NaLuGeO4 is Hausmannite-derived structured and crystallizes in the orthorhombic Pnma space group. Na(1) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(3) atoms to form distorted NaO6 octahedra that share corners with four equivalent Lu(1)O6 octahedra, corners with two equivalent Ge(1)O4 tetrahedra, edges with two equivalent Na(1)O6 octahedra, edges with two equivalent Lu(1)O6 octahedra, and edges with two equivalent Ge(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 61-66°. Lu(1) is bonded to one O(1), one O(3), and four equivalent O(2) atoms to form LuO6 octahedra that share corners with four equivalent Na(1)O6 octahedra, corners with four equivalent Lu(1)O6 octahedra, corners with four equivalent Ge(1)O4 tetrahedra, edges with two equivalent Na(1)O6 octahedra, and  an edgeedge with one Ge(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 46-66°. Ge(1) is bonded to one O(1), one O(3), and two equivalent O(2) atoms to form GeO4 tetrahedra that share corners with two equivalent Na(1)O6 octahedra, corners with four equivalent Lu(1)O6 octahedra,  an edgeedge with one Lu(1)O6 octahedra, and edges with two equivalent Na(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 43-64°. There are three inequivalent O sites. In the first O site, O(1) is bonded in a distorted rectangular see-saw-like geometry to two equivalent Na(1), one Lu(1), and one Ge(1) atom. In the second O site, O(2) is bonded in a rectangular see-saw-like geometry to one Na(1), two equivalent Lu(1), and one Ge(1) atom. In the third O site, O(3) is bonded to two equivalent Na(1), one Lu(1), and one Ge(1) atom to form distorted corner-sharing ONa2LuGe tetrahedra.
NaLuGeO4 is Hausmannite-derived structured and crystallizes in the orthorhombic Pnma space group. Na(1) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(3) atoms to form distorted NaO6 octahedra that share corners with four equivalent Lu(1)O6 octahedra, corners with two equivalent Ge(1)O4 tetrahedra, edges with two equivalent Na(1)O6 octahedra, edges with two equivalent Lu(1)O6 octahedra, and edges with two equivalent Ge(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 61-66°. Both Na(1)-O(1) bond lengths are 2.44 Å. Both Na(1)-O(2) bond lengths are 2.54 Å. Both Na(1)-O(3) bond lengths are 2.36 Å. Lu(1) is bonded to one O(1), one O(3), and four equivalent O(2) atoms to form LuO6 octahedra that share corners with four equivalent Na(1)O6 octahedra, corners with four equivalent Lu(1)O6 octahedra, corners with four equivalent Ge(1)O4 tetrahedra, edges with two equivalent Na(1)O6 octahedra, and  an edgeedge with one Ge(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 46-66°. The Lu(1)-O(1) bond length is 2.17 Å. The Lu(1)-O(3) bond length is 2.21 Å. There are two shorter (2.23 Å) and two longer (2.31 Å) Lu(1)-O(2) bond lengths. Ge(1) is bonded to one O(1), one O(3), and two equivalent O(2) atoms to form GeO4 tetrahedra that share corners with two equivalent Na(1)O6 octahedra, corners with four equivalent Lu(1)O6 octahedra,  an edgeedge with one Lu(1)O6 octahedra, and edges with two equivalent Na(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 43-64°. The Ge(1)-O(1) bond length is 1.76 Å. The Ge(1)-O(3) bond length is 1.74 Å. Both Ge(1)-O(2) bond lengths are 1.81 Å. There are three inequivalent O sites. In the first O site, O(1) is bonded in a distorted rectangular see-saw-like geometry to two equivalent Na(1), one Lu(1), and one Ge(1) atom. In the second O site, O(2) is bonded in a rectangular see-saw-like geometry to one Na(1), two equivalent Lu(1), and one Ge(1) atom. In the third O site, O(3) is bonded to two equivalent Na(1), one Lu(1), and one Ge(1) atom to form distorted corner-sharing ONa2LuGe tetrahedra.