Li4TiCo5O12 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(15), one O(2), one O(21), one O(23), and one O(7) atom to form distorted LiO6 octahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra,  a cornercorner with one Co(5)O6 octahedra,  a cornercorner with one Co(9)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra, corners with two equivalent Co(6)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(10)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, and  a faceface with one Co(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 10-50°. In the second Li site, Li(2) is bonded to one O(1), one O(12), one O(16), one O(22), one O(24), and one O(8) atom to form distorted LiO6 octahedra that share  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(10)O6 octahedra,  a cornercorner with one Co(4)O6 octahedra,  a cornercorner with one Co(6)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, corners with two equivalent Co(5)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(9)O6 octahedra, edges with two equivalent Li(6)O6 octahedra, and  a faceface with one Co(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-47°. In the third Li site, Li(3) is bonded to one O(13), one O(17), one O(19), one O(3), one O(6), and one O(9) atom to form distorted LiO6 octahedra that share  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra,  a cornercorner with one Co(6)O6 octahedra,  a cornercorner with one Co(9)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, corners with two equivalent Co(5)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(10)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra, edges with two equivalent Li(7)O6 octahedra, and  a faceface with one Co(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-48°. In the fourth Li site, Li(4) is bonded to one O(10), one O(14), one O(18), one O(20), one O(4), and one O(5) atom to form distorted LiO6 octahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(10)O6 octahedra,  a cornercorner with one Co(4)O6 octahedra,  a cornercorner with one Co(5)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra, corners with two equivalent Co(6)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(9)O6 octahedra, edges with two equivalent Li(8)O6 octahedra, and  a faceface with one Co(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 10-50°. In the fifth Li site, Li(5) is bonded to one O(1), one O(11), one O(15), one O(21), one O(23), and one O(8) atom to form distorted LiO6 octahedra that share  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(10)O6 octahedra,  a cornercorner with one Co(4)O6 octahedra,  a cornercorner with one Co(7)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, corners with two equivalent Co(8)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(9)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, and  a faceface with one Co(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-50°. In the sixth Li site, Li(6) is bonded to one O(12), one O(16), one O(2), one O(22), one O(24), and one O(7) atom to form distorted LiO6 octahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra,  a cornercorner with one Co(8)O6 octahedra,  a cornercorner with one Co(9)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra, corners with two equivalent Co(7)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Co(10)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, and  a faceface with one Co(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-50°. In the seventh Li site, Li(7) is bonded to one O(13), one O(17), one O(19), one O(4), one O(5), and one O(9) atom to form distorted LiO6 octahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(10)O6 octahedra,  a cornercorner with one Co(4)O6 octahedra,  a cornercorner with one Co(8)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra, corners with two equivalent Co(7)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(9)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, and  a faceface with one Co(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-50°. In the eighth Li site, Li(8) is bonded to one O(10), one O(14), one O(18), one O(20), one O(3), and one O(6) atom to form distorted LiO6 octahedra that share  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra,  a cornercorner with one Co(7)O6 octahedra,  a cornercorner with one Co(9)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, corners with two equivalent Co(8)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Co(10)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, and  a faceface with one Co(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-50°. There are two inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(10), one O(11), one O(13), one O(16), one O(6), and one O(8) atom to form TiO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(6)O6 octahedra,  a cornercorner with one Li(7)O6 octahedra, corners with two equivalent Li(2)O6 octahedra, corners with two equivalent Li(3)O6 octahedra, corners with two equivalent Li(5)O6 octahedra, corners with two equivalent Li(8)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Co(8)O6 octahedra, edges with two equivalent Co(6)O6 octahedra, and edges with two equivalent Co(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 47-50°. In the second Ti site, Ti(2) is bonded to one O(12), one O(14), one O(15), one O(5), one O(7), and one O(9) atom to form TiO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra,  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(4)O6 octahedra, corners with two equivalent Li(6)O6 octahedra, corners with two equivalent Li(7)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra,  an edgeedge with one Co(7)O6 octahedra, edges with two equivalent Co(5)O6 octahedra, and edges with two equivalent Co(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 45-50°. There are ten inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(1), one O(17), one O(19), one O(21), one O(23), and one O(4) atom to form CoO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Li(7)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Co(10)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, and edges with two equivalent Co(9)O6 octahedra. The corner-sharing octahedral tilt angles are 10°. In the second Co site, Co(2) is bonded to one O(18), one O(2), one O(20), one O(22), one O(24), and one O(3) atom to form CoO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(6)O6 octahedra,  a cornercorner with one 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 Li(8)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(9)O6 octahedra, edges with two equivalent Co(10)O6 octahedra, and edges with two equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles are 10°. In the third Co site, Co(3) is bonded to one O(17), one O(19), one O(2), one O(21), one O(23), and one O(3) atom to form CoO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(6)O6 octahedra,  a cornercorner with one 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 Li(7)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(9)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and edges with two equivalent Co(10)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-10°. In the fourth Co site, Co(4) is bonded to one O(1), one O(18), one O(20), one O(22), one O(24), and one O(4) atom to form CoO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Li(7)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(10)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and edges with two equivalent Co(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-10°. In the fifth Co site, Co(5) is bonded to one O(12), one O(13), one O(16), one O(5), one O(7), and one O(9) atom to form CoO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra, corners with two equivalent Li(2)O6 octahedra, corners with two equivalent Li(3)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Co(8)O6 octahedra, edges with two equivalent Ti(2)O6 octahedra, edges with two equivalent Co(7)O6 octahedra,  a faceface with one Li(6)O6 octahedra, and  a faceface with one Li(7)O6 octahedra. The corner-sharing octahedral tilt angles are 47°. In the sixth Co site, Co(6) is bonded to one O(10), one O(11), one O(14), one O(15), one O(6), and one O(8) atom to form CoO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra, corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(4)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Co(7)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, edges with two equivalent Co(8)O6 octahedra,  a faceface with one Li(5)O6 octahedra, and  a faceface with one Li(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 44-46°. In the seventh Co site, Co(7) is bonded to one O(12), one O(13), one O(16), one O(6), one O(8), 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(6)O6 octahedra, corners with two equivalent Li(7)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, edges with two equivalent Co(5)O6 octahedra,  a faceface with one Li(2)O6 octahedra, and  a faceface with one Li(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 46-47°. In the eighth Co site, Co(8) is