Li4TiCo3O8 is beta Polonium-derived structured and crystallizes in the triclinic P1 space group. There are eight inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(11), one O(13), one O(15), one O(6), one O(8), and one O(9) atom to form LiO6 octahedra that share corners with two equivalent Ti(2)O6 octahedra, corners with four equivalent Ti(1)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, and edges with two equivalent Co(2)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(12), one O(14), one O(16), one O(5), and one O(7) atom to form LiO6 octahedra that share corners with two equivalent Ti(1)O6 octahedra, corners with four equivalent Ti(2)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, and edges with two equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-8°. In the third Li site, Li(3) is bonded to one O(1), one O(11), one O(13), one O(15), one O(3), and one O(9) atom to form LiO6 octahedra that share corners with two equivalent Co(1)O6 octahedra, corners with four equivalent Co(2)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, and edges with two equivalent Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-8°. In the fourth Li site, Li(4) is bonded to one O(10), one O(12), one O(14), one O(16), one O(2), and one O(4) atom to form LiO6 octahedra that share corners with two equivalent Co(2)O6 octahedra, corners with four equivalent Co(1)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, and edges with two equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-8°. In the fifth Li site, Li(5) is bonded to one O(11), one O(16), one O(2), one O(3), one O(5), and one O(8) atom to form LiO6 octahedra that share corners with two equivalent Co(3)O6 octahedra, corners with four equivalent Co(4)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, edges with two equivalent Li(7)O6 octahedra, and edges with two equivalent Co(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-10°. In the sixth Li site, Li(6) is bonded to one O(1), one O(12), one O(15), one O(4), one O(6), and one O(7) atom to form LiO6 octahedra that share corners with two equivalent Co(4)O6 octahedra, corners with four equivalent Co(3)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, edges with two equivalent Li(8)O6 octahedra, and edges with two equivalent Co(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-13°. In the seventh Li site, Li(7) is bonded to one O(14), one O(2), one O(3), one O(5), one O(8), and one O(9) atom to form LiO6 octahedra that share corners with two equivalent Co(5)O6 octahedra, corners with four equivalent Co(6)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, and edges with two equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-9°. In the eighth Li site, Li(8) is bonded to one O(1), one O(10), one O(13), one O(4), one O(6), and one O(7) atom to form LiO6 octahedra that share corners with two equivalent Co(6)O6 octahedra, corners with four equivalent Co(5)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, edges with two equivalent Li(6)O6 octahedra, and edges with two equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-10°. There are two inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(11), one O(13), one O(15), one O(5), one O(7), and one O(9) atom to form TiO6 octahedra that share corners with two equivalent Li(2)O6 octahedra, corners with four equivalent Li(1)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, and edges with two equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-7°. In the second Ti site, Ti(2) is bonded to one O(10), one O(12), one O(14), one O(16), one O(6), and one O(8) atom to form TiO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with four equivalent 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(7)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, and edges with two equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-8°. There are six inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(1), one O(10), one O(12), one O(14), one O(16), and one O(3) atom to form CoO6 octahedra that share corners with two equivalent Li(3)O6 octahedra, corners with four equivalent Li(4)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, and edges with two equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-8°. In the second Co site, Co(2) is bonded to one O(11), one O(13), one O(15), one O(2), one O(4), and one O(9) atom to form CoO6 octahedra that share corners with two equivalent Li(4)O6 octahedra, corners with four equivalent Li(3)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, and edges with two equivalent Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-8°. In the third Co site, Co(3) is bonded to one O(1), one O(11), one O(16), one O(4), one O(6), and one O(7) atom to form CoO6 octahedra that share corners with two equivalent Li(5)O6 octahedra, corners with four equivalent Li(6)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, edges with two equivalent Li(8)O6 octahedra, and edges with two equivalent Co(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-13°. In the fourth Co site, Co(4) is bonded to one O(12), one O(15), one O(2), one O(3), one O(5), and one O(8) atom