Mg14MnAl crystallizes in the orthorhombic Amm2 space group. There are eight inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(2); two equivalent Mg(6); four Mg(4,4); and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Mn(1)Mg10Al2 cuboctahedra; corners with six equivalent Mg(1)Mg12 cuboctahedra; corners with eight equivalent Mg(3)Mg8Mn2Al2 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Mg(6)Mg11Al cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra; edges with eight equivalent Mg(5)Mg10MnAl cuboctahedra; faces with two equivalent Mg(6)Mg11Al cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Al(1)Mg10Mn2 cuboctahedra; faces with four equivalent Mg(5)Mg10MnAl cuboctahedra; faces with four Mg(4,4)Mg12 cuboctahedra; and faces with six equivalent Mg(7)Mg11Mn cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(1); two equivalent Mg(7); four Mg(4,4); and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Al(1)Mg10Mn2 cuboctahedra; corners with six equivalent Mg(2)Mg12 cuboctahedra; corners with eight equivalent Mg(3)Mg8Mn2Al2 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with four equivalent Mg(7)Mg11Mn cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra; edges with eight equivalent Mg(5)Mg10MnAl cuboctahedra; faces with two equivalent Mg(7)Mg11Mn cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Mn(1)Mg10Al2 cuboctahedra; faces with four equivalent Mg(5)Mg10MnAl cuboctahedra; faces with four Mg(4,4)Mg12 cuboctahedra; and faces with six equivalent Mg(6)Mg11Al cuboctahedra. In the third Mg site, Mg(3) is bonded to two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), two equivalent Mn(1), and two equivalent Al(1) atoms to form MgMg8Mn2Al2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with four equivalent Mg(4)Mg12 cuboctahedra, corners with six equivalent Mg(3)Mg8Mn2Al2 cuboctahedra, edges with two equivalent Mg(3)Mg8Mn2Al2 cuboctahedra, edges with two equivalent Mn(1)Mg10Al2 cuboctahedra, edges with two equivalent Al(1)Mg10Mn2 cuboctahedra, edges with four equivalent Mg(5)Mg10MnAl cuboctahedra, edges with four equivalent Mg(6)Mg11Al cuboctahedra, edges with four equivalent Mg(7)Mg11Mn cuboctahedra, faces with two equivalent Mg(6)Mg11Al cuboctahedra, faces with two equivalent Mg(7)Mg11Mn cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8Mn2Al2 cuboctahedra, faces with two equivalent Mn(1)Mg10Al2 cuboctahedra, faces with two equivalent Al(1)Mg10Mn2 cuboctahedra, and faces with eight equivalent Mg(5)Mg10MnAl cuboctahedra. In the fourth Mg site, Mg(4) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), two equivalent Mg(5), two equivalent Mg(6), and two equivalent Mg(7) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Mg(3)Mg8Mn2Al2 cuboctahedra; corners with four equivalent Mn(1)Mg10Al2 cuboctahedra; corners with four equivalent Al(1)Mg10Mn2 cuboctahedra; corners with six Mg(4,4)Mg12 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with four equivalent Mg(5)Mg10MnAl cuboctahedra; edges with four equivalent Mg(6)Mg11Al cuboctahedra; edges with four equivalent Mg(7)Mg11Mn cuboctahedra; faces with two equivalent Mg(6)Mg11Al cuboctahedra; faces with two equivalent Mg(7)Mg11Mn cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Mn2Al2 cuboctahedra; and faces with eight equivalent Mg(5)Mg10MnAl cuboctahedra. In the fifth Mg site, Mg(5) is bonded to one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), one Mn(1), and one Al(1) atom to form distorted MgMg10MnAl cuboctahedra that share corners with four equivalent Mg(6)Mg11Al cuboctahedra, corners with four equivalent Mg(7)Mg11Mn cuboctahedra, corners with ten equivalent Mg(5)Mg10MnAl cuboctahedra, edges with two equivalent Mg(5)Mg10MnAl cuboctahedra, edges with two equivalent Mg(6)Mg11Al cuboctahedra, edges with two equivalent Mg(7)Mg11Mn cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Mg(3)Mg8Mn2Al2 