Li4TiCrO6 is beta Polonium-derived structured and crystallizes in the monoclinic C2 space group. There are nine inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(1), one O(12), one O(4), one O(5), one O(6), and one O(8) atom to form LiO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(8)O6 octahedra,  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Cr(3)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra, edges with three equivalent Li(3)O6 octahedra, and edges with three equivalent Li(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-9°. In the second Li site, Li(2) is bonded to one O(11), one O(12), one O(3), one O(5), one O(6), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Li(6)O6 octahedra,  a cornercorner with one Li(7)O6 octahedra,  an edgeedge with one Li(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 Li(7)O6 octahedra, edges with three equivalent Ti(3)O6 octahedra, and edges with three equivalent Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-10°. In the third Li site, Li(3) is bonded to one O(1), one O(12), one O(4), one O(5), one O(6), and one O(8) atom to form LiO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(8)O6 octahedra,  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Cr(3)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra, edges with three equivalent Li(1)O6 octahedra, and edges with three equivalent Li(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-9°. In the fourth Li site, Li(4) is bonded to one O(10), one O(11), one O(2), one O(3), one O(7), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(9)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(3)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra, edges with three equivalent Li(5)O6 octahedra, and edges with three equivalent Li(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-9°. In the fifth Li site, Li(5) is bonded to one O(10), one O(11), one O(2), one O(3), one O(7), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(9)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(3)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra, edges with three equivalent Li(4)O6 octahedra, and edges with three equivalent Li(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-10°. In the sixth Li site, Li(6) is bonded to one O(10), one O(11), one O(2), one O(3), one O(7), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(9)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(3)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra, edges with three equivalent Li(4)O6 octahedra, and edges with three equivalent Li(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-10°. In the seventh Li site, Li(7) is bonded to one O(1), one O(12), one O(4), one O(5), one O(6), and one O(8) atom to form LiO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(8)O6 octahedra,  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Cr(3)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra, edges with three equivalent Li(1)O6 octahedra, and edges with three equivalent Li(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-10°. In the eighth Li site, Li(8) is bonded to two equivalent O(1), two equivalent O(4), and two equivalent O(8) atoms to form LiO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(3)O6 octahedra, corners with two equivalent Li(7)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(7)O6 octahedra, edges with three equivalent Ti(1)O6 octahedra, and edges with three equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-10°. In the ninth Li site, Li(9) is bonded to two equivalent O(10), two equivalent O(2), and two equivalent O(7) atoms to form LiO6 octahedra that share corners with two equivalent Li(4)O6 octahedra, corners with two equivalent Li(5)O6 octahedra, corners with two equivalent Li(6)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, edges with two equivalent Li(6)O6 octahedra, edges with three equivalent Ti(2)O6 octahedra, and edges with three equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-9°. There are three inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to two equivalent O(1), two equivalent O(4), and two equivalent O(8) atoms to form TiO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(3)O6 octahedra, corners with two equivalent Li(7)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(7)O6 octahedra, edges with three equivalent Li(8)O6 octahedra, and edges with three equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-8°. In