to form CoO6 octahedra that share corners with two equivalent Li(6)O6 octahedra, corners with four equivalent Li(5)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, edges with two equivalent Li(7)O6 octahedra, and edges with two equivalent Co(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-10°. In the fifth Co site, Co(5) is bonded to one O(1), one O(14), one O(4), one O(6), one O(7), and one O(9) atom to form CoO6 octahedra that share corners with two equivalent Li(7)O6 octahedra, corners with four equivalent Li(8)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, edges with two equivalent Li(6)O6 octahedra, and edges with two equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-10°. In the sixth Co site, Co(6) is bonded to one O(10), one O(13), one O(2), one O(3), one O(5), and one O(8) atom to form CoO6 octahedra that share corners with two equivalent Li(8)O6 octahedra, corners with four equivalent Li(7)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, and edges with two equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-9°. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded to one Li(3), one Li(6), one Li(8), one Co(1), one Co(3), and one Co(5) atom to form OLi3Co3 octahedra that share corners with two equivalent O(3)Li3Co3 octahedra, corners with four equivalent O(4)Li3Co3 octahedra,  an edgeedge with one O(10)Li3TiCo2 octahedra,  an edgeedge with one O(11)Li3TiCo2 octahedra,  an edgeedge with one O(12)Li3TiCo2 octahedra,  an edgeedge with one O(13)Li3TiCo2 octahedra,  an edgeedge with one O(14)Li3TiCo2 octahedra,  an edgeedge with one O(15)Li3TiCo2 octahedra,  an edgeedge with one O(16)Li3TiCo2 octahedra,  an edgeedge with one O(9)Li3TiCo2 octahedra, edges with two equivalent O(6)Li3TiCo2 octahedra, and edges with two equivalent O(7)Li3TiCo2 octahedra. The corner-sharing octahedral tilt angles range from 1-6°. In the second O site, O(2) is bonded to one Li(4), one Li(5), one Li(7), one Co(2), one Co(4), and one Co(6) atom to form OLi3Co3 octahedra that share corners with two equivalent O(4)Li3Co3 octahedra, corners with four equivalent O(3)Li3Co3 octahedra,  an edgeedge with one O(10)Li3TiCo2 octahedra,  an edgeedge with one O(11)Li3TiCo2 octahedra,  an edgeedge with one O(12)Li3TiCo2 octahedra,  an edgeedge with one O(13)Li3TiCo2 octahedra,  an edgeedge with one O(14)Li3TiCo2 octahedra,  an edgeedge with one O(15)Li3TiCo2 octahedra,  an edgeedge with one O(16)Li3TiCo2 octahedra,  an edgeedge with one O(9)Li3TiCo2 octahedra, edges with two equivalent O(5)Li3TiCo2 octahedra, and edges with two equivalent O(8)Li3TiCo2 octahedra. The corner-sharing octahedral tilt angles range from 1-8°. In the third O site, O(3) is bonded to one Li(3), one Li(5), one Li(7), one Co(1), one Co(4), and one Co(6) atom to form OLi3Co3 octahedra that share corners with two equivalent O(1)Li3Co3 octahedra, corners with four equivalent O(2)Li3Co3 octahedra,  an edgeedge with one O(10)Li3TiCo2 octahedra,  an edgeedge with one O(11)Li3TiCo2 octahedra,  an edgeedge with one O(12)Li3TiCo2 octahedra,  an edgeedge with one O(13)Li3TiCo2 octahedra,  an edgeedge with one O(14)Li3TiCo2 octahedra,  an edgeedge with one O(15)Li3TiCo2 octahedra,  an edgeedge with one O(16)Li3TiCo2 octahedra,  an edgeedge with one O(9)Li3TiCo2 octahedra, edges with two equivalent O(5)Li3TiCo2 octahedra, and edges with two equivalent O(8)Li3TiCo2 octahedra. The corner-sharing octahedral tilt angles range from 1-8°. In the fourth O site, O(4) is bonded to one Li(4), one Li(6), one Li(8), one Co(2), one Co(3), and one Co(5) atom to form OLi3Co3 octahedra that share corners with two equivalent O(2)Li3Co3 octahedra, corners with four equivalent O(1)Li3Co3 octahedra,  an edgeedge with one O(10)Li3TiCo2 octahedra,  an edgeedge with one O(11)Li3TiCo2 octahedra,  an edgeedge with one O(12)Li3TiCo2 octahedra,  an edgeedge with one O(13)Li3TiCo2 octahedra,  an edgeedge with one O(14)Li3TiCo2 octahedra,  an edgeedge with one O(15)Li3TiCo2 octahedra,  an edgeedge with one O(16)Li3TiCo2 octahedra,  an edgeedge with one O(9)Li3TiCo2 octahedra, edges with two equivalent O(6)Li3TiCo2 octahedra, and edges with two equivalent O(7)Li3TiCo2 octahedra. The corner-sharing octahedral tilt angles range from 1-6°. In the fifth O site, O(5) is bonded to one Li(2), one Li(5), one Li(7), one Ti(1), one Co(4), and one Co(6) atom to form OLi3TiCo2 octahedra that share corners with two equivalent O(7)Li3TiCo2 octahedra, corners with four equivalent O(8)Li3TiCo2 octahedra,  an edgeedge with one O(10)Li3TiCo2 octahedra,  an edgeedge with one O(11)Li3TiCo2 octahedra,  an edgeedge with one O(12)Li3TiCo2 octahedra,  an edgeedge with one O(13)Li3TiCo2 octahedra,  an edgeedge with one O(14)Li3TiCo2 octahedra,  an edgeedge with one O(15)Li3TiCo2 octahedra,  an edgeedge with one O(16)Li3TiCo2 octahedra,  an edgeedge with one O(9)Li3TiCo2 octahedra, edges with two equivalent O(2)Li3Co3 octahedra, and edges with two equivalent O(3)Li3Co3 octahedra. The corner-sharing octahedral tilt angles range from 1-6°. In the sixth O site, O(6) is bonded to one Li(1), one Li(6), one Li(8), one Ti(2), one Co(3), and one Co(5) atom to form OLi3TiCo2 octahedra that share corners