MgZn2 crystallizes in the trigonal R32 space group. Mg(1) is bonded to three equivalent Mg(1); three equivalent Zn(2); and six Zn(1,1,1) atoms to form MgMg3Zn9 cuboctahedra that share corners with twelve equivalent Mg(1)Mg3Zn9 cuboctahedra; edges with six equivalent Mg(1)Mg3Zn9 cuboctahedra; edges with twelve Zn(1,1,1)Mg4Zn8 cuboctahedra; faces with four equivalent Mg(1)Mg3Zn9 cuboctahedra; and faces with twelve Zn(1,1,1)Mg4Zn8 cuboctahedra. There are five inequivalent Zn sites. In the first Zn site, Zn(1) is bonded to four equivalent Mg(1), two equivalent Zn(2), and six equivalent Zn(1) atoms to form distorted ZnMg4Zn8 cuboctahedra that share corners with eighteen Zn(1,1,1,1)Mg4Zn8 cuboctahedra; edges with six equivalent Zn(1)Mg4Zn8 cuboctahedra; edges with eight equivalent Mg(1)Mg3Zn9 cuboctahedra; faces with eight equivalent Mg(1)Mg3Zn9 cuboctahedra; and faces with eight equivalent Zn(1)Mg4Zn8 cuboctahedra. In the second Zn site, Zn(2) is bonded in a distorted hexagonal planar geometry to six equivalent Mg(1) and six Zn(1,1,1) atoms. In the third Zn site, Zn(1) is bonded to four equivalent Mg(1); two equivalent Zn(2); and six Zn(1,1) atoms to form distorted ZnMg4Zn8 cuboctahedra that share corners with eighteen Zn(1,1,1)Mg4Zn8 cuboctahedra; edges with six equivalent Zn(1)Mg4Zn8 cuboctahedra; edges with eight equivalent Mg(1)Mg3Zn9 cuboctahedra; faces with eight equivalent Mg(1)Mg3Zn9 cuboctahedra; and faces with eight Zn(1,1)Mg4Zn8 cuboctahedra. In the fourth Zn site, Zn(1) is bonded to four equivalent Mg(1); two equivalent Zn(2); and six Zn(1,1) atoms to form distorted ZnMg4Zn8 cuboctahedra that share corners with eighteen Zn(1,1)Mg4Zn8 cuboctahedra; edges with six equivalent Zn(1)Mg4Zn8 cuboctahedra; edges with eight equivalent Mg(1)Mg3Zn9 cuboctahedra; faces with eight equivalent Mg(1)Mg3Zn9 cuboctahedra; and faces with eight Zn(1,1,1)Mg4Zn8 cuboctahedra. In the fifth Zn site, Zn(1) is bonded to four equivalent Mg(1), two equivalent Zn(2), and six equivalent Zn(1) atoms to form distorted ZnMg4Zn8 cuboctahedra that share corners with eighteen Zn(1,1)Mg4Zn8 cuboctahedra; edges with six equivalent Zn(1)Mg4Zn8 cuboctahedra; edges with eight equivalent Mg(1)Mg3Zn9 cuboctahedra; faces with eight equivalent Mg(1)Mg3Zn9 cuboctahedra; and faces with eight Zn(1,1)Mg4Zn8 cuboctahedra.
MgZn2 crystallizes in the trigonal R32 space group. Mg(1) is bonded to three equivalent Mg(1); three equivalent Zn(2); and six Zn(1,1,1) atoms to form MgMg3Zn9 cuboctahedra that share corners with twelve equivalent Mg(1)Mg3Zn9 cuboctahedra; edges with six equivalent Mg(1)Mg3Zn9 cuboctahedra; edges with twelve Zn(1,1,1)Mg4Zn8 cuboctahedra; faces with four equivalent Mg(1)Mg3Zn9 cuboctahedra; and faces with twelve Zn(1,1,1)Mg4Zn8 cuboctahedra. All Mg(1)-Mg(1) bond lengths are 2.81 Å. All Mg(1)-Zn(2) bond lengths are 2.81 Å. There are three shorter (3.01 Å) and three longer (3.03 Å) Mg(1)-Zn(1,1,1) bond lengths. There are five inequivalent Zn sites. In the first Zn site, Zn(1) is bonded to four equivalent Mg(1), two equivalent Zn(2), and six equivalent Zn(1) atoms to form distorted ZnMg4Zn8 cuboctahedra that share corners with eighteen Zn(1,1,1,1)Mg4Zn8 cuboctahedra; edges with six equivalent Zn(1)Mg4Zn8 cuboctahedra; edges with eight equivalent Mg(1)Mg3Zn9 cuboctahedra; faces with eight equivalent Mg(1)Mg3Zn9 cuboctahedra; and faces with eight equivalent Zn(1)Mg4Zn8 cuboctahedra. Both Zn(1)-Zn(2) bond lengths are 3.01 Å. There are four shorter (2.79 Å) and two longer (2.85 Å) Zn(1)-Zn(1) bond lengths. In the second Zn site, Zn(2) is bonded in a distorted hexagonal planar geometry to six equivalent Mg(1) and six Zn(1,1,1) atoms. Both Zn(2)-Zn(1,1) bond lengths are 3.01 Å. In the third Zn site, Zn(1) is bonded to four equivalent Mg(1); two equivalent Zn(2); and six Zn(1,1) atoms to form distorted ZnMg4Zn8 cuboctahedra that share corners with eighteen Zn(1,1,1)Mg4Zn8 cuboctahedra; edges with six equivalent Zn(1)Mg4Zn8 cuboctahedra; edges with eight equivalent Mg(1)Mg3Zn9 cuboctahedra; faces with eight equivalent Mg(1)Mg3Zn9 cuboctahedra; and faces with eight Zn(1,1)Mg4Zn8 cuboctahedra. There are four shorter (2.79 Å) and two longer (2.85 Å) Zn(1)-Zn(1,1) bond lengths. In the fourth Zn site, Zn(1) is bonded to four equivalent Mg(1); two equivalent Zn(2); and six Zn(1,1) atoms to form distorted ZnMg4Zn8 cuboctahedra that share corners with eighteen Zn(1,1)Mg4Zn8 cuboctahedra; edges with six equivalent Zn(1)Mg4Zn8 cuboctahedra; edges with eight equivalent Mg(1)Mg3Zn9 cuboctahedra; faces with eight equivalent Mg(1)Mg3Zn9 cuboctahedra; and faces with eight Zn(1,1,1)Mg4Zn8 cuboctahedra. There are two shorter (2.79 Å) and one longer (2.85 Å) Zn(1)-Zn(1) bond length. In the fifth Zn site, Zn(1) is bonded to four equivalent Mg(1), two equivalent Zn(2), and six equivalent Zn(1) atoms to form distorted ZnMg4Zn8 cuboctahedra that share corners with eighteen Zn(1,1)Mg4Zn8 cuboctahedra; edges with six equivalent Zn(1)Mg4Zn8 cuboctahedra; edges with eight equivalent Mg(1)Mg3Zn9 cuboctahedra; faces with eight equivalent Mg(1)Mg3Zn9 cuboctahedra; and faces with eight Zn(1,1)Mg4Zn8 cuboctahedra. There are two shorter (3.01 Å) and two longer (3.03 Å) Zn(1)-Mg(1) bond lengths. Both Zn(1)-Zn(2) bond lengths are 3.01 Å. There are four shorter (2.79 Å) and two longer (2.85 Å) Zn(1)-Zn(1) bond lengths.