Lu2GeO5 crystallizes in the monoclinic P2_1/c space group. There are two inequivalent Lu sites. In the first Lu site, Lu(1) is bonded in a 7-coordinate geometry to one O(3), three equivalent O(1), and three equivalent O(2) atoms. In the second Lu site, Lu(2) is bonded to one O(2), two equivalent O(3), two equivalent O(4), and two equivalent O(5) atoms to form distorted LuO7 pentagonal bipyramids that share corners with four equivalent Ge(1)O4 tetrahedra, edges with three equivalent Lu(2)O7 pentagonal bipyramids, and  an edgeedge with one Ge(1)O4 tetrahedra. Ge(1) is bonded to one O(1), one O(3), one O(4), and one O(5) atom to form GeO4 tetrahedra that share corners with four equivalent Lu(2)O7 pentagonal bipyramids and  an edgeedge with one Lu(2)O7 pentagonal bipyramid. There are five inequivalent O sites. In the first O site, O(1) is bonded to three equivalent Lu(1) and one Ge(1) atom to form distorted OLu3Ge trigonal pyramids that share corners with two equivalent O(3)Lu3Ge tetrahedra, corners with five equivalent O(2)Lu4 tetrahedra, corners with four equivalent O(1)Lu3Ge trigonal pyramids,  an edgeedge with one O(3)Lu3Ge tetrahedra, edges with two equivalent O(2)Lu4 tetrahedra, and  an edgeedge with one O(1)Lu3Ge trigonal pyramid. In the second O site, O(2) is bonded to one Lu(2) and three equivalent Lu(1) atoms to form OLu4 tetrahedra that share  a cornercorner with one O(3)Lu3Ge tetrahedra, corners with four equivalent O(2)Lu4 tetrahedra, corners with five equivalent O(1)Lu3Ge trigonal pyramids,  an edgeedge with one O(2)Lu4 tetrahedra, edges with two equivalent O(3)Lu3Ge tetrahedra, and edges with two equivalent O(1)Lu3Ge trigonal pyramids. In the third O site, O(3) is bonded to one Lu(1), two equivalent Lu(2), and one Ge(1) atom to form distorted OLu3Ge tetrahedra that share  a cornercorner with one O(2)Lu4 tetrahedra, corners with two equivalent O(3)Lu3Ge tetrahedra, corners with two equivalent O(1)Lu3Ge trigonal pyramids, edges with two equivalent O(2)Lu4 tetrahedra, and  an edgeedge with one O(1)Lu3Ge trigonal pyramid. In the fourth O site, O(4) is bonded in a 3-coordinate geometry to two equivalent Lu(2) and one Ge(1) atom. In the fifth O site, O(5) is bonded in a distorted trigonal non-coplanar geometry to two equivalent Lu(2) and one Ge(1) atom.
Lu2GeO5 crystallizes in the monoclinic P2_1/c space group. There are two inequivalent Lu sites. In the first Lu site, Lu(1) is bonded in a 7-coordinate geometry to one O(3), three equivalent O(1), and three equivalent O(2) atoms. The Lu(1)-O(3) bond length is 2.27 Å. There are a spread of Lu(1)-O(1) bond distances ranging from 2.32-2.53 Å. There are a spread of Lu(1)-O(2) bond distances ranging from 2.18-2.30 Å. In the second Lu site, Lu(2) is bonded to one O(2), two equivalent O(3), two equivalent O(4), and two equivalent O(5) atoms to form distorted LuO7 pentagonal bipyramids that share corners with four equivalent Ge(1)O4 tetrahedra, edges with three equivalent Lu(2)O7 pentagonal bipyramids, and  an edgeedge with one Ge(1)O4 tetrahedra. The Lu(2)-O(2) bond length is 2.23 Å. There is one shorter (2.21 Å) and one longer (2.40 Å) Lu(2)-O(3) bond length. There is one shorter (2.30 Å) and one longer (2.31 Å) Lu(2)-O(4) bond length. There is one shorter (2.21 Å) and one longer (2.29 Å) Lu(2)-O(5) bond length. Ge(1) is bonded to one O(1), one O(3), one O(4), and one O(5) atom to form GeO4 tetrahedra that share corners with four equivalent Lu(2)O7 pentagonal bipyramids and  an edgeedge with one Lu(2)O7 pentagonal bipyramid. The Ge(1)-O(1) bond length is 1.80 Å. The Ge(1)-O(3) bond length is 1.82 Å. The Ge(1)-O(4) bond length is 1.74 Å. The Ge(1)-O(5) bond length is 1.75 Å. There are five inequivalent O sites. In the first O site, O(1) is bonded to three equivalent Lu(1) and one Ge(1) atom to form distorted OLu3Ge trigonal pyramids that share corners with two equivalent O(3)Lu3Ge tetrahedra, corners with five equivalent O(2)Lu4 tetrahedra, corners with four equivalent O(1)Lu3Ge trigonal pyramids,  an edgeedge with one O(3)Lu3Ge tetrahedra, edges with two equivalent O(2)Lu4 tetrahedra, and  an edgeedge with one O(1)Lu3Ge trigonal pyramid. In the second O site, O(2) is bonded to one Lu(2) and three equivalent Lu(1) atoms to form OLu4 tetrahedra that share  a cornercorner with one O(3)Lu3Ge tetrahedra, corners with four equivalent O(2)Lu4 tetrahedra, corners with five equivalent O(1)Lu3Ge trigonal pyramids,  an edgeedge with one O(2)Lu4 tetrahedra, edges with two equivalent O(3)Lu3Ge tetrahedra, and edges with two equivalent O(1)Lu3Ge trigonal pyramids. In the third O site, O(3) is bonded to one Lu(1), two equivalent Lu(2), and one Ge(1) atom to form distorted OLu3Ge tetrahedra that share  a cornercorner with one O(2)Lu4 tetrahedra, corners with two equivalent O(3)Lu3Ge tetrahedra, corners with two equivalent O(1)Lu3Ge trigonal pyramids, edges with two equivalent O(2)Lu4 tetrahedra, and  an edgeedge with one O(1)Lu3Ge trigonal pyramid. In the fourth O site, O(4) is bonded in a 3-coordinate geometry to two equivalent Lu(2) and one Ge(1) atom. In the fifth O site, O(5) is bonded in a distorted trigonal non-coplanar geometry to two equivalent Lu(2) and one Ge(1) atom.