The compound described by Li4Ti3(CoO4)3 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(12), one O(14), one O(15), one O(2), one O(3), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(6)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, corners with two equivalent Co(4)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra, and edges with two equivalent Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-14°. In the second Li site, Li(2) is bonded to one O(1), one O(10), one O(11), one O(13), one O(16), and one O(4) atom to form LiO6 octahedra that share  a cornercorner with one Co(3)O6 octahedra,  a cornercorner with one Co(5)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, corners with two equivalent Co(4)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, and edges with two equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-15°. In the third Li site, Li(3) is bonded to one O(11), one O(13), one O(15), one O(6), one O(7), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Ti(4)O6 octahedra,  a cornercorner with one Ti(5)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, and edges with two equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-13°. In the fourth Li site, Li(4) is bonded to one O(10), one O(12), one O(14), one O(16), one O(5), and one O(8) atom to form LiO6 octahedra that share  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Ti(6)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra, and edges with two equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-13°. In the fifth Li site, Li(5) is bonded to one O(1), one O(10), one O(20), one O(21), one O(23), and one O(5) atom to form distorted LiO6 octahedra that share  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra, corners with two equivalent Co(3)O6 octahedra, corners with two equivalent Co(6)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra, and edges with two equivalent Ti(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-16°. In the sixth Li site, Li(6) is bonded to one O(19), one O(2), one O(22), one O(24), one O(6), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Co(4)O6 octahedra,  a cornercorner with one Co(5)O6 octahedra, corners with two equivalent Co(3)O6 octahedra, corners with two equivalent Co(6)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, and edges with two equivalent Ti(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-16°. In the seventh Li site, Li(7) is bonded to one O(11), one O(18), one O(21), one O(23), one O(4), and one O(7) atom to form LiO6 octahedra that share  a cornercorner with one Co(4)O6 octahedra,  a cornercorner with one Co(6)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with two equivalent Co(5)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra, and edges with two equivalent Ti(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-15°. In the eighth Li site, Li(8) is bonded to one O(12), one O(17), one O(22), one O(24), one O(3), and one O(8) atom to form distorted LiO6 octahedra that share  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with two equivalent Co(5)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, and edges with two equivalent Ti(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-16°. There are six inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(12), one O(14), one O(15), one O(17), one O(19), and one O(9) atom to form TiO6 octahedra that share corners with two equivalent Li(3)O6 octahedra, corners with two equivalent Li(4)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra,  an edgeedge with one Co(1)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, and edges with two equivalent Li(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-12°. In the second Ti site, Ti(2) is bonded to one O(10), one O(11), one O(13), one O(16), one O(18), and one O(20) atom to form TiO6 octahedra that share corners with two equivalent Li(3)O6 octahedra, corners with two equivalent Li(4)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, and edges with two equivalent Li(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-12°. In the third Ti site, Ti(3) is bonded to one O(13), one O(18), one O(21), one O(4), one O(5), and one O(7) atom to form TiO6 octahedra that share  a cornercorner with one Li(4)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra, and edges with two equivalent Li(7)O6 octahedra. The corner-sharing octahedral tilt angles are 13°. In the fourth Ti site, Ti(4) is bonded to one O(14), one O(17), one O(22), one O(3), one O(6), and one O(8) atom to form TiO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra,  an edgeedge with one Co(2)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, and edges with two equivalent Li(8)O6 octahedra. The corner-sharing octahedral tilt angles are 13°. In the fifth Ti site, Ti(5) is bonded to one O(1), one O(16), one O(20), one O(23), one O(5), and one O(7) atom to form TiO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one 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, and edges with two equivalent Li(5)O6 octahedra. The corner-sharing octahedral tilt angles are 10°. In the sixth Ti site, Ti(6) is bonded to one O(15), one O(19), one O(2), one O(24), one O(6), and one O(8) atom to form TiO6 octahedra that share  a cornercorner with one Li(4)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, and edges with two equivalent Li(6)O6 octahedra. The corner-sharing octahedral tilt angles are 11°. There are six inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(11), one O(13), one O(15), one O(21), one O(24), and one O(9) atom to form CoO6 octahedra that share  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Li(8)O6 octahedra, corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(2)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, and edges with two equivalent Li(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-13°. In the second Co site, Co(2) is bonded to one O(10), one O(18), one O(2), one O(22), one O(4), and one O(8) atom to form CoO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra, corners with two equivalent Li(7)O6 octahedra, corners with two equivalent Li(8)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra, and  an edgeedge with one Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-15°. In the third Co site, Co(3) is bonded to one O(12), one O(19), one O(2), one O(23), one O(4), and one O(5) atom to form CoO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(8)O6 octahedra, corners with two equivalent Li(5)O6 octahedra, corners with two equivalent Li(6)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, and  an edgeedge with one Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-16°. In