LiVGaO4 is Spinel-derived structured and crystallizes in the triclinic P1 space group. There are four inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(10), one O(12), one O(3), and one O(8) atom to form LiO4 tetrahedra that share  a cornercorner with one V(4)O6 octahedra,  a cornercorner with one Ga(2)O6 octahedra,  a cornercorner with one Ga(3)O6 octahedra, corners with two equivalent V(2)O6 octahedra, corners with two equivalent Ga(1)O6 octahedra, corners with two equivalent Ga(4)O6 octahedra, and corners with three equivalent V(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-62°. In the second Li site, Li(2) is bonded to one O(11), one O(4), one O(7), and one O(9) atom to form LiO4 tetrahedra that share  a cornercorner with one V(2)O6 octahedra,  a cornercorner with one Ga(1)O6 octahedra,  a cornercorner with one Ga(4)O6 octahedra, corners with two equivalent V(4)O6 octahedra, corners with two equivalent Ga(2)O6 octahedra, corners with two equivalent Ga(3)O6 octahedra, and corners with three equivalent V(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-61°. In the third Li site, Li(3) is bonded to one O(14), one O(16), one O(2), and one O(5) atom to form LiO4 tetrahedra that share  a cornercorner with one V(4)O6 octahedra,  a cornercorner with one Ga(2)O6 octahedra,  a cornercorner with one Ga(3)O6 octahedra, corners with two equivalent V(2)O6 octahedra, corners with two equivalent Ga(1)O6 octahedra, corners with two equivalent Ga(4)O6 octahedra, and corners with three equivalent V(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-62°. In the fourth Li site, Li(4) is bonded to one O(1), one O(13), one O(15), and one O(6) atom to form LiO4 tetrahedra that share  a cornercorner with one V(2)O6 octahedra,  a cornercorner with one Ga(1)O6 octahedra,  a cornercorner with one Ga(4)O6 octahedra, corners with two equivalent V(4)O6 octahedra, corners with two equivalent Ga(2)O6 octahedra, corners with two equivalent Ga(3)O6 octahedra, and corners with three equivalent V(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-61°. There are four inequivalent V sites. In the first V site, V(1) is bonded to one O(11), one O(14), one O(16), one O(2), one O(7), and one O(9) atom to form VO6 octahedra that share corners with three equivalent Li(2)O4 tetrahedra, corners with three equivalent Li(3)O4 tetrahedra,  an edgeedge with one V(2)O6 octahedra,  an edgeedge with one V(4)O6 octahedra,  an edgeedge with one Ga(1)O6 octahedra,  an edgeedge with one Ga(2)O6 octahedra,  an edgeedge with one Ga(3)O6 octahedra, and  an edgeedge with one Ga(4)O6 octahedra. In the second V site, V(2) is bonded to one O(10), one O(12), one O(14), one O(16), one O(4), and one O(6) atom to form VO6 octahedra that share  a cornercorner with one Li(2)O4 tetrahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra, corners with two equivalent Li(3)O4 tetrahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one V(3)O6 octahedra, edges with two equivalent Ga(1)O6 octahedra, and edges with two equivalent Ga(4)O6 octahedra. In the third V site, V(3) is bonded to one O(1), one O(10), one O(12), one O(13), one O(15), and one O(8) atom to form VO6 octahedra that share corners with three equivalent Li(1)O4 tetrahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one V(2)O6 octahedra,  an edgeedge with one V(4)O6 octahedra,  an edgeedge with one Ga(1)O6 octahedra,  an edgeedge with one Ga(2)O6 octahedra,  an edgeedge with one Ga(3)O6 octahedra, and  an edgeedge with one Ga(4)O6 octahedra. In the fourth V site, V(4) is bonded to one O(11), one O(13), one O(15), one O(3), one O(5), and one O(9) atom to form VO6 octahedra that share  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(3)O4 tetrahedra, corners with two equivalent Li(2)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one V(3)O6 octahedra, edges with two equivalent Ga(2)O6 octahedra, and edges with two equivalent Ga(3)O6 octahedra. There are four inequivalent Ga sites. In the first Ga site, Ga(1) is bonded to one O(12), one O(14), one O(2), one O(4), one O(6), and one O(8) atom to form GaO6 octahedra that share  a cornercorner with one Li(2)O4 tetrahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra, corners with two equivalent Li(3)O4 tetrahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one V(3)O6 octahedra, edges with two equivalent V(2)O6 octahedra, and edges with two equivalent Ga(4)O6 octahedra. In the second Ga site, Ga(2) is bonded to one O(1), one O(11), one O(13), one O(3), one O(5), and one O(7) atom to form GaO6 octahedra that share  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(3)O4 