The material described by Li5Ti2Mn3O10 is Caswellsilverite-derived structured and crystallizes in the triclinic P1 space group. There are ten inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(11), one O(17), one O(19), one O(3), one O(7), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra,  a cornercorner with one Mn(5)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra,  an edgeedge with one Mn(5)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, edges with two equivalent Li(7)O6 octahedra, edges with two equivalent Li(9)O6 octahedra, and edges with two equivalent Ti(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-14°. In the second Li site, Li(2) is bonded to one O(10), one O(12), one O(18), one O(20), one O(4), and one O(8) atom to form LiO6 octahedra that share  a cornercorner with one Li(6)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Ti(4)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra,  a cornercorner with one Mn(6)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(6)O6 octahedra, edges with two equivalent Li(10)O6 octahedra, edges with two equivalent Li(6)O6 octahedra, edges with two equivalent Li(8)O6 octahedra, and edges with two equivalent Ti(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-13°. In the third Li site, Li(3) is bonded to one O(1), one O(13), one O(16), one O(3), one O(5), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Ti(4)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  a cornercorner with one Mn(6)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(10)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Mn(6)O6 octahedra, edges with two equivalent Li(7)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-16°. In the fourth Li site, Li(4) is bonded to one O(10), one O(14), one O(15), one O(2), one O(4), and one O(6) atom to form LiO6 octahedra that share  a cornercorner with one Li(6)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 Mn(3)O6 octahedra,  a cornercorner with one Mn(5)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Mn(5)O6 octahedra, edges with two equivalent Li(8)O6 octahedra, edges with two equivalent Ti(2)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, and edges with two equivalent Mn(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-15°. In the fifth Li site, Li(5) is bonded to one O(11), one O(13), one O(17), one O(3), one O(7), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(7)O6 octahedra,  a cornercorner with one Li(9)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(4)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Mn(5)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(7)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, and edges with two equivalent Ti(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-10°. In the sixth Li site, Li(6) is bonded to one O(10), one O(12), one O(14), one O(18), one O(4), and one O(8) atom to form LiO6 octahedra that share  a cornercorner with one Li(10)O6 octahedra,  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(8)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(4)O6 octahedra,  an edgeedge with one Li(10)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra,  an edgeedge with one Mn(6)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(8)O6 octahedra, edges with two equivalent Ti(2)O6 octahedra, and edges with two equivalent Ti(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-10°. In the seventh Li site, Li(7) is bonded to one O(1), one O(11), one O(13), one O(17), one O(3), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  a cornercorner with one Mn(5)O6 octahedra,  a cornercorner with one Mn(6)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, and edges with two equivalent Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-13°. In the eighth Li site, Li(8) is bonded to one O(10), one O(12), one O(14), one O(18), one O(2), and one O(4) atom to form LiO6 octahedra that share  a cornercorner with one Li(6)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Ti(4)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra,  a cornercorner with one Mn(5)O6 octahedra,  a cornercorner with one Mn(6)O6 octahedra,  an edgeedge with one Li(10)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Li(6)O6 octahedra, and edges with two equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-13°. In the ninth Li site, Li(9) is bonded to one O(11), one O(15), one O(17), one O(19), one O(6), and one O(7) atom to form LiO6 octahedra that share  a cornercorner with one Li(5)O6 octahedra,  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 Mn(3)O6 octahedra,  a cornercorner with one Mn(5)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 Mn(3)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Ti(3)O6 octahedra, edges with two equivalent Mn(4)O6 octahedra, and edges with two equivalent Mn(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-17°. In the tenth Li site, Li(10) is bonded to one O(12), one O(16), one O(18), one O(20), one O(5), and one O(8) atom to form LiO6 octahedra that share  a cornercorner with one Li(6)O6 octahedra,  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Ti(4)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  a cornercorner with one Mn(6)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Ti(4)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, and edges with two equivalent Mn(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-17°. There are four inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(1), one O(13), one O(17), one O(3), one O(5), 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(3)O6 octahedra,  a cornercorner with one Li(7)O6 octahedra,  a cornercorner with one Li(9)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(6)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, edges with two equivalent Li(7)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-16°. In the second Ti site, Ti(2) is bonded to one O(10), one O(14), one O(18), one O(2), one O(4), and one O(6) atom to form TiO6 octahedra that share  a cornercorner with one Li(10)O6 octahedra,  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(8)O6 octahedra,  a cornercorner with one Li(9)O6 octahedra,  a cornercorner with one Mn(4)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra,  an edgeedge with one Mn(5)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Li(6)O6 octahedra, edges with two equivalent Li(8)O6 octahedra, and edges with two equivalent Mn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-15°. In the third Ti site, Ti(3) is bonded to one O(11), one O(15), one O(17), one O(19), one O(3), and one O(7) atom to form TiO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(7)O6 octahedra,  a cornercorner with one Li(9)O6 octahedra,  a cornercorner with one Mn(4)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, edges with two equivalent Li(9)O6 octahedra, and edges with two equivalent Mn(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-17°. In the fourth Ti site, Ti(4) is bonded to one O(12), one O(16), one O(18), one O(20), one O(4), and one O(8) atom to form TiO6 octahedra that share  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(8)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra, edges with two equivalent Li(10)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(6)O6 octahedra, and edges with two equivalent