La3GaGe5O16 crystallizes in the triclinic P-1 space group. There are three inequivalent La sites. In the first La site, La(1) is bonded in a 9-coordinate geometry to one O(1), one O(13), one O(15), one O(16), one O(3), one O(6), one O(9), and two equivalent O(14) atoms. In the second La site, La(2) is bonded in a 9-coordinate geometry to one O(11), one O(3), one O(4), two equivalent O(1), two equivalent O(10), and two equivalent O(5) atoms. In the third La site, La(3) is bonded in a 9-coordinate geometry to one O(2), one O(8), one O(9), two equivalent O(12), two equivalent O(6), and two equivalent O(7) atoms. Ga(1) is bonded to one O(11), one O(14), one O(2), one O(3), and one O(4) atom to form distorted GaO5 tetrahedra that share  a cornercorner with one Ge(2)O6 octahedra,  a cornercorner with one Ge(5)O4 tetrahedra,  a cornercorner with one Ge(1)O5 trigonal bipyramid,  a cornercorner with one Ge(3)O5 trigonal bipyramid, and  an edgeedge with one Ge(2)O6 octahedra. The corner-sharing octahedral tilt angles are 62°. There are five inequivalent Ge sites. In the first Ge site, Ge(1) is bonded to one O(14), one O(6), one O(9), and two equivalent O(12) atoms to form GeO5 trigonal bipyramids that share  a cornercorner with one Ga(1)O5 tetrahedra,  a cornercorner with one Ge(4)O4 tetrahedra, and  an edgeedge with one Ge(1)O5 trigonal bipyramid. In the second Ge site, Ge(2) is bonded to one O(11), one O(13), one O(15), one O(2), one O(4), and one O(8) atom to form GeO6 octahedra that share  a cornercorner with one Ga(1)O5 tetrahedra, corners with two equivalent Ge(4)O4 tetrahedra, corners with two equivalent Ge(5)O4 tetrahedra, and  an edgeedge with one Ga(1)O5 tetrahedra. In the third Ge site, Ge(3) is bonded to one O(1), one O(16), one O(3), and two equivalent O(10) atoms to form GeO5 trigonal bipyramids that share  a cornercorner with one Ga(1)O5 tetrahedra,  a cornercorner with one Ge(5)O4 tetrahedra, and  an edgeedge with one Ge(3)O5 trigonal bipyramid. In the fourth Ge site, Ge(4) is bonded to one O(15), one O(7), one O(8), and one O(9) atom to form GeO4 tetrahedra that share corners with two equivalent Ge(2)O6 octahedra and  a cornercorner with one Ge(1)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 58-61°. In the fifth Ge site, Ge(5) is bonded to one O(11), one O(13), one O(16), and one O(5) atom to form GeO4 tetrahedra that share corners with two equivalent Ge(2)O6 octahedra,  a cornercorner with one Ga(1)O5 tetrahedra, and  a cornercorner with one Ge(3)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 57-60°. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a distorted single-bond geometry to one La(1), two equivalent La(2), and one Ge(3) atom. In the second O site, O(2) is bonded in a distorted trigonal planar geometry to one La(3), one Ga(1), and one Ge(2) atom. In the third O site, O(3) is bonded in a 4-coordinate geometry to one La(1), one La(2), one Ga(1), and one Ge(3) atom. In the fourth O site, O(4) is bonded in a distorted trigonal planar geometry to one La(2), one Ga(1), and one Ge(2) atom. In the fifth O site, O(5) is bonded in a distorted trigonal planar geometry to two equivalent La(2) and one Ge(5) atom. In the sixth O site, O(6) is bonded in a 4-coordinate geometry to one La(1), two equivalent La(3), and one Ge(1) atom. In the seventh O site, O(7) is bonded in a distorted trigonal planar geometry to two equivalent La(3) and one Ge(4) atom. In the eighth O site, O(8) is bonded in a distorted bent 120 degrees geometry to one La(3), one Ge(2), and one Ge(4) atom. In the ninth O site, O(9) is bonded in a distorted bent 120 degrees geometry to one La(1), one La(3), one Ge(1), and one Ge(4) atom. In the tenth O site, O(10) is bonded in a 4-coordinate geometry to two equivalent