The compound described by Li3Ti2CrO6 is alpha Po-derived structured and crystallizes in the triclinic P1 space group. There are twelve inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(13), one O(17), one O(20), one O(21), one O(22), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ti(5)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Cr(3)O6 octahedra,  a cornercorner with one Cr(4)O6 octahedra,  an edgeedge with one Li(10)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra, and  an edgeedge with one Cr(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-7°. In the second Li site, Li(2) is bonded to one O(10), one O(14), one O(17), one O(18), one O(22), and one O(23) atom to form LiO6 octahedra that share  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Ti(6)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Cr(3)O6 octahedra,  a cornercorner with one Cr(4)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(10)O6 octahedra,  an edgeedge with one Li(11)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra,  an edgeedge with one Ti(7)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra, and  an edgeedge with one Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-6°. In the third Li site, Li(3) is bonded to one O(11), one O(15), one O(18), one O(19), one O(23), and one O(24) atom to form LiO6 octahedra that share  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Ti(7)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Cr(3)O6 octahedra,  a cornercorner with one Cr(4)O6 octahedra,  an edgeedge with one Li(11)O6 octahedra,  an edgeedge with one Li(12)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Ti(7)O6 octahedra,  an edgeedge with one Ti(8)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, and  an edgeedge with one Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-6°. In the fourth Li site, Li(4) is bonded to one O(12), one O(16), one O(19), one O(20), one O(21), and one O(24) atom to form LiO6 octahedra that share  a cornercorner with one Ti(4)O6 octahedra,  a cornercorner with one Ti(8)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Cr(3)O6 octahedra,  a cornercorner with one Cr(4)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(12)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra,  an edgeedge with one Ti(8)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra, and  an edgeedge with one Cr(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-7°. In the fifth Li site, Li(5) is bonded to one O(1), one O(13), one O(14), one O(17), one O(4), and one O(5) atom to form LiO6 octahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Ti(4)O6 octahedra,  a cornercorner with one Ti(6)O6 octahedra,  a cornercorner with one Cr(4)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(12)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra, and  an edgeedge with one Cr(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-8°. In the sixth Li site, Li(6) is bonded to one O(1), one O(14), one O(15), one O(18), one O(2), and one O(6) atom to form LiO6 octahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Ti(4)O6 octahedra,  a cornercorner with one Ti(7)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra,  an edgeedge with one Li(10)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra,  an edgeedge with one Ti(7)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra, and  an edgeedge with one Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-6°. In the seventh Li site, Li(7) is bonded to one O(15), one O(16), one O(19), one O(2), one O(3), and one O(7) atom to form LiO6 octahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Ti(4)O6 octahedra,  a cornercorner with one Ti(8)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  an edgeedge with one Li(10)O6 octahedra,  an edgeedge with one Li(11)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Ti(7)O6 octahedra,  an edgeedge with one Ti(8)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, and  an edgeedge with one Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-6°. In the eighth Li site, Li(8) is bonded to one O(13), one O(16), one O(20), one O(3), one O(4), and one O(8) atom to form LiO6 octahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Ti(4)O6 octahedra,  a cornercorner with one Ti(5)O6 octahedra,  a cornercorner with one Cr(3)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(11)O6 octahedra,  an edgeedge with one Li(12)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra,  an edgeedge with one Ti(8)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra, and  an edgeedge with one Cr(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-7°. In the ninth Li site, Li(9) is bonded to one O(1), one O(12), one O(21), one O(5), one O(6), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Ti(4)O6 octahedra,  a cornercorner with one Ti(5)O6 octahedra,  a cornercorner with one Ti(6)O6 octahedra,  a cornercorner with one Ti(7)O6 octahedra,  a cornercorner with one Ti(8)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(10)O6 octahedra,  an edgeedge with one Li(12)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 Ti(1)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra, and  an edgeedge with one Cr(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-6°. In the tenth Li site, Li(10) is bonded to one O(10), one O(2), one O(22), one O(6), one O(7), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ti(5)O6 octahedra,  a cornercorner with one Ti(6)O6 octahedra,  a cornercorner with one Ti(7)O6 octahedra,  a cornercorner with one Ti(8)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(11)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra,  an edgeedge with one Ti(7)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra, and  an edgeedge with one Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-7°. In the eleventh Li site, Li(11) is bonded to one O(10), one O(11), one O(23), one O(3), one O(7), and one O(8) atom to form LiO6 octahedra that share  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Ti(5)O6 octahedra,  a cornercorner with one Ti(6)O6 octahedra,  a cornercorner with one Ti(7)O6 octahedra,  a cornercorner with one Ti(8)O6 octahedra,  a cornercorner with one Cr(3)O6 octahedra,  an edgeedge with one Li(10)O6 octahedra,  an edgeedge with one Li(12)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Ti(7)O6 octahedra,  an edgeedge with one Ti(8)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, and  an edgeedge with one Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-7°. In the twelfth Li site, Li(12) is bonded to one O(11), one O(12), one O(24), one O(4), one O(5), and one O(8) atom to form LiO6 octahedra that share  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Ti(5)O6 octahedra,  a cornercorner with one Ti(6)O6 octahedra,  a cornercorner with one Ti(7)O6 octahedra,  a cornercorner with one Ti(8)O6 octahedra,  a cornercorner with one Cr(4)O6 octahedra,  an edgeedge with one Li(11)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(8)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra,  an edgeedge with one Ti(8)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra, and  an edgeedge with one Cr(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-6°. There are eight inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(1), one O(13), one O(14), one O(2), one O(22), and one O(9) atom to form TiO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(10)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,  a cornercorner with one Li(8)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(10)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra, and  an edgeedge with one Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-5°. In the second Ti site, Ti(2) is bonded to one O(10), one O(14), one O(15), one O(2), one O(23), and one O(3) atom to form TiO6 octahedra that share  a cornercorner with one Li(11)O6 octahedra,  a cornercorner with one Li(2)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,  a cornercorner with one Li(8)O6 octahedra,  an edgeedge with one Li(10)O6 octahedra,  an edgeedge with one Li(11)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra,  an edgeedge with one Ti(7)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, and  an edgeedge with one Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-5°. In the third Ti site, Ti(3) is bonded to one O(11), one O(15), one O(16), one O(24), one O(3), and one O(4) atom to form TiO6 octahedra that share  a cornercorner with one Li(12)O6 octahedra,  a cornercorner with one Li(3)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,  a cornercorner with one Li(8)O6 octahedra,  an edgeedge with one Li(11)O6 octahedra,  an edgeedge with one Li(12)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Ti(7)O6 octahedra,  an edgeedge with one Ti(8)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra, and  an edgeedge with one Cr(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-6°. In the fourth Ti site, Ti(4) is bonded to one O(1), one O(12), one O(13), one O(16), one O(21), and one O(4) atom to form TiO6 octahedra that share  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,  a cornercorner with one Li(8)O6 octahedra,  a cornercorner with one Li(9)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(12)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra,  an edgeedge with one Ti(8)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra, and  an edgeedge with one Cr(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-6°. In the fifth Ti site, Ti(5) is bonded to one O(12), one O(13), one O(20), one O(5), one O(8), and one O(9) atom to form TiO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(10)O6 octahedra,  a cornercorner with one Li(11)O6 octahedra,  a cornercorner with one Li(12)O6 octahedra,  a cornercorner with one Li(8)O6 octahedra,  a cornercorner with one Li(9)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(12)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra,  an edgeedge with one Ti(8)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra, and  an edgeedge with one Cr(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-6°. In the sixth Ti