with two equivalent O(8)Li3TiCo2 octahedra, corners with four equivalent O(7)Li3TiCo2 octahedra,  an edgeedge with one O(10)Li3TiCo2 octahedra,  an edgeedge with one O(11)Li3TiCo2 octahedra,  an edgeedge with one O(12)Li3TiCo2 octahedra,  an edgeedge with one O(13)Li3TiCo2 octahedra,  an edgeedge with one O(14)Li3TiCo2 octahedra,  an edgeedge with one O(15)Li3TiCo2 octahedra,  an edgeedge with one O(16)Li3TiCo2 octahedra,  an edgeedge with one O(9)Li3TiCo2 octahedra, edges with two equivalent O(1)Li3Co3 octahedra, and edges with two equivalent O(4)Li3Co3 octahedra. The corner-sharing octahedral tilt angles range from 0-5°. In the seventh O site, O(7) is bonded to one Li(2), one Li(6), one Li(8), one Ti(1), one Co(3), and one Co(5) atom to form OLi3TiCo2 octahedra that share corners with two equivalent O(5)Li3TiCo2 octahedra, corners with four equivalent O(6)Li3TiCo2 octahedra,  an edgeedge with one O(10)Li3TiCo2 octahedra,  an edgeedge with one O(11)Li3TiCo2 octahedra,  an edgeedge with one O(12)Li3TiCo2 octahedra,  an edgeedge with one O(13)Li3TiCo2 octahedra,  an edgeedge with one O(14)Li3TiCo2 octahedra,  an edgeedge with one O(15)Li3TiCo2 octahedra,  an edgeedge with one O(16)Li3TiCo2 octahedra,  an edgeedge with one O(9)Li3TiCo2 octahedra, edges with two equivalent O(1)Li3Co3 octahedra, and edges with two equivalent O(4)Li3Co3 octahedra. The corner-sharing octahedral tilt angles range from 0-6°. In the eighth O site, O(8) is bonded to one Li(1), one Li(5), one Li(7), one Ti(2), one Co(4), and one Co(6) atom to form OLi3TiCo2 octahedra that share corners with two equivalent O(6)Li3TiCo2 octahedra, corners with four equivalent O(5)Li3TiCo2 octahedra,  an edgeedge with one O(10)Li3TiCo2 octahedra,  an edgeedge with one O(11)Li3TiCo2 octahedra,  an edgeedge with one O(12)Li3TiCo2 octahedra,  an edgeedge with one O(13)Li3TiCo2 octahedra,  an edgeedge with one O(14)Li3TiCo2 octahedra,  an edgeedge with one O(15)Li3TiCo2 octahedra,  an edgeedge with one O(16)Li3TiCo2 octahedra,  an edgeedge with one O(9)Li3TiCo2 octahedra, edges with two equivalent O(2)Li3Co3 octahedra, and edges with two equivalent O(3)Li3Co3 octahedra. The corner-sharing octahedral tilt angles range from 1-5°. In the ninth O site, O(9) is bonded to one Li(1), one Li(3), one Li(7), one Ti(1), one Co(2), and one Co(5) atom to form OLi3TiCo2 octahedra that share corners with two equivalent O(14)Li3TiCo2 octahedra, corners with four equivalent O(13)Li3TiCo2 octahedra,  an edgeedge with one O(1)Li3Co3 octahedra,  an edgeedge with one O(2)Li3Co3 octahedra,  an edgeedge with one O(3)Li3Co3 octahedra,  an edgeedge with one O(4)Li3Co3 octahedra,  an edgeedge with one O(5)Li3TiCo2 octahedra,  an edgeedge with one O(6)Li3TiCo2 octahedra,  an edgeedge with one O(7)Li3TiCo2 octahedra,  an edgeedge with one O(8)Li3TiCo2 octahedra, edges with two equivalent O(11)Li3TiCo2 octahedra, and edges with two equivalent O(15)Li3TiCo2 octahedra. The corner-sharing octahedral tilt angles range from 0-5°. In the tenth O site, O(10) is bonded to one Li(2), one Li(4), one Li(8), one Ti(2), one Co(1), and one Co(6) atom to form OLi3TiCo2 octahedra that share corners with two equivalent O(13)Li3TiCo2 octahedra, corners with four equivalent O(14)Li3TiCo2 octahedra,  an edgeedge with one O(1)Li3Co3 octahedra,  an edgeedge with one O(2)Li3Co3 octahedra,  an edgeedge with one O(3)Li3Co3 octahedra,  an edgeedge with one O(4)Li3Co3 octahedra,  an edgeedge with one O(5)Li3TiCo2 octahedra,  an edgeedge with one O(6)Li3TiCo2 octahedra,  an edgeedge with one O(7)Li3TiCo2 octahedra,  an edgeedge with one O(8)Li3TiCo2 octahedra, edges with two equivalent O(12)Li3TiCo2 octahedra, and edges with two equivalent O(16)Li3TiCo2 octahedra. The corner-sharing octahedral tilt angles range from 0-5°. In the eleventh O site, O(11) is bonded to one Li(1), one Li(3), one Li(5), one Ti(1), one Co(2), and one Co(3) atom to form OLi3TiCo2 octahedra that share corners with two equivalent O(16)Li3TiCo2 octahedra, corners with four equivalent O(15)Li3TiCo2 octahedra,  an edgeedge with one O(1)Li3Co3 octahedra,  an edgeedge with one O(2)Li3Co3 octahedra,  an edgeedge with one O(3)Li3Co3 octahedra,  an edgeedge with one O(4)Li3Co3 octahedra,  an edgeedge with one O(5)Li3TiCo2 octahedra,  an edgeedge with one O(6)Li3TiCo2 octahedra,  an edgeedge with one O(7)Li3TiCo2 octahedra,  an edgeedge with one O(8)Li3TiCo2 octahedra, edges with two equivalent O(13)Li3TiCo2 octahedra, and edges with two equivalent O(9)Li3TiCo2 octahedra. The corner-sharing octahedral tilt angles range from 1-6°. In the twelfth O site, O(12) is bonded to one Li(2), one Li(4), one Li(6), one Ti(2), one Co(1), and one Co(4) atom to form OLi3TiCo2 octahedra that share corners with two equivalent O(15)Li3TiCo2 octahedra, corners with four equivalent O(16)Li3TiCo2 octahedra,  an edgeedge with one O(1)Li3Co3 octahedra,  an edgeedge with one O(2)Li3Co3 octahedra,  an edgeedge with one O(3)Li3Co3 octahedra,  an edgeedge with one O(4)Li3Co3 octahedra,  an edgeedge with one O(5)Li3TiCo2 octahedra,  an edgeedge with one O(6)Li3TiCo2 octahedra,  an edgeedge with one O(7)Li3TiCo2 octahedra,  an edgeedge with one O(8)Li3TiCo2 octahedra, edges