La3GaO6 crystallizes in the orthorhombic Cmc2_1 space group. There are two inequivalent La sites. In the first La site, La(1) is bonded to one O(4), two equivalent O(1), two equivalent O(2), and two equivalent O(3) atoms to form distorted LaO7 pentagonal bipyramids that share  a cornercorner with one La(2)O7 hexagonal pyramid, corners with four equivalent La(1)O7 pentagonal bipyramids, corners with three equivalent Ga(1)O4 tetrahedra, edges with three equivalent La(2)O7 hexagonal pyramids, edges with two equivalent La(1)O7 pentagonal bipyramids,  an edgeedge with one Ga(1)O4 tetrahedra, and  a faceface with one La(1)O7 pentagonal bipyramid. In the second La site, La(2) is bonded to one O(4), two equivalent O(2), and four equivalent O(1) atoms to form distorted LaO7 hexagonal pyramids that share corners with two equivalent La(1)O7 pentagonal bipyramids,  a cornercorner with one Ga(1)O4 tetrahedra, edges with two equivalent La(2)O7 hexagonal pyramids, edges with six equivalent La(1)O7 pentagonal bipyramids, and  an edgeedge with one Ga(1)O4 tetrahedra. Ga(1) is bonded to one O(3), one O(4), and two equivalent O(2) atoms to form GaO4 tetrahedra that share  a cornercorner with one La(2)O7 hexagonal pyramid, corners with six equivalent La(1)O7 pentagonal bipyramids,  an edgeedge with one La(2)O7 hexagonal pyramid, and edges with two equivalent La(1)O7 pentagonal bipyramids. There are four inequivalent O sites. In the first O site, O(1) is bonded to two equivalent La(1) and two equivalent La(2) atoms to form OLa4 tetrahedra that share corners with two equivalent O(1)La4 tetrahedra, corners with six equivalent O(2)La3Ga trigonal pyramids, edges with three equivalent O(1)La4 tetrahedra, and  an edgeedge with one O(2)La3Ga trigonal pyramid. In the second O site, O(2) is bonded to one La(2), two equivalent La(1), and one Ga(1) atom to form distorted OLa3Ga trigonal pyramids that share corners with six equivalent O(1)La4 tetrahedra, corners with two equivalent O(2)La3Ga trigonal pyramids,  an edgeedge with one O(1)La4 tetrahedra, and  an edgeedge with one O(2)La3Ga trigonal pyramid. In the third O site, O(3) is bonded in a 5-coordinate geometry to four equivalent La(1) and one Ga(1) atom. In the fourth O site, O(4) is bonded in a distorted rectangular see-saw-like geometry to one La(2), two equivalent La(1), and one Ga(1) atom.
La3GaO6 crystallizes in the orthorhombic Cmc2_1 space group. There are two inequivalent La sites. In the first La site, La(1) is bonded to one O(4), two equivalent O(1), two equivalent O(2), and two equivalent O(3) atoms to form distorted LaO7 pentagonal bipyramids that share  a cornercorner with one La(2)O7 hexagonal pyramid, corners with four equivalent La(1)O7 pentagonal bipyramids, corners with three equivalent Ga(1)O4 tetrahedra, edges with three equivalent La(2)O7 hexagonal pyramids, edges with two equivalent La(1)O7 pentagonal bipyramids,  an edgeedge with one Ga(1)O4 tetrahedra, and  a faceface with one La(1)O7 pentagonal bipyramid. The La(1)-O(4) bond length is 2.53 Å. There is one shorter (2.34 Å) and one longer (2.37 Å) La(1)-O(1) bond length. There is one shorter (2.42 Å) and one longer (2.52 Å) La(1)-O(2) bond length. There is one shorter (2.72 Å) and one longer (2.74 Å) La(1)-O(3) bond length. In the second La site, La(2) is bonded to one O(4), two equivalent O(2), and four equivalent O(1) atoms to form distorted LaO7 hexagonal pyramids that share corners with two equivalent La(1)O7 pentagonal bipyramids,  a cornercorner with one Ga(1)O4 tetrahedra, edges with two equivalent La(2)O7 hexagonal pyramids, edges with six equivalent La(1)O7 pentagonal bipyramids, and  an edgeedge with one Ga(1)O4 tetrahedra. The La(2)-O(4) bond length is 2.57 Å. Both La(2)-O(2) bond lengths are 2.60 Å. There are two shorter (2.41 Å) and two longer (2.42 Å) La(2)-O(1) bond lengths. Ga(1) is bonded to one O(3), one O(4), and two equivalent O(2) atoms to form GaO4 tetrahedra that share  a cornercorner with one La(2)O7 hexagonal pyramid, corners with six equivalent La(1)O7 pentagonal bipyramids,  an edgeedge with one La(2)O7 hexagonal pyramid, and edges with two equivalent La(1)O7 pentagonal bipyramids. The Ga(1)-O(3) bond length is 1.87 Å. The Ga(1)-O(4) bond length is 1.85 Å. Both Ga(1)-O(2) bond lengths are 1.88 Å. There are four inequivalent O sites. In the first O site, O(1) is bonded to two equivalent La(1) and two equivalent La(2) atoms to form OLa4 tetrahedra that share corners with two equivalent O(1)La4 tetrahedra, corners with six equivalent O(2)La3Ga trigonal pyramids, edges with three equivalent O(1)La4 tetrahedra, and  an edgeedge with one O(2)La3Ga trigonal pyramid. In the second O site, O(2) is bonded to one La(2), two equivalent La(1), and one Ga(1) atom to form distorted OLa3Ga trigonal pyramids that share corners with six equivalent O(1)La4 tetrahedra, corners with two equivalent O(2)La3Ga trigonal pyramids,  an edgeedge with one O(1)La4 tetrahedra, and  an edgeedge with one O(2)La3Ga trigonal pyramid. In the third O site, O(3) is bonded in a 5-coordinate geometry to four equivalent La(1) and one Ga(1) atom. In the fourth O site, O(4) is bonded in a distorted rectangular see-saw-like geometry to one La(2), two equivalent La(1), and one Ga(1) atom.