Mn(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-17°. There are six inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(1), one O(13), one O(16), one O(20), one O(5), and one O(8) atom to form MnO6 octahedra that share  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Li(6)O6 octahedra,  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ti(4)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  a cornercorner with one Mn(6)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra, edges with two equivalent Li(10)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, and edges with two equivalent Mn(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-8°. In the second Mn site, Mn(2) is bonded to one O(1), one O(13), one O(16), one O(20), one O(5), and one O(9) atom to form MnO6 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(7)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  an edgeedge with one Li(10)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, and edges with two equivalent Mn(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-13°. In the third Mn site, Mn(3) is bonded to one O(10), one O(14), one O(15), one O(19), one O(2), and one O(6) atom to form MnO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(8)O6 octahedra,  a cornercorner with one Li(9)O6 octahedra,  a cornercorner with one Mn(4)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(3)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Ti(2)O6 octahedra, edges with two equivalent Mn(4)O6 octahedra, and edges with two equivalent Mn(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-13°. In the fourth Mn site, Mn(4) is bonded to one O(14), one O(15), one O(19), one O(2), one O(6), and one O(7) atom to form MnO6 octahedra that share  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Li(6)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra,  a cornercorner with one Mn(5)O6 octahedra,  an edgeedge with one Li(1)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, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Li(9)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, and edges with two equivalent Mn(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-8°. In the fifth Mn site, Mn(5) is bonded to one O(11), one O(15), one O(19), one O(2), one O(6), and one O(7) atom to form MnO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(4)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,  a cornercorner with one Mn(4)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra, edges with two equivalent Li(9)O6 octahedra, edges with two equivalent Ti(3)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, and edges with two equivalent Mn(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-14°. In the sixth Mn site, Mn(6) is bonded to one O(1), one O(12), one O(16), one O(20), one O(5), and one O(8) atom to form MnO6 octahedra that share  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(7)O6 octahedra,  a cornercorner with one Li(8)O6 octahedra,  a cornercorner with one Mn(1)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 Ti(1)O6 octahedra, edges with two equivalent Li(10)O6 octahedra, edges with two equivalent Ti(4)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-13°. There are twenty inequivalent O sites. In the first O site, O(1) is bonded to one Li(3), one Li(7), one Ti(1), one Mn(1), one Mn(2), and one Mn(6) atom to form OLi2TiMn3 octahedra that share  a cornercorner with one O(20)Li2TiMn3 octahedra,  a cornercorner with one O(5)Li2TiMn3 octahedra,  a cornercorner with one O(13)Li3TiMn2 octahedra,  a cornercorner with one O(3)Li4Ti2 octahedra,  a cornercorner with one O(11)Li4TiMn octahedra,  a cornercorner with one O(12)Li4TiMn octahedra,  an edgeedge with one O(20)Li2TiMn3 octahedra,  an edgeedge with one O(8)Li3TiMn2 octahedra,  an edgeedge with one O(17)Li4Ti2 octahedra,  an edgeedge with one O(3)Li4Ti2 octahedra, edges with two equivalent O(16)Li2TiMn3 octahedra, edges with two equivalent O(5)Li2TiMn3 octahedra, edges with two equivalent O(13)Li3TiMn2 octahedra, and edges with two equivalent O(9)Li4TiMn octahedra. The corner-sharing octahedral tilt angles range from 1-12°. In the second O site, O(2) is bonded to one Li(4), one Li(8), one Ti(2), one Mn(3), one Mn(4), and one Mn(5) atom to form OLi2TiMn3 octahedra that share  a cornercorner with one O(19)Li2TiMn3 octahedra,  a cornercorner with one O(6)Li2TiMn3 octahedra,  a cornercorner with one O(14)Li3TiMn2 octahedra,  a cornercorner with one O(4)Li4Ti2 octahedra,  a cornercorner with one O(11)Li4TiMn octahedra,  a cornercorner with one O(12)Li4TiMn octahedra,  an edgeedge with one O(19)Li2TiMn3 octahedra,  an edgeedge with one O(7)Li3TiMn2 octahedra,  an edgeedge with one O(18)Li4Ti2 octahedra,  an edgeedge with one O(4)Li4Ti2 octahedra, edges with two equivalent O(15)Li2TiMn3 octahedra, edges with two equivalent O(6)Li2TiMn3 octahedra, edges with two equivalent O(14)Li3TiMn2 octahedra, and edges with two equivalent O(10)Li4TiMn octahedra. The corner-sharing octahedral tilt angles range from 1-12°. In the third O site, O(3) is bonded to one Li(1), one Li(3), one Li(5), one Li(7), one Ti(1), and one Ti(3) atom to form OLi4Ti2 octahedra that share  a cornercorner with one O(1)Li2TiMn3 octahedra,  a cornercorner with one O(15)Li2TiMn3 octahedra,  a cornercorner with one O(16)Li2TiMn3 octahedra,  a cornercorner with one O(7)Li3TiMn2 octahedra,  a cornercorner with one O(17)Li4Ti2 octahedra,  a cornercorner with one O(9)Li4TiMn octahedra,  an edgeedge with one O(1)Li2TiMn3 octahedra,  an edgeedge with one O(19)Li2TiMn3 octahedra,  an edgeedge with one O(5)Li2TiMn3 octahedra,  an edgeedge with one O(7)Li3TiMn2 octahedra, edges with two equivalent O(13)Li3TiMn2 octahedra, edges with two equivalent O(17)Li4Ti2 octahedra, edges with two equivalent O(11)Li4TiMn octahedra, and edges with two equivalent O(9)Li4TiMn octahedra. The corner-sharing octahedral tilt angles range from 3-12°. In the fourth O site, O(4) is bonded to one Li(2), one Li(4), one Li(6), one Li(8), one Ti(2), and one Ti(4) atom to form OLi4Ti2 octahedra that share  a cornercorner with one O(15)Li2TiMn3 octahedra,  a cornercorner with one O(16)Li2TiMn3 octahedra,  a cornercorner with one O(2)Li2TiMn3 octahedra,  a cornercorner with one O(8)Li3TiMn2 octahedra,  a cornercorner with one O(18)Li4Ti2 octahedra,  a cornercorner with one O(10)Li4TiMn octahedra,  an edgeedge with one O(2)Li2TiMn3 octahedra,  an edgeedge with one O(20)Li2TiMn3 octahedra,  an edgeedge with one O(6)Li2TiMn3 octahedra,  an edgeedge with one O(8)Li3TiMn2 octahedra, edges with two equivalent O(14)Li3TiMn2 octahedra, edges with two equivalent O(18)Li4Ti2 octahedra, edges with two equivalent O(10)Li4TiMn octahedra, and edges with two equivalent O(12)Li4TiMn octahedra. The corner-sharing octahedral tilt angles range from 3-12°. In the fifth O site, O(5) is bonded to one Li(10), one Li(3), one Ti(1), one Mn(1), one Mn(2), and one Mn(6) atom to form OLi2TiMn3 octahedra that share  a cornercorner with one O(1)Li2TiMn3 octahedra,  a cornercorner with one O(16)Li2TiMn3 octahedra,  a cornercorner with one O(8)Li3TiMn2 octahedra,  a cornercorner with one O(17)Li4Ti2 octahedra,  a cornercorner with one O(18)Li4Ti2 octahedra,  a cornercorner with one O(9)Li4TiMn octahedra,  an edgeedge with one O(8)Li3TiMn2 octahedra,  an edgeedge with one O(3)Li4Ti2 octahedra,  an edgeedge with one O(12)Li4TiMn octahedra,  an edgeedge