the fourth Co site, Co(4) is bonded to one O(10), one O(12), one O(14), one O(16), one O(22), and one O(23) atom to form CoO6 octahedra that share  a cornercorner with one Li(6)O6 octahedra,  a cornercorner with one Li(7)O6 octahedra, corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(2)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra, and edges with two equivalent Li(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-12°. In the fifth Co site, Co(5) is bonded to one O(1), one O(17), one O(21), one O(3), one O(7), and one O(9) atom to form CoO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(6)O6 octahedra, corners with two equivalent Li(7)O6 octahedra, corners with two equivalent Li(8)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra, and  an edgeedge with one Co(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-16°. In the sixth Co site, Co(6) is bonded to one O(1), one O(11), one O(20), one O(24), one O(3), and one O(6) atom to form CoO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(7)O6 octahedra, corners with two equivalent Li(5)O6 octahedra, corners with two equivalent Li(6)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra, and  an edgeedge with one Co(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-16°. There are twenty-four inequivalent O sites. In the first O site, O(1) is bonded to one Li(2), one Li(5), one Ti(5), one Co(5), and one Co(6) atom to form OLi2TiCo2 square pyramids that share  a cornercorner with one O(9)Li3TiCo2 octahedra,  a cornercorner with one O(13)Li2Ti2Co square pyramid,  a cornercorner with one O(6)Li2Ti2Co square pyramid,  a cornercorner with one O(24)Li2TiCo2 square pyramid,  a cornercorner with one O(4)Li2TiCo2 square pyramid, corners with two equivalent O(23)Li2TiCo2 square pyramids,  an edgeedge with one O(10)Li3TiCo2 octahedra,  an edgeedge with one O(11)Li3TiCo2 octahedra,  an edgeedge with one O(16)Li2Ti2Co square pyramid,  an edgeedge with one O(5)Li2Ti2Co square pyramid,  an edgeedge with one O(7)Li2Ti2Co square pyramid,  an edgeedge with one O(21)Li2TiCo2 square pyramid, and  an edgeedge with one O(3)Li2TiCo2 square pyramid. The corner-sharing octahedral tilt angles are 4°. In the second O site, O(2) is bonded to one Li(1), one Li(6), one Ti(6), one Co(2), and one Co(3) atom to form OLi2TiCo2 square pyramids that share  a cornercorner with one O(10)Li3TiCo2 octahedra,  a cornercorner with one O(14)Li2Ti2Co square pyramid,  a cornercorner with one O(5)Li2Ti2Co square pyramid,  a cornercorner with one O(23)Li2TiCo2 square pyramid,  a cornercorner with one O(3)Li2TiCo2 square pyramid, corners with two equivalent O(24)Li2TiCo2 square pyramids,  an edgeedge with one O(12)Li3TiCo2 octahedra,  an edgeedge with one O(9)Li3TiCo2 octahedra,  an edgeedge with one O(15)Li2Ti2Co square pyramid,  an edgeedge with one O(6)Li2Ti2Co square pyramid,  an edgeedge with one O(8)Li2Ti2Co square pyramid,  an edgeedge with one O(22)Li2TiCo2 square pyramid, and  an edgeedge with one O(4)Li2TiCo2 square pyramid. The corner-sharing octahedral tilt angles are 3°. In the third O site, O(3) is bonded to one Li(1), one Li(8), one Ti(4), one Co(5), and one Co(6) atom to form OLi2TiCo2 square pyramids that share  a cornercorner with one O(11)Li3TiCo2 octahedra,  a cornercorner with one O(15)Li2Ti2Co square pyramid,  a cornercorner with one O(7)Li2Ti2Co square pyramid,  a cornercorner with one O(2)Li2TiCo2 square pyramid,  a cornercorner with one O(21)Li2TiCo2 square pyramid, corners with two equivalent O(22)Li2TiCo2 square pyramids,  an edgeedge with one O(12)Li3TiCo2 octahedra,  an edgeedge with one O(9)Li3TiCo2 octahedra,  an edgeedge with one O(14)Li2Ti2Co square pyramid,  an edgeedge with one O(6)Li2Ti2Co square pyramid,  an edgeedge with one O(8)Li2Ti2Co square pyramid,  an edgeedge with one O(1)Li2TiCo2 square pyramid, and  an edgeedge with one O(24)Li2TiCo2 square pyramid. The corner-sharing octahedral tilt angles are 3°. In the fourth O site, O(4) is bonded to one Li(2), one Li(7), one Ti(3), one Co(2), and one Co(3) atom to form OLi2TiCo2 square pyramids that share  a cornercorner with one O(12)Li3TiCo2 octahedra,  a cornercorner with one O(16)Li2Ti2Co square pyramid,  a cornercorner with one O(8)Li2Ti2Co square pyramid,  a cornercorner with one O(1)Li2TiCo2 square pyramid,  a cornercorner with one O(22)Li2TiCo2 square pyramid, corners with two equivalent O(21)Li2TiCo2 square pyramids,  an edgeedge with one O(10)Li3TiCo2 octahedra,  an edgeedge with one O(11)Li3TiCo2 octahedra,  an edgeedge with one O(13)Li2Ti2Co square pyramid,  an edgeedge with one O(5)Li2Ti2Co square pyramid,  an edgeedge with one O(7)Li2Ti2Co square pyramid,  an edgeedge with one O(2)Li2TiCo2 square pyramid, and  an edgeedge with one O(23)Li2TiCo2 square pyramid. The corner-sharing octahedral tilt angles are 3°. In the fifth O site, O(5) is bonded to one Li(4), one Li(5), one Ti(3), one Ti(5), and one Co(3) atom to form OLi2Ti2Co square pyramids that share  a cornercorner with one O(13)Li2Ti2Co square pyramid,  a cornercorner with one O(14)Li2Ti2Co square pyramid,  a cornercorner with one O(8)Li2Ti2Co square pyramid,  a cornercorner with one O(2)Li2TiCo2 square pyramid,  a cornercorner with one O(23)Li2TiCo2 square pyramid,  an edgeedge with one O(10)Li3TiCo2 octahedra,  an edgeedge with one O(12)Li3TiCo2 octahedra,  an edgeedge with one O(16)Li2Ti2Co square pyramid,  an edgeedge with one O(7)Li2Ti2Co square pyramid,  an edgeedge with one O(1)Li2TiCo2 square pyramid,  an edgeedge with one O(21)Li2TiCo2 square pyramid,  an edgeedge with one O(23)Li2TiCo2 square pyramid, and  an edgeedge with one O(4)Li2TiCo2 square pyramid. In the sixth O site, O(6) is bonded to one Li(3), one Li(6), one Ti(4), one Ti(6), and one Co(6) atom to form OLi2Ti2Co square pyramids that share  a cornercorner with one O(13)Li2Ti2Co square pyramid,  a cornercorner with one O(14)Li2Ti2Co square pyramid,  a cornercorner with one O(7)Li2Ti2Co square pyramid,  a cornercorner with one O(1)Li2TiCo2 square pyramid,  a cornercorner with one O(24)Li2TiCo2 square pyramid,  an edgeedge with one O(11)Li3TiCo2 octahedra,  an edgeedge with one O(9)Li3TiCo2 octahedra,  an edgeedge with one O(15)Li2Ti2Co square pyramid,  an edgeedge with one O(8)Li2Ti2Co square pyramid,  an edgeedge with one O(2)Li2TiCo2 square pyramid,  an edgeedge with one O(22)Li2TiCo2 square pyramid,  an edgeedge with one O(24)Li2TiCo2 square pyramid, and  an edgeedge with one O(3)Li2TiCo2 square pyramid. In the seventh O site, O(7) is bonded to one Li(3), one Li(7), one Ti(3), one Ti(5), and one Co(5) atom to form OLi2Ti2Co square pyramids that share  a cornercorner with one O(15)Li2Ti2Co square pyramid,  a cornercorner with one O(16)Li2Ti2Co