Li3(CoO2)4 crystallizes in the triclinic P1 space group. There are six inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(1), one O(10), one O(11), one O(13), one O(4), and one O(8) atom to form LiO6 octahedra that share corners with three equivalent Co(3)O6 octahedra, corners with three equivalent Co(8)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(7)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and edges with two equivalent Co(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-13°. In the second Li site, Li(2) is bonded to one O(12), one O(14), one O(2), one O(3), one O(7), and one O(9) atom to form LiO6 octahedra that share corners with three equivalent Co(3)O6 octahedra, corners with three equivalent Co(8)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(7)O6 octahedra, edges with two equivalent Li(6)O6 octahedra, edges with two equivalent Co(4)O6 octahedra, and edges with two equivalent Co(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-12°. In the third Li site, Li(3) is bonded to one O(1), one O(11), one O(15), one O(3), one O(5), and one O(9) atom to form LiO6 octahedra that share corners with three equivalent Co(1)O6 octahedra, corners with three equivalent Co(6)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra, edges with two equivalent Co(7)O6 octahedra, and edges with two equivalent Co(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-9°. In the fourth Li site, Li(4) is bonded to one O(10), one O(12), one O(16), one O(2), one O(4), and one O(6) atom to form LiO6 octahedra that share corners with three equivalent Co(1)O6 octahedra, corners with three equivalent Co(6)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(5)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 7-13°. In the fifth Li site, Li(5) is bonded to one O(1), one O(13), one O(15), one O(4), one O(6), and one O(8) atom to form LiO6 octahedra that share corners with three equivalent Co(2)O6 octahedra, corners with three equivalent Co(7)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(8)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and edges with two equivalent Co(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-13°. In the sixth Li site, Li(6) is bonded to one O(14), one O(16), one O(2), one O(3), one O(5), and one O(7) atom to form LiO6 octahedra that share corners with three equivalent Co(2)O6 octahedra, corners with three equivalent Co(7)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(8)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Co(4)O6 octahedra, and edges with two equivalent Co(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-11°. There are eight inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(1), one O(10), one O(11), one O(15), one O(4), and one O(6) atom to form CoO6 octahedra that share corners with three equivalent Li(3)O6 octahedra, corners with three equivalent Li(4)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(7)O6 octahedra,  an edgeedge with one Co(8)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, and edges with two equivalent Co(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-13°. In the second Co site, Co(2) is bonded to one O(14), one O(16), one O(2), one O(4), one O(6), and one O(8) atom to form CoO6 octahedra that share corners with three equivalent Li(5)O6 octahedra, corners with three equivalent Li(6)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, and edges with two equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-9°. In the third Co site, Co(3) is bonded to one O(10), one O(12), one O(14), one O(2), one O(4), and one O(8) atom to form CoO6 octahedra that share corners with three equivalent Li(1)O6 octahedra, corners with three equivalent Li(2)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, and edges with two equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-12°. In the fourth Co site, Co(4) is bonded to one O(12), one O(14), one O(16), one O(5), one O(7), and one O(9) atom to form CoO6 octahedra that share  