with two equivalent O(10)Li3TiCo2 octahedra, and edges with two equivalent O(14)Li3TiCo2 octahedra. The corner-sharing octahedral tilt angles range from 2-5°. In the thirteenth O site, O(13) is bonded to one Li(1), one Li(3), one Li(8), one Ti(1), one Co(2), and one Co(6) atom to form OLi3TiCo2 octahedra that share corners with two equivalent O(10)Li3TiCo2 octahedra, corners with four equivalent O(9)Li3TiCo2 octahedra,  an edgeedge with one O(1)Li3Co3 octahedra,  an edgeedge with one O(2)Li3Co3 octahedra,  an edgeedge with one O(3)Li3Co3 octahedra,  an edgeedge with one O(4)Li3Co3 octahedra,  an edgeedge with one O(5)Li3TiCo2 octahedra,  an edgeedge with one O(6)Li3TiCo2 octahedra,  an edgeedge with one O(7)Li3TiCo2 octahedra,  an edgeedge with one O(8)Li3TiCo2 octahedra, edges with two equivalent O(11)Li3TiCo2 octahedra, and edges with two equivalent O(15)Li3TiCo2 octahedra. The corner-sharing octahedral tilt angles range from 0-5°. In the fourteenth O site, O(14) is bonded to one Li(2), one Li(4), one Li(7), one Ti(2), one Co(1), and one Co(5) atom to form OLi3TiCo2 octahedra that share corners with two equivalent O(9)Li3TiCo2 octahedra, corners with four equivalent O(10)Li3TiCo2 octahedra,  an edgeedge with one O(1)Li3Co3 octahedra,  an edgeedge with one O(2)Li3Co3 octahedra,  an edgeedge with one O(3)Li3Co3 octahedra,  an edgeedge with one O(4)Li3Co3 octahedra,  an edgeedge with one O(5)Li3TiCo2 octahedra,  an edgeedge with one O(6)Li3TiCo2 octahedra,  an edgeedge with one O(7)Li3TiCo2 octahedra,  an edgeedge with one O(8)Li3TiCo2 octahedra, edges with two equivalent O(12)Li3TiCo2 octahedra, and edges with two equivalent O(16)Li3TiCo2 octahedra. The corner-sharing octahedral tilt angles range from 0-5°. In the fifteenth O site, O(15) is bonded to one Li(1), one Li(3), one Li(6), one Ti(1), one Co(2), and one Co(4) atom to form OLi3TiCo2 octahedra that share corners with two equivalent O(12)Li3TiCo2 octahedra, corners with four equivalent O(11)Li3TiCo2 octahedra,  an edgeedge with one O(1)Li3Co3 octahedra,  an edgeedge with one O(2)Li3Co3 octahedra,  an edgeedge with one O(3)Li3Co3 octahedra,  an edgeedge with one O(4)Li3Co3 octahedra,  an edgeedge with one O(5)Li3TiCo2 octahedra,  an edgeedge with one O(6)Li3TiCo2 octahedra,  an edgeedge with one O(7)Li3TiCo2 octahedra,  an edgeedge with one O(8)Li3TiCo2 octahedra, edges with two equivalent O(13)Li3TiCo2 octahedra, and edges with two equivalent O(9)Li3TiCo2 octahedra. The corner-sharing octahedral tilt angles range from 2-6°. In the sixteenth O site, O(16) is bonded to one Li(2), one Li(4), one Li(5), one Ti(2), one Co(1), and one Co(3) atom to form OLi3TiCo2 octahedra that share corners with two equivalent O(11)Li3TiCo2 octahedra, corners with four equivalent O(12)Li3TiCo2 octahedra,  an edgeedge with one O(1)Li3Co3 octahedra,  an edgeedge with one O(2)Li3Co3 octahedra,  an edgeedge with one O(3)Li3Co3 octahedra,  an edgeedge with one O(4)Li3Co3 octahedra,  an edgeedge with one O(5)Li3TiCo2 octahedra,  an edgeedge with one O(6)Li3TiCo2 octahedra,  an edgeedge with one O(7)Li3TiCo2 octahedra,  an edgeedge with one O(8)Li3TiCo2 octahedra, edges with two equivalent O(10)Li3TiCo2 octahedra, and edges with two equivalent O(14)Li3TiCo2 octahedra. The corner-sharing octahedral tilt angles range from 1-5°.
Li4TiCo3O8 is beta Polonium-derived structured and crystallizes in the triclinic P1 space group. There are eight inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(11), one O(13), one O(15), one O(6), one O(8), and one O(9) atom to form LiO6 octahedra that share corners with two equivalent Ti(2)O6 octahedra, corners with four equivalent Ti(1)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, and edges with two equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-7°. The Li(1)-O(11) bond length is 2.16 Å. The Li(1)-O(13) bond length is 2.19 Å. The Li(1)-O(15) bond length is 2.17 Å. The Li(1)-O(6) bond length is 2.22 Å. The Li(1)-O(8) bond length is 2.20 Å. The Li(1)-O(9) bond length is 2.19 Å. In the second Li site, Li(2) is bonded to one O(10), one O(12), one O(14), one O(16), one O(5), and one O(7) atom to form LiO6 octahedra that share corners with two equivalent Ti(1)O6 octahedra, corners with four equivalent Ti(2)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, and edges with two equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-8°. The Li(2)-O(10) bond length is 2.18 Å. The Li(2)-O(12) bond length is 2.15 Å. The Li(2)-O(14) bond length is 2.20 Å. The Li(2)-O(16) bond length is 2.16 Å. The Li(2)-O(5) bond length is 2.20 Å. The Li(2)-O(7) bond length is 2.22 Å. In the third Li site, Li(3) is bonded to one O(1), one O(11), one O(13), one O(15), one O(3), and one O(9) atom to form LiO6 octahedra that share corners with two equivalent Co(1)O6 octahedra, corners with four equivalent Co(2)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, and edges with two equivalent Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-8°. The Li(3)-O(1) bond length is 2.28 Å. The Li(3)-O(11) bond length is 2.14 Å. The Li(3)-O(13) bond length is 2.06 Å. The Li(3)-O(15) bond length is 2.07 Å. The Li(3)-O(3) bond length is 2.23 Å. The