with one O(9)Li4TiMn octahedra, edges with two equivalent O(1)Li2TiMn3 octahedra, edges with two equivalent O(16)Li2TiMn3 octahedra, edges with two equivalent O(20)Li2TiMn3 octahedra, and edges with two equivalent O(13)Li3TiMn2 octahedra. The corner-sharing octahedral tilt angles range from 1-13°. In the sixth O site, O(6) is bonded to one Li(4), one Li(9), one Ti(2), one Mn(3), one Mn(4), and one Mn(5) atom to form OLi2TiMn3 octahedra that share  a cornercorner with one O(15)Li2TiMn3 octahedra,  a cornercorner with one O(2)Li2TiMn3 octahedra,  a cornercorner with one O(7)Li3TiMn2 octahedra,  a cornercorner with one O(17)Li4Ti2 octahedra,  a cornercorner with one O(18)Li4Ti2 octahedra,  a cornercorner with one O(10)Li4TiMn octahedra,  an edgeedge with one O(7)Li3TiMn2 octahedra,  an edgeedge with one O(4)Li4Ti2 octahedra,  an edgeedge with one O(10)Li4TiMn octahedra,  an edgeedge with one O(11)Li4TiMn octahedra, edges with two equivalent O(15)Li2TiMn3 octahedra, edges with two equivalent O(19)Li2TiMn3 octahedra, edges with two equivalent O(2)Li2TiMn3 octahedra, and edges with two equivalent O(14)Li3TiMn2 octahedra. The corner-sharing octahedral tilt angles range from 1-13°. In the seventh O site, O(7) is bonded to one Li(1), one Li(5), one Li(9), one Ti(3), one Mn(4), and one Mn(5) atom to form OLi3TiMn2 octahedra that share  a cornercorner with one O(19)Li2TiMn3 octahedra,  a cornercorner with one O(6)Li2TiMn3 octahedra,  a cornercorner with one O(13)Li3TiMn2 octahedra,  a cornercorner with one O(14)Li3TiMn2 octahedra,  a cornercorner with one O(3)Li4Ti2 octahedra,  a cornercorner with one O(11)Li4TiMn octahedra,  an edgeedge with one O(2)Li2TiMn3 octahedra,  an edgeedge with one O(6)Li2TiMn3 octahedra,  an edgeedge with one O(3)Li4Ti2 octahedra,  an edgeedge with one O(9)Li4TiMn octahedra, edges with two equivalent O(15)Li2TiMn3 octahedra, edges with two equivalent O(19)Li2TiMn3 octahedra, edges with two equivalent O(17)Li4Ti2 octahedra, and edges with two equivalent O(11)Li4TiMn octahedra. The corner-sharing octahedral tilt angles range from 0-13°. In the eighth O site, O(8) is bonded to one Li(10), one Li(2), one Li(6), one Ti(4), one Mn(1), and one Mn(6) atom to form OLi3TiMn2 octahedra that share  a cornercorner with one O(20)Li2TiMn3 octahedra,  a cornercorner with one O(5)Li2TiMn3 octahedra,  a cornercorner with one O(13)Li3TiMn2 octahedra,  a cornercorner with one O(14)Li3TiMn2 octahedra,  a cornercorner with one O(4)Li4Ti2 octahedra,  a cornercorner with one O(12)Li4TiMn octahedra,  an edgeedge with one O(1)Li2TiMn3 octahedra,  an edgeedge with one O(5)Li2TiMn3 octahedra,  an edgeedge with one O(4)Li4Ti2 octahedra,  an edgeedge with one O(10)Li4TiMn octahedra, edges with two equivalent O(16)Li2TiMn3 octahedra, edges with two equivalent O(20)Li2TiMn3 octahedra, edges with two equivalent O(18)Li4Ti2 octahedra, and edges with two equivalent O(12)Li4TiMn octahedra. The corner-sharing octahedral tilt angles range from 0-12°. In the ninth O site, O(9) is bonded to one Li(1), one Li(3), one Li(5), one Li(7), one Ti(1), and one Mn(2) atom to form OLi4TiMn octahedra that share  a cornercorner with one O(19)Li2TiMn3 octahedra,  a cornercorner with one O(20)Li2TiMn3 octahedra,  a cornercorner with one O(5)Li2TiMn3 octahedra,  a cornercorner with one O(13)Li3TiMn2 octahedra,  a cornercorner with one O(3)Li4Ti2 octahedra,  a cornercorner with one O(11)Li4TiMn octahedra,  an edgeedge with one O(16)Li2TiMn3 octahedra,  an edgeedge with one O(5)Li2TiMn3 octahedra,  an edgeedge with one O(7)Li3TiMn2 octahedra,  an edgeedge with one O(11)Li4TiMn octahedra, edges with two equivalent O(1)Li2TiMn3 octahedra, edges with two equivalent O(13)Li3TiMn2 octahedra, edges with two equivalent O(17)Li4Ti2 octahedra, and edges with two equivalent O(3)Li4Ti2 octahedra. The corner-sharing octahedral tilt angles range from 2-12°. In the tenth O site, O(10) is bonded to one Li(2), one Li(4), one Li(6), one Li(8), one Ti(2), and one Mn(3) atom to form OLi4TiMn octahedra that share  a cornercorner with one O(19)Li2TiMn3 octahedra,  a cornercorner with one O(20)Li2TiMn3 octahedra,  a cornercorner with one O(6)Li2TiMn3 octahedra,  a cornercorner with one O(14)Li3TiMn2 octahedra,  a cornercorner with one O(4)Li4Ti2 octahedra,  a cornercorner with one O(12)Li4TiMn octahedra,  an edgeedge with one O(15)Li2TiMn3 octahedra,  an edgeedge with one O(6)Li2TiMn3 octahedra,  an edgeedge with one O(8)Li3TiMn2 octahedra,  an edgeedge with one O(12)Li4TiMn octahedra, edges with two equivalent O(2)Li2TiMn3 octahedra, edges with two equivalent O(14)Li3TiMn2 octahedra, edges with two equivalent O(18)Li4Ti2 octahedra, and edges with two equivalent O(4)Li4Ti2 octahedra. The corner-sharing octahedral tilt angles range from 2-12°. In the eleventh O site, O(11) is bonded to one Li(1), one Li(5), one Li(7), one Li(9), one Ti(3), and one Mn(5) atom to form OLi4TiMn octahedra that share  a cornercorner with one O(1)Li2TiMn3 octahedra,  a cornercorner with one O(15)Li2TiMn3 octahedra,  a cornercorner with one O(2)Li2TiMn3 octahedra,  a cornercorner with one O(7)Li3TiMn2 octahedra,  a cornercorner with one O(17)Li4Ti2 octahedra,  a cornercorner with one O(9)Li4TiMn octahedra,  an edgeedge with one O(15)Li2TiMn3 octahedra,  an edgeedge with one O(6)Li2TiMn3 octahedra,  an edgeedge with one O(13)Li3TiMn2 octahedra,  an edgeedge with one O(9)Li4TiMn octahedra, edges with two equivalent O(19)Li2TiMn3 octahedra, edges with two equivalent O(7)Li3TiMn2 octahedra, edges with two equivalent O(17)Li4Ti2 octahedra, and edges with two equivalent O(3)Li4Ti2 octahedra. The corner-sharing octahedral tilt angles range from 2-12°. In the twelfth O site, O(12) is bonded to one Li(10), one Li(2), one Li(6), one Li(8), one Ti(4), and one Mn(6) atom to form OLi4TiMn octahedra that share  a cornercorner with one O(1)Li2TiMn3 octahedra,  a cornercorner with one O(16)Li2TiMn3 octahedra,  a cornercorner with one O(2)Li2TiMn3 octahedra,  a cornercorner with one O(8)Li3TiMn2 octahedra,  a cornercorner with one O(18)Li4Ti2 octahedra,  a cornercorner with one O(10)Li4TiMn octahedra,  an edgeedge with one O(16)Li2TiMn3 octahedra,  an edgeedge with one O(5)Li2TiMn3 octahedra,  an edgeedge with one O(14)Li3TiMn2 octahedra,  an edgeedge with one O(10)Li4TiMn octahedra, edges with two equivalent O(20)Li2TiMn3 octahedra, edges with two equivalent O(8)Li3TiMn2 octahedra, edges with two equivalent O(18)Li4Ti2 octahedra, and edges with two equivalent O(4)Li4Ti2 octahedra. The corner-sharing octahedral tilt angles range from 2-12°. In the thirteenth O site, O(13) is bonded to one Li(3), one Li(5), one Li(7), one Ti(1), one Mn(1), and one Mn(2) atom to form OLi3TiMn2 octahedra that share  a cornercorner with one O(1)Li2TiMn3 octahedra,  a cornercorner with one O(16)Li2TiMn3 octahedra,  a cornercorner with one O(7)Li3TiMn2 octahedra,  a cornercorner with one O(8)Li3TiMn2 octahedra,  a cornercorner with one O(17)Li4Ti2 octahedra,  a cornercorner with one O(9)Li4TiMn octahedra,  an edgeedge with one O(16)Li2TiMn3 octahedra,  an edgeedge with one O(20)Li2TiMn3 octahedra,  an edgeedge with one O(17)Li4Ti2 octahedra,  an edgeedge with one O(11)Li4TiMn octahedra, edges with two equivalent O(1)Li2TiMn3 octahedra, edges with two equivalent O(5)Li2TiMn3 octahedra, edges with two equivalent O(3)Li4Ti2 octahedra, and edges with two equivalent O(9)Li4TiMn octahedra. The corner-sharing octahedral tilt angles