MgZn5 crystallizes in the monoclinic Cm space group. Mg(1) is bonded to two equivalent Mg(1), one Zn(4), two equivalent Zn(1), two equivalent Zn(3), two equivalent Zn(5), and three equivalent Zn(2) atoms to form distorted MgMg2Zn10 cuboctahedra that share corners with six equivalent Mg(1)Mg2Zn10 cuboctahedra, corners with six equivalent Zn(3)Mg2Zn10 cuboctahedra, corners with six equivalent Zn(5)Mg2Zn10 cuboctahedra, edges with two equivalent Zn(2)Mg3Zn9 cuboctahedra, edges with three equivalent Zn(3)Mg2Zn10 cuboctahedra, edges with three equivalent Zn(5)Mg2Zn10 cuboctahedra, edges with four equivalent Zn(4)MgZn11 cuboctahedra, edges with six equivalent Zn(1)Mg2Zn10 cuboctahedra, faces with two equivalent Mg(1)Mg2Zn10 cuboctahedra, faces with three equivalent Zn(1)Mg2Zn10 cuboctahedra, faces with three equivalent Zn(3)Mg2Zn10 cuboctahedra, faces with three equivalent Zn(5)Mg2Zn10 cuboctahedra, faces with four equivalent Zn(4)MgZn11 cuboctahedra, and faces with five equivalent Zn(2)Mg3Zn9 cuboctahedra. There are five inequivalent Zn sites. In the first Zn site, Zn(1) is bonded to two equivalent Mg(1), one Zn(3), two equivalent Zn(1), two equivalent Zn(2), two equivalent Zn(4), and three equivalent Zn(5) atoms to form distorted ZnMg2Zn10 cuboctahedra that share corners with six equivalent Zn(1)Mg2Zn10 cuboctahedra, corners with six equivalent Zn(2)Mg3Zn9 cuboctahedra, corners with six equivalent Zn(4)MgZn11 cuboctahedra, edges with two equivalent Zn(5)Mg2Zn10 cuboctahedra, edges with three equivalent Zn(2)Mg3Zn9 cuboctahedra, edges with three equivalent Zn(4)MgZn11 cuboctahedra, edges with four equivalent Zn(3)Mg2Zn10 cuboctahedra, edges with six equivalent Mg(1)Mg2Zn10 cuboctahedra, faces with two equivalent Zn(1)Mg2Zn10 cuboctahedra, faces with three equivalent Mg(1)Mg2Zn10 cuboctahedra, faces with three equivalent Zn(2)Mg3Zn9 cuboctahedra, faces with three equivalent Zn(4)MgZn11 cuboctahedra, faces with four equivalent Zn(3)Mg2Zn10 cuboctahedra, and faces with five equivalent Zn(5)Mg2Zn10 cuboctahedra. In the second Zn site, Zn(2) is bonded to three equivalent Mg(1), one Zn(5), two equivalent Zn(1), two equivalent Zn(2), two equivalent Zn(3), and two equivalent Zn(4) atoms to form distorted ZnMg3Zn9 cuboctahedra that share corners with six equivalent Zn(1)Mg2Zn10 cuboctahedra, corners with six equivalent Zn(2)Mg3Zn9 cuboctahedra, corners with six equivalent Zn(4)MgZn11 cuboctahedra, edges with two equivalent Mg(1)Mg2Zn10 cuboctahedra, edges with three equivalent Zn(1)Mg2Zn10 cuboctahedra, edges with three equivalent Zn(4)MgZn11 cuboctahedra, edges with four equivalent Zn(5)Mg2Zn10 cuboctahedra, edges with six equivalent Zn(3)Mg2Zn10 cuboctahedra, faces with two equivalent Zn(2)Mg3Zn9 cuboctahedra, faces with three equivalent Zn(1)Mg2Zn10 cuboctahedra, faces with three equivalent Zn(3)Mg2Zn10 cuboctahedra, faces with three equivalent Zn(4)MgZn11 cuboctahedra, faces with four equivalent Zn(5)Mg2Zn10 cuboctahedra, and faces with five equivalent Mg(1)Mg2Zn10 cuboctahedra. In the third Zn site, Zn(3) is bonded to two equivalent Mg(1), one Zn(1), two equivalent Zn(2), two equivalent Zn(3), two equivalent Zn(5), and three equivalent Zn(4) atoms to form ZnMg2Zn10 cuboctahedra that