tetrahedra, corners with two equivalent Li(2)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one V(3)O6 octahedra, edges with two equivalent V(4)O6 octahedra, and edges with two equivalent Ga(3)O6 octahedra. In the third Ga site, Ga(3) is bonded to one O(1), one O(15), one O(3), one O(5), one O(7), and one O(9) atom to form GaO6 octahedra that share  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(3)O4 tetrahedra, corners with two equivalent Li(2)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one V(3)O6 octahedra, edges with two equivalent V(4)O6 octahedra, and edges with two equivalent Ga(2)O6 octahedra. In the fourth Ga site, Ga(4) is bonded to one O(10), one O(16), one O(2), one O(4), one O(6), and one O(8) atom to form GaO6 octahedra that share  a cornercorner with one Li(2)O4 tetrahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra, corners with two equivalent Li(3)O4 tetrahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one V(3)O6 octahedra, edges with two equivalent V(2)O6 octahedra, and edges with two equivalent Ga(1)O6 octahedra. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded to one Li(4), one V(3), one Ga(2), and one Ga(3) atom to form distorted OLiVGa2 trigonal pyramids that share corners with two equivalent O(7)LiVGa2 tetrahedra,  a cornercorner with one O(10)LiV2Ga trigonal pyramid,  a cornercorner with one O(12)LiV2Ga trigonal pyramid,  a cornercorner with one O(13)LiV2Ga trigonal pyramid,  a cornercorner with one O(15)LiV2Ga trigonal pyramid,  a cornercorner with one O(9)LiV2Ga trigonal pyramid,  a cornercorner with one O(6)LiVGa2 trigonal pyramid,  a cornercorner with one O(8)LiVGa2 trigonal pyramid, corners with two equivalent O(3)LiVGa2 trigonal pyramids,  an edgeedge with one O(13)LiV2Ga trigonal pyramid,  an edgeedge with one O(15)LiV2Ga trigonal pyramid, and  an edgeedge with one O(5)LiVGa2 trigonal pyramid. In the second O site, O(2) is bonded to one Li(3), one V(1), one Ga(1), and one Ga(4) atom to form distorted OLiVGa2 trigonal pyramids that share  a cornercorner with one O(7)LiVGa2 tetrahedra, corners with two equivalent O(4)LiVGa2 tetrahedra,  a cornercorner with one O(10)LiV2Ga trigonal pyramid,  a cornercorner with one O(12)LiV2Ga trigonal pyramid,  a cornercorner with one O(14)LiV2Ga trigonal pyramid,  a cornercorner with one O(16)LiV2Ga trigonal pyramid,  a cornercorner with one O(9)LiV2Ga trigonal pyramid,  a cornercorner with one O(5)LiVGa2 trigonal pyramid, corners with two equivalent O(8)LiVGa2 trigonal pyramids,  an edgeedge with one O(14)LiV2Ga trigonal pyramid,  an edgeedge with one O(16)LiV2Ga trigonal pyramid, and  an edgeedge with one O(6)LiVGa2 trigonal pyramid. In the third O site, O(3) is bonded to one Li(1), one V(4), one Ga(2), and one Ga(3) atom to form distorted OLiVGa2 trigonal pyramids that share  a cornercorner with one O(10)LiV2Ga trigonal pyramid,  a cornercorner with one O(12)LiV2Ga trigonal pyramid,  a cornercorner with one O(8)LiVGa2 trigonal pyramid, corners with two equivalent O(13)LiV2Ga trigonal pyramids, corners with two equivalent O(15)LiV2Ga trigonal pyramids, corners with two equivalent O(1)LiVGa2 trigonal pyramids, corners with three equivalent O(5)LiVGa2 trigonal pyramids,  an edgeedge with one O(7)LiVGa2 tetrahedra, and  an edgeedge with one O(9)LiV2Ga trigonal pyramid. In the fourth O site, O(4) is bonded to one Li(2), one V(2), one Ga(1), and one Ga(4) atom to form distorted OLiVGa2 tetrahedra that share  a cornercorner with one O(7)LiVGa2 tetrahedra,  a cornercorner with one O(9)LiV2Ga trigonal pyramid, corners with two equivalent O(14)LiV2Ga trigonal pyramids, corners with two equivalent O(16)LiV2Ga trigonal pyramids, corners with two equivalent O(2)LiVGa2 trigonal pyramids, corners with three equivalent O(6)LiVGa2 trigonal pyramids,  an edgeedge with one O(10)LiV2Ga trigonal pyramid,  an edgeedge with one O(12)LiV2Ga trigonal pyramid, and  an edgeedge with one O(8)LiVGa2 trigonal pyramid. In the fifth O site, O(5) is bonded to one Li(3), one V(4), one Ga(2), and one Ga(3) atom to form distorted OLiVGa2 trigonal pyramids that share corners with two equivalent O(7)LiVGa2 tetrahedra,  a cornercorner with one O(14)LiV2Ga trigonal pyramid,  a cornercorner with one O(16)LiV2Ga trigonal pyramid,  a cornercorner with one O(2)LiVGa2 trigonal pyramid, corners with two equivalent O(9)LiV2Ga trigonal pyramids, corners with three equivalent O(3)LiVGa2 trigonal pyramids,  an edgeedge with one O(13)LiV2Ga trigonal pyramid,  an edgeedge with one O(15)LiV2Ga trigonal pyramid, and  an edgeedge with one O(1)LiVGa2 trigonal