Li(3)-O(9) bond length is 2.07 Å. In the fourth Li site, Li(4) is bonded to one O(10), one O(12), one O(14), one O(16), one O(2), and one O(4) atom to form LiO6 octahedra that share corners with two equivalent Co(2)O6 octahedra, corners with four equivalent Co(1)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, and edges with two equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-8°. The Li(4)-O(10) bond length is 2.18 Å. The Li(4)-O(12) bond length is 2.18 Å. The Li(4)-O(14) bond length is 2.19 Å. The Li(4)-O(16) bond length is 2.24 Å. The Li(4)-O(2) bond length is 2.06 Å. The Li(4)-O(4) bond length is 2.07 Å. In the fifth Li site, Li(5) is bonded to one O(11), one O(16), one O(2), one O(3), one O(5), and one O(8) atom to form LiO6 octahedra that share corners with two equivalent Co(3)O6 octahedra, corners with four equivalent Co(4)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, edges with two equivalent Li(7)O6 octahedra, and edges with two equivalent Co(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-10°. The Li(5)-O(11) bond length is 2.09 Å. The Li(5)-O(16) bond length is 2.07 Å. The Li(5)-O(2) bond length is 2.20 Å. The Li(5)-O(3) bond length is 2.14 Å. The Li(5)-O(5) bond length is 2.11 Å. The Li(5)-O(8) bond length is 2.12 Å. In the sixth Li site, Li(6) is bonded to one O(1), one O(12), one O(15), one O(4), one O(6), and one O(7) atom to form LiO6 octahedra that share corners with two equivalent Co(4)O6 octahedra, corners with four equivalent Co(3)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, edges with two equivalent Li(8)O6 octahedra, and edges with two equivalent Co(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-13°. The Li(6)-O(1) bond length is 2.12 Å. The Li(6)-O(12) bond length is 2.17 Å. The Li(6)-O(15) bond length is 2.22 Å. The Li(6)-O(4) bond length is 2.15 Å. The Li(6)-O(6) bond length is 2.06 Å. The Li(6)-O(7) bond length is 2.05 Å. In the seventh Li site, Li(7) is bonded to one O(14), one O(2), one O(3), one O(5), one O(8), and one O(9) atom to form LiO6 octahedra that share corners with two equivalent Co(5)O6 octahedra, corners with four equivalent Co(6)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, and edges with two equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-9°. The Li(7)-O(14) bond length is 2.09 Å. The Li(7)-O(2) bond length is 2.21 Å. The Li(7)-O(3) bond length is 2.17 Å. The Li(7)-O(5) bond length is 2.12 Å. The Li(7)-O(8) bond length is 2.13 Å. The Li(7)-O(9) bond length is 2.14 Å. In the eighth Li site, Li(8) is bonded to one O(1), one O(10), one O(13), one O(4), one O(6), and one O(7) atom to form LiO6 octahedra that share corners with two equivalent Co(6)O6 octahedra, corners with four equivalent Co(5)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, edges with two equivalent Li(6)O6 octahedra, and edges with two equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-10°. The Li(8)-O(1) bond length is 2.22 Å. The Li(8)-O(10) bond length is 2.12 Å. The Li(8)-O(13) bond length is 2.14 Å. The Li(8)-O(4) bond length is 2.23 Å. The Li(8)-O(6) bond length is 2.11 Å. The Li(8)-O(7) bond length is 2.09 Å. There are two inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(11), one O(13), one O(15), one O(5), one O(7), and one O(9) atom to form TiO6 octahedra that share corners with two equivalent Li(2)O6 octahedra, corners with four equivalent Li(1)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, and edges with two equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-7°. The Ti(1)-O(11) bond length is 1.92 Å. The Ti(1)-O(13) bond length is 2.02 Å. The Ti(1)-O(15) bond length is 2.06 Å. The Ti(1)-O(5) bond length is 2.02 Å. The Ti(1)-O(7) bond length is 1.95 Å. The Ti(1)-O(9) bond length is 1.97 Å. In the second Ti site, Ti(2) is bonded to one O(10), one O(12), one O(14), one O(16), one O(6), and one O(8) atom to form TiO6 octahedra that share corners with two equivalent Li(1)O6 octahedra, corners with four equivalent 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(7)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, and edges with two equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-8°. The Ti(2)-O(10) bond length is 2.00 Å. The Ti(2)-O(12) bond length is 2.06 Å. The Ti(2)-O(14) bond length is 2.00 Å. The Ti(2)-O(16) bond length is 1.94 Å. The Ti(2)-O(6) bond length is 1.94 Å. The Ti(2)-O(8) bond length is 2.03 Å. There are six inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(1), one O(10), one O(12), one O(14), one O(16), and one O(3) atom to form CoO6 octahedra that share corners with two equivalent Li(3)O6 octahedra, corners with four equivalent Li(4)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, and edges with two equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-8°. The Co(1)-O(1) bond length is 1.95 Å. The Co(1)-O(10) bond length is 1.98 Å. The Co(1)-O(12) bond length is 1.97 Å. The Co(1)-O(14) bond length is 1.97 Å. The Co(1)-O(16) bond length is 1.99 Å. The Co(1)-O(3) bond length is 1.95 Å. In the second Co site, Co(2) is bonded to one O(11), one O(13), one O(15), one O(2), one O(4), and one O(9) atom to form CoO6 octahedra that share corners with two