range from 0-13°. In the fourteenth O site, O(14) is bonded to one Li(4), one Li(6), one Li(8), one Ti(2), one Mn(3), and one Mn(4) atom to form OLi3TiMn2 octahedra that share  a cornercorner with one O(15)Li2TiMn3 octahedra,  a cornercorner with one O(2)Li2TiMn3 octahedra,  a cornercorner with one O(7)Li3TiMn2 octahedra,  a cornercorner with one O(8)Li3TiMn2 octahedra,  a cornercorner with one O(18)Li4Ti2 octahedra,  a cornercorner with one O(10)Li4TiMn octahedra,  an edgeedge with one O(15)Li2TiMn3 octahedra,  an edgeedge with one O(19)Li2TiMn3 octahedra,  an edgeedge with one O(18)Li4Ti2 octahedra,  an edgeedge with one O(12)Li4TiMn octahedra, edges with two equivalent O(2)Li2TiMn3 octahedra, edges with two equivalent O(6)Li2TiMn3 octahedra, edges with two equivalent O(4)Li4Ti2 octahedra, and edges with two equivalent O(10)Li4TiMn octahedra. The corner-sharing octahedral tilt angles range from 0-11°. In the fifteenth O site, O(15) is bonded to one Li(4), one Li(9), one Ti(3), one Mn(3), one Mn(4), and one Mn(5) atom to form OLi2TiMn3 octahedra that share  a cornercorner with one O(19)Li2TiMn3 octahedra,  a cornercorner with one O(6)Li2TiMn3 octahedra,  a cornercorner with one O(14)Li3TiMn2 octahedra,  a cornercorner with one O(3)Li4Ti2 octahedra,  a cornercorner with one O(4)Li4Ti2 octahedra,  a cornercorner with one O(11)Li4TiMn octahedra,  an edgeedge with one O(14)Li3TiMn2 octahedra,  an edgeedge with one O(17)Li4Ti2 octahedra,  an edgeedge with one O(10)Li4TiMn octahedra,  an edgeedge with one O(11)Li4TiMn octahedra, edges with two equivalent O(19)Li2TiMn3 octahedra, edges with two equivalent O(2)Li2TiMn3 octahedra, edges with two equivalent O(6)Li2TiMn3 octahedra, and edges with two equivalent O(7)Li3TiMn2 octahedra. The corner-sharing octahedral tilt angles range from 1-12°. In the sixteenth O site, O(16) is bonded to one Li(10), one Li(3), one Ti(4), one Mn(1), one Mn(2), and one Mn(6) atom to form OLi2TiMn3 octahedra that share  a cornercorner with one O(20)Li2TiMn3 octahedra,  a cornercorner with one O(5)Li2TiMn3 octahedra,  a cornercorner with one O(13)Li3TiMn2 octahedra,  a cornercorner with one O(3)Li4Ti2 octahedra,  a cornercorner with one O(4)Li4Ti2 octahedra,  a cornercorner with one O(12)Li4TiMn octahedra,  an edgeedge with one O(13)Li3TiMn2 octahedra,  an edgeedge with one O(18)Li4Ti2 octahedra,  an edgeedge with one O(12)Li4TiMn octahedra,  an edgeedge with one O(9)Li4TiMn octahedra, edges with two equivalent O(1)Li2TiMn3 octahedra, edges with two equivalent O(20)Li2TiMn3 octahedra, edges with two equivalent O(5)Li2TiMn3 octahedra, and edges with two equivalent O(8)Li3TiMn2 octahedra. The corner-sharing octahedral tilt angles range from 1-13°. In the seventeenth O site, O(17) is bonded to one Li(1), one Li(5), one Li(7), one Li(9), one Ti(1), and one Ti(3) atom to form OLi4Ti2 octahedra that share  a cornercorner with one O(19)Li2TiMn3 octahedra,  a cornercorner with one O(5)Li2TiMn3 octahedra,  a cornercorner with one O(6)Li2TiMn3 octahedra,  a cornercorner with one O(13)Li3TiMn2 octahedra,  a cornercorner with one O(3)Li4Ti2 octahedra,  a cornercorner with one O(11)Li4TiMn octahedra,  an edgeedge with one O(1)Li2TiMn3 octahedra,  an edgeedge with one O(15)Li2TiMn3 octahedra,  an edgeedge with one O(19)Li2TiMn3 octahedra,  an edgeedge with one O(13)Li3TiMn2 octahedra, edges with two equivalent O(7)Li3TiMn2 octahedra, edges with two equivalent O(3)Li4Ti2 octahedra, edges with two equivalent O(11)Li4TiMn octahedra, and edges with two equivalent O(9)Li4TiMn octahedra. The corner-sharing octahedral tilt angles range from 2-13°. In the eighteenth O site, O(18) is bonded to one Li(10), one Li(2), one Li(6), one Li(8), one Ti(2), and one Ti(4) atom to form OLi4Ti2 octahedra that share  a cornercorner with one O(20)Li2TiMn3 octahedra,  a cornercorner with one O(5)Li2TiMn3 octahedra,  a cornercorner with one O(6)Li2TiMn3 octahedra,  a cornercorner with one O(14)Li3TiMn2 octahedra,  a cornercorner with one O(4)Li4Ti2 octahedra,  a cornercorner with one O(12)Li4TiMn octahedra,  an edgeedge with one O(16)Li2TiMn3 octahedra,  an edgeedge with one O(2)Li2TiMn3 octahedra,  an edgeedge with one O(20)Li2TiMn3 octahedra,  an edgeedge with one O(14)Li3TiMn2 octahedra, edges with two equivalent O(8)Li3TiMn2 octahedra, edges with two equivalent O(4)Li4Ti2 octahedra, edges with two equivalent O(10)Li4TiMn octahedra, and edges with two equivalent O(12)Li4TiMn octahedra. The corner-sharing octahedral tilt angles range from 2-13°. In the nineteenth O site, O(19) is bonded to one Li(1), one Li(9), one Ti(3), one Mn(3), one Mn(4), and one Mn(5) atom to form OLi2TiMn3 octahedra that share  a cornercorner with one O(15)Li2TiMn3 octahedra,  a cornercorner with one O(2)Li2TiMn3 octahedra,  a cornercorner with one O(7)Li3TiMn2 octahedra,  a cornercorner with one O(17)Li4Ti2 octahedra,  a cornercorner with one O(10)Li4TiMn octahedra,  a cornercorner with one O(9)Li4TiMn octahedra,  an edgeedge with one O(2)Li2TiMn3 octahedra,  an edgeedge with one O(14)Li3TiMn2 octahedra,  an edgeedge with one O(17)Li4Ti2 octahedra,  an edgeedge with one O(3)Li4Ti2 octahedra, edges with two equivalent O(15)Li2TiMn3 octahedra, edges with two equivalent O(6)Li2TiMn3 octahedra, edges with two equivalent O(7)Li3TiMn2 octahedra, and edges with two equivalent O(11)Li4TiMn octahedra. The corner-sharing octahedral tilt angles range from 1-12°. In the twentieth O site, O(20) is bonded to one Li(10), one Li(2), one Ti(4), one Mn(1), one Mn(2), and one Mn(6) atom to form OLi2TiMn3 octahedra that share  a cornercorner with one O(1)Li2TiMn3 octahedra,  a cornercorner with one O(16)Li2TiMn3 octahedra,  a cornercorner with one O(8)Li3TiMn2 octahedra,  a cornercorner with one O(18)Li4Ti2 octahedra,  a cornercorner with one O(10)Li4TiMn octahedra,  a cornercorner with one O(9)Li4TiMn octahedra,  an edgeedge with one O(1)Li2TiMn3 octahedra,  an edgeedge with one O(13)Li3TiMn2 octahedra,  an edgeedge with one O(18)Li4Ti2 octahedra,  an edgeedge with one O(4)Li4Ti2 octahedra, edges with two equivalent O(16)Li2TiMn3 octahedra, edges with two equivalent O(5)Li2TiMn3 octahedra, edges with two equivalent O(8)Li3TiMn2 octahedra, and edges with two equivalent O(12)Li4TiMn octahedra. The corner-sharing octahedral tilt angles range from 1-12°. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li5Ti2Mn3O10
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.241
_cell_length_b   5.277
_cell_length_c   7.873
_cell_angle_alpha   107.695
_cell_angle_beta   101.251
_cell_angle_gamma   101.470
_symmetry_Int_Tables_number   1
_cell_volume   195.573
_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
  Li  Li0  1  0.218  0.894  0.399  1.0
  Li  Li1  1  0.391  0.295  0.783  1.0
  Li  Li2  1  0.504  0.496  0.505  1.0
  Li  Li3  1  0.783  0.105  0.604  1.0
  Li  Li4  1  0.607  0.706  0.222  1.0
  Mn  Mn5  1  0.998  0.500  0.001  1.0
  Mn  Mn6  1  0.689  0.888  0.898  1.0
  Mn  Mn7  1  0.310  0.113  0.105  1.0
  O  O8  1  0.051  0.066  0.831  1.0
  O  O9  1  0.137  0.329  0.543  1.0
  O  O10  1  0.312  0.684  0.935  1.0
  O  O11  1  0.217  0.496  0.233  1.0
  O  O12  1  0.424  0.887  0.653  1.0
  O  O13  1  0.575  0.113  0.350  1.0
  O  O14  1  0.779  0.504  0.768  1.0
  O  O15  1  0.685  0.316  0.066  1.0
  O  O16  1  0.863  0.670  0.460  1.0
  O  O17  1  0.948  0.934  0.170  1.0
  Ti  Ti18  1  0.100  0.718  0.688  1.0
  Ti  Ti19  1  0.901  0.283  0.315  1.0
[/CIF]
.
