Lu2GeO5 crystallizes in the orthorhombic Pnma space group. There are two inequivalent Lu sites. In the first Lu site, Lu(1) is bonded to one O(1), one O(3), one O(5), two equivalent O(2), and two equivalent O(4) atoms to form distorted LuO7 hexagonal pyramids that share corners with two equivalent Lu(2)O7 hexagonal pyramids, corners with three equivalent Ge(1)O5 trigonal bipyramids, edges with two equivalent Lu(1)O7 hexagonal pyramids, edges with three equivalent Lu(2)O7 hexagonal pyramids, and edges with two equivalent Ge(1)O5 trigonal bipyramids. In the second Lu site, Lu(2) is bonded to one O(3), one O(4), two equivalent O(5), and three equivalent O(1) atoms to form distorted LuO7 hexagonal pyramids that share corners with two equivalent Lu(1)O7 hexagonal pyramids,  a cornercorner with one Ge(1)O5 trigonal bipyramid, edges with three equivalent Lu(1)O7 hexagonal pyramids, edges with four equivalent Lu(2)O7 hexagonal pyramids, and edges with two equivalent Ge(1)O5 trigonal bipyramids. Ge(1) is bonded to one O(2), one O(4), one O(5), and two equivalent O(3) atoms to form distorted GeO5 trigonal bipyramids that share  a cornercorner with one Lu(2)O7 hexagonal pyramid, corners with three equivalent Lu(1)O7 hexagonal pyramids, corners with two equivalent Ge(1)O5 trigonal bipyramids, edges with two equivalent Lu(1)O7 hexagonal pyramids, and edges with two equivalent Lu(2)O7 hexagonal pyramids. There are five inequivalent O sites. In the first O site, O(1) is bonded to one Lu(1) and three equivalent Lu(2) atoms to form OLu4 tetrahedra that share corners with two equivalent O(3)Lu2Ge2 tetrahedra, corners with two equivalent O(1)Lu4 tetrahedra, corners with five equivalent O(4)Lu3Ge tetrahedra, corners with five equivalent O(5)Lu3Ge tetrahedra,  an edgeedge with one O(3)Lu2Ge2 tetrahedra,  an edgeedge with one O(5)Lu3Ge tetrahedra, and edges with two equivalent O(1)Lu4 tetrahedra. In the second O site, O(2) is bonded in a distorted trigonal planar geometry to two equivalent Lu(1) and one Ge(1) atom. In the third O site, O(3) is bonded to one Lu(1), one Lu(2), and two equivalent Ge(1) atoms to form distorted OLu2Ge2 tetrahedra that share  a cornercorner with one O(4)Lu3Ge tetrahedra,  a cornercorner with one O(5)Lu3Ge tetrahedra, corners with two equivalent O(3)Lu2Ge2 tetrahedra, corners with two equivalent O(1)Lu4 tetrahedra,  an edgeedge with one O(1)Lu4 tetrahedra, edges with two equivalent O(4)Lu3Ge tetrahedra, and edges with two equivalent O(5)Lu3Ge tetrahedra. In the fourth O site, O(4) is bonded to one Lu(2), two equivalent Lu(1), and one Ge(1) atom to form OLu3Ge tetrahedra that share  a cornercorner with one O(3)Lu2Ge2 tetrahedra,  a cornercorner with one O(5)Lu3Ge tetrahedra, corners with two equivalent O(4)Lu3Ge tetrahedra, corners with five equivalent O(1)Lu4 tetrahedra, edges with two equivalent O(3)Lu2Ge2 tetrahedra, and edges with two equivalent O(5)Lu3Ge tetrahedra. In the fifth O site, O(5) is bonded to one Lu(1), two equivalent Lu(2), and one Ge(1) atom to form OLu3Ge tetrahedra that share  a cornercorner with one O(3)Lu2Ge2 tetrahedra,  a cornercorner with one O(4)Lu3Ge tetrahedra, corners with two equivalent O(5)Lu3Ge tetrahedra, corners with five equivalent O(1)Lu4 tetrahedra,  an edgeedge with one O(1)Lu4 tetrahedra, edges with two equivalent O(3)Lu2Ge2 tetrahedra, and edges with two equivalent O(4)Lu3Ge tetrahedra.
