Li4Cr3Al3(SbO8)2 is Spinel-derived structured and crystallizes in the monoclinic Cm space group. There are four inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(2), one O(8), and two equivalent O(11) atoms to form LiO4 tetrahedra that share  a cornercorner with one Al(1)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with three equivalent Sb(2)O6 octahedra, and corners with four equivalent Al(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-62°. In the second Li site, Li(2) is bonded to one O(4), one O(5), and two equivalent O(12) atoms to form distorted LiO4 trigonal pyramids that share  a cornercorner with one Cr(1)O6 octahedra, corners with two equivalent Al(2)O6 octahedra, corners with three equivalent Sb(2)O6 octahedra,  an edgeedge with one Al(1)O6 octahedra, and edges with two equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 61-69°. In the third Li site, Li(3) is bonded in a rectangular see-saw-like geometry to one O(3), one O(6), and two equivalent O(9) atoms. In the fourth Li site, Li(4) is bonded to one O(1), one O(7), and two equivalent O(10) atoms to form LiO4 tetrahedra that share  a cornercorner with one Cr(1)O6 octahedra, corners with two equivalent Al(1)O6 octahedra, corners with two equivalent Al(2)O6 octahedra, corners with three equivalent Sb(1)O6 octahedra, and corners with four equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 58-64°. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(4), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form CrO6 octahedra that share corners with two equivalent Sb(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 trigonal pyramid,  an edgeedge with one Sb(2)O6 octahedra, and edges with four equivalent Al(2)O6 octahedra. The corner-sharing octahedral tilt angles are 54°. In the second Cr site, Cr(2) is bonded to one O(1), one O(10), one O(12), one O(2), one O(3), and one O(5) atom to form CrO6 octahedra that share corners with two equivalent Sb(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Sb(1)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, edges with two equivalent Al(1)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 52-53°. There are two inequivalent Al sites. In the first Al site, Al(1) is bonded to one O(2), one O(3), two equivalent O(10), and two equivalent O(12) atoms to form AlO6 octahedra that share corners with two equivalent Sb(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Sb(1)O6 octahedra, edges with four equivalent Cr(2)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 49°. In the second Al site, Al(2) is bonded to one O(11), one O(4), one O(6), one O(7), one O(8), and one O(9) atom to form AlO6 octahedra that share corners with two equivalent Sb(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 trigonal pyramid,  an edgeedge with one Sb(2)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, and edges with two equivalent Al(2)O6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are two inequivalent Sb sites. In the first Sb site, Sb(1) is bonded to one O(1), one O(6), two equivalent O(10), and two equivalent O(9) atoms to form SbO6 octahedra that share corners with two equivalent Cr(1)O6 octahedra, corners with four equivalent Al(2)O6 octahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Al(1)O6 octahedra, and edges with two equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-54°. In the second Sb site, Sb(2) is bonded to one O(5), one O(8), two equivalent O(11), and two equivalent O(12) atoms to form SbO6 octahedra that share corners with two equivalent Al(1)O6 octahedra, corners with four equivalent Cr(2)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra, corners with three equivalent Li(2)O4 trigonal pyramids,  an edgeedge with one Cr(1)O6 octahedra, and edges with two equivalent Al(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-53°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded to one Li(4), two equivalent Cr(2), and one Sb(1) atom to