Li4Cr3AlO8 is alpha Po-derived structured and crystallizes in the triclinic P-1 space group. There are six inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(1), one O(2), one O(3), one O(5), one O(7), and one O(8) atom to form LiO6 octahedra that share corners with three equivalent Cr(3)O6 octahedra, corners with three equivalent Al(1)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra,  an edgeedge with one Al(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, and edges with two equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-8°. In the second Li site, Li(2) is bonded to one O(1), one O(2), one O(4), one O(5), one O(6), and one O(7) atom to form LiO6 octahedra that share corners with three equivalent Cr(1)O6 octahedra, corners with three equivalent Cr(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, and edges with two equivalent Al(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-8°. In the third Li site, Li(3) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(6) atoms to form LiO6 octahedra that share corners with two equivalent Cr(1)O6 octahedra, corners with four equivalent Cr(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, and edges with four equivalent Al(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-9°. In the fourth Li site, Li(4) is bonded to two equivalent O(2), two equivalent O(4), and two equivalent O(8) atoms to form LiO6 octahedra that share corners with two equivalent Al(1)O6 octahedra, corners with four equivalent Cr(3)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(6)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, and edges with four equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-5°. In the fifth Li site, Li(5) is bonded to two equivalent O(3), two equivalent O(5), and two equivalent O(6) atoms to form LiO6 octahedra that share corners with two equivalent Cr(3)O6 octahedra, corners with four equivalent Al(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 Al(1)O6 octahedra, and edges with four equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-8°. In the sixth Li site, Li(6) is bonded to two equivalent O(4), two equivalent O(7), and two equivalent O(8) atoms to form LiO6 octahedra that share corners with two equivalent Cr(2)O6 octahedra, corners with four equivalent Cr(1)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, and edges with four equivalent Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles are 5°. There are three inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(1), one O(2), one O(7), one O(8), and two equivalent O(4) atoms to form CrO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra, corners with two equivalent Li(6)O6 octahedra, corners with three equivalent Li(2)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Al(1)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, and edges with three equivalent Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-8°. In the second Cr site, Cr(2) is bonded to one O(1), one O(3), one O(5), one O(7), and two equivalent O(6) atoms to form CrO6 octahedra that share  a cornercorner with one Li(6)O6 octahedra, corners with two equivalent Li(3)O6 octahedra, corners with three equivalent Li(2)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, and edges with three equivalent Al(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-9°. In the third Cr site, Cr(3) is bonded to one O(2), one O(4), one O(5), one O(7), and two equivalent O(8) atoms to form CrO6 octahedra that share  a cornercorner with one Li(5)O6 octahedra, corners with two equivalent Li(4)O6 octahedra, corners with three equivalent Li(1)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra,  