Mg14VGa crystallizes in the orthorhombic Amm2 space group. 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)Mg10V2 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Mg8V2Ga2 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(6)Mg11V cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)Mg10VGa cuboctahedra, faces with two equivalent Mg(6)Mg11V cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent V(1)Mg10Ga2 cuboctahedra, faces with four equivalent Mg(5)Mg10VGa 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 V(1)Mg10Ga2 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Mg8V2Ga2 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)Mg10VGa cuboctahedra, faces with two equivalent Mg(7)Mg11Ga cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Ga(1)Mg10V2 cuboctahedra, faces with four equivalent Mg(5)Mg10VGa cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(6)Mg11V 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 V(1), and two equivalent Ga(1) atoms to form distorted MgMg8V2Ga2 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)Mg8V2Ga2 cuboctahedra, edges with two equivalent Mg(3)Mg8V2Ga2 cuboctahedra, edges with two equivalent V(1)Mg10Ga2 cuboctahedra, edges with two equivalent Ga(1)Mg10V2 cuboctahedra, edges with four equivalent Mg(5)Mg10VGa cuboctahedra, edges with four equivalent Mg(7)Mg11Ga cuboctahedra, edges with four equivalent Mg(6)Mg11V cuboctahedra, faces with two equivalent Mg(7)Mg11Ga cuboctahedra, faces with two equivalent Mg(6)Mg11V cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8V2Ga2 cuboctahedra, faces with two equivalent V(1)Mg10Ga2 cuboctahedra, faces with two equivalent Ga(1)Mg10V2 cuboctahedra, and faces with eight equivalent Mg(5)Mg10VGa 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)Mg8V2Ga2 cuboctahedra, corners with four equivalent V(1)Mg10Ga2 cuboctahedra, corners with four equivalent Ga(1)Mg10V2 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)Mg10VGa cuboctahedra, edges with four equivalent Mg(7)Mg11Ga cuboctahedra, edges with four equivalent Mg(6)Mg11V cuboctahedra, faces with two equivalent Mg(7)Mg11Ga cuboctahedra, faces with two equivalent Mg(6)Mg11V 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)Mg8V2Ga2 cuboctahedra, and faces with eight equivalent Mg(5)Mg10VGa 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 V(1), and one Ga(1) atom to form distorted MgMg10VGa cuboctahedra that share corners with four equivalent Mg(7)Mg11Ga cuboctahedra, corners with four equivalent Mg(6)Mg11V cuboctahedra, corners with ten equivalent Mg(5)Mg10VGa cuboctahedra, edges with two equivalent Mg(5)Mg10VGa cuboctahedra, edges with two equivalent Mg(7)Mg11Ga cuboctahedra, edges with two equivalent Mg(6)Mg11V 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)Mg8V2Ga2 cuboctahedra, edges with two equivalent V(1)Mg10Ga2 cuboctahedra, edges with two equivalent Ga(1)Mg10V2 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one V(1)Mg10Ga2 cuboctahedra,  a faceface with one Ga(1)Mg10V2 cuboctahedra, faces with two equivalent Mg(7)Mg11Ga cuboctahedra, faces with two equivalent Mg(6)Mg11V cuboctahedra, faces with four equivalent Mg(5)Mg10VGa cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with four equivalent Mg(3)Mg8V2Ga2 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 V(1) atom to form distorted MgMg11V cuboctahedra that share corners with four equivalent Mg(7)Mg11Ga cuboctahedra, corners with six equivalent Mg(6)Mg11V cuboctahedra, corners with eight equivalent Mg(5)Mg10VGa cuboctahedra, edges with two equivalent Mg(7)Mg11Ga cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent V(1)Mg10Ga2 cuboctahedra, edges with four equivalent Mg(5)Mg10VGa cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(3)Mg8V2Ga2 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one V(1)Mg10Ga2 cuboctahedra, faces with two equivalent Mg(7)Mg11Ga cuboctahedra, faces with two equivalent Mg(6)Mg11V cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8V2Ga2 cuboctahedra, faces with three equivalent Mg(2)Mg12 cuboctahedra, faces with three equivalent Ga(1)Mg10V2 cuboctahedra, and faces with four equivalent Mg(5)Mg10VGa 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)Mg11V cuboctahedra, corners with six equivalent Mg(7)Mg11Ga cuboctahedra, corners with eight equivalent Mg(5)Mg10VGa cuboctahedra, edges with two equivalent Mg(6)Mg11V cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Ga(1)Mg10V2 cuboctahedra, edges with four equivalent Mg(5)Mg10VGa cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(3)Mg8V2Ga2 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Ga(1)Mg10V2 cuboctahedra, faces with two equivalent Mg(7)Mg11Ga cuboctahedra, faces with two equivalent Mg(6)Mg11V cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8V2Ga2 cuboctahedra, faces with three equivalent Mg(1)Mg12 cuboctahedra, faces with three equivalent V(1)Mg10Ga2 cuboctahedra, and faces with four equivalent Mg(5)Mg10VGa cuboctahedra. V(1) is bonded to two equivalent Mg(6), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Ga(1) atoms to form VMg10Ga2 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent V(1)Mg10Ga2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Ga(1)Mg10V2 cuboctahedra, edges with four equivalent Mg(6)Mg11V cuboctahedra, edges with four equivalent Mg(3)Mg8V2Ga2 cuboctahedra, edges with eight equivalent Mg(5)Mg10VGa cuboctahedra, faces with two equivalent Mg(6)Mg11V cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Ga(1)Mg10V2 cuboctahedra, faces with four equivalent Mg(5)Mg10VGa cuboctahedra, faces with four equivalent Mg(3)Mg8V2Ga2 cuboctahedra, and faces with six equivalent Mg(7)Mg11Ga cuboctahedra. Ga(1) is bonded to two equivalent Mg(7), four equivalent Mg(3), four equivalent Mg(5), and two equivalent V(1) atoms to form GaMg10V2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Ga(1)Mg10V2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent V(1)Mg10Ga2 cuboctahedra, edges with four equivalent Mg(7)Mg11Ga cuboctahedra, edges with four equivalent Mg(3)Mg8V2Ga2 cuboctahedra, edges with eight equivalent Mg(5)Mg10VGa cuboctahedra, faces with two equivalent Mg(7)Mg11Ga cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent V(1)Mg10Ga2 cuboctahedra, faces with four equivalent Mg(5)Mg10VGa cuboctahedra, faces with four equivalent Mg(3)Mg8V2Ga2 cuboctahedra, and faces with six equivalent Mg(6)Mg11V cuboctahedra.
Mg14VGa crystallizes in the orthorhombic Amm2 space group. 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)Mg10V2 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Mg8V2Ga2 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(6)Mg11V cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)Mg10VGa cuboctahedra, faces with two equivalent Mg(6)Mg11V cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent V(1)Mg10Ga2 cuboctahedra, faces with four equivalent Mg(5)Mg10VGa 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 3.11 Å. Both Mg(1)-Mg(6) bond lengths are 3.15 Å. There are two shorter (3.13 Å) and two longer (3.14 Å) Mg(1)-Mg(4) bond lengths. All Mg(1)-Mg(5) bond lengths are 3.19 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 V(1)Mg10Ga2 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Mg8V2Ga2 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)Mg10VGa cuboctahedra, faces with two equivalent Mg(7)Mg11Ga cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Ga(1)Mg10V2 cuboctahedra, faces with four equivalent Mg(5)Mg10VGa cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(6)Mg11V cuboctahedra. Both Mg(2)-Mg(7) bond lengths are 3.15 Å. There are two shorter (3.13 Å) and two longer (3.14 Å) Mg(2)-Mg(4) bond lengths. All Mg(2)-Mg(5) bond lengths are 3.19 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 V(1), and two equivalent Ga(1) atoms to form distorted MgMg8V2Ga2 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)Mg8V2Ga2 cuboctahedra, edges with two equivalent Mg(3)Mg8V2Ga2 cuboctahedra, edges with two equivalent V(1)Mg10Ga2 cuboctahedra, edges with two equivalent Ga(1)Mg10V2 cuboctahedra, edges with four equivalent Mg(5)Mg10VGa cuboctahedra, edges with four equivalent Mg(7)Mg11Ga cuboctahedra, edges with four equivalent Mg(6)Mg11V cuboctahedra, faces with two equivalent Mg(7)Mg11Ga cuboctahedra, faces with two equivalent Mg(6)Mg11V cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8V2Ga2 cuboctahedra, faces with two equivalent V(1)Mg10Ga2 cuboctahedra, faces with two equivalent Ga(1)Mg10V2 cuboctahedra, and faces with eight equivalent Mg(5)Mg10VGa cuboctahedra. There is one shorter (3.09 Å) and one longer (3.13 Å) Mg(3)-Mg(3) bond length. Both Mg(3)-Mg(5) bond lengths are 3.11 Å. Both Mg(3)-Mg(6) bond lengths are 3.12 Å. Both Mg(3)-Mg(7) bond lengths are 3.14 Å. There is one shorter (3.12 Å) and one longer (3.15 Å) Mg(3)-V(1) bond length. There is one shorter (3.13 Å) and one longer (3.14 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 Mg(3)Mg8V2Ga2 cuboctahedra, corners with four equivalent V(1)Mg10Ga2 cuboctahedra, corners with four equivalent Ga(1)Mg10V2 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)Mg10VGa cuboctahedra, edges with four equivalent Mg(7)Mg11Ga cuboctahedra, edges with four equivalent Mg(6)Mg11V cuboctahedra, faces with two equivalent Mg(7)Mg11Ga cuboctahedra, faces with two equivalent Mg(6)Mg11V 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)Mg8V2Ga2 cuboctahedra, and faces with eight equivalent Mg(5)Mg10VGa cuboctahedra. Both Mg(4)-Mg(4) bond lengths