bonded to one O(10), one O(11), one O(14), one O(15), one O(5), and one O(7) 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(5)O6 octahedra, corners with two equivalent Li(8)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra, edges with two equivalent Ti(2)O6 octahedra, edges with two equivalent Co(6)O6 octahedra,  a faceface with one Li(1)O6 octahedra, and  a faceface with one Li(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 44-47°. In the ninth Co site, Co(9) is bonded to one O(1), one O(18), one O(19), one O(22), one O(23), and one O(4) atom to form CoO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(6)O6 octahedra,  a cornercorner with one 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(5)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and edges with two equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 10-11°. In the tenth Co site, Co(10) is bonded to one O(17), one O(2), one O(20), one O(21), one O(24), and one O(3) atom to form CoO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Li(7)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and edges with two equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 10-11°. There are twenty-four inequivalent O sites. In the first O site, O(1) is bonded to one Li(2), one Li(5), one Co(1), one Co(4), and one Co(9) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(17)Li2Co3 square pyramid,  a cornercorner with one O(20)Li2Co3 square pyramid,  a cornercorner with one O(22)Li2Co3 square pyramid,  a cornercorner with one O(23)Li2Co3 square pyramid,  a cornercorner with one O(4)Li2Co3 square pyramid,  a cornercorner with one O(11)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(12)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(15)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(16)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(18)Li2Co3 square pyramid,  an edgeedge with one O(19)Li2Co3 square pyramid,  an edgeedge with one O(21)Li2Co3 square pyramid,  an edgeedge with one O(22)Li2Co3 square pyramid,  an edgeedge with one O(23)Li2Co3 square pyramid,  an edgeedge with one O(24)Li2Co3 square pyramid,  an edgeedge with one O(4)Li2Co3 square pyramid, and  an edgeedge with one O(8)Li2TiCo2 trigonal bipyramid. In the second O site, O(2) is bonded to one Li(1), one Li(6), one Co(10), one Co(2), and one Co(3) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(18)Li2Co3 square pyramid,  a cornercorner with one O(19)Li2Co3 square pyramid,  a cornercorner with one O(21)Li2Co3 square pyramid,  a cornercorner with one O(24)Li2Co3 square pyramid,  a cornercorner with one O(3)Li2Co3 square pyramid,  a cornercorner with one O(11)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(12)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(15)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(16)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(17)Li2Co3 square pyramid,  an edgeedge with one O(20)Li2Co3 square pyramid,  an edgeedge with one O(21)Li2Co3 square pyramid,  an edgeedge with one O(22)Li2Co3 square pyramid,  an edgeedge with one O(23)Li2Co3 square pyramid,  an edgeedge with one O(24)Li2Co3 square pyramid,  an edgeedge with one O(3)Li2Co3 square pyramid, and  an edgeedge with one O(7)Li2TiCo2 trigonal bipyramid. In the third O site, O(3) is bonded to one Li(3), one Li(8), one Co(10), one Co(2), and one Co(3) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(17)Li2Co3 square pyramid,  a cornercorner with one O(2)Li2Co3 square pyramid,  a cornercorner with one O(20)Li2Co3 square pyramid,  a cornercorner with one O(22)Li2Co3 square pyramid,  a cornercorner with one O(23)Li2Co3 square pyramid,  a cornercorner with one O(10)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(13)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(14)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(9)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(17)Li2Co3 square pyramid,  an edgeedge with one O(18)Li2Co3 square pyramid,  an edgeedge with one O(19)Li2Co3 square pyramid,  an edgeedge with one O(2)Li2Co3 square pyramid,  an edgeedge with one O(20)Li2Co3 square pyramid,  an edgeedge with one O(21)Li2Co3 square pyramid,  an edgeedge with one O(24)Li2Co3 square pyramid, and  an edgeedge with one O(6)Li2TiCo2 trigonal bipyramid. In the fourth O site, O(4) is bonded to one Li(4), one Li(7), one Co(1), one Co(4), and one Co(9) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(1)Li2Co3 square pyramid,  a cornercorner with one O(18)Li2Co3 square pyramid,  a cornercorner with one O(19)Li2Co3 square pyramid,  a cornercorner with one O(21)Li2Co3 square pyramid,  a cornercorner with one O(24)Li2Co3 square pyramid,  a cornercorner with one O(10)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(13)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(14)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(9)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(1)Li2Co3 square pyramid,  an edgeedge with one O(17)Li2Co3 square pyramid,  an edgeedge with one O(18)Li2Co3 square pyramid,  an edgeedge with one O(19)Li2Co3 square pyramid,  an edgeedge with one O(20)Li2Co3 square pyramid,  an edgeedge with one O(22)Li2Co3 square pyramid,  an edgeedge with one O(23)Li2Co3 square pyramid, and  an edgeedge with one O(5)Li2TiCo2 trigonal bipyramid. In the fifth O site, O(5) is bonded to one Li(4), one Li(7), one Ti(2), one Co(5), and one Co(8) atom to form distorted OLi2TiCo2 trigonal bipyramids that share  a cornercorner with one O(17)Li2Co3 square pyramid,  a cornercorner with one O(18)Li2Co3 square pyramid,  a cornercorner with one O(19)Li2Co3 square pyramid,  a cornercorner with one O(20)Li2Co3 square pyramid,  a cornercorner with one O(11)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(14)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(16)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(7)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(9)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(4)Li2Co3 square pyramid,  an edgeedge with one O(10)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(12)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(13)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(14)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(15)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(7)Li2TiCo2 trigonal bipyramid, and  an edgeedge with one O(9)Li2TiCo2 trigonal bipyramid. In the sixth O site, O(6) is bonded to one Li(3), one Li(8), one Ti(1), one Co(6), and one Co(7) atom to form distorted OLi2TiCo2 trigonal bipyramids that share  a cornercorner with one O(17)Li2Co3 square pyramid,  a cornercorner with one O(18)Li2Co3 square pyramid,  a cornercorner with one O(19)Li2Co3 square pyramid,  a cornercorner with one O(20)Li2Co3 square pyramid,  a cornercorner with one O(10)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(12)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(13)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(15)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(8)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(3)Li2Co3 square pyramid,  an edgeedge with one O(10)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(11)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(13)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(14)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(16)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(8)Li2TiCo2 trigonal bipyramid, and  an edgeedge with one O(9)Li2TiCo2 trigonal bipyramid. In the seventh O site, O(7) is bonded to one Li(1), one Li(6), one Ti(2), one Co(5), and one Co(8) atom to form distorted OLi2TiCo2 trigonal bipyramids that share  a cornercorner with one O(21)Li2Co3 square pyramid,  a cornercorner with one O(22)Li2Co3 square pyramid,  a cornercorner with one O(23)Li2Co3 square pyramid,  a cornercorner with one O(24)Li2Co3 square pyramid,  a cornercorner with one O(10)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(12)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(13)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(15)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(5)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(2)Li2Co3 square pyramid,  an edgeedge with one O(11)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(12)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(14)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(15)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(16)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(5)Li2TiCo2 trigonal bipyramid, and  an edgeedge with one O(9)Li2TiCo2 trigonal bipyramid. In the eighth O site, O(8) is bonded to one Li(2), one Li(5), one Ti(1), one Co(6), and one Co(7) atom to form distorted OLi2TiCo2 trigonal bipyramids that share  a cornercorner with one O(21)Li2Co3 square pyramid,  a cornercorner with one O(22)Li2Co3 square pyramid,  a cornercorner with one O(23)Li2Co3 square pyramid,  a cornercorner with one O(24)Li2Co3 square pyramid,  a cornercorner with one