cuboctahedra, edges with two equivalent Mn(1)Mg10Al2 cuboctahedra, edges with two equivalent Al(1)Mg10Mn2 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Mn(1)Mg10Al2 cuboctahedra,  a faceface with one Al(1)Mg10Mn2 cuboctahedra, faces with two equivalent Mg(6)Mg11Al cuboctahedra, faces with two equivalent Mg(7)Mg11Mn cuboctahedra, faces with four equivalent Mg(5)Mg10MnAl cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with four equivalent Mg(3)Mg8Mn2Al2 cuboctahedra. In the sixth Mg site, Mg(6) is bonded to one Mg(1), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(7), four equivalent Mg(5), and one Al(1) atom to form MgMg11Al cuboctahedra that share corners with four equivalent Mg(7)Mg11Mn cuboctahedra; corners with six equivalent Mg(6)Mg11Al cuboctahedra; corners with eight equivalent Mg(5)Mg10MnAl cuboctahedra; edges with two equivalent Mg(7)Mg11Mn cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Al(1)Mg10Mn2 cuboctahedra; edges with four equivalent Mg(5)Mg10MnAl cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra; edges with four equivalent Mg(3)Mg8Mn2Al2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Al(1)Mg10Mn2 cuboctahedra; faces with two equivalent Mg(6)Mg11Al cuboctahedra; faces with two equivalent Mg(7)Mg11Mn cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Mn2Al2 cuboctahedra; faces with three equivalent Mg(2)Mg12 cuboctahedra; faces with three equivalent Mn(1)Mg10Al2 cuboctahedra; and faces with four equivalent Mg(5)Mg10MnAl cuboctahedra. In the seventh Mg site, Mg(7) is bonded to one Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(6), four equivalent Mg(5), and one Mn(1) atom to form MgMg11Mn cuboctahedra that share corners with four equivalent Mg(6)Mg11Al cuboctahedra; corners with six equivalent Mg(7)Mg11Mn cuboctahedra; corners with eight equivalent Mg(5)Mg10MnAl cuboctahedra; edges with two equivalent Mg(6)Mg11Al cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with two equivalent Mn(1)Mg10Al2 cuboctahedra; edges with four equivalent Mg(5)Mg10MnAl cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra; edges with four equivalent Mg(3)Mg8Mn2Al2 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Mn(1)Mg10Al2 cuboctahedra; faces with two equivalent Mg(6)Mg11Al cuboctahedra; faces with two equivalent Mg(7)Mg11Mn cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Mn2Al2 cuboctahedra; faces with three equivalent Mg(1)Mg12 cuboctahedra; faces with three equivalent Al(1)Mg10Mn2 cuboctahedra; and faces with four equivalent Mg(5)Mg10MnAl cuboctahedra. In the eighth Mg site, Mg(4) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), two equivalent Mg(5), two equivalent Mg(6), and two equivalent Mg(7) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Mg(3)Mg8Mn2Al2 cuboctahedra; corners with four equivalent Mn(1)Mg10Al2 cuboctahedra; corners with four equivalent Al(1)Mg10Mn2 cuboctahedra; corners with six Mg(4,4)Mg12 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with four equivalent Mg(5)Mg10MnAl cuboctahedra; edges with four equivalent Mg(6)Mg11Al cuboctahedra; edges with four equivalent Mg(7)Mg11Mn cuboctahedra; faces with two equivalent Mg(6)Mg11Al cuboctahedra; faces with two equivalent Mg(7)Mg11Mn cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Mn2Al2 cuboctahedra; and faces with eight equivalent Mg(5)Mg10MnAl cuboctahedra. Mn(1) is bonded to two equivalent Mg(7), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Al(1) atoms to form MnMg10Al2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra; corners with six equivalent Mn(1)Mg10Al2 cuboctahedra; corners with eight Mg(4,4)Mg12 cuboctahedra; edges with two equivalent Al(1)Mg10Mn2 cuboctahedra; edges with four equivalent Mg(7)Mg11Mn cuboctahedra; edges with four equivalent Mg(3)Mg8Mn2Al2 cuboctahedra; edges with eight