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(7)O6 octahedra,  an edgeedge with one Co(8)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(6)O6 octahedra, and edges with two equivalent Co(6)O6 octahedra. In the fifth Co site, Co(5) is bonded to one O(10), one O(11), one O(13), one O(15), one O(6), and one O(8) atom to form CoO6 octahedra that share  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(7)O6 octahedra,  an edgeedge with one Co(8)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, and edges with two equivalent Co(1)O6 octahedra. In the sixth Co site, Co(6) is bonded to one O(12), one O(16), one O(2), one O(3), one O(5), and one O(9) atom to form CoO6 octahedra that share corners with three equivalent Li(3)O6 octahedra, corners with three equivalent Li(4)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(7)O6 octahedra,  an edgeedge with one Co(8)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(6)O6 octahedra, and edges with two equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-13°. In the seventh Co site, Co(7) is bonded to one O(1), one O(13), one O(15), one O(3), one O(5), and one O(7) atom to form CoO6 octahedra that share corners with three equivalent Li(5)O6 octahedra, corners with three equivalent Li(6)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, and edges with two equivalent Co(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-13°. In the eighth Co site, Co(8) is bonded to one O(1), one O(11), one O(13), one O(3), one O(7), and one O(9) atom to form CoO6 octahedra that share corners with three equivalent Li(1)O6 octahedra, corners with three equivalent Li(2)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, and edges with two equivalent Co(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-13°. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded to one Li(1), one Li(3), one Li(5), one Co(1), one Co(7), and one Co(8) atom to form OLi3Co3 octahedra that share corners with three equivalent O(3)Li3Co3 octahedra, corners with three equivalent O(4)Li3Co3 octahedra,  an edgeedge with one O(10)Li2Co3 square pyramid,  an edgeedge with one O(5)Li2Co3 square pyramid,  an edgeedge with one O(6)Li2Co3 square pyramid,  an edgeedge with one O(7)Li2Co3 square pyramid,  an edgeedge with one O(8)Li2Co3 square pyramid,  an edgeedge with one O(9)Li2Co3 square pyramid, edges with two equivalent O(11)Li2Co3 square pyramids, edges with two equivalent O(13)Li2Co3 square pyramids, and edges with two equivalent O(15)Li2Co3 square pyramids. The corner-sharing octahedral tilt angles range from 4-6°. In the second O site, O(2) is bonded to one Li(2), one Li(4), one Li(6), one Co(2), one Co(3), and one Co(6) atom to form OLi3Co3 octahedra that share corners with three equivalent O(3)Li3Co3 octahedra, corners with three equivalent O(4)Li3Co3 octahedra,  an edgeedge with one O(10)Li2Co3 square pyramid,  an edgeedge with one O(5)Li2Co3 square pyramid,  an edgeedge with one O(6)Li2Co3 square pyramid,  an edgeedge with one O(7)Li2Co3 square pyramid,  an edgeedge with one O(8)Li2Co3 square pyramid,  an edgeedge with one O(9)Li2Co3 square pyramid, edges with two equivalent O(12)Li2Co3 square pyramids, edges with two equivalent O(14)Li2Co3 square pyramids, and edges with two equivalent O(16)Li2Co3 square pyramids. The corner-sharing octahedral tilt angles range from 3-6°. In the third O site, O(3) is bonded to one Li(2), one Li(3), one Li(6), one Co(6), one Co(7), and one Co(8) atom to form OLi3Co3 octahedra that share corners with three equivalent O(1)Li3Co3 octahedra, corners with three equivalent O(2)Li3Co3 octahedra,  an edgeedge with one O(11)Li2Co3 square pyramid,  an edgeedge with one O(12)Li2Co3 square pyramid,  an edgeedge with one O(13)Li2Co3 square pyramid,  an edgeedge with one O(14)Li2Co3 square pyramid,  an edgeedge with one O(15)Li2Co3 square pyramid,  an edgeedge with one O(16)Li2Co3 square pyramid, edges with two equivalent O(5)Li2Co3 square pyramids, edges with two equivalent O(7)Li2Co3 square pyramids, and edges with