LiMg14Ga crystallizes in the orthorhombic Amm2 space group. Li(1) is bonded to two equivalent Mg(6), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Ga(1) atoms to form LiMg10Ga2 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent Li(1)Mg10Ga2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Ga(1)Li2Mg10 cuboctahedra, edges with four equivalent Mg(3)Li2Mg8Ga2 cuboctahedra, edges with four equivalent Mg(6)LiMg11 cuboctahedra, edges with eight equivalent Mg(5)LiMg10Ga cuboctahedra, faces with two equivalent Mg(6)LiMg11 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Ga(1)Li2Mg10 cuboctahedra, faces with four equivalent Mg(3)Li2Mg8Ga2 cuboctahedra, faces with four equivalent Mg(5)LiMg10Ga cuboctahedra, and faces with six equivalent Mg(7)Mg11Ga cuboctahedra. There are seven inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(2), two equivalent Mg(6), four equivalent Mg(4), and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Ga(1)Li2Mg10 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Li2Mg8Ga2 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(6)LiMg11 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)LiMg10Ga cuboctahedra, faces with two equivalent Li(1)Mg10Ga2 cuboctahedra, faces with two equivalent Mg(6)LiMg11 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with four equivalent Mg(5)LiMg10Ga cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(7)Mg11Ga cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(1), two equivalent Mg(7), four equivalent Mg(4), and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Li(1)Mg10Ga2 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Li2Mg8Ga2 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(7)Mg11Ga cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)LiMg10Ga cuboctahedra, faces with two equivalent Mg(7)Mg11Ga cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Ga(1)Li2Mg10 cuboctahedra, faces with four equivalent Mg(5)LiMg10Ga cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(6)LiMg11 cuboctahedra. In the third Mg site, Mg(3) is bonded to two equivalent Li(1), two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and two equivalent Ga(1) atoms to form distorted MgLi2Mg8Ga2 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)Li2Mg8Ga2 cuboctahedra, edges with two equivalent Li(1)Mg10Ga2 cuboctahedra, edges with two equivalent Mg(3)Li2Mg8Ga2 cuboctahedra, edges with two equivalent Ga(1)Li2Mg10 cuboctahedra, edges with four equivalent Mg(5)LiMg10Ga cuboctahedra, edges with four equivalent Mg(6)LiMg11 cuboctahedra, edges with four equivalent Mg(7)Mg11Ga cuboctahedra, faces with two equivalent Li(1)Mg10Ga2 cuboctahedra, faces with two equivalent Mg(3)Li2Mg8Ga2 cuboctahedra, faces with two equivalent Mg(6)LiMg11 cuboctahedra, faces with two equivalent Mg(7)Mg11Ga cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Ga(1)Li2Mg10 cuboctahedra, and faces with eight equivalent Mg(5)LiMg10Ga 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 Li(1)Mg10Ga2 cuboctahedra, corners with four equivalent Mg(3)Li2Mg8Ga2 cuboctahedra, corners with four equivalent Ga(1)Li2Mg10 cuboctahedra, corners with six equivalent Mg(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)LiMg10Ga cuboctahedra, edges with four equivalent Mg(6)LiMg11 cuboctahedra, edges with four equivalent Mg(7)Mg11Ga cuboctahedra, faces with two equivalent Mg(3)Li2Mg8Ga2 cuboctahedra, faces with two equivalent Mg(6)LiMg11 cuboctahedra, faces with two equivalent Mg(7)Mg11Ga 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, and faces with eight equivalent Mg(5)LiMg10Ga cuboctahedra. In the fifth Mg site, Mg(5) is bonded to one Li(1), one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and one Ga(1) atom to form distorted MgLiMg10Ga cuboctahedra that share corners with four equivalent Mg(6)LiMg11 cuboctahedra, corners with four equivalent Mg(7)Mg11Ga cuboctahedra, corners with ten equivalent Mg(5)LiMg10Ga cuboctahedra, edges with two equivalent Li(1)Mg10Ga2 cuboctahedra, edges with two equivalent