Lu3Ga is beta Cu3Ti-like structured and crystallizes in the hexagonal P6_3/mmc space group. Lu(1) is bonded to eight equivalent Lu(1) and four equivalent Ga(1) atoms to form distorted LuLu8Ga4 cuboctahedra that share corners with four equivalent Ga(1)Lu12 cuboctahedra, corners with fourteen equivalent Lu(1)Lu8Ga4 cuboctahedra, edges with six equivalent Ga(1)Lu12 cuboctahedra, edges with twelve equivalent Lu(1)Lu8Ga4 cuboctahedra, faces with four equivalent Ga(1)Lu12 cuboctahedra, and faces with sixteen equivalent Lu(1)Lu8Ga4 cuboctahedra. Ga(1) is bonded to twelve equivalent Lu(1) atoms to form GaLu12 cuboctahedra that share corners with six equivalent Ga(1)Lu12 cuboctahedra, corners with twelve equivalent Lu(1)Lu8Ga4 cuboctahedra, edges with eighteen equivalent Lu(1)Lu8Ga4 cuboctahedra, faces with eight equivalent Ga(1)Lu12 cuboctahedra, and faces with twelve equivalent Lu(1)Lu8Ga4 cuboctahedra.
Lu3Ga is beta Cu3Ti-like structured and crystallizes in the hexagonal P6_3/mmc space group. Lu(1) is bonded to eight equivalent Lu(1) and four equivalent Ga(1) atoms to form distorted LuLu8Ga4 cuboctahedra that share corners with four equivalent Ga(1)Lu12 cuboctahedra, corners with fourteen equivalent Lu(1)Lu8Ga4 cuboctahedra, edges with six equivalent Ga(1)Lu12 cuboctahedra, edges with twelve equivalent Lu(1)Lu8Ga4 cuboctahedra, faces with four equivalent Ga(1)Lu12 cuboctahedra, and faces with sixteen equivalent Lu(1)Lu8Ga4 cuboctahedra. There are a spread of Lu(1)-Lu(1) bond distances ranging from 3.20-3.41 Å. There are two shorter (3.20 Å) and two longer (3.30 Å) Lu(1)-Ga(1) bond lengths. Ga(1) is bonded to twelve equivalent Lu(1) atoms to form GaLu12 cuboctahedra that share corners with six equivalent Ga(1)Lu12 cuboctahedra, corners with twelve equivalent Lu(1)Lu8Ga4 cuboctahedra, edges with eighteen equivalent Lu(1)Lu8Ga4 cuboctahedra, faces with eight equivalent Ga(1)Lu12 cuboctahedra, and faces with twelve equivalent Lu(1)Lu8Ga4 cuboctahedra.