the second Ti site, Ti(2) is bonded to two equivalent O(10), two equivalent O(2), and two equivalent O(7) atoms to form TiO6 octahedra that share corners with two equivalent Li(4)O6 octahedra, corners with two equivalent Li(5)O6 octahedra, corners with two equivalent Li(6)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, edges with two equivalent Li(6)O6 octahedra, edges with three equivalent Li(9)O6 octahedra, and edges with three equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-9°. In the third Ti site, Ti(3) is bonded to one O(11), one O(12), one O(3), one O(5), one O(6), and one O(9) atom to form TiO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Li(6)O6 octahedra,  a cornercorner with one Li(7)O6 octahedra,  an edgeedge with one Li(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 Li(7)O6 octahedra, edges with three equivalent Li(2)O6 octahedra, and edges with three equivalent Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-10°. There are three inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to two equivalent O(10), two equivalent O(2), and two equivalent O(7) atoms to form CrO6 octahedra that share corners with two equivalent Li(4)O6 octahedra, corners with two equivalent Li(5)O6 octahedra, corners with two equivalent Li(6)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, edges with two equivalent Li(6)O6 octahedra, edges with three equivalent Li(9)O6 octahedra, and edges with three equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-7°. In the second Cr site, Cr(2) is bonded to two equivalent O(1), two equivalent O(4), and two equivalent O(8) atoms to form CrO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(3)O6 octahedra, corners with two equivalent Li(7)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(7)O6 octahedra, edges with three equivalent Li(8)O6 octahedra, and edges with three equivalent Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-7°. In the third Cr site, Cr(3) is bonded to one O(11), one O(12), one O(3), one O(5), one O(6), and one O(9) atom to form CrO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Li(6)O6 octahedra,  a cornercorner with one Li(7)O6 octahedra,  an edgeedge with one Li(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 Li(7)O6 octahedra, edges with three equivalent Li(2)O6 octahedra, and edges with three equivalent Ti(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-7°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded to one Li(1), one Li(3), one Li(7), one Li(8), one Ti(1), and one Cr(2) atom to form a mixture of corner and edge-sharing OLi4TiCr octahedra. The corner-sharing octahedral tilt angles range from 0-7°. In the second O site, O(2) is bonded to one Li(4), one Li(5), one Li(6), one Li(9), one Ti(2), and one Cr(1) atom to form a mixture of corner and edge-sharing OLi4TiCr octahedra. The corner-sharing octahedral tilt angles range from 1-7°. In the third O site, O(3) is bonded to one Li(2), one Li(4), one Li(5), one Li(6), one Ti(3), and one Cr(3) atom to form a mixture of corner and edge-sharing OLi4TiCr octahedra. The corner-sharing octahedral tilt angles range from 1-8°. In the fourth O site, O(4) is bonded to one Li(1), one Li(3), one Li(7), one Li(8), one Ti(1), and one Cr(2) atom to form a mixture of corner and edge-sharing OLi4TiCr octahedra. The corner-sharing octahedral tilt angles range from 1-7°. In the fifth O site, O(5) is bonded to one Li(1), one Li(2), one Li(3), one Li(7), one Ti(3), and one Cr(3) atom to form a mixture of corner and edge-sharing OLi4TiCr octahedra. The corner-sharing octahedral tilt angles range from 1-7°. In the sixth O site, O(6) is bonded to one Li(1), one Li(2), one Li(3), one Li(7), one Ti(3), and one Cr(3) atom to form a mixture of corner and edge-sharing OLi4TiCr octahedra. The corner-sharing octahedral tilt angles range from 1-7°. In the seventh O site, O(7) is bonded to one Li(4), one Li(5), one Li(6), one Li(9), one Ti(2), and one Cr(1) atom to form a mixture of corner and edge-sharing OLi4TiCr octahedra. The corner-sharing octahedral tilt angles range from 0-8°. In the eighth O site, O(8) is bonded to one Li(1), one Li(3), one Li(7), one Li(8), one Ti(1), and one Cr(2) atom to form a mixture of corner and edge-sharing OLi4TiCr octahedra. The corner-sharing octahedral tilt angles range from 1-7°. In the ninth O site, O(9) is bonded to one Li(2), one Li(4), one Li(5), one Li(6), one Ti(3), and one Cr(3) atom to form a