The material described by Li5Ti2Mn3O10 is Caswellsilverite-derived structured and crystallizes in the triclinic P1 space group. There are ten inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(11), one O(17), one O(19), one O(3), one O(7), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra,  a cornercorner with one Mn(5)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra,  an edgeedge with one Mn(5)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, edges with two equivalent Li(7)O6 octahedra, edges with two equivalent Li(9)O6 octahedra, and edges with two equivalent Ti(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-14°. In the second Li site, Li(2) is bonded to one O(10), one O(12), one O(18), one O(20), one O(4), and one O(8) atom to form LiO6 octahedra that share  a cornercorner with one Li(6)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Ti(4)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra,  a cornercorner with one Mn(6)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(6)O6 octahedra, edges with two equivalent Li(10)O6 octahedra, edges with two equivalent Li(6)O6 octahedra, edges with two equivalent Li(8)O6 octahedra, and edges with two equivalent Ti(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-13°. In the third Li site, Li(3) is bonded to one O(1), one O(13), one O(16), one O(3), one O(5), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Ti(4)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  a cornercorner with one Mn(6)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(10)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Mn(6)O6 octahedra, edges with two equivalent Li(7)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-16°. In the fourth Li site, Li(4) is bonded to one O(10), one O(14), one O(15), one O(2), one O(4), and one O(6) atom to form LiO6 octahedra that share  a cornercorner with one Li(6)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 Mn(3)O6 octahedra,  a cornercorner with one Mn(5)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Mn(5)O6 octahedra, edges with two equivalent Li(8)O6 octahedra, edges with two equivalent Ti(2)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, and edges with two equivalent Mn(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-15°. In the fifth Li site, Li(5) is bonded to one O(11), one O(13), one O(17), one O(3), one O(7), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(7)O6 octahedra,  a cornercorner with one Li(9)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(4)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Mn(5)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(7)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, and edges with two equivalent Ti(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-10°. In the sixth Li site, Li(6) is bonded to one O(10), one O(12), one O(14), one O(18), one O(4), and one O(8) atom to form LiO6 octahedra that share  a cornercorner with one Li(10)O6 octahedra,  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(8)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(4)O6 octahedra,  an edgeedge with one Li(10)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra,  an edgeedge with one Mn(6)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(8)O6 octahedra, edges with two equivalent Ti(2)O6 octahedra, and edges with two equivalent Ti(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-10°. In the seventh Li site, Li(7) is bonded to one O(1), one O(11), one O(13), one O(17), one O(3), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  a cornercorner with one Mn(5)O6 octahedra,  a cornercorner with one Mn(6)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, and edges with two equivalent Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-13°. In the eighth Li site, Li(8) is bonded to one O(10), one O(12), one O(14), one O(18), one O(2), and one O(4) atom to form LiO6 octahedra that share  a cornercorner with one Li(6)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Ti(4)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra,  a cornercorner with one Mn(5)O6 octahedra,  a cornercorner with one Mn(6)O6 octahedra,  an edgeedge with one Li(10)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Li(6)O6 octahedra, and edges with two equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-13°. In the ninth Li site, Li(9) is bonded to one O(11), one O(15), one O(17), one O(19), one O(6), and one O(7) atom to form LiO6 octahedra that share  a cornercorner with one Li(5)O6 octahedra,  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 Mn(3)O6 octahedra,  a cornercorner with one Mn(5)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 Mn(3)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Ti(3)O6 octahedra, edges with two equivalent Mn(4)O6 octahedra, and edges with two equivalent Mn(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-17°. In the tenth Li site, Li(10) is bonded to one O(12), one O(16), one O(18), one O(20), one O(5), and one O(8) atom to form LiO6 octahedra that share  a cornercorner with one Li(6)O6 octahedra,  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Ti(4)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  a cornercorner with one Mn(6)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Ti(4)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, and edges with two equivalent Mn(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-17°. There are four inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(1), one O(13), one O(17), one O(3), one O(5), 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(3)O6 octahedra,  a cornercorner with one Li(7)O6 octahedra,  a cornercorner with one Li(9)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(6)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, edges with two equivalent Li(7)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-16°. In the second Ti site, Ti(2) is bonded to one O(10), one O(14), one O(18), one O(2), one O(4), and one O(6) atom to form TiO6 octahedra that share  a cornercorner with one Li(10)O6 octahedra,  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(8)O6 octahedra,  a cornercorner with one Li(9)O6 octahedra,  a cornercorner with one Mn(4)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra,  an edgeedge with one Mn(5)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Li(6)O6 octahedra, edges with two equivalent Li(8)O6 octahedra, and edges with two equivalent Mn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-15°. In the third Ti site, Ti(3) is bonded to one O(11), one O(15), one O(17), one O(19), one O(3), and one O(7) atom to form TiO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(7)O6 octahedra,  a cornercorner with one Li(9)O6 octahedra,  a cornercorner with one Mn(4)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, edges with two equivalent Li(9)O6 octahedra, and edges with two equivalent Mn(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-17°. In the fourth Ti site, Ti(4) is bonded to one O(12), one O(16), one O(18), one O(20), one O(4), and one O(8) atom to form TiO6 octahedra that share  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(8)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra, edges with two equivalent Li(10)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(6)O6 octahedra, and edges with two equivalent