site, Ti(6) is bonded to one O(10), one O(14), one O(17), one O(5), one O(6), and one O(9) atom to form TiO6 octahedra that share  a cornercorner with one Li(10)O6 octahedra,  a cornercorner with one Li(11)O6 octahedra,  a cornercorner with one Li(12)O6 octahedra,  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Li(9)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(10)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra,  an edgeedge with one Ti(7)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra, and  an edgeedge with one Cr(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-5°. In the seventh Ti site, Ti(7) is bonded to one O(10), one O(11), one O(15), one O(18), one O(6), and one O(7) atom to form TiO6 octahedra that share  a cornercorner with one Li(10)O6 octahedra,  a cornercorner with one Li(11)O6 octahedra,  a cornercorner with one Li(12)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(6)O6 octahedra,  a cornercorner with one Li(9)O6 octahedra,  an edgeedge with one Li(10)O6 octahedra,  an edgeedge with one Li(11)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra,  an edgeedge with one Ti(8)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra, and  an edgeedge with one Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-6°. In the eighth Ti site, Ti(8) is bonded to one O(11), one O(12), one O(16), one O(19), one O(7), and one O(8) atom to form TiO6 octahedra that share  a cornercorner with one Li(10)O6 octahedra,  a cornercorner with one Li(11)O6 octahedra,  a cornercorner with one Li(12)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(7)O6 octahedra,  a cornercorner with one Li(9)O6 octahedra,  an edgeedge with one Li(11)O6 octahedra,  an edgeedge with one Li(12)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra,  an edgeedge with one Ti(7)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, and  an edgeedge with one Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-6°. There are four inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(1), one O(17), one O(18), one O(21), one O(22), and one O(6) atom to form CrO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(6)O6 octahedra,  a cornercorner with one Li(9)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(10)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra,  an edgeedge with one Ti(7)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, and  an edgeedge with one Cr(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-6°. In the second Cr site, Cr(2) is bonded to one O(18), one O(19), one O(2), one O(22), one O(23), and one O(7) atom to form CrO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(10)O6 octahedra,  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(7)O6 octahedra,  an edgeedge with one Li(10)O6 octahedra,  an edgeedge with one Li(11)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(7)O6 octahedra,  an edgeedge with one Ti(8)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra, and  an edgeedge with one Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-7°. In the third Cr site, Cr(3) is bonded to one O(19), one O(20), one O(23), one O(24), one O(3), and one O(8) atom to form CrO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(11)O6 octahedra,  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(8)O6 octahedra,  an edgeedge with one Li(11)O6 octahedra,  an edgeedge with one Li(12)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra,  an edgeedge with one Ti(8)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, and  an edgeedge with one Cr(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-7°. In the fourth Cr site, Cr(4) is bonded to one O(17), one O(20), one O(21), one O(24), one O(4), and one O(5) atom to form CrO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(12)O6 octahedra,  a cornercorner with one Li(2)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,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(12)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra, and  an edgeedge with one Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-8°. There are twenty-four inequivalent O sites. In the first O site, O(1) is bonded to one Li(5), one Li(6), one Li(9), one Ti(1), one Ti(4), and one Cr(1) atom to form OLi3Ti2Cr octahedra that share  a cornercorner with one O(6)Li3Ti2Cr octahedra,  a cornercorner with one O(13)Li3Ti3 octahedra,  a cornercorner with one O(14)Li3Ti3 octahedra,  a cornercorner with one O(15)Li3Ti3 octahedra,  a cornercorner with one O(16)Li3Ti3 octahedra,  a cornercorner with one O(21)Li3TiCr2 octahedra,  an edgeedge with one O(2)Li3Ti2Cr octahedra,  an edgeedge with one O(4)Li3Ti2Cr octahedra,  an edgeedge with one O(5)Li3Ti2Cr octahedra,  an edgeedge with one O(6)Li3Ti2Cr octahedra,  an edgeedge with one O(12)Li3Ti3 octahedra,  an edgeedge with one O(13)Li3Ti3 octahedra,  an edgeedge with one O(14)Li3Ti3 octahedra,  an edgeedge with one O(9)Li3Ti3 octahedra,  an edgeedge with one O(17)Li3TiCr2 octahedra,  an edgeedge with one O(18)Li3TiCr2 octahedra,  an edgeedge with one O(21)Li3TiCr2 octahedra, and  an edgeedge with one O(22)Li3TiCr2 octahedra. The corner-sharing octahedral tilt angles range from 0-6°. In the second O site, O(2) is bonded to one Li(10), one Li(6), one Li(7), one Ti(1), one Ti(2), and one Cr(2) atom to form OLi3Ti2Cr octahedra that share  a cornercorner with one O(7)Li3Ti2Cr octahedra,  a cornercorner with one O(13)Li3Ti3 octahedra,  a cornercorner with one O(14)Li3Ti3 octahedra,  a cornercorner with one O(15)Li3Ti3 octahedra,  a cornercorner with one O(16)Li3Ti3 octahedra,  a cornercorner with one O(22)Li3TiCr2 octahedra,  an edgeedge with one O(1)Li3Ti2Cr octahedra,  an edgeedge with one O(3)Li3Ti2Cr octahedra,  an edgeedge with one O(6)Li3Ti2Cr octahedra,  an edgeedge with one O(7)Li3Ti2Cr octahedra,  an edgeedge with one O(10)Li3Ti3 octahedra,  an edgeedge with one O(14)Li3Ti3 octahedra,  an edgeedge with one O(15)Li3Ti3 octahedra,  an edgeedge with one O(9)Li3Ti3 octahedra,  an edgeedge with one O(18)Li3TiCr2 octahedra,  an edgeedge with one O(19)Li3TiCr2 octahedra,  an edgeedge with one O(22)Li3TiCr2 octahedra, and  an edgeedge with one O(23)Li3TiCr2 octahedra. The corner-sharing octahedral tilt angles range from 1-6°. In the third O site, O(3) is bonded to one Li(11), one Li(7), one Li(8), one Ti(2), one Ti(3), and one Cr(3) atom to form OLi3Ti2Cr octahedra that share  a cornercorner with one O(8)Li3Ti2Cr octahedra,  a cornercorner with one O(13)Li3Ti3 octahedra,  a cornercorner with one O(14)Li3Ti3 octahedra,  a cornercorner with one O(15)Li3Ti3 octahedra,  a cornercorner with one O(16)Li3Ti3 octahedra,  a cornercorner with one O(23)Li3TiCr2 octahedra,  an edgeedge with one O(2)Li3Ti2Cr octahedra,  an edgeedge with one O(4)Li3Ti2Cr octahedra,  an edgeedge with one O(7)Li3Ti2Cr octahedra,  an edgeedge with one O(8)Li3Ti2Cr octahedra,  an edgeedge with one O(10)Li3Ti3 octahedra,  an edgeedge with one O(11)Li3Ti3 octahedra,  an edgeedge with one O(15)Li3Ti3 octahedra,  an edgeedge with one O(16)Li3Ti3 octahedra,  an edgeedge with one O(19)Li3TiCr2 octahedra,  an edgeedge with one O(20)Li3TiCr2 octahedra,  an edgeedge with one O(23)Li3TiCr2 octahedra, and  an edgeedge with one O(24)Li3TiCr2 octahedra. The corner-sharing octahedral tilt angles range from 0-8°. In the fourth O site, O(4) is bonded to one Li(12), one Li(5), one Li(8), one Ti(3), one Ti(4), and one Cr(4) atom to form OLi3Ti2Cr octahedra that share  a cornercorner with one O(5)Li3Ti2Cr octahedra,  a cornercorner with one O(13)Li3Ti3 octahedra,  a cornercorner with one O(14)Li3Ti3 octahedra,  a cornercorner with one O(15)Li3Ti3 octahedra,  a cornercorner with one O(16)Li3Ti3 octahedra,  a cornercorner with one O(24)Li3TiCr2 octahedra,  an edgeedge with one O(1)Li3Ti2Cr octahedra,  an edgeedge with one O(3)Li3Ti2Cr octahedra,  an edgeedge with one O(5)Li3Ti2Cr octahedra,  an edgeedge with one O(8)Li3Ti2Cr octahedra,  an edgeedge with one O(11)Li3Ti3 octahedra,  an edgeedge with one O(12)Li3Ti3 octahedra,  an edgeedge with one O(13)Li3Ti3 octahedra,  an edgeedge with one O(16)Li3Ti3 octahedra,  an edgeedge with one O(17)Li3TiCr2 octahedra,  an edgeedge with one O(20)Li3TiCr2 octahedra,  an edgeedge with one O(21)Li3TiCr2 octahedra, and  an edgeedge with one O(24)Li3TiCr2 octahedra. The corner-sharing octahedral tilt angles range from 1-8°. In the fifth O site, O(5) is bonded to one Li(12), one Li(5), one Li(9), one Ti(5), one Ti(6), and one Cr(4) atom to form OLi3Ti2Cr octahedra that share  a cornercorner with one O(4)Li3Ti2Cr octahedra,  a cornercorner with one O(10)Li3Ti3 octahedra,  a cornercorner with one O(11)Li3Ti3 octahedra,  a cornercorner with one O(12)Li3Ti3 octahedra,  a cornercorner with one O(9)Li3Ti3 octahedra,  a cornercorner with one O(17)Li3TiCr2 octahedra,  an edgeedge with one O(1)Li3Ti2Cr octahedra,  an edgeedge with one O(4)Li3Ti2Cr octahedra,  an edgeedge with one O(6)Li3Ti2Cr octahedra,  an edgeedge with one O(8)Li3Ti2Cr octahedra,  an edgeedge with one O(12)Li3Ti3 octahedra,  an edgeedge with one O(13)Li3Ti3 octahedra,  an edgeedge with one O(14)Li3Ti3 octahedra,  an edgeedge with one O(9)Li3Ti3 octahedra,  an edgeedge with one O(17)Li3TiCr2 octahedra,  an edgeedge with one O(20)Li3TiCr2 octahedra,  an edgeedge with one O(21)Li3TiCr2 octahedra, and  an edgeedge with one O(24)Li3TiCr2 octahedra. The corner-sharing octahedral tilt angles range from 1-6°. In the sixth O site, O(6) is bonded to one Li(10), one Li(6), one Li(9), one Ti(6), one Ti(7), and one Cr(1) atom to form OLi3Ti2Cr octahedra that share  a cornercorner with one O(1)Li3Ti2Cr octahedra,  a cornercorner with one O(10)Li3Ti3 octahedra,  a cornercorner with one O(11)Li3Ti3 octahedra,  a cornercorner with one O(12)Li3Ti3 octahedra,  a cornercorner with one O(9)Li3Ti3 octahedra,  a cornercorner with one O(18)Li3TiCr2 octahedra,  an edgeedge with one O(1)Li3Ti2Cr octahedra,  an edgeedge with one O(2)Li3Ti2Cr octahedra,  an edgeedge with one O(5)Li3Ti2Cr octahedra,  an edgeedge with one O(7)Li3Ti2Cr octahedra,  an edgeedge with one O(10)Li3Ti3 octahedra,  an edgeedge with one O(14)Li3Ti3 octahedra,  an edgeedge with one O(15)Li3Ti3 octahedra,  an edgeedge with one O(9)Li3Ti3 octahedra,  