Mg6WGa crystallizes in the orthorhombic Amm2 space group. There are four inequivalent Mg sites. In the first Mg site, Mg(1) is bonded in a 4-coordinate geometry to two equivalent Mg(2), two equivalent Mg(4), two equivalent W(1), and two equivalent Ga(1) atoms. In the second Mg site, Mg(2) is bonded to two equivalent Mg(4), four equivalent Mg(1), four equivalent Mg(3), and two equivalent W(1) atoms to form distorted MgMg10W2 cuboctahedra that share corners with four equivalent W(1)Mg10Ga2 cuboctahedra, corners with six equivalent Mg(2)Mg10W2 cuboctahedra, edges with two equivalent W(1)Mg10Ga2 cuboctahedra, edges with four equivalent Mg(4)Mg10Ga2 cuboctahedra, faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra, faces with two equivalent Mg(2)Mg10W2 cuboctahedra, faces with two equivalent W(1)Mg10Ga2 cuboctahedra, and faces with six equivalent Ga(1)Mg10W2 cuboctahedra. In the third Mg site, Mg(3) is bonded in a 3-coordinate geometry to two equivalent Mg(2), two equivalent Mg(4), two equivalent W(1), and two equivalent Ga(1) atoms. In the fourth Mg site, Mg(4) is bonded to two equivalent Mg(2), four equivalent Mg(1), four equivalent Mg(3), and two equivalent Ga(1) atoms to form distorted MgMg10Ga2 cuboctahedra that share corners with four equivalent Ga(1)Mg10W2 cuboctahedra, corners with six equivalent Mg(4)Mg10Ga2 cuboctahedra, edges with two equivalent Ga(1)Mg10W2 cuboctahedra, edges with four equivalent Mg(2)Mg10W2 cuboctahedra, faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra, faces with two equivalent Mg(2)Mg10W2 cuboctahedra, faces with two equivalent Ga(1)Mg10W2 cuboctahedra, and faces with six equivalent W(1)Mg10Ga2 cuboctahedra. W(1) is bonded to two equivalent Mg(2), four equivalent Mg(1), four equivalent Mg(3), and two equivalent Ga(1) atoms to form WMg10Ga2 cuboctahedra that share corners with four equivalent Mg(2)Mg10W2 cuboctahedra, corners with six equivalent W(1)Mg10Ga2 cuboctahedra, edges with two equivalent Mg(2)Mg10W2 cuboctahedra, edges with four equivalent Ga(1)Mg10W2 cuboctahedra, faces with two equivalent Mg(2)Mg10W2 cuboctahedra, faces with two equivalent W(1)Mg10Ga2 cuboctahedra, faces with two equivalent Ga(1)Mg10W2 cuboctahedra, and faces with six equivalent Mg(4)Mg10Ga2 cuboctahedra. Ga(1) is bonded to two equivalent Mg(4), four equivalent Mg(1), four equivalent Mg(3), and two equivalent W(1) atoms to form distorted GaMg10W2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Ga2 cuboctahedra, corners with six equivalent Ga(1)Mg10W2 cuboctahedra, edges with two equivalent Mg(4)Mg10Ga2 cuboctahedra, edges with four equivalent W(1)Mg10Ga2 cuboctahedra, faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra, faces with two equivalent W(1)Mg10Ga2 cuboctahedra, faces with two equivalent Ga(1)Mg10W2 cuboctahedra, and faces with six equivalent Mg(2)Mg10W2 cuboctahedra.