O(11)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(14)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(16)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(6)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(9)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(1)Li2Co3 square pyramid,  an edgeedge with one O(10)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(11)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(12)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(13)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(15)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(16)Li2TiCo2 trigonal bipyramid, and  an edgeedge with one O(6)Li2TiCo2 trigonal bipyramid. In the ninth O site, O(9) is bonded to one Li(3), one Li(7), one Ti(2), one Co(5), and one Co(7) atom to form distorted OLi2TiCo2 trigonal bipyramids that share  a cornercorner with one O(3)Li2Co3 square pyramid,  a cornercorner with one O(4)Li2Co3 square pyramid, corners with two equivalent O(19)Li2Co3 square pyramids,  a cornercorner with one O(12)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(14)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(15)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(5)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(8)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(17)Li2Co3 square pyramid,  an edgeedge with one O(12)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(16)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(5)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(6)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(7)Li2TiCo2 trigonal bipyramid, and edges with two equivalent O(13)Li2TiCo2 trigonal bipyramids. In the tenth O site, O(10) is bonded to one Li(4), one Li(8), one Ti(1), one Co(6), and one Co(8) atom to form distorted OLi2TiCo2 trigonal bipyramids that share  a cornercorner with one O(3)Li2Co3 square pyramid,  a cornercorner with one O(4)Li2Co3 square pyramid, corners with two equivalent O(20)Li2Co3 square pyramids,  a cornercorner with one O(11)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(13)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(16)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(6)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(7)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(18)Li2Co3 square pyramid,  an edgeedge with one O(11)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(15)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(5)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(6)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(8)Li2TiCo2 trigonal bipyramid, and edges with two equivalent O(14)Li2TiCo2 trigonal bipyramids. In the eleventh O site, O(11) is bonded to one Li(1), one Li(5), one Ti(1), one Co(6), and one Co(8) atom to form distorted OLi2TiCo2 trigonal bipyramids that share  a cornercorner with one O(1)Li2Co3 square pyramid,  a cornercorner with one O(2)Li2Co3 square pyramid, corners with two equivalent O(23)Li2Co3 square pyramids,  a cornercorner with one O(10)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(13)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(16)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(5)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(8)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(21)Li2Co3 square pyramid,  an edgeedge with one O(10)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(14)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(6)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(7)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(8)Li2TiCo2 trigonal bipyramid, and edges with two equivalent O(15)Li2TiCo2 trigonal bipyramids. In the twelfth O site, O(12) is bonded to one Li(2), one Li(6), one Ti(2), one Co(5), and one Co(7) atom to form distorted OLi2TiCo2 trigonal bipyramids that share  a cornercorner with one O(1)Li2Co3 square pyramid,  a cornercorner with one O(2)Li2Co3 square pyramid, corners with two equivalent O(24)Li2Co3 square pyramids,  a cornercorner with one O(14)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(15)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(6)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(7)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(9)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(22)Li2Co3 square pyramid,  an edgeedge with one O(13)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(5)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(7)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(8)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(9)Li2TiCo2 trigonal bipyramid, and edges with two equivalent O(16)Li2TiCo2 trigonal bipyramids. In the thirteenth O site, O(13) is bonded to one Li(3), one Li(7), one Ti(1), one Co(5), and one Co(7) atom to form distorted OLi2TiCo2 trigonal bipyramids that share  a cornercorner with one O(3)Li2Co3 square pyramid,  a cornercorner with one O(4)Li2Co3 square pyramid, corners with two equivalent O(17)Li2Co3 square pyramids,  a cornercorner with one O(10)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(11)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(16)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(6)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(7)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(19)Li2Co3 square pyramid,  an edgeedge with one O(12)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(16)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(5)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(6)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(8)Li2TiCo2 trigonal bipyramid, and edges with two equivalent O(9)Li2TiCo2 trigonal bipyramids. In the fourteenth O site, O(14) is bonded to one Li(4), one Li(8), one Ti(2), one Co(6), and one Co(8) atom to form distorted OLi2TiCo2 trigonal bipyramids that share  a cornercorner with one O(3)Li2Co3 square pyramid,  a cornercorner with one O(4)Li2Co3 square pyramid, corners with two equivalent O(18)Li2Co3 square pyramids,  a cornercorner with one O(12)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(15)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(5)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(8)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(9)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(20)Li2Co3 square pyramid,  an edgeedge with one O(11)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(15)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(5)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(6)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(7)Li2TiCo2 trigonal bipyramid, and edges with two equivalent O(10)Li2TiCo2 trigonal bipyramids. In the fifteenth O site, O(15) is bonded to one Li(1), one Li(5), one Ti(2), one Co(6), and one Co(8) atom to form distorted OLi2TiCo2 trigonal bipyramids that share  a cornercorner with one O(1)Li2Co3 square pyramid,  a cornercorner with one O(2)Li2Co3 square pyramid, corners with two equivalent O(21)Li2Co3 square pyramids,  a cornercorner with one O(12)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(14)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(6)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(7)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(9)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(23)Li2Co3 square pyramid,  an edgeedge with one O(10)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(14)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(5)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(7)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(8)Li2TiCo2 trigonal bipyramid, and edges with two equivalent O(11)Li2TiCo2 trigonal bipyramids. In the sixteenth O site, O(16) is bonded to one Li(2), one Li(6), one Ti(1), one Co(5), and one Co(7) atom to form distorted OLi2TiCo2 trigonal bipyramids that share  a cornercorner with one O(1)Li2Co3 square pyramid,  a cornercorner with one O(2)Li2Co3 square pyramid, corners with two equivalent O(22)Li2Co3 square pyramids,  a cornercorner with one O(10)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(11)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(13)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(5)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(8)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(24)Li2Co3 square pyramid,  an edgeedge with one O(13)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(6)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(7)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(8)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(9)Li2TiCo2 trigonal bipyramid, and edges with two equivalent O(12)Li2TiCo2 trigonal bipyramids. In the seventeenth O site, O(17) is bonded to one Li(3), one Li(7), one Co(1), one Co(10), and one Co(3) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(1)Li2Co3 square pyramid,  a cornercorner with one O(20)Li2Co3 square pyramid,  a cornercorner with one O(21)Li2Co3 square pyramid,  a cornercorner with one O(24)Li2Co3 square pyramid,  a cornercorner with one O(3)Li2Co3 square pyramid,  a cornercorner with one O(5)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(6)Li2TiCo2 trigonal bipyramid, corners with two equivalent O(13)Li2TiCo2 trigonal bipyramids,  an