Mn(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-17°. There are six inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(1), one O(13), one O(16), one O(20), one O(5), and one O(8) atom to form MnO6 octahedra that share  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Li(6)O6 octahedra,  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ti(4)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  a cornercorner with one Mn(6)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra, edges with two equivalent Li(10)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, and edges with two equivalent Mn(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-8°. In the second Mn site, Mn(2) is bonded to one O(1), one O(13), one O(16), one O(20), one O(5), and one O(9) atom to form MnO6 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(7)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  an edgeedge with one Li(10)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, and edges with two equivalent Mn(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-13°. In the third Mn site, Mn(3) is bonded to one O(10), one O(14), one O(15), one O(19), one O(2), and one O(6) atom to form MnO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(8)O6 octahedra,  a cornercorner with one Li(9)O6 octahedra,  a cornercorner with one Mn(4)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(3)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Ti(2)O6 octahedra, edges with two equivalent Mn(4)O6 octahedra, and edges with two equivalent Mn(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-13°. In the fourth Mn site, Mn(4) is bonded to one O(14), one O(15), one O(19), one O(2), one O(6), and one O(7) atom to form MnO6 octahedra that share  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Li(6)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra,  a cornercorner with one Mn(5)O6 octahedra,  an edgeedge with one Li(1)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, edges with two equivalent Li(4)O6 octahedra, edges with two equivalent Li(9)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, and edges with two equivalent Mn(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-8°. In the fifth Mn site, Mn(5) is bonded to one O(11), one O(15), one O(19), one O(2), one O(6), and one O(7) atom to form MnO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(4)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,  a cornercorner with one Mn(4)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra, edges with two equivalent Li(9)O6 octahedra, edges with two equivalent Ti(3)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, and edges with two equivalent Mn(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-14°. In the sixth Mn site, Mn(6) is bonded to one O(1), one O(12), one O(16), one O(20), one O(5), and one O(8) atom to form MnO6 octahedra that share  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(7)O6 octahedra,  a cornercorner with one Li(8)O6 octahedra,  a cornercorner with one Mn(1)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 Ti(1)O6 octahedra, edges with two equivalent Li(10)O6 octahedra, edges with two equivalent Ti(4)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-13°. There are twenty inequivalent O sites. In the first O site, O(1) is bonded to one Li(3), one Li(7), one Ti(1), one Mn(1), one Mn(2), and one Mn(6) atom to form OLi2TiMn3 octahedra that share  a cornercorner with one O(20)Li2TiMn3 octahedra,  a cornercorner with one O(5)Li2TiMn3 octahedra,  a cornercorner with one O(13)Li3TiMn2 octahedra,  a cornercorner with one O(3)Li4Ti2 octahedra,  a cornercorner with one O(11)Li4TiMn octahedra,  a cornercorner with one O(12)Li4TiMn octahedra,  an edgeedge with one O(20)Li2TiMn3 octahedra,  an edgeedge with one O(8)Li3TiMn2 octahedra,  an edgeedge with one O(17)Li4Ti2 octahedra,  an edgeedge with one O(3)Li4Ti2 octahedra, edges with two equivalent O(16)Li2TiMn3 octahedra, edges with two equivalent O(5)Li2TiMn3 octahedra, edges with two equivalent O(13)Li3TiMn2 octahedra, and edges with two equivalent O(9)Li4TiMn octahedra. The corner-sharing octahedral tilt angles range from 1-12°. In the second O site, O(2) is bonded to one Li(4), one Li(8), one Ti(2), one Mn(3), one Mn(4), and one Mn(5) atom to form OLi2TiMn3 octahedra that share  a cornercorner with one O(19)Li2TiMn3 octahedra,  a cornercorner with one O(6)Li2TiMn3 octahedra,  a cornercorner with one O(14)Li3TiMn2 octahedra,  a cornercorner with one O(4)Li4Ti2 octahedra,  a cornercorner with one O(11)Li4TiMn octahedra,  a cornercorner with one O(12)Li4TiMn octahedra,  an edgeedge with one O(19)Li2TiMn3 octahedra,  an edgeedge with one O(7)Li3TiMn2 octahedra,  an edgeedge with one O(18)Li4Ti2 octahedra,  an edgeedge with one O(4)Li4Ti2 octahedra, edges with two equivalent O(15)Li2TiMn3 octahedra, edges with two equivalent O(6)Li2TiMn3 octahedra, edges with two equivalent O(14)Li3TiMn2 octahedra, and edges with two equivalent O(10)Li4TiMn octahedra. The corner-sharing octahedral tilt angles range from 1-12°. In the third O site, O(3) is bonded to one Li(1), one Li(3), one Li(5), one Li(7), one Ti(1), and one Ti(3) atom to form OLi4Ti2 octahedra that share  a cornercorner with one O(1)Li2TiMn3 octahedra,  a cornercorner with one O(15)Li2TiMn3 octahedra,  a cornercorner with one O(16)Li2TiMn3 octahedra,  a cornercorner with one O(7)Li3TiMn2 octahedra,  a cornercorner with one O(17)Li4Ti2 octahedra,  a cornercorner with one O(9)Li4TiMn octahedra,  an edgeedge with one O(1)Li2TiMn3 octahedra,  an edgeedge with one O(19)Li2TiMn3 octahedra,  an edgeedge with one O(5)Li2TiMn3 octahedra,  an edgeedge with one O(7)Li3TiMn2 octahedra, edges with two equivalent O(13)Li3TiMn2 octahedra, edges with two equivalent O(17)Li4Ti2 octahedra, edges with two equivalent O(11)Li4TiMn octahedra, and edges with two equivalent O(9)Li4TiMn octahedra. The corner-sharing octahedral tilt angles range from 3-12°. In the fourth O site, O(4) is bonded to one Li(2), one Li(4), one Li(6), one Li(8), one Ti(2), and one Ti(4) atom to form OLi4Ti2 octahedra that share  a cornercorner with one O(15)Li2TiMn3 octahedra,  a cornercorner with one O(16)Li2TiMn3 octahedra,  a cornercorner with one O(2)Li2TiMn3 octahedra,  a cornercorner with one O(8)Li3TiMn2 octahedra,  a cornercorner with one O(18)Li4Ti2 octahedra,  a cornercorner with one O(10)Li4TiMn octahedra,  an edgeedge with one O(2)Li2TiMn3 octahedra,  an edgeedge with one O(20)Li2TiMn3 octahedra,  an edgeedge with one O(6)Li2TiMn3 octahedra,  an edgeedge with one O(8)Li3TiMn2 octahedra, edges with two equivalent O(14)Li3TiMn2 octahedra, edges with two equivalent O(18)Li4Ti2 octahedra, edges with two equivalent O(10)Li4TiMn octahedra, and edges with two equivalent O(12)Li4TiMn octahedra. The corner-sharing octahedral tilt angles range from 3-12°. In the fifth O site, O(5) is bonded to one Li(10), one Li(3), one Ti(1), one Mn(1), one Mn(2), and one Mn(6) atom to form OLi2TiMn3 octahedra that share  a cornercorner with one O(1)Li2TiMn3 octahedra,  a cornercorner with one O(16)Li2TiMn3 octahedra,  a cornercorner with one O(8)Li3TiMn2 octahedra,  a cornercorner with one O(17)Li4Ti2 octahedra,  a cornercorner with one O(18)Li4Ti2 octahedra,  a cornercorner with one O(9)Li4TiMn octahedra,  an edgeedge with one O(8)Li3TiMn2 octahedra,  an edgeedge with one O(3)Li4Ti2 octahedra,  an edgeedge with one O(12)Li4TiMn octahedra,  