Lu4(B2O5)3 crystallizes in the trigonal R3 space group. There are two inequivalent Lu sites. In the first Lu site, Lu(1) is bonded to one O(1), one O(5), two equivalent O(2), and two equivalent O(3) atoms to form edge-sharing LuO6 octahedra. In the second Lu site, Lu(2) is bonded to three equivalent O(1) and three equivalent O(5) atoms to form edge-sharing LuO6 octahedra. There are two inequivalent B sites. In the first B site, B(1) is bonded in a trigonal planar geometry to one O(2), one O(4), and one O(5) atom. In the second B site, B(2) is bonded in a trigonal planar geometry to one O(1), one O(3), and one O(4) atom. There are five inequivalent O sites. In the first O site, O(3) is bonded in a 3-coordinate geometry to two equivalent Lu(1) and one B(2) atom. In the second O site, O(4) is bonded in a bent 120 degrees geometry to one B(1) and one B(2) atom. In the third O site, O(5) is bonded in a distorted T-shaped geometry to one Lu(1), one Lu(2), and one B(1) atom. In the fourth O site, O(1) is bonded in a distorted trigonal planar geometry to one Lu(1), one Lu(2), and one B(2) atom. In the fifth O site, O(2) is bonded in a distorted trigonal planar geometry to two equivalent Lu(1) and one B(1) atom.
Lu4(B2O5)3 crystallizes in the trigonal R3 space group. There are two inequivalent Lu sites. In the first Lu site, Lu(1) is bonded to one O(1), one O(5), two equivalent O(2), and two equivalent O(3) atoms to form edge-sharing LuO6 octahedra. The Lu(1)-O(1) bond length is 2.22 Å. The Lu(1)-O(5) bond length is 2.23 Å. There is one shorter (2.16 Å) and one longer (2.22 Å) Lu(1)-O(2) bond length. There is one shorter (2.16 Å) and one longer (2.32 Å) Lu(1)-O(3) bond length. In the second Lu site, Lu(2) is bonded to three equivalent O(1) and three equivalent O(5) atoms to form edge-sharing LuO6 octahedra. All Lu(2)-O(1) bond lengths are 2.11 Å. All Lu(2)-O(5) bond lengths are 2.29 Å. There are two inequivalent B sites. In the first B site, B(1) is bonded in a trigonal planar geometry to one O(2), one O(4), and one O(5) atom. The B(1)-O(2) bond length is 1.39 Å. The B(1)-O(4) bond length is 1.40 Å. The B(1)-O(5) bond length is 1.40 Å. In the second B site, B(2) is bonded in a trigonal planar geometry to one O(1), one O(3), and one O(4) atom. The B(2)-O(1) bond length is 1.38 Å. The B(2)-O(3) bond length is 1.38 Å. The B(2)-O(4) bond length is 1.41 Å. There are five inequivalent O sites. In the first O site, O(3) is bonded in a 3-coordinate geometry to two equivalent Lu(1) and one B(2) atom. In the second O site, O(4) is bonded in a bent 120 degrees geometry to one B(1) and one B(2) atom. In the third O site, O(5) is bonded in a distorted T-shaped geometry to one Lu(1), one Lu(2), and one B(1) atom. In the fourth O site, O(1) is bonded in a distorted trigonal planar geometry to one Lu(1), one Lu(2), and one B(2) atom. In the fifth O site, O(2) is bonded in a distorted trigonal planar geometry to two equivalent Lu(1) and one B(1) atom.