edgeedge with one O(2)Li2Co3 square pyramid,  an edgeedge with one O(21)Li2Co3 square pyramid,  an edgeedge with one O(23)Li2Co3 square pyramid,  an edgeedge with one O(3)Li2Co3 square pyramid,  an edgeedge with one O(4)Li2Co3 square pyramid, edges with two equivalent O(19)Li2Co3 square pyramids, and  an edgeedge with one O(9)Li2TiCo2 trigonal bipyramid. In the eighteenth O site, O(18) is bonded to one Li(4), one Li(8), one Co(2), one Co(4), and one Co(9) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(19)Li2Co3 square pyramid,  a cornercorner with one O(2)Li2Co3 square pyramid,  a cornercorner with one O(22)Li2Co3 square pyramid,  a cornercorner with one O(23)Li2Co3 square pyramid,  a cornercorner with one O(4)Li2Co3 square pyramid,  a cornercorner with one O(5)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(6)Li2TiCo2 trigonal bipyramid, corners with two equivalent O(14)Li2TiCo2 trigonal bipyramids,  an edgeedge with one O(1)Li2Co3 square pyramid,  an edgeedge with one O(22)Li2Co3 square pyramid,  an edgeedge with one O(24)Li2Co3 square pyramid,  an edgeedge with one O(3)Li2Co3 square pyramid,  an edgeedge with one O(4)Li2Co3 square pyramid, edges with two equivalent O(20)Li2Co3 square pyramids, and  an edgeedge with one O(10)Li2TiCo2 trigonal bipyramid. In the nineteenth O site, O(19) is bonded to one Li(3), one Li(7), one Co(1), one Co(3), and one Co(9) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(18)Li2Co3 square pyramid,  a cornercorner with one O(2)Li2Co3 square pyramid,  a cornercorner with one O(22)Li2Co3 square pyramid,  a cornercorner with one O(23)Li2Co3 square pyramid,  a cornercorner with one O(4)Li2Co3 square pyramid,  a cornercorner with one O(5)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(6)Li2TiCo2 trigonal bipyramid, corners with two equivalent O(9)Li2TiCo2 trigonal bipyramids,  an edgeedge with one O(1)Li2Co3 square pyramid,  an edgeedge with one O(21)Li2Co3 square pyramid,  an edgeedge with one O(23)Li2Co3 square pyramid,  an edgeedge with one O(3)Li2Co3 square pyramid,  an edgeedge with one O(4)Li2Co3 square pyramid, edges with two equivalent O(17)Li2Co3 square pyramids, and  an edgeedge with one O(13)Li2TiCo2 trigonal bipyramid. In the twentieth O site, O(20) is bonded to one Li(4), one Li(8), one Co(10), one Co(2), and one Co(4) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(1)Li2Co3 square pyramid,  a cornercorner with one O(17)Li2Co3 square pyramid,  a cornercorner with one O(21)Li2Co3 square pyramid,  a cornercorner with one O(24)Li2Co3 square pyramid,  a cornercorner with one O(3)Li2Co3 square pyramid,  a cornercorner with one O(5)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(6)Li2TiCo2 trigonal bipyramid, corners with two equivalent O(10)Li2TiCo2 trigonal bipyramids,  an edgeedge with one O(2)Li2Co3 square pyramid,  an edgeedge with one O(22)Li2Co3 square pyramid,  an edgeedge with one O(24)Li2Co3 square pyramid,  an edgeedge with one O(3)Li2Co3 square pyramid,  an edgeedge with one O(4)Li2Co3 square pyramid, edges with two equivalent O(18)Li2Co3 square pyramids, and  an edgeedge with one O(14)Li2TiCo2 trigonal bipyramid. In the twenty-first O site, O(21) is bonded to one Li(1), one Li(5), one Co(1), one Co(10), and one Co(3) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(17)Li2Co3 square pyramid,  a cornercorner with one O(2)Li2Co3 square pyramid,  a cornercorner with one O(20)Li2Co3 square pyramid,  a cornercorner with one O(24)Li2Co3 square pyramid,  a cornercorner with one O(4)Li2Co3 square pyramid,  a cornercorner with one O(7)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(8)Li2TiCo2 trigonal bipyramid, corners with two equivalent O(15)Li2TiCo2 trigonal bipyramids,  an edgeedge with one O(1)Li2Co3 square pyramid,  an edgeedge with one O(17)Li2Co3 square pyramid,  an edgeedge with one O(19)Li2Co3 square pyramid,  an edgeedge with one O(2)Li2Co3 square pyramid,  an edgeedge with one O(3)Li2Co3 square pyramid, edges with two equivalent O(23)Li2Co3 square pyramids, and  an edgeedge with one O(11)Li2TiCo2 trigonal bipyramid. In the twenty-second O site, O(22) is bonded to one Li(2), one Li(6), one Co(2), one Co(4), and one Co(9) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(1)Li2Co3 square pyramid,  a cornercorner with one O(18)Li2Co3 square pyramid,  a cornercorner with one O(19)Li2Co3 square pyramid,  a cornercorner with one O(23)Li2Co3 square pyramid,  a cornercorner with one O(3)Li2Co3 square pyramid,  a cornercorner with one O(7)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(8)Li2TiCo2 trigonal bipyramid, corners with two equivalent O(16)Li2TiCo2 trigonal bipyramids,  an edgeedge with one O(1)Li2Co3 square pyramid,  an edgeedge with one O(18)Li2Co3 square pyramid,  an edgeedge with one O(2)Li2Co3 square pyramid,  an edgeedge with one O(20)Li2Co3 square pyramid,  an edgeedge with one O(4)Li2Co3 square pyramid, edges with two equivalent O(24)Li2Co3 square pyramids, and  an edgeedge with one O(12)Li2TiCo2 trigonal bipyramid. In the twenty-third O site, O(23) is bonded to one Li(1), one Li(5), one Co(1), one Co(3), and one Co(9) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(1)Li2Co3 square pyramid,  a cornercorner with one O(18)Li2Co3 square pyramid,  a cornercorner with one O(19)Li2Co3 square pyramid,  a cornercorner with one O(22)Li2Co3 square pyramid,  a cornercorner with one O(3)Li2Co3 square pyramid,  a cornercorner with one O(7)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(8)Li2TiCo2 trigonal bipyramid, corners with two equivalent O(11)Li2TiCo2 trigonal bipyramids,  an edgeedge with one O(1)Li2Co3 square pyramid,  an edgeedge with one O(17)Li2Co3 square pyramid,  an edgeedge with one O(19)Li2Co3 square pyramid,  an edgeedge with one O(2)Li2Co3 square pyramid,  an edgeedge with one O(4)Li2Co3 square pyramid, edges with two equivalent O(21)Li2Co3 square pyramids, and  an edgeedge with one O(15)Li2TiCo2 trigonal bipyramid. In the twenty-fourth O site, O(24) is bonded to one Li(2), one Li(6), one Co(10), one Co(2), and one Co(4) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(17)Li2Co3 square pyramid,  a cornercorner with one O(2)Li2Co3 square pyramid,  a cornercorner with one O(20)Li2Co3 square pyramid,  a cornercorner with one O(21)Li2Co3 square pyramid,  a cornercorner with one O(4)Li2Co3 square pyramid,  a cornercorner with one O(7)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(8)Li2TiCo2 trigonal bipyramid, corners with two equivalent O(12)Li2TiCo2 trigonal bipyramids,  an edgeedge with one O(1)Li2Co3 square pyramid,  an edgeedge with one O(18)Li2Co3 square pyramid,  an edgeedge with one O(2)Li2Co3 square pyramid,  an edgeedge with one O(20)Li2Co3 square pyramid,  an edgeedge with one O(3)Li2Co3 square pyramid, edges with two equivalent O(22)Li2Co3 square pyramids, and  an edgeedge with one O(16)Li2TiCo2 trigonal bipyramid.
Li4TiCo5O12 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(15), one O(2), one O(21), one O(23), and one O(7) atom to form distorted LiO6 octahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra,  a cornercorner with one Co(5)O6 octahedra,  a cornercorner with one Co(9)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra, corners with two equivalent Co(6)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(10)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, and  a faceface with one Co(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 10-50°. The Li(1)-O(11) bond length is 2.20 Å. The Li(1)-O(15) bond length is 2.17 Å. The Li(1)-O(2) bond length is 2.13 Å. The Li(1)-O(21) bond length is 2.18 Å. The Li(1)-O(23) bond length is 2.15 Å. The Li(1)-O(7) bond length is 2.14 Å. In the second Li site, Li(2) is bonded to one O(1), one O(12), one O(16), one O(22), one O(24), and one O(8) atom to form distorted LiO6 octahedra that share  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(10)O6 octahedra,  a cornercorner with one Co(4)O6 octahedra,  a cornercorner with one Co(6)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, corners with two equivalent Co(5)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(9)O6 octahedra, edges with two equivalent Li(6)O6 octahedra, and  a faceface with one Co(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-47°. The Li(2)-O(1) bond length is 2.14 Å. The Li(2)-O(12) bond length is 2.14 Å. The Li(2)-O(16) bond length is 2.14 Å. The Li(2)-O(22) bond length is 2.19 Å. The Li(2)-O(24) bond length is 2.14 Å. The Li(2)-O(8) bond length is 2.20 Å. In the third Li site, Li(3) is bonded to one O(13), one O(17), one O(19), one O(3), one O(6), and one O(9) atom to form distorted LiO6 octahedra that share  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra,  a cornercorner with one Co(6)O6 octahedra,  a cornercorner with one Co(9)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, corners with two equivalent Co(5)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(10)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra, edges with two equivalent Li(7)O6 octahedra, and  a faceface with one Co(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-48°. The Li(3)-O(13) bond length is 2.14 Å. The Li(3)-O(17) bond length