form distorted OLiCr2Sb trigonal pyramids that share corners with two equivalent O(3)LiAlCr2 tetrahedra, corners with two equivalent O(10)LiAlCrSb tetrahedra,  a cornercorner with one O(7)LiAl2Cr trigonal pyramid, and edges with two equivalent O(10)LiAlCrSb tetrahedra. In the second O site, O(2) is bonded in a rectangular see-saw-like geometry to one Li(1), two equivalent Cr(2), and one Al(1) atom. In the third O site, O(3) is bonded to one Li(3), two equivalent Cr(2), and one Al(1) atom to form OLiAlCr2 tetrahedra that share corners with four equivalent O(10)LiAlCrSb tetrahedra and corners with two equivalent O(1)LiCr2Sb trigonal pyramids. In the fourth O site, O(4) is bonded to one Li(2), one Cr(1), and two equivalent Al(2) atoms to form OLiAl2Cr tetrahedra that share corners with two equivalent O(8)LiAl2Sb trigonal pyramids, corners with three equivalent O(7)LiAl2Cr trigonal pyramids, and corners with four equivalent O(11)LiAlCrSb trigonal pyramids. In the fifth O site, O(5) is bonded in a rectangular see-saw-like geometry to one Li(2), two equivalent Cr(2), and one Sb(2) atom. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to one Li(3), two equivalent Al(2), and one Sb(1) atom. In the seventh O site, O(7) is bonded to one Li(4), one Cr(1), and two equivalent Al(2) atoms to form distorted OLiAl2Cr trigonal pyramids that share corners with two equivalent O(10)LiAlCrSb tetrahedra, corners with three equivalent O(4)LiAl2Cr tetrahedra,  a cornercorner with one O(1)LiCr2Sb trigonal pyramid,  an edgeedge with one O(8)LiAl2Sb trigonal pyramid, and edges with two equivalent O(11)LiAlCrSb trigonal pyramids. In the eighth O site, O(8) is bonded to one Li(1), two equivalent Al(2), and one Sb(2) atom to form distorted OLiAl2Sb trigonal pyramids that share corners with two equivalent O(4)LiAl2Cr tetrahedra, corners with two equivalent O(11)LiAlCrSb trigonal pyramids,  an edgeedge with one O(7)LiAl2Cr trigonal pyramid, and edges with two equivalent O(11)LiAlCrSb trigonal pyramids. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Li(3), one Cr(1), one Al(2), and one Sb(1) atom. In the tenth O site, O(10) is bonded to one Li(4), one Cr(2), one Al(1), and one Sb(1) atom to form distorted OLiAlCrSb tetrahedra that share  a cornercorner with one O(10)LiAlCrSb tetrahedra, corners with two equivalent O(3)LiAlCr2 tetrahedra,  a cornercorner with one O(7)LiAl2Cr trigonal pyramid,  a cornercorner with one O(1)LiCr2Sb trigonal pyramid,  an edgeedge with one O(10)LiAlCrSb tetrahedra, and  an edgeedge with one O(1)LiCr2Sb trigonal pyramid. In the eleventh O site, O(11) is bonded to one Li(1), one Cr(1), one Al(2), and one Sb(2) atom to form distorted OLiAlCrSb trigonal pyramids that share corners with two equivalent O(4)LiAl2Cr tetrahedra,  a cornercorner with one O(8)LiAl2Sb trigonal pyramid,  a cornercorner with one O(11)LiAlCrSb trigonal pyramid,  an edgeedge with one O(7)LiAl2Cr trigonal pyramid,  an edgeedge with one O(8)LiAl2Sb trigonal pyramid, and  an edgeedge with one O(11)LiAlCrSb trigonal pyramid. In the twelfth O site, O(12) is bonded in a rectangular see-saw-like geometry to one Li(2), one Cr(2), one Al(1), and one Sb(2) atom.
Li4Cr3Al3(SbO8)2 is Spinel-derived structured and crystallizes in the monoclinic Cm space group. There are four inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(2), one O(8), and two equivalent O(11) atoms to form LiO4 tetrahedra that share  a cornercorner with one Al(1)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with three equivalent Sb(2)O6 octahedra, and corners with four equivalent Al(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-62°. The Li(1)-O(2) bond length is 1.98 Å. The Li(1)-O(8) bond length is 1.98 Å. Both Li(1)-O(11) bond lengths are 1.97 Å. In the second Li site, Li(2) is bonded to one O(4), one O(5), and two equivalent O(12) atoms to form distorted LiO4 trigonal pyramids that share  a cornercorner with one Cr(1)O6 octahedra, corners with two equivalent Al(2)O6 