square pyramid,  a cornercorner with one O(6)Li2Ti2Co square pyramid,  a cornercorner with one O(21)Li2TiCo2 square pyramid,  a cornercorner with one O(3)Li2TiCo2 square pyramid,  an edgeedge with one O(11)Li3TiCo2 octahedra,  an edgeedge with one O(9)Li3TiCo2 octahedra,  an edgeedge with one O(13)Li2Ti2Co square pyramid,  an edgeedge with one O(5)Li2Ti2Co square pyramid,  an edgeedge with one O(1)Li2TiCo2 square pyramid,  an edgeedge with one O(21)Li2TiCo2 square pyramid,  an edgeedge with one O(23)Li2TiCo2 square pyramid, and  an edgeedge with one O(4)Li2TiCo2 square pyramid. In the eighth O site, O(8) is bonded to one Li(4), one Li(8), one Ti(4), one Ti(6), and one Co(2) atom to form OLi2Ti2Co square pyramids that share  a cornercorner with one O(15)Li2Ti2Co square pyramid,  a cornercorner with one O(16)Li2Ti2Co square pyramid,  a cornercorner with one O(5)Li2Ti2Co square pyramid,  a cornercorner with one O(22)Li2TiCo2 square pyramid,  a cornercorner with one O(4)Li2TiCo2 square pyramid,  an edgeedge with one O(10)Li3TiCo2 octahedra,  an edgeedge with one O(12)Li3TiCo2 octahedra,  an edgeedge with one O(14)Li2Ti2Co square pyramid,  an edgeedge with one O(6)Li2Ti2Co square pyramid,  an edgeedge with one O(2)Li2TiCo2 square pyramid,  an edgeedge with one O(22)Li2TiCo2 square pyramid,  an edgeedge with one O(24)Li2TiCo2 square pyramid, and  an edgeedge with one O(3)Li2TiCo2 square pyramid. In the ninth O site, O(9) is bonded to one Li(1), one Li(3), one Li(6), one Ti(1), one Co(1), and one Co(5) atom to form OLi3TiCo2 octahedra that share corners with two equivalent O(11)Li3TiCo2 octahedra, corners with two equivalent O(12)Li3TiCo2 octahedra,  a cornercorner with one O(1)Li2TiCo2 square pyramid,  a cornercorner with one O(22)Li2TiCo2 square pyramid,  an edgeedge with one O(13)Li2Ti2Co square pyramid,  an edgeedge with one O(14)Li2Ti2Co square pyramid,  an edgeedge with one O(6)Li2Ti2Co square pyramid,  an edgeedge with one O(7)Li2Ti2Co square pyramid,  an edgeedge with one O(2)Li2TiCo2 square pyramid,  an edgeedge with one O(21)Li2TiCo2 square pyramid,  an edgeedge with one O(24)Li2TiCo2 square pyramid,  an edgeedge with one O(3)Li2TiCo2 square pyramid, and edges with two equivalent O(15)Li2Ti2Co square pyramids. The corner-sharing octahedral tilt angles range from 1-3°. In the tenth O site, O(10) is bonded to one Li(2), one Li(4), one Li(5), one Ti(2), one Co(2), and one Co(4) atom to form OLi3TiCo2 octahedra that share corners with two equivalent O(11)Li3TiCo2 octahedra, corners with two equivalent O(12)Li3TiCo2 octahedra,  a cornercorner with one O(2)Li2TiCo2 square pyramid,  a cornercorner with one O(21)Li2TiCo2 square pyramid,  an edgeedge with one O(13)Li2Ti2Co square pyramid,  an edgeedge with one O(14)Li2Ti2Co square pyramid,  an edgeedge with one O(5)Li2Ti2Co square pyramid,  an edgeedge with one O(8)Li2Ti2Co square pyramid,  an edgeedge with one O(1)Li2TiCo2 square pyramid,  an edgeedge with one O(22)Li2TiCo2 square pyramid,  an edgeedge with one O(23)Li2TiCo2 square pyramid,  an edgeedge with one O(4)Li2TiCo2 square pyramid, and edges with two equivalent O(16)Li2Ti2Co square pyramids. The corner-sharing octahedral tilt angles range from 1-5°. In the eleventh O site, O(11) is bonded to one Li(2), one Li(3), one Li(7), one Ti(2), one Co(1), and one Co(6) atom to form OLi3TiCo2 octahedra that share corners with two equivalent O(10)Li3TiCo2 octahedra, corners with two equivalent O(9)Li3TiCo2 octahedra,  a cornercorner with one O(23)Li2TiCo2 square pyramid,  a cornercorner with one O(3)Li2TiCo2 square pyramid,  an edgeedge with one O(15)Li2Ti2Co square pyramid,  an edgeedge with one O(16)Li2Ti2Co square pyramid,  an edgeedge with one O(6)Li2Ti2Co square pyramid,  an edgeedge with one O(7)Li2Ti2Co square pyramid,  an edgeedge with one O(1)Li2TiCo2 square pyramid,  an edgeedge with one O(21)Li2TiCo2 square pyramid,  an edgeedge with one O(24)Li2TiCo2 square pyramid,  an edgeedge with one O(4)Li2TiCo2 square pyramid, and edges with two equivalent O(13)Li2Ti2Co square pyramids. The corner-sharing octahedral tilt angles range from 1-5°. In the twelfth O site, O(12) is bonded to one Li(1), one Li(4), one Li(8), one Ti(1), one Co(3), and one Co(4) atom to form OLi3TiCo2 octahedra that share corners with two equivalent O(10)Li3TiCo2 octahedra, corners with two equivalent O(9)Li3TiCo2 octahedra,  a cornercorner with one O(24)Li2TiCo2 square pyramid,  a cornercorner with one O(4)Li2TiCo2 square pyramid,  an edgeedge with one O(15)Li2Ti2Co square pyramid,  an edgeedge with one O(16)Li2Ti2Co square pyramid,  an edgeedge with one O(5)Li2Ti2Co square pyramid,  an edgeedge with one O(8)Li2Ti2Co square pyramid,  an edgeedge with one O(2)Li2TiCo2 square pyramid,  an edgeedge with one O(22)Li2TiCo2 square pyramid,  an edgeedge with one O(23)Li2TiCo2 square pyramid,  an edgeedge with one O(3)Li2TiCo2 square pyramid, and edges with two equivalent O(14)Li2Ti2Co square pyramids. The corner-sharing octahedral tilt angles range from 1-3°. In the thirteenth O site, O(13) is bonded to one Li(2), one Li(3), one Ti(2), one Ti(3), and one Co(1) atom to form OLi2Ti2Co square pyramids that share  a cornercorner with one O(5)Li2Ti2Co square pyramid,  a cornercorner with one O(6)Li2Ti2Co square pyramid,  a cornercorner with one O(1)Li2TiCo2 square pyramid,  a cornercorner with one O(24)Li2TiCo2 square pyramid, corners with two equivalent O(15)Li2Ti2Co square pyramids, corners with two equivalent O(16)Li2Ti2Co square pyramids,  an edgeedge with one O(10)Li3TiCo2 octahedra,  an edgeedge with one O(9)Li3TiCo2 octahedra, edges with two equivalent O(11)Li3TiCo2 octahedra,  an edgeedge with one O(7)Li2Ti2Co square pyramid,  an edgeedge with one O(21)Li2TiCo2 square pyramid, and  an edgeedge with one O(4)Li2TiCo2 square pyramid. In the fourteenth O site, O(14) is bonded to one Li(1), one Li(4), one Ti(1), one Ti(4), and one Co(4) atom to form OLi2Ti2Co square pyramids that share  a cornercorner with one O(5)Li2Ti2Co square pyramid,  a cornercorner with one O(6)Li2Ti2Co square pyramid,  a cornercorner with one O(2)Li2TiCo2 square pyramid,  a cornercorner with one O(23)Li2TiCo2 square pyramid, corners with two equivalent O(15)Li2Ti2Co square pyramids, corners with two equivalent O(16)Li2Ti2Co square pyramids,  an edgeedge with one O(10)Li3TiCo2 octahedra,  an edgeedge with one O(9)Li3TiCo2 octahedra, edges with two equivalent O(12)Li3TiCo2 octahedra,  an edgeedge with one O(8)Li2Ti2Co square pyramid,  an edgeedge with one O(22)Li2TiCo2 square pyramid, and  an edgeedge with one O(3)Li2TiCo2 square pyramid. In the fifteenth O site, O(15) is bonded to one Li(1), one Li(3), one Ti(1), one Ti(6), and one Co(1) atom to form OLi2Ti2Co square pyramids