10Mn2 cuboctahedra, faces with two equivalent Mn(1)Mg10Co2 cuboctahedra, faces with four equivalent Mg(1)Mg8Mn2Co2 cuboctahedra, and faces with six equivalent Co(1)Mg10Mn2 cuboctahedra. In the third 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 Mn(1), and two equivalent Co(1) atoms. 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 Co(1) atoms to form distorted MgMg10Co2 cuboctahedra that share corners with four equivalent Co(1)Mg10Mn2 cuboctahedra, corners with six equivalent Mg(4)Mg10Co2 cuboctahedra, edges with two equivalent Co(1)Mg10Mn2 cuboctahedra, edges with four equivalent Mg(2)Mg10Mn2 cuboctahedra, edges with eight equivalent Mg(1)Mg8Mn2Co2 cuboctahedra, faces with two equivalent Mg(4)Mg10Co2 cuboctahedra, faces with two equivalent Mg(2)Mg10Mn2 cuboctahedra, faces with two equivalent Co(1)Mg10Mn2 cuboctahedra, faces with four equivalent Mg(1)Mg8Mn2Co2 cuboctahedra, and faces with six equivalent Mn(1)Mg10Co2 cuboctahedra. Mn(1) is bonded to two equivalent Mg(2), four equivalent Mg(1), four equivalent Mg(3), and two equivalent Co(1) atoms to form distorted MnMg10Co2 cuboctahedra that share corners with four equivalent Mg(2)Mg10Mn2 cuboctahedra, corners with six equivalent Mn(1)Mg10Co2 cuboctahedra, corners with eight equivalent Mg(1)Mg8Mn2Co2 cuboctahedra, edges with two equivalent Mg(2)Mg10Mn2 cuboctahedra, edges with four equivalent Mg(1)Mg8Mn2Co2 cuboctahedra, edges with four equivalent Co(1)Mg10Mn2 cuboctahedra, faces with two equivalent Mg(2)Mg10Mn2 cuboctahedra, faces with two equivalent Mn(1)Mg10Co2 cuboctahedra, faces with two equivalent Co(1)Mg10Mn2 cuboctahedra, faces with four equivalent Mg(1)Mg8Mn2Co2 cuboctahedra, and faces with six equivalent Mg(4)Mg10Co2 cuboctahedra. Co(1) is bonded to two equivalent Mg(4), four equivalent Mg(1), four equivalent Mg(3), and two equivalent Mn(1) atoms to form distorted CoMg10Mn2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Co2 cuboctahedra, corners with six equivalent Co(1)Mg10Mn2 cuboctahedra, edges with two equivalent Mg(4)Mg10Co2 cuboctahedra, edges with four equivalent Mn(1)Mg10Co2 cuboctahedra, edges with eight equivalent Mg(1)Mg8Mn2Co2 cuboctahedra, faces with two equivalent Mg(4)Mg10Co2 cuboctahedra, faces with two equivalent Mn(1)Mg10Co2 cuboctahedra, faces with two equivalent Co(1)Mg10Mn2 cuboctahedra, faces with four equivalent Mg(1)Mg8Mn2Co2 cuboctahedra, and faces with six equivalent Mg(2)Mg10Mn2 cuboctahedra.
Mg6MnCo 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 Co(1) atoms to form distorted MgMg8Mn2Co2 cuboctahedra that share corners with four equivalent Mg(2)Mg10Mn2 cuboctahedra, corners with four equivalent Mn(1)Mg10Co2 cuboctahedra, corners with ten equivalent Mg(1)Mg8Mn2Co2 cuboctahedra, edges with two equivalent Mg(2)Mg10Mn2 cuboctahedra, edges with two equivalent Mg(1)Mg8Mn2Co2 cuboctahedra, edges with two equivalent Mn(1)Mg10Co2 cuboctahedra, edges with four equivalent Mg(4)Mg10Co2 cuboctahedra, edges with four equivalent Co(1)Mg10Mn2 cuboctahedra, faces with two equivalent Mg(4)Mg10Co2 cuboctahedra, faces with two equivalent Mg(2)Mg10Mn2 cuboctahedra, faces with two equivalent Mn(1)Mg10Co2 cuboctahedra, faces with two equivalent Co(1)Mg10Mn2 cuboctahedra, and faces with four equivalent Mg(1)Mg8Mn2Co2 cuboctahedra. There is one shorter (2.84 Å) and one longer (3.18 Å) Mg(1)-Mg(1) bond length. There is one shorter (3.04 Å) and one longer (3.05 Å) Mg(1)-Mg(2) bond length. Both Mg(1)-Mg(3) bond lengths are 3.03 Å. Both Mg(1)-Mg(4) bond lengths are 2.98 Å. There is one