share corners with six equivalent Mg(1)Mg2Zn10 cuboctahedra, corners with six equivalent Zn(3)Mg2Zn10 cuboctahedra, corners with six equivalent Zn(5)Mg2Zn10 cuboctahedra, edges with two equivalent Zn(4)MgZn11 cuboctahedra, edges with three equivalent Mg(1)Mg2Zn10 cuboctahedra, edges with three equivalent Zn(5)Mg2Zn10 cuboctahedra, edges with four equivalent Zn(1)Mg2Zn10 cuboctahedra, edges with six equivalent Zn(2)Mg3Zn9 cuboctahedra, faces with two equivalent Zn(3)Mg2Zn10 cuboctahedra, faces with three equivalent Mg(1)Mg2Zn10 cuboctahedra, faces with three equivalent Zn(5)Mg2Zn10 cuboctahedra, faces with three equivalent Zn(2)Mg3Zn9 cuboctahedra, faces with four equivalent Zn(1)Mg2Zn10 cuboctahedra, and faces with five equivalent Zn(4)MgZn11 cuboctahedra. In the fourth Zn site, Zn(4) is bonded to one Mg(1), two equivalent Zn(1), two equivalent Zn(2), two equivalent Zn(4), two equivalent Zn(5), and three equivalent Zn(3) atoms to form distorted ZnMgZn11 cuboctahedra that share corners with six equivalent Zn(1)Mg2Zn10 cuboctahedra, corners with six equivalent Zn(2)Mg3Zn9 cuboctahedra, corners with six equivalent Zn(4)MgZn11 cuboctahedra, edges with two equivalent Zn(3)Mg2Zn10 cuboctahedra, edges with three equivalent Zn(1)Mg2Zn10 cuboctahedra, edges with three equivalent Zn(2)Mg3Zn9 cuboctahedra, edges with four equivalent Mg(1)Mg2Zn10 cuboctahedra, edges with six equivalent Zn(5)Mg2Zn10 cuboctahedra, faces with two equivalent Zn(4)MgZn11 cuboctahedra, faces with three equivalent Zn(1)Mg2Zn10 cuboctahedra, faces with three equivalent Zn(5)Mg2Zn10 cuboctahedra, faces with three equivalent Zn(2)Mg3Zn9 cuboctahedra, faces with four equivalent Mg(1)Mg2Zn10 cuboctahedra, and faces with five equivalent Zn(3)Mg2Zn10 cuboctahedra. In the fifth Zn site, Zn(5) is bonded to two equivalent Mg(1), one Zn(2), two equivalent Zn(3), two equivalent Zn(4), two equivalent Zn(5), and three equivalent Zn(1) atoms to form distorted ZnMg2Zn10 cuboctahedra that share corners with six equivalent Mg(1)Mg2Zn10 cuboctahedra, corners with six equivalent Zn(3)Mg2Zn10 cuboctahedra, corners with six equivalent Zn(5)Mg2Zn10 cuboctahedra, edges with two equivalent Zn(1)Mg2Zn10 cuboctahedra, edges with three equivalent Mg(1)Mg2Zn10 cuboctahedra, edges with three equivalent Zn(3)Mg2Zn10 cuboctahedra, edges with four equivalent Zn(2)Mg3Zn9 cuboctahedra, edges with six equivalent Zn(4)MgZn11 cuboctahedra, faces with two equivalent Zn(5)Mg2Zn10 cuboctahedra, faces with three equivalent Mg(1)Mg2Zn10 cuboctahedra, faces with three equivalent Zn(3)Mg2Zn10 cuboctahedra, faces with three equivalent Zn(4)MgZn11 cuboctahedra, faces with four equivalent Zn(2)Mg3Zn9 cuboctahedra, and faces with five equivalent Zn(1)Mg2Zn10 cuboctahedra.
MgZn5 crystallizes in the monoclinic Cm space group. Mg(1) is bonded to two equivalent Mg(1), one Zn(4), two equivalent Zn(1), two equivalent Zn(3), two equivalent Zn(5), and three equivalent Zn(2) atoms to form distorted MgMg2Zn10 cuboctahedra that share corners with six equivalent Mg(1)Mg2Zn10 cuboctahedra, corners with six equivalent Zn(3)Mg2Zn10 cuboctahedra, corners with six equivalent Zn(5)Mg2Zn10 cuboctahedra, edges with two equivalent Zn(2)Mg3Zn9 cuboctahedra, edges with three