an edgeedge with one O(9)Li4TiMn octahedra, edges with two equivalent O(1)Li2TiMn3 octahedra, edges with two equivalent O(16)Li2TiMn3 octahedra, edges with two equivalent O(20)Li2TiMn3 octahedra, and edges with two equivalent O(13)Li3TiMn2 octahedra. The corner-sharing octahedral tilt angles range from 1-13°. In the sixth O site, O(6) is bonded to one Li(4), one Li(9), one Ti(2), one Mn(3), one Mn(4), and one Mn(5) atom to form OLi2TiMn3 octahedra that share  a cornercorner with one O(15)Li2TiMn3 octahedra,  a cornercorner with one O(2)Li2TiMn3 octahedra,  a cornercorner with one O(7)Li3TiMn2 octahedra,  a cornercorner with one O(17)Li4Ti2 octahedra,  a cornercorner with one O(18)Li4Ti2 octahedra,  a cornercorner with one O(10)Li4TiMn octahedra,  an edgeedge with one O(7)Li3TiMn2 octahedra,  an edgeedge with one O(4)Li4Ti2 octahedra,  an edgeedge with one O(10)Li4TiMn octahedra,  an edgeedge with one O(11)Li4TiMn octahedra, edges with two equivalent O(15)Li2TiMn3 octahedra, edges with two equivalent O(19)Li2TiMn3 octahedra, edges with two equivalent O(2)Li2TiMn3 octahedra, and edges with two equivalent O(14)Li3TiMn2 octahedra. The corner-sharing octahedral tilt angles range from 1-13°. In the seventh O site, O(7) is bonded to one Li(1), one Li(5), one Li(9), one Ti(3), one Mn(4), and one Mn(5) atom to form OLi3TiMn2 octahedra that share  a cornercorner with one O(19)Li2TiMn3 octahedra,  a cornercorner with one O(6)Li2TiMn3 octahedra,  a cornercorner with one O(13)Li3TiMn2 octahedra,  a cornercorner with one O(14)Li3TiMn2 octahedra,  a cornercorner with one O(3)Li4Ti2 octahedra,  a cornercorner with one O(11)Li4TiMn octahedra,  an edgeedge with one O(2)Li2TiMn3 octahedra,  an edgeedge with one O(6)Li2TiMn3 octahedra,  an edgeedge with one O(3)Li4Ti2 octahedra,  an edgeedge with one O(9)Li4TiMn octahedra, edges with two equivalent O(15)Li2TiMn3 octahedra, edges with two equivalent O(19)Li2TiMn3 octahedra, edges with two equivalent O(17)Li4Ti2 octahedra, and edges with two equivalent O(11)Li4TiMn octahedra. The corner-sharing octahedral tilt angles range from 0-13°. In the eighth O site, O(8) is bonded to one Li(10), one Li(2), one Li(6), one Ti(4), one Mn(1), and one Mn(6) atom to form OLi3TiMn2 octahedra that share  a cornercorner with one O(20)Li2TiMn3 octahedra,  a cornercorner with one O(5)Li2TiMn3 octahedra,  a cornercorner with one O(13)Li3TiMn2 octahedra,  a cornercorner with one O(14)Li3TiMn2 octahedra,  a cornercorner with one O(4)Li4Ti2 octahedra,  a cornercorner with one O(12)Li4TiMn octahedra,  an edgeedge with one O(1)Li2TiMn3 octahedra,  an edgeedge with one O(5)Li2TiMn3 octahedra,  an edgeedge with one O(4)Li4Ti2 octahedra,  an edgeedge with one O(10)Li4TiMn octahedra, edges with two equivalent O(16)Li2TiMn3 octahedra, edges with two equivalent O(20)Li2TiMn3 octahedra, edges with two equivalent O(18)Li4Ti2 octahedra, and edges with two equivalent O(12)Li4TiMn octahedra. The corner-sharing octahedral tilt angles range from 0-12°. In the ninth O site, O(9) is bonded to one Li(1), one Li(3), one Li(5), one Li(7), one Ti(1), and one Mn(2) atom to form OLi4TiMn octahedra that share  a cornercorner with one O(19)Li2TiMn3 octahedra,  a cornercorner with one O(20)Li2TiMn3 octahedra,  a cornercorner with one O(5)Li2TiMn3 octahedra,  a cornercorner with one O(13)Li3TiMn2 octahedra,  a cornercorner with one O(3)Li4Ti2 octahedra,  a cornercorner with one O(11)Li4TiMn octahedra,  an edgeedge with one O(16)Li2TiMn3 octahedra,  an edgeedge with one O(5)Li2TiMn3 octahedra,  an edgeedge with one O(7)Li3TiMn2 octahedra,  an edgeedge with one O(11)Li4TiMn octahedra, edges with two equivalent O(1)Li2TiMn3 octahedra, edges with two equivalent O(13)Li3TiMn2 octahedra, edges with two equivalent O(17)Li4Ti2 octahedra, and edges with two equivalent O(3)Li4Ti2 octahedra. The corner-sharing octahedral tilt angles range from 2-12°. In the tenth O site, O(10) is bonded to one Li(2), one Li(4), one Li(6), one Li(8), one Ti(2), and one Mn(3) atom to form OLi4TiMn octahedra that share  a cornercorner with one O(19)Li2TiMn3 octahedra,  a cornercorner with one O(20)Li2TiMn3 octahedra,  a cornercorner with one O(6)Li2TiMn3 octahedra,  a cornercorner with one O(14)Li3TiMn2 octahedra,  a cornercorner with one O(4)Li4Ti2 octahedra,  a cornercorner with one O(12)Li4TiMn octahedra,  an edgeedge with one O(15)Li2TiMn3 octahedra,  an edgeedge with one O(6)Li2TiMn3 octahedra,  an edgeedge with one O(8)Li3TiMn2 octahedra,  an edgeedge with one O(12)Li4TiMn octahedra, edges with two equivalent O(2)Li2TiMn3 octahedra, edges with two equivalent O(14)Li3TiMn2 octahedra, edges with two equivalent O(18)Li4Ti2 octahedra, and edges with two equivalent O(4)Li4Ti2 octahedra. The corner-sharing octahedral tilt angles range from 2-12°. In the eleventh O site, O(11) is bonded to one Li(1), one Li(5), one Li(7), one Li(9), one Ti(3), and one Mn(5) atom to form OLi4TiMn octahedra that share  a cornercorner with one O(1)Li2TiMn3 octahedra,  a cornercorner with one O(15)Li2TiMn3 octahedra,  a cornercorner with one O(2)Li2TiMn3 octahedra,  a cornercorner with one O(7)Li3TiMn2 octahedra,  a cornercorner with one O(17)Li4Ti2 octahedra,  a cornercorner with one O(9)Li4TiMn octahedra,  an edgeedge with one O(15)Li2TiMn3 octahedra,  an edgeedge with one O(6)Li2TiMn3 octahedra,  an edgeedge with one O(13)Li3TiMn2 octahedra,  an edgeedge with one O(9)Li4TiMn octahedra, edges with two equivalent O(19)Li2TiMn3 octahedra, edges with two equivalent O(7)Li3TiMn2 octahedra, edges with two equivalent O(17)Li4Ti2 octahedra, and edges with two equivalent O(3)Li4Ti2 octahedra. The corner-sharing octahedral tilt angles range from 2-12°. In the twelfth O site, O(12) is bonded to one Li(10), one Li(2), one Li(6), one Li(8), one Ti(4), and one Mn(6) atom to form OLi4TiMn octahedra that share  a cornercorner with one O(1)Li2TiMn3 octahedra,  a cornercorner with one O(16)Li2TiMn3 octahedra,  a cornercorner with one O(2)Li2TiMn3 octahedra,  a cornercorner with one O(8)Li3TiMn2 octahedra,  a cornercorner with one O(18)Li4Ti2 octahedra,  a cornercorner with one O(10)Li4TiMn octahedra,  an edgeedge with one O(16)Li2TiMn3 octahedra,  an edgeedge with one O(5)Li2TiMn3 octahedra,  an edgeedge with one O(14)Li3TiMn2 octahedra,  an edgeedge with one O(10)Li4TiMn octahedra, edges with two equivalent O(20)Li2TiMn3 octahedra, edges with two equivalent O(8)Li3TiMn2 octahedra, edges with two equivalent O(18)Li4Ti2 octahedra, and edges with two equivalent O(4)Li4Ti2 octahedra. The corner-sharing octahedral tilt angles range from 2-12°. In the thirteenth O site, O(13) is bonded to one Li(3), one Li(5), one Li(7), one Ti(1), one Mn(1), and one Mn(2) atom to form OLi3TiMn2 octahedra that share  a cornercorner with one O(1)Li2TiMn3 octahedra,  a cornercorner with one O(16)Li2TiMn3 octahedra,  a cornercorner with one O(7)Li3TiMn2 octahedra,  a cornercorner with one O(8)Li3TiMn2 octahedra,  a cornercorner with one O(17)Li4Ti2 octahedra,  a cornercorner with one O(9)Li4TiMn octahedra,  an edgeedge with one O(16)Li2TiMn3 octahedra,  an edgeedge with one O(20)Li2TiMn3 octahedra,  an edgeedge with one O(17)Li4Ti2 octahedra,  an edgeedge with one O(11)Li4TiMn octahedra, edges with two equivalent O(1)Li2TiMn3 octahedra, edges with two equivalent O(5)Li2TiMn3 octahedra, edges with two equivalent O(3)Li4Ti2 octahedra, and edges with two equivalent O(9)Li4TiMn octahedra. The corner-sharing octahedral tilt angles