Materials Data on LuGaNi2 by Materials Project
LuNi2Ga is Frank-Kasper $\mu$ Phase-derived structured and crystallizes in the trigonal P-3m1 space group. The structure is three-dimensional. there are three inequivalent Lu sites. In the first Lu site, Lu is bonded in a 12-coordinate geometry to three equivalent Ni and nine equivalent Ga atoms. All Lu–Ni bond lengths are 2.99 Å. There are six shorter (2.98 Å) and three longer (3.02 Å) Lu–Ga bond lengths. In the second Lu site, Lu is bonded in a 12-coordinate geometry to twelve Ni atoms. There are six shorter (2.89 Å) and six longer (3.01 Å) Lu–Ni bond lengths. In the third Lu site, Lu is bonded in a 6-coordinate geometry to twelve Ni and six equivalent Ga atoms. There are six shorter (2.94 Å) and six longer (3.18 Å) Lu–Ni bond lengths. All Lu–Ga bond lengths are 3.27 Å. There are five inequivalent Ni sites. In the first Ni site, Ni is bonded in a 12-coordinate geometry to three equivalent Lu, three equivalent Ni, and three equivalent Ga atoms. All Ni–Ni bond lengths are 2.44 Å. All Ni–Ga bond lengths are 2.47 Å. In the second Ni site, Ni is bonded in a 12-coordinate geometry to three equivalent Lu, three equivalent Ni, and three equivalent Ga atoms. All Ni–Ni bond lengths are 2.47 Å. All Ni–Ga bond lengths are 2.46 Å. In the third Ni site, Ni is bonded to six equivalent Lu and six equivalent Ni atoms to form NiLu6Ni6 cuboctahedra that share corners with twelve equivalent NiLu5Ni7 cuboctahedra, edges with six equivalent NiLu6Ni6 cuboctahedra, and faces with eighteen equivalent NiLu5Ni7 cuboctahedra. All Ni–Ni bond lengths are 2.48 Å. In the fourth Ni site, Ni is bonded to six equivalent Lu and six equivalent Ga atoms to form NiLu6Ga6 cuboctahedra that share corners with twelve equivalent GaLu5Ga4Ni3 cuboctahedra, edges with six equivalent NiLu6Ga6 cuboctahedra, and faces with eighteen equivalent GaLu5Ga4Ni3 cuboctahedra. All Ni–Ga bond lengths are 2.57 Å. In the fifth Ni site, Ni is bonded to five Lu and seven Ni atoms to form NiLu5Ni7 cuboctahedra that share corners with six equivalent GaLu5Ga4Ni3 cuboctahedra, corners with eleven NiLu6Ni6 cuboctahedra, edges with four equivalent NiLu5Ni7 cuboctahedra, edges with four equivalent GaLu5Ga4Ni3 cuboctahedra, a faceface with one GaLu5Ga4Ni3 cuboctahedra, and faces with thirteen NiLu6Ni6 cuboctahedra. There are two shorter (2.53 Å) and two longer (2.56 Å) Ni–Ni bond lengths. Ga is bonded to five Lu, three Ni, and four equivalent Ga atoms to form distorted GaLu5Ga4Ni3 cuboctahedra that share corners with eight NiLu6Ga6 cuboctahedra, corners with nine equivalent GaLu5Ga4Ni3 cuboctahedra, edges with four equivalent NiLu5Ni7 cuboctahedra, edges with four equivalent GaLu5Ga4Ni3 cuboctahedra, faces with four NiLu6Ga6 cuboctahedra, and faces with ten equivalent GaLu5Ga4Ni3 cuboctahedra. There are two shorter (2.54 Å) and two longer (2.56 Å) Ga–Ga bond lengths.