equivalent Li(4)O6 octahedra, corners with four equivalent Li(3)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, and edges with two equivalent Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-8°. The Co(2)-O(11) bond length is 2.09 Å. The Co(2)-O(13) bond length is 2.08 Å. The Co(2)-O(15) bond length is 2.08 Å. The Co(2)-O(2) bond length is 2.14 Å. The Co(2)-O(4) bond length is 2.14 Å. The Co(2)-O(9) bond length is 2.10 Å. In the third Co site, Co(3) is bonded to one O(1), one O(11), one O(16), one O(4), one O(6), and one O(7) atom to form CoO6 octahedra that share corners with two equivalent Li(5)O6 octahedra, corners with four equivalent Li(6)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, edges with two equivalent Li(8)O6 octahedra, and edges with two equivalent Co(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-13°. The Co(3)-O(1) bond length is 2.07 Å. The Co(3)-O(11) bond length is 2.11 Å. The Co(3)-O(16) bond length is 2.12 Å. The Co(3)-O(4) bond length is 2.07 Å. The Co(3)-O(6) bond length is 2.10 Å. The Co(3)-O(7) bond length is 2.11 Å. In the fourth Co site, Co(4) is bonded to one O(12), one O(15), one O(2), one O(3), one O(5), and one O(8) atom to form CoO6 octahedra that share corners with two equivalent Li(6)O6 octahedra, corners with four equivalent Li(5)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, edges with two equivalent Li(7)O6 octahedra, and edges with two equivalent Co(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-10°. The Co(4)-O(12) bond length is 2.04 Å. The Co(4)-O(15) bond length is 1.97 Å. The Co(4)-O(2) bond length is 2.02 Å. The Co(4)-O(3) bond length is 2.03 Å. The Co(4)-O(5) bond length is 2.04 Å. The Co(4)-O(8) bond length is 2.04 Å. In the fifth Co site, Co(5) is bonded to one O(1), one O(14), one O(4), one O(6), one O(7), and one O(9) atom to form CoO6 octahedra that share corners with two equivalent Li(7)O6 octahedra, corners with four equivalent Li(8)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, edges with two equivalent Li(6)O6 octahedra, and edges with two equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-10°. The Co(5)-O(1) bond length is 1.96 Å. The Co(5)-O(14) bond length is 2.12 Å. The Co(5)-O(4) bond length is 1.91 Å. The Co(5)-O(6) bond length is 2.10 Å. The Co(5)-O(7) bond length is 2.09 Å. The Co(5)-O(9) bond length is 2.05 Å. In the sixth Co site, Co(6) is bonded to one O(10), one O(13), one O(2), one O(3), one O(5), and one O(8) atom to form CoO6 octahedra that share corners with two equivalent Li(8)O6 octahedra, corners with four equivalent Li(7)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, and edges with two equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-9°. The Co(6)-O(10) bond length is 2.12 Å. The Co(6)-O(13) bond length is 2.02 Å. The Co(6)-O(2) bond length is 1.94 Å. The Co(6)-O(3) bond length is 2.00 Å. The Co(6)-O(5) bond length is 2.07 Å. The Co(6)-O(8) bond length is 2.06 Å. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded to one Li(3), one Li(6), one Li(8), one Co(1), one Co(3), and one Co(5) atom to form OLi3Co3 octahedra that share corners with two equivalent O(3)Li3Co3 octahedra, corners with four equivalent O(4)Li3Co3 octahedra,  an edgeedge with one O(10)Li3TiCo2 octahedra,  an edgeedge with one O(11)Li3TiCo2 octahedra,  an edgeedge with one O(12)Li3TiCo2 octahedra,  an edgeedge with one O(13)Li3TiCo2 octahedra,  an edgeedge with one O(14)Li3TiCo2 octahedra,  an edgeedge with one O(15)Li3TiCo2 octahedra,  an edgeedge with one O(16)Li3TiCo2 octahedra,  an edgeedge with one O(9)Li3TiCo2 octahedra, edges with two equivalent O(6)Li3TiCo2 octahedra, and edges with two equivalent O(7)Li3TiCo2 octahedra. The corner-sharing octahedral tilt angles range from 1-6°. In the second O site, O(2) is bonded to one Li(4), one Li(5), one Li(7), one Co(2), one Co(4), and one Co(6) atom to form OLi3Co3 octahedra that share corners with two equivalent O(4)Li3Co3 octahedra, corners with four equivalent O(3)Li3Co3 octahedra,  an edgeedge with one O(10)Li3TiCo2 octahedra,  an edgeedge with one O(11)Li3TiCo2 octahedra,  an edgeedge with one O(12)Li3TiCo2 octahedra,  an edgeedge with one O(13)Li3TiCo2 octahedra,  an edgeedge with one O(14)Li3TiCo2 octahedra,  an edgeedge with one O(15)Li3TiCo2 octahedra,  an edgeedge with one O(16)Li3TiCo2 octahedra,  an edgeedge with one O(9)Li3TiCo2 octahedra, edges with two equivalent O(5)Li3TiCo2 octahedra, and edges with two equivalent O(8)Li3TiCo2 octahedra. The corner-sharing octahedral tilt angles range from 1-8°. In the third O site, O(3) is bonded to one Li(3), one Li(5), one Li(7), one Co(1), one Co(4), and one Co(6) atom to form OLi3Co3 octahedra that share corners with two equivalent O(1)Li3Co3 octahedra, corners with four equivalent O(2)Li3Co3 octahedra,  an edgeedge with one O(10)Li3TiCo2 octahedra,  an edgeedge with one O(11)Li3TiCo2 octahedra,  an edgeedge with one O(12)Li3TiCo2 octahedra,  an edgeedge with one O(13)Li3TiCo2 octahedra,  an edgeedge with one O(14)Li3TiCo2 octahedra,  an edgeedge with one O(15)Li3TiCo2 octahedra,  an edgeedge with one O(16)Li3TiCo2 octahedra,  an edgeedge with one O(9)Li3TiCo2 octahedra, edges with two