Mg6WGa crystallizes in the orthorhombic Amm2 space group. There are four inequivalent Mg sites. In the first Mg site, Mg(1) is bonded in a 4-coordinate geometry to two equivalent Mg(2), two equivalent Mg(4), two equivalent W(1), and two equivalent Ga(1) atoms. There is one shorter (3.03 Å) and one longer (3.07 Å) Mg(1)-Mg(2) bond length. Both Mg(1)-Mg(4) bond lengths are 3.01 Å. There is one shorter (3.00 Å) and one longer (3.10 Å) Mg(1)-W(1) bond length. Both Mg(1)-Ga(1) bond lengths are 3.05 Å. In the second Mg site, Mg(2) is bonded to two equivalent Mg(4), four equivalent Mg(1), four equivalent Mg(3), and two equivalent W(1) atoms to form distorted MgMg10W2 cuboctahedra that share corners with four equivalent W(1)Mg10Ga2 cuboctahedra, corners with six equivalent Mg(2)Mg10W2 cuboctahedra, edges with two equivalent W(1)Mg10Ga2 cuboctahedra, edges with four equivalent Mg(4)Mg10Ga2 cuboctahedra, faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra, faces with two equivalent Mg(2)Mg10W2 cuboctahedra, faces with two equivalent W(1)Mg10Ga2 cuboctahedra, and faces with six equivalent Ga(1)Mg10W2 cuboctahedra. Both Mg(2)-Mg(4) bond lengths are 2.99 Å. All Mg(2)-Mg(3) bond lengths are 3.03 Å. Both Mg(2)-W(1) bond lengths are 3.08 Å. In the third Mg site, Mg(3) is bonded in a 3-coordinate geometry to two equivalent Mg(2), two equivalent Mg(4), two equivalent W(1), and two equivalent Ga(1) atoms. Both Mg(3)-Mg(4) bond lengths are 3.05 Å. Both Mg(3)-W(1) bond lengths are 2.96 Å. There is one shorter (2.80 Å) and one longer (3.30 Å) Mg(3)-Ga(1) bond length. In the fourth Mg site, Mg(4) is bonded to two equivalent Mg(2), four equivalent Mg(1), four equivalent Mg(3), and two equivalent Ga(1) atoms to form distorted MgMg10Ga2 cuboctahedra that share corners with four equivalent Ga(1)Mg10W2 cuboctahedra, corners with six equivalent Mg(4)Mg10Ga2 cuboctahedra, edges with two equivalent Ga(1)Mg10W2 cuboctahedra, edges with four equivalent Mg(2)Mg10W2 cuboctahedra, faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra, faces with two equivalent Mg(2)Mg10W2 cuboctahedra, faces with two equivalent Ga(1)Mg10W2 cuboctahedra, and faces with six equivalent W(1)Mg10Ga2 cuboctahedra. Both Mg(4)-Ga(1) bond lengths are 3.09 Å. W(1) is bonded to two equivalent Mg(2), four equivalent Mg(1), four equivalent Mg(3), and two equivalent Ga(1) atoms to form WMg10Ga2 cuboctahedra that share corners with four equivalent Mg(2)Mg10W2 cuboctahedra, corners with six equivalent W(1)Mg10Ga2 cuboctahedra, edges with two equivalent Mg(2)Mg10W2 cuboctahedra, edges with four equivalent Ga(1)Mg10W2 cuboctahedra, faces with two equivalent Mg(2)Mg10W2 cuboctahedra, faces with two equivalent W(1)Mg10Ga2 cuboctahedra, faces with two equivalent Ga(1)Mg10W2 cuboctahedra, and faces with six equivalent Mg(4)Mg10Ga2 cuboctahedra. Both W(1)-Ga(1) bond lengths are 2.85 Å. Ga(1) is bonded to two equivalent Mg(4), four equivalent Mg(1), four equivalent Mg(3), and two equivalent W(1) atoms to form distorted GaMg10W2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Ga2 cuboctahedra, corners with six equivalent Ga(1)Mg10W2 cuboctahedra, edges with two equivalent Mg(4)Mg10Ga2 cuboctahedra, edges with four equivalent W(1)Mg10Ga2 cuboctahedra, faces with two equivalent Mg(4)Mg10Ga2 cuboctahedra, faces with two equivalent W(1)Mg10Ga2 cuboctahedra, faces with two equivalent Ga(1)Mg10W2 cuboctahedra, and faces with six equivalent Mg(2)Mg10W2 cuboctahedra.