range from 0-13°. In the fourteenth O site, O(14) is bonded to one Li(4), one Li(6), one Li(8), one Ti(2), one Mn(3), and one Mn(4) atom to form OLi3TiMn2 octahedra that share  a cornercorner with one O(15)Li2TiMn3 octahedra,  a cornercorner with one O(2)Li2TiMn3 octahedra,  a cornercorner with one O(7)Li3TiMn2 octahedra,  a cornercorner with one O(8)Li3TiMn2 octahedra,  a cornercorner with one O(18)Li4Ti2 octahedra,  a cornercorner with one O(10)Li4TiMn octahedra,  an edgeedge with one O(15)Li2TiMn3 octahedra,  an edgeedge with one O(19)Li2TiMn3 octahedra,  an edgeedge with one O(18)Li4Ti2 octahedra,  an edgeedge with one O(12)Li4TiMn octahedra, edges with two equivalent O(2)Li2TiMn3 octahedra, edges with two equivalent O(6)Li2TiMn3 octahedra, edges with two equivalent O(4)Li4Ti2 octahedra, and edges with two equivalent O(10)Li4TiMn octahedra. The corner-sharing octahedral tilt angles range from 0-11°. In the fifteenth O site, O(15) is bonded to one Li(4), one Li(9), one Ti(3), one Mn(3), one Mn(4), and one Mn(5) atom to form OLi2TiMn3 octahedra that share  a cornercorner with one O(19)Li2TiMn3 octahedra,  a cornercorner with one O(6)Li2TiMn3 octahedra,  a cornercorner with one O(14)Li3TiMn2 octahedra,  a cornercorner with one O(3)Li4Ti2 octahedra,  a cornercorner with one O(4)Li4Ti2 octahedra,  a cornercorner with one O(11)Li4TiMn octahedra,  an edgeedge with one O(14)Li3TiMn2 octahedra,  an edgeedge with one O(17)Li4Ti2 octahedra,  an edgeedge with one O(10)Li4TiMn octahedra,  an edgeedge with one O(11)Li4TiMn octahedra, edges with two equivalent O(19)Li2TiMn3 octahedra, edges with two equivalent O(2)Li2TiMn3 octahedra, edges with two equivalent O(6)Li2TiMn3 octahedra, and edges with two equivalent O(7)Li3TiMn2 octahedra. The corner-sharing octahedral tilt angles range from 1-12°. In the sixteenth O site, O(16) is bonded to one Li(10), one Li(3), one Ti(4), one Mn(1), one Mn(2), and one Mn(6) atom to form OLi2TiMn3 octahedra that share  a cornercorner with one O(20)Li2TiMn3 octahedra,  a cornercorner with one O(5)Li2TiMn3 octahedra,  a cornercorner with one O(13)Li3TiMn2 octahedra,  a cornercorner with one O(3)Li4Ti2 octahedra,  a cornercorner with one O(4)Li4Ti2 octahedra,  a cornercorner with one O(12)Li4TiMn octahedra,  an edgeedge with one O(13)Li3TiMn2 octahedra,  an edgeedge with one O(18)Li4Ti2 octahedra,  an edgeedge with one O(12)Li4TiMn octahedra,  an edgeedge with one O(9)Li4TiMn octahedra, edges with two equivalent O(1)Li2TiMn3 octahedra, edges with two equivalent O(20)Li2TiMn3 octahedra, edges with two equivalent O(5)Li2TiMn3 octahedra, and edges with two equivalent O(8)Li3TiMn2 octahedra. The corner-sharing octahedral tilt angles range from 1-13°. In the seventeenth O site, O(17) is bonded to one Li(1), one Li(5), one Li(7), one Li(9), one Ti(1), and one Ti(3) atom to form OLi4Ti2 octahedra that share  a cornercorner with one O(19)Li2TiMn3 octahedra,  a cornercorner with one O(5)Li2TiMn3 octahedra,  a cornercorner with one O(6)Li2TiMn3 octahedra,  a cornercorner with one O(13)Li3TiMn2 octahedra,  a cornercorner with one O(3)Li4Ti2 octahedra,  a cornercorner with one O(11)Li4TiMn octahedra,  an edgeedge with one O(1)Li2TiMn3 octahedra,  an edgeedge with one O(15)Li2TiMn3 octahedra,  an edgeedge with one O(19)Li2TiMn3 octahedra,  an edgeedge with one O(13)Li3TiMn2 octahedra, edges with two equivalent O(7)Li3TiMn2 octahedra, edges with two equivalent O(3)Li4Ti2 octahedra, edges with two equivalent O(11)Li4TiMn octahedra, and edges with two equivalent O(9)Li4TiMn octahedra. The corner-sharing octahedral tilt angles range from 2-13°. In the eighteenth O site, O(18) is bonded to one Li(10), one Li(2), one Li(6), one Li(8), one Ti(2), and one Ti(4) atom to form OLi4Ti2 octahedra that share  a cornercorner with one O(20)Li2TiMn3 octahedra,  a cornercorner with one O(5)Li2TiMn3 octahedra,  a cornercorner with one O(6)Li2TiMn3 octahedra,  a cornercorner with one O(14)Li3TiMn2 octahedra,  a cornercorner with one O(4)Li4Ti2 octahedra,  a cornercorner with one O(12)Li4TiMn octahedra,  an edgeedge with one O(16)Li2TiMn3 octahedra,  an edgeedge with one O(2)Li2TiMn3 octahedra,  an edgeedge with one O(20)Li2TiMn3 octahedra,  an edgeedge with one O(14)Li3TiMn2 octahedra, edges with two equivalent O(8)Li3TiMn2 octahedra, edges with two equivalent O(4)Li4Ti2 octahedra, edges with two equivalent O(10)Li4TiMn octahedra, and edges with two equivalent O(12)Li4TiMn octahedra. The corner-sharing octahedral tilt angles range from 2-13°. In the nineteenth O site, O(19) is bonded to one Li(1), one Li(9), one Ti(3), one Mn(3), one Mn(4), and one Mn(5) atom to form OLi2TiMn3 octahedra that share  a cornercorner with one O(15)Li2TiMn3 octahedra,  a cornercorner with one O(2)Li2TiMn3 octahedra,  a cornercorner with one O(7)Li3TiMn2 octahedra,  a cornercorner with one O(17)Li4Ti2 octahedra,  a cornercorner with one O(10)Li4TiMn octahedra,  a cornercorner with one O(9)Li4TiMn octahedra,  an edgeedge with one O(2)Li2TiMn3 octahedra,  an edgeedge with one O(14)Li3TiMn2 octahedra,  an edgeedge with one O(17)Li4Ti2 octahedra,  an edgeedge with one O(3)Li4Ti2 octahedra, edges with two equivalent O(15)Li2TiMn3 octahedra, edges with two equivalent O(6)Li2TiMn3 octahedra, edges with two equivalent O(7)Li3TiMn2 octahedra, and edges with two equivalent O(11)Li4TiMn octahedra. The corner-sharing octahedral tilt angles range from 1-12°. In the twentieth O site, O(20) is bonded to one Li(10), one Li(2), one Ti(4), one Mn(1), one Mn(2), and one Mn(6) atom to form OLi2TiMn3 octahedra that share  a cornercorner with one O(1)Li2TiMn3 octahedra,  a cornercorner with one O(16)Li2TiMn3 octahedra,  a cornercorner with one O(8)Li3TiMn2 octahedra,  a cornercorner with one O(18)Li4Ti2 octahedra,  a cornercorner with one O(10)Li4TiMn octahedra,  a cornercorner with one O(9)Li4TiMn octahedra,  an edgeedge with one O(1)Li2TiMn3 octahedra,  an edgeedge with one O(13)Li3TiMn2 octahedra,  an edgeedge with one O(18)Li4Ti2 octahedra,  an edgeedge with one O(4)Li4Ti2 octahedra, edges with two equivalent O(16)Li2TiMn3 octahedra, edges with two equivalent O(5)Li2TiMn3 octahedra, edges with two equivalent O(8)Li3TiMn2 octahedra, and edges with two equivalent O(12)Li4TiMn octahedra. The corner-sharing octahedral tilt angles range from 1-12°. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li5Ti2Mn3O10
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.241
_cell_length_b   5.277
_cell_length_c   7.873
_cell_angle_alpha   107.695
_cell_angle_beta   101.251
_cell_angle_gamma   101.470
_symmetry_Int_Tables_number   1
_cell_volume   195.573
_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
  Li  Li0  1  0.218  0.894  0.399  1.0
  Li  Li1  1  0.391  0.295  0.783  1.0
  Li  Li2  1  0.504  0.496  0.505  1.0
  Li  Li3  1  0.783  0.105  0.604  1.0
  Li  Li4  1  0.607  0.706  0.222  1.0
  Mn  Mn5  1  0.998  0.500  0.001  1.0
  Mn  Mn6  1  0.689  0.888  0.898  1.0
  Mn  Mn7  1  0.310  0.113  0.105  1.0
  O  O8  1  0.051  0.066  0.831  1.0
  O  O9  1  0.137  0.329  0.543  1.0
  O  O10  1  0.312  0.684  0.935  1.0
  O  O11  1  0.217  0.496  0.233  1.0
  O  O12  1  0.424  0.887  0.653  1.0
  O  O13  1  0.575  0.113  0.350  1.0
  O  O14  1  0.779  0.504  0.768  1.0
  O  O15  1  0.685  0.316  0.066  1.0
  O  O16  1  0.863  0.670  0.460  1.0
  O  O17  1  0.948  0.934  0.170  1.0
  Ti  Ti18  1  0.100  0.718  0.688  1.0
  Ti  Ti19  1  0.901  0.283  0.315  1.0
[/CIF]
.