MgZn 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(2), three equivalent Mg(1), three equivalent Zn(1), and four equivalent Zn(2) atoms to form distorted MgMg5Zn7 cuboctahedra that share corners with nine equivalent Mg(1)Mg5Zn7 cuboctahedra; corners with nine equivalent Zn(1)Mg8Zn4 cuboctahedra; edges with four equivalent Mg(2)Mg4Zn8 cuboctahedra; edges with six equivalent Mg(1)Mg5Zn7 cuboctahedra; edges with eight equivalent Zn(2)Mg7Zn5 cuboctahedra; faces with three equivalent Zn(1)Mg8Zn4 cuboctahedra; faces with four equivalent Mg(2)Mg4Zn8 cuboctahedra; faces with five Mg(1,1)Mg5Zn7 cuboctahedra; and faces with eight equivalent Zn(2)Mg7Zn5 cuboctahedra. In the second Mg site, Mg(1) is bonded to two equivalent Mg(2), three equivalent Mg(1), three equivalent Zn(1), and four equivalent Zn(2) atoms to form distorted MgMg5Zn7 cuboctahedra that share corners with nine equivalent Mg(1)Mg5Zn7 cuboctahedra; corners with nine equivalent Zn(1)Mg8Zn4 cuboctahedra; edges with four equivalent Mg(2)Mg4Zn8 cuboctahedra; edges with six equivalent Mg(1)Mg5Zn7 cuboctahedra; edges with eight equivalent Zn(2)Mg7Zn5 cuboctahedra; faces with three equivalent Zn(1)Mg8Zn4 cuboctahedra; faces with four equivalent Mg(2)Mg4Zn8 cuboctahedra; faces with five Mg(1,1)Mg5Zn7 cuboctahedra; and faces with eight equivalent Zn(2)Mg7Zn5 cuboctahedra. In the third Mg site, Mg(2) is bonded to four Mg(1,1); two equivalent Zn(1); and six equivalent Zn(2) atoms to form distorted MgMg4Zn8 cuboctahedra that share corners with eighteen equivalent Zn(2)Mg7Zn5 cuboctahedra; edges with four equivalent Zn(1)Mg8Zn4 cuboctahedra; edges with six equivalent Mg(2)Mg4Zn8 cuboctahedra; edges with eight Mg(1,1)Mg5Zn7 cuboctahedra; faces with two equivalent Mg(2)Mg4Zn8 cuboctahedra; faces with four equivalent Zn(1)Mg8Zn4 cuboctahedra; faces with six equivalent Zn(2)Mg7Zn5 cuboctahedra; and faces with eight Mg(1,1)Mg5Zn7 cuboctahedra. There are two inequivalent Zn sites. In the first Zn site, Zn(1) is bonded to two equivalent Mg(2); six Mg(1,1); and four equivalent Zn(2) atoms to form distorted ZnMg8Zn4 cuboctahedra that share corners with eighteen Mg(1,1)Mg5Zn7 cuboctahedra; edges with four equivalent Mg(2)Mg4Zn8 cuboctahedra; edges with six equivalent Zn(1)Mg8Zn4 cuboctahedra; edges with eight equivalent Zn(2)Mg7Zn5 cuboctahedra; faces with two equivalent Zn(1)Mg8Zn4 cuboctahedra; faces with four equivalent Mg(2)Mg4Zn8 cuboctahedra; faces with six Mg(1,1)Mg5Zn7 cuboctahedra; and faces with eight equivalent Zn(2)Mg7Zn5 cuboctahedra. In the second Zn site, Zn(2) is bonded to three equivalent Mg(2); four Mg(1,1); two equivalent Zn(1); and three equivalent Zn(2) atoms to form distorted ZnMg7Zn5 cuboctahedra that share corners with nine equivalent Mg(2)Mg4Zn8 cuboctahedra; corners with nine equivalent Zn(2)Mg7Zn5 cuboctahedra; edges with four equivalent Zn(1)Mg8Zn4 cuboctahedra; edges with six equivalent Zn(2)Mg7Zn5 cuboctahedra; edges with eight Mg(1,1)Mg5Zn7 cuboctahedra; faces with three equivalent Mg(2)Mg4Zn8 cuboctahedra; faces with four equivalent Zn(1)Mg8Zn4 cuboctahedra; faces with five equivalent Zn(2)Mg7Zn5 cuboctahedra; and faces with eight Mg(1,1)Mg5Zn7 cuboctahedra.