La(2) and two equivalent Ge(3) atoms. In the eleventh O site, O(11) is bonded in a 4-coordinate geometry to one La(2), one Ga(1), one Ge(2), and one Ge(5) atom. In the twelfth O site, O(12) is bonded in a 4-coordinate geometry to two equivalent La(3) and two equivalent Ge(1) atoms. In the thirteenth O site, O(13) is bonded in a distorted trigonal planar geometry to one La(1), one Ge(2), and one Ge(5) atom. In the fourteenth O site, O(14) is bonded in a distorted trigonal planar geometry to two equivalent La(1), one Ga(1), and one Ge(1) atom. In the fifteenth O site, O(15) is bonded in a distorted trigonal planar geometry to one La(1), one Ge(2), and one Ge(4) atom. In the sixteenth O site, O(16) is bonded in a distorted trigonal planar geometry to one La(1), one Ge(3), and one Ge(5) atom.
La3GaGe5O16 crystallizes in the triclinic P-1 space group. There are three inequivalent La sites. In the first La site, La(1) is bonded in a 9-coordinate geometry to one O(1), one O(13), one O(15), one O(16), one O(3), one O(6), one O(9), and two equivalent O(14) atoms. The La(1)-O(1) bond length is 2.68 Å. The La(1)-O(13) bond length is 2.46 Å. The La(1)-O(15) bond length is 2.51 Å. The La(1)-O(16) bond length is 2.52 Å. The La(1)-O(3) bond length is 2.52 Å. The La(1)-O(6) bond length is 2.59 Å. The La(1)-O(9) bond length is 2.88 Å. There is one shorter (2.44 Å) and one longer (3.24 Å) La(1)-O(14) bond length. In the second La site, La(2) is bonded in a 9-coordinate geometry to one O(11), one O(3), one O(4), two equivalent O(1), two equivalent O(10), and two equivalent O(5) atoms. The La(2)-O(11) bond length is 2.59 Å. The La(2)-O(3) bond length is 2.93 Å. The La(2)-O(4) bond length is 2.50 Å. There is one shorter (2.68 Å) and one longer (3.04 Å) La(2)-O(1) bond length. There is one shorter (2.58 Å) and one longer (2.74 Å) La(2)-O(10) bond length. There is one shorter (2.46 Å) and one longer (2.49 Å) La(2)-O(5) bond length. In the third La site, La(3) is bonded in a 9-coordinate geometry to one O(2), one O(8), one O(9), two equivalent O(12), two equivalent O(6), and two equivalent O(7) atoms. The La(3)-O(2) bond length is 2.50 Å. The La(3)-O(8) bond length is 2.64 Å. The La(3)-O(9) bond length is 2.85 Å. There is one shorter (2.54 Å) and one longer (2.77 Å) La(3)-O(12) bond length. There is one shorter (2.70 Å) and one longer (2.85 Å) La(3)-O(6) bond length. There is one shorter (2.41 Å) and one longer (2.45 Å) La(3)-O(7) bond length. Ga(1) is bonded to one O(11), one O(14), one O(2), one O(3), and one O(4) atom to form distorted GaO5 tetrahedra that share  a cornercorner with one Ge(2)O6 octahedra,  a cornercorner with one Ge(5)O4 tetrahedra,  a cornercorner with one Ge(1)O5 trigonal bipyramid,  a cornercorner with one Ge(3)O5 trigonal bipyramid, and  an edgeedge with one Ge(2)O6 octahedra. The corner-sharing octahedral tilt angles are 62°. The Ga(1)-O(11) bond length is 2.56 Å. The Ga(1)-O(14) bond length is 1.91 Å. The Ga(1)-O(2) bond length is 1.86 Å. The Ga(1)-O(3) bond length is 1.91 Å. The Ga(1)-O(4) bond length is 1.85 Å. There are five inequivalent Ge sites. In the first Ge site, Ge(1) is bonded to one O(14), one O(6), one O(9), and two equivalent O(12) atoms to form GeO5 trigonal bipyramids that share  a cornercorner with one Ga(1)O5 tetrahedra,  a cornercorner with one Ge(4)O4 tetrahedra, and  an edgeedge with one Ge(1)O5 trigonal bipyramid. The Ge(1)-O(14) bond length is 1.86 Å. The Ge(1)-O(6) bond length is 1.78 Å. The Ge(1)-O(9) bond length is 1.87 Å. There is one shorter (1.83 Å) and one longer (2.04 Å) Ge(1)-O(12) bond length. In the second Ge site, Ge(2) is bonded to one O(11), one O(13), one O(15), one O(2), one O(4), and one O(8) atom to form GeO6 octahedra that share  a cornercorner with one