is 2.19 Å. The Li(3)-O(19) bond length is 2.14 Å. The Li(3)-O(3) bond length is 2.13 Å. The Li(3)-O(6) bond length is 2.19 Å. The Li(3)-O(9) bond length is 2.15 Å. In the fourth Li site, Li(4) is bonded to one O(10), one O(14), one O(18), one O(20), one O(4), and one O(5) atom to form distorted LiO6 octahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(10)O6 octahedra,  a cornercorner with one Co(4)O6 octahedra,  a cornercorner with one Co(5)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra, corners with two equivalent Co(6)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(9)O6 octahedra, edges with two equivalent Li(8)O6 octahedra, and  a faceface with one Co(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 10-50°. The Li(4)-O(10) bond length is 2.18 Å. The Li(4)-O(14) bond length is 2.16 Å. The Li(4)-O(18) bond length is 2.18 Å. The Li(4)-O(20) bond length is 2.15 Å. The Li(4)-O(4) bond length is 2.14 Å. The Li(4)-O(5) bond length is 2.15 Å. In the fifth Li site, Li(5) is bonded to one O(1), one O(11), one O(15), one O(21), one O(23), and one O(8) atom to form distorted LiO6 octahedra that share  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(10)O6 octahedra,  a cornercorner with one Co(4)O6 octahedra,  a cornercorner with one Co(7)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, corners with two equivalent Co(8)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(9)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, and  a faceface with one Co(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-50°. The Li(5)-O(1) bond length is 2.16 Å. The Li(5)-O(11) bond length is 2.15 Å. The Li(5)-O(15) bond length is 2.19 Å. The Li(5)-O(21) bond length is 2.14 Å. The Li(5)-O(23) bond length is 2.17 Å. The Li(5)-O(8) bond length is 2.19 Å. In the sixth Li site, Li(6) is bonded to one O(12), one O(16), one O(2), one O(22), one O(24), and one O(7) atom to form distorted LiO6 octahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra,  a cornercorner with one Co(8)O6 octahedra,  a cornercorner with one Co(9)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra, corners with two equivalent Co(7)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Co(10)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, and  a faceface with one Co(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-50°. The Li(6)-O(12) bond length is 2.21 Å. The Li(6)-O(16) bond length is 2.26 Å. The Li(6)-O(2) bond length is 2.12 Å. The Li(6)-O(22) bond length is 2.12 Å. The Li(6)-O(24) bond length is 2.15 Å. The Li(6)-O(7) bond length is 2.24 Å. In the seventh Li site, Li(7) is bonded to one O(13), one O(17), one O(19), one O(4), one O(5), and one O(9) atom to form distorted LiO6 octahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(10)O6 octahedra,  a cornercorner with one Co(4)O6 octahedra,  a cornercorner with one Co(8)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra, corners with two equivalent Co(7)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(9)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, and  a faceface with one Co(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-50°. The Li(7)-O(13) bond length is 2.25 Å. The Li(7)-O(17) bond length is 2.12 Å. The Li(7)-O(19) bond length is 2.16 Å. The Li(7)-O(4) bond length is 2.13 Å. The Li(7)-O(5) bond length is 2.25 Å. The Li(7)-O(9) bond length is 2.20 Å. In the eighth Li site, Li(8) is bonded to one O(10), one O(14), one O(18), one O(20), one O(3), and one O(6) atom to form distorted LiO6 octahedra that share  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra,  a cornercorner with one Co(7)O6 octahedra,  a cornercorner with one Co(9)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, corners with two equivalent Co(8)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Co(10)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, and  a faceface with one Co(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-50°. The Li(8)-O(10) bond length is 2.15 Å. The Li(8)-O(14) bond length is 2.21 Å. The Li(8)-O(18) bond length is 2.14 Å. The Li(8)-O(20) bond length is 2.16 Å. The Li(8)-O(3) bond length is 2.15 Å. The Li(8)-O(6) bond length is 2.19 Å. There are two inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(10), one O(11), one O(13), one O(16), one O(6), and one O(8) atom to form TiO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(6)O6 octahedra,  a cornercorner with one Li(7)O6 octahedra, corners with two equivalent Li(2)O6 octahedra, corners with two equivalent Li(3)O6 octahedra, corners with two equivalent Li(5)O6 octahedra, corners with two equivalent Li(8)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Co(8)O6 octahedra, edges with two equivalent Co(6)O6 octahedra, and edges with two equivalent Co(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 47-50°. The Ti(1)-O(10) bond length is 1.96 Å. The Ti(1)-O(11) bond length is 1.97 Å. The Ti(1)-O(13) bond length is 2.00 Å. The Ti(1)-O(16) bond length is 2.00 Å. The Ti(1)-O(6) bond length is 1.99 Å. The Ti(1)-O(8) bond length is 1.99 Å. In the second Ti site, Ti(2) is bonded to one O(12), one O(14), one O(15), one O(5), one O(7), and one O(9) atom to form TiO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra,  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(4)O6 octahedra, corners with two equivalent Li(6)O6 octahedra, corners with two equivalent Li(7)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra,  an edgeedge with one Co(7)O6 octahedra, edges with two equivalent Co(5)O6 octahedra, and edges with two equivalent Co(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 45-50°. The Ti(2)-O(12) bond length is 1.98 Å. The Ti(2)-O(14) bond length is 1.99 Å. The Ti(2)-O(15) bond length is 1.99 Å. The Ti(2)-O(5) bond length is 1.99 Å. The Ti(2)-O(7) bond length is 1.99 Å. The Ti(2)-O(9) bond length is 1.98 Å. There are ten inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(1), one O(17), one O(19), one O(21), one O(23), and one O(4) atom to form CoO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Li(7)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Co(10)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, and edges with two equivalent Co(9)O6 octahedra. The corner-sharing octahedral tilt angles are 10°. The Co(1)-O(1) bond length is 1.94 Å. The Co(1)-O(17) bond length is 1.91 Å. The Co(1)-O(19) bond length is 1.94 Å. The Co(1)-O(21) bond length is 1.91 Å. The Co(1)-O(23) bond length is 1.94 Å. The Co(1)-O(4) bond length is 1.94 Å. In the second Co site, Co(2) is bonded to one O(18), one O(2), one O(20), one O(22), one O(24), and one O(3) atom to form CoO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(6)O6 octahedra,  a cornercorner with one 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 Li(8)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(9)O6 octahedra, edges with two equivalent Co(10)O6 octahedra, and edges with two equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles are 10°. The Co(2)-O(18) bond length is 1.91 Å. The Co(2)-O(2) bond length is 1.94 Å. The Co(2)-O(20) bond length is 1.94 Å. The Co(2)-O(22) bond length is 1.91 Å. The Co(2)-O(24) bond length is 1.94 Å. The Co(2)-O(3) bond length is 1.94 Å. In the third Co site, Co(3) is bonded to one O(17), one O(19), one O(2), one O(21), one O(23), and one O(3) atom to form CoO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(6)O6 octahedra,  a cornercorner with one 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 Li(7)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(9)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and edges with two equivalent Co(10)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-10°. The Co(3)-O(17) bond length is 1.92 Å. The Co(3)-O(19) bond length is 1.88 Å. The Co(3)-O(2) bond length is 1.91 Å. The Co(3)-O(21) bond length is 1.92 Å. The Co(3)-O(23) bond length is 1.89 Å. The Co(3)-O(3) bond length is 1.91 Å. In the fourth Co site, Co(4) is bonded to one O(1), one O(18), one O(20), one O(22), one O(24), and one O(4) atom to form CoO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Li(7)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(10)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and edges with two equivalent Co(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-10°. The Co(4)-O(1) bond length is 1.91 Å. The Co(4)-O(18) bond length is 1.92 Å. The Co(4)-O(20) bond length is 1.89 Å. The Co(4)-O(22) bond length is 1.92 Å. The Co(4)-O(24) bond length is 1.89 Å. The Co(4)-O(4) bond length is 1.91 Å. In the fifth Co site, Co(5) is bonded to one O(12), one O(13), one O(16), one O(5), one O(7), and one O(9) atom to form CoO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra, corners with two equivalent Li(2)O6 octahedra, corners with two equivalent Li(3)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Co(8)O6 octahedra, edges with two equivalent Ti(2)O6 octahedra, edges with two equivalent Co(7)O6 octahedra,  a faceface with one Li(6)O6 octahedra, and  a faceface with one Li(7)O6 octahedra. The corner-sharing octahedral tilt angles are 47°. The Co(5)-O(12) bond length is 2.02 Å. The Co(5)-O(13) bond