Lu2GeO5 crystallizes in the orthorhombic Pnma space group. There are two inequivalent Lu sites. In the first Lu site, Lu(1) is bonded to one O(1), one O(3), one O(5), two equivalent O(2), and two equivalent O(4) atoms to form distorted LuO7 hexagonal pyramids that share corners with two equivalent Lu(2)O7 hexagonal pyramids, corners with three equivalent Ge(1)O5 trigonal bipyramids, edges with two equivalent Lu(1)O7 hexagonal pyramids, edges with three equivalent Lu(2)O7 hexagonal pyramids, and edges with two equivalent Ge(1)O5 trigonal bipyramids. The Lu(1)-O(1) bond length is 2.23 Å. The Lu(1)-O(3) bond length is 2.35 Å. The Lu(1)-O(5) bond length is 2.27 Å. Both Lu(1)-O(2) bond lengths are 2.31 Å. Both Lu(1)-O(4) bond lengths are 2.24 Å. In the second Lu site, Lu(2) is bonded to one O(3), one O(4), two equivalent O(5), and three equivalent O(1) atoms to form distorted LuO7 hexagonal pyramids that share corners with two equivalent Lu(1)O7 hexagonal pyramids,  a cornercorner with one Ge(1)O5 trigonal bipyramid, edges with three equivalent Lu(1)O7 hexagonal pyramids, edges with four equivalent Lu(2)O7 hexagonal pyramids, and edges with two equivalent Ge(1)O5 trigonal bipyramids. The Lu(2)-O(3) bond length is 2.29 Å. The Lu(2)-O(4) bond length is 2.28 Å. Both Lu(2)-O(5) bond lengths are 2.32 Å. There are two shorter (2.27 Å) and one longer (2.32 Å) Lu(2)-O(1) bond length. Ge(1) is bonded to one O(2), one O(4), one O(5), and two equivalent O(3) atoms to form distorted GeO5 trigonal bipyramids that share  a cornercorner with one Lu(2)O7 hexagonal pyramid, corners with three equivalent Lu(1)O7 hexagonal pyramids, corners with two equivalent Ge(1)O5 trigonal bipyramids, edges with two equivalent Lu(1)O7 hexagonal pyramids, and edges with two equivalent Lu(2)O7 hexagonal pyramids. The Ge(1)-O(2) bond length is 1.76 Å. The Ge(1)-O(4) bond length is 1.85 Å. The Ge(1)-O(5) bond length is 1.83 Å. Both Ge(1)-O(3) bond lengths are 1.92 Å. There are five inequivalent O sites. In the first O site, O(1) is bonded to one Lu(1) and three equivalent Lu(2) atoms to form OLu4 tetrahedra that share corners with two equivalent O(3)Lu2Ge2 tetrahedra, corners with two equivalent O(1)Lu4 tetrahedra, corners with five equivalent O(4)Lu3Ge tetrahedra, corners with five equivalent O(5)Lu3Ge tetrahedra,  an edgeedge with one O(3)Lu2Ge2 tetrahedra,  an edgeedge with one O(5)Lu3Ge tetrahedra, and edges with two equivalent O(1)Lu4 tetrahedra. In the second O site, O(2) is bonded in a distorted trigonal planar geometry to two equivalent Lu(1) and one Ge(1) atom. In the third O site, O(3) is bonded to one Lu(1), one Lu(2), and two equivalent Ge(1) atoms to form distorted OLu2Ge2 tetrahedra that share  a cornercorner with one O(4)Lu3Ge tetrahedra,  a cornercorner with one O(5)Lu3Ge tetrahedra, corners with two equivalent O(3)Lu2Ge2 tetrahedra, corners with two equivalent O(1)Lu4 tetrahedra,  an edgeedge with one O(1)Lu4 tetrahedra, edges with two equivalent O(4)Lu3Ge tetrahedra, and edges with two equivalent O(5)Lu3Ge tetrahedra. In the fourth O site, O(4) is bonded to one Lu(2), two equivalent Lu(1), and one Ge(1) atom to form OLu3Ge tetrahedra that share  a cornercorner with one O(3)Lu2Ge2 tetrahedra,  a cornercorner with one O(5)Lu3Ge tetrahedra, corners with two equivalent O(4)Lu3Ge tetrahedra, corners with five equivalent O(1)Lu4 tetrahedra, edges with two equivalent O(3)Lu2Ge2 tetrahedra, and edges with two equivalent O(5)Lu3Ge tetrahedra. In the fifth O site, O(5) is bonded to one Lu(1), two equivalent Lu(2), and one Ge(1) atom to form OLu3Ge tetrahedra that share  a cornercorner with one O(3)Lu2Ge2 tetrahedra,  a cornercorner with one O(4)Lu3Ge tetrahedra, corners with two equivalent O(5)Lu3Ge tetrahedra, corners with five equivalent O(1)Lu4 tetrahedra,  an edgeedge with one O(1)Lu4 tetrahedra, edges with two equivalent O(3)Lu2Ge2 tetrahedra, and edges with two equivalent O(4)Lu3Ge tetrahedra.