an edgeedge with one O(17)Li3TiCr2 octahedra,  an edgeedge with one O(18)Li3TiCr2 octahedra,  an edgeedge with one O(21)Li3TiCr2 octahedra, and  an edgeedge with one O(22)Li3TiCr2 octahedra. The corner-sharing octahedral tilt angles range from 0-7°. In the seventh O site, O(7) is bonded to one Li(10), one Li(11), one Li(7), one Ti(7), one Ti(8), and one Cr(2) atom to form OLi3Ti2Cr octahedra that share  a cornercorner with one O(2)Li3Ti2Cr octahedra,  a cornercorner with one O(10)Li3Ti3 octahedra,  a cornercorner with one O(11)Li3Ti3 octahedra,  a cornercorner with one O(12)Li3Ti3 octahedra,  a cornercorner with one O(9)Li3Ti3 octahedra,  a cornercorner with one O(19)Li3TiCr2 octahedra,  an edgeedge with one O(2)Li3Ti2Cr octahedra,  an edgeedge with one O(3)Li3Ti2Cr octahedra,  an edgeedge with one O(6)Li3Ti2Cr octahedra,  an edgeedge with one O(8)Li3Ti2Cr octahedra,  an edgeedge with one O(10)Li3Ti3 octahedra,  an edgeedge with one O(11)Li3Ti3 octahedra,  an edgeedge with one O(15)Li3Ti3 octahedra,  an edgeedge with one O(16)Li3Ti3 octahedra,  an edgeedge with one O(18)Li3TiCr2 octahedra,  an edgeedge with one O(19)Li3TiCr2 octahedra,  an edgeedge with one O(22)Li3TiCr2 octahedra, and  an edgeedge with one O(23)Li3TiCr2 octahedra. The corner-sharing octahedral tilt angles range from 1-8°. In the eighth O site, O(8) is bonded to one Li(11), one Li(12), one Li(8), one Ti(5), one Ti(8), and one Cr(3) atom to form OLi3Ti2Cr octahedra that share  a cornercorner with one O(3)Li3Ti2Cr octahedra,  a cornercorner with one O(10)Li3Ti3 octahedra,  a cornercorner with one O(11)Li3Ti3 octahedra,  a cornercorner with one O(12)Li3Ti3 octahedra,  a cornercorner with one O(9)Li3Ti3 octahedra,  a cornercorner with one O(20)Li3TiCr2 octahedra,  an edgeedge with one O(3)Li3Ti2Cr octahedra,  an edgeedge with one O(4)Li3Ti2Cr octahedra,  an edgeedge with one O(5)Li3Ti2Cr octahedra,  an edgeedge with one O(7)Li3Ti2Cr octahedra,  an edgeedge with one O(11)Li3Ti3 octahedra,  an edgeedge with one O(12)Li3Ti3 octahedra,  an edgeedge with one O(13)Li3Ti3 octahedra,  an edgeedge with one O(16)Li3Ti3 octahedra,  an edgeedge with one O(19)Li3TiCr2 octahedra,  an edgeedge with one O(20)Li3TiCr2 octahedra,  an edgeedge with one O(23)Li3TiCr2 octahedra, and  an edgeedge with one O(24)Li3TiCr2 octahedra. The corner-sharing octahedral tilt angles range from 0-8°. In the ninth O site, O(9) is bonded to one Li(1), one Li(10), one Li(9), one Ti(1), one Ti(5), and one Ti(6) atom to form OLi3Ti3 octahedra that share  a cornercorner with one O(5)Li3Ti2Cr octahedra,  a cornercorner with one O(6)Li3Ti2Cr octahedra,  a cornercorner with one O(7)Li3Ti2Cr octahedra,  a cornercorner with one O(8)Li3Ti2Cr octahedra,  a cornercorner with one O(13)Li3Ti3 octahedra,  a cornercorner with one O(22)Li3TiCr2 octahedra,  an edgeedge with one O(1)Li3Ti2Cr octahedra,  an edgeedge with one O(2)Li3Ti2Cr octahedra,  an edgeedge with one O(5)Li3Ti2Cr octahedra,  an edgeedge with one O(6)Li3Ti2Cr octahedra,  an edgeedge with one O(10)Li3Ti3 octahedra,  an edgeedge with one O(12)Li3Ti3 octahedra,  an edgeedge with one O(13)Li3Ti3 octahedra,  an edgeedge with one O(14)Li3Ti3 octahedra,  an edgeedge with one O(17)Li3TiCr2 octahedra,  an edgeedge with one O(20)Li3TiCr2 octahedra,  an edgeedge with one O(21)Li3TiCr2 octahedra, and  an edgeedge with one O(22)Li3TiCr2 octahedra. The corner-sharing octahedral tilt angles range from 1-6°. In the tenth O site, O(10) is bonded to one Li(10), one Li(11), one Li(2), one Ti(2), one Ti(6), and one Ti(7) atom to form OLi3Ti3 octahedra that share  a cornercorner with one O(5)Li3Ti2Cr octahedra,  a cornercorner with one O(6)Li3Ti2Cr octahedra,  a cornercorner with one O(7)Li3Ti2Cr octahedra,  a cornercorner with one O(8)Li3Ti2Cr octahedra,  a cornercorner with one O(14)Li3Ti3 octahedra,  a cornercorner with one O(23)Li3TiCr2 octahedra,  an edgeedge with one O(2)Li3Ti2Cr octahedra,  an edgeedge with one O(3)Li3Ti2Cr octahedra,  an edgeedge with one O(6)Li3Ti2Cr octahedra,  an edgeedge with one O(7)Li3Ti2Cr octahedra,  an edgeedge with one O(11)Li3Ti3 octahedra,  an edgeedge with one O(14)Li3Ti3 octahedra,  an edgeedge with one O(15)Li3Ti3 octahedra,  an edgeedge with one O(9)Li3Ti3 octahedra,  an edgeedge with one O(17)Li3TiCr2 octahedra,  an edgeedge with one O(18)Li3TiCr2 octahedra,  an edgeedge with one O(22)Li3TiCr2 octahedra, and  an edgeedge with one O(23)Li3TiCr2 octahedra. The corner-sharing octahedral tilt angles range from 1-6°. In the eleventh O site, O(11) is bonded to one Li(11), one Li(12), one Li(3), one Ti(3), one Ti(7), and one Ti(8) atom to form OLi3Ti3 octahedra that share  a cornercorner with one O(5)Li3Ti2Cr octahedra,  a cornercorner with one O(6)Li3Ti2Cr octahedra,  a cornercorner with one O(7)Li3Ti2Cr octahedra,  a cornercorner with one O(8)Li3Ti2Cr octahedra,  a cornercorner with one O(15)Li3Ti3 octahedra,  a cornercorner with one O(24)Li3TiCr2 octahedra,  an edgeedge with one O(3)Li3Ti2Cr octahedra,  an edgeedge with one O(4)Li3Ti2Cr octahedra,  an edgeedge with one O(7)Li3Ti2Cr octahedra,  an edgeedge with one O(8)Li3Ti2Cr octahedra,  an edgeedge with one O(10)Li3Ti3 octahedra,  an edgeedge with one O(12)Li3Ti3 octahedra,  an edgeedge with one O(15)Li3Ti3 octahedra,  an edgeedge with one O(16)Li3Ti3 octahedra,  an edgeedge with one O(18)Li3TiCr2 octahedra,  an edgeedge with one O(19)Li3TiCr2 octahedra,  an edgeedge with one O(23)Li3TiCr2 octahedra, and  an edgeedge with one O(24)Li3TiCr2 octahedra. The corner-sharing octahedral tilt angles range from 1-8°. In the twelfth O site, O(12) is bonded to one Li(12), one Li(4), one Li(9), one Ti(4), one Ti(5), and one Ti(8) atom to form OLi3Ti3 octahedra that share  a cornercorner with one O(5)Li3Ti2Cr octahedra,  a cornercorner with one O(6)Li3Ti2Cr octahedra,  a cornercorner with one O(7)Li3Ti2Cr octahedra,  a cornercorner with one O(8)Li3Ti2Cr octahedra,  a cornercorner with one O(16)Li3Ti3 octahedra,  a cornercorner with one O(21)Li3TiCr2 octahedra,  an edgeedge with one O(1)Li3Ti2Cr octahedra,  an edgeedge with one O(4)Li3Ti2Cr octahedra,  an edgeedge with one O(5)Li3Ti2Cr octahedra,  an edgeedge with one O(8)Li3Ti2Cr octahedra,  an edgeedge with one O(11)Li3Ti3 octahedra,  an edgeedge with one O(13)Li3Ti3 octahedra,  an edgeedge with one O(16)Li3Ti3 octahedra,  an edgeedge with one O(9)Li3Ti3 octahedra,  an edgeedge with one O(19)Li3TiCr2 octahedra,  an edgeedge with one O(20)Li3TiCr2 octahedra,  an edgeedge with one O(21)Li3TiCr2 octahedra, and  an edgeedge with one O(24)Li3TiCr2 octahedra. The corner-sharing octahedral tilt angles range from 1-8°. In the thirteenth O site, O(13) is bonded to one Li(1), one Li(5), one Li(8), one Ti(1), one Ti(4), and one Ti(5) atom to form OLi3Ti3 octahedra that share  a cornercorner with one O(1)Li3Ti2Cr octahedra,  a cornercorner with one O(2)Li3Ti2Cr octahedra,  a cornercorner with one O(3)Li3Ti2Cr octahedra,  a cornercorner with one O(4)Li3Ti2Cr octahedra,  a cornercorner with one O(9)Li3Ti3 octahedra,  a cornercorner with one O(20)Li3TiCr2 octahedra,  an edgeedge with one O(1)Li3Ti2Cr octahedra,  an edgeedge with one O(4)Li3Ti2Cr octahedra,  an edgeedge with one O(5)Li3Ti2Cr octahedra,  an edgeedge with one O(8)Li3Ti2Cr octahedra,  an edgeedge with one O(12)Li3Ti3 octahedra,  an edgeedge with one O(14)Li3Ti3 octahedra,  an edgeedge with one O(16)Li3Ti3 octahedra,  an edgeedge with one O(9)Li3Ti3 octahedra,  an edgeedge with one O(17)Li3TiCr2 octahedra,  an edgeedge with one O(20)Li3TiCr2 octahedra,  an edgeedge with one O(21)Li3TiCr2 octahedra, and  an edgeedge with one O(22)Li3TiCr2 octahedra. The corner-sharing octahedral tilt angles range from 0-6°. In the fourteenth O site, O(14) is bonded to one Li(2), one Li(5), one Li(6), one Ti(1), one Ti(2), and one Ti(6) atom to form OLi3Ti3 octahedra that share  a cornercorner with one O(1)Li3Ti2Cr octahedra,  a cornercorner with one O(2)Li3Ti2Cr octahedra,  a cornercorner with one O(3)Li3Ti2Cr octahedra,  a cornercorner with one O(4)Li3Ti2Cr octahedra,  a cornercorner with one O(10)Li3Ti3 octahedra,  a cornercorner with one O(17)Li3TiCr2 octahedra,  an edgeedge with one O(1)Li3Ti2Cr octahedra,  an edgeedge with one O(2)Li3Ti2Cr octahedra,  an edgeedge with one O(5)Li3Ti2Cr octahedra,  an edgeedge with one O(6)Li3Ti2Cr octahedra,  an edgeedge with one O(10)Li3Ti3 octahedra,  an edgeedge with one O(13)Li3Ti3 octahedra,  an edgeedge with one O(15)Li3Ti3 octahedra,  an edgeedge with one O(9)Li3Ti3 octahedra,  an edgeedge with one O(17)Li3TiCr2 octahedra,  an edgeedge with one O(18)Li3TiCr2 octahedra,  an edgeedge with one O(22)Li3TiCr2 octahedra, and  an edgeedge with one O(23)Li3TiCr2 octahedra. The corner-sharing octahedral tilt angles range from 1-6°. In the fifteenth O site, O(15) is bonded to one Li(3), one Li(6), one Li(7), one Ti(2), one Ti(3), and one Ti(7) atom to form OLi3Ti3 octahedra that share  a cornercorner with one O(1)Li3Ti2Cr octahedra,  a cornercorner with one O(2)Li3Ti2Cr octahedra,  a cornercorner with one O(3)Li3Ti2Cr octahedra,  a cornercorner with one O(4)Li3Ti2Cr octahedra,  a cornercorner with one O(11)Li3Ti3 octahedra,  a cornercorner with one O(18)Li3TiCr2 octahedra,  an edgeedge with one O(2)Li3Ti2Cr octahedra,  an edgeedge with one O(3)Li3Ti2Cr octahedra,  an edgeedge with one O(6)Li3Ti2Cr octahedra,  an edgeedge with one O(7)Li3Ti2Cr octahedra,  an edgeedge with one O(10)Li3Ti3 octahedra,  an edgeedge with one O(11)Li3Ti3 octahedra,  an edgeedge with one O(14)Li3Ti3 octahedra,  an edgeedge with one O(16)Li3Ti3 octahedra,  an edgeedge with one O(18)Li3TiCr2 octahedra,  an edgeedge with one O(19)Li3TiCr2 octahedra,  an edgeedge with one O(23)Li3TiCr2 octahedra, and  an edgeedge with one O(24)Li3TiCr2 octahedra. The corner-sharing octahedral tilt angles range from 1-8°. In the sixteenth O site, O(16) is bonded to one Li(4), one Li(7), one Li(8), one Ti(3), one Ti(4), and one Ti(8) atom to form OLi3Ti3 octahedra that share  a cornercorner with one O(1)Li3Ti2Cr octahedra,  a cornercorner with one O(2)Li3Ti2Cr octahedra,  a cornercorner with one O(3)Li3Ti2Cr octahedra,  a cornercorner with one O(4)Li3Ti2Cr octahedra,  a cornercorner with one O(12)Li3Ti3 octahedra,  a cornercorner with one