Lu3Ga2 crystallizes in the tetragonal I4/mcm space group. There are three inequivalent Lu sites. In the first Lu site, Lu(1) is bonded in a 4-coordinate geometry to two equivalent Ga(3) and four equivalent Ga(4) atoms. In the second Lu site, Lu(2) is bonded in a 5-coordinate geometry to two equivalent Ga(4) and three equivalent Ga(3) atoms. In the third Lu site, Lu(3) is bonded in a 6-coordinate geometry to one Ga(1), one Ga(2), one Ga(3), and three equivalent Ga(4) atoms. There are four inequivalent Ga sites. In the first Ga site, Ga(1) is bonded in a 8-coordinate geometry to eight equivalent Lu(3) atoms. In the second Ga site, Ga(2) is bonded in a body-centered cubic geometry to eight equivalent Lu(3) atoms. In the third Ga site, Ga(3) is bonded in a 9-coordinate geometry to two equivalent Lu(1), three equivalent Lu(2), and four equivalent Lu(3) atoms. In the fourth Ga site, Ga(4) is bonded in a 10-coordinate geometry to one Lu(2), two equivalent Lu(1), six equivalent Lu(3), and one Ga(4) atom.
Lu3Ga2 crystallizes in the tetragonal I4/mcm space group. There are three inequivalent Lu sites. In the first Lu site, Lu(1) is bonded in a 4-coordinate geometry to two equivalent Ga(3) and four equivalent Ga(4) atoms. Both Lu(1)-Ga(3) bond lengths are 2.82 Å. There are two shorter (2.93 Å) and two longer (3.59 Å) Lu(1)-Ga(4) bond lengths. In the second Lu site, Lu(2) is bonded in a 5-coordinate geometry to two equivalent Ga(4) and three equivalent Ga(3) atoms. Both Lu(2)-Ga(4) bond lengths are 2.89 Å. There are two shorter (3.30 Å) and one longer (3.38 Å) Lu(2)-Ga(3) bond length. In the third Lu site, Lu(3) is bonded in a 6-coordinate geometry to one Ga(1), one Ga(2), one Ga(3), and three equivalent Ga(4) atoms. The Lu(3)-Ga(1) bond length is 2.92 Å. The Lu(3)-Ga(2) bond length is 3.11 Å. The Lu(3)-Ga(3) bond length is 2.87 Å. There are a spread of Lu(3)-Ga(4) bond distances ranging from 2.98-3.20 Å. There are four inequivalent Ga sites. In the first Ga site, Ga(1) is bonded in a 8-coordinate geometry to eight equivalent Lu(3) atoms. In the second Ga site, Ga(2) is bonded in a body-centered cubic geometry to eight equivalent Lu(3) atoms. In the third Ga site, Ga(3) is bonded in a 9-coordinate geometry to two equivalent Lu(1), three equivalent Lu(2), and four equivalent Lu(3) atoms. In the fourth Ga site, Ga(4) is bonded in a 10-coordinate geometry to one Lu(2), two equivalent Lu(1), six equivalent Lu(3), and one Ga(4) atom. The Ga(4)-Ga(4) bond length is 2.73 Å.