equivalent Zn(3)Mg2Zn10 cuboctahedra, edges with three equivalent Zn(5)Mg2Zn10 cuboctahedra, edges with four equivalent Zn(4)MgZn11 cuboctahedra, edges with six equivalent Zn(1)Mg2Zn10 cuboctahedra, faces with two equivalent Mg(1)Mg2Zn10 cuboctahedra, faces with three equivalent Zn(1)Mg2Zn10 cuboctahedra, faces with three equivalent Zn(3)Mg2Zn10 cuboctahedra, faces with three equivalent Zn(5)Mg2Zn10 cuboctahedra, faces with four equivalent Zn(4)MgZn11 cuboctahedra, and faces with five equivalent Zn(2)Mg3Zn9 cuboctahedra. Both Mg(1)-Mg(1) bond lengths are 2.87 Å. The Mg(1)-Zn(4) bond length is 2.80 Å. Both Mg(1)-Zn(1) bond lengths are 2.84 Å. Both Mg(1)-Zn(3) bond lengths are 2.88 Å. Both Mg(1)-Zn(5) bond lengths are 2.82 Å. There is one shorter (2.84 Å) and two longer (2.87 Å) Mg(1)-Zn(2) bond lengths. There are five inequivalent Zn sites. In the first Zn site, Zn(1) is bonded to two equivalent Mg(1), one Zn(3), two equivalent Zn(1), two equivalent Zn(2), two equivalent Zn(4), and three equivalent Zn(5) atoms to form distorted ZnMg2Zn10 cuboctahedra that share corners with six equivalent Zn(1)Mg2Zn10 cuboctahedra, corners with six equivalent Zn(2)Mg3Zn9 cuboctahedra, corners with six equivalent Zn(4)MgZn11 cuboctahedra, edges with two equivalent Zn(5)Mg2Zn10 cuboctahedra, edges with three equivalent Zn(2)Mg3Zn9 cuboctahedra, edges with three equivalent Zn(4)MgZn11 cuboctahedra, edges with four equivalent Zn(3)Mg2Zn10 cuboctahedra, edges with six equivalent Mg(1)Mg2Zn10 cuboctahedra, faces with two equivalent Zn(1)Mg2Zn10 cuboctahedra, faces with three equivalent Mg(1)Mg2Zn10 cuboctahedra, faces with three equivalent Zn(2)Mg3Zn9 cuboctahedra, faces with three equivalent Zn(4)MgZn11 cuboctahedra, faces with four equivalent Zn(3)Mg2Zn10 cuboctahedra, and faces with five equivalent Zn(5)Mg2Zn10 cuboctahedra. The Zn(1)-Zn(3) bond length is 2.69 Å. Both Zn(1)-Zn(1) bond lengths are 2.87 Å. Both Zn(1)-Zn(2) bond lengths are 2.83 Å. Both Zn(1)-Zn(4) bond lengths are 2.80 Å. There are two shorter (2.81 Å) and one longer (2.90 Å) Zn(1)-Zn(5) bond length. In the second Zn site, Zn(2) is bonded to three equivalent Mg(1), one Zn(5), two equivalent Zn(1), two equivalent Zn(2), two equivalent Zn(3), and two equivalent Zn(4) atoms to form distorted ZnMg3Zn9 cuboctahedra that share corners with six equivalent Zn(1)Mg2Zn10 cuboctahedra, corners with six equivalent Zn(2)Mg3Zn9 cuboctahedra, corners with six equivalent Zn(4)MgZn11 cuboctahedra, edges with two equivalent Mg(1)Mg2Zn10 cuboctahedra, edges with three equivalent Zn(1)Mg2Zn10 cuboctahedra, edges with three equivalent Zn(4)MgZn11 cuboctahedra, edges with four equivalent Zn(5)Mg2Zn10 cuboctahedra, edges with six equivalent Zn(3)Mg2Zn10 cuboctahedra, faces with two equivalent Zn(2)Mg3Zn9 cuboctahedra, faces with three equivalent Zn(1)Mg2Zn10 cuboctahedra, faces with three equivalent Zn(3)Mg2Zn10 cuboctahedra, faces with three equivalent Zn(4)MgZn11 cuboctahedra, faces with four equivalent Zn(5)Mg2Zn10 cuboctahedra, and faces with five equivalent Mg(1)Mg2Zn10 cuboctahedra. The Zn(2)-Zn(5) bond length is 2.82 Å. Both Zn(2)-Zn(2) bond lengths are 2.87 Å. Both Zn(2)-Zn(3) bond lengths are 2.80 Å. Both Zn(2)-Zn(4) bond lengths are 2.82 Å. In