pyramid. In the sixth O site, O(6) is bonded to one Li(4), one V(2), one Ga(1), and one Ga(4) atom to form distorted OLiVGa2 trigonal pyramids that share corners with three equivalent O(4)LiVGa2 tetrahedra,  a cornercorner with one O(13)LiV2Ga trigonal pyramid,  a cornercorner with one O(15)LiV2Ga trigonal pyramid,  a cornercorner with one O(1)LiVGa2 trigonal pyramid, corners with two equivalent O(10)LiV2Ga trigonal pyramids, corners with two equivalent O(12)LiV2Ga trigonal pyramids, corners with two equivalent O(8)LiVGa2 trigonal pyramids,  an edgeedge with one O(14)LiV2Ga trigonal pyramid,  an edgeedge with one O(16)LiV2Ga trigonal pyramid, and  an edgeedge with one O(2)LiVGa2 trigonal pyramid. In the seventh O site, O(7) is bonded to one Li(2), one V(1), one Ga(2), and one Ga(3) atom to form distorted OLiVGa2 tetrahedra that share  a cornercorner with one O(4)LiVGa2 tetrahedra,  a cornercorner with one O(13)LiV2Ga trigonal pyramid,  a cornercorner with one O(14)LiV2Ga trigonal pyramid,  a cornercorner with one O(15)LiV2Ga trigonal pyramid,  a cornercorner with one O(16)LiV2Ga trigonal pyramid,  a cornercorner with one O(9)LiV2Ga trigonal pyramid,  a cornercorner with one O(2)LiVGa2 trigonal pyramid, corners with two equivalent O(1)LiVGa2 trigonal pyramids, corners with two equivalent O(5)LiVGa2 trigonal pyramids,  an edgeedge with one O(9)LiV2Ga trigonal pyramid, and  an edgeedge with one O(3)LiVGa2 trigonal pyramid. In the eighth O site, O(8) is bonded to one Li(1), one V(3), one Ga(1), and one Ga(4) atom to form distorted OLiVGa2 trigonal pyramids that share  a cornercorner with one O(10)LiV2Ga trigonal pyramid,  a cornercorner with one O(12)LiV2Ga trigonal pyramid,  a cornercorner with one O(13)LiV2Ga trigonal pyramid,  a cornercorner with one O(14)LiV2Ga trigonal pyramid,  a cornercorner with one O(15)LiV2Ga trigonal pyramid,  a cornercorner with one O(16)LiV2Ga trigonal pyramid,  a cornercorner with one O(1)LiVGa2 trigonal pyramid,  a cornercorner with one O(3)LiVGa2 trigonal pyramid, corners with two equivalent O(2)LiVGa2 trigonal pyramids, corners with two equivalent O(6)LiVGa2 trigonal pyramids,  an edgeedge with one O(4)LiVGa2 tetrahedra,  an edgeedge with one O(10)LiV2Ga trigonal pyramid, and  an edgeedge with one O(12)LiV2Ga trigonal pyramid. In the ninth O site, O(9) is bonded to one Li(2), one V(1), one V(4), and one Ga(3) atom to form distorted OLiV2Ga trigonal pyramids that share  a cornercorner with one O(4)LiVGa2 tetrahedra,  a cornercorner with one O(7)LiVGa2 tetrahedra,  a cornercorner with one O(13)LiV2Ga trigonal pyramid,  a cornercorner with one O(14)LiV2Ga trigonal pyramid,  a cornercorner with one O(16)LiV2Ga trigonal pyramid,  a cornercorner with one O(1)LiVGa2 trigonal pyramid,  a cornercorner with one O(2)LiVGa2 trigonal pyramid, corners with two equivalent O(15)LiV2Ga trigonal pyramids, corners with two equivalent O(5)LiVGa2 trigonal pyramids,  an edgeedge with one O(7)LiVGa2 tetrahedra, and  an edgeedge with one O(3)LiVGa2 trigonal pyramid. In the tenth O site, O(10) is bonded to one Li(1), one V(2), one V(3), and one Ga(4) atom to form distorted OLiV2Ga trigonal pyramids that share  a cornercorner with one O(12)LiV2Ga trigonal pyramid,  a cornercorner with one O(13)LiV2Ga trigonal pyramid,  a cornercorner with one O(14)LiV2Ga trigonal pyramid,  a cornercorner with one O(15)LiV2Ga trigonal pyramid,  a cornercorner with one O(1)LiVGa2 trigonal pyramid,  a cornercorner with one O(2)LiVGa2 trigonal pyramid,  a cornercorner with one O(3)LiVGa2 trigonal pyramid,  a cornercorner with one O(8)LiVGa2 trigonal pyramid, corners with two equivalent O(16)LiV2Ga trigonal pyramids, corners with two equivalent O(6)LiVGa2 trigonal pyramids,  an edgeedge with one O(4)LiVGa2 tetrahedra,  an edgeedge with one O(12)LiV2Ga trigonal pyramid, and  an edgeedge with one O(8)LiVGa2 trigonal pyramid. In the eleventh O site, O(11) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one V(1), one V(4), and one Ga(2) atom. In the twelfth O site, O(12) is bonded to one Li(1), one V(2), one V(3), and one Ga(1) atom to form distorted OLiV2Ga trigonal pyramids that share  a cornercorner with one O(10)LiV2Ga trigonal pyramid,  a cornercorner with one O(13)LiV2Ga trigonal pyramid,  a cornercorner with one O(15)LiV2Ga trigonal pyramid,  a cornercorner with one O(16)LiV2Ga trigonal pyramid,  a cornercorner with one O(1)LiVGa2 trigonal pyramid,  a cornercorner with one O(2)LiVGa2 trigonal pyramid,  a cornercorner with one O(3)LiVGa2 trigonal pyramid,  a cornercorner with one O(8)LiVGa2 trigonal pyramid, corners with two equivalent O(14)LiV2Ga