Li4Cr3GaO8 is alpha Po-derived structured and crystallizes in the monoclinic C2 space group. There are three inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(1), one O(2), two equivalent O(3), and two equivalent O(4) atoms to form LiO6 octahedra that share corners with three equivalent Cr(1)O6 octahedra, corners with three equivalent Ga(1)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Ga(1)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, and edges with four equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-6°. In the second Li site, Li(2) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(4) atoms to form LiO6 octahedra that share corners with six equivalent Cr(2)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, edges with two equivalent Ga(1)O6 octahedra, and edges with four equivalent Li(1)O6 octahedra. The corner-sharing octahedral tilt angles are 5°. In the third Li site, Li(3) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(3) atoms to form LiO6 octahedra that share corners with six equivalent Cr(2)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, edges with two equivalent Ga(1)O6 octahedra, and edges with four equivalent Li(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-6°. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to two equivalent O(2), two equivalent O(3), and two equivalent O(4) atoms to form CrO6 octahedra that share corners with six equivalent Li(1)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Ga(1)O6 octahedra, and edges with four equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-6°. In the second Cr site, Cr(2) is bonded to one O(3), one O(4), two equivalent O(1), and two equivalent O(2) atoms to form CrO6 octahedra that share corners with three equivalent Li(2)O6 octahedra, corners with three equivalent Li(3)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, edges with two equivalent Ga(1)O6 octahedra, and edges with four equivalent Li(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-6°. Ga(1) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(4) atoms to form GaO6 octahedra that share corners with six equivalent Li(1)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, and edges with four equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-6°. There are four inequivalent O sites. In the first O site, O(1) is bonded to one Li(1), one Li(2), one Li(3), two equivalent Cr(2), and one Ga(1) atom to form OLi3Cr2Ga octahedra that share corners with three equivalent O(1)Li3Cr2Ga octahedra, corners with three equivalent O(2)Li3Cr3 octahedra,  an edgeedge with one O(1)Li3Cr2Ga octahedra, edges with three equivalent O(2)Li3Cr3 octahedra, edges with four equivalent O(3)Li3Cr2Ga octahedra, and edges with four equivalent O(4)Li3Cr2Ga octahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the second O site, O(2) is bonded to one Li(1), one Li(2), one Li(3), one Cr(1), and two equivalent Cr(2) atoms to form OLi3Cr3 octahedra that share corners with three equivalent O(1)Li3Cr2Ga octahedra, corners with three equivalent O(2)Li3Cr3 octahedra,  an edgeedge with one O(2)Li3Cr3 octahedra, edges with three equivalent O(1)Li3Cr2Ga octahedra, edges with four equivalent O(3)Li3Cr2Ga octahedra, and edges with four equivalent O(4)Li3Cr2Ga octahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the third O site, O(3) is bonded to one Li(3), two equivalent Li(1), one Cr(1), one Cr(2), and one Ga(1) atom to form OLi3Cr2Ga octahedra that share corners with three equivalent O(3)Li3Cr2Ga octahedra, corners with three equivalent O(4)Li3Cr2Ga octahedra,  an edgeedge with one O(3)Li3Cr2Ga octahedra, edges with three equivalent O(4)Li3Cr2Ga octahedra, edges with four equivalent O(1)Li3Cr2Ga octahedra, and edges with four equivalent O(2)Li3Cr3 octahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the fourth O site, O(4) is bonded to one Li(2), two equivalent Li(1), one Cr(1), one Cr(2), and one Ga(1) atom to form OLi3Cr2Ga octahedra that share corners with three equivalent O(3)Li3Cr2Ga octahedra, corners with three equivalent O(4)Li3Cr2Ga octahedra,  an edgeedge with one O(4)Li3Cr2Ga octahedra, edges with three equivalent O(3)Li3Cr2Ga octahedra, edges with four equivalent O(1)Li3Cr2Ga octahedra, and edges with four equivalent O(2)Li3Cr3 octahedra. The corner-sharing octahedral tilt angles range from 0-1°.