equivalent Mg(5)Mg10MnAl cuboctahedra; faces with two equivalent Mg(7)Mg11Mn cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Al(1)Mg10Mn2 cuboctahedra; faces with four equivalent Mg(5)Mg10MnAl cuboctahedra; faces with four equivalent Mg(3)Mg8Mn2Al2 cuboctahedra; and faces with six equivalent Mg(6)Mg11Al cuboctahedra. Al(1) is bonded to two equivalent Mg(6), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Mn(1) atoms to form AlMg10Mn2 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra; corners with six equivalent Al(1)Mg10Mn2 cuboctahedra; corners with eight Mg(4,4)Mg12 cuboctahedra; edges with two equivalent Mn(1)Mg10Al2 cuboctahedra; edges with four equivalent Mg(6)Mg11Al cuboctahedra; edges with four equivalent Mg(3)Mg8Mn2Al2 cuboctahedra; edges with eight equivalent Mg(5)Mg10MnAl cuboctahedra; faces with two equivalent Mg(6)Mg11Al cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Mn(1)Mg10Al2 cuboctahedra; faces with four equivalent Mg(5)Mg10MnAl cuboctahedra; faces with four equivalent Mg(3)Mg8Mn2Al2 cuboctahedra; and faces with six equivalent Mg(7)Mg11Mn cuboctahedra.
Mg14MnAl crystallizes in the orthorhombic Amm2 space group. There are eight inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(2); two equivalent Mg(6); four Mg(4,4); and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Mn(1)Mg10Al2 cuboctahedra; corners with six equivalent Mg(1)Mg12 cuboctahedra; corners with eight equivalent Mg(3)Mg8Mn2Al2 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Mg(6)Mg11Al cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra; edges with eight equivalent Mg(5)Mg10MnAl cuboctahedra; faces with two equivalent Mg(6)Mg11Al cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Al(1)Mg10Mn2 cuboctahedra; faces with four equivalent Mg(5)Mg10MnAl cuboctahedra; faces with four Mg(4,4)Mg12 cuboctahedra; and faces with six equivalent Mg(7)Mg11Mn cuboctahedra. Both Mg(1)-Mg(2) bond lengths are 3.11 Å. Both Mg(1)-Mg(6) bond lengths are 3.14 Å. There are two shorter (3.11 Å) and two longer (3.13 Å) Mg(1)-Mg(4,4) bond lengths. All Mg(1)-Mg(5) bond lengths are 3.21 Å. In the second Mg site, Mg(2) is bonded to two equivalent Mg(1); two equivalent Mg(7); four Mg(4,4); and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Al(1)Mg10Mn2 cuboctahedra; corners with six equivalent Mg(2)Mg12 cuboctahedra; corners with eight equivalent Mg(3)Mg8Mn2Al2 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with four equivalent Mg(7)Mg11Mn cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra; edges with eight equivalent Mg(5)Mg10MnAl cuboctahedra; faces with two equivalent Mg(7)Mg11Mn cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Mn(1)Mg10Al2 cuboctahedra; faces with four equivalent Mg(5)Mg10MnAl cuboctahedra; faces with four Mg(4,4)Mg12 cuboctahedra; and faces with six equivalent Mg(6)Mg11Al cuboctahedra. Both Mg(2)-Mg(7) bond lengths are 3.15 Å. There are two shorter (3.11 Å) and two longer (3.13 Å) Mg(2)-Mg(4,4) bond lengths. All Mg(2)-Mg(5) bond lengths are 3.20 Å. In the third Mg site, Mg(3) is bonded to two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), two equivalent Mn(1), and two equivalent Al(1) atoms to form MgMg8Mn2Al2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with four equivalent Mg(4)Mg12 cuboctahedra, corners with six equivalent Mg(3)Mg8Mn2Al2 cuboctahedra, edges with two equivalent Mg(3)Mg8Mn2Al2 cuboctahedra, edges with two equivalent Mn(1)Mg10Al2 cuboctahedra, edges with two equivalent Al(1)Mg10Mn2 cuboctahedra, edges with four equivalent Mg(5)Mg10MnAl cuboctahedra, edges with four equivalent Mg(6)Mg11Al cuboctahedra, edges with four equivalent Mg(7)Mg11Mn cuboctahedra, faces with two equivalent Mg(6)Mg11Al cuboctahedra, faces with two equivalent Mg(7)Mg11Mn cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8Mn2Al2 cuboctahedra, faces with