trigonal pyramids, corners with two equivalent O(6)LiVGa2 trigonal pyramids,  an edgeedge with one O(4)LiVGa2 tetrahedra,  an edgeedge with one O(10)LiV2Ga trigonal pyramid, and  an edgeedge with one O(8)LiVGa2 trigonal pyramid. In the thirteenth O site, O(13) is bonded to one Li(4), one V(3), one V(4), and one Ga(2) atom to form distorted OLiV2Ga trigonal pyramids that share  a cornercorner with one O(7)LiVGa2 tetrahedra,  a cornercorner with one O(10)LiV2Ga trigonal pyramid,  a cornercorner with one O(12)LiV2Ga trigonal pyramid,  a cornercorner with one O(15)LiV2Ga trigonal pyramid,  a cornercorner with one O(9)LiV2Ga trigonal pyramid,  a cornercorner with one O(1)LiVGa2 trigonal pyramid,  a cornercorner with one O(6)LiVGa2 trigonal pyramid,  a cornercorner with one O(8)LiVGa2 trigonal pyramid, corners with two equivalent O(3)LiVGa2 trigonal pyramids,  an edgeedge with one O(15)LiV2Ga trigonal pyramid,  an edgeedge with one O(1)LiVGa2 trigonal pyramid, and  an edgeedge with one O(5)LiVGa2 trigonal pyramid. In the fourteenth O site, O(14) is bonded to one Li(3), one V(1), one V(2), and one Ga(1) atom to form distorted OLiV2Ga trigonal pyramids that share  a cornercorner with one O(7)LiVGa2 tetrahedra, corners with two equivalent O(4)LiVGa2 tetrahedra,  a cornercorner with one O(10)LiV2Ga trigonal pyramid,  a cornercorner with one O(16)LiV2Ga trigonal pyramid,  a cornercorner with one O(9)LiV2Ga trigonal pyramid,  a cornercorner with one O(2)LiVGa2 trigonal pyramid,  a cornercorner with one O(5)LiVGa2 trigonal pyramid,  a cornercorner with one O(8)LiVGa2 trigonal pyramid, corners with two equivalent O(12)LiV2Ga trigonal pyramids,  an edgeedge with one O(16)LiV2Ga trigonal pyramid,  an edgeedge with one O(2)LiVGa2 trigonal pyramid, and  an edgeedge with one O(6)LiVGa2 trigonal pyramid. In the fifteenth O site, O(15) is bonded to one Li(4), one V(3), one V(4), and one Ga(3) atom to form distorted OLiV2Ga trigonal pyramids that share  a cornercorner with one O(7)LiVGa2 tetrahedra,  a cornercorner with one O(10)LiV2Ga trigonal pyramid,  a cornercorner with one O(12)LiV2Ga trigonal pyramid,  a cornercorner with one O(13)LiV2Ga trigonal pyramid,  a cornercorner with one O(1)LiVGa2 trigonal pyramid,  a cornercorner with one O(6)LiVGa2 trigonal pyramid,  a cornercorner with one O(8)LiVGa2 trigonal pyramid, corners with two equivalent O(9)LiV2Ga trigonal pyramids, corners with two equivalent O(3)LiVGa2 trigonal pyramids,  an edgeedge with one O(13)LiV2Ga trigonal pyramid,  an edgeedge with one O(1)LiVGa2 trigonal pyramid, and  an edgeedge with one O(5)LiVGa2 trigonal pyramid. In the sixteenth O site, O(16) is bonded to one Li(3), one V(1), one V(2), and one Ga(4) atom to form distorted OLiV2Ga trigonal pyramids that share  a cornercorner with one O(7)LiVGa2 tetrahedra, corners with two equivalent O(4)LiVGa2 tetrahedra,  a cornercorner with one O(12)LiV2Ga trigonal pyramid,  a cornercorner with one O(14)LiV2Ga trigonal pyramid,  a cornercorner with one O(9)LiV2Ga trigonal pyramid,  a cornercorner with one O(2)LiVGa2 trigonal pyramid,  a cornercorner with one O(5)LiVGa2 trigonal pyramid,  a cornercorner with one O(8)LiVGa2 trigonal pyramid, corners with two equivalent O(10)LiV2Ga trigonal pyramids,  an edgeedge with one O(14)LiV2Ga trigonal pyramid,  an edgeedge with one O(2)LiVGa2 trigonal pyramid, and  an edgeedge with one O(6)LiVGa2 trigonal pyramid.
LiVGaO4 is Spinel-derived structured and crystallizes in the triclinic P1 space group. There are four inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(10), one O(12), one O(3), and one O(8) atom to form LiO4 tetrahedra that share  a cornercorner with one V(4)O6 octahedra,  a cornercorner with one Ga(2)O6 octahedra,  a cornercorner with one Ga(3)O6 octahedra, corners with two equivalent V(2)O6 octahedra, corners with two equivalent Ga(1)O6 octahedra, corners with two equivalent Ga(4)O6 octahedra, and corners with three equivalent V(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-62°. The Li(1)-O(10) bond length is 2.04 Å. The Li(1)-O(12) bond length is 2.03 Å. The Li(1)-O(3) bond length is 2.00 Å. The Li(1)-O(8) bond length is 1.99 Å. In the second Li site, Li(2) is bonded to one O(11), one O(4), one O(7), and one O(9) atom to form LiO4 tetrahedra that share  a cornercorner with one V(2)O6 octahedra,  a cornercorner with one Ga(1)O6 octahedra,  a cornercorner with one Ga(4)O6 octahedra, corners with two equivalent V(4)O6 octahedra, corners with two equivalent Ga(2)O6 octahedra, corners with two equivalent Ga(3)O6 octahedra, and corners with three equivalent