are 3.11 Å. Both Mg(4)-Mg(5) bond lengths are 3.22 Å. Both Mg(4)-Mg(6) bond lengths are 3.17 Å. Both Mg(4)-Mg(7) bond lengths are 3.15 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 V(1), and one Ga(1) atom to form distorted MgMg10VGa cuboctahedra that share corners with four equivalent Mg(7)Mg11Ga cuboctahedra, corners with four equivalent Mg(6)Mg11V cuboctahedra, corners with ten equivalent Mg(5)Mg10VGa cuboctahedra, edges with two equivalent Mg(5)Mg10VGa cuboctahedra, edges with two equivalent Mg(7)Mg11Ga cuboctahedra, edges with two equivalent Mg(6)Mg11V 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)Mg8V2Ga2 cuboctahedra, edges with two equivalent V(1)Mg10Ga2 cuboctahedra, edges with two equivalent Ga(1)Mg10V2 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one V(1)Mg10Ga2 cuboctahedra,  a faceface with one Ga(1)Mg10V2 cuboctahedra, faces with two equivalent Mg(7)Mg11Ga cuboctahedra, faces with two equivalent Mg(6)Mg11V cuboctahedra, faces with four equivalent Mg(5)Mg10VGa cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with four equivalent Mg(3)Mg8V2Ga2 cuboctahedra. There is one shorter (3.09 Å) and one longer (3.13 Å) Mg(5)-Mg(5) bond length. There is one shorter (3.08 Å) and one longer (3.19 Å) Mg(5)-Mg(6) bond length. There is one shorter (3.10 Å) and one longer (3.17 Å) Mg(5)-Mg(7) bond length. The Mg(5)-V(1) bond length is 3.07 Å. The Mg(5)-Ga(1) bond length is 3.08 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 V(1) atom to form distorted MgMg11V cuboctahedra that share corners with four equivalent Mg(7)Mg11Ga cuboctahedra, corners with six equivalent Mg(6)Mg11V cuboctahedra, corners with eight equivalent Mg(5)Mg10VGa cuboctahedra, edges with two equivalent Mg(7)Mg11Ga cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent V(1)Mg10Ga2 cuboctahedra, edges with four equivalent Mg(5)Mg10VGa cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(3)Mg8V2Ga2 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one V(1)Mg10Ga2 cuboctahedra, faces with two equivalent Mg(7)Mg11Ga cuboctahedra, faces with two equivalent Mg(6)Mg11V cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8V2Ga2 cuboctahedra, faces with three equivalent Mg(2)Mg12 cuboctahedra, faces with three equivalent Ga(1)Mg10V2 cuboctahedra, and faces with four equivalent Mg(5)Mg10VGa cuboctahedra. Both Mg(6)-Mg(7) bond lengths are 3.11 Å. The Mg(6)-V(1) bond length is 3.11 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)Mg11V cuboctahedra, corners with six equivalent Mg(7)Mg11Ga cuboctahedra, corners with eight equivalent Mg(5)Mg10VGa cuboctahedra, edges with two equivalent Mg(6)Mg11V cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Ga(1)Mg10V2 cuboctahedra, edges with four equivalent Mg(5)Mg10VGa cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(3)Mg8V2Ga2 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Ga(1)Mg10V2 cuboctahedra, faces with two equivalent Mg(7)Mg11Ga cuboctahedra, faces with two equivalent Mg(6)Mg11V cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8V2Ga2 cuboctahedra, faces with three equivalent Mg(1)Mg12 cuboctahedra, faces with three equivalent V(1)Mg10Ga2 cuboctahedra, and faces with four equivalent Mg(5)Mg10VGa cuboctahedra. The Mg(7)-Ga(1) bond length is 3.13 Å. V(1) is bonded to two equivalent Mg(6), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Ga(1) atoms to form VMg10Ga2 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent V(1)Mg10Ga2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Ga(1)Mg10V2 cuboctahedra, edges with four equivalent Mg(6)Mg11V cuboctahedra, edges with four equivalent Mg(3)Mg8V2Ga2 cuboctahedra, edges with eight equivalent Mg(5)Mg10VGa cuboctahedra, faces with two equivalent Mg(6)Mg11V cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Ga(1)Mg10V2 cuboctahedra, faces with four equivalent Mg(5)Mg10VGa cuboctahedra, faces with four equivalent Mg(3)Mg8V2Ga2 cuboctahedra, and faces with six equivalent Mg(7)Mg11Ga cuboctahedra. Both V(1)-Ga(1) bond lengths are 3.11 Å. Ga(1) is bonded to two equivalent Mg(7), four equivalent Mg(3), four equivalent Mg(5), and two equivalent V(1) atoms to form GaMg10V2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Ga(1)Mg10V2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent V(1)Mg10Ga2 cuboctahedra, edges with four equivalent Mg(7)Mg11Ga cuboctahedra, edges with four equivalent Mg(3)Mg8V2Ga2 cuboctahedra, edges with eight equivalent Mg(5)Mg10VGa cuboctahedra, faces with two equivalent Mg(7)Mg11Ga cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent V(1)Mg10Ga2 cuboctahedra, faces with four equivalent Mg(5)Mg10VGa cuboctahedra, faces with four equivalent Mg(3)Mg8V2Ga2 cuboctahedra, and faces with six equivalent Mg(6)Mg11V cuboctahedra.