two equivalent O(9)Li2Co3 square pyramids. The corner-sharing octahedral tilt angles range from 4-6°. In the fourth O site, O(4) is bonded to one Li(1), one Li(4), one Li(5), one Co(1), one Co(2), and one Co(3) atom to form OLi3Co3 octahedra that share corners with three equivalent O(1)Li3Co3 octahedra, corners with three equivalent O(2)Li3Co3 octahedra,  an edgeedge with one O(11)Li2Co3 square pyramid,  an edgeedge with one O(12)Li2Co3 square pyramid,  an edgeedge with one O(13)Li2Co3 square pyramid,  an edgeedge with one O(14)Li2Co3 square pyramid,  an edgeedge with one O(15)Li2Co3 square pyramid,  an edgeedge with one O(16)Li2Co3 square pyramid, edges with two equivalent O(10)Li2Co3 square pyramids, edges with two equivalent O(6)Li2Co3 square pyramids, and edges with two equivalent O(8)Li2Co3 square pyramids. The corner-sharing octahedral tilt angles range from 3-6°. In the fifth O site, O(5) is bonded to one Li(3), one Li(6), one Co(4), one Co(6), and one Co(7) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(11)Li2Co3 square pyramid,  a cornercorner with one O(13)Li2Co3 square pyramid,  a cornercorner with one O(7)Li2Co3 square pyramid,  a cornercorner with one O(9)Li2Co3 square pyramid, corners with two equivalent O(15)Li2Co3 square pyramids, corners with three equivalent O(16)Li2Co3 square pyramids,  an edgeedge with one O(1)Li3Co3 octahedra,  an edgeedge with one O(2)Li3Co3 octahedra, edges with two equivalent O(3)Li3Co3 octahedra,  an edgeedge with one O(12)Li2Co3 square pyramid,  an edgeedge with one O(14)Li2Co3 square pyramid,  an edgeedge with one O(7)Li2Co3 square pyramid, and  an edgeedge with one O(9)Li2Co3 square pyramid. In the sixth O site, O(6) is bonded to one Li(4), one Li(5), one Co(1), one Co(2), and one Co(5) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(10)Li2Co3 square pyramid,  a cornercorner with one O(12)Li2Co3 square pyramid,  a cornercorner with one O(14)Li2Co3 square pyramid,  a cornercorner with one O(8)Li2Co3 square pyramid, corners with two equivalent O(16)Li2Co3 square pyramids, corners with three equivalent O(15)Li2Co3 square pyramids,  an edgeedge with one O(1)Li3Co3 octahedra,  an edgeedge with one O(2)Li3Co3 octahedra, edges with two equivalent O(4)Li3Co3 octahedra,  an edgeedge with one O(10)Li2Co3 square pyramid,  an edgeedge with one O(11)Li2Co3 square pyramid,  an edgeedge with one O(13)Li2Co3 square pyramid, and  an edgeedge with one O(8)Li2Co3 square pyramid. In the seventh O site, O(7) is bonded to one Li(2), one Li(6), one Co(4), one Co(7), and one Co(8) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(11)Li2Co3 square pyramid,  a cornercorner with one O(15)Li2Co3 square pyramid,  a cornercorner with one O(5)Li2Co3 square pyramid,  a cornercorner with one O(9)Li2Co3 square pyramid, corners with two equivalent O(13)Li2Co3 square pyramids, corners with three equivalent O(14)Li2Co3 square pyramids,  an edgeedge with one O(1)Li3Co3 octahedra,  an edgeedge with one O(2)Li3Co3 octahedra, edges with two equivalent O(3)Li3Co3 octahedra,  an edgeedge with one O(12)Li2Co3 square pyramid,  an edgeedge with one O(16)Li2Co3 square pyramid,  an edgeedge with one O(5)Li2Co3 square pyramid, and  an edgeedge with one O(9)Li2Co3 square pyramid. In the eighth O site, O(8) is bonded to one Li(1), one Li(5), one Co(2), one Co(3), and one Co(5) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(10)Li2Co3 square pyramid,  a cornercorner with one O(12)Li2Co3 square pyramid,  a cornercorner with one O(16)Li2Co3 square pyramid,  a cornercorner with one O(6)Li2Co3 square pyramid, corners with two equivalent O(14)Li2Co3 square pyramids, corners with three equivalent O(13)Li2Co3 square pyramids,  an edgeedge with one O(1)Li3Co3 octahedra,  an edgeedge with one O(2)Li3Co3 octahedra, edges with two equivalent O(4)Li3Co3 octahedra,  an edgeedge with one O(10)Li2Co3 square pyramid,  an edgeedge with one O(11)Li2Co3 square pyramid,  an edgeedge with one O(15)Li2Co3 square pyramid, and  an edgeedge with one O(6)Li2Co3 square pyramid. In