LiAlGeO4 crystallizes in the trigonal R-3 space group. Li(1) is bonded to one O(1), one O(2), one O(3), and one O(4) atom to form LiO4 tetrahedra that share corners with four equivalent Al(1)O4 tetrahedra and corners with four equivalent Ge(1)O4 tetrahedra. Al(1) is bonded to one O(2), one O(3), and two equivalent O(1) atoms to form AlO4 tetrahedra that share corners with two equivalent Al(1)O4 tetrahedra, corners with two equivalent Ge(1)O4 tetrahedra, and corners with four equivalent Li(1)O4 tetrahedra. Ge(1) is bonded to one O(2), one O(3), and two equivalent O(4) atoms to form GeO4 tetrahedra that share corners with two equivalent Al(1)O4 tetrahedra, corners with two equivalent Ge(1)O4 tetrahedra, and corners with four equivalent Li(1)O4 tetrahedra. There are four inequivalent O sites. In the first O site, O(4) is bonded in a trigonal planar geometry to one Li(1) and two equivalent Ge(1) atoms. In the second O site, O(1) is bonded in a trigonal planar geometry to one Li(1) and two equivalent Al(1) atoms. In the third O site, O(2) is bonded in a trigonal planar geometry to one Li(1), one Al(1), and one Ge(1) atom. In the fourth O site, O(3) is bonded in a trigonal planar geometry to one Li(1), one Al(1), and one Ge(1) atom.
LiAlGeO4 crystallizes in the trigonal R-3 space group. Li(1) is bonded to one O(1), one O(2), one O(3), and one O(4) atom to form LiO4 tetrahedra that share corners with four equivalent Al(1)O4 tetrahedra and corners with four equivalent Ge(1)O4 tetrahedra. The Li(1)-O(1) bond length is 1.93 Å. The Li(1)-O(2) bond length is 2.00 Å. The Li(1)-O(3) bond length is 1.98 Å. The Li(1)-O(4) bond length is 2.06 Å. Al(1) is bonded to one O(2), one O(3), and two equivalent O(1) atoms to form AlO4 tetrahedra that share corners with two equivalent Al(1)O4 tetrahedra, corners with two equivalent Ge(1)O4 tetrahedra, and corners with four equivalent Li(1)O4 tetrahedra. The Al(1)-O(2) bond length is 1.81 Å. The Al(1)-O(3) bond length is 1.80 Å. There is one shorter (1.74 Å) and one longer (1.75 Å) Al(1)-O(1) bond length. Ge(1) is bonded to one O(2), one O(3), and two equivalent O(4) atoms to form GeO4 tetrahedra that share corners with two equivalent Al(1)O4 tetrahedra, corners with two equivalent Ge(1)O4 tetrahedra, and corners with four equivalent Li(1)O4 tetrahedra. The Ge(1)-O(2) bond length is 1.76 Å. The Ge(1)-O(3) bond length is 1.75 Å. There is one shorter (1.79 Å) and one longer (1.81 Å) Ge(1)-O(4) bond length. There are four inequivalent O sites. In the first O site, O(4) is bonded in a trigonal planar geometry to one Li(1) and two equivalent Ge(1) atoms. In the second O site, O(1) is bonded in a trigonal planar geometry to one Li(1) and two equivalent Al(1) atoms. In the third O site, O(2) is bonded in a trigonal planar geometry to one Li(1), one Al(1), and one Ge(1) atom. In the fourth O site, O(3) is bonded in a trigonal planar geometry to one Li(1), one Al(1), and one Ge(1) atom.