mixture of corner and edge-sharing OLi4TiCr octahedra. The corner-sharing octahedral tilt angles range from 0-8°. In the tenth O site, O(10) is bonded to one Li(4), one Li(5), one Li(6), one Li(9), one Ti(2), and one Cr(1) atom to form a mixture of corner and edge-sharing OLi4TiCr octahedra. The corner-sharing octahedral tilt angles range from 1-8°. In the eleventh O site, O(11) is bonded to one Li(2), one Li(4), one Li(5), one Li(6), one Ti(3), and one Cr(3) atom to form a mixture of corner and edge-sharing OLi4TiCr octahedra. The corner-sharing octahedral tilt angles range from 1-7°. In the twelfth O site, O(12) is bonded to one Li(1), one Li(2), one Li(3), one Li(7), one Ti(3), and one Cr(3) atom to form a mixture of corner and edge-sharing OLi4TiCr octahedra. The corner-sharing octahedral tilt angles range from 0-7°.
Li4TiCrO6 is beta Polonium-derived structured and crystallizes in the monoclinic C2 space group. There are nine inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(1), one O(12), one O(4), one O(5), one O(6), and one O(8) atom to form LiO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(8)O6 octahedra,  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Cr(3)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra, edges with three equivalent Li(3)O6 octahedra, and edges with three equivalent Li(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-9°. The Li(1)-O(1) bond length is 2.04 Å. The Li(1)-O(12) bond length is 2.04 Å. The Li(1)-O(4) bond length is 2.17 Å. The Li(1)-O(5) bond length is 2.20 Å. The Li(1)-O(6) bond length is 2.17 Å. The Li(1)-O(8) bond length is 2.21 Å. In the second Li site, Li(2) is bonded to one O(11), one O(12), one O(3), one O(5), one O(6), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Li(6)O6 octahedra,  a cornercorner with one Li(7)O6 octahedra,  an edgeedge with one Li(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 Li(7)O6 octahedra, edges with three equivalent Ti(3)O6 octahedra, and edges with three equivalent Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-10°. The Li(2)-O(11) bond length is 2.11 Å. The Li(2)-O(12) bond length is 2.13 Å. The Li(2)-O(3) bond length is 2.12 Å. The Li(2)-O(5) bond length is 2.11 Å. The Li(2)-O(6) bond length is 2.10 Å. The Li(2)-O(9) bond length is 2.11 Å. In the third Li site, Li(3) is bonded to one O(1), one O(12), one O(4), one O(5), one O(6), and one O(8) atom to form LiO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(8)O6 octahedra,  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Cr(3)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra, edges with three equivalent Li(1)O6 octahedra, and edges with three equivalent Li(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-9°. The Li(3)-O(1) bond length is 2.14 Å. The Li(3)-O(12) bond length is 2.14 Å. The Li(3)-O(4) bond length is 2.23 Å. The Li(3)-O(5) bond length is 2.09 Å. The Li(3)-O(6) bond length is 2.22 Å. The Li(3)-O(8) bond length is 2.09 Å. In the fourth Li site, Li(4) is bonded to one O(10), one O(11), one O(2), one O(3), one O(7), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(9)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(3)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra, edges with three equivalent Li(5)O6 octahedra, and edges with three equivalent Li(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-9°. The Li(4)-O(10) bond length is 2.19 Å. The Li(4)-O(11) bond length is 2.03 Å. The Li(4)-O(2) bond length is 2.04 Å. The Li(4)-O(3) bond length is 2.17 Å. The Li(4)-O(7) bond length is 2.19 Å. The Li(4)-O(9) bond length is 2.23 Å. In the fifth Li site, Li(5) is bonded to one O(10), one O(11), one O(2), one O(3), one O(7), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(9)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(3)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra, edges with three equivalent Li(4)O6 octahedra, and edges with three equivalent Li(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-10°. The Li(5)-O(10) bond length is 2.10 Å. The Li(5)-O(11) bond length is 2.14 Å. The Li(5)-O(2) bond length is 2.17 Å. The Li(5)-O(3) bond length is 2.26 Å. The Li(5)-O(7) bond length is 2.16 Å. The Li(5)-O(9) bond length is 2.08 Å. In the sixth Li site, Li(6) is bonded to one O(10), one O(11), one O(2), one O(3), one O(7), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(9)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(3)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra, edges