O(19)Li3TiCr2 octahedra,  an edgeedge with one O(3)Li3Ti2Cr octahedra,  an edgeedge with one O(4)Li3Ti2Cr octahedra,  an edgeedge with one O(7)Li3Ti2Cr octahedra,  an edgeedge with one O(8)Li3Ti2Cr octahedra,  an edgeedge with one O(11)Li3Ti3 octahedra,  an edgeedge with one O(12)Li3Ti3 octahedra,  an edgeedge with one O(13)Li3Ti3 octahedra,  an edgeedge with one O(15)Li3Ti3 octahedra,  an edgeedge with one O(19)Li3TiCr2 octahedra,  an edgeedge with one O(20)Li3TiCr2 octahedra,  an edgeedge with one O(21)Li3TiCr2 octahedra, and  an edgeedge with one O(24)Li3TiCr2 octahedra. The corner-sharing octahedral tilt angles range from 1-8°. In the seventeenth O site, O(17) is bonded to one Li(1), one Li(2), one Li(5), one Ti(6), one Cr(1), and one Cr(4) atom to form OLi3TiCr2 octahedra that share  a cornercorner with one O(5)Li3Ti2Cr octahedra,  a cornercorner with one O(14)Li3Ti3 octahedra,  a cornercorner with one O(21)Li3TiCr2 octahedra,  a cornercorner with one O(22)Li3TiCr2 octahedra,  a cornercorner with one O(23)Li3TiCr2 octahedra,  a cornercorner with one O(24)Li3TiCr2 octahedra,  an edgeedge with one O(1)Li3Ti2Cr octahedra,  an edgeedge with one O(4)Li3Ti2Cr octahedra,  an edgeedge with one O(5)Li3Ti2Cr octahedra,  an edgeedge with one O(6)Li3Ti2Cr octahedra,  an edgeedge with one O(10)Li3Ti3 octahedra,  an edgeedge with one O(13)Li3Ti3 octahedra,  an edgeedge with one O(14)Li3Ti3 octahedra,  an edgeedge with one O(9)Li3Ti3 octahedra,  an edgeedge with one O(18)Li3TiCr2 octahedra,  an edgeedge with one O(20)Li3TiCr2 octahedra,  an edgeedge with one O(21)Li3TiCr2 octahedra, and  an edgeedge with one O(22)Li3TiCr2 octahedra. The corner-sharing octahedral tilt angles range from 0-4°. In the eighteenth O site, O(18) is bonded to one Li(2), one Li(3), one Li(6), one Ti(7), one Cr(1), and one Cr(2) atom to form OLi3TiCr2 octahedra that share  a cornercorner with one O(6)Li3Ti2Cr octahedra,  a cornercorner with one O(15)Li3Ti3 octahedra,  a cornercorner with one O(21)Li3TiCr2 octahedra,  a cornercorner with one O(22)Li3TiCr2 octahedra,  a cornercorner with one O(23)Li3TiCr2 octahedra,  a cornercorner with one O(24)Li3TiCr2 octahedra,  an edgeedge with one O(1)Li3Ti2Cr octahedra,  an edgeedge with one O(2)Li3Ti2Cr octahedra,  an edgeedge with one O(6)Li3Ti2Cr octahedra,  an edgeedge with one O(7)Li3Ti2Cr octahedra,  an edgeedge with one O(10)Li3Ti3 octahedra,  an edgeedge with one O(11)Li3Ti3 octahedra,  an edgeedge with one O(14)Li3Ti3 octahedra,  an edgeedge with one O(15)Li3Ti3 octahedra,  an edgeedge with one O(17)Li3TiCr2 octahedra,  an edgeedge with one O(19)Li3TiCr2 octahedra,  an edgeedge with one O(22)Li3TiCr2 octahedra, and  an edgeedge with one O(23)Li3TiCr2 octahedra. The corner-sharing octahedral tilt angles range from 0-6°. In the nineteenth O site, O(19) is bonded to one Li(3), one Li(4), one Li(7), one Ti(8), one Cr(2), and one Cr(3) atom to form OLi3TiCr2 octahedra that share  a cornercorner with one O(7)Li3Ti2Cr octahedra,  a cornercorner with one O(16)Li3Ti3 octahedra,  a cornercorner with one O(21)Li3TiCr2 octahedra,  a cornercorner with one O(22)Li3TiCr2 octahedra,  a cornercorner with one O(23)Li3TiCr2 octahedra,  a cornercorner with one O(24)Li3TiCr2 octahedra,  an edgeedge with one O(2)Li3Ti2Cr octahedra,  an edgeedge with one O(3)Li3Ti2Cr octahedra,  an edgeedge with one O(7)Li3Ti2Cr octahedra,  an edgeedge with one O(8)Li3Ti2Cr octahedra,  an edgeedge with one O(11)Li3Ti3 octahedra,  an edgeedge with one O(12)Li3Ti3 octahedra,  an edgeedge with one O(15)Li3Ti3 octahedra,  an edgeedge with one O(16)Li3Ti3 octahedra,  an edgeedge with one O(18)Li3TiCr2 octahedra,  an edgeedge with one O(20)Li3TiCr2 octahedra,  an edgeedge with one O(23)Li3TiCr2 octahedra, and  an edgeedge with one O(24)Li3TiCr2 octahedra. The corner-sharing octahedral tilt angles range from 0-8°. In the twentieth O site, O(20) is bonded to one Li(1), one Li(4), one Li(8), one Ti(5), one Cr(3), and one Cr(4) atom to form OLi3TiCr2 octahedra that share  a cornercorner with one O(8)Li3Ti2Cr octahedra,  a cornercorner with one O(13)Li3Ti3 octahedra,  a cornercorner with one O(21)Li3TiCr2 octahedra,  a cornercorner with one O(22)Li3TiCr2 octahedra,  a cornercorner with one O(23)Li3TiCr2 octahedra,  a cornercorner with one O(24)Li3TiCr2 octahedra,  an edgeedge with one O(3)Li3Ti2Cr octahedra,  an edgeedge with one O(4)Li3Ti2Cr octahedra,  an edgeedge with one O(5)Li3Ti2Cr octahedra,  an edgeedge with one O(8)Li3Ti2Cr octahedra,  an edgeedge with one O(12)Li3Ti3 octahedra,  an edgeedge with one O(13)Li3Ti3 octahedra,  an edgeedge with one O(16)Li3Ti3 octahedra,  an edgeedge with one O(9)Li3Ti3 octahedra,  an edgeedge with one O(17)Li3TiCr2 octahedra,  an edgeedge with one O(19)Li3TiCr2 octahedra,  an edgeedge with one O(21)Li3TiCr2 octahedra, and  an edgeedge with one O(24)Li3TiCr2 octahedra. The corner-sharing octahedral tilt angles range from 1-6°. In the twenty-first O site, O(21) is bonded to one Li(1), one Li(4), one Li(9), one Ti(4), one Cr(1), and one Cr(4) atom to form OLi3TiCr2 octahedra that share  a cornercorner with one O(1)Li3Ti2Cr octahedra,  a cornercorner with one O(12)Li3Ti3 octahedra,  a cornercorner with one O(17)Li3TiCr2 octahedra,  a cornercorner with one O(18)Li3TiCr2 octahedra,  a cornercorner with one O(19)Li3TiCr2 octahedra,  a cornercorner with one O(20)Li3TiCr2 octahedra,  an edgeedge with one O(1)Li3Ti2Cr octahedra,  an edgeedge with one O(4)Li3Ti2Cr octahedra,  an edgeedge with one O(5)Li3Ti2Cr octahedra,  an edgeedge with one O(6)Li3Ti2Cr octahedra,  an edgeedge with one O(12)Li3Ti3 octahedra,  an edgeedge with one O(13)Li3Ti3 octahedra,  an edgeedge with one O(16)Li3Ti3 octahedra,  an edgeedge with one O(9)Li3Ti3 octahedra,  an edgeedge with one O(17)Li3TiCr2 octahedra,  an edgeedge with one O(20)Li3TiCr2 octahedra,  an edgeedge with one O(22)Li3TiCr2 octahedra, and  an edgeedge with one O(24)Li3TiCr2 octahedra. The corner-sharing octahedral tilt angles range from 0-6°. In the twenty-second O site, O(22) is bonded to one Li(1), one Li(10), one Li(2), one Ti(1), one Cr(1), and one Cr(2) atom to form OLi3TiCr2 octahedra that share  a cornercorner with one O(2)Li3Ti2Cr octahedra,  a cornercorner with one O(9)Li3Ti3 octahedra,  a cornercorner with one O(17)Li3TiCr2 octahedra,  a cornercorner with one O(18)Li3TiCr2 octahedra,  a cornercorner with one O(19)Li3TiCr2 octahedra,  a cornercorner with one O(20)Li3TiCr2 octahedra,  an edgeedge with one O(1)Li3Ti2Cr octahedra,  an edgeedge with one O(2)Li3Ti2Cr octahedra,  an edgeedge with one O(6)Li3Ti2Cr octahedra,  an edgeedge with one O(7)Li3Ti2Cr octahedra,  an edgeedge with one O(10)Li3Ti3 octahedra,  an edgeedge with one O(13)Li3Ti3 octahedra,  an edgeedge with one O(14)Li3Ti3 octahedra,  an edgeedge with one O(9)Li3Ti3 octahedra,  an edgeedge with one O(17)Li3TiCr2 octahedra,  an edgeedge with one O(18)Li3TiCr2 octahedra,  an edgeedge with one O(21)Li3TiCr2 octahedra, and  an edgeedge with one O(23)Li3TiCr2 octahedra. The corner-sharing octahedral tilt angles range from 1-4°. In the twenty-third O site, O(23) is bonded to one Li(11), one Li(2), one Li(3), one Ti(2), one Cr(2), and one Cr(3) atom to form OLi3TiCr2 octahedra that share  a cornercorner with one O(3)Li3Ti2Cr octahedra,  a cornercorner with one O(10)Li3Ti3 octahedra,  a cornercorner with one O(17)Li3TiCr2 octahedra,  a cornercorner with one O(18)Li3TiCr2 octahedra,  a cornercorner with one O(19)Li3TiCr2 octahedra,  a cornercorner with one O(20)Li3TiCr2 octahedra,  an edgeedge with one O(2)Li3Ti2Cr octahedra,  an edgeedge with one O(3)Li3Ti2Cr octahedra,  an edgeedge with one O(7)Li3Ti2Cr octahedra,  an edgeedge with one O(8)Li3Ti2Cr octahedra,  an edgeedge with one O(10)Li3Ti3 octahedra,  an edgeedge with one O(11)Li3Ti3 octahedra,  an edgeedge with one O(14)Li3Ti3 octahedra,  an edgeedge with one O(15)Li3Ti3 octahedra,  an edgeedge with one O(18)Li3TiCr2 octahedra,  an edgeedge with one O(19)Li3TiCr2 octahedra,  an edgeedge with one O(22)Li3TiCr2 octahedra, and  an edgeedge with one O(24)Li3TiCr2 octahedra. The corner-sharing octahedral tilt angles range from 0-5°. In the twenty-fourth O site, O(24) is bonded to one Li(12), one Li(3), one Li(4), one Ti(3), one Cr(3), and one Cr(4) atom to form OLi3TiCr2 octahedra that share  a cornercorner with one O(4)Li3Ti2Cr octahedra,  a cornercorner with one O(11)Li3Ti3 octahedra,  a cornercorner with one O(17)Li3TiCr2 octahedra,  a cornercorner with one O(18)Li3TiCr2 octahedra,  a cornercorner with one O(19)Li3TiCr2 octahedra,  a cornercorner with one O(20)Li3TiCr2 octahedra,  an edgeedge with one O(3)Li3Ti2Cr octahedra,  an edgeedge with one O(4)Li3Ti2Cr octahedra,  an edgeedge with one O(5)Li3Ti2Cr octahedra,  an edgeedge with one O(8)Li3Ti2Cr octahedra,  an edgeedge with one O(11)Li3Ti3 octahedra,  an edgeedge with one O(12)Li3Ti3 octahedra,  an edgeedge with one O(15)Li3Ti3 octahedra,  an edgeedge with one O(16)Li3Ti3 octahedra,  an edgeedge with one O(19)Li3TiCr2 octahedra,  an edgeedge with one O(20)Li3TiCr2 octahedra,  an edgeedge with one O(21)Li3TiCr2 octahedra, and  an edgeedge with one O(23)Li3TiCr2 octahedra. The corner-sharing octahedral tilt angles range from 0-8°. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li3Ti2CrO6
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   2.942
_cell_length_b   5.991
_cell_length_c   6.714
_cell_angle_alpha   104.467
_cell_angle_beta   102.426
_cell_angle_gamma   90.022
_symmetry_Int_Tables_number   1
_cell_volume   111.701
_cell_formula_units_Z   1
loop_
 _symmetry_equiv_pos_site_id
 _symmetry_equiv_pos_as_xyz
  1  'x, y, z'
loop_
 _atom_site_type_symbol
 _atom_site_label
 _atom_site_symmetry_multiplicity
 _atom_site_fract_x
 _atom_site_fract_y
 _atom_site_fract_z
 _atom_site_occupancy
  Cr  Cr0  1  0.334  0.667  0.667  1.0
  Li  Li1  1  0.333  0.167  0.667  1.0
  Li  Li2  1  0.996  0.506  0.992  1.0
  Li  Li3  1  0.670  0.827  0.341  1.0
  O  O4  1  0.494  0.764  0.988  1.0
  O  O5  1  0.172  0.569  0.345  1.0
  O  O6  1  0.172  0.086  0.334  1.0
  O  O7  1  0.494  0.248  0.999  1.0
  O  O8  1  0.827  0.430  0.653  1.0
  O  O9  1  0.840  0.903  0.680  1.0
  Ti  Ti10  1  0.001  0.012  0.010  1.0
  Ti  Ti11  1  0.666  0.322  0.323  1.0
[/CIF]
.