octahedra, corners with three equivalent Sb(2)O6 octahedra,  an edgeedge with one Al(1)O6 octahedra, and edges with two equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 61-69°. The Li(2)-O(4) bond length is 1.80 Å. The Li(2)-O(5) bond length is 1.97 Å. Both Li(2)-O(12) bond lengths are 1.97 Å. In the third Li site, Li(3) is bonded in a rectangular see-saw-like geometry to one O(3), one O(6), and two equivalent O(9) atoms. The Li(3)-O(3) bond length is 1.79 Å. The Li(3)-O(6) bond length is 1.98 Å. Both Li(3)-O(9) bond lengths are 1.97 Å. In the fourth Li site, Li(4) is bonded to one O(1), one O(7), and two equivalent O(10) atoms to form LiO4 tetrahedra that share  a cornercorner with one Cr(1)O6 octahedra, corners with two equivalent Al(1)O6 octahedra, corners with two equivalent Al(2)O6 octahedra, corners with three equivalent Sb(1)O6 octahedra, and corners with four equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 58-64°. The Li(4)-O(1) bond length is 1.96 Å. The Li(4)-O(7) bond length is 1.98 Å. Both Li(4)-O(10) bond lengths are 1.97 Å. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(4), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form CrO6 octahedra that share corners with two equivalent Sb(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 trigonal pyramid,  an edgeedge with one Sb(2)O6 octahedra, and edges with four equivalent Al(2)O6 octahedra. The corner-sharing octahedral tilt angles are 54°. The Cr(1)-O(4) bond length is 1.99 Å. The Cr(1)-O(7) bond length is 1.99 Å. Both Cr(1)-O(11) bond lengths are 2.03 Å. Both Cr(1)-O(9) bond lengths are 2.06 Å. In the second Cr site, Cr(2) is bonded to one O(1), one O(10), one O(12), one O(2), one O(3), and one O(5) atom to form CrO6 octahedra that share corners with two equivalent Sb(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Sb(1)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, edges with two equivalent Al(1)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 52-53°. The Cr(2)-O(1) bond length is 2.02 Å. The Cr(2)-O(10) bond length is 2.04 Å. The Cr(2)-O(12) bond length is 2.07 Å. The Cr(2)-O(2) bond length is 1.97 Å. The Cr(2)-O(3) bond length is 1.97 Å. The Cr(2)-O(5) bond length is 2.05 Å. There are two inequivalent Al sites. In the first Al site, Al(1) is bonded to one O(2), one O(3), two equivalent O(10), and two equivalent O(12) atoms to form AlO6 octahedra that share corners with two equivalent Sb(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Sb(1)O6 octahedra, edges with four equivalent Cr(2)O6 octahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 49°. The Al(1)-O(2) bond length is 1.85 Å. The Al(1)-O(3) bond length is 1.84 Å. Both Al(1)-O(10) bond lengths are 1.99 Å. Both Al(1)-O(12) bond lengths are 2.00 Å. In the second Al site, Al(2) is bonded to one O(11), one O(4), one O(6), one O(7), one O(8), and one O(9) atom to form AlO6 octahedra that share corners with two equivalent Sb(1)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 trigonal pyramid,  an edgeedge with one Sb(2)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, and edges with two equivalent Al(2)O6 octahedra. The corner-sharing octahedral tilt angles are 50°. The Al(2)-O(11) bond length is 1.96 Å. The Al(2)-O(4) bond length is 1.86 Å. The Al(2)-O(6) bond length is 2.03 Å. The Al(2)-O(7) bond length is 1.88 Å. The Al(2)-O(8) bond length is 2.00 Å. The Al(2)-O(9) bond length is 1.98 Å. There are two inequivalent Sb sites. In the first Sb site, Sb(1) is bonded to one O(1), one O(6), two equivalent O(10), and two equivalent O(9) atoms to form SbO6 octahedra that share corners with two equivalent Cr(1)O6 octahedra, corners with four equivalent Al(2)O6 octahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Al(1)O6 octahedra, and edges with two equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-54°. The Sb(1)-O(1) bond length is 2.06 Å. The Sb(1)-O(6) bond length is 2.01 Å. Both Sb(1)-O(10) bond lengths are 2.06 Å. Both