shorter (2.82 Å) and one longer (3.27 Å) Mg(1)-Mn(1) bond length. Both Mg(1)-Co(1) bond lengths are 2.96 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 distorted MgMg10Mn2 cuboctahedra that share corners with four equivalent Mn(1)Mg10Co2 cuboctahedra, corners with six equivalent Mg(2)Mg10Mn2 cuboctahedra, corners with eight equivalent Mg(1)Mg8Mn2Co2 cuboctahedra, edges with two equivalent Mn(1)Mg10Co2 cuboctahedra, edges with four equivalent Mg(4)Mg10Co2 cuboctahedra, edges with four equivalent Mg(1)Mg8Mn2Co2 cuboctahedra, faces with two equivalent Mg(4)Mg10Co2 cuboctahedra, faces with two equivalent Mg(2)Mg10Mn2 cuboctahedra, faces with two equivalent Mn(1)Mg10Co2 cuboctahedra, faces with four equivalent Mg(1)Mg8Mn2Co2 cuboctahedra, and faces with six equivalent Co(1)Mg10Mn2 cuboctahedra. Both Mg(2)-Mg(4) bond lengths are 2.97 Å. All Mg(2)-Mg(3) bond lengths are 2.97 Å. Both Mg(2)-Mn(1) bond lengths are 3.02 Å. In the third 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 Mn(1), and two equivalent Co(1) atoms. There is one shorter (2.89 Å) and one longer (3.14 Å) Mg(3)-Mg(3) bond length. There is one shorter (3.03 Å) and one longer (3.06 Å) Mg(3)-Mg(4) bond length. Both Mg(3)-Mn(1) bond lengths are 2.96 Å. There is one shorter (2.80 Å) and one longer (3.29 Å) Mg(3)-Co(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 Co(1) atoms to form distorted MgMg10Co2 cuboctahedra that share corners with four equivalent Co(1)Mg10Mn2 cuboctahedra, corners with six equivalent Mg(4)Mg10Co2 cuboctahedra, edges with two equivalent Co(1)Mg10Mn2 cuboctahedra, edges with four equivalent Mg(2)Mg10Mn2 cuboctahedra, edges with eight equivalent Mg(1)Mg8Mn2Co2 cuboctahedra, faces with two equivalent Mg(4)Mg10Co2 cuboctahedra, faces with two equivalent Mg(2)Mg10Mn2 cuboctahedra, faces with two equivalent Co(1)Mg10Mn2 cuboctahedra, faces with four equivalent Mg(1)Mg8Mn2Co2 cuboctahedra, and faces with six equivalent Mn(1)Mg10Co2 cuboctahedra. Both Mg(4)-Co(1) bond lengths are 3.02 Å. Mn(1) is bonded to two equivalent Mg(2), four equivalent Mg(1), four equivalent Mg(3), and two equivalent Co(1) atoms to form distorted MnMg10Co2 cuboctahedra that share corners with four equivalent Mg(2)Mg10Mn2 cuboctahedra, corners with six equivalent Mn(1)Mg10Co2 cuboctahedra, corners with eight equivalent Mg(1)Mg8Mn2Co2 cuboctahedra, edges with two equivalent Mg(2)Mg10Mn2 cuboctahedra, edges with four equivalent Mg(1)Mg8Mn2Co2 cuboctahedra, edges with four equivalent Co(1)Mg10Mn2 cuboctahedra, faces with two equivalent Mg(2)Mg10Mn2 cuboctahedra, faces with two equivalent Mn(1)Mg10Co2 cuboctahedra, faces with two equivalent Co(1)Mg10Mn2 cuboctahedra, faces with four equivalent Mg(1)Mg8Mn2Co2 cuboctahedra, and faces with six equivalent Mg(4)Mg10Co2 cuboctahedra. Both Mn(1)-Co(1) bond lengths are 2.77 Å. Co(1) is bonded to two equivalent Mg(4), four equivalent Mg(1), four equivalent Mg(3), and two equivalent Mn(1) atoms to form distorted CoMg10Mn2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Co2 cuboctahedra, corners with six equivalent Co(1)Mg10Mn2 cuboctahedra, edges with two equivalent Mg(4)Mg10Co2 cuboctahedra, edges with four equivalent Mn(1)Mg10Co2 cuboctahedra, edges with eight equivalent Mg(1)Mg8Mn2Co2 cuboctahedra, faces with two equivalent Mg(4)Mg10Co2 cuboctahedra, faces with two equivalent Mn(1)Mg10Co2 cuboctahedra, faces with two equivalent Co(1)Mg10Mn2 cuboctahedra, faces with four equivalent Mg(1)Mg8Mn2Co2 cuboctahedra, and faces with six equivalent Mg(2)Mg10Mn2 cuboctahedra.