with three equivalent Li(4)O6 octahedra, and edges with three equivalent Li(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-10°. The Li(6)-O(10) bond length is 2.26 Å. The Li(6)-O(11) bond length is 2.15 Å. The Li(6)-O(2) bond length is 2.14 Å. The Li(6)-O(3) bond length is 2.09 Å. The Li(6)-O(7) bond length is 2.08 Å. The Li(6)-O(9) bond length is 2.16 Å. In the seventh Li site, Li(7) is bonded to one O(1), one O(12), one O(4), one O(5), one O(6), and one O(8) atom to form LiO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(8)O6 octahedra,  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Cr(3)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra, edges with three equivalent Li(1)O6 octahedra, and edges with three equivalent Li(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-10°. The Li(7)-O(1) bond length is 2.17 Å. The Li(7)-O(12) bond length is 2.20 Å. The Li(7)-O(4) bond length is 2.08 Å. The Li(7)-O(5) bond length is 2.19 Å. The Li(7)-O(6) bond length is 2.08 Å. The Li(7)-O(8) bond length is 2.19 Å. In the eighth Li site, Li(8) is bonded to two equivalent O(1), two equivalent O(4), and two equivalent O(8) atoms to form LiO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(3)O6 octahedra, corners with two equivalent Li(7)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(7)O6 octahedra, edges with three equivalent Ti(1)O6 octahedra, and edges with three equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-10°. Both Li(8)-O(1) bond lengths are 2.12 Å. Both Li(8)-O(4) bond lengths are 2.12 Å. Both Li(8)-O(8) bond lengths are 2.10 Å. In the ninth Li site, Li(9) is bonded to two equivalent O(10), two equivalent O(2), and two equivalent O(7) atoms to form LiO6 octahedra that share corners with two equivalent Li(4)O6 octahedra, corners with two equivalent Li(5)O6 octahedra, corners with two equivalent Li(6)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, edges with two equivalent Li(6)O6 octahedra, edges with three equivalent Ti(2)O6 octahedra, and edges with three equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-9°. Both Li(9)-O(10) bond lengths are 2.12 Å. Both Li(9)-O(2) bond lengths are 2.12 Å. Both Li(9)-O(7) bond lengths are 2.10 Å. There are three inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to two equivalent O(1), two equivalent O(4), and two equivalent O(8) atoms to form TiO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(3)O6 octahedra, corners with two equivalent Li(7)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(7)O6 octahedra, edges with three equivalent Li(8)O6 octahedra, and edges with three equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-8°. Both Ti(1)-O(1) bond lengths are 1.98 Å. Both Ti(1)-O(4) bond lengths are 1.98 Å. Both Ti(1)-O(8) bond lengths are 1.97 Å. In the second Ti site, Ti(2) is bonded to two equivalent O(10), two equivalent O(2), and two equivalent O(7) atoms to form TiO6 octahedra that share corners with two equivalent Li(4)O6 octahedra, corners with two equivalent Li(5)O6 octahedra, corners with two equivalent Li(6)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, edges with two equivalent Li(6)O6 octahedra, edges with three equivalent Li(9)O6 octahedra, and edges with three equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-9°. Both Ti(2)-O(10) bond lengths are 1.98 Å. Both Ti(2)-O(2) bond lengths are 1.98 Å. Both Ti(2)-O(7) bond lengths are 1.96 Å. In the third Ti site, Ti(3) is bonded to one O(11), one O(12), one O(3), one O(5), one O(6), and one O(9) atom to form TiO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Li(6)O6 octahedra,  a cornercorner with one Li(7)O6 octahedra,  an edgeedge with one Li(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 Li(7)O6 octahedra, edges with three equivalent Li(2)O6 octahedra, and edges with three equivalent Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-10°. The Ti(3)-O(11) bond length is 1.96 Å. The Ti(3)-O(12) bond length is 2.00 Å. The Ti(3)-O(3) bond length is 1.98 Å. The Ti(3)-O(5) bond length is 1.95 Å. The Ti(3)-O(6) bond length is 1.98 Å. The Ti(3)-O(9) bond length is 1.99 Å. There are three inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to two equivalent O(10), two equivalent O(2), and two equivalent O(7) atoms to form CrO6 octahedra that share corners with two equivalent Li(4)O6 octahedra, corners with two equivalent Li(5)O6 octahedra, corners with two equivalent