MgGa5 crystallizes in the trigonal R32 space group. Mg(1) is bonded to six Ga(1,1,1) and six equivalent Ga(2) atoms to form MgGa12 cuboctahedra that share corners with six equivalent Mg(1)Ga12 cuboctahedra; corners with twelve equivalent Ga(2)Mg3Ga9 cuboctahedra; edges with six equivalent Mg(1)Ga12 cuboctahedra; edges with twelve Ga(1,1,1)Mg2Ga10 cuboctahedra; faces with eight equivalent Ga(2)Mg3Ga9 cuboctahedra; and faces with twelve Ga(1,1,1)Mg2Ga10 cuboctahedra. There are five inequivalent Ga sites. In the first Ga site, Ga(1) is bonded to two equivalent Mg(1), four equivalent Ga(2), and six equivalent Ga(1) atoms to form distorted GaMg2Ga10 cuboctahedra that share corners with eighteen Ga(1,1,1)Mg2Ga10 cuboctahedra; edges with four equivalent Mg(1)Ga12 cuboctahedra; edges with six equivalent Ga(1)Mg2Ga10 cuboctahedra; edges with eight equivalent Ga(2)Mg3Ga9 cuboctahedra; faces with four equivalent Mg(1)Ga12 cuboctahedra; faces with eight equivalent Ga(1)Mg2Ga10 cuboctahedra; and faces with eight equivalent Ga(2)Mg3Ga9 cuboctahedra. In the second Ga site, Ga(2) is bonded to three equivalent Mg(1); three equivalent Ga(2); and six Ga(1,1,1) atoms to form distorted GaMg3Ga9 cuboctahedra that share corners with six equivalent Mg(1)Ga12 cuboctahedra; corners with twelve equivalent Ga(2)Mg3Ga9 cuboctahedra; edges with six equivalent Ga(2)Mg3Ga9 cuboctahedra; edges with twelve Ga(1,1,1)Mg2Ga10 cuboctahedra; faces with four equivalent Mg(1)Ga12 cuboctahedra; faces with four equivalent Ga(2)Mg3Ga9 cuboctahedra; and faces with twelve Ga(1,1,1)Mg2Ga10 cuboctahedra. In the third Ga site, Ga(1) is bonded to two equivalent Mg(1); four equivalent Ga(2); and six Ga(1,1) atoms to form distorted GaMg2Ga10 cuboctahedra that share corners with eighteen Ga(1,1,1)Mg2Ga10 cuboctahedra; edges with four equivalent Mg(1)Ga12 cuboctahedra; edges with six equivalent Ga(1)Mg2Ga10 cuboctahedra; edges with eight equivalent Ga(2)Mg3Ga9 cuboctahedra; faces with four equivalent Mg(1)Ga12 cuboctahedra; faces with eight Ga(1,1,1)Mg2Ga10 cuboctahedra; and faces with eight equivalent Ga(2)Mg3Ga9 cuboctahedra. In the fourth Ga site, Ga(1) is bonded to two equivalent Mg(1), four equivalent Ga(2), and six equivalent Ga(1) atoms to form distorted GaMg2Ga10 cuboctahedra that share corners with eighteen Ga(1,1,1)Mg2Ga10 cuboctahedra; edges with four equivalent Mg(1)Ga12 cuboctahedra; edges with six equivalent Ga(1)Mg2Ga10 cuboctahedra; edges with eight equivalent Ga(2)Mg3Ga9 cuboctahedra; faces with four equivalent Mg(1)Ga12 cuboctahedra; faces with eight equivalent Ga(1)Mg2Ga10 cuboctahedra; and faces with eight equivalent Ga(2)Mg3Ga9 cuboctahedra. In the fifth Ga site, Ga(1) is bonded to two equivalent Mg(1), four equivalent Ga(2), and six equivalent Ga(1) atoms to form distorted GaMg2Ga10 cuboctahedra that share corners with eighteen Ga(1,1,1)Mg2Ga10 cuboctahedra; edges with four equivalent Mg(1)Ga12 cuboctahedra; edges with six equivalent Ga(1)Mg2Ga10 cuboctahedra; edges with eight equivalent Ga(2)Mg3Ga9 cuboctahedra; faces with four equivalent Mg(1)Ga12 cuboctahedra; faces with eight equivalent Ga(1)Mg2Ga10 cuboctahedra; and faces with eight equivalent Ga(2)Mg3Ga9 cuboctahedra.