length is 1.97 Å. The Co(5)-O(16) bond length is 1.96 Å. The Co(5)-O(5) bond length is 1.99 Å. The Co(5)-O(7) bond length is 2.00 Å. The Co(5)-O(9) bond length is 2.02 Å. In the sixth Co site, Co(6) is bonded to one O(10), one O(11), one O(14), one O(15), one O(6), and one O(8) atom to form CoO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra, corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(4)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Co(7)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, edges with two equivalent Co(8)O6 octahedra,  a faceface with one Li(5)O6 octahedra, and  a faceface with one Li(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 44-46°. The Co(6)-O(10) bond length is 1.94 Å. The Co(6)-O(11) bond length is 1.93 Å. The Co(6)-O(14) bond length is 1.93 Å. The Co(6)-O(15) bond length is 1.93 Å. The Co(6)-O(6) bond length is 1.93 Å. The Co(6)-O(8) bond length is 1.93 Å. In the seventh Co site, Co(7) is bonded to one O(12), one O(13), one O(16), one O(6), one O(8), 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(6)O6 octahedra, corners with two equivalent Li(7)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, edges with two equivalent Co(5)O6 octahedra,  a faceface with one Li(2)O6 octahedra, and  a faceface with one Li(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 46-47°. The Co(7)-O(12) bond length is 1.94 Å. The Co(7)-O(13) bond length is 1.93 Å. The Co(7)-O(16) bond length is 1.93 Å. The Co(7)-O(6) bond length is 1.93 Å. The Co(7)-O(8) bond length is 1.93 Å. The Co(7)-O(9) bond length is 1.94 Å. In the eighth Co site, Co(8) is bonded to one O(10), one O(11), one O(14), one O(15), one O(5), and one O(7) 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(5)O6 octahedra, corners with two equivalent Li(8)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra, edges with two equivalent Ti(2)O6 octahedra, edges with two equivalent Co(6)O6 octahedra,  a faceface with one Li(1)O6 octahedra, and  a faceface with one Li(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 44-47°. The Co(8)-O(10) bond length is 1.93 Å. The Co(8)-O(11) bond length is 1.93 Å. The Co(8)-O(14) bond length is 1.93 Å. The Co(8)-O(15) bond length is 1.93 Å. The Co(8)-O(5) bond length is 1.92 Å. The Co(8)-O(7) bond length is 1.92 Å. In the ninth Co site, Co(9) is bonded to one O(1), one O(18), one O(19), one O(22), one O(23), and one O(4) atom to form CoO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(6)O6 octahedra,  a cornercorner with one 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(5)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and edges with two equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 10-11°. The Co(9)-O(1) bond length is 1.90 Å. The Co(9)-O(18) bond length is 1.94 Å. The Co(9)-O(19) bond length is 1.94 Å. The Co(9)-O(22) bond length is 1.94 Å. The Co(9)-O(23) bond length is 1.94 Å. The Co(9)-O(4) bond length is 1.91 Å. In the tenth Co site, Co(10) is bonded to one O(17), one O(2), one O(20), one O(21), one O(24), and one O(3) atom to form CoO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Li(7)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and edges with two equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 10-11°. The Co(10)-O(17) bond length is 1.94 Å. The Co(10)-O(2) bond length is 1.91 Å. The Co(10)-O(20) bond length is 1.94 Å. The Co(10)-O(21) bond length is 1.94 Å. The Co(10)-O(24) bond length is 1.94 Å. The Co(10)-O(3) bond length is 1.90 Å. There are twenty-four inequivalent O sites. In the first O site, O(1) is bonded to one Li(2), one Li(5), one Co(1), one Co(4), and one Co(9) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(17)Li2Co3 square pyramid,  a cornercorner with one O(20)Li2Co3 square pyramid,  a cornercorner with one O(22)Li2Co3 square pyramid,  a cornercorner with one O(23)Li2Co3 square pyramid,  a cornercorner with one O(4)Li2Co3 square pyramid,  a cornercorner with one O(11)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(12)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(15)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(16)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(18)Li2Co3 square pyramid,  an edgeedge with one O(19)Li2Co3 square pyramid,  an edgeedge with one O(21)Li2Co3 square pyramid,  an edgeedge with one O(22)Li2Co3 square pyramid,  an edgeedge with one O(23)Li2Co3 square pyramid,  an edgeedge with one O(24)Li2Co3 square pyramid,  an edgeedge with one O(4)Li2Co3 square pyramid, and  an edgeedge with one O(8)Li2TiCo2 trigonal bipyramid. In the second O site, O(2) is bonded to one Li(1), one Li(6), one Co(10), one Co(2), and one Co(3) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(18)Li2Co3 square pyramid,  a cornercorner with one O(19)Li2Co3 square pyramid,  a cornercorner with one O(21)Li2Co3 square pyramid,  a cornercorner with one O(24)Li2Co3 square pyramid,  a cornercorner with one O(3)Li2Co3 square pyramid,  a cornercorner with one O(11)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(12)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(15)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(16)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(17)Li2Co3 square pyramid,  an edgeedge with one O(20)Li2Co3 square pyramid,  an edgeedge with one O(21)Li2Co3 square pyramid,  an edgeedge with one O(22)Li2Co3 square pyramid,  an edgeedge with one O(23)Li2Co3 square pyramid,  an edgeedge with one O(24)Li2Co3 square pyramid,  an edgeedge with one O(3)Li2Co3 square pyramid, and  an edgeedge with one O(7)Li2TiCo2 trigonal bipyramid. In the third O site, O(3) is bonded to one Li(3), one Li(8), one Co(10), one Co(2), and one Co(3) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(17)Li2Co3 square pyramid,  a cornercorner with one O(2)Li2Co3 square pyramid,  a cornercorner with one O(20)Li2Co3 square pyramid,  a cornercorner with one O(22)Li2Co3 square pyramid,  a cornercorner with one O(23)Li2Co3 square pyramid,  a cornercorner with one O(10)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(13)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(14)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(9)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(17)Li2Co3 square pyramid,  an edgeedge with one O(18)Li2Co3 square pyramid,  an edgeedge with one O(19)Li2Co3 square pyramid,  an edgeedge with one O(2)Li2Co3 square pyramid,  an edgeedge with one O(20)Li2Co3 square pyramid,  an edgeedge with one O(21)Li2Co3 square pyramid,  an edgeedge with one O(24)Li2Co3 square pyramid, and  an edgeedge with one O(6)Li2TiCo2 trigonal bipyramid. In the fourth O site, O(4) is bonded to one Li(4), one Li(7), one Co(1), one Co(4), and one Co(9) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(1)Li2Co3 square pyramid,  a cornercorner with one O(18)Li2Co3 square pyramid,  a cornercorner with one O(19)Li2Co3 square pyramid,  a cornercorner with one O(21)Li2Co3 square pyramid,  a cornercorner with one O(24)Li2Co3 square pyramid,  a cornercorner with one O(10)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(13)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(14)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(9)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(1)Li2Co3 square pyramid,  an edgeedge with one O(17)Li2Co3 square pyramid,  an edgeedge with one O(18)Li2Co3 square pyramid,  an edgeedge with one O(19)Li2Co3 square pyramid,  an edgeedge with one O(20)Li2Co3 square pyramid,  an edgeedge with one O(22)Li2Co3 square pyramid,  an edgeedge with one O(23)Li2Co3 square pyramid, and  an edgeedge with one O(5)Li2TiCo2 trigonal bipyramid. In the fifth O site, O(5) is bonded to one Li(4), one Li(7), one Ti(2), one Co(5), and one Co(8) atom to form distorted OLi2TiCo2 trigonal bipyramids that share  a cornercorner with one O(17)Li2Co3 square pyramid,  a cornercorner with one O(18)Li2Co3 square pyramid,  a cornercorner with one O(19)Li2Co3 square pyramid,  a cornercorner with one O(20)Li2Co3 square pyramid,  a cornercorner with one O(11)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(14)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(16)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(7)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(9)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(4)Li2Co3 square pyramid,  an edgeedge with one O(10)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(12)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(13)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(14)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(15)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(7)Li2TiCo2 trigonal bipyramid, and  an edgeedge with one O(9)Li2TiCo2 trigonal bipyramid. In the sixth O site, O(6) is bonded to one Li(3), one Li(8), one Ti(1), one Co(6), and one Co(7) atom to form distorted OLi2TiCo2 trigonal bipyramids that share  a cornercorner with one O(17)Li2Co3 square pyramid,  a cornercorner with one O(18)Li2Co3 square pyramid,  a cornercorner with one O(19)Li2Co3 square pyramid,  a cornercorner with one O(20)Li2Co3 square pyramid,  a cornercorner with one