The compound described by Li3Ti2CrO6 is alpha Po-derived structured and crystallizes in the triclinic P1 space group. There are twelve inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(13), one O(17), one O(20), one O(21), one O(22), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ti(5)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Cr(3)O6 octahedra,  a cornercorner with one Cr(4)O6 octahedra,  an edgeedge with one Li(10)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra, and  an edgeedge with one Cr(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-7°. In the second Li site, Li(2) is bonded to one O(10), one O(14), one O(17), one O(18), one O(22), and one O(23) atom to form LiO6 octahedra that share  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Ti(6)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Cr(3)O6 octahedra,  a cornercorner with one Cr(4)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(10)O6 octahedra,  an edgeedge with one Li(11)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra,  an edgeedge with one Ti(7)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra, and  an edgeedge with one Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-6°. In the third Li site, Li(3) is bonded to one O(11), one O(15), one O(18), one O(19), one O(23), and one O(24) atom to form LiO6 octahedra that share  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Ti(7)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Cr(3)O6 octahedra,  a cornercorner with one Cr(4)O6 octahedra,  an edgeedge with one Li(11)O6 octahedra,  an edgeedge with one Li(12)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Ti(7)O6 octahedra,  an edgeedge with one Ti(8)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, and  an edgeedge with one Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-6°. In the fourth Li site, Li(4) is bonded to one O(12), one O(16), one O(19), one O(20), one O(21), and one O(24) atom to form LiO6 octahedra that share  a cornercorner with one Ti(4)O6 octahedra,  a cornercorner with one Ti(8)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Cr(3)O6 octahedra,  a cornercorner with one Cr(4)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(12)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra,  an edgeedge with one Ti(8)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra, and  an edgeedge with one Cr(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-7°. In the fifth Li site, Li(5) is bonded to one O(1), one O(13), one O(14), one O(17), one O(4), and one O(5) atom to form LiO6 octahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Ti(4)O6 octahedra,  a cornercorner with one Ti(6)O6 octahedra,  a cornercorner with one Cr(4)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(12)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra, and  an edgeedge with one Cr(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-8°. In the sixth Li site, Li(6) is bonded to one O(1), one O(14), one O(15), one O(18), one O(2), and one O(6) atom to form LiO6 octahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Ti(4)O6 octahedra,  a cornercorner with one Ti(7)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra,  an edgeedge with one Li(10)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra,  an edgeedge with one Ti(7)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra, and  an edgeedge with one Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-6°. In the seventh Li site, Li(7) is bonded to one O(15), one O(16), one O(19), one O(2), one O(3), and one O(7) atom to form LiO6 octahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Ti(4)O6 octahedra,  a cornercorner with one Ti(8)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  an edgeedge with one Li(10)O6 octahedra,  an edgeedge with one Li(11)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Ti(7)O6 octahedra,  an edgeedge with one Ti(8)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, and  an edgeedge with one Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-6°. In the eighth Li site, Li(8) is bonded to one O(13), one O(16), one O(20), one O(3), one O(4), and one O(8) atom to form LiO6 octahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Ti(4)O6 octahedra,  a cornercorner with one Ti(5)O6 octahedra,  a cornercorner with one Cr(3)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(11)O6 octahedra,  an edgeedge with one Li(12)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra,  an edgeedge with one Ti(8)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra, and  an edgeedge with one Cr(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-7°. In the ninth Li site, Li(9) is bonded to one O(1), one O(12), one O(21), one O(5), one O(6), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Ti(4)O6 octahedra,  a cornercorner with one Ti(5)O6 octahedra,  a cornercorner with one Ti(6)O6 octahedra,  a cornercorner with one Ti(7)O6 octahedra,  a cornercorner with one Ti(8)O6 octahedra,  a cornercorner with one Cr(1)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(10)O6 octahedra,  an edgeedge with one Li(12)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 Ti(1)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra, and  an edgeedge with one Cr(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-6°. In the tenth Li site, Li(10) is bonded to one O(10), one O(2), one O(22), one O(6), one O(7), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ti(5)O6 octahedra,  a cornercorner with one Ti(6)O6 octahedra,  a cornercorner with one Ti(7)O6 octahedra,  a cornercorner with one Ti(8)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(11)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra,  an edgeedge with one Ti(7)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra, and  an edgeedge with one Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-7°. In the eleventh Li site, Li(11) is bonded to one O(10), one O(11), one O(23), one O(3), one O(7), and one O(8) atom to form LiO6 octahedra that share  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Ti(5)O6 octahedra,  a cornercorner with one Ti(6)O6 octahedra,  a cornercorner with one Ti(7)O6 octahedra,  a cornercorner with one Ti(8)O6 octahedra,  a cornercorner with one Cr(3)O6 octahedra,  an edgeedge with one Li(10)O6 octahedra,  an edgeedge with one Li(12)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Ti(7)O6 octahedra,  an edgeedge with one Ti(8)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, and  an edgeedge with one Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-7°. In the twelfth Li site, Li(12) is bonded to one O(11), one O(12), one O(24), one O(4), one O(5), and one O(8) atom to form LiO6 octahedra that share  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Ti(5)O6 octahedra,  a cornercorner with one Ti(6)O6 octahedra,  a cornercorner with one Ti(7)O6 octahedra,  a cornercorner with one Ti(8)O6 octahedra,  a cornercorner with one Cr(4)O6 octahedra,  an edgeedge with one Li(11)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(8)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra,  an edgeedge with one Ti(8)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra, and  an edgeedge with one Cr(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-6°. There are eight inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(1), one O(13), one O(14), one O(2), one O(22), and one O(9) atom to form TiO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(10)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,  a cornercorner with one Li(8)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(10)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra, and  an edgeedge with one Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-5°. In the second Ti site, Ti(2) is bonded to one O(10), one O(14), one O(15), one O(2), one O(23), and one O(3) atom to form TiO6 octahedra that share  a cornercorner with one Li(11)O6 octahedra,  a cornercorner with one Li(2)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,  a cornercorner with one Li(8)O6 octahedra,  an edgeedge with one Li(10)O6 octahedra,  an edgeedge with one Li(11)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra,  an edgeedge with one Ti(7)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, and  an edgeedge with one Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-5°. In the third Ti site, Ti(3) is bonded to one O(11), one O(15), one O(16), one O(24), one O(3), and one O(4) atom to form TiO6 octahedra that share  a cornercorner with one Li(12)O6 octahedra,  a cornercorner with one Li(3)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,  a cornercorner with one Li(8)O6 octahedra,  an edgeedge with one Li(11)O6 octahedra,  an edgeedge with one Li(12)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Ti(7)O6 octahedra,  an edgeedge with one Ti(8)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra, and  an edgeedge with one Cr(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-6°. In the fourth Ti site, Ti(4) is bonded to one O(1), one O(12), one O(13), one O(16), one O(21), and one O(4) atom to form TiO6 octahedra that share  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,  a cornercorner with one Li(8)O6 octahedra,  a cornercorner with one Li(9)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(12)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra,  an edgeedge with one Ti(8)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra, and  an edgeedge with one Cr(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-6°. In the fifth Ti site, Ti(5) is bonded to one O(12), one O(13), one O(20), one O(5), one O(8), and one O(9) atom to form TiO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(10)O6 octahedra,  a cornercorner with one Li(11)O6 octahedra,  a cornercorner with one Li(12)O6 octahedra,  a cornercorner with one Li(8)O6 octahedra,  a cornercorner with one Li(9)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(12)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra,  an edgeedge with one Ti(8)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra, and  an edgeedge with one Cr(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-6°. In