MgZn 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(2), three equivalent Mg(1), three equivalent Zn(1), and four equivalent Zn(2) atoms to form distorted MgMg5Zn7 cuboctahedra that share corners with nine equivalent Mg(1)Mg5Zn7 cuboctahedra; corners with nine equivalent Zn(1)Mg8Zn4 cuboctahedra; edges with four equivalent Mg(2)Mg4Zn8 cuboctahedra; edges with six equivalent Mg(1)Mg5Zn7 cuboctahedra; edges with eight equivalent Zn(2)Mg7Zn5 cuboctahedra; faces with three equivalent Zn(1)Mg8Zn4 cuboctahedra; faces with four equivalent Mg(2)Mg4Zn8 cuboctahedra; faces with five Mg(1,1)Mg5Zn7 cuboctahedra; and faces with eight equivalent Zn(2)Mg7Zn5 cuboctahedra. Both Mg(1)-Mg(2) bond lengths are 3.04 Å. There are two shorter (2.90 Å) and one longer (3.06 Å) Mg(1)-Mg(1) bond length. There are a spread of Mg(1)-Zn(1) bond distances ranging from 2.89-3.06 Å. There are two shorter (2.93 Å) and two longer (2.98 Å) Mg(1)-Zn(2) bond lengths. In the second Mg site, Mg(1) is bonded to two equivalent Mg(2), three equivalent Mg(1), three equivalent Zn(1), and four equivalent Zn(2) atoms to form distorted MgMg5Zn7 cuboctahedra that share corners with nine equivalent Mg(1)Mg5Zn7 cuboctahedra; corners with nine equivalent Zn(1)Mg8Zn4 cuboctahedra; edges with four equivalent Mg(2)Mg4Zn8 cuboctahedra; edges with six equivalent Mg(1)Mg5Zn7 cuboctahedra; edges with eight equivalent Zn(2)Mg7Zn5 cuboctahedra; faces with three equivalent Zn(1)Mg8Zn4 cuboctahedra; faces with four equivalent Mg(2)Mg4Zn8 cuboctahedra; faces with five Mg(1,1)Mg5Zn7 cuboctahedra; and faces with eight equivalent Zn(2)Mg7Zn5 cuboctahedra. Both Mg(1)-Mg(2) bond lengths are 3.04 Å. There are a spread of Mg(1)-Zn(1) bond distances ranging from 2.89-3.06 Å. There are two shorter (2.93 Å) and two longer (2.98 Å) Mg(1)-Zn(2) bond lengths. In the third Mg site, Mg(2) is bonded to four Mg(1,1); two equivalent Zn(1); and six equivalent Zn(2) atoms to form distorted MgMg4Zn8 cuboctahedra that share corners with eighteen equivalent Zn(2)Mg7Zn5 cuboctahedra; edges with four equivalent Zn(1)Mg8Zn4 cuboctahedra; edges with six equivalent Mg(2)Mg4Zn8 cuboctahedra; edges with eight Mg(1,1)Mg5Zn7 cuboctahedra; faces with two equivalent Mg(2)Mg4Zn8 cuboctahedra; faces with four equivalent Zn(1)Mg8Zn4 cuboctahedra; faces with six equivalent Zn(2)Mg7Zn5 cuboctahedra; and faces with eight Mg(1,1)Mg5Zn7 cuboctahedra. Both Mg(2)-Zn(1) bond lengths are 2.91 Å. There are a spread of Mg(2)-Zn(2) bond distances ranging from 2.82-3.03 Å. There are two inequivalent Zn sites. In the first Zn site, Zn(1) is bonded to two equivalent Mg(2); six Mg(1,1); and four equivalent Zn(2) atoms to form distorted ZnMg8Zn4 cuboctahedra that share corners with eighteen Mg(1,1)Mg5Zn7 cuboctahedra; edges with four equivalent Mg(2)Mg4Zn8 cuboctahedra; edges with six equivalent Zn(1)Mg8Zn4 cuboctahedra; edges with eight equivalent Zn(2)Mg7Zn5 cuboctahedra; faces with two equivalent Zn(1)Mg8Zn4 cuboctahedra; faces with four equivalent Mg(2)Mg4Zn8 cuboctahedra; faces with six Mg(1,1)Mg5Zn7 cuboctahedra; and faces with eight equivalent Zn(2)Mg7Zn5 cuboctahedra. All Zn(1)-Zn(2) bond lengths are 2.91 Å. In the second Zn site, Zn(2) is bonded to three equivalent Mg(2); four Mg(1,1); two equivalent Zn(1); and three equivalent Zn(2) atoms to form distorted ZnMg7Zn5 cuboctahedra that share corners with nine equivalent Mg(2)Mg4Zn8 cuboctahedra; corners with nine equivalent Zn(2)Mg7Zn5 cuboctahedra; edges with four equivalent Zn(1)Mg8Zn4 cuboctahedra; edges with six equivalent Zn(2)Mg7Zn5 cuboctahedra; edges with eight Mg(1,1)Mg5Zn7 cuboctahedra; faces with three equivalent Mg(2)Mg4Zn8 cuboctahedra; faces with four equivalent Zn(1)Mg8Zn4 cuboctahedra; faces with five equivalent Zn(2)Mg7Zn5 cuboctahedra; and faces with eight Mg(1,1)Mg5Zn7 cuboctahedra. There is one shorter (2.80 Å) and two longer (3.03 Å) Zn(2)-Zn(2) bond lengths.