V(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-61°. The Li(2)-O(11) bond length is 2.05 Å. The Li(2)-O(4) bond length is 1.99 Å. The Li(2)-O(7) bond length is 1.99 Å. The Li(2)-O(9) bond length is 2.03 Å. In the third Li site, Li(3) is bonded to one O(14), one O(16), one O(2), and one O(5) atom to form LiO4 tetrahedra that share  a cornercorner with one V(4)O6 octahedra,  a cornercorner with one Ga(2)O6 octahedra,  a cornercorner with one Ga(3)O6 octahedra, corners with two equivalent V(2)O6 octahedra, corners with two equivalent Ga(1)O6 octahedra, corners with two equivalent Ga(4)O6 octahedra, and corners with three equivalent V(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-62°. The Li(3)-O(14) bond length is 2.04 Å. The Li(3)-O(16) bond length is 2.04 Å. The Li(3)-O(2) bond length is 1.98 Å. The Li(3)-O(5) bond length is 1.99 Å. In the fourth Li site, Li(4) is bonded to one O(1), one O(13), one O(15), and one O(6) atom to form LiO4 tetrahedra that share  a cornercorner with one V(2)O6 octahedra,  a cornercorner with one Ga(1)O6 octahedra,  a cornercorner with one Ga(4)O6 octahedra, corners with two equivalent V(4)O6 octahedra, corners with two equivalent Ga(2)O6 octahedra, corners with two equivalent Ga(3)O6 octahedra, and corners with three equivalent V(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-61°. The Li(4)-O(1) bond length is 2.01 Å. The Li(4)-O(13) bond length is 2.04 Å. The Li(4)-O(15) bond length is 2.02 Å. The Li(4)-O(6) bond length is 1.99 Å. There are four inequivalent V sites. In the first V site, V(1) is bonded to one O(11), one O(14), one O(16), one O(2), one O(7), and one O(9) atom to form VO6 octahedra that share corners with three equivalent Li(2)O4 tetrahedra, corners with three equivalent Li(3)O4 tetrahedra,  an edgeedge with one V(2)O6 octahedra,  an edgeedge with one V(4)O6 octahedra,  an edgeedge with one Ga(1)O6 octahedra,  an edgeedge with one Ga(2)O6 octahedra,  an edgeedge with one Ga(3)O6 octahedra, and  an edgeedge with one Ga(4)O6 octahedra. The V(1)-O(11) bond length is 1.94 Å. The V(1)-O(14) bond length is 1.92 Å. The V(1)-O(16) bond length is 2.03 Å. The V(1)-O(2) bond length is 2.00 Å. The V(1)-O(7) bond length is 2.01 Å. The V(1)-O(9) bond length is 1.97 Å. In the second V site, V(2) is bonded to one O(10), one O(12), one O(14), one O(16), one O(4), and one O(6) atom to form VO6 octahedra that share  a cornercorner with one Li(2)O4 tetrahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra, corners with two equivalent Li(3)O4 tetrahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one V(3)O6 octahedra, edges with two equivalent Ga(1)O6 octahedra, and edges with two equivalent Ga(4)O6 octahedra. The V(2)-O(10) bond length is 1.92 Å. The V(2)-O(12) bond length is 2.00 Å. The V(2)-O(14) bond length is 2.01 Å. The V(2)-O(16) bond length is 1.92 Å. The V(2)-O(4) bond length is 2.01 Å. The V(2)-O(6) bond length is 2.00 Å. In the third V site, V(3) is bonded to one O(1), one O(10), one O(12), one O(13), one O(15), and one O(8) atom to form VO6 octahedra that share corners with three equivalent Li(1)O4 tetrahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one V(2)O6 octahedra,  an edgeedge with one V(4)O6 octahedra,  an edgeedge with one Ga(1)O6 octahedra,  an edgeedge with one Ga(2)O6 octahedra,  an edgeedge with one Ga(3)O6 octahedra, and  an edgeedge with one Ga(4)O6 octahedra. The V(3)-O(1) bond length is 1.97 Å. The V(3)-O(10) bond length is 2.03 Å. The V(3)-O(12) bond length is 1.93 Å. The V(3)-O(13) bond length is 1.99 Å. The V(3)-O(15) bond length is 1.97 Å. The V(3)-O(8) bond length is 1.97 Å. In the fourth V site, V(4) is bonded to one O(11), one O(13), one O(15), one O(3), one O(5), and one O(9) atom to form VO6 octahedra that share  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(3)O4 tetrahedra, corners with two equivalent Li(2)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one V(3)O6 octahedra, edges with two equivalent Ga(2)O6 octahedra, and edges with two equivalent Ga(3)O6 octahedra. The V(4)-O(11) bond length is 2.00 Å. The V(4)-O(13) bond length is 1.95 Å. The V(4)-O(15) bond length is 1.99 Å. The V(4)-O(3) bond length is 1.96 Å. The V(4)-O(5) bond length is 1.98 Å. The V(4)-O(9) bond length is 1.99 Å. There are four inequivalent Ga sites. In the first Ga site, Ga(1) is bonded to one O(12), one O(14), one O(2), one O(4), one O(6), and one O(8) atom to form GaO6 octahedra that share  a cornercorner with one Li(2)O4 tetrahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra, corners with two equivalent Li(3)O4 tetrahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one