two equivalent Mn(1)Mg10Al2 cuboctahedra, faces with two equivalent Al(1)Mg10Mn2 cuboctahedra, and faces with eight equivalent Mg(5)Mg10MnAl cuboctahedra. There is one shorter (3.10 Å) and one longer (3.12 Å) Mg(3)-Mg(3) bond length. Both Mg(3)-Mg(5) bond lengths are 3.06 Å. Both Mg(3)-Mg(6) bond lengths are 3.10 Å. Both Mg(3)-Mg(7) bond lengths are 3.09 Å. There is one shorter (3.10 Å) and one longer (3.15 Å) Mg(3)-Mn(1) bond length. There is one shorter (3.10 Å) and one longer (3.14 Å) Mg(3)-Al(1) bond length. In the fourth Mg site, Mg(4) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), two equivalent Mg(5), two equivalent Mg(6), and two equivalent Mg(7) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Mg(3)Mg8Mn2Al2 cuboctahedra; corners with four equivalent Mn(1)Mg10Al2 cuboctahedra; corners with four equivalent Al(1)Mg10Mn2 cuboctahedra; corners with six Mg(4,4)Mg12 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with four equivalent Mg(5)Mg10MnAl cuboctahedra; edges with four equivalent Mg(6)Mg11Al cuboctahedra; edges with four equivalent Mg(7)Mg11Mn cuboctahedra; faces with two equivalent Mg(6)Mg11Al cuboctahedra; faces with two equivalent Mg(7)Mg11Mn cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Mn2Al2 cuboctahedra; and faces with eight equivalent Mg(5)Mg10MnAl cuboctahedra. There is one shorter (3.11 Å) and one longer (3.12 Å) Mg(4)-Mg(4) bond length. Both Mg(4)-Mg(5) bond lengths are 3.22 Å. Both Mg(4)-Mg(6) bond lengths are 3.15 Å. Both Mg(4)-Mg(7) bond lengths are 3.17 Å. In the fifth Mg site, Mg(5) is bonded to one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), one Mn(1), and one Al(1) atom to form distorted MgMg10MnAl cuboctahedra that share corners with four equivalent Mg(6)Mg11Al cuboctahedra, corners with four equivalent Mg(7)Mg11Mn cuboctahedra, corners with ten equivalent Mg(5)Mg10MnAl cuboctahedra, edges with two equivalent Mg(5)Mg10MnAl cuboctahedra, edges with two equivalent Mg(6)Mg11Al cuboctahedra, edges with two equivalent Mg(7)Mg11Mn cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Mg(3)Mg8Mn2Al2 cuboctahedra, edges with two equivalent Mn(1)Mg10Al2 cuboctahedra, edges with two equivalent Al(1)Mg10Mn2 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Mn(1)Mg10Al2 cuboctahedra,  a faceface with one Al(1)Mg10Mn2 cuboctahedra, faces with two equivalent Mg(6)Mg11Al cuboctahedra, faces with two equivalent Mg(7)Mg11Mn cuboctahedra, faces with four equivalent Mg(5)Mg10MnAl cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with four equivalent Mg(3)Mg8Mn2Al2 cuboctahedra. There is one shorter (3.09 Å) and one longer (3.13 Å) Mg(5)-Mg(5) bond length. There is one shorter (3.09 Å) and one longer (3.15 Å) Mg(5)-Mg(6) bond length. There is one shorter (3.07 Å) and one longer (3.17 Å) Mg(5)-Mg(7) bond length. The Mg(5)-Mn(1) bond length is 3.03 Å. The Mg(5)-Al(1) bond length is 3.04 Å. In the sixth Mg site, Mg(6) is bonded to one Mg(1), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(7), four equivalent Mg(5), and one Al(1) atom to form MgMg11Al cuboctahedra that share corners with four equivalent Mg(7)Mg11Mn cuboctahedra; corners with six equivalent Mg(6)Mg11Al cuboctahedra; corners with eight equivalent Mg(5)Mg10MnAl cuboctahedra; edges with two equivalent Mg(7)Mg11Mn cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Al(1)Mg10Mn2 cuboctahedra; edges with four equivalent Mg(5)Mg10MnAl cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra; edges with four equivalent Mg(3)Mg8Mn2Al2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Al(1)Mg10Mn2 cuboctahedra; faces with two equivalent Mg(6)Mg11Al cuboctahedra; faces with two equivalent Mg(7)Mg11Mn cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Mn2Al2 cuboctahedra; faces with three equivalent Mg(2)Mg12 cuboctahedra; faces with three equivalent Mn(1)Mg10Al2 