O(10)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(12)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(13)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(15)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(8)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(3)Li2Co3 square pyramid,  an edgeedge with one O(10)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(11)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(13)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(14)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(16)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(8)Li2TiCo2 trigonal bipyramid, and  an edgeedge with one O(9)Li2TiCo2 trigonal bipyramid. In the seventh O site, O(7) is bonded to one Li(1), one Li(6), one Ti(2), one Co(5), and one Co(8) atom to form distorted OLi2TiCo2 trigonal bipyramids that share  a cornercorner with one O(21)Li2Co3 square pyramid,  a cornercorner with one O(22)Li2Co3 square pyramid,  a cornercorner with one O(23)Li2Co3 square pyramid,  a cornercorner with one O(24)Li2Co3 square pyramid,  a cornercorner with one O(10)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(12)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(13)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(15)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(5)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(2)Li2Co3 square pyramid,  an edgeedge with one O(11)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(12)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(14)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(15)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(16)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(5)Li2TiCo2 trigonal bipyramid, and  an edgeedge with one O(9)Li2TiCo2 trigonal bipyramid. In the eighth O site, O(8) is bonded to one Li(2), one Li(5), one Ti(1), one Co(6), and one Co(7) atom to form distorted OLi2TiCo2 trigonal bipyramids that share  a cornercorner with one O(21)Li2Co3 square pyramid,  a cornercorner with one O(22)Li2Co3 square pyramid,  a cornercorner with one O(23)Li2Co3 square pyramid,  a cornercorner with one O(24)Li2Co3 square pyramid,  a cornercorner with one O(11)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(14)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(16)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(6)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(9)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(1)Li2Co3 square pyramid,  an edgeedge with one O(10)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(11)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(12)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(13)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(15)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(16)Li2TiCo2 trigonal bipyramid, and  an edgeedge with one O(6)Li2TiCo2 trigonal bipyramid. In the ninth O site, O(9) is bonded to one Li(3), one Li(7), one Ti(2), one Co(5), and one Co(7) atom to form distorted OLi2TiCo2 trigonal bipyramids that share  a cornercorner with one O(3)Li2Co3 square pyramid,  a cornercorner with one O(4)Li2Co3 square pyramid, corners with two equivalent O(19)Li2Co3 square pyramids,  a cornercorner with one O(12)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(14)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(15)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(5)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(8)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(17)Li2Co3 square pyramid,  an edgeedge with one O(12)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(16)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(5)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(6)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(7)Li2TiCo2 trigonal bipyramid, and edges with two equivalent O(13)Li2TiCo2 trigonal bipyramids. In the tenth O site, O(10) is bonded to one Li(4), one Li(8), one Ti(1), one Co(6), and one Co(8) atom to form distorted OLi2TiCo2 trigonal bipyramids that share  a cornercorner with one O(3)Li2Co3 square pyramid,  a cornercorner with one O(4)Li2Co3 square pyramid, corners with two equivalent O(20)Li2Co3 square pyramids,  a cornercorner with one O(11)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(13)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(16)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(6)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(7)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(18)Li2Co3 square pyramid,  an edgeedge with one O(11)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(15)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(5)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(6)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(8)Li2TiCo2 trigonal bipyramid, and edges with two equivalent O(14)Li2TiCo2 trigonal bipyramids. In the eleventh O site, O(11) is bonded to one Li(1), one Li(5), one Ti(1), one Co(6), and one Co(8) atom to form distorted OLi2TiCo2 trigonal bipyramids that share  a cornercorner with one O(1)Li2Co3 square pyramid,  a cornercorner with one O(2)Li2Co3 square pyramid, corners with two equivalent O(23)Li2Co3 square pyramids,  a cornercorner with one O(10)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(13)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(16)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(5)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(8)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(21)Li2Co3 square pyramid,  an edgeedge with one O(10)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(14)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(6)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(7)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(8)Li2TiCo2 trigonal bipyramid, and edges with two equivalent O(15)Li2TiCo2 trigonal bipyramids. In the twelfth O site, O(12) is bonded to one Li(2), one Li(6), one Ti(2), one Co(5), and one Co(7) atom to form distorted OLi2TiCo2 trigonal bipyramids that share  a cornercorner with one O(1)Li2Co3 square pyramid,  a cornercorner with one O(2)Li2Co3 square pyramid, corners with two equivalent O(24)Li2Co3 square pyramids,  a cornercorner with one O(14)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(15)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(6)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(7)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(9)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(22)Li2Co3 square pyramid,  an edgeedge with one O(13)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(5)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(7)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(8)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(9)Li2TiCo2 trigonal bipyramid, and edges with two equivalent O(16)Li2TiCo2 trigonal bipyramids. In the thirteenth O site, O(13) is bonded to one Li(3), one Li(7), one Ti(1), one Co(5), and one Co(7) atom to form distorted OLi2TiCo2 trigonal bipyramids that share  a cornercorner with one O(3)Li2Co3 square pyramid,  a cornercorner with one O(4)Li2Co3 square pyramid, corners with two equivalent O(17)Li2Co3 square pyramids,  a cornercorner with one O(10)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(11)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(16)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(6)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(7)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(19)Li2Co3 square pyramid,  an edgeedge with one O(12)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(16)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(5)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(6)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(8)Li2TiCo2 trigonal bipyramid, and edges with two equivalent O(9)Li2TiCo2 trigonal bipyramids. In the fourteenth O site, O(14) is bonded to one Li(4), one Li(8), one Ti(2), one Co(6), and one Co(8) atom to form distorted OLi2TiCo2 trigonal bipyramids that share  a cornercorner with one O(3)Li2Co3 square pyramid,  a cornercorner with one O(4)Li2Co3 square pyramid, corners with two equivalent O(18)Li2Co3 square pyramids,  a cornercorner with one O(12)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(15)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(5)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(8)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(9)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(20)Li2Co3 square pyramid,  an edgeedge with one O(11)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(15)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(5)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(6)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(7)Li2TiCo2 trigonal bipyramid, and edges with two equivalent O(10)Li2TiCo2 trigonal bipyramids. In the fifteenth O site, O(15) is bonded to one Li(1), one Li(5), one Ti(2), one Co(6), and one Co(8) atom to form distorted OLi2TiCo2 trigonal bipyramids that share  a cornercorner with one O(1)Li2Co3 square pyramid,  a cornercorner with one O(2)Li2Co3 square pyramid, corners