Lu3Nd is beta Cu3Ti-like 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 to eight Lu(1,1) and four equivalent Nd(1) atoms to form LuNd4Lu8 cuboctahedra that share corners with four equivalent Nd(1)Lu12 cuboctahedra; corners with fourteen Lu(1,1)Nd4Lu8 cuboctahedra; edges with six equivalent Nd(1)Lu12 cuboctahedra; edges with twelve Lu(1,1)Nd4Lu8 cuboctahedra; faces with four equivalent Nd(1)Lu12 cuboctahedra; and faces with sixteen Lu(1,1)Nd4Lu8 cuboctahedra. In the second Lu site, Lu(1) is bonded to eight equivalent Lu(1) and four equivalent Nd(1) atoms to form LuNd4Lu8 cuboctahedra that share corners with four equivalent Nd(1)Lu12 cuboctahedra; corners with fourteen Lu(1,1)Nd4Lu8 cuboctahedra; edges with six equivalent Nd(1)Lu12 cuboctahedra; edges with twelve equivalent Lu(1)Nd4Lu8 cuboctahedra; faces with four equivalent Nd(1)Lu12 cuboctahedra; and faces with sixteen Lu(1,1)Nd4Lu8 cuboctahedra. Nd(1) is bonded to twelve Lu(1,1) atoms to form NdLu12 cuboctahedra that share corners with six equivalent Nd(1)Lu12 cuboctahedra; corners with twelve Lu(1,1)Nd4Lu8 cuboctahedra; edges with eighteen Lu(1,1)Nd4Lu8 cuboctahedra; faces with eight equivalent Nd(1)Lu12 cuboctahedra; and faces with twelve Lu(1,1)Nd4Lu8 cuboctahedra.
Lu3Nd is beta Cu3Ti-like 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 to eight Lu(1,1) and four equivalent Nd(1) atoms to form LuNd4Lu8 cuboctahedra that share corners with four equivalent Nd(1)Lu12 cuboctahedra; corners with fourteen Lu(1,1)Nd4Lu8 cuboctahedra; edges with six equivalent Nd(1)Lu12 cuboctahedra; edges with twelve Lu(1,1)Nd4Lu8 cuboctahedra; faces with four equivalent Nd(1)Lu12 cuboctahedra; and faces with sixteen Lu(1,1)Nd4Lu8 cuboctahedra. There are a spread of Lu(1)-Lu(1,1) bond distances ranging from 3.49-3.62 Å. There are two shorter (3.52 Å) and two longer (3.57 Å) Lu(1)-Nd(1) bond lengths. In the second Lu site, Lu(1) is bonded to eight equivalent Lu(1) and four equivalent Nd(1) atoms to form LuNd4Lu8 cuboctahedra that share corners with four equivalent Nd(1)Lu12 cuboctahedra; corners with fourteen Lu(1,1)Nd4Lu8 cuboctahedra; edges with six equivalent Nd(1)Lu12 cuboctahedra; edges with twelve equivalent Lu(1)Nd4Lu8 cuboctahedra; faces with four equivalent Nd(1)Lu12 cuboctahedra; and faces with sixteen Lu(1,1)Nd4Lu8 cuboctahedra. There are two shorter (3.52 Å) and two longer (3.57 Å) Lu(1)-Nd(1) bond lengths. Nd(1) is bonded to twelve Lu(1,1) atoms to form NdLu12 cuboctahedra that share corners with six equivalent Nd(1)Lu12 cuboctahedra; corners with twelve Lu(1,1)Nd4Lu8 cuboctahedra; edges with eighteen Lu(1,1)Nd4Lu8 cuboctahedra; faces with eight equivalent Nd(1)Lu12 cuboctahedra; and faces with twelve Lu(1,1)Nd4Lu8 cuboctahedra.