an edgeedge with one Al(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(6)O6 octahedra, and edges with three equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-8°. Al(1) is bonded to one O(1), one O(2), one O(5), one O(6), and two equivalent O(3) atoms to form AlO6 octahedra that share  a cornercorner with one Li(4)O6 octahedra, corners with two equivalent Li(5)O6 octahedra, corners with three equivalent Li(1)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra,  an edgeedge with one Al(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, and edges with three equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-7°. There are eight inequivalent O sites. In the first O site, O(1) is bonded to one Li(1), one Li(2), one Li(3), one Cr(1), one Cr(2), and one Al(1) atom to form OLi3AlCr2 octahedra that share  a cornercorner with one O(1)Li3AlCr2 octahedra,  a cornercorner with one O(4)Li3Cr3 octahedra, corners with two equivalent O(6)Li3AlCr2 octahedra, corners with two equivalent O(7)Li3Cr3 octahedra,  an edgeedge with one O(4)Li3Cr3 octahedra,  an edgeedge with one O(7)Li3Cr3 octahedra,  an edgeedge with one O(8)Li3Cr3 octahedra, edges with two equivalent O(2)Li3AlCr2 octahedra, edges with two equivalent O(5)Li3AlCr2 octahedra, edges with two equivalent O(6)Li3AlCr2 octahedra, and edges with three equivalent O(3)Li3Al2Cr octahedra. The corner-sharing octahedral tilt angles range from 0-2°. In the second O site, O(2) is bonded to one Li(1), one Li(2), one Li(4), one Cr(1), one Cr(3), and one Al(1) atom to form OLi3AlCr2 octahedra that share  a cornercorner with one O(3)Li3Al2Cr octahedra,  a cornercorner with one O(2)Li3AlCr2 octahedra, corners with two equivalent O(5)Li3AlCr2 octahedra, corners with two equivalent O(8)Li3Cr3 octahedra,  an edgeedge with one O(3)Li3Al2Cr octahedra,  an edgeedge with one O(5)Li3AlCr2 octahedra,  an edgeedge with one O(6)Li3AlCr2 octahedra, edges with two equivalent O(1)Li3AlCr2 octahedra, edges with two equivalent O(7)Li3Cr3 octahedra, edges with two equivalent O(8)Li3Cr3 octahedra, and edges with three equivalent O(4)Li3Cr3 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the third O site, O(3) is bonded to one Li(1), one Li(3), one Li(5), one Cr(2), and two equivalent Al(1) atoms to form OLi3Al2Cr octahedra that share  a cornercorner with one O(2)Li3AlCr2 octahedra,  a cornercorner with one O(8)Li3Cr3 octahedra, corners with two equivalent O(3)Li3Al2Cr octahedra, corners with two equivalent O(5)Li3AlCr2 octahedra,  an edgeedge with one O(3)Li3Al2Cr octahedra,  an edgeedge with one O(2)Li3AlCr2 octahedra,  an edgeedge with one O(7)Li3Cr3 octahedra, edges with two equivalent O(5)Li3AlCr2 octahedra, edges with three equivalent O(1)Li3AlCr2 octahedra, and edges with four equivalent O(6)Li3AlCr2 octahedra. The corner-sharing octahedral tilt angles range from 0-2°. In the fourth O site, O(4) is bonded to one Li(2), one Li(4), one Li(6), one Cr(3), and two equivalent Cr(1) atoms to form OLi3Cr3 octahedra that share  a cornercorner with one O(1)Li3AlCr2 octahedra,  a cornercorner with one O(6)Li3AlCr2 octahedra, corners with two equivalent O(4)Li3Cr3 octahedra, corners with two equivalent O(7)Li3Cr3 octahedra,  an edgeedge with one O(1)Li3AlCr2 octahedra,  an edgeedge with one O(5)Li3AlCr2 octahedra,  an edgeedge with one O(4)Li3Cr3 octahedra, edges with two equivalent O(7)Li3Cr3 octahedra, edges with three equivalent O(2)Li3AlCr2 octahedra, and edges with four equivalent O(8)Li3Cr3 octahedra. The corner-sharing octahedral tilt angles range from 0-2°. In the fifth O site, O(5) is bonded to one Li(1), one Li(2), one Li(5), one Cr(2), one Cr(3), and one