equivalent O(5)Li3TiCo2 octahedra, and edges with two equivalent O(8)Li3TiCo2 octahedra. The corner-sharing octahedral tilt angles range from 1-8°. In the fourth O site, O(4) is bonded to one Li(4), one Li(6), one Li(8), one Co(2), one Co(3), and one Co(5) atom to form OLi3Co3 octahedra that share corners with two equivalent O(2)Li3Co3 octahedra, corners with four equivalent O(1)Li3Co3 octahedra,  an edgeedge with one O(10)Li3TiCo2 octahedra,  an edgeedge with one O(11)Li3TiCo2 octahedra,  an edgeedge with one O(12)Li3TiCo2 octahedra,  an edgeedge with one O(13)Li3TiCo2 octahedra,  an edgeedge with one O(14)Li3TiCo2 octahedra,  an edgeedge with one O(15)Li3TiCo2 octahedra,  an edgeedge with one O(16)Li3TiCo2 octahedra,  an edgeedge with one O(9)Li3TiCo2 octahedra, edges with two equivalent O(6)Li3TiCo2 octahedra, and edges with two equivalent O(7)Li3TiCo2 octahedra. The corner-sharing octahedral tilt angles range from 1-6°. In the fifth O site, O(5) is bonded to one Li(2), one Li(5), one Li(7), one Ti(1), one Co(4), and one Co(6) atom to form OLi3TiCo2 octahedra that share corners with two equivalent O(7)Li3TiCo2 octahedra, corners with four equivalent O(8)Li3TiCo2 octahedra,  an edgeedge with one O(10)Li3TiCo2 octahedra,  an edgeedge with one O(11)Li3TiCo2 octahedra,  an edgeedge with one O(12)Li3TiCo2 octahedra,  an edgeedge with one O(13)Li3TiCo2 octahedra,  an edgeedge with one O(14)Li3TiCo2 octahedra,  an edgeedge with one O(15)Li3TiCo2 octahedra,  an edgeedge with one O(16)Li3TiCo2 octahedra,  an edgeedge with one O(9)Li3TiCo2 octahedra, edges with two equivalent O(2)Li3Co3 octahedra, and edges with two equivalent O(3)Li3Co3 octahedra. The corner-sharing octahedral tilt angles range from 1-6°. In the sixth O site, O(6) is bonded to one Li(1), one Li(6), one Li(8), one Ti(2), one Co(3), and one Co(5) atom to form OLi3TiCo2 octahedra that share corners with two equivalent O(8)Li3TiCo2 octahedra, corners with four equivalent O(7)Li3TiCo2 octahedra,  an edgeedge with one O(10)Li3TiCo2 octahedra,  an edgeedge with one O(11)Li3TiCo2 octahedra,  an edgeedge with one O(12)Li3TiCo2 octahedra,  an edgeedge with one O(13)Li3TiCo2 octahedra,  an edgeedge with one O(14)Li3TiCo2 octahedra,  an edgeedge with one O(15)Li3TiCo2 octahedra,  an edgeedge with one O(16)Li3TiCo2 octahedra,  an edgeedge with one O(9)Li3TiCo2 octahedra, edges with two equivalent O(1)Li3Co3 octahedra, and edges with two equivalent O(4)Li3Co3 octahedra. The corner-sharing octahedral tilt angles range from 0-5°. In the seventh O site, O(7) is bonded to one Li(2), one Li(6), one Li(8), one Ti(1), one Co(3), and one Co(5) atom to form OLi3TiCo2 octahedra that share corners with two equivalent O(5)Li3TiCo2 octahedra, corners with four equivalent O(6)Li3TiCo2 octahedra,  an edgeedge with one O(10)Li3TiCo2 octahedra,  an edgeedge with one O(11)Li3TiCo2 octahedra,  an edgeedge with one O(12)Li3TiCo2 octahedra,  an edgeedge with one O(13)Li3TiCo2 octahedra,  an edgeedge with one O(14)Li3TiCo2 octahedra,  an edgeedge with one O(15)Li3TiCo2 octahedra,  an edgeedge with one O(16)Li3TiCo2 octahedra,  an edgeedge with one O(9)Li3TiCo2 octahedra, edges with two equivalent O(1)Li3Co3 octahedra, and edges with two equivalent O(4)Li3Co3 octahedra. The corner-sharing octahedral tilt angles range from 0-6°. In the eighth O site, O(8) is bonded to one Li(1), one Li(5), one Li(7), one Ti(2), one Co(4), and one Co(6) atom to form OLi3TiCo2 octahedra that share corners with two equivalent O(6)Li3TiCo2 octahedra, corners with four equivalent O(5)Li3TiCo2 octahedra,  an edgeedge with one O(10)Li3TiCo2 octahedra,  an edgeedge with one O(11)Li3TiCo2 octahedra,  an edgeedge with one O(12)Li3TiCo2 octahedra,  an edgeedge with one O(13)Li3TiCo2 octahedra,  an edgeedge with one O(14)Li3TiCo2 octahedra,  an edgeedge with one O(15)Li3TiCo2 octahedra,  an edgeedge with one O(16)Li3TiCo2 octahedra,  an edgeedge with one O(9)Li3TiCo2 octahedra, edges with two equivalent O(2)Li3Co3 octahedra, and edges with two equivalent O(3)Li3Co3 octahedra. The corner-sharing octahedral tilt angles range from 1-5°. In the ninth O site, O(9) is bonded to one Li(1), one Li(3), one Li(7), one Ti(1), one Co(2), and one Co(5) atom to form OLi3TiCo2 octahedra that share corners with two equivalent O(14)Li3TiCo2 octahedra, corners with four equivalent O(13)Li3TiCo2 octahedra,  an edgeedge with one O(1)Li3Co3 octahedra,  an edgeedge with one O(2)Li3Co3 octahedra,  an edgeedge with one O(3)Li3Co3 octahedra,  an edgeedge with one O(4)Li3Co3 octahedra,  an edgeedge with one O(5)Li3TiCo2 octahedra,  an edgeedge with one O(6)Li3TiCo2 octahedra,  an edgeedge with one O(7)Li3TiCo2 octahedra,  an edgeedge with one O(8)Li3TiCo2 octahedra, edges with two equivalent O(11)Li3TiCo2 octahedra, and edges with two equivalent O(15)Li3TiCo2 octahedra. The corner-sharing octahedral tilt angles range from 0-5°. In the tenth O site, O(10) is bonded to one Li(2), one Li(4), one Li(8), one Ti(2), one Co(1), and one Co(6) atom to form OLi3TiCo2 octahedra that share corners with two equivalent O(13)Li3TiCo2 octahedra, corners with four equivalent O(14)Li3TiCo2 octahedra,  an edgeedge with one O(1)Li3Co3 octahedra,  an edgeedge