the sixth Ti site, Ti(6) is bonded to one O(10), one O(14), one O(17), one O(5), one O(6), and one O(9) atom to form TiO6 octahedra that share  a cornercorner with one Li(10)O6 octahedra,  a cornercorner with one Li(11)O6 octahedra,  a cornercorner with one Li(12)O6 octahedra,  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Li(9)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(10)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra,  an edgeedge with one Ti(7)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra, and  an edgeedge with one Cr(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-5°. In the seventh Ti site, Ti(7) is bonded to one O(10), one O(11), one O(15), one O(18), one O(6), and one O(7) atom to form TiO6 octahedra that share  a cornercorner with one Li(10)O6 octahedra,  a cornercorner with one Li(11)O6 octahedra,  a cornercorner with one Li(12)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(6)O6 octahedra,  a cornercorner with one Li(9)O6 octahedra,  an edgeedge with one Li(10)O6 octahedra,  an edgeedge with one Li(11)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra,  an edgeedge with one Ti(8)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra, and  an edgeedge with one Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-6°. In the eighth Ti site, Ti(8) is bonded to one O(11), one O(12), one O(16), one O(19), one O(7), and one O(8) atom to form TiO6 octahedra that share  a cornercorner with one Li(10)O6 octahedra,  a cornercorner with one Li(11)O6 octahedra,  a cornercorner with one Li(12)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(7)O6 octahedra,  a cornercorner with one Li(9)O6 octahedra,  an edgeedge with one Li(11)O6 octahedra,  an edgeedge with one Li(12)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra,  an edgeedge with one Ti(7)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, and  an edgeedge with one Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-6°. There are four inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(1), one O(17), one O(18), one O(21), one O(22), and one O(6) atom to form CrO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(6)O6 octahedra,  a cornercorner with one Li(9)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(10)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra,  an edgeedge with one Ti(7)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, and  an edgeedge with one Cr(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-6°. In the second Cr site, Cr(2) is bonded to one O(18), one O(19), one O(2), one O(22), one O(23), and one O(7) atom to form CrO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(10)O6 octahedra,  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(7)O6 octahedra,  an edgeedge with one Li(10)O6 octahedra,  an edgeedge with one Li(11)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(7)O6 octahedra,  an edgeedge with one Ti(8)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra, and  an edgeedge with one Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-7°. In the third Cr site, Cr(3) is bonded to one O(19), one O(20), one O(23), one O(24), one O(3), and one O(8) atom to form CrO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(11)O6 octahedra,  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(8)O6 octahedra,  an edgeedge with one Li(11)O6 octahedra,  an edgeedge with one Li(12)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra,  an edgeedge with one Ti(8)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, and  an edgeedge with one Cr(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-7°. In the fourth Cr site, Cr(4) is bonded to one O(17), one O(20), one O(21), one O(24), one O(4), and one O(5) atom to form CrO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(12)O6 octahedra,  a cornercorner with one Li(2)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,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(12)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra, and  an edgeedge with one Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-8°. There are twenty-four inequivalent O sites. In the first O site, O(1) is bonded to one Li(5), one Li(6), one Li(9), one Ti(1), one Ti(4), and one Cr(1) atom to form OLi3Ti2Cr octahedra that share  a cornercorner with one O(6)Li3Ti2Cr octahedra,  a cornercorner with one O(13)Li3Ti3 octahedra,  a cornercorner with one O(14)Li3Ti3 octahedra,  a cornercorner with one O(15)Li3Ti3 octahedra,  a cornercorner with one O(16)Li3Ti3 octahedra,  a cornercorner with one O(21)Li3TiCr2 octahedra,  an edgeedge with one O(2)Li3Ti2Cr octahedra,  an edgeedge with one O(4)Li3Ti2Cr octahedra,  an edgeedge with one O(5)Li3Ti2Cr octahedra,  an edgeedge with one O(6)Li3Ti2Cr octahedra,  an edgeedge with one O(12)Li3Ti3 octahedra,  an edgeedge with one O(13)Li3Ti3 octahedra,  an edgeedge with one O(14)Li3Ti3 octahedra,  an edgeedge with one O(9)Li3Ti3 octahedra,  an edgeedge with one O(17)Li3TiCr2 octahedra,  an edgeedge with one O(18)Li3TiCr2 octahedra,  an edgeedge with one O(21)Li3TiCr2 octahedra, and  an edgeedge with one O(22)Li3TiCr2 octahedra. The corner-sharing octahedral tilt angles range from 0-6°. In the second O site, O(2) is bonded to one Li(10), one Li(6), one Li(7), one Ti(1), one Ti(2), and one Cr(2) atom to form OLi3Ti2Cr octahedra that share  a cornercorner with one O(7)Li3Ti2Cr octahedra,  a cornercorner with one O(13)Li3Ti3 octahedra,  a cornercorner with one O(14)Li3Ti3 octahedra,  a cornercorner with one O(15)Li3Ti3 octahedra,  a cornercorner with one O(16)Li3Ti3 octahedra,  a cornercorner with one O(22)Li3TiCr2 octahedra,  an edgeedge with one O(1)Li3Ti2Cr octahedra,  an edgeedge with one O(3)Li3Ti2Cr octahedra,  an edgeedge with one O(6)Li3Ti2Cr octahedra,  an edgeedge with one O(7)Li3Ti2Cr octahedra,  an edgeedge with one O(10)Li3Ti3 octahedra,  an edgeedge with one O(14)Li3Ti3 octahedra,  an edgeedge with one O(15)Li3Ti3 octahedra,  an edgeedge with one O(9)Li3Ti3 octahedra,  an edgeedge with one O(18)Li3TiCr2 octahedra,  an edgeedge with one O(19)Li3TiCr2 octahedra,  an edgeedge with one O(22)Li3TiCr2 octahedra, and  an edgeedge with one O(23)Li3TiCr2 octahedra. The corner-sharing octahedral tilt angles range from 1-6°. In the third O site, O(3) is bonded to one Li(11), one Li(7), one Li(8), one Ti(2), one Ti(3), and one Cr(3) atom to form OLi3Ti2Cr octahedra that share  a cornercorner with one O(8)Li3Ti2Cr octahedra,  a cornercorner with one O(13)Li3Ti3 octahedra,  a cornercorner with one O(14)Li3Ti3 octahedra,  a cornercorner with one O(15)Li3Ti3 octahedra,  a cornercorner with one O(16)Li3Ti3 octahedra,  a cornercorner with one O(23)Li3TiCr2 octahedra,  an edgeedge with one O(2)Li3Ti2Cr octahedra,  an edgeedge with one O(4)Li3Ti2Cr octahedra,  an edgeedge with one O(7)Li3Ti2Cr octahedra,  an edgeedge with one O(8)Li3Ti2Cr octahedra,  an edgeedge with one O(10)Li3Ti3 octahedra,  an edgeedge with one O(11)Li3Ti3 octahedra,  an edgeedge with one O(15)Li3Ti3 octahedra,  an edgeedge with one O(16)Li3Ti3 octahedra,  an edgeedge with one O(19)Li3TiCr2 octahedra,  an edgeedge with one O(20)Li3TiCr2 octahedra,  an edgeedge with one O(23)Li3TiCr2 octahedra, and  an edgeedge with one O(24)Li3TiCr2 octahedra. The corner-sharing octahedral tilt angles range from 0-8°. In the fourth O site, O(4) is bonded to one Li(12), one Li(5), one Li(8), one Ti(3), one Ti(4), and one Cr(4) atom to form OLi3Ti2Cr octahedra that share  a cornercorner with one O(5)Li3Ti2Cr octahedra,  a cornercorner with one O(13)Li3Ti3 octahedra,  a cornercorner with one O(14)Li3Ti3 octahedra,  a cornercorner with one O(15)Li3Ti3 octahedra,  a cornercorner with one O(16)Li3Ti3 octahedra,  a cornercorner with one O(24)Li3TiCr2 octahedra,  an edgeedge with one O(1)Li3Ti2Cr octahedra,  an edgeedge with one O(3)Li3Ti2Cr octahedra,  an edgeedge with one O(5)Li3Ti2Cr octahedra,  an edgeedge with one O(8)Li3Ti2Cr octahedra,  an edgeedge with one O(11)Li3Ti3 octahedra,  an edgeedge with one O(12)Li3Ti3 octahedra,  an edgeedge with one O(13)Li3Ti3 octahedra,  an edgeedge with one O(16)Li3Ti3 octahedra,  an edgeedge with one O(17)Li3TiCr2 octahedra,  an edgeedge with one O(20)Li3TiCr2 octahedra,  an edgeedge with one O(21)Li3TiCr2 octahedra, and  an edgeedge with one O(24)Li3TiCr2 octahedra. The corner-sharing octahedral tilt angles range from 1-8°. In the fifth O site, O(5) is bonded to one Li(12), one Li(5), one Li(9), one Ti(5), one Ti(6), and one Cr(4) atom to form OLi3Ti2Cr octahedra that share  a cornercorner with one O(4)Li3Ti2Cr octahedra,  a cornercorner with one O(10)Li3Ti3 octahedra,  a cornercorner with one O(11)Li3Ti3 octahedra,  a cornercorner with one O(12)Li3Ti3 octahedra,  a cornercorner with one O(9)Li3Ti3 octahedra,  a cornercorner with one O(17)Li3TiCr2 octahedra,  an edgeedge with one O(1)Li3Ti2Cr octahedra,  an edgeedge with one O(4)Li3Ti2Cr octahedra,  an edgeedge with one O(6)Li3Ti2Cr octahedra,  an edgeedge with one O(8)Li3Ti2Cr octahedra,  an edgeedge with one O(12)Li3Ti3 octahedra,  an edgeedge with one O(13)Li3Ti3 octahedra,  an edgeedge with one O(14)Li3Ti3 octahedra,  an edgeedge with one O(9)Li3Ti3 octahedra,  an edgeedge with one O(17)Li3TiCr2 octahedra,  an edgeedge with one O(20)Li3TiCr2 octahedra,  an edgeedge with one O(21)Li3TiCr2 octahedra, and  an edgeedge with one O(24)Li3TiCr2 octahedra. The corner-sharing octahedral tilt angles range from 1-6°. In the sixth O site, O(6) is bonded to one Li(10), one Li(6), one Li(9), one Ti(6), one Ti(7), and one Cr(1) atom to form OLi3Ti2Cr octahedra that share  a cornercorner with one O(1)Li3Ti2Cr octahedra,  a cornercorner with one O(10)Li3Ti3 octahedra,  a cornercorner with one O(11)Li3Ti3 octahedra,  a cornercorner with one O(12)Li3Ti3 octahedra,  a cornercorner with one O(9)Li3Ti3 octahedra,  a cornercorner with one O(18)Li3TiCr2 octahedra,  an edgeedge with one O(1)Li3Ti2Cr octahedra,  an edgeedge with one O(2)Li3Ti2Cr octahedra,  an edgeedge with one O(5)Li3Ti2Cr octahedra,  an edgeedge with one O(7)Li3Ti2Cr octahedra,  an edgeedge with one O(10)Li3Ti3 octahedra,  an edgeedge with one O(14)Li3Ti3 octahedra,  an edgeedge with one O(15)Li3Ti3 octahedra,  an edgeedge with