Lu(OH)3 crystallizes in the trigonal R-3 space group. There are two inequivalent Lu sites. In the first Lu site, Lu(1) is bonded to two equivalent O(1) and four equivalent O(2) atoms to form corner-sharing LuO6 octahedra. The corner-sharing octahedral tilt angles range from 47-48°. In the second Lu site, Lu(2) is bonded to six equivalent O(1) atoms to form corner-sharing LuO6 octahedra. The corner-sharing octahedral tilt angles are 48°. There are two inequivalent H sites. In the first H site, H(1) is bonded in a single-bond geometry to one O(1) atom. In the second H site, H(2) is bonded in a single-bond geometry to one O(2) atom. There are two inequivalent O sites. In the first O site, O(1) is bonded in a distorted single-bond geometry to one Lu(1), one Lu(2), and one H(1) atom. In the second O site, O(2) is bonded in a distorted single-bond geometry to two equivalent Lu(1) and one H(2) atom.
Lu(OH)3 crystallizes in the trigonal R-3 space group. There are two inequivalent Lu sites. In the first Lu site, Lu(1) is bonded to two equivalent O(1) and four equivalent O(2) atoms to form corner-sharing LuO6 octahedra. The corner-sharing octahedral tilt angles range from 47-48°. Both Lu(1)-O(1) bond lengths are 2.22 Å. There are two shorter (2.19 Å) and two longer (2.22 Å) Lu(1)-O(2) bond lengths. In the second Lu site, Lu(2) is bonded to six equivalent O(1) atoms to form corner-sharing LuO6 octahedra. The corner-sharing octahedral tilt angles are 48°. All Lu(2)-O(1) bond lengths are 2.21 Å. There are two inequivalent H sites. In the first H site, H(1) is bonded in a single-bond geometry to one O(1) atom. The H(1)-O(1) bond length is 0.99 Å. In the second H site, H(2) is bonded in a single-bond geometry to one O(2) atom. The H(2)-O(2) bond length is 0.99 Å. There are two inequivalent O sites. In the first O site, O(1) is bonded in a distorted single-bond geometry to one Lu(1), one Lu(2), and one H(1) atom. In the second O site, O(2) is bonded in a distorted single-bond geometry to two equivalent Lu(1) and one H(2) atom.