that share  a cornercorner with one O(7)Li2Ti2Co square pyramid,  a cornercorner with one O(8)Li2Ti2Co square pyramid,  a cornercorner with one O(21)Li2TiCo2 square pyramid,  a cornercorner with one O(3)Li2TiCo2 square pyramid, corners with two equivalent O(13)Li2Ti2Co square pyramids, corners with two equivalent O(14)Li2Ti2Co square pyramids,  an edgeedge with one O(11)Li3TiCo2 octahedra,  an edgeedge with one O(12)Li3TiCo2 octahedra, edges with two equivalent O(9)Li3TiCo2 octahedra,  an edgeedge with one O(6)Li2Ti2Co square pyramid,  an edgeedge with one O(2)Li2TiCo2 square pyramid, and  an edgeedge with one O(24)Li2TiCo2 square pyramid. In the sixteenth O site, O(16) is bonded to one Li(2), one Li(4), one Ti(2), one Ti(5), and one Co(4) atom to form OLi2Ti2Co square pyramids that share  a cornercorner with one O(7)Li2Ti2Co square pyramid,  a cornercorner with one O(8)Li2Ti2Co square pyramid,  a cornercorner with one O(22)Li2TiCo2 square pyramid,  a cornercorner with one O(4)Li2TiCo2 square pyramid, corners with two equivalent O(13)Li2Ti2Co square pyramids, corners with two equivalent O(14)Li2Ti2Co square pyramids,  an edgeedge with one O(11)Li3TiCo2 octahedra,  an edgeedge with one O(12)Li3TiCo2 octahedra, edges with two equivalent O(10)Li3TiCo2 octahedra,  an edgeedge with one O(5)Li2Ti2Co square pyramid,  an edgeedge with one O(1)Li2TiCo2 square pyramid, and  an edgeedge with one O(23)Li2TiCo2 square pyramid. In the seventeenth O site, O(17) is bonded in a rectangular see-saw-like geometry to one Li(8), one Ti(1), one Ti(4), and one Co(5) atom. In the eighteenth O site, O(18) is bonded in a rectangular see-saw-like geometry to one Li(7), one Ti(2), one Ti(3), and one Co(2) atom. In the nineteenth O site, O(19) is bonded in a rectangular see-saw-like geometry to one Li(6), one Ti(1), one Ti(6), and one Co(3) atom. In the twentieth O site, O(20) is bonded in a rectangular see-saw-like geometry to one Li(5), one Ti(2), one Ti(5), and one Co(6) atom. In the twenty-first O site, O(21) is bonded to one Li(5), one Li(7), one Ti(3), one Co(1), and one Co(5) atom to form OLi2TiCo2 square pyramids that share  a cornercorner with one O(10)Li3TiCo2 octahedra,  a cornercorner with one O(15)Li2Ti2Co square pyramid,  a cornercorner with one O(7)Li2Ti2Co square pyramid,  a cornercorner with one O(24)Li2TiCo2 square pyramid,  a cornercorner with one O(3)Li2TiCo2 square pyramid, corners with two equivalent O(4)Li2TiCo2 square pyramids,  an edgeedge with one O(11)Li3TiCo2 octahedra,  an edgeedge with one O(9)Li3TiCo2 octahedra,  an edgeedge with one O(13)Li2Ti2Co square pyramid,  an edgeedge with one O(5)Li2Ti2Co square pyramid,  an edgeedge with one O(7)Li2Ti2Co square pyramid,  an edgeedge with one O(1)Li2TiCo2 square pyramid, and  an edgeedge with one O(23)Li2TiCo2 square pyramid. The corner-sharing octahedral tilt angles are 9°. In the twenty-second O site, O(22) is bonded to one Li(6), one Li(8), one Ti(4), one Co(2), and one Co(4) atom to form distorted OLi2TiCo2 square pyramids that share  a cornercorner with one O(9)Li3TiCo2 octahedra,  a cornercorner with one O(16)Li2Ti2Co square pyramid,  a cornercorner with one O(8)Li2Ti2Co square pyramid,  a cornercorner with one O(23)Li2TiCo2 square pyramid,  a cornercorner with one O(4)Li2TiCo2 square pyramid, corners with two equivalent O(3)Li2TiCo2 square pyramids,  an edgeedge with one O(10)Li3TiCo2 octahedra,  an edgeedge with one O(12)Li3TiCo2 octahedra,  an edgeedge with one O(14)Li2Ti2Co square pyramid,  an edgeedge with one O(6)Li2Ti2Co square pyramid,  an edgeedge with one O(8)Li2Ti2Co square pyramid,  an edgeedge with one O(2)Li2TiCo2 square pyramid, and  an edgeedge with one O(24)Li2TiCo2 square pyramid. The corner-sharing octahedral tilt angles are 7°. In the twenty-third O site, O(23) is bonded to one Li(5), one Li(7), one Ti(5), one Co(3), and one Co(4) atom to form OLi2TiCo2 square pyramids that share  a cornercorner with one O(11)Li3TiCo2 octahedra,  a cornercorner with one O(14)Li2Ti2Co square pyramid,  a cornercorner with one O(5)Li2Ti2Co square pyramid,  a cornercorner with one O(2)Li2TiCo2 square pyramid,  a cornercorner with one O(22)Li2TiCo2 square pyramid, corners with two equivalent O(1)Li2TiCo2 square pyramids,  an edgeedge with one O(10)Li3TiCo2 octahedra,  an edgeedge with one O(12)Li3TiCo2 octahedra,  an edgeedge with one O(16)Li2Ti2Co square pyramid,  an edgeedge with one O(5)Li2Ti2Co square pyramid,  an edgeedge with one O(7)Li2Ti2Co square pyramid,  an edgeedge with one O(21)Li2TiCo2 square pyramid, and  an edgeedge with one O(4)Li2TiCo2 square pyramid. The corner-sharing octahedral tilt angles are 5°. In the twenty-fourth O site, O(24) is bonded to one Li(6), one Li(8), one Ti(6), one Co(1), and one Co(6) atom to form OLi2TiCo2 square pyramids that share  a cornercorner with one O(12)Li3TiCo2 octahedra,  a cornercorner with one O(13)Li2Ti2Co square pyramid,  a cornercorner with one O(6)Li2Ti2Co square pyramid,  a cornercorner with one O(1)Li2TiCo2 square pyramid,  a cornercorner with one O(21)Li2TiCo2 square pyramid, corners with two equivalent O(2)Li2TiCo2 square pyramids,  an edgeedge with one O(11)Li3TiCo2 octahedra,  an edgeedge with one O(9)Li3TiCo2 octahedra,  an edgeedge with one O(15)Li2Ti2Co square pyramid,  an edgeedge with one O(6)Li2Ti2Co square pyramid,  an edgeedge with one O(8)Li2Ti2Co square pyramid,  an edgeedge with one O(22)Li2TiCo2 square pyramid, and  an edgeedge with one O(3)Li2TiCo2 square pyramid. The corner-sharing octahedral tilt angles are 9°. is represented by the CIF file [CIF]
data_Li4Ti3(CoO4)3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.906
_cell_length_b   6.071
_cell_length_c   6.679
_cell_angle_alpha   76.944
_cell_angle_beta   77.875
_cell_angle_gamma   91.730
_symmetry_Int_Tables_number   1
_cell_volume   227.323
_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
  Co  Co0  1  0.668  0.165  0.333  1.0
  Co  Co1  1  0.333  0.831  0.665  1.0
  Co  Co2  1  0.999  0.502  0.003  1.0
  Li  Li3  1  0.164  0.671  0.332  1.0
  Li  Li4  1  0.666  0.666  0.331  1.0
  Li  Li5  1  0.463  0.988  0.000  1.0
  Li  Li6  1  0.866  0.345  0.667  1.0
  O  O7  1  0.258  0.709  0.992  1.0
  O  O8  1  0.073  0.622  0.676  1.0
  O  O9  1  0.738  0.729  0.989  1.0
  O  O10  1  0.592  0.598  0.677  1.0
  O  O11  1  0.396  0.932  0.343  1.0
  O  O12  1  0.937  0.400  0.327  1.0
  O  O13  1  0.912  0.925  0.366  1.0
  O  O14  1  0.420  0.405  0.306  1.0
  O  O15  1  0.078  0.078  0.646  1.0
  O  O16  1  0.255  0.255  0.024  1.0
  O  O17  1  0.577  0.041  0.675  1.0
  O  O18  1  0.754  0.289  0.994  1.0
  Ti  Ti19  1  0.175  0.175  0.333  1.0
  Ti  Ti20  1  0.836  0.854  0.675  1.0
  Ti  Ti21  1  0.504  0.485  0.979  1.0
[/CIF]
.