Sb(1)-O(9) bond lengths are 2.02 Å. In the second Sb site, Sb(2) is bonded to one O(5), one O(8), two equivalent O(11), and two equivalent O(12) atoms to form SbO6 octahedra that share corners with two equivalent Al(1)O6 octahedra, corners with four equivalent Cr(2)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra, corners with three equivalent Li(2)O4 trigonal pyramids,  an edgeedge with one Cr(1)O6 octahedra, and edges with two equivalent Al(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-53°. The Sb(2)-O(5) bond length is 2.01 Å. The Sb(2)-O(8) bond length is 2.05 Å. Both Sb(2)-O(11) bond lengths are 2.06 Å. Both Sb(2)-O(12) bond lengths are 2.01 Å. There are twelve inequivalent O sites. In the first O site, O(1) is bonded to one Li(4), two equivalent Cr(2), and one Sb(1) atom to form distorted OLiCr2Sb trigonal pyramids that share corners with two equivalent O(3)LiAlCr2 tetrahedra, corners with two equivalent O(10)LiAlCrSb tetrahedra,  a cornercorner with one O(7)LiAl2Cr trigonal pyramid, and edges with two equivalent O(10)LiAlCrSb tetrahedra. In the second O site, O(2) is bonded in a rectangular see-saw-like geometry to one Li(1), two equivalent Cr(2), and one Al(1) atom. In the third O site, O(3) is bonded to one Li(3), two equivalent Cr(2), and one Al(1) atom to form OLiAlCr2 tetrahedra that share corners with four equivalent O(10)LiAlCrSb tetrahedra and corners with two equivalent O(1)LiCr2Sb trigonal pyramids. In the fourth O site, O(4) is bonded to one Li(2), one Cr(1), and two equivalent Al(2) atoms to form OLiAl2Cr tetrahedra that share corners with two equivalent O(8)LiAl2Sb trigonal pyramids, corners with three equivalent O(7)LiAl2Cr trigonal pyramids, and corners with four equivalent O(11)LiAlCrSb trigonal pyramids. In the fifth O site, O(5) is bonded in a rectangular see-saw-like geometry to one Li(2), two equivalent Cr(2), and one Sb(2) atom. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to one Li(3), two equivalent Al(2), and one Sb(1) atom. In the seventh O site, O(7) is bonded to one Li(4), one Cr(1), and two equivalent Al(2) atoms to form distorted OLiAl2Cr trigonal pyramids that share corners with two equivalent O(10)LiAlCrSb tetrahedra, corners with three equivalent O(4)LiAl2Cr tetrahedra,  a cornercorner with one O(1)LiCr2Sb trigonal pyramid,  an edgeedge with one O(8)LiAl2Sb trigonal pyramid, and edges with two equivalent O(11)LiAlCrSb trigonal pyramids. In the eighth O site, O(8) is bonded to one Li(1), two equivalent Al(2), and one Sb(2) atom to form distorted OLiAl2Sb trigonal pyramids that share corners with two equivalent O(4)LiAl2Cr tetrahedra, corners with two equivalent O(11)LiAlCrSb trigonal pyramids,  an edgeedge with one O(7)LiAl2Cr trigonal pyramid, and edges with two equivalent O(11)LiAlCrSb trigonal pyramids. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Li(3), one Cr(1), one Al(2), and one Sb(1) atom. In the tenth O site, O(10) is bonded to one Li(4), one Cr(2), one Al(1), and one Sb(1) atom to form distorted OLiAlCrSb tetrahedra that share  a cornercorner with one O(10)LiAlCrSb tetrahedra, corners with two equivalent O(3)LiAlCr2 tetrahedra,  a cornercorner with one O(7)LiAl2Cr trigonal pyramid,  a cornercorner with one O(1)LiCr2Sb trigonal pyramid,  an edgeedge with one O(10)LiAlCrSb tetrahedra, and  an edgeedge with one O(1)LiCr2Sb trigonal pyramid. In the eleventh O site, O(11) is bonded to one Li(1), one Cr(1), one Al(2), and one Sb(2) atom to form distorted OLiAlCrSb trigonal pyramids that share corners with two equivalent O(4)LiAl2Cr tetrahedra,  a cornercorner with one O(8)LiAl2Sb trigonal pyramid,  a cornercorner with one O(11)LiAlCrSb trigonal pyramid,  an edgeedge with one O(7)LiAl2Cr trigonal pyramid,  an edgeedge with one O(8)LiAl2Sb trigonal pyramid, and  an edgeedge with one O(11)LiAlCrSb trigonal pyramid. In the twelfth O site, O(12) is bonded in a rectangular see-saw-like geometry to one Li(2), one Cr(2), one Al(1), and one Sb(2) atom.