the ninth O site, O(9) is bonded to one Li(2), one Li(3), one Co(4), one Co(6), and one Co(8) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(13)Li2Co3 square pyramid,  a cornercorner with one O(15)Li2Co3 square pyramid,  a cornercorner with one O(5)Li2Co3 square pyramid,  a cornercorner with one O(7)Li2Co3 square pyramid, corners with two equivalent O(11)Li2Co3 square pyramids, corners with three equivalent O(12)Li2Co3 square pyramids,  an edgeedge with one O(1)Li3Co3 octahedra,  an edgeedge with one O(2)Li3Co3 octahedra, edges with two equivalent O(3)Li3Co3 octahedra,  an edgeedge with one O(14)Li2Co3 square pyramid,  an edgeedge with one O(16)Li2Co3 square pyramid,  an edgeedge with one O(5)Li2Co3 square pyramid, and  an edgeedge with one O(7)Li2Co3 square pyramid. In the tenth O site, O(10) is bonded to one Li(1), one Li(4), one Co(1), one Co(3), and one Co(5) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(14)Li2Co3 square pyramid,  a cornercorner with one O(16)Li2Co3 square pyramid,  a cornercorner with one O(6)Li2Co3 square pyramid,  a cornercorner with one O(8)Li2Co3 square pyramid, corners with two equivalent O(12)Li2Co3 square pyramids, corners with three equivalent O(11)Li2Co3 square pyramids,  an edgeedge with one O(1)Li3Co3 octahedra,  an edgeedge with one O(2)Li3Co3 octahedra, edges with two equivalent O(4)Li3Co3 octahedra,  an edgeedge with one O(13)Li2Co3 square pyramid,  an edgeedge with one O(15)Li2Co3 square pyramid,  an edgeedge with one O(6)Li2Co3 square pyramid, and  an edgeedge with one O(8)Li2Co3 square pyramid. In the eleventh O site, O(11) is bonded to one Li(1), one Li(3), one Co(1), one Co(5), and one Co(8) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(13)Li2Co3 square pyramid,  a cornercorner with one O(15)Li2Co3 square pyramid,  a cornercorner with one O(5)Li2Co3 square pyramid,  a cornercorner with one O(7)Li2Co3 square pyramid, corners with two equivalent O(9)Li2Co3 square pyramids, corners with three equivalent O(10)Li2Co3 square pyramids,  an edgeedge with one O(3)Li3Co3 octahedra,  an edgeedge with one O(4)Li3Co3 octahedra, edges with two equivalent O(1)Li3Co3 octahedra,  an edgeedge with one O(13)Li2Co3 square pyramid,  an edgeedge with one O(15)Li2Co3 square pyramid,  an edgeedge with one O(6)Li2Co3 square pyramid, and  an edgeedge with one O(8)Li2Co3 square pyramid. In the twelfth O site, O(12) is bonded to one Li(2), one Li(4), one Co(3), one Co(4), and one Co(6) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(14)Li2Co3 square pyramid,  a cornercorner with one O(16)Li2Co3 square pyramid,  a cornercorner with one O(6)Li2Co3 square pyramid,  a cornercorner with one O(8)Li2Co3 square pyramid, corners with two equivalent O(10)Li2Co3 square pyramids, corners with three equivalent O(9)Li2Co3 square pyramids,  an edgeedge with one O(3)Li3Co3 octahedra,  an edgeedge with one O(4)Li3Co3 octahedra, edges with two equivalent O(2)Li3Co3 octahedra,  an edgeedge with one O(14)Li2Co3 square pyramid,  an edgeedge with one O(16)Li2Co3 square pyramid,  an edgeedge with one O(5)Li2Co3 square pyramid, and  an edgeedge with one O(7)Li2Co3 square pyramid. In the thirteenth O site, O(13) is bonded to one Li(1), one Li(5), one Co(5), one Co(7), and one Co(8) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(11)Li2Co3 square pyramid,  a cornercorner with one O(15)Li2Co3 square pyramid,  a cornercorner with one O(5)Li2Co3 square pyramid,  a cornercorner with one O(9)Li2Co3 square pyramid, corners with two equivalent O(7)Li2Co3 square pyramids, corners with three equivalent O(8)Li2Co3 square pyramids,  an edgeedge with one O(3)Li3Co3 octahedra,  an edgeedge with one O(4)Li3Co3 octahedra, edges with two equivalent O(1)Li3Co3 octahedra,  an edgeedge with one O(10)Li2Co3 square pyramid,  an edgeedge with one O(11)Li2Co3 square pyramid,  an edgeedge with one O(15)Li2Co3 square pyramid, and  an edgeedge with one O(6)Li2Co3 square pyramid. In the fourteenth O site, O(14) is bonded to one Li(2), one Li(6), one Co(2), one Co(3