Al(1) atom to form OLi3AlCr2 octahedra that share  a cornercorner with one O(5)Li3AlCr2 octahedra,  a cornercorner with one O(8)Li3Cr3 octahedra, corners with two equivalent O(3)Li3Al2Cr octahedra, corners with two equivalent O(2)Li3AlCr2 octahedra,  an edgeedge with one O(2)Li3AlCr2 octahedra,  an edgeedge with one O(4)Li3Cr3 octahedra,  an edgeedge with one O(8)Li3Cr3 octahedra, edges with two equivalent O(3)Li3Al2Cr octahedra, edges with two equivalent O(1)Li3AlCr2 octahedra, edges with two equivalent O(7)Li3Cr3 octahedra, and edges with three equivalent O(6)Li3AlCr2 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the sixth O site, O(6) is bonded to one Li(2), one Li(3), one Li(5), two equivalent Cr(2), and one Al(1) atom to form OLi3AlCr2 octahedra that share  a cornercorner with one O(4)Li3Cr3 octahedra,  a cornercorner with one O(7)Li3Cr3 octahedra, corners with two equivalent O(1)Li3AlCr2 octahedra, corners with two equivalent O(6)Li3AlCr2 octahedra,  an edgeedge with one O(2)Li3AlCr2 octahedra,  an edgeedge with one O(6)Li3AlCr2 octahedra,  an edgeedge with one O(7)Li3Cr3 octahedra, edges with two equivalent O(1)Li3AlCr2 octahedra, edges with three equivalent O(5)Li3AlCr2 octahedra, and edges with four equivalent O(3)Li3Al2Cr octahedra. The corner-sharing octahedral tilt angles range from 0-2°. In the seventh O site, O(7) is bonded to one Li(1), one Li(2), one Li(6), one Cr(1), one Cr(2), and one Cr(3) atom to form OLi3Cr3 octahedra that share  a cornercorner with one O(6)Li3AlCr2 octahedra,  a cornercorner with one O(7)Li3Cr3 octahedra, corners with two equivalent O(1)Li3AlCr2 octahedra, corners with two equivalent O(4)Li3Cr3 octahedra,  an edgeedge with one O(3)Li3Al2Cr octahedra,  an edgeedge with one O(1)Li3AlCr2 octahedra,  an edgeedge with one O(6)Li3AlCr2 octahedra, edges with two equivalent O(2)Li3AlCr2 octahedra, edges with two equivalent O(5)Li3AlCr2 octahedra, edges with two equivalent O(4)Li3Cr3 octahedra, and edges with three equivalent O(8)Li3Cr3 octahedra. The corner-sharing octahedral tilt angles range from 0-2°. In the eighth O site, O(8) is bonded to one Li(1), one Li(4), one Li(6), one Cr(1), and two equivalent Cr(3) atoms to form OLi3Cr3 octahedra that share  a cornercorner with one O(3)Li3Al2Cr octahedra,  a cornercorner with one O(5)Li3AlCr2 octahedra, corners with two equivalent O(2)Li3AlCr2 octahedra, corners with two equivalent O(8)Li3Cr3 octahedra,  an edgeedge with one O(1)Li3AlCr2 octahedra,  an edgeedge with one O(5)Li3AlCr2 octahedra,  an edgeedge with one O(8)Li3Cr3 octahedra, edges with two equivalent O(2)Li3AlCr2 octahedra, edges with three equivalent O(7)Li3Cr3 octahedra, and edges with four equivalent O(4)Li3Cr3 octahedra. The corner-sharing octahedral tilt angles range from 0-2°.
Li4Cr3AlO8 is alpha Po-derived structured and crystallizes in the triclinic P-1 space group. There are six inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(1), one O(2), one O(3), one O(5), one O(7), and one O(8) atom to form LiO6 octahedra that share corners with three equivalent Cr(3)O6 octahedra, corners with three equivalent Al(1)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra,  an edgeedge with one Al(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, and edges with two equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-8°. The Li(1)-O(1) bond length is 2.21 Å. The Li(1)-O(2) bond length is 2.13 Å. The Li(1)-O(3) bond length is 2.19 Å. The Li(1)-O(5) bond length is 2.22 Å. The Li(1)-O(7) bond length is 2.14 Å. The Li(1)-O(8) bond length is 2.15 Å. In the second Li site, Li(2) is bonded to one O(1), one O(2), one O(4), one O(5), one O(6), and one O(7) atom to form