Li(6)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, edges with two equivalent Li(6)O6 octahedra, edges with three equivalent Li(9)O6 octahedra, and edges with three equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-7°. Both Cr(1)-O(10) bond lengths are 1.93 Å. Both Cr(1)-O(2) bond lengths are 1.96 Å. Both Cr(1)-O(7) bond lengths are 1.97 Å. In the second Cr site, Cr(2) is bonded to two equivalent O(1), two equivalent O(4), and two equivalent O(8) atoms to form CrO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(3)O6 octahedra, corners with two equivalent Li(7)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(7)O6 octahedra, edges with three equivalent Li(8)O6 octahedra, and edges with three equivalent Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-7°. Both Cr(2)-O(1) bond lengths are 1.96 Å. Both Cr(2)-O(4) bond lengths are 1.92 Å. Both Cr(2)-O(8) bond lengths are 1.97 Å. In the third Cr site, Cr(3) is bonded to one O(11), one O(12), one O(3), one O(5), one O(6), and one O(9) atom to form CrO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Li(6)O6 octahedra,  a cornercorner with one Li(7)O6 octahedra,  an edgeedge with one Li(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 Li(7)O6 octahedra, edges with three equivalent Li(2)O6 octahedra, and edges with three equivalent Ti(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-7°. The Cr(3)-O(11) bond length is 2.00 Å. The Cr(3)-O(12) bond length is 1.93 Å. The Cr(3)-O(3) bond length is 1.92 Å. The Cr(3)-O(5) bond length is 1.98 Å. The Cr(3)-O(6) bond length is 1.96 Å. The Cr(3)-O(9) bond length is 1.94 Å. There are twelve inequivalent O sites. In the first O site, O(1) is bonded to one Li(1), one Li(3), one Li(7), one Li(8), one Ti(1), and one Cr(2) atom to form a mixture of corner and edge-sharing OLi4TiCr octahedra. The corner-sharing octahedral tilt angles range from 0-7°. In the second O site, O(2) is bonded to one Li(4), one Li(5), one Li(6), one Li(9), one Ti(2), and one Cr(1) atom to form a mixture of corner and edge-sharing OLi4TiCr octahedra. The corner-sharing octahedral tilt angles range from 1-7°. In the third O site, O(3) is bonded to one Li(2), one Li(4), one Li(5), one Li(6), one Ti(3), and one Cr(3) atom to form a mixture of corner and edge-sharing OLi4TiCr octahedra. The corner-sharing octahedral tilt angles range from 1-8°. In the fourth O site, O(4) is bonded to one Li(1), one Li(3), one Li(7), one Li(8), one Ti(1), and one Cr(2) atom to form a mixture of corner and edge-sharing OLi4TiCr octahedra. The corner-sharing octahedral tilt angles range from 1-7°. In the fifth O site, O(5) is bonded to one Li(1), one Li(2), one Li(3), one Li(7), one Ti(3), and one Cr(3) atom to form a mixture of corner and edge-sharing OLi4TiCr octahedra. The corner-sharing octahedral tilt angles range from 1-7°. In the sixth O site, O(6) is bonded to one Li(1), one Li(2), one Li(3), one Li(7), one Ti(3), and one Cr(3) atom to form a mixture of corner and edge-sharing OLi4TiCr octahedra. The corner-sharing octahedral tilt angles range from 1-7°. In the seventh O site, O(7) is bonded to one Li(4), one Li(5), one Li(6), one Li(9), one Ti(2), and one Cr(1) atom to form a mixture of corner and edge-sharing OLi4TiCr octahedra. The corner-sharing octahedral tilt angles range from 0-8°. In the eighth O site, O(8) is bonded to one Li(1), one Li(3), one Li(7), one Li(8), one Ti(1), and one Cr(2) atom to form a mixture of corner and edge-sharing OLi4TiCr octahedra. The corner-sharing octahedral tilt angles range from 1-7°. In the ninth O site, O(9) is bonded to one Li(2), one Li(4), one Li(5), one Li(6), one Ti(3), and one Cr(3) atom to form a mixture of corner and edge-sharing OLi4TiCr octahedra. The corner-sharing octahedral tilt angles range from 0-8°. In the tenth O site, O(10) is bonded to one Li(4), one Li(5), one Li(6), one Li(9), one Ti(2), and one Cr(1) atom to form a mixture of corner and edge-sharing OLi4TiCr octahedra. The corner-sharing octahedral tilt angles range from 1-8°. In the eleventh O site, O(11) is bonded to one Li(2), one Li(4), one Li(5), one Li(6), one Ti(3), and one Cr(3) atom to form a mixture of corner and edge-sharing OLi4TiCr octahedra. The corner-sharing octahedral tilt angles range from 1-7°. In the twelfth O site, O(12) is bonded to one Li(1), one Li(2), one Li(3), one Li(7), one Ti(3), and one Cr(3) atom to form a mixture of corner and edge-sharing OLi4TiCr octahedra. The corner-sharing octahedral tilt angles range from 0-7°.