with one O(2)Li3Co3 octahedra,  an edgeedge with one O(3)Li3Co3 octahedra,  an edgeedge with one O(4)Li3Co3 octahedra,  an edgeedge with one O(5)Li3TiCo2 octahedra,  an edgeedge with one O(6)Li3TiCo2 octahedra,  an edgeedge with one O(7)Li3TiCo2 octahedra,  an edgeedge with one O(8)Li3TiCo2 octahedra, edges with two equivalent O(12)Li3TiCo2 octahedra, and edges with two equivalent O(16)Li3TiCo2 octahedra. The corner-sharing octahedral tilt angles range from 0-5°. In the eleventh O site, O(11) is bonded to one Li(1), one Li(3), one Li(5), one Ti(1), one Co(2), and one Co(3) atom to form OLi3TiCo2 octahedra that share corners with two equivalent O(16)Li3TiCo2 octahedra, corners with four equivalent O(15)Li3TiCo2 octahedra,  an edgeedge with one O(1)Li3Co3 octahedra,  an edgeedge with one O(2)Li3Co3 octahedra,  an edgeedge with one O(3)Li3Co3 octahedra,  an edgeedge with one O(4)Li3Co3 octahedra,  an edgeedge with one O(5)Li3TiCo2 octahedra,  an edgeedge with one O(6)Li3TiCo2 octahedra,  an edgeedge with one O(7)Li3TiCo2 octahedra,  an edgeedge with one O(8)Li3TiCo2 octahedra, edges with two equivalent O(13)Li3TiCo2 octahedra, and edges with two equivalent O(9)Li3TiCo2 octahedra. The corner-sharing octahedral tilt angles range from 1-6°. In the twelfth O site, O(12) is bonded to one Li(2), one Li(4), one Li(6), one Ti(2), one Co(1), and one Co(4) atom to form OLi3TiCo2 octahedra that share corners with two equivalent O(15)Li3TiCo2 octahedra, corners with four equivalent O(16)Li3TiCo2 octahedra,  an edgeedge with one O(1)Li3Co3 octahedra,  an edgeedge with one O(2)Li3Co3 octahedra,  an edgeedge with one O(3)Li3Co3 octahedra,  an edgeedge with one O(4)Li3Co3 octahedra,  an edgeedge with one O(5)Li3TiCo2 octahedra,  an edgeedge with one O(6)Li3TiCo2 octahedra,  an edgeedge with one O(7)Li3TiCo2 octahedra,  an edgeedge with one O(8)Li3TiCo2 octahedra, edges with two equivalent O(10)Li3TiCo2 octahedra, and edges with two equivalent O(14)Li3TiCo2 octahedra. The corner-sharing octahedral tilt angles range from 2-5°. In the thirteenth O site, O(13) is bonded to one Li(1), one Li(3), one Li(8), one Ti(1), one Co(2), and one Co(6) atom to form OLi3TiCo2 octahedra that share corners with two equivalent O(10)Li3TiCo2 octahedra, corners with four equivalent O(9)Li3TiCo2 octahedra,  an edgeedge with one O(1)Li3Co3 octahedra,  an edgeedge with one O(2)Li3Co3 octahedra,  an edgeedge with one O(3)Li3Co3 octahedra,  an edgeedge with one O(4)Li3Co3 octahedra,  an edgeedge with one O(5)Li3TiCo2 octahedra,  an edgeedge with one O(6)Li3TiCo2 octahedra,  an edgeedge with one O(7)Li3TiCo2 octahedra,  an edgeedge with one O(8)Li3TiCo2 octahedra, edges with two equivalent O(11)Li3TiCo2 octahedra, and edges with two equivalent O(15)Li3TiCo2 octahedra. The corner-sharing octahedral tilt angles range from 0-5°. In the fourteenth O site, O(14) is bonded to one Li(2), one Li(4), one Li(7), one Ti(2), one Co(1), and one Co(5) atom to form OLi3TiCo2 octahedra that share corners with two equivalent O(9)Li3TiCo2 octahedra, corners with four equivalent O(10)Li3TiCo2 octahedra,  an edgeedge with one O(1)Li3Co3 octahedra,  an edgeedge with one O(2)Li3Co3 octahedra,  an edgeedge with one O(3)Li3Co3 octahedra,  an edgeedge with one O(4)Li3Co3 octahedra,  an edgeedge with one O(5)Li3TiCo2 octahedra,  an edgeedge with one O(6)Li3TiCo2 octahedra,  an edgeedge with one O(7)Li3TiCo2 octahedra,  an edgeedge with one O(8)Li3TiCo2 octahedra, edges with two equivalent O(12)Li3TiCo2 octahedra, and edges with two equivalent O(16)Li3TiCo2 octahedra. The corner-sharing octahedral tilt angles range from 0-5°. In the fifteenth O site, O(15) is bonded to one Li(1), one Li(3), one Li(6), one Ti(1), one Co(2), and one Co(4) atom to form OLi3TiCo2 octahedra that share corners with two equivalent O(12)Li3TiCo2 octahedra, corners with four equivalent O(11)Li3TiCo2 octahedra,  an edgeedge with one O(1)Li3Co3 octahedra,  an edgeedge with one O(2)Li3Co3 octahedra,  an edgeedge with one O(3)Li3Co3 octahedra,  an edgeedge with one O(4)Li3Co3 octahedra,  an edgeedge with one O(5)Li3TiCo2 octahedra,  an edgeedge with one O(6)Li3TiCo2 octahedra,  an edgeedge with one O(7)Li3TiCo2 octahedra,  an edgeedge with one O(8)Li3TiCo2 octahedra, edges with two equivalent O(13)Li3TiCo2 octahedra, and edges with two equivalent O(9)Li3TiCo2 octahedra. The corner-sharing octahedral tilt angles range from 2-6°. In the sixteenth O site, O(16) is bonded to one Li(2), one Li(4), one Li(5), one Ti(2), one Co(1), and one Co(3) atom to form OLi3TiCo2 octahedra that share corners with two equivalent O(11)Li3TiCo2 octahedra, corners with four equivalent O(12)Li3TiCo2 octahedra,  an edgeedge with one O(1)Li3Co3 octahedra,  an edgeedge with one O(2)Li3Co3 octahedra,  an edgeedge with one O(3)Li3Co3 octahedra,  an edgeedge with one O(4)Li3Co3 octahedra,  an edgeedge with one O(5)Li3TiCo2 octahedra,  an edgeedge with one O(6)Li3TiCo2 octahedra,  an edgeedge with one O(7)Li3TiCo2 octahedra,  an edgeedge with one O(8)Li3TiCo2 octahedra, edges with two equivalent O(10)Li3TiCo2 octahedra, and edges with two equivalent O(14)Li3TiCo2 octahedra. The corner-sharing octahedral tilt angles range from 1-5°.