LiO6 octahedra that share corners with three equivalent Cr(1)O6 octahedra, corners with three equivalent Cr(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, and edges with two equivalent Al(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-8°. The Li(2)-O(1) bond length is 2.14 Å. The Li(2)-O(2) bond length is 2.13 Å. The Li(2)-O(4) bond length is 2.15 Å. The Li(2)-O(5) bond length is 2.15 Å. The Li(2)-O(6) bond length is 2.13 Å. The Li(2)-O(7) bond length is 2.15 Å. In the third Li site, Li(3) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(6) atoms to form LiO6 octahedra that share corners with two equivalent Cr(1)O6 octahedra, corners with four equivalent Cr(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, and edges with four equivalent Al(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-9°. Both Li(3)-O(1) bond lengths are 2.13 Å. Both Li(3)-O(3) bond lengths are 2.13 Å. Both Li(3)-O(6) bond lengths are 2.14 Å. In the fourth Li site, Li(4) is bonded to two equivalent O(2), two equivalent O(4), and two equivalent O(8) atoms to form LiO6 octahedra that share corners with two equivalent Al(1)O6 octahedra, corners with four equivalent Cr(3)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(6)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, and edges with four equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-5°. Both Li(4)-O(2) bond lengths are 2.22 Å. Both Li(4)-O(4) bond lengths are 2.14 Å. Both Li(4)-O(8) bond lengths are 2.14 Å. In the fifth Li site, Li(5) is bonded to two equivalent O(3), two equivalent O(5), and two equivalent O(6) atoms to form LiO6 octahedra that share corners with two equivalent Cr(3)O6 octahedra, corners with four equivalent Al(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 Al(1)O6 octahedra, and edges with four equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-8°. Both Li(5)-O(3) bond lengths are 2.20 Å. Both Li(5)-O(5) bond lengths are 2.12 Å. Both Li(5)-O(6) bond lengths are 2.21 Å. In the sixth Li site, Li(6) is bonded to two equivalent O(4), two equivalent O(7), and two equivalent O(8) atoms to form LiO6 octahedra that share corners with two equivalent Cr(2)O6 octahedra, corners with four equivalent Cr(1)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, and edges with four equivalent Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles are 5°. Both Li(6)-O(4) bond lengths are 2.14 Å. Both Li(6)-O(7) bond lengths are 2.15 Å. Both Li(6)-O(8) bond lengths are 2.15 Å. There are three inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(1), one O(2), one O(7), one O(8), and two equivalent O(4) atoms to form CrO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra, corners with two equivalent Li(6)O6 octahedra, corners with three equivalent Li(2)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Al(1)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, and edges with three equivalent Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-8°. The Cr(1)-O(1) bond length is 2.02 Å. The Cr(1)-O(2) bond length is 2.02 Å. The Cr(1)-O(7) bond length is 2.02 Å. The Cr(1)-O(8) bond length is 2.03 Å. There is one shorter (2.02 Å) and one longer (2.03 Å) Cr(1)-O(4) bond length. In the second Cr site, Cr(2) is bonded to one O(1), one O(3), one O(5), one O(7), and two equivalent O(6) atoms to form CrO6 octahedra that share  a cornercorner with one Li(6)O6 octahedra, corners with two equivalent Li(3)O6 octahedra, corners with three equivalent Li(2)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, and edges with three equivalent Al(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-9°. The Cr(2)-O(1) bond length is 2.02 Å. The