Mg(3)Li2Mg8Ga2 cuboctahedra, edges with two equivalent Mg(5)LiMg10Ga cuboctahedra, edges with two equivalent Mg(6)LiMg11 cuboctahedra, edges with two equivalent Mg(7)Mg11Ga 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 Ga(1)Li2Mg10 cuboctahedra,  a faceface with one Li(1)Mg10Ga2 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Ga(1)Li2Mg10 cuboctahedra, faces with two equivalent Mg(6)LiMg11 cuboctahedra, faces with two equivalent Mg(7)Mg11Ga cuboctahedra, faces with four equivalent Mg(3)Li2Mg8Ga2 cuboctahedra, faces with four equivalent Mg(5)LiMg10Ga cuboctahedra, and faces with four equivalent Mg(4)Mg12 cuboctahedra. In the sixth Mg site, Mg(6) is bonded to one Li(1), one Mg(1), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(7), and four equivalent Mg(5) atoms to form MgLiMg11 cuboctahedra that share corners with four equivalent Mg(7)Mg11Ga cuboctahedra, corners with six equivalent Mg(6)LiMg11 cuboctahedra, corners with eight equivalent Mg(5)LiMg10Ga cuboctahedra, edges with two equivalent Li(1)Mg10Ga2 cuboctahedra, edges with two equivalent Mg(7)Mg11Ga cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(3)Li2Mg8Ga2 cuboctahedra, edges with four equivalent Mg(5)LiMg10Ga cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Li(1)Mg10Ga2 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(3)Li2Mg8Ga2 cuboctahedra, faces with two equivalent Mg(6)LiMg11 cuboctahedra, faces with two equivalent Mg(7)Mg11Ga cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent Mg(2)Mg12 cuboctahedra, faces with three equivalent Ga(1)Li2Mg10 cuboctahedra, and faces with four equivalent Mg(5)LiMg10Ga 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 Ga(1) atom to form distorted MgMg11Ga cuboctahedra that share corners with four equivalent Mg(6)LiMg11 cuboctahedra, corners with six equivalent Mg(7)Mg11Ga cuboctahedra, corners with eight equivalent Mg(5)LiMg10Ga cuboctahedra, edges with two equivalent Mg(6)LiMg11 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Ga(1)Li2Mg10 cuboctahedra, edges with four equivalent Mg(3)Li2Mg8Ga2 cuboctahedra, edges with four equivalent Mg(5)LiMg10Ga cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Ga(1)Li2Mg10 cuboctahedra, faces with two equivalent Mg(3)Li2Mg8Ga2 cuboctahedra, faces with two equivalent Mg(6)LiMg11 cuboctahedra, faces with two equivalent Mg(7)Mg11Ga cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent Li(1)Mg10Ga2 cuboctahedra, faces with three equivalent Mg(1)Mg12 cuboctahedra, and faces with four equivalent Mg(5)LiMg10Ga cuboctahedra. Ga(1) is bonded to two equivalent Li(1), two equivalent Mg(7), four equivalent Mg(3), and four equivalent Mg(5) atoms to form GaLi2Mg10 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Ga(1)Li2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Li(1)Mg10Ga2 cuboctahedra, edges with four equivalent Mg(3)Li2Mg8Ga2 cuboctahedra, edges with four equivalent Mg(7)Mg11Ga cuboctahedra, edges with eight equivalent Mg(5)LiMg10Ga cuboctahedra, faces with two equivalent Li(1)Mg10Ga2 cuboctahedra, faces with two equivalent Mg(7)Mg11Ga cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with four equivalent Mg(3)Li2Mg8Ga2 cuboctahedra, faces with four equivalent Mg(5)LiMg10Ga cuboctahedra, and faces with six equivalent Mg(6)LiMg11 cuboctahedra.
LiMg14Ga crystallizes in the orthorhombic Amm2 space group. Li(1) is bonded to two equivalent Mg(6), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Ga(1) atoms to form LiMg10Ga2 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent Li(1)Mg10Ga2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Ga(1)Li2Mg10 cuboctahedra, edges with four equivalent Mg(3)Li2Mg8Ga2 cuboctahedra, edges with four equivalent Mg(6)LiMg11 cuboctahedra, edges with eight equivalent Mg(5)LiMg10Ga cuboctahedra, faces with two equivalent Mg(6)LiMg11 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Ga(1)Li2Mg10 cuboctahedra, faces with four equivalent Mg(3)Li2Mg8Ga2 cuboctahedra, faces with four equivalent Mg(5)LiMg10Ga cuboctahedra, and