V(3)O6 octahedra, edges with two equivalent V(2)O6 octahedra, and edges with two equivalent Ga(4)O6 octahedra. The Ga(1)-O(12) bond length is 2.08 Å. The Ga(1)-O(14) bond length is 2.10 Å. The Ga(1)-O(2) bond length is 2.00 Å. The Ga(1)-O(4) bond length is 1.96 Å. The Ga(1)-O(6) bond length is 1.97 Å. The Ga(1)-O(8) bond length is 2.03 Å. In the second Ga site, Ga(2) is bonded to one O(1), one O(11), one O(13), one O(3), one O(5), and one O(7) atom to form GaO6 octahedra that share  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(3)O4 tetrahedra, corners with two equivalent Li(2)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one V(3)O6 octahedra, edges with two equivalent V(4)O6 octahedra, and edges with two equivalent Ga(3)O6 octahedra. The Ga(2)-O(1) bond length is 1.99 Å. The Ga(2)-O(11) bond length is 2.10 Å. The Ga(2)-O(13) bond length is 2.08 Å. The Ga(2)-O(3) bond length is 2.00 Å. The Ga(2)-O(5) bond length is 1.98 Å. The Ga(2)-O(7) bond length is 1.97 Å. In the third Ga site, Ga(3) is bonded to one O(1), one O(15), one O(3), one O(5), one O(7), and one O(9) atom to form GaO6 octahedra that share  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(3)O4 tetrahedra, corners with two equivalent Li(2)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one V(3)O6 octahedra, edges with two equivalent V(4)O6 octahedra, and edges with two equivalent Ga(2)O6 octahedra. The Ga(3)-O(1) bond length is 2.01 Å. The Ga(3)-O(15) bond length is 2.05 Å. The Ga(3)-O(3) bond length is 2.02 Å. The Ga(3)-O(5) bond length is 2.00 Å. The Ga(3)-O(7) bond length is 1.98 Å. The Ga(3)-O(9) bond length is 2.05 Å. In the fourth Ga site, Ga(4) is bonded to one O(10), one O(16), one O(2), one O(4), one O(6), and one O(8) atom to form GaO6 octahedra that share  a cornercorner with one Li(2)O4 tetrahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra, corners with two equivalent Li(3)O4 tetrahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one V(3)O6 octahedra, edges with two equivalent V(2)O6 octahedra, and edges with two equivalent Ga(1)O6 octahedra. The Ga(4)-O(10) bond length is 2.09 Å. The Ga(4)-O(16) bond length is 2.09 Å. The Ga(4)-O(2) bond length is 1.97 Å. The Ga(4)-O(4) bond length is 2.00 Å. The Ga(4)-O(6) bond length is 2.00 Å. The Ga(4)-O(8) bond length is 1.99 Å. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded to one Li(4), one V(3), one Ga(2), and one Ga(3) atom to form distorted OLiVGa2 trigonal pyramids that share corners with two equivalent O(7)LiVGa2 tetrahedra,  a cornercorner with one O(10)LiV2Ga trigonal pyramid,  a cornercorner with one O(12)LiV2Ga trigonal pyramid,  a cornercorner with one O(13)LiV2Ga trigonal pyramid,  a cornercorner with one O(15)LiV2Ga trigonal pyramid,  a cornercorner with one O(9)LiV2Ga trigonal pyramid,  a cornercorner with one O(6)LiVGa2 trigonal pyramid,  a cornercorner with one O(8)LiVGa2 trigonal pyramid, corners with two equivalent O(3)LiVGa2 trigonal pyramids,  an edgeedge with one O(13)LiV2Ga trigonal pyramid,  an edgeedge with one O(15)LiV2Ga trigonal pyramid, and  an edgeedge with one O(5)LiVGa2 trigonal pyramid. In the second O site, O(2) is bonded to one Li(3), one V(1), one Ga(1), and one Ga(4) atom to form distorted OLiVGa2 trigonal pyramids that share  a cornercorner with one O(7)LiVGa2 tetrahedra, corners with two equivalent O(4)LiVGa2 tetrahedra,  a cornercorner with one O(10)LiV2Ga trigonal pyramid,  a cornercorner with one O(12)LiV2Ga trigonal pyramid,  a cornercorner with one O(14)LiV2Ga trigonal pyramid,  a cornercorner with one O(16)LiV2Ga trigonal pyramid,  a cornercorner with one O(9)LiV2Ga trigonal pyramid,  a cornercorner with one O(5)LiVGa2 trigonal pyramid, corners with two equivalent O(8)LiVGa2 trigonal pyramids,  an edgeedge with one O(14)LiV2Ga trigonal pyramid,  an edgeedge with one O(16)LiV2Ga trigonal pyramid, and  an edgeedge with one O(6)LiVGa2 trigonal pyramid. In the third O site, O(3) is bonded to one Li(1), one V(4), one Ga(2), and one Ga(3) atom to form distorted OLiVGa2 trigonal pyramids that share  a cornercorner with one O(10)LiV2Ga trigonal pyramid,  a cornercorner with one O(12)LiV2Ga trigonal pyramid,  a cornercorner with one O(8)LiVGa2 trigonal pyramid, corners with two equivalent O(13)LiV2Ga trigonal pyramids, corners with two equivalent O(15)LiV2Ga trigonal pyramids, corners with two equivalent O(1)LiVGa2 trigonal pyramids, corners with three equivalent O(5)LiVGa2 trigonal pyramids,  an edgeedge with one O(7)LiVGa2 tetrahedra, and  an edgeedge with one O(9)LiV2Ga trigonal pyramid. In the fourth O site, O(4) is bonded to one