LuNi2Ga is Frank-Kasper $\mu$ Phase-derived structured and crystallizes in the hexagonal P6_3/mmc space group. There are two inequivalent Lu sites. In the first Lu site, Lu(1) is bonded in a 12-coordinate geometry to one Lu(2), nine equivalent Ni(1), and three equivalent Ga(3) atoms. In the second Lu site, Lu(2) is bonded in a 20-coordinate geometry to two equivalent Lu(1), twelve equivalent Ni(1), three equivalent Ga(1), and three equivalent Ga(2) atoms. Ni(1) is bonded to two equivalent Lu(2), three equivalent Lu(1), four equivalent Ni(1), one Ga(1), one Ga(2), and one Ga(3) atom to form distorted NiLu5Ga3Ni4 cuboctahedra that share corners with two equivalent Ga(3)Lu6Ni6 cuboctahedra, corners with fifteen equivalent Ni(1)Lu5Ga3Ni4 cuboctahedra, edges with eight equivalent Ni(1)Lu5Ga3Ni4 cuboctahedra, faces with three equivalent Ga(3)Lu6Ni6 cuboctahedra, and faces with eleven equivalent Ni(1)Lu5Ga3Ni4 cuboctahedra. There are three inequivalent Ga sites. In the first Ga site, Ga(1) is bonded in a 9-coordinate geometry to three equivalent Lu(2) and six equivalent Ni(1) atoms. In the second Ga site, Ga(2) is bonded in a 9-coordinate geometry to three equivalent Lu(2) and six equivalent Ni(1) atoms. In the third Ga site, Ga(3) is bonded to six equivalent Lu(1) and six equivalent Ni(1) atoms to form GaLu6Ni6 cuboctahedra that share corners with twelve equivalent Ni(1)Lu5Ga3Ni4 cuboctahedra, edges with six equivalent Ga(3)Lu6Ni6 cuboctahedra, and faces with eighteen equivalent Ni(1)Lu5Ga3Ni4 cuboctahedra.
LuNi2Ga is Frank-Kasper $\mu$ Phase-derived structured and crystallizes in the hexagonal P6_3/mmc space group. There are two inequivalent Lu sites. In the first Lu site, Lu(1) is bonded in a 12-coordinate geometry to one Lu(2), nine equivalent Ni(1), and three equivalent Ga(3) atoms. The Lu(1)-Lu(2) bond length is 3.23 Å. There are six shorter (2.85 Å) and three longer (3.00 Å) Lu(1)-Ni(1) bond lengths. All Lu(1)-Ga(3) bond lengths are 3.01 Å. In the second Lu site, Lu(2) is bonded in a 20-coordinate geometry to two equivalent Lu(1), twelve equivalent Ni(1), three equivalent Ga(1), and three equivalent Ga(2) atoms. All Lu(2)-Ni(1) bond lengths are 3.20 Å. All Lu(2)-Ga(1) bond lengths are 2.94 Å. All Lu(2)-Ga(2) bond lengths are 2.94 Å. Ni(1) is bonded to two equivalent Lu(2), three equivalent Lu(1), four equivalent Ni(1), one Ga(1), one Ga(2), and one Ga(3) atom to form distorted NiLu5Ga3Ni4 cuboctahedra that share corners with two equivalent Ga(3)Lu6Ni6 cuboctahedra, corners with fifteen equivalent Ni(1)Lu5Ga3Ni4 cuboctahedra, edges with eight equivalent Ni(1)Lu5Ga3Ni4 cuboctahedra, faces with three equivalent Ga(3)Lu6Ni6 cuboctahedra, and faces with eleven equivalent Ni(1)Lu5Ga3Ni4 cuboctahedra. There are two shorter (2.51 Å) and two longer (2.58 Å) Ni(1)-Ni(1) bond lengths. The Ni(1)-Ga(1) bond length is 2.45 Å. The Ni(1)-Ga(2) bond length is 2.42 Å. The Ni(1)-Ga(3) bond length is 2.46 Å. There are three inequivalent Ga sites. In the first Ga site, Ga(1) is bonded in a 9-coordinate geometry to three equivalent Lu(2) and six equivalent Ni(1) atoms. In the second Ga site, Ga(2) is bonded in a 9-coordinate geometry to three equivalent Lu(2) and six equivalent Ni(1) atoms. In the third Ga site, Ga(3) is bonded to six equivalent Lu(1) and six equivalent Ni(1) atoms to form GaLu6Ni6 cuboctahedra that share corners with twelve equivalent Ni(1)Lu5Ga3Ni4 cuboctahedra, edges with six equivalent Ga(3)Lu6Ni6 cuboctahedra, and faces with eighteen equivalent Ni(1)Lu5Ga3Ni4 cuboctahedra.