faces with six equivalent Mg(7)Mg11Ga cuboctahedra. Both Li(1)-Mg(6) bond lengths are 3.14 Å. There are two shorter (3.12 Å) and two longer (3.18 Å) Li(1)-Mg(3) bond lengths. All Li(1)-Mg(5) bond lengths are 3.12 Å. Both Li(1)-Ga(1) bond lengths are 3.16 Å. There are seven inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(2), two equivalent Mg(6), four equivalent Mg(4), and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Ga(1)Li2Mg10 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Li2Mg8Ga2 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(6)LiMg11 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)LiMg10Ga cuboctahedra, faces with two equivalent Li(1)Mg10Ga2 cuboctahedra, faces with two equivalent Mg(6)LiMg11 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with four equivalent Mg(5)LiMg10Ga cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(7)Mg11Ga cuboctahedra. Both Mg(1)-Mg(2) bond lengths are 3.16 Å. Both Mg(1)-Mg(6) bond lengths are 3.16 Å. There are two shorter (3.14 Å) and two longer (3.16 Å) Mg(1)-Mg(4) bond lengths. All Mg(1)-Mg(5) bond lengths are 3.20 Å. In the second Mg site, Mg(2) is bonded to two equivalent Mg(1), two equivalent Mg(7), four equivalent Mg(4), and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Li(1)Mg10Ga2 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Li2Mg8Ga2 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(7)Mg11Ga cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)LiMg10Ga cuboctahedra, faces with two equivalent Mg(7)Mg11Ga cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Ga(1)Li2Mg10 cuboctahedra, faces with four equivalent Mg(5)LiMg10Ga cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(6)LiMg11 cuboctahedra. Both Mg(2)-Mg(7) bond lengths are 3.17 Å. There are two shorter (3.14 Å) and two longer (3.16 Å) Mg(2)-Mg(4) bond lengths. All Mg(2)-Mg(5) bond lengths are 3.18 Å. In the third Mg site, Mg(3) is bonded to two equivalent Li(1), two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and two equivalent Ga(1) atoms to form distorted MgLi2Mg8Ga2 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)Li2Mg8Ga2 cuboctahedra, edges with two equivalent Li(1)Mg10Ga2 cuboctahedra, edges with two equivalent Mg(3)Li2Mg8Ga2 cuboctahedra, edges with two equivalent Ga(1)Li2Mg10 cuboctahedra, edges with four equivalent Mg(5)LiMg10Ga cuboctahedra, edges with four equivalent Mg(6)LiMg11 cuboctahedra, edges with four equivalent Mg(7)Mg11Ga cuboctahedra, faces with two equivalent Li(1)Mg10Ga2 cuboctahedra, faces with two equivalent Mg(3)Li2Mg8Ga2 cuboctahedra, faces with two equivalent Mg(6)LiMg11 cuboctahedra, faces with two equivalent Mg(7)Mg11Ga cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Ga(1)Li2Mg10 cuboctahedra, and faces with eight equivalent Mg(5)LiMg10Ga cuboctahedra. There is one shorter (3.13 Å) and one longer (3.20 Å) Mg(3)-Mg(3) bond length. Both Mg(3)-Mg(5) bond lengths are 3.13 Å. Both Mg(3)-Mg(6) bond lengths are 3.14 Å. Both Mg(3)-Mg(7) bond lengths are 3.13 Å. There is one shorter (3.15 Å) and one longer (3.16 Å) Mg(3)-Ga(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 Li(1)Mg10Ga2 cuboctahedra, corners with four equivalent Mg(3)Li2Mg8Ga2 cuboctahedra, corners with four equivalent Ga(1)Li2Mg10 cuboctahedra, corners with six equivalent Mg(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)LiMg10Ga cuboctahedra, edges with four equivalent Mg(6)LiMg11 cuboctahedra, edges with four equivalent Mg(7)Mg11Ga cuboctahedra, faces with two equivalent Mg(3)Li2Mg8Ga2 cuboctahedra, faces with two equivalent Mg(6)LiMg11 cuboctahedra, faces with two equivalent Mg(7)Mg11Ga 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, and faces with eight equivalent Mg(5)LiMg10Ga cuboctahedra. There is one shorter (3.16 Å) and one longer (3.17 Å) Mg(4)-Mg(4) bond length. Both Mg(4)-Mg(5) bond lengths are 3.20 Å. Both Mg(4)-Mg(6) bond lengths are 3.16 Å. Both Mg(4)-Mg(7) bond lengths are 3.19 Å. In the fifth Mg site, Mg(5) is bonded to one