one O(9)Li3Ti3 octahedra,  an edgeedge with one O(17)Li3TiCr2 octahedra,  an edgeedge with one O(18)Li3TiCr2 octahedra,  an edgeedge with one O(21)Li3TiCr2 octahedra, and  an edgeedge with one O(22)Li3TiCr2 octahedra. The corner-sharing octahedral tilt angles range from 0-7°. In the seventh O site, O(7) is bonded to one Li(10), one Li(11), one Li(7), one Ti(7), one Ti(8), and one Cr(2) atom to form OLi3Ti2Cr octahedra that share  a cornercorner with one O(2)Li3Ti2Cr octahedra,  a cornercorner with one O(10)Li3Ti3 octahedra,  a cornercorner with one O(11)Li3Ti3 octahedra,  a cornercorner with one O(12)Li3Ti3 octahedra,  a cornercorner with one O(9)Li3Ti3 octahedra,  a cornercorner with one O(19)Li3TiCr2 octahedra,  an edgeedge with one O(2)Li3Ti2Cr octahedra,  an edgeedge with one O(3)Li3Ti2Cr octahedra,  an edgeedge with one O(6)Li3Ti2Cr octahedra,  an edgeedge with one O(8)Li3Ti2Cr octahedra,  an edgeedge with one O(10)Li3Ti3 octahedra,  an edgeedge with one O(11)Li3Ti3 octahedra,  an edgeedge with one O(15)Li3Ti3 octahedra,  an edgeedge with one O(16)Li3Ti3 octahedra,  an edgeedge with one O(18)Li3TiCr2 octahedra,  an edgeedge with one O(19)Li3TiCr2 octahedra,  an edgeedge with one O(22)Li3TiCr2 octahedra, and  an edgeedge with one O(23)Li3TiCr2 octahedra. The corner-sharing octahedral tilt angles range from 1-8°. In the eighth O site, O(8) is bonded to one Li(11), one Li(12), one Li(8), one Ti(5), one Ti(8), and one Cr(3) atom to form OLi3Ti2Cr octahedra that share  a cornercorner with one O(3)Li3Ti2Cr octahedra,  a cornercorner with one O(10)Li3Ti3 octahedra,  a cornercorner with one O(11)Li3Ti3 octahedra,  a cornercorner with one O(12)Li3Ti3 octahedra,  a cornercorner with one O(9)Li3Ti3 octahedra,  a cornercorner with one O(20)Li3TiCr2 octahedra,  an edgeedge with one O(3)Li3Ti2Cr octahedra,  an edgeedge with one O(4)Li3Ti2Cr octahedra,  an edgeedge with one O(5)Li3Ti2Cr octahedra,  an edgeedge with one O(7)Li3Ti2Cr octahedra,  an edgeedge with one O(11)Li3Ti3 octahedra,  an edgeedge with one O(12)Li3Ti3 octahedra,  an edgeedge with one O(13)Li3Ti3 octahedra,  an edgeedge with one O(16)Li3Ti3 octahedra,  an edgeedge with one O(19)Li3TiCr2 octahedra,  an edgeedge with one O(20)Li3TiCr2 octahedra,  an edgeedge with one O(23)Li3TiCr2 octahedra, and  an edgeedge with one O(24)Li3TiCr2 octahedra. The corner-sharing octahedral tilt angles range from 0-8°. In the ninth O site, O(9) is bonded to one Li(1), one Li(10), one Li(9), one Ti(1), one Ti(5), and one Ti(6) atom to form OLi3Ti3 octahedra that share  a cornercorner with one O(5)Li3Ti2Cr octahedra,  a cornercorner with one O(6)Li3Ti2Cr octahedra,  a cornercorner with one O(7)Li3Ti2Cr octahedra,  a cornercorner with one O(8)Li3Ti2Cr octahedra,  a cornercorner with one O(13)Li3Ti3 octahedra,  a cornercorner with one O(22)Li3TiCr2 octahedra,  an edgeedge with one O(1)Li3Ti2Cr octahedra,  an edgeedge with one O(2)Li3Ti2Cr octahedra,  an edgeedge with one O(5)Li3Ti2Cr octahedra,  an edgeedge with one O(6)Li3Ti2Cr octahedra,  an edgeedge with one O(10)Li3Ti3 octahedra,  an edgeedge with one O(12)Li3Ti3 octahedra,  an edgeedge with one O(13)Li3Ti3 octahedra,  an edgeedge with one O(14)Li3Ti3 octahedra,  an edgeedge with one O(17)Li3TiCr2 octahedra,  an edgeedge with one O(20)Li3TiCr2 octahedra,  an edgeedge with one O(21)Li3TiCr2 octahedra, and  an edgeedge with one O(22)Li3TiCr2 octahedra. The corner-sharing octahedral tilt angles range from 1-6°. In the tenth O site, O(10) is bonded to one Li(10), one Li(11), one Li(2), one Ti(2), one Ti(6), and one Ti(7) atom to form OLi3Ti3 octahedra that share  a cornercorner with one O(5)Li3Ti2Cr octahedra,  a cornercorner with one O(6)Li3Ti2Cr octahedra,  a cornercorner with one O(7)Li3Ti2Cr octahedra,  a cornercorner with one O(8)Li3Ti2Cr octahedra,  a cornercorner with one O(14)Li3Ti3 octahedra,  a cornercorner with one O(23)Li3TiCr2 octahedra,  an edgeedge with one O(2)Li3Ti2Cr octahedra,  an edgeedge with one O(3)Li3Ti2Cr octahedra,  an edgeedge with one O(6)Li3Ti2Cr octahedra,  an edgeedge with one O(7)Li3Ti2Cr octahedra,  an edgeedge with one O(11)Li3Ti3 octahedra,  an edgeedge with one O(14)Li3Ti3 octahedra,  an edgeedge with one O(15)Li3Ti3 octahedra,  an edgeedge with one O(9)Li3Ti3 octahedra,  an edgeedge with one O(17)Li3TiCr2 octahedra,  an edgeedge with one O(18)Li3TiCr2 octahedra,  an edgeedge with one O(22)Li3TiCr2 octahedra, and  an edgeedge with one O(23)Li3TiCr2 octahedra. The corner-sharing octahedral tilt angles range from 1-6°. In the eleventh O site, O(11) is bonded to one Li(11), one Li(12), one Li(3), one Ti(3), one Ti(7), and one Ti(8) atom to form OLi3Ti3 octahedra that share  a cornercorner with one O(5)Li3Ti2Cr octahedra,  a cornercorner with one O(6)Li3Ti2Cr octahedra,  a cornercorner with one O(7)Li3Ti2Cr octahedra,  a cornercorner with one O(8)Li3Ti2Cr octahedra,  a cornercorner with one O(15)Li3Ti3 octahedra,  a cornercorner with one O(24)Li3TiCr2 octahedra,  an edgeedge with one O(3)Li3Ti2Cr octahedra,  an edgeedge with one O(4)Li3Ti2Cr octahedra,  an edgeedge with one O(7)Li3Ti2Cr octahedra,  an edgeedge with one O(8)Li3Ti2Cr octahedra,  an edgeedge with one O(10)Li3Ti3 octahedra,  an edgeedge with one O(12)Li3Ti3 octahedra,  an edgeedge with one O(15)Li3Ti3 octahedra,  an edgeedge with one O(16)Li3Ti3 octahedra,  an edgeedge with one O(18)Li3TiCr2 octahedra,  an edgeedge with one O(19)Li3TiCr2 octahedra,  an edgeedge with one O(23)Li3TiCr2 octahedra, and  an edgeedge with one O(24)Li3TiCr2 octahedra. The corner-sharing octahedral tilt angles range from 1-8°. In the twelfth O site, O(12) is bonded to one Li(12), one Li(4), one Li(9), one Ti(4), one Ti(5), and one Ti(8) atom to form OLi3Ti3 octahedra that share  a cornercorner with one O(5)Li3Ti2Cr octahedra,  a cornercorner with one O(6)Li3Ti2Cr octahedra,  a cornercorner with one O(7)Li3Ti2Cr octahedra,  a cornercorner with one O(8)Li3Ti2Cr octahedra,  a cornercorner with one O(16)Li3Ti3 octahedra,  a cornercorner with one O(21)Li3TiCr2 octahedra,  an edgeedge with one O(1)Li3Ti2Cr octahedra,  an edgeedge with one O(4)Li3Ti2Cr octahedra,  an edgeedge with one O(5)Li3Ti2Cr octahedra,  an edgeedge with one O(8)Li3Ti2Cr octahedra,  an edgeedge with one O(11)Li3Ti3 octahedra,  an edgeedge with one O(13)Li3Ti3 octahedra,  an edgeedge with one O(16)Li3Ti3 octahedra,  an edgeedge with one O(9)Li3Ti3 octahedra,  an edgeedge with one O(19)Li3TiCr2 octahedra,  an edgeedge with one O(20)Li3TiCr2 octahedra,  an edgeedge with one O(21)Li3TiCr2 octahedra, and  an edgeedge with one O(24)Li3TiCr2 octahedra. The corner-sharing octahedral tilt angles range from 1-8°. In the thirteenth O site, O(13) is bonded to one Li(1), one Li(5), one Li(8), one Ti(1), one Ti(4), and one Ti(5) atom to form OLi3Ti3 octahedra that share  a cornercorner with one O(1)Li3Ti2Cr octahedra,  a cornercorner with one O(2)Li3Ti2Cr octahedra,  a cornercorner with one O(3)Li3Ti2Cr octahedra,  a cornercorner with one O(4)Li3Ti2Cr octahedra,  a cornercorner with one O(9)Li3Ti3 octahedra,  a cornercorner with one O(20)Li3TiCr2 octahedra,  an edgeedge with one O(1)Li3Ti2Cr octahedra,  an edgeedge with one O(4)Li3Ti2Cr octahedra,  an edgeedge with one O(5)Li3Ti2Cr octahedra,  an edgeedge with one O(8)Li3Ti2Cr octahedra,  an edgeedge with one O(12)Li3Ti3 octahedra,  an edgeedge with one O(14)Li3Ti3 octahedra,  an edgeedge with one O(16)Li3Ti3 octahedra,  an edgeedge with one O(9)Li3Ti3 octahedra,  an edgeedge with one O(17)Li3TiCr2 octahedra,  an edgeedge with one O(20)Li3TiCr2 octahedra,  an edgeedge with one O(21)Li3TiCr2 octahedra, and  an edgeedge with one O(22)Li3TiCr2 octahedra. The corner-sharing octahedral tilt angles range from 0-6°. In the fourteenth O site, O(14) is bonded to one Li(2), one Li(5), one Li(6), one Ti(1), one Ti(2), and one Ti(6) atom to form OLi3Ti3 octahedra that share  a cornercorner with one O(1)Li3Ti2Cr octahedra,  a cornercorner with one O(2)Li3Ti2Cr octahedra,  a cornercorner with one O(3)Li3Ti2Cr octahedra,  a cornercorner with one O(4)Li3Ti2Cr octahedra,  a cornercorner with one O(10)Li3Ti3 octahedra,  a cornercorner with one O(17)Li3TiCr2 octahedra,  an edgeedge with one O(1)Li3Ti2Cr octahedra,  an edgeedge with one O(2)Li3Ti2Cr octahedra,  an edgeedge with one O(5)Li3Ti2Cr octahedra,  an edgeedge with one O(6)Li3Ti2Cr octahedra,  an edgeedge with one O(10)Li3Ti3 octahedra,  an edgeedge with one O(13)Li3Ti3 octahedra,  an edgeedge with one O(15)Li3Ti3 octahedra,  an edgeedge with one O(9)Li3Ti3 octahedra,  an edgeedge with one O(17)Li3TiCr2 octahedra,  an edgeedge with one O(18)Li3TiCr2 octahedra,  an edgeedge with one O(22)Li3TiCr2 octahedra, and  an edgeedge with one O(23)Li3TiCr2 octahedra. The corner-sharing octahedral tilt angles range from 1-6°. In the fifteenth O site, O(15) is bonded to one Li(3), one Li(6), one Li(7), one Ti(2), one Ti(3), and one Ti(7) atom to form OLi3Ti3 octahedra that share  a cornercorner with one O(1)Li3Ti2Cr octahedra,  a cornercorner with one O(2)Li3Ti2Cr octahedra,  a cornercorner with one O(3)Li3Ti2Cr octahedra,  a cornercorner with one O(4)Li3Ti2Cr octahedra,  a cornercorner with one O(11)Li3Ti3 octahedra,  a cornercorner with one O(18)Li3TiCr2 octahedra,  an edgeedge with one O(2)Li3Ti2Cr octahedra,  an edgeedge with one O(3)Li3Ti2Cr octahedra,  an edgeedge with one O(6)Li3Ti2Cr octahedra,  an edgeedge with one O(7)Li3Ti2Cr octahedra,  an edgeedge with one O(10)Li3Ti3 octahedra,  an edgeedge with one O(11)Li3Ti3 octahedra,  an edgeedge with one O(14)Li3Ti3 octahedra,  an edgeedge with one O(16)Li3Ti3 octahedra,  an edgeedge with one O(18)Li3TiCr2 octahedra,  an edgeedge with one O(19)Li3TiCr2 octahedra,  an edgeedge with one O(23)Li3TiCr2 octahedra, and  an edgeedge with one O(24)Li3TiCr2 octahedra. The corner-sharing octahedral tilt angles range from 1-8°. In the sixteenth O site, O(16) is bonded to one Li(4), one Li(7), one Li(8), one Ti(3), one Ti(4), and one Ti(8) atom to form OLi3Ti3 octahedra that share  a cornercorner with one O(1)Li3Ti2Cr octahedra,  a cornercorner with one O(2)Li3Ti2Cr octahedra,  a cornercorner with one O(3)Li3Ti2Cr octahedra,  a cornercorner with one O(4)Li3Ti2Cr octahedra,  a cornercorner with one O(12)Li3Ti3 octahedra,  a cornercorner with