MgGa5 crystallizes in the trigonal R32 space group. Mg(1) is bonded to six Ga(1,1,1) and six equivalent Ga(2) atoms to form MgGa12 cuboctahedra that share corners with six equivalent Mg(1)Ga12 cuboctahedra; corners with twelve equivalent Ga(2)Mg3Ga9 cuboctahedra; edges with six equivalent Mg(1)Ga12 cuboctahedra; edges with twelve Ga(1,1,1)Mg2Ga10 cuboctahedra; faces with eight equivalent Ga(2)Mg3Ga9 cuboctahedra; and faces with twelve Ga(1,1,1)Mg2Ga10 cuboctahedra. All Mg(1)-Ga(1,1,1) bond lengths are 2.93 Å. All Mg(1)-Ga(2) bond lengths are 2.97 Å. There are five inequivalent Ga sites. In the first Ga site, Ga(1) is bonded to two equivalent Mg(1), four equivalent Ga(2), and six equivalent Ga(1) atoms to form distorted GaMg2Ga10 cuboctahedra that share corners with eighteen Ga(1,1,1)Mg2Ga10 cuboctahedra; edges with four equivalent Mg(1)Ga12 cuboctahedra; edges with six equivalent Ga(1)Mg2Ga10 cuboctahedra; edges with eight equivalent Ga(2)Mg3Ga9 cuboctahedra; faces with four equivalent Mg(1)Ga12 cuboctahedra; faces with eight equivalent Ga(1)Mg2Ga10 cuboctahedra; and faces with eight equivalent Ga(2)Mg3Ga9 cuboctahedra. There are two shorter (2.84 Å) and two longer (3.03 Å) Ga(1)-Ga(2) bond lengths. There are four shorter (2.95 Å) and two longer (3.00 Å) Ga(1)-Ga(1) bond lengths. In the second Ga site, Ga(2) is bonded to three equivalent Mg(1); three equivalent Ga(2); and six Ga(1,1,1) atoms to form distorted GaMg3Ga9 cuboctahedra that share corners with six equivalent Mg(1)Ga12 cuboctahedra; corners with twelve equivalent Ga(2)Mg3Ga9 cuboctahedra; edges with six equivalent Ga(2)Mg3Ga9 cuboctahedra; edges with twelve Ga(1,1,1)Mg2Ga10 cuboctahedra; faces with four equivalent Mg(1)Ga12 cuboctahedra; faces with four equivalent Ga(2)Mg3Ga9 cuboctahedra; and faces with twelve Ga(1,1,1)Mg2Ga10 cuboctahedra. All Ga(2)-Ga(2) bond lengths are 2.98 Å. There are three shorter (2.84 Å) and two longer (3.03 Å) Ga(2)-Ga(1,1) bond lengths. In the third Ga site, Ga(1) is bonded to two equivalent Mg(1); four equivalent Ga(2); and six Ga(1,1) atoms to form distorted GaMg2Ga10 cuboctahedra that share corners with eighteen Ga(1,1,1)Mg2Ga10 cuboctahedra; edges with four equivalent Mg(1)Ga12 cuboctahedra; edges with six equivalent Ga(1)Mg2Ga10 cuboctahedra; edges with eight equivalent Ga(2)Mg3Ga9 cuboctahedra; faces with four equivalent Mg(1)Ga12 cuboctahedra; faces with eight Ga(1,1,1)Mg2Ga10 cuboctahedra; and faces with eight equivalent Ga(2)Mg3Ga9 cuboctahedra. There are two shorter (2.95 Å) and one longer (3.00 Å) Ga(1)-Ga(1) bond length. In the fourth Ga site, Ga(1) is bonded to two equivalent Mg(1), four equivalent Ga(2), and six equivalent Ga(1) atoms to form distorted GaMg2Ga10 cuboctahedra that share corners with eighteen Ga(1,1,1)Mg2Ga10 cuboctahedra; edges with four equivalent Mg(1)Ga12 cuboctahedra; edges with six equivalent Ga(1)Mg2Ga10 cuboctahedra; edges with eight equivalent Ga(2)Mg3Ga9 cuboctahedra; faces with four equivalent Mg(1)Ga12 cuboctahedra; faces with eight equivalent Ga(1)Mg2Ga10 cuboctahedra; and faces with eight equivalent Ga(2)Mg3Ga9 cuboctahedra. Both Ga(1)-Mg(1) bond lengths are 2.93 Å. There are two shorter (2.84 Å) and two longer (3.03 Å) Ga(1)-Ga(2) bond lengths. There are four shorter (2.95 Å) and two longer (3.00 Å) Ga(1)-Ga(1) bond lengths. In the fifth Ga site, Ga(1) is bonded to two equivalent Mg(1), four equivalent Ga(2), and six equivalent Ga(1) atoms to form distorted GaMg2Ga10 cuboctahedra that share corners with eighteen Ga(1,1,1)Mg2Ga10 cuboctahedra; edges with four equivalent Mg(1)Ga12 cuboctahedra; edges with six equivalent Ga(1)Mg2Ga10 cuboctahedra; edges with eight equivalent Ga(2)Mg3Ga9 cuboctahedra; faces with four equivalent Mg(1)Ga12 cuboctahedra; faces with eight equivalent Ga(1)Mg2Ga10 cuboctahedra; and faces with eight equivalent Ga(2)Mg3Ga9 cuboctahedra. There are four shorter (2.95 Å) and two longer (3.00 Å) Ga(1)-Ga(1) bond lengths.