Li(1), one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and one Ga(1) atom to form distorted MgLiMg10Ga cuboctahedra that share corners with four equivalent Mg(6)LiMg11 cuboctahedra, corners with four equivalent Mg(7)Mg11Ga cuboctahedra, corners with ten equivalent Mg(5)LiMg10Ga cuboctahedra, edges with two equivalent Li(1)Mg10Ga2 cuboctahedra, edges with two equivalent Mg(3)Li2Mg8Ga2 cuboctahedra, edges with two equivalent Mg(5)LiMg10Ga cuboctahedra, edges with two equivalent Mg(6)LiMg11 cuboctahedra, edges with two equivalent Mg(7)Mg11Ga 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 Ga(1)Li2Mg10 cuboctahedra,  a faceface with one Li(1)Mg10Ga2 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Ga(1)Li2Mg10 cuboctahedra, faces with two equivalent Mg(6)LiMg11 cuboctahedra, faces with two equivalent Mg(7)Mg11Ga cuboctahedra, faces with four equivalent Mg(3)Li2Mg8Ga2 cuboctahedra, faces with four equivalent Mg(5)LiMg10Ga cuboctahedra, and faces with four equivalent Mg(4)Mg12 cuboctahedra. There is one shorter (3.14 Å) and one longer (3.19 Å) Mg(5)-Mg(5) bond length. There is one shorter (3.14 Å) and one longer (3.16 Å) Mg(5)-Mg(6) bond length. There is one shorter (3.11 Å) and one longer (3.19 Å) Mg(5)-Mg(7) bond length. The Mg(5)-Ga(1) bond length is 3.10 Å. In the sixth Mg site, Mg(6) is bonded to one Li(1), one Mg(1), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(7), and four equivalent Mg(5) atoms to form MgLiMg11 cuboctahedra that share corners with four equivalent Mg(7)Mg11Ga cuboctahedra, corners with six equivalent Mg(6)LiMg11 cuboctahedra, corners with eight equivalent Mg(5)LiMg10Ga cuboctahedra, edges with two equivalent Li(1)Mg10Ga2 cuboctahedra, edges with two equivalent Mg(7)Mg11Ga cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(3)Li2Mg8Ga2 cuboctahedra, edges with four equivalent Mg(5)LiMg10Ga cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Li(1)Mg10Ga2 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(3)Li2Mg8Ga2 cuboctahedra, faces with two equivalent Mg(6)LiMg11 cuboctahedra, faces with two equivalent Mg(7)Mg11Ga cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent Mg(2)Mg12 cuboctahedra, faces with three equivalent Ga(1)Li2Mg10 cuboctahedra, and faces with four equivalent Mg(5)LiMg10Ga cuboctahedra. Both Mg(6)-Mg(7) bond lengths are 3.16 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 Ga(1) atom to form distorted MgMg11Ga cuboctahedra that share corners with four equivalent Mg(6)LiMg11 cuboctahedra, corners with six equivalent Mg(7)Mg11Ga cuboctahedra, corners with eight equivalent Mg(5)LiMg10Ga cuboctahedra, edges with two equivalent Mg(6)LiMg11 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Ga(1)Li2Mg10 cuboctahedra, edges with four equivalent Mg(3)Li2Mg8Ga2 cuboctahedra, edges with four equivalent Mg(5)LiMg10Ga cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Ga(1)Li2Mg10 cuboctahedra, faces with two equivalent Mg(3)Li2Mg8Ga2 cuboctahedra, faces with two equivalent Mg(6)LiMg11 cuboctahedra, faces with two equivalent Mg(7)Mg11Ga cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent Li(1)Mg10Ga2 cuboctahedra, faces with three equivalent Mg(1)Mg12 cuboctahedra, and faces with four equivalent Mg(5)LiMg10Ga cuboctahedra. The Mg(7)-Ga(1) bond length is 3.12 Å. Ga(1) is bonded to two equivalent Li(1), two equivalent Mg(7), four equivalent Mg(3), and four equivalent Mg(5) atoms to form GaLi2Mg10 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Ga(1)Li2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Li(1)Mg10Ga2 cuboctahedra, edges with four equivalent Mg(3)Li2Mg8Ga2 cuboctahedra, edges with four equivalent Mg(7)Mg11Ga cuboctahedra, edges with eight equivalent Mg(5)LiMg10Ga cuboctahedra, faces with two equivalent Li(1)Mg10Ga2 cuboctahedra, faces with two equivalent Mg(7)Mg11Ga cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with four equivalent Mg(3)Li2Mg8Ga2 cuboctahedra, faces with four equivalent Mg(5)LiMg10Ga cuboctahedra, and faces with six equivalent Mg(6)LiMg11 cuboctahedra.