The compound described by Li4Ti3(CoO4)3 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(12), one O(14), one O(15), one O(2), one O(3), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(6)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, corners with two equivalent Co(4)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra, and edges with two equivalent Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-14°. In the second Li site, Li(2) is bonded to one O(1), one O(10), one O(11), one O(13), one O(16), and one O(4) atom to form LiO6 octahedra that share  a cornercorner with one Co(3)O6 octahedra,  a cornercorner with one Co(5)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, corners with two equivalent Co(4)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, and edges with two equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-15°. In the third Li site, Li(3) is bonded to one O(11), one O(13), one O(15), one O(6), one O(7), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Ti(4)O6 octahedra,  a cornercorner with one Ti(5)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, and edges with two equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-13°. In the fourth Li site, Li(4) is bonded to one O(10), one O(12), one O(14), one O(16), one O(5), and one O(8) atom to form LiO6 octahedra that share  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Ti(6)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra, and edges with two equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-13°. In the fifth Li site, Li(5) is bonded to one O(1), one O(10), one O(20), one O(21), one O(23), and one O(5) atom to form distorted LiO6 octahedra that share  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra, corners with two equivalent Co(3)O6 octahedra, corners with two equivalent Co(6)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra, and edges with two equivalent Ti(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-16°. In the sixth Li site, Li(6) is bonded to one O(19), one O(2), one O(22), one O(24), one O(6), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Co(4)O6 octahedra,  a cornercorner with one Co(5)O6 octahedra, corners with two equivalent Co(3)O6 octahedra, corners with two equivalent Co(6)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, and edges with two equivalent Ti(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-16°. In the seventh Li site, Li(7) is bonded to one O(11), one O(18), one O(21), one O(23), one O(4), and one O(7) atom to form LiO6 octahedra that share  a cornercorner with one Co(4)O6 octahedra,  a cornercorner with one Co(6)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with two equivalent Co(5)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra, and edges with two equivalent Ti(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-15°. In the eighth Li site, Li(8) is bonded to one O(12), one O(17), one O(22), one O(24), one O(3), and one O(8) atom to form distorted LiO6 octahedra that share  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with two equivalent Co(5)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, and edges with two equivalent Ti(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-16°. There are six inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(12), one O(14), one O(15), one O(17), one O(19), and one O(9) atom to form TiO6 octahedra that share corners with two equivalent Li(3)O6 octahedra, corners with two equivalent Li(4)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra,  an edgeedge with one Co(1)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, and edges with two equivalent Li(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-12°. In the second Ti site, Ti(2) is bonded to one O(10), one O(11), one O(13), one O(16), one O(18), and one O(20) atom to form TiO6 octahedra that share corners with two equivalent Li(3)O6 octahedra, corners with two equivalent Li(4)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, and edges with two equivalent Li(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-12°. In the third Ti site, Ti(3) is bonded to one O(13), one O(18), one O(21), one O(4), one O(5), and one O(7) atom to form TiO6 octahedra that share  a cornercorner with one Li(4)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra, and edges with two equivalent Li(7)O6 octahedra. The corner-sharing octahedral tilt angles are 13°. In the fourth Ti site, Ti(4) is bonded to one O(14), one O(17), one O(22), one O(3), one O(6), and one O(8) atom to form TiO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra,  an edgeedge with one Co(2)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, and edges with two equivalent Li(8)O6 octahedra. The corner-sharing octahedral tilt angles are 13°. In the fifth Ti site, Ti(5) is bonded to one O(1), one O(16), one O(20), one O(23), one O(5), and one O(7) atom to form TiO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one 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, and edges with two equivalent Li(5)O6 octahedra. The corner-sharing octahedral tilt angles are 10°. In the sixth Ti site, Ti(6) is bonded to one O(15), one O(19), one O(2), one O(24), one O(6), and one O(8) atom to form TiO6 octahedra that share  a cornercorner with one Li(4)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, and edges with two equivalent Li(6)O6 octahedra. The corner-sharing octahedral tilt angles are 11°. There are six inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(11), one O(13), one O(15), one O(21), one O(24), and one O(9) atom to form CoO6 octahedra that share  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Li(8)O6 octahedra, corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(2)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, and edges with two equivalent Li(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-13°. In the second Co site, Co(2) is bonded to one O(10), one O(18), one O(2), one O(22), one O(4), and one O(8) atom to form CoO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra, corners with two equivalent Li(7)O6 octahedra, corners with two equivalent Li(8)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra, and  an edgeedge with one Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-15°. In the third Co site, Co(3) is bonded to one O(12), one O(19), one O(2), one O(23), one O(4), and one O(5) atom to form CoO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(8)O6 octahedra, corners with two equivalent Li(5)O6 octahedra, corners with two equivalent Li(6)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, and  an edgeedge with one Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-16°. In