Li(2), one V(2), one Ga(1), and one Ga(4) atom to form distorted OLiVGa2 tetrahedra that share  a cornercorner with one O(7)LiVGa2 tetrahedra,  a cornercorner with one O(9)LiV2Ga trigonal pyramid, corners with two equivalent O(14)LiV2Ga trigonal pyramids, corners with two equivalent O(16)LiV2Ga trigonal pyramids, corners with two equivalent O(2)LiVGa2 trigonal pyramids, corners with three equivalent O(6)LiVGa2 trigonal pyramids,  an edgeedge with one O(10)LiV2Ga trigonal pyramid,  an edgeedge with one O(12)LiV2Ga trigonal pyramid, and  an edgeedge with one O(8)LiVGa2 trigonal pyramid. In the fifth O site, O(5) is bonded to one Li(3), one V(4), one Ga(2), and one Ga(3) atom to form distorted OLiVGa2 trigonal pyramids that share corners with two equivalent O(7)LiVGa2 tetrahedra,  a cornercorner with one O(14)LiV2Ga trigonal pyramid,  a cornercorner with one O(16)LiV2Ga trigonal pyramid,  a cornercorner with one O(2)LiVGa2 trigonal pyramid, corners with two equivalent O(9)LiV2Ga trigonal pyramids, corners with three equivalent O(3)LiVGa2 trigonal pyramids,  an edgeedge with one O(13)LiV2Ga trigonal pyramid,  an edgeedge with one O(15)LiV2Ga trigonal pyramid, and  an edgeedge with one O(1)LiVGa2 trigonal pyramid. In the sixth O site, O(6) is bonded to one Li(4), one V(2), one Ga(1), and one Ga(4) atom to form distorted OLiVGa2 trigonal pyramids that share corners with three equivalent O(4)LiVGa2 tetrahedra,  a cornercorner with one O(13)LiV2Ga trigonal pyramid,  a cornercorner with one O(15)LiV2Ga trigonal pyramid,  a cornercorner with one O(1)LiVGa2 trigonal pyramid, corners with two equivalent O(10)LiV2Ga trigonal pyramids, corners with two equivalent O(12)LiV2Ga trigonal pyramids, corners with two equivalent O(8)LiVGa2 trigonal pyramids,  an edgeedge with one O(14)LiV2Ga trigonal pyramid,  an edgeedge with one O(16)LiV2Ga trigonal pyramid, and  an edgeedge with one O(2)LiVGa2 trigonal pyramid. In the seventh O site, O(7) is bonded to one Li(2), one V(1), one Ga(2), and one Ga(3) atom to form distorted OLiVGa2 tetrahedra that share  a cornercorner with one O(4)LiVGa2 tetrahedra,  a cornercorner with one O(13)LiV2Ga trigonal pyramid,  a cornercorner with one O(14)LiV2Ga trigonal pyramid,  a cornercorner with one O(15)LiV2Ga trigonal pyramid,  a cornercorner with one O(16)LiV2Ga trigonal pyramid,  a cornercorner with one O(9)LiV2Ga trigonal pyramid,  a cornercorner with one O(2)LiVGa2 trigonal pyramid, corners with two equivalent O(1)LiVGa2 trigonal pyramids, corners with two equivalent O(5)LiVGa2 trigonal pyramids,  an edgeedge with one O(9)LiV2Ga trigonal pyramid, and  an edgeedge with one O(3)LiVGa2 trigonal pyramid. In the eighth O site, O(8) is bonded to one Li(1), one V(3), one Ga(1), and one Ga(4) atom to form distorted OLiVGa2 trigonal pyramids that share  a cornercorner with one O(10)LiV2Ga trigonal pyramid,  a cornercorner with one O(12)LiV2Ga trigonal pyramid,  a cornercorner with one O(13)LiV2Ga trigonal pyramid,  a cornercorner with one O(14)LiV2Ga trigonal pyramid,  a cornercorner with one O(15)LiV2Ga trigonal pyramid,  a cornercorner with one O(16)LiV2Ga trigonal pyramid,  a cornercorner with one O(1)LiVGa2 trigonal pyramid,  a cornercorner with one O(3)LiVGa2 trigonal pyramid, corners with two equivalent O(2)LiVGa2 trigonal pyramids, corners with two equivalent O(6)LiVGa2 trigonal pyramids,  an edgeedge with one O(4)LiVGa2 tetrahedra,  an edgeedge with one O(10)LiV2Ga trigonal pyramid, and  an edgeedge with one O(12)LiV2Ga trigonal pyramid. In the ninth O site, O(9) is bonded to one Li(2), one V(1), one V(4), and one Ga(3) atom to form distorted OLiV2Ga trigonal pyramids that share  a cornercorner with one O(4)LiVGa2 tetrahedra,  a cornercorner with one O(7)LiVGa2 tetrahedra,  a cornercorner with one O(13)LiV2Ga trigonal pyramid,  a cornercorner with one O(14)LiV2Ga trigonal pyramid,  a cornercorner with one O(16)LiV2Ga trigonal pyramid,  a cornercorner with one O(1)LiVGa2 trigonal pyramid,  a cornercorner with one O(2)LiVGa2 trigonal pyramid, corners with two equivalent O(15)LiV2Ga trigonal pyramids, corners with two equivalent O(5)LiVGa2 trigonal pyramids,  an edgeedge with one O(7)LiVGa2 tetrahedra, and  an edgeedge with one O(3)LiVGa2 trigonal pyramid. In the tenth O site, O(10) is bonded to one Li(1), one V(2), one V(3), and one Ga(4) atom to form distorted OLiV2Ga trigonal pyramids that share  a cornercorner with one O(12)LiV2Ga trigonal pyramid,  a cornercorner with one O(13)LiV2Ga trigonal pyramid,  a cornercorner with one O(14)LiV2Ga trigonal pyramid,  a cornercorner with one O(15)LiV2Ga trigonal pyramid,  a cornercorner