LiAlGeO4 crystallizes in the trigonal R3 space group. There are two inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(1), one O(3), one O(6), and one O(8) atom to form LiO4 tetrahedra that share corners with two equivalent Al(1)O4 tetrahedra, corners with two equivalent Al(2)O4 tetrahedra, corners with two equivalent Ge(1)O4 tetrahedra, and corners with two equivalent Ge(2)O4 tetrahedra. In the second Li site, Li(2) is bonded to one O(2), one O(4), one O(5), and one O(7) atom to form LiO4 tetrahedra that share corners with two equivalent Al(1)O4 tetrahedra, corners with two equivalent Al(2)O4 tetrahedra, corners with two equivalent Ge(1)O4 tetrahedra, and corners with two equivalent Ge(2)O4 tetrahedra. There are two inequivalent Al sites. In the first Al site, Al(1) is bonded to one O(1), one O(4), one O(7), and one O(8) atom to form AlO4 tetrahedra that share corners with two equivalent Li(1)O4 tetrahedra, corners with two equivalent Li(2)O4 tetrahedra, corners with two equivalent Ge(1)O4 tetrahedra, and corners with two equivalent Ge(2)O4 tetrahedra. In the second Al site, Al(2) is bonded to one O(2), one O(3), one O(5), and one O(6) atom to form AlO4 tetrahedra that share corners with two equivalent Li(1)O4 tetrahedra, corners with two equivalent Li(2)O4 tetrahedra, corners with two equivalent Ge(1)O4 tetrahedra, and corners with two equivalent Ge(2)O4 tetrahedra. There are two inequivalent Ge sites. In the first Ge site, Ge(1) is bonded to one O(2), one O(3), one O(7), and one O(8) atom to form GeO4 tetrahedra that share corners with two equivalent Li(1)O4 tetrahedra, corners with two equivalent Li(2)O4 tetrahedra, corners with two equivalent Al(1)O4 tetrahedra, and corners with two equivalent Al(2)O4 tetrahedra. In the second Ge site, Ge(2) is bonded to one O(1), one O(4), one O(5), and one O(6) atom to form GeO4 tetrahedra that share corners with two equivalent Li(1)O4 tetrahedra, corners with two equivalent Li(2)O4 tetrahedra, corners with two equivalent Al(1)O4 tetrahedra, and corners with two equivalent Al(2)O4 tetrahedra. There are eight inequivalent O sites. In the first O site, O(5) is bonded in a trigonal planar geometry to one Li(2), one Al(2), and one Ge(2) atom. In the second O site, O(6) is bonded in a trigonal planar geometry to one Li(1), one Al(2), and one Ge(2) atom. In the third O site, O(7) is bonded in a trigonal planar geometry to one Li(2), one Al(1), and one Ge(1) atom. In the fourth O site, O(8) is bonded in a trigonal planar geometry to one Li(1), one Al(1), and one Ge(1) atom. In the fifth O site, O(1) is bonded in a trigonal planar geometry to one Li(1), one Al(1), and one Ge(2) atom. In the sixth O site, O(2) is bonded in a trigonal planar geometry to one Li(2), one Al(2), and one Ge(1) atom. In the seventh O site, O(3) is bonded in a trigonal planar geometry to one Li(1), one Al(2), and one Ge(1) atom. In the eighth O site, O(4) is bonded in a trigonal planar geometry to one Li(2), one Al(1), and one Ge(2) atom.