with two equivalent O(21)Li2Co3 square pyramids,  a cornercorner with one O(12)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(14)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(6)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(7)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(9)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(23)Li2Co3 square pyramid,  an edgeedge with one O(10)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(14)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(5)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(7)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(8)Li2TiCo2 trigonal bipyramid, and edges with two equivalent O(11)Li2TiCo2 trigonal bipyramids. In the sixteenth O site, O(16) is bonded to one Li(2), one Li(6), one Ti(1), one Co(5), and one Co(7) atom to form distorted OLi2TiCo2 trigonal bipyramids that share  a cornercorner with one O(1)Li2Co3 square pyramid,  a cornercorner with one O(2)Li2Co3 square pyramid, corners with two equivalent O(22)Li2Co3 square pyramids,  a cornercorner with one O(10)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(11)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(13)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(5)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(8)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(24)Li2Co3 square pyramid,  an edgeedge with one O(13)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(6)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(7)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(8)Li2TiCo2 trigonal bipyramid,  an edgeedge with one O(9)Li2TiCo2 trigonal bipyramid, and edges with two equivalent O(12)Li2TiCo2 trigonal bipyramids. In the seventeenth O site, O(17) is bonded to one Li(3), one Li(7), one Co(1), one Co(10), and one Co(3) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(1)Li2Co3 square pyramid,  a cornercorner with one O(20)Li2Co3 square pyramid,  a cornercorner with one O(21)Li2Co3 square pyramid,  a cornercorner with one O(24)Li2Co3 square pyramid,  a cornercorner with one O(3)Li2Co3 square pyramid,  a cornercorner with one O(5)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(6)Li2TiCo2 trigonal bipyramid, corners with two equivalent O(13)Li2TiCo2 trigonal bipyramids,  an edgeedge with one O(2)Li2Co3 square pyramid,  an edgeedge with one O(21)Li2Co3 square pyramid,  an edgeedge with one O(23)Li2Co3 square pyramid,  an edgeedge with one O(3)Li2Co3 square pyramid,  an edgeedge with one O(4)Li2Co3 square pyramid, edges with two equivalent O(19)Li2Co3 square pyramids, and  an edgeedge with one O(9)Li2TiCo2 trigonal bipyramid. In the eighteenth O site, O(18) is bonded to one Li(4), one Li(8), one Co(2), one Co(4), and one Co(9) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(19)Li2Co3 square pyramid,  a cornercorner with one O(2)Li2Co3 square pyramid,  a cornercorner with one O(22)Li2Co3 square pyramid,  a cornercorner with one O(23)Li2Co3 square pyramid,  a cornercorner with one O(4)Li2Co3 square pyramid,  a cornercorner with one O(5)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(6)Li2TiCo2 trigonal bipyramid, corners with two equivalent O(14)Li2TiCo2 trigonal bipyramids,  an edgeedge with one O(1)Li2Co3 square pyramid,  an edgeedge with one O(22)Li2Co3 square pyramid,  an edgeedge with one O(24)Li2Co3 square pyramid,  an edgeedge with one O(3)Li2Co3 square pyramid,  an edgeedge with one O(4)Li2Co3 square pyramid, edges with two equivalent O(20)Li2Co3 square pyramids, and  an edgeedge with one O(10)Li2TiCo2 trigonal bipyramid. In the nineteenth O site, O(19) is bonded to one Li(3), one Li(7), one Co(1), one Co(3), and one Co(9) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(18)Li2Co3 square pyramid,  a cornercorner with one O(2)Li2Co3 square pyramid,  a cornercorner with one O(22)Li2Co3 square pyramid,  a cornercorner with one O(23)Li2Co3 square pyramid,  a cornercorner with one O(4)Li2Co3 square pyramid,  a cornercorner with one O(5)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(6)Li2TiCo2 trigonal bipyramid, corners with two equivalent O(9)Li2TiCo2 trigonal bipyramids,  an edgeedge with one O(1)Li2Co3 square pyramid,  an edgeedge with one O(21)Li2Co3 square pyramid,  an edgeedge with one O(23)Li2Co3 square pyramid,  an edgeedge with one O(3)Li2Co3 square pyramid,  an edgeedge with one O(4)Li2Co3 square pyramid, edges with two equivalent O(17)Li2Co3 square pyramids, and  an edgeedge with one O(13)Li2TiCo2 trigonal bipyramid. In the twentieth O site, O(20) is bonded to one Li(4), one Li(8), one Co(10), one Co(2), and one Co(4) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(1)Li2Co3 square pyramid,  a cornercorner with one O(17)Li2Co3 square pyramid,  a cornercorner with one O(21)Li2Co3 square pyramid,  a cornercorner with one O(24)Li2Co3 square pyramid,  a cornercorner with one O(3)Li2Co3 square pyramid,  a cornercorner with one O(5)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(6)Li2TiCo2 trigonal bipyramid, corners with two equivalent O(10)Li2TiCo2 trigonal bipyramids,  an edgeedge with one O(2)Li2Co3 square pyramid,  an edgeedge with one O(22)Li2Co3 square pyramid,  an edgeedge with one O(24)Li2Co3 square pyramid,  an edgeedge with one O(3)Li2Co3 square pyramid,  an edgeedge with one O(4)Li2Co3 square pyramid, edges with two equivalent O(18)Li2Co3 square pyramids, and  an edgeedge with one O(14)Li2TiCo2 trigonal bipyramid. In the twenty-first O site, O(21) is bonded to one Li(1), one Li(5), one Co(1), one Co(10), and one Co(3) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(17)Li2Co3 square pyramid,  a cornercorner with one O(2)Li2Co3 square pyramid,  a cornercorner with one O(20)Li2Co3 square pyramid,  a cornercorner with one O(24)Li2Co3 square pyramid,  a cornercorner with one O(4)Li2Co3 square pyramid,  a cornercorner with one O(7)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(8)Li2TiCo2 trigonal bipyramid, corners with two equivalent O(15)Li2TiCo2 trigonal bipyramids,  an edgeedge with one O(1)Li2Co3 square pyramid,  an edgeedge with one O(17)Li2Co3 square pyramid,  an edgeedge with one O(19)Li2Co3 square pyramid,  an edgeedge with one O(2)Li2Co3 square pyramid,  an edgeedge with one O(3)Li2Co3 square pyramid, edges with two equivalent O(23)Li2Co3 square pyramids, and  an edgeedge with one O(11)Li2TiCo2 trigonal bipyramid. In the twenty-second O site, O(22) is bonded to one Li(2), one Li(6), one Co(2), one Co(4), and one Co(9) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(1)Li2Co3 square pyramid,  a cornercorner with one O(18)Li2Co3 square pyramid,  a cornercorner with one O(19)Li2Co3 square pyramid,  a cornercorner with one O(23)Li2Co3 square pyramid,  a cornercorner with one O(3)Li2Co3 square pyramid,  a cornercorner with one O(7)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(8)Li2TiCo2 trigonal bipyramid, corners with two equivalent O(16)Li2TiCo2 trigonal bipyramids,  an edgeedge with one O(1)Li2Co3 square pyramid,  an edgeedge with one O(18)Li2Co3 square pyramid,  an edgeedge with one O(2)Li2Co3 square pyramid,  an edgeedge with one O(20)Li2Co3 square pyramid,  an edgeedge with one O(4)Li2Co3 square pyramid, edges with two equivalent O(24)Li2Co3 square pyramids, and  an edgeedge with one O(12)Li2TiCo2 trigonal bipyramid. In the twenty-third O site, O(23) is bonded to one Li(1), one Li(5), one Co(1), one Co(3), and one Co(9) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(1)Li2Co3 square pyramid,  a cornercorner with one O(18)Li2Co3 square pyramid,  a cornercorner with one O(19)Li2Co3 square pyramid,  a cornercorner with one O(22)Li2Co3 square pyramid,  a cornercorner with one O(3)Li2Co3 square pyramid,  a cornercorner with one O(7)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(8)Li2TiCo2 trigonal bipyramid, corners with two equivalent O(11)Li2TiCo2 trigonal bipyramids,  an edgeedge with one O(1)Li2Co3 square pyramid,  an edgeedge with one O(17)Li2Co3 square pyramid,  an edgeedge with one O(19)Li2Co3 square pyramid,  an edgeedge with one O(2)Li2Co3 square pyramid,  an edgeedge with one O(4)Li2Co3 square pyramid, edges with two equivalent O(21)Li2Co3 square pyramids, and  an edgeedge with one O(15)Li2TiCo2 trigonal bipyramid. In the twenty-fourth O site, O(24) is bonded to one Li(2), one Li(6), one Co(10), one Co(2), and one Co(4) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(17)Li2Co3 square pyramid,  a cornercorner with one O(2)Li2Co3 square pyramid,  a cornercorner with one O(20)Li2Co3 square pyramid,  a cornercorner with one O(21)Li2Co3 square pyramid,  a cornercorner with one O(4)Li2Co3 square pyramid,  a cornercorner with one O(7)Li2TiCo2 trigonal bipyramid,  a cornercorner with one O(8)Li2TiCo2 trigonal bipyramid, corners with two equivalent O(12)Li2TiCo2 trigonal bipyramids,  an edgeedge with one O(1)Li2Co3 square pyramid,  an edgeedge with one O(18)Li2Co3 square pyramid,  an edgeedge with one O(2)Li2Co3 square pyramid,  an edgeedge with one O(20)Li2Co3 square pyramid,  an edgeedge with one O(3)Li2Co3 square pyramid, edges with two equivalent O(22)Li2Co3 square pyramids, and  an edgeedge with one O(16)Li2TiCo2 trigonal bipyramid.