the third Zn site, Zn(3) is bonded to two equivalent Mg(1), one Zn(1), two equivalent Zn(2), two equivalent Zn(3), two equivalent Zn(5), and three equivalent Zn(4) atoms to form ZnMg2Zn10 cuboctahedra that share corners with six equivalent Mg(1)Mg2Zn10 cuboctahedra, corners with six equivalent Zn(3)Mg2Zn10 cuboctahedra, corners with six equivalent Zn(5)Mg2Zn10 cuboctahedra, edges with two equivalent Zn(4)MgZn11 cuboctahedra, edges with three equivalent Mg(1)Mg2Zn10 cuboctahedra, edges with three equivalent Zn(5)Mg2Zn10 cuboctahedra, edges with four equivalent Zn(1)Mg2Zn10 cuboctahedra, edges with six equivalent Zn(2)Mg3Zn9 cuboctahedra, faces with two equivalent Zn(3)Mg2Zn10 cuboctahedra, faces with three equivalent Mg(1)Mg2Zn10 cuboctahedra, faces with three equivalent Zn(5)Mg2Zn10 cuboctahedra, faces with three equivalent Zn(2)Mg3Zn9 cuboctahedra, faces with four equivalent Zn(1)Mg2Zn10 cuboctahedra, and faces with five equivalent Zn(4)MgZn11 cuboctahedra. Both Zn(3)-Zn(3) bond lengths are 2.87 Å. Both Zn(3)-Zn(5) bond lengths are 2.74 Å. There is one shorter (2.82 Å) and two longer (2.87 Å) Zn(3)-Zn(4) bond lengths. In the fourth Zn site, Zn(4) is bonded to one Mg(1), two equivalent Zn(1), two equivalent Zn(2), two equivalent Zn(4), two equivalent Zn(5), and three equivalent Zn(3) atoms to form distorted ZnMgZn11 cuboctahedra that share corners with six equivalent Zn(1)Mg2Zn10 cuboctahedra, corners with six equivalent Zn(2)Mg3Zn9 cuboctahedra, corners with six equivalent Zn(4)MgZn11 cuboctahedra, edges with two equivalent Zn(3)Mg2Zn10 cuboctahedra, edges with three equivalent Zn(1)Mg2Zn10 cuboctahedra, edges with three equivalent Zn(2)Mg3Zn9 cuboctahedra, edges with four equivalent Mg(1)Mg2Zn10 cuboctahedra, edges with six equivalent Zn(5)Mg2Zn10 cuboctahedra, faces with two equivalent Zn(4)MgZn11 cuboctahedra, faces with three equivalent Zn(1)Mg2Zn10 cuboctahedra, faces with three equivalent Zn(5)Mg2Zn10 cuboctahedra, faces with three equivalent Zn(2)Mg3Zn9 cuboctahedra, faces with four equivalent Mg(1)Mg2Zn10 cuboctahedra, and faces with five equivalent Zn(3)Mg2Zn10 cuboctahedra. Both Zn(4)-Zn(4) bond lengths are 2.87 Å. Both Zn(4)-Zn(5) bond lengths are 2.79 Å. In the fifth Zn site, Zn(5) is bonded to two equivalent Mg(1), one Zn(2), two equivalent Zn(3), two equivalent Zn(4), two equivalent Zn(5), and three equivalent Zn(1) atoms to form distorted ZnMg2Zn10 cuboctahedra that share corners with six equivalent Mg(1)Mg2Zn10 cuboctahedra, corners with six equivalent Zn(3)Mg2Zn10 cuboctahedra, corners with six equivalent Zn(5)Mg2Zn10 cuboctahedra, edges with two equivalent Zn(1)Mg2Zn10 cuboctahedra, edges with three equivalent Mg(1)Mg2Zn10 cuboctahedra, edges with three equivalent Zn(3)Mg2Zn10 cuboctahedra, edges with four equivalent Zn(2)Mg3Zn9 cuboctahedra, edges with six equivalent Zn(4)MgZn11 cuboctahedra, faces with two equivalent Zn(5)Mg2Zn10 cuboctahedra, faces with three equivalent Mg(1)Mg2Zn10 cuboctahedra, faces with three equivalent Zn(3)Mg2Zn10 cuboctahedra, faces with three equivalent Zn(4)MgZn11 cuboctahedra, faces with four equivalent Zn(2)Mg3Zn9 cuboctahedra, and faces with five equivalent Zn(1)Mg2Zn10 cuboctahedra. Both Zn(5)-Zn(5) bond lengths are 2.87 Å.