LiAlGeO4 crystallizes in the trigonal R3 space group. There are two inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(1), one O(3), one O(6), and one O(8) atom to form LiO4 tetrahedra that share corners with two equivalent Al(1)O4 tetrahedra, corners with two equivalent Al(2)O4 tetrahedra, corners with two equivalent Ge(1)O4 tetrahedra, and corners with two equivalent Ge(2)O4 tetrahedra. The Li(1)-O(1) bond length is 1.92 Å. The Li(1)-O(3) bond length is 1.97 Å. The Li(1)-O(6) bond length is 1.95 Å. The Li(1)-O(8) bond length is 1.96 Å. In the second Li site, Li(2) is bonded to one O(2), one O(4), one O(5), and one O(7) atom to form LiO4 tetrahedra that share corners with two equivalent Al(1)O4 tetrahedra, corners with two equivalent Al(2)O4 tetrahedra, corners with two equivalent Ge(1)O4 tetrahedra, and corners with two equivalent Ge(2)O4 tetrahedra. The Li(2)-O(2) bond length is 1.92 Å. The Li(2)-O(4) bond length is 1.97 Å. The Li(2)-O(5) bond length is 1.94 Å. The Li(2)-O(7) bond length is 1.97 Å. There are two inequivalent Al sites. In the first Al site, Al(1) is bonded to one O(1), one O(4), one O(7), and one O(8) atom to form AlO4 tetrahedra that share corners with two equivalent Li(1)O4 tetrahedra, corners with two equivalent Li(2)O4 tetrahedra, corners with two equivalent Ge(1)O4 tetrahedra, and corners with two equivalent Ge(2)O4 tetrahedra. The Al(1)-O(1) bond length is 1.76 Å. The Al(1)-O(4) bond length is 1.77 Å. The Al(1)-O(7) bond length is 1.76 Å. The Al(1)-O(8) bond length is 1.75 Å. In the second Al site, Al(2) is bonded to one O(2), one O(3), one O(5), and one O(6) atom to form AlO4 tetrahedra that share corners with two equivalent Li(1)O4 tetrahedra, corners with two equivalent Li(2)O4 tetrahedra, corners with two equivalent Ge(1)O4 tetrahedra, and corners with two equivalent Ge(2)O4 tetrahedra. The Al(2)-O(2) bond length is 1.76 Å. The Al(2)-O(3) bond length is 1.76 Å. The Al(2)-O(5) bond length is 1.75 Å. The Al(2)-O(6) bond length is 1.76 Å. There are two inequivalent Ge sites. In the first Ge site, Ge(1) is bonded to one O(2), one O(3), one O(7), and one O(8) atom to form GeO4 tetrahedra that share corners with two equivalent Li(1)O4 tetrahedra, corners with two equivalent Li(2)O4 tetrahedra, corners with two equivalent Al(1)O4 tetrahedra, and corners with two equivalent Al(2)O4 tetrahedra. The Ge(1)-O(2) bond length is 1.75 Å. The Ge(1)-O(3) bond length is 1.76 Å. The Ge(1)-O(7) bond length is 1.75 Å. The Ge(1)-O(8) bond length is 1.75 Å. In the second Ge site, Ge(2) is bonded to one O(1), one O(4), one O(5), and one O(6) atom to form GeO4 tetrahedra that share corners with two equivalent Li(1)O4 tetrahedra, corners with two equivalent Li(2)O4 tetrahedra, corners with two equivalent Al(1)O4 tetrahedra, and corners with two equivalent Al(2)O4 tetrahedra. The Ge(2)-O(1) bond length is 1.75 Å. The Ge(2)-O(4) bond length is 1.76 Å. The Ge(2)-O(5) bond length is 1.76 Å. The Ge(2)-O(6) bond length is 1.74 Å. There are eight inequivalent O sites. In the first O site, O(5) is bonded in a trigonal planar geometry to one Li(2), one Al(2), and one Ge(2) atom. In the second O site, O(6) is bonded in a trigonal planar geometry to one Li(1), one Al(2), and one Ge(2) atom. In the third O site, O(7) is bonded in a trigonal planar geometry to one Li(2), one Al(1), and one Ge(1) atom. In the fourth O site, O(8) is bonded in a trigonal planar geometry to one Li(1), one Al(1), and one Ge(1) atom. In the fifth O site, O(1) is bonded in a trigonal planar geometry to one Li(1), one Al(1), and one Ge(2) atom. In the sixth O site, O(2) is bonded in a trigonal planar geometry to one Li(2), one Al(2), and one Ge(1) atom. In the seventh O site, O(3) is bonded in a trigonal planar geometry to one Li(1), one Al(2), and one Ge(1) atom. In the eighth O site, O(4) is bonded in a trigonal planar geometry to one Li(2), one Al(1), and one Ge(2) atom.