Li4Cr3GaO8 is alpha Po-derived structured and crystallizes in the monoclinic C2 space group. There are three inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(1), one O(2), two equivalent O(3), and two equivalent O(4) atoms to form LiO6 octahedra that share corners with three equivalent Cr(1)O6 octahedra, corners with three equivalent Ga(1)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Ga(1)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, and edges with four equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-6°. The Li(1)-O(1) bond length is 2.17 Å. The Li(1)-O(2) bond length is 2.17 Å. Both Li(1)-O(3) bond lengths are 2.17 Å. There is one shorter (2.16 Å) and one longer (2.17 Å) Li(1)-O(4) bond length. In the second Li site, Li(2) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(4) atoms to form LiO6 octahedra that share corners with six equivalent Cr(2)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, edges with two equivalent Ga(1)O6 octahedra, and edges with four equivalent Li(1)O6 octahedra. The corner-sharing octahedral tilt angles are 5°. Both Li(2)-O(1) bond lengths are 2.16 Å. Both Li(2)-O(2) bond lengths are 2.17 Å. Both Li(2)-O(4) bond lengths are 2.16 Å. In the third Li site, Li(3) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(3) atoms to form LiO6 octahedra that share corners with six equivalent Cr(2)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, edges with two equivalent Ga(1)O6 octahedra, and edges with four equivalent Li(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-6°. Both Li(3)-O(1) bond lengths are 2.17 Å. Both Li(3)-O(2) bond lengths are 2.16 Å. Both Li(3)-O(3) bond lengths are 2.17 Å. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to two equivalent O(2), two equivalent O(3), and two equivalent O(4) atoms to form CrO6 octahedra that share corners with six equivalent Li(1)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Ga(1)O6 octahedra, and edges with four equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-6°. Both Cr(1)-O(2) bond lengths are 2.03 Å. Both Cr(1)-O(3) bond lengths are 2.03 Å. Both Cr(1)-O(4) bond lengths are 2.03 Å. In the second Cr site, Cr(2) is bonded to one O(3), one O(4), two equivalent O(1), and two equivalent O(2) atoms to form CrO6 octahedra that share corners with three equivalent Li(2)O6 octahedra, corners with three equivalent Li(3)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, edges with two equivalent Ga(1)O6 octahedra, and edges with four equivalent Li(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-6°. The Cr(2)-O(3) bond length is 2.03 Å. The Cr(2)-O(4) bond length is 2.03 Å. There is one shorter (2.03 Å) and one longer (2.04 Å) Cr(2)-O(1) bond length. There is one shorter (2.03 Å) and one longer (2.04 Å) Cr(2)-O(2) bond length. Ga(1) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(4) atoms to form GaO6 octahedra that share corners with six equivalent Li(1)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, and edges with four equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-6°. Both Ga(1)-O(1) bond lengths are 2.03 Å. Both Ga(1)-O(3) bond lengths are 2.03 Å. Both Ga(1)-O(4) bond lengths are 2.03 Å. There are four inequivalent O sites. In the first O site, O(1) is bonded to one Li(1), one Li(2), one Li(3), two equivalent Cr(2), and one Ga(1) atom to form OLi3Cr2Ga octahedra that share corners with three equivalent O(1)Li3Cr2Ga octahedra, corners with three equivalent O(2)Li3Cr3 octahedra,  an edgeedge with one O(1)Li3Cr2Ga octahedra, edges with three equivalent O(2)Li3Cr3 octahedra, edges with four equivalent O(3)Li3Cr2Ga octahedra, and edges with four equivalent O(4)Li3Cr2Ga octahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the second O site, O(2) is bonded to one Li(1), one Li(2), one Li(3), one Cr(1), and two equivalent Cr(2) atoms to form OLi3Cr3 octahedra that share corners with three equivalent O(1)Li3Cr2Ga octahedra, corners with three equivalent O(2)Li3Cr3 octahedra,  an edgeedge with one O(2)Li3Cr3 octahedra, edges with three equivalent O(1)Li3Cr2Ga octahedra, edges with four equivalent O(3)Li3Cr2Ga octahedra, and edges with four equivalent O(4)Li3Cr2Ga octahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the third O site, O(3) is bonded to one Li(3), two equivalent Li(1), one Cr(1), one Cr(2), and one Ga(1) atom to form OLi3Cr2Ga octahedra that share corners with three equivalent O(3)Li3Cr2Ga octahedra, corners with three equivalent O(4)Li3Cr2Ga octahedra,  an edgeedge with one O(3)Li3Cr2Ga octahedra, edges with three equivalent O(4)Li3Cr2Ga octahedra, edges with four equivalent O(1)Li3Cr2Ga octahedra, and edges with four equivalent O(2)Li3Cr3 octahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the fourth O site, O(4) is bonded to one Li(2), two equivalent Li(1), one Cr(1), one Cr(2), and one Ga(1) atom to form OLi3Cr2Ga octahedra that share corners with three equivalent O(3)Li3Cr2Ga octahedra, corners with three equivalent O(4)Li3Cr2Ga octahedra,  an edgeedge with one O(4)Li3Cr2Ga octahedra, edges with three equivalent O(3)Li3Cr2Ga octahedra, edges with four equivalent O(1)Li3Cr2Ga octahedra, and edges with four equivalent O(2)Li3Cr3 octahedra. The corner-sharing octahedral tilt angles range from 0-1°.