Ga(1)O5 tetrahedra, corners with two equivalent Ge(4)O4 tetrahedra, corners with two equivalent Ge(5)O4 tetrahedra, and  an edgeedge with one Ga(1)O5 tetrahedra. The Ge(2)-O(11) bond length is 1.98 Å. The Ge(2)-O(13) bond length is 1.91 Å. The Ge(2)-O(15) bond length is 1.95 Å. The Ge(2)-O(2) bond length is 1.87 Å. The Ge(2)-O(4) bond length is 1.90 Å. The Ge(2)-O(8) bond length is 1.94 Å. In the third Ge site, Ge(3) is bonded to one O(1), one O(16), one O(3), and two equivalent O(10) atoms to form GeO5 trigonal bipyramids that share  a cornercorner with one Ga(1)O5 tetrahedra,  a cornercorner with one Ge(5)O4 tetrahedra, and  an edgeedge with one Ge(3)O5 trigonal bipyramid. The Ge(3)-O(1) bond length is 1.77 Å. The Ge(3)-O(16) bond length is 1.89 Å. The Ge(3)-O(3) bond length is 1.82 Å. There is one shorter (1.85 Å) and one longer (1.98 Å) Ge(3)-O(10) bond length. In the fourth Ge site, Ge(4) is bonded to one O(15), one O(7), one O(8), and one O(9) atom to form GeO4 tetrahedra that share corners with two equivalent Ge(2)O6 octahedra and  a cornercorner with one Ge(1)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 58-61°. The Ge(4)-O(15) bond length is 1.81 Å. The Ge(4)-O(7) bond length is 1.75 Å. The Ge(4)-O(8) bond length is 1.78 Å. The Ge(4)-O(9) bond length is 1.81 Å. In the fifth Ge site, Ge(5) is bonded to one O(11), one O(13), one O(16), and one O(5) atom to form GeO4 tetrahedra that share corners with two equivalent Ge(2)O6 octahedra,  a cornercorner with one Ga(1)O5 tetrahedra, and  a cornercorner with one Ge(3)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 57-60°. The Ge(5)-O(11) bond length is 1.80 Å. The Ge(5)-O(13) bond length is 1.81 Å. The Ge(5)-O(16) bond length is 1.78 Å. The Ge(5)-O(5) bond length is 1.75 Å. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a distorted single-bond geometry to one La(1), two equivalent La(2), and one Ge(3) atom. In the second O site, O(2) is bonded in a distorted trigonal planar geometry to one La(3), one Ga(1), and one Ge(2) atom. In the third O site, O(3) is bonded in a 4-coordinate geometry to one La(1), one La(2), one Ga(1), and one Ge(3) atom. In the fourth O site, O(4) is bonded in a distorted trigonal planar geometry to one La(2), one Ga(1), and one Ge(2) atom. In the fifth O site, O(5) is bonded in a distorted trigonal planar geometry to two equivalent La(2) and one Ge(5) atom. In the sixth O site, O(6) is bonded in a 4-coordinate geometry to one La(1), two equivalent La(3), and one Ge(1) atom. In the seventh O site, O(7) is bonded in a distorted trigonal planar geometry to two equivalent La(3) and one Ge(4) atom. In the eighth O site, O(8) is bonded in a distorted bent 120 degrees geometry to one La(3), one Ge(2), and one Ge(4) atom. In the ninth O site, O(9) is bonded in a distorted bent 120 degrees geometry to one La(1), one La(3), one Ge(1), and one Ge(4) atom. In the tenth O site, O(10) is bonded in a 4-coordinate geometry to two equivalent La(2) and two equivalent Ge(3) atoms. In the eleventh O site, O(11) is bonded in a 4-coordinate geometry to one La(2), one Ga(1), one Ge(2), and one Ge(5) atom. In the twelfth O site, O(12) is bonded in a 4-coordinate geometry to two equivalent La(3) and two equivalent Ge(1) atoms. In the thirteenth O site, O(13) is bonded in a distorted trigonal planar geometry to one La(1), one Ge(2), and one Ge(5) atom. In the fourteenth O site, O(14) is bonded in a distorted trigonal planar geometry to two equivalent La(1), one Ga(1), and one Ge(1) atom. In the fifteenth O site, O(15) is bonded in a distorted trigonal planar geometry to one La(1), one Ge(2), and one Ge(4) atom. In the sixteenth O site, O(16) is bonded in a distorted trigonal planar geometry to one La(1), one Ge(3), and one Ge(5) atom.