cuboctahedra; and faces with four equivalent Mg(5)Mg10MnAl cuboctahedra. Both Mg(6)-Mg(7) bond lengths are 3.11 Å. The Mg(6)-Al(1) bond length is 3.09 Å. In the seventh Mg site, Mg(7) is bonded to one Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(6), four equivalent Mg(5), and one Mn(1) atom to form MgMg11Mn cuboctahedra that share corners with four equivalent Mg(6)Mg11Al cuboctahedra; corners with six equivalent Mg(7)Mg11Mn cuboctahedra; corners with eight equivalent Mg(5)Mg10MnAl cuboctahedra; edges with two equivalent Mg(6)Mg11Al cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with two equivalent Mn(1)Mg10Al2 cuboctahedra; edges with four equivalent Mg(5)Mg10MnAl cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra; edges with four equivalent Mg(3)Mg8Mn2Al2 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one Mn(1)Mg10Al2 cuboctahedra; faces with two equivalent Mg(6)Mg11Al cuboctahedra; faces with two equivalent Mg(7)Mg11Mn cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Mn2Al2 cuboctahedra; faces with three equivalent Mg(1)Mg12 cuboctahedra; faces with three equivalent Al(1)Mg10Mn2 cuboctahedra; and faces with four equivalent Mg(5)Mg10MnAl cuboctahedra. The Mg(7)-Mn(1) bond length is 3.06 Å. In the eighth Mg site, Mg(4) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), two equivalent Mg(5), two equivalent Mg(6), and two equivalent Mg(7) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Mg(3)Mg8Mn2Al2 cuboctahedra; corners with four equivalent Mn(1)Mg10Al2 cuboctahedra; corners with four equivalent Al(1)Mg10Mn2 cuboctahedra; corners with six Mg(4,4)Mg12 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with four equivalent Mg(5)Mg10MnAl cuboctahedra; edges with four equivalent Mg(6)Mg11Al cuboctahedra; edges with four equivalent Mg(7)Mg11Mn cuboctahedra; faces with two equivalent Mg(6)Mg11Al cuboctahedra; faces with two equivalent Mg(7)Mg11Mn cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Mg8Mn2Al2 cuboctahedra; and faces with eight equivalent Mg(5)Mg10MnAl cuboctahedra. There is one shorter (3.11 Å) and one longer (3.12 Å) Mg(4)-Mg(4) bond length. Both Mg(4)-Mg(5) bond lengths are 3.22 Å. Both Mg(4)-Mg(6) bond lengths are 3.15 Å. Both Mg(4)-Mg(7) bond lengths are 3.17 Å. Mn(1) is bonded to two equivalent Mg(7), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Al(1) atoms to form MnMg10Al2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra; corners with six equivalent Mn(1)Mg10Al2 cuboctahedra; corners with eight Mg(4,4)Mg12 cuboctahedra; edges with two equivalent Al(1)Mg10Mn2 cuboctahedra; edges with four equivalent Mg(7)Mg11Mn cuboctahedra; edges with four equivalent Mg(3)Mg8Mn2Al2 cuboctahedra; edges with eight equivalent Mg(5)Mg10MnAl cuboctahedra; faces with two equivalent Mg(7)Mg11Mn cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Al(1)Mg10Mn2 cuboctahedra; faces with four equivalent Mg(5)Mg10MnAl cuboctahedra; faces with four equivalent Mg(3)Mg8Mn2Al2 cuboctahedra; and faces with six equivalent Mg(6)Mg11Al cuboctahedra. Both Mn(1)-Al(1) bond lengths are 3.11 Å. Al(1) is bonded to two equivalent Mg(6), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Mn(1) atoms to form AlMg10Mn2 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra; corners with six equivalent Al(1)Mg10Mn2 cuboctahedra; corners with eight Mg(4,4)Mg12 cuboctahedra; edges with two equivalent Mn(1)Mg10Al2 cuboctahedra; edges with four equivalent Mg(6)Mg11Al cuboctahedra; edges with four equivalent Mg(3)Mg8Mn2Al2 cuboctahedra; edges with eight equivalent Mg(5)Mg10MnAl cuboctahedra; faces with two equivalent Mg(6)Mg11Al cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Mn(1)Mg10Al2 cuboctahedra; faces with four equivalent Mg(5)Mg10MnAl cuboctahedra; faces with four equivalent Mg(3)Mg8Mn2Al2 cuboctahedra; and faces with six equivalent Mg(7)Mg11Mn cuboctahedra.