with one O(1)LiVGa2 trigonal pyramid,  a cornercorner with one O(2)LiVGa2 trigonal pyramid,  a cornercorner with one O(3)LiVGa2 trigonal pyramid,  a cornercorner with one O(8)LiVGa2 trigonal pyramid, corners with two equivalent O(16)LiV2Ga trigonal pyramids, corners with two equivalent O(6)LiVGa2 trigonal pyramids,  an edgeedge with one O(4)LiVGa2 tetrahedra,  an edgeedge with one O(12)LiV2Ga trigonal pyramid, and  an edgeedge with one O(8)LiVGa2 trigonal pyramid. In the eleventh O site, O(11) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one V(1), one V(4), and one Ga(2) atom. In the twelfth O site, O(12) is bonded to one Li(1), one V(2), one V(3), and one Ga(1) atom to form distorted OLiV2Ga trigonal pyramids that share  a cornercorner with one O(10)LiV2Ga trigonal pyramid,  a cornercorner with one O(13)LiV2Ga trigonal pyramid,  a cornercorner with one O(15)LiV2Ga trigonal pyramid,  a cornercorner with one O(16)LiV2Ga trigonal pyramid,  a cornercorner with one O(1)LiVGa2 trigonal pyramid,  a cornercorner with one O(2)LiVGa2 trigonal pyramid,  a cornercorner with one O(3)LiVGa2 trigonal pyramid,  a cornercorner with one O(8)LiVGa2 trigonal pyramid, corners with two equivalent O(14)LiV2Ga trigonal pyramids, corners with two equivalent O(6)LiVGa2 trigonal pyramids,  an edgeedge with one O(4)LiVGa2 tetrahedra,  an edgeedge with one O(10)LiV2Ga trigonal pyramid, and  an edgeedge with one O(8)LiVGa2 trigonal pyramid. In the thirteenth O site, O(13) is bonded to one Li(4), one V(3), one V(4), and one Ga(2) atom to form distorted OLiV2Ga trigonal pyramids that share  a cornercorner with one O(7)LiVGa2 tetrahedra,  a cornercorner with one O(10)LiV2Ga trigonal pyramid,  a cornercorner with one O(12)LiV2Ga trigonal pyramid,  a cornercorner with one O(15)LiV2Ga trigonal pyramid,  a cornercorner with one O(9)LiV2Ga trigonal pyramid,  a cornercorner with one O(1)LiVGa2 trigonal pyramid,  a cornercorner with one O(6)LiVGa2 trigonal pyramid,  a cornercorner with one O(8)LiVGa2 trigonal pyramid, corners with two equivalent O(3)LiVGa2 trigonal pyramids,  an edgeedge with one O(15)LiV2Ga trigonal pyramid,  an edgeedge with one O(1)LiVGa2 trigonal pyramid, and  an edgeedge with one O(5)LiVGa2 trigonal pyramid. In the fourteenth O site, O(14) is bonded to one Li(3), one V(1), one V(2), and one Ga(1) atom to form distorted OLiV2Ga trigonal pyramids that share  a cornercorner with one O(7)LiVGa2 tetrahedra, corners with two equivalent O(4)LiVGa2 tetrahedra,  a cornercorner with one O(10)LiV2Ga trigonal pyramid,  a cornercorner with one O(16)LiV2Ga trigonal pyramid,  a cornercorner with one O(9)LiV2Ga trigonal pyramid,  a cornercorner with one O(2)LiVGa2 trigonal pyramid,  a cornercorner with one O(5)LiVGa2 trigonal pyramid,  a cornercorner with one O(8)LiVGa2 trigonal pyramid, corners with two equivalent O(12)LiV2Ga trigonal pyramids,  an edgeedge with one O(16)LiV2Ga trigonal pyramid,  an edgeedge with one O(2)LiVGa2 trigonal pyramid, and  an edgeedge with one O(6)LiVGa2 trigonal pyramid. In the fifteenth O site, O(15) is bonded to one Li(4), one V(3), one V(4), and one Ga(3) atom to form distorted OLiV2Ga trigonal pyramids that share  a cornercorner with one O(7)LiVGa2 tetrahedra,  a cornercorner with one O(10)LiV2Ga trigonal pyramid,  a cornercorner with one O(12)LiV2Ga trigonal pyramid,  a cornercorner with one O(13)LiV2Ga trigonal pyramid,  a cornercorner with one O(1)LiVGa2 trigonal pyramid,  a cornercorner with one O(6)LiVGa2 trigonal pyramid,  a cornercorner with one O(8)LiVGa2 trigonal pyramid, corners with two equivalent O(9)LiV2Ga trigonal pyramids, corners with two equivalent O(3)LiVGa2 trigonal pyramids,  an edgeedge with one O(13)LiV2Ga trigonal pyramid,  an edgeedge with one O(1)LiVGa2 trigonal pyramid, and  an edgeedge with one O(5)LiVGa2 trigonal pyramid. In the sixteenth O site, O(16) is bonded to one Li(3), one V(1), one V(2), and one Ga(4) atom to form distorted OLiV2Ga trigonal pyramids that share  a cornercorner with one O(7)LiVGa2 tetrahedra, corners with two equivalent O(4)LiVGa2 tetrahedra,  a cornercorner with one O(12)LiV2Ga trigonal pyramid,  a cornercorner with one O(14)LiV2Ga trigonal pyramid,  a cornercorner with one O(9)LiV2Ga trigonal pyramid,  a cornercorner with one O(2)LiVGa2 trigonal pyramid,  a cornercorner with one O(5)LiVGa2 trigonal pyramid,  a cornercorner with one O(8)LiVGa2 trigonal pyramid, corners with two equivalent O(10)LiV2Ga trigonal pyramids,  an edgeedge with one O(14)LiV2Ga trigonal pyramid,  an edgeedge with one O(2)LiVGa2 trigonal pyramid, and  an edgeedge with one O(6)LiVGa2 trigonal pyramid.