Cr(2)-O(3) bond length is 2.03 Å. The Cr(2)-O(5) bond length is 2.03 Å. The Cr(2)-O(7) bond length is 2.02 Å. There is one shorter (2.01 Å) and one longer (2.02 Å) Cr(2)-O(6) bond length. In the third Cr site, Cr(3) is bonded to one O(2), one O(4), one O(5), one O(7), and two equivalent O(8) atoms to form CrO6 octahedra that share  a cornercorner with one Li(5)O6 octahedra, corners with two equivalent Li(4)O6 octahedra, corners with three equivalent Li(1)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra,  an edgeedge with one Al(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(6)O6 octahedra, and edges with three equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-8°. The Cr(3)-O(2) bond length is 2.03 Å. The Cr(3)-O(4) bond length is 2.02 Å. The Cr(3)-O(5) bond length is 2.03 Å. The Cr(3)-O(7) bond length is 2.02 Å. Both Cr(3)-O(8) bond lengths are 2.03 Å. Al(1) is bonded to one O(1), one O(2), one O(5), one O(6), and two equivalent O(3) atoms to form AlO6 octahedra that share  a cornercorner with one Li(4)O6 octahedra, corners with two equivalent Li(5)O6 octahedra, corners with three equivalent Li(1)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra,  an edgeedge with one Al(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, and edges with three equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-7°. The Al(1)-O(1) bond length is 1.94 Å. The Al(1)-O(2) bond length is 1.95 Å. The Al(1)-O(5) bond length is 1.96 Å. The Al(1)-O(6) bond length is 1.94 Å. Both Al(1)-O(3) bond lengths are 1.95 Å. There are eight inequivalent O sites. In the first O site, O(1) is bonded to one Li(1), one Li(2), one Li(3), one Cr(1), one Cr(2), and one Al(1) atom to form OLi3AlCr2 octahedra that share  a cornercorner with one O(1)Li3AlCr2 octahedra,  a cornercorner with one O(4)Li3Cr3 octahedra, corners with two equivalent O(6)Li3AlCr2 octahedra, corners with two equivalent O(7)Li3Cr3 octahedra,  an edgeedge with one O(4)Li3Cr3 octahedra,  an edgeedge with one O(7)Li3Cr3 octahedra,  an edgeedge with one O(8)Li3Cr3 octahedra, edges with two equivalent O(2)Li3AlCr2 octahedra, edges with two equivalent O(5)Li3AlCr2 octahedra, edges with two equivalent O(6)Li3AlCr2 octahedra, and edges with three equivalent O(3)Li3Al2Cr octahedra. The corner-sharing octahedral tilt angles range from 0-2°. In the second O site, O(2) is bonded to one Li(1), one Li(2), one Li(4), one Cr(1), one Cr(3), and one Al(1) atom to form OLi3AlCr2 octahedra that share  a cornercorner with one O(3)Li3Al2Cr octahedra,  a cornercorner with one O(2)Li3AlCr2 octahedra, corners with two equivalent O(5)Li3AlCr2 octahedra, corners with two equivalent O(8)Li3Cr3 octahedra,  an edgeedge with one O(3)Li3Al2Cr octahedra,  an edgeedge with one O(5)Li3AlCr2 octahedra,  an edgeedge with one O(6)Li3AlCr2 octahedra, edges with two equivalent O(1)Li3AlCr2 octahedra, edges with two equivalent O(7)Li3Cr3 octahedra, edges with two equivalent O(8)Li3Cr3 octahedra, and edges with three equivalent O(4)Li3Cr3 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the third O site, O(3) is bonded to one Li(1), one Li(3), one Li(5), one Cr(2), and two equivalent Al(1) atoms to form OLi3Al2Cr octahedra that share  a cornercorner with one O(2)Li3AlCr2 octahedra,  a cornercorner with one O(8)Li3Cr3 octahedra, corners with two equivalent O(3)Li3Al2Cr octahedra, corners with two equivalent O(5)Li3AlCr2 octahedra,  an edgeedge with one O(3)Li3Al2Cr octahedra,  an edgeedge with one O(2)Li3AlCr2 octahedra,  an edgeedge with one O(7)Li3Cr3 octahedra, edges with two equivalent O(5)Li3AlCr2 octahedra, edges with three equivalent O(1)Li3AlCr2 octahedra, and edges with four equivalent