one O(19)Li3TiCr2 octahedra,  an edgeedge with one O(3)Li3Ti2Cr octahedra,  an edgeedge with one O(4)Li3Ti2Cr octahedra,  an edgeedge with one O(7)Li3Ti2Cr octahedra,  an edgeedge with one O(8)Li3Ti2Cr octahedra,  an edgeedge with one O(11)Li3Ti3 octahedra,  an edgeedge with one O(12)Li3Ti3 octahedra,  an edgeedge with one O(13)Li3Ti3 octahedra,  an edgeedge with one O(15)Li3Ti3 octahedra,  an edgeedge with one O(19)Li3TiCr2 octahedra,  an edgeedge with one O(20)Li3TiCr2 octahedra,  an edgeedge with one O(21)Li3TiCr2 octahedra, and  an edgeedge with one O(24)Li3TiCr2 octahedra. The corner-sharing octahedral tilt angles range from 1-8°. In the seventeenth O site, O(17) is bonded to one Li(1), one Li(2), one Li(5), one Ti(6), one Cr(1), and one Cr(4) atom to form OLi3TiCr2 octahedra that share  a cornercorner with one O(5)Li3Ti2Cr octahedra,  a cornercorner with one O(14)Li3Ti3 octahedra,  a cornercorner with one O(21)Li3TiCr2 octahedra,  a cornercorner with one O(22)Li3TiCr2 octahedra,  a cornercorner with one O(23)Li3TiCr2 octahedra,  a cornercorner with one O(24)Li3TiCr2 octahedra,  an edgeedge with one O(1)Li3Ti2Cr octahedra,  an edgeedge with one O(4)Li3Ti2Cr octahedra,  an edgeedge with one O(5)Li3Ti2Cr octahedra,  an edgeedge with one O(6)Li3Ti2Cr octahedra,  an edgeedge with one O(10)Li3Ti3 octahedra,  an edgeedge with one O(13)Li3Ti3 octahedra,  an edgeedge with one O(14)Li3Ti3 octahedra,  an edgeedge with one O(9)Li3Ti3 octahedra,  an edgeedge with one O(18)Li3TiCr2 octahedra,  an edgeedge with one O(20)Li3TiCr2 octahedra,  an edgeedge with one O(21)Li3TiCr2 octahedra, and  an edgeedge with one O(22)Li3TiCr2 octahedra. The corner-sharing octahedral tilt angles range from 0-4°. In the eighteenth O site, O(18) is bonded to one Li(2), one Li(3), one Li(6), one Ti(7), one Cr(1), and one Cr(2) atom to form OLi3TiCr2 octahedra that share  a cornercorner with one O(6)Li3Ti2Cr octahedra,  a cornercorner with one O(15)Li3Ti3 octahedra,  a cornercorner with one O(21)Li3TiCr2 octahedra,  a cornercorner with one O(22)Li3TiCr2 octahedra,  a cornercorner with one O(23)Li3TiCr2 octahedra,  a cornercorner with one O(24)Li3TiCr2 octahedra,  an edgeedge with one O(1)Li3Ti2Cr octahedra,  an edgeedge with one O(2)Li3Ti2Cr octahedra,  an edgeedge with one O(6)Li3Ti2Cr octahedra,  an edgeedge with one O(7)Li3Ti2Cr octahedra,  an edgeedge with one O(10)Li3Ti3 octahedra,  an edgeedge with one O(11)Li3Ti3 octahedra,  an edgeedge with one O(14)Li3Ti3 octahedra,  an edgeedge with one O(15)Li3Ti3 octahedra,  an edgeedge with one O(17)Li3TiCr2 octahedra,  an edgeedge with one O(19)Li3TiCr2 octahedra,  an edgeedge with one O(22)Li3TiCr2 octahedra, and  an edgeedge with one O(23)Li3TiCr2 octahedra. The corner-sharing octahedral tilt angles range from 0-6°. In the nineteenth O site, O(19) is bonded to one Li(3), one Li(4), one Li(7), one Ti(8), one Cr(2), and one Cr(3) atom to form OLi3TiCr2 octahedra that share  a cornercorner with one O(7)Li3Ti2Cr octahedra,  a cornercorner with one O(16)Li3Ti3 octahedra,  a cornercorner with one O(21)Li3TiCr2 octahedra,  a cornercorner with one O(22)Li3TiCr2 octahedra,  a cornercorner with one O(23)Li3TiCr2 octahedra,  a cornercorner with one O(24)Li3TiCr2 octahedra,  an edgeedge with one O(2)Li3Ti2Cr octahedra,  an edgeedge with one O(3)Li3Ti2Cr octahedra,  an edgeedge with one O(7)Li3Ti2Cr octahedra,  an edgeedge with one O(8)Li3Ti2Cr octahedra,  an edgeedge with one O(11)Li3Ti3 octahedra,  an edgeedge with one O(12)Li3Ti3 octahedra,  an edgeedge with one O(15)Li3Ti3 octahedra,  an edgeedge with one O(16)Li3Ti3 octahedra,  an edgeedge with one O(18)Li3TiCr2 octahedra,  an edgeedge with one O(20)Li3TiCr2 octahedra,  an edgeedge with one O(23)Li3TiCr2 octahedra, and  an edgeedge with one O(24)Li3TiCr2 octahedra. The corner-sharing octahedral tilt angles range from 0-8°. In the twentieth O site, O(20) is bonded to one Li(1), one Li(4), one Li(8), one Ti(5), one Cr(3), and one Cr(4) atom to form OLi3TiCr2 octahedra that share  a cornercorner with one O(8)Li3Ti2Cr octahedra,  a cornercorner with one O(13)Li3Ti3 octahedra,  a cornercorner with one O(21)Li3TiCr2 octahedra,  a cornercorner with one O(22)Li3TiCr2 octahedra,  a cornercorner with one O(23)Li3TiCr2 octahedra,  a cornercorner with one O(24)Li3TiCr2 octahedra,  an edgeedge with one O(3)Li3Ti2Cr octahedra,  an edgeedge with one O(4)Li3Ti2Cr octahedra,  an edgeedge with one O(5)Li3Ti2Cr octahedra,  an edgeedge with one O(8)Li3Ti2Cr octahedra,  an edgeedge with one O(12)Li3Ti3 octahedra,  an edgeedge with one O(13)Li3Ti3 octahedra,  an edgeedge with one O(16)Li3Ti3 octahedra,  an edgeedge with one O(9)Li3Ti3 octahedra,  an edgeedge with one O(17)Li3TiCr2 octahedra,  an edgeedge with one O(19)Li3TiCr2 octahedra,  an edgeedge with one O(21)Li3TiCr2 octahedra, and  an edgeedge with one O(24)Li3TiCr2 octahedra. The corner-sharing octahedral tilt angles range from 1-6°. In the twenty-first O site, O(21) is bonded to one Li(1), one Li(4), one Li(9), one Ti(4), one Cr(1), and one Cr(4) atom to form OLi3TiCr2 octahedra that share  a cornercorner with one O(1)Li3Ti2Cr octahedra,  a cornercorner with one O(12)Li3Ti3 octahedra,  a cornercorner with one O(17)Li3TiCr2 octahedra,  a cornercorner with one O(18)Li3TiCr2 octahedra,  a cornercorner with one O(19)Li3TiCr2 octahedra,  a cornercorner with one O(20)Li3TiCr2 octahedra,  an edgeedge with one O(1)Li3Ti2Cr octahedra,  an edgeedge with one O(4)Li3Ti2Cr octahedra,  an edgeedge with one O(5)Li3Ti2Cr octahedra,  an edgeedge with one O(6)Li3Ti2Cr octahedra,  an edgeedge with one O(12)Li3Ti3 octahedra,  an edgeedge with one O(13)Li3Ti3 octahedra,  an edgeedge with one O(16)Li3Ti3 octahedra,  an edgeedge with one O(9)Li3Ti3 octahedra,  an edgeedge with one O(17)Li3TiCr2 octahedra,  an edgeedge with one O(20)Li3TiCr2 octahedra,  an edgeedge with one O(22)Li3TiCr2 octahedra, and  an edgeedge with one O(24)Li3TiCr2 octahedra. The corner-sharing octahedral tilt angles range from 0-6°. In the twenty-second O site, O(22) is bonded to one Li(1), one Li(10), one Li(2), one Ti(1), one Cr(1), and one Cr(2) atom to form OLi3TiCr2 octahedra that share  a cornercorner with one O(2)Li3Ti2Cr octahedra,  a cornercorner with one O(9)Li3Ti3 octahedra,  a cornercorner with one O(17)Li3TiCr2 octahedra,  a cornercorner with one O(18)Li3TiCr2 octahedra,  a cornercorner with one O(19)Li3TiCr2 octahedra,  a cornercorner with one O(20)Li3TiCr2 octahedra,  an edgeedge with one O(1)Li3Ti2Cr octahedra,  an edgeedge with one O(2)Li3Ti2Cr octahedra,  an edgeedge with one O(6)Li3Ti2Cr octahedra,  an edgeedge with one O(7)Li3Ti2Cr octahedra,  an edgeedge with one O(10)Li3Ti3 octahedra,  an edgeedge with one O(13)Li3Ti3 octahedra,  an edgeedge with one O(14)Li3Ti3 octahedra,  an edgeedge with one O(9)Li3Ti3 octahedra,  an edgeedge with one O(17)Li3TiCr2 octahedra,  an edgeedge with one O(18)Li3TiCr2 octahedra,  an edgeedge with one O(21)Li3TiCr2 octahedra, and  an edgeedge with one O(23)Li3TiCr2 octahedra. The corner-sharing octahedral tilt angles range from 1-4°. In the twenty-third O site, O(23) is bonded to one Li(11), one Li(2), one Li(3), one Ti(2), one Cr(2), and one Cr(3) atom to form OLi3TiCr2 octahedra that share  a cornercorner with one O(3)Li3Ti2Cr octahedra,  a cornercorner with one O(10)Li3Ti3 octahedra,  a cornercorner with one O(17)Li3TiCr2 octahedra,  a cornercorner with one O(18)Li3TiCr2 octahedra,  a cornercorner with one O(19)Li3TiCr2 octahedra,  a cornercorner with one O(20)Li3TiCr2 octahedra,  an edgeedge with one O(2)Li3Ti2Cr octahedra,  an edgeedge with one O(3)Li3Ti2Cr octahedra,  an edgeedge with one O(7)Li3Ti2Cr octahedra,  an edgeedge with one O(8)Li3Ti2Cr octahedra,  an edgeedge with one O(10)Li3Ti3 octahedra,  an edgeedge with one O(11)Li3Ti3 octahedra,  an edgeedge with one O(14)Li3Ti3 octahedra,  an edgeedge with one O(15)Li3Ti3 octahedra,  an edgeedge with one O(18)Li3TiCr2 octahedra,  an edgeedge with one O(19)Li3TiCr2 octahedra,  an edgeedge with one O(22)Li3TiCr2 octahedra, and  an edgeedge with one O(24)Li3TiCr2 octahedra. The corner-sharing octahedral tilt angles range from 0-5°. In the twenty-fourth O site, O(24) is bonded to one Li(12), one Li(3), one Li(4), one Ti(3), one Cr(3), and one Cr(4) atom to form OLi3TiCr2 octahedra that share  a cornercorner with one O(4)Li3Ti2Cr octahedra,  a cornercorner with one O(11)Li3Ti3 octahedra,  a cornercorner with one O(17)Li3TiCr2 octahedra,  a cornercorner with one O(18)Li3TiCr2 octahedra,  a cornercorner with one O(19)Li3TiCr2 octahedra,  a cornercorner with one O(20)Li3TiCr2 octahedra,  an edgeedge with one O(3)Li3Ti2Cr octahedra,  an edgeedge with one O(4)Li3Ti2Cr octahedra,  an edgeedge with one O(5)Li3Ti2Cr octahedra,  an edgeedge with one O(8)Li3Ti2Cr octahedra,  an edgeedge with one O(11)Li3Ti3 octahedra,  an edgeedge with one O(12)Li3Ti3 octahedra,  an edgeedge with one O(15)Li3Ti3 octahedra,  an edgeedge with one O(16)Li3Ti3 octahedra,  an edgeedge with one O(19)Li3TiCr2 octahedra,  an edgeedge with one O(20)Li3TiCr2 octahedra,  an edgeedge with one O(21)Li3TiCr2 octahedra, and  an edgeedge with one O(23)Li3TiCr2 octahedra. The corner-sharing octahedral tilt angles range from 0-8°. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li3Ti2CrO6
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   2.942
_cell_length_b   5.991
_cell_length_c   6.714
_cell_angle_alpha   104.467
_cell_angle_beta   102.426
_cell_angle_gamma   90.022
_symmetry_Int_Tables_number   1
_cell_volume   111.701
_cell_formula_units_Z   1
loop_
 _symmetry_equiv_pos_site_id
 _symmetry_equiv_pos_as_xyz
  1  'x, y, z'
loop_
 _atom_site_type_symbol
 _atom_site_label
 _atom_site_symmetry_multiplicity
 _atom_site_fract_x
 _atom_site_fract_y
 _atom_site_fract_z
 _atom_site_occupancy
  Cr  Cr0  1  0.334  0.667  0.667  1.0
  Li  Li1  1  0.333  0.167  0.667  1.0
  Li  Li2  1  0.996  0.506  0.992  1.0
  Li  Li3  1  0.670  0.827  0.341  1.0
  O  O4  1  0.494  0.764  0.988  1.0
  O  O5  1  0.172  0.569  0.345  1.0
  O  O6  1  0.172  0.086  0.334  1.0
  O  O7  1  0.494  0.248  0.999  1.0
  O  O8  1  0.827  0.430  0.653  1.0
  O  O9  1  0.840  0.903  0.680  1.0
  Ti  Ti10  1  0.001  0.012  0.010  1.0
  Ti  Ti11  1  0.666  0.322  0.323  1.0
[/CIF]
.