the fourth Co site, Co(4) is bonded to one O(10), one O(12), one O(14), one O(16), one O(22), and one O(23) atom to form CoO6 octahedra that share  a cornercorner with one Li(6)O6 octahedra,  a cornercorner with one Li(7)O6 octahedra, corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(2)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra, and edges with two equivalent Li(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-12°. In the fifth Co site, Co(5) is bonded to one O(1), one O(17), one O(21), one O(3), one O(7), and one O(9) atom to form CoO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(6)O6 octahedra, corners with two equivalent Li(7)O6 octahedra, corners with two equivalent Li(8)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra, and  an edgeedge with one Co(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-16°. In the sixth Co site, Co(6) is bonded to one O(1), one O(11), one O(20), one O(24), one O(3), and one O(6) atom to form CoO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(7)O6 octahedra, corners with two equivalent Li(5)O6 octahedra, corners with two equivalent Li(6)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra, and  an edgeedge with one Co(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-16°. There are twenty-four inequivalent O sites. In the first O site, O(1) is bonded to one Li(2), one Li(5), one Ti(5), one Co(5), and one Co(6) atom to form OLi2TiCo2 square pyramids that share  a cornercorner with one O(9)Li3TiCo2 octahedra,  a cornercorner with one O(13)Li2Ti2Co square pyramid,  a cornercorner with one O(6)Li2Ti2Co square pyramid,  a cornercorner with one O(24)Li2TiCo2 square pyramid,  a cornercorner with one O(4)Li2TiCo2 square pyramid, corners with two equivalent O(23)Li2TiCo2 square pyramids,  an edgeedge with one O(10)Li3TiCo2 octahedra,  an edgeedge with one O(11)Li3TiCo2 octahedra,  an edgeedge with one O(16)Li2Ti2Co square pyramid,  an edgeedge with one O(5)Li2Ti2Co square pyramid,  an edgeedge with one O(7)Li2Ti2Co square pyramid,  an edgeedge with one O(21)Li2TiCo2 square pyramid, and  an edgeedge with one O(3)Li2TiCo2 square pyramid. The corner-sharing octahedral tilt angles are 4°. In the second O site, O(2) is bonded to one Li(1), one Li(6), one Ti(6), one Co(2), and one Co(3) atom to form OLi2TiCo2 square pyramids that share  a cornercorner with one O(10)Li3TiCo2 octahedra,  a cornercorner with one O(14)Li2Ti2Co square pyramid,  a cornercorner with one O(5)Li2Ti2Co square pyramid,  a cornercorner with one O(23)Li2TiCo2 square pyramid,  a cornercorner with one O(3)Li2TiCo2 square pyramid, corners with two equivalent O(24)Li2TiCo2 square pyramids,  an edgeedge with one O(12)Li3TiCo2 octahedra,  an edgeedge with one O(9)Li3TiCo2 octahedra,  an edgeedge with one O(15)Li2Ti2Co square pyramid,  an edgeedge with one O(6)Li2Ti2Co square pyramid,  an edgeedge with one O(8)Li2Ti2Co square pyramid,  an edgeedge with one O(22)Li2TiCo2 square pyramid, and  an edgeedge with one O(4)Li2TiCo2 square pyramid. The corner-sharing octahedral tilt angles are 3°. In the third O site, O(3) is bonded to one Li(1), one Li(8), one Ti(4), one Co(5), and one Co(6) atom to form OLi2TiCo2 square pyramids that share  a cornercorner with one O(11)Li3TiCo2 octahedra,  a cornercorner with one O(15)Li2Ti2Co square pyramid,  a cornercorner with one O(7)Li2Ti2Co square pyramid,  a cornercorner with one O(2)Li2TiCo2 square pyramid,  a cornercorner with one O(21)Li2TiCo2 square pyramid, corners with two equivalent O(22)Li2TiCo2 square pyramids,  an edgeedge with one O(12)Li3TiCo2 octahedra,  an edgeedge with one O(9)Li3TiCo2 octahedra,  an edgeedge with one O(14)Li2Ti2Co square pyramid,  an edgeedge with one O(6)Li2Ti2Co square pyramid,  an edgeedge with one O(8)Li2Ti2Co square pyramid,  an edgeedge with one O(1)Li2TiCo2 square pyramid, and  an edgeedge with one O(24)Li2TiCo2 square pyramid. The corner-sharing octahedral tilt angles are 3°. In the fourth O site, O(4) is bonded to one Li(2), one Li(7), one Ti(3), one Co(2), and one Co(3) atom to form OLi2TiCo2 square pyramids that share  a cornercorner with one O(12)Li3TiCo2 octahedra,  a cornercorner with one O(16)Li2Ti2Co square pyramid,  a cornercorner with one O(8)Li2Ti2Co square pyramid,  a cornercorner with one O(1)Li2TiCo2 square pyramid,  a cornercorner with one O(22)Li2TiCo2 square pyramid, corners with two equivalent O(21)Li2TiCo2 square pyramids,  an edgeedge with one O(10)Li3TiCo2 octahedra,  an edgeedge with one O(11)Li3TiCo2 octahedra,  an edgeedge with one O(13)Li2Ti2Co square pyramid,  an edgeedge with one O(5)Li2Ti2Co square pyramid,  an edgeedge with one O(7)Li2Ti2Co square pyramid,  an edgeedge with one O(2)Li2TiCo2 square pyramid, and  an edgeedge with one O(23)Li2TiCo2 square pyramid. The corner-sharing octahedral tilt angles are 3°. In the fifth O site, O(5) is bonded to one Li(4), one Li(5), one Ti(3), one Ti(5), and one Co(3) atom to form OLi2Ti2Co square pyramids that share  a cornercorner with one O(13)Li2Ti2Co square pyramid,  a cornercorner with one O(14)Li2Ti2Co square pyramid,  a cornercorner with one O(8)Li2Ti2Co square pyramid,  a cornercorner with one O(2)Li2TiCo2 square pyramid,  a cornercorner with one O(23)Li2TiCo2 square pyramid,  an edgeedge with one O(10)Li3TiCo2 octahedra,  an edgeedge with one O(12)Li3TiCo2 octahedra,  an edgeedge with one O(16)Li2Ti2Co square pyramid,  an edgeedge with one O(7)Li2Ti2Co square pyramid,  an edgeedge with one O(1)Li2TiCo2 square pyramid,  an edgeedge with one O(21)Li2TiCo2 square pyramid,  an edgeedge with one O(23)Li2TiCo2 square pyramid, and  an edgeedge with one O(4)Li2TiCo2 square pyramid. In the sixth O site, O(6) is bonded to one Li(3), one Li(6), one Ti(4), one Ti(6), and one Co(6) atom to form OLi2Ti2Co square pyramids that share  a cornercorner with one O(13)Li2Ti2Co square pyramid,  a cornercorner with one O(14)Li2Ti2Co square pyramid,  a cornercorner with one O(7)Li2Ti2Co square pyramid,  a cornercorner with one O(1)Li2TiCo2 square pyramid,  a cornercorner with one O(24)Li2TiCo2 square pyramid,  an edgeedge with one O(11)Li3TiCo2 octahedra,  an edgeedge with one O(9)Li3TiCo2 octahedra,  an edgeedge with one O(15)Li2Ti2Co square pyramid,  an edgeedge with one O(8)Li2Ti2Co square pyramid,  an edgeedge with one O(2)Li2TiCo2 square pyramid,  an edgeedge with one O(22)Li2TiCo2 square pyramid,  an edgeedge with one O(24)Li2TiCo2 square pyramid, and  an edgeedge with one O(3)Li2TiCo2 square pyramid. In the seventh O site, O(7) is bonded to one Li(3), one Li(7), one Ti(3), one Ti(5), and one Co(5) atom to form OLi2Ti2Co square pyramids that share  a cornercorner with one O(15)Li2Ti2Co square pyramid,  a cornercorner with one O(16)Li2Ti2Co