O(6)Li3AlCr2 octahedra. The corner-sharing octahedral tilt angles range from 0-2°. In the fourth O site, O(4) is bonded to one Li(2), one Li(4), one Li(6), one Cr(3), and two equivalent Cr(1) atoms to form OLi3Cr3 octahedra that share  a cornercorner with one O(1)Li3AlCr2 octahedra,  a cornercorner with one O(6)Li3AlCr2 octahedra, corners with two equivalent O(4)Li3Cr3 octahedra, corners with two equivalent O(7)Li3Cr3 octahedra,  an edgeedge with one O(1)Li3AlCr2 octahedra,  an edgeedge with one O(5)Li3AlCr2 octahedra,  an edgeedge with one O(4)Li3Cr3 octahedra, edges with two equivalent O(7)Li3Cr3 octahedra, edges with three equivalent O(2)Li3AlCr2 octahedra, and edges with four equivalent O(8)Li3Cr3 octahedra. The corner-sharing octahedral tilt angles range from 0-2°. In the fifth O site, O(5) is bonded to one Li(1), one Li(2), one Li(5), one Cr(2), one Cr(3), and one Al(1) atom to form OLi3AlCr2 octahedra that share  a cornercorner with one O(5)Li3AlCr2 octahedra,  a cornercorner with one O(8)Li3Cr3 octahedra, corners with two equivalent O(3)Li3Al2Cr octahedra, corners with two equivalent O(2)Li3AlCr2 octahedra,  an edgeedge with one O(2)Li3AlCr2 octahedra,  an edgeedge with one O(4)Li3Cr3 octahedra,  an edgeedge with one O(8)Li3Cr3 octahedra, edges with two equivalent O(3)Li3Al2Cr octahedra, edges with two equivalent O(1)Li3AlCr2 octahedra, edges with two equivalent O(7)Li3Cr3 octahedra, and edges with three equivalent O(6)Li3AlCr2 octahedra. The corner-sharing octahedral tilt angles range from 0-3°. In the sixth O site, O(6) is bonded to one Li(2), one Li(3), one Li(5), two equivalent Cr(2), and one Al(1) atom to form OLi3AlCr2 octahedra that share  a cornercorner with one O(4)Li3Cr3 octahedra,  a cornercorner with one O(7)Li3Cr3 octahedra, corners with two equivalent O(1)Li3AlCr2 octahedra, corners with two equivalent O(6)Li3AlCr2 octahedra,  an edgeedge with one O(2)Li3AlCr2 octahedra,  an edgeedge with one O(6)Li3AlCr2 octahedra,  an edgeedge with one O(7)Li3Cr3 octahedra, edges with two equivalent O(1)Li3AlCr2 octahedra, edges with three equivalent O(5)Li3AlCr2 octahedra, and edges with four equivalent O(3)Li3Al2Cr octahedra. The corner-sharing octahedral tilt angles range from 0-2°. In the seventh O site, O(7) is bonded to one Li(1), one Li(2), one Li(6), one Cr(1), one Cr(2), and one Cr(3) atom to form OLi3Cr3 octahedra that share  a cornercorner with one O(6)Li3AlCr2 octahedra,  a cornercorner with one O(7)Li3Cr3 octahedra, corners with two equivalent O(1)Li3AlCr2 octahedra, corners with two equivalent O(4)Li3Cr3 octahedra,  an edgeedge with one O(3)Li3Al2Cr octahedra,  an edgeedge with one O(1)Li3AlCr2 octahedra,  an edgeedge with one O(6)Li3AlCr2 octahedra, edges with two equivalent O(2)Li3AlCr2 octahedra, edges with two equivalent O(5)Li3AlCr2 octahedra, edges with two equivalent O(4)Li3Cr3 octahedra, and edges with three equivalent O(8)Li3Cr3 octahedra. The corner-sharing octahedral tilt angles range from 0-2°. In the eighth O site, O(8) is bonded to one Li(1), one Li(4), one Li(6), one Cr(1), and two equivalent Cr(3) atoms to form OLi3Cr3 octahedra that share  a cornercorner with one O(3)Li3Al2Cr octahedra,  a cornercorner with one O(5)Li3AlCr2 octahedra, corners with two equivalent O(2)Li3AlCr2 octahedra, corners with two equivalent O(8)Li3Cr3 octahedra,  an edgeedge with one O(1)Li3AlCr2 octahedra,  an edgeedge with one O(5)Li3AlCr2 octahedra,  an edgeedge with one O(8)Li3Cr3 octahedra, edges with two equivalent O(2)Li3AlCr2 octahedra, edges with three equivalent O(7)Li3Cr3 octahedra, and edges with four equivalent O(4)Li3Cr3 octahedra. The corner-sharing octahedral tilt angles range from 0-2°.