square pyramid,  a cornercorner with one O(6)Li2Ti2Co square pyramid,  a cornercorner with one O(21)Li2TiCo2 square pyramid,  a cornercorner with one O(3)Li2TiCo2 square pyramid,  an edgeedge with one O(11)Li3TiCo2 octahedra,  an edgeedge with one O(9)Li3TiCo2 octahedra,  an edgeedge with one O(13)Li2Ti2Co square pyramid,  an edgeedge with one O(5)Li2Ti2Co square pyramid,  an edgeedge with one O(1)Li2TiCo2 square pyramid,  an edgeedge with one O(21)Li2TiCo2 square pyramid,  an edgeedge with one O(23)Li2TiCo2 square pyramid, and  an edgeedge with one O(4)Li2TiCo2 square pyramid. In the eighth O site, O(8) is bonded to one Li(4), one Li(8), one Ti(4), one Ti(6), and one Co(2) atom to form OLi2Ti2Co square pyramids that share  a cornercorner with one O(15)Li2Ti2Co square pyramid,  a cornercorner with one O(16)Li2Ti2Co square pyramid,  a cornercorner with one O(5)Li2Ti2Co square pyramid,  a cornercorner with one O(22)Li2TiCo2 square pyramid,  a cornercorner with one O(4)Li2TiCo2 square pyramid,  an edgeedge with one O(10)Li3TiCo2 octahedra,  an edgeedge with one O(12)Li3TiCo2 octahedra,  an edgeedge with one O(14)Li2Ti2Co square pyramid,  an edgeedge with one O(6)Li2Ti2Co square pyramid,  an edgeedge with one O(2)Li2TiCo2 square pyramid,  an edgeedge with one O(22)Li2TiCo2 square pyramid,  an edgeedge with one O(24)Li2TiCo2 square pyramid, and  an edgeedge with one O(3)Li2TiCo2 square pyramid. In the ninth O site, O(9) is bonded to one Li(1), one Li(3), one Li(6), one Ti(1), one Co(1), and one Co(5) atom to form OLi3TiCo2 octahedra that share corners with two equivalent O(11)Li3TiCo2 octahedra, corners with two equivalent O(12)Li3TiCo2 octahedra,  a cornercorner with one O(1)Li2TiCo2 square pyramid,  a cornercorner with one O(22)Li2TiCo2 square pyramid,  an edgeedge with one O(13)Li2Ti2Co square pyramid,  an edgeedge with one O(14)Li2Ti2Co square pyramid,  an edgeedge with one O(6)Li2Ti2Co square pyramid,  an edgeedge with one O(7)Li2Ti2Co square pyramid,  an edgeedge with one O(2)Li2TiCo2 square pyramid,  an edgeedge with one O(21)Li2TiCo2 square pyramid,  an edgeedge with one O(24)Li2TiCo2 square pyramid,  an edgeedge with one O(3)Li2TiCo2 square pyramid, and edges with two equivalent O(15)Li2Ti2Co square pyramids. The corner-sharing octahedral tilt angles range from 1-3°. In the tenth O site, O(10) is bonded to one Li(2), one Li(4), one Li(5), one Ti(2), one Co(2), and one Co(4) atom to form OLi3TiCo2 octahedra that share corners with two equivalent O(11)Li3TiCo2 octahedra, corners with two equivalent O(12)Li3TiCo2 octahedra,  a cornercorner with one O(2)Li2TiCo2 square pyramid,  a cornercorner with one O(21)Li2TiCo2 square pyramid,  an edgeedge with one O(13)Li2Ti2Co square pyramid,  an edgeedge with one O(14)Li2Ti2Co square pyramid,  an edgeedge with one O(5)Li2Ti2Co square pyramid,  an edgeedge with one O(8)Li2Ti2Co square pyramid,  an edgeedge with one O(1)Li2TiCo2 square pyramid,  an edgeedge with one O(22)Li2TiCo2 square pyramid,  an edgeedge with one O(23)Li2TiCo2 square pyramid,  an edgeedge with one O(4)Li2TiCo2 square pyramid, and edges with two equivalent O(16)Li2Ti2Co square pyramids. The corner-sharing octahedral tilt angles range from 1-5°. In the eleventh O site, O(11) is bonded to one Li(2), one Li(3), one Li(7), one Ti(2), one Co(1), and one Co(6) atom to form OLi3TiCo2 octahedra that share corners with two equivalent O(10)Li3TiCo2 octahedra, corners with two equivalent O(9)Li3TiCo2 octahedra,  a cornercorner with one O(23)Li2TiCo2 square pyramid,  a cornercorner with one O(3)Li2TiCo2 square pyramid,  an edgeedge with one O(15)Li2Ti2Co square pyramid,  an edgeedge with one O(16)Li2Ti2Co square pyramid,  an edgeedge with one O(6)Li2Ti2Co square pyramid,  an edgeedge with one O(7)Li2Ti2Co square pyramid,  an edgeedge with one O(1)Li2TiCo2 square pyramid,  an edgeedge with one O(21)Li2TiCo2 square pyramid,  an edgeedge with one O(24)Li2TiCo2 square pyramid,  an edgeedge with one O(4)Li2TiCo2 square pyramid, and edges with two equivalent O(13)Li2Ti2Co square pyramids. The corner-sharing octahedral tilt angles range from 1-5°. In the twelfth O site, O(12) is bonded to one Li(1), one Li(4), one Li(8), one Ti(1), one Co(3), and one Co(4) atom to form OLi3TiCo2 octahedra that share corners with two equivalent O(10)Li3TiCo2 octahedra, corners with two equivalent O(9)Li3TiCo2 octahedra,  a cornercorner with one O(24)Li2TiCo2 square pyramid,  a cornercorner with one O(4)Li2TiCo2 square pyramid,  an edgeedge with one O(15)Li2Ti2Co square pyramid,  an edgeedge with one O(16)Li2Ti2Co square pyramid,  an edgeedge with one O(5)Li2Ti2Co square pyramid,  an edgeedge with one O(8)Li2Ti2Co square pyramid,  an edgeedge with one O(2)Li2TiCo2 square pyramid,  an edgeedge with one O(22)Li2TiCo2 square pyramid,  an edgeedge with one O(23)Li2TiCo2 square pyramid,  an edgeedge with one O(3)Li2TiCo2 square pyramid, and edges with two equivalent O(14)Li2Ti2Co square pyramids. The corner-sharing octahedral tilt angles range from 1-3°. In the thirteenth O site, O(13) is bonded to one Li(2), one Li(3), one Ti(2), one Ti(3), and one Co(1) atom to form OLi2Ti2Co square pyramids that share  a cornercorner with one O(5)Li2Ti2Co square pyramid,  a cornercorner with one O(6)Li2Ti2Co square pyramid,  a cornercorner with one O(1)Li2TiCo2 square pyramid,  a cornercorner with one O(24)Li2TiCo2 square pyramid, corners with two equivalent O(15)Li2Ti2Co square pyramids, corners with two equivalent O(16)Li2Ti2Co square pyramids,  an edgeedge with one O(10)Li3TiCo2 octahedra,  an edgeedge with one O(9)Li3TiCo2 octahedra, edges with two equivalent O(11)Li3TiCo2 octahedra,  an edgeedge with one O(7)Li2Ti2Co square pyramid,  an edgeedge with one O(21)Li2TiCo2 square pyramid, and  an edgeedge with one O(4)Li2TiCo2 square pyramid. In the fourteenth O site, O(14) is bonded to one Li(1), one Li(4), one Ti(1), one Ti(4), and one Co(4) atom to form OLi2Ti2Co square pyramids that share  a cornercorner with one O(5)Li2Ti2Co square pyramid,  a cornercorner with one O(6)Li2Ti2Co square pyramid,  a cornercorner with one O(2)Li2TiCo2 square pyramid,  a cornercorner with one O(23)Li2TiCo2 square pyramid, corners with two equivalent O(15)Li2Ti2Co square pyramids, corners with two equivalent O(16)Li2Ti2Co square pyramids,  an edgeedge with one O(10)Li3TiCo2 octahedra,  an edgeedge with one O(9)Li3TiCo2 octahedra, edges with two equivalent O(12)Li3TiCo2 octahedra,  an edgeedge with one O(8)Li2Ti2Co square pyramid,  an edgeedge with one O(22)Li2TiCo2 square pyramid, and  an edgeedge with one O(3)Li2TiCo2 square pyramid. In the fifteenth O site, O(15) is bonded to one Li(1), one Li(3), one Ti(1), one Ti(6), and one Co(1) atom to form OLi2Ti2Co square pyramids that share  a cornercorner with one O(7)Li2Ti2Co square pyramid,  a cornercorner with one O(8)Li2Ti2Co square pyramid,  a cornercorner with one O(21)Li2TiCo2 square pyramid,  a cornercorner with one O(3)Li2TiCo2 square pyramid, corners with two equivalent O(13)Li2Ti2Co square pyramids, corners with two equivalent O(14)Li2Ti2Co square pyramids,  an edgeedge with one O(11)Li3TiCo2 octahedra,  an edgeedge with one O(12)Li3TiCo2 octahedra, edges with two equivalent O(9)Li3TiCo2 octahedra,  an edgeedge with one O(6)Li2Ti2Co square pyramid,  an edgeedge with one O(2)Li2TiCo2 square pyramid, and  an edgeedge with one O(24)Li2TiCo2 square pyramid. In the sixteenth O site, O(16) is bonded to one Li(2), one Li(4), one Ti(2), one Ti(5), and one Co(4) atom to form OLi2Ti2Co square pyramids that share  a cornercorner with one O(7)Li2Ti2Co square pyramid,  a cornercorner with one O(8)Li2Ti2Co square pyramid,  a cornercorner with one O(22)Li2TiCo2 square pyramid,  a cornercorner with one O(4)Li2TiCo2 square pyramid, corners with two equivalent O(13)Li2Ti2Co square pyramids, corners with two equivalent O(14)Li2Ti2Co square pyramids,  an edgeedge with one O(11)Li3TiCo2 octahedra,  an edgeedge with one O(12)Li3TiCo2 octahedra, edges with two equivalent O(10)Li3TiCo2 octahedra,  an edgeedge with one O(5)Li2Ti2Co square pyramid,  an edgeedge with one O(1)Li2TiCo2 square pyramid, and  an edgeedge with one O(23)Li2TiCo2 square pyramid. In the seventeenth O site, O(17) is bonded in a rectangular see-saw-like geometry to one Li(8), one Ti(1), one Ti(4), and one Co(5) atom. In the eighteenth O site, O(18) is bonded in a rectangular see-saw-like geometry to one Li(7), one Ti(2), one Ti(3), and one Co(2) atom. In the nineteenth O site, O(19) is bonded in a rectangular see-saw-like geometry to one Li(6), one Ti(1), one Ti(6), and one Co(3) atom. In the twentieth O site, O(20) is bonded in a rectangular see-saw-like geometry to one Li(5), one Ti(2), one Ti(5), and one Co(6) atom. In the twenty-first O site, O(21) is bonded to one Li(5), one Li(7), one Ti(3), one Co(1), and one Co(5) atom to form OLi2TiCo2 square pyramids that share  a cornercorner with one O(10)Li3TiCo2 octahedra,  a cornercorner with one O(15)Li2Ti2Co square pyramid,  a cornercorner with one O(7)Li2Ti2Co square pyramid,  a cornercorner with one O(24)Li2TiCo2 square pyramid,  a cornercorner with one O(3)Li2TiCo2 square pyramid, corners with two equivalent O(4)Li2TiCo2 square pyramids,  an edgeedge with one O(11)Li3TiCo2 octahedra,  an edgeedge with one O(9)Li3TiCo2 octahedra,  an edgeedge with one O(13)Li2Ti2Co square pyramid,  an edgeedge with one O(5)Li2Ti2Co square pyramid,  an edgeedge with one O(7)Li2Ti2Co square pyramid,  an edgeedge with one O(1)Li2TiCo2 square pyramid, and  an edgeedge with one O(23)Li2TiCo2 square pyramid. The corner-sharing octahedral tilt angles are 9°. In the twenty-second O site, O(22) is bonded to one Li(6), one Li(8), one Ti(4), one Co(2), and one Co(4) atom to form distorted OLi2TiCo2 square pyramids that share  a cornercorner with one O(9)Li3TiCo2 octahedra,  a cornercorner with one O(16)Li2Ti2Co square pyramid,  a cornercorner with one O(8)Li2Ti2Co square pyramid,  a cornercorner with one O(23)Li2TiCo2 square pyramid,  a cornercorner with one O(4)Li2TiCo2 square pyramid, corners with two equivalent O(3)Li2TiCo2 square pyramids,  an edgeedge with one O(10)Li3TiCo2 octahedra,  an edgeedge with one O(12)Li3TiCo2 octahedra,  an edgeedge with one O(14)Li2Ti2Co square pyramid,  an edgeedge with one O(6)Li2Ti2Co square pyramid,  an edgeedge with one O(8)Li2Ti2Co square pyramid,  an edgeedge with one O(2)Li2TiCo2 square pyramid, and  an edgeedge with one O(24)Li2TiCo2 square pyramid. The corner-sharing octahedral tilt angles are 7°. In the twenty-third O site, O(23) is bonded to one Li(5), one Li(7), one Ti(5), one Co(3), and one Co(4) atom to form OLi2TiCo2 square pyramids that share  a cornercorner with one O(11)Li3TiCo2 octahedra,  a cornercorner with one O(14)Li2Ti2Co square pyramid,  a cornercorner with one O(5)Li2Ti2Co square pyramid,  a cornercorner with one O(2)Li2TiCo2 square pyramid,  a cornercorner with one O(22)Li2TiCo2 square pyramid, corners with two equivalent O(1)Li2TiCo2 square pyramids,  an edgeedge with one O(10)Li3TiCo2 octahedra,  an edgeedge with one O(12)Li3TiCo2 octahedra,  an edgeedge with one O(16)Li2Ti2Co square pyramid,  an edgeedge with one O(5)Li2Ti2Co square pyramid,  an edgeedge with one O(7)Li2Ti2Co square pyramid,  an edgeedge with one O(21)Li2TiCo2 square pyramid, and  an edgeedge with one O(4)Li2TiCo2 square pyramid. The corner-sharing octahedral tilt angles are 5°. In the twenty-fourth O site, O(24) is bonded to one Li(6), one Li(8), one Ti(6), one Co(1), and one Co(6) atom to form OLi2TiCo2 square pyramids that share  a cornercorner with one O(12)Li3TiCo2 octahedra,  a cornercorner with one O(13)Li2Ti2Co square pyramid,  a cornercorner with one O(6)Li2Ti2Co square pyramid,  a cornercorner with one O(1)Li2TiCo2 square pyramid,  a cornercorner with one O(21)Li2TiCo2 square pyramid, corners with two equivalent O(2)Li2TiCo2 square pyramids,  an edgeedge with one O(11)Li3TiCo2 octahedra,  an edgeedge with one O(9)Li3TiCo2 octahedra,  an edgeedge with one O(15)Li2Ti2Co square pyramid,  an edgeedge with one O(6)Li2Ti2Co square pyramid,  an edgeedge with one O(8)Li2Ti2Co square pyramid,  an edgeedge with one O(22)Li2TiCo2 square pyramid, and  an edgeedge with one O(3)Li2TiCo2 square pyramid. The corner-sharing octahedral tilt angles are 9°. is represented by the CIF file [CIF]
data_Li4Ti3(CoO4)3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.906
_cell_length_b   6.071
_cell_length_c   6.679
_cell_angle_alpha   76.944
_cell_angle_beta   77.875
_cell_angle_gamma   91.730
_symmetry_Int_Tables_number   1
_cell_volume   227.323
_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
  Co  Co0  1  0.668  0.165  0.333  1.0
  Co  Co1  1  0.333  0.831  0.665  1.0
  Co  Co2  1  0.999  0.502  0.003  1.0
  Li  Li3  1  0.164  0.671  0.332  1.0
  Li  Li4  1  0.666  0.666  0.331  1.0
  Li  Li5  1  0.463  0.988  0.000  1.0
  Li  Li6  1  0.866  0.345  0.667  1.0
  O  O7  1  0.258  0.709  0.992  1.0
  O  O8  1  0.073  0.622  0.676  1.0
  O  O9  1  0.738  0.729  0.989  1.0
  O  O10  1  0.592  0.598  0.677  1.0
  O  O11  1  0.396  0.932  0.343  1.0
  O  O12  1  0.937  0.400  0.327  1.0
  O  O13  1  0.912  0.925  0.366  1.0
  O  O14  1  0.420  0.405  0.306  1.0
  O  O15  1  0.078  0.078  0.646  1.0
  O  O16  1  0.255  0.255  0.024  1.0
  O  O17  1  0.577  0.041  0.675  1.0
  O  O18  1  0.754  0.289  0.994  1.0
  Ti  Ti19  1  0.175  0.175  0.333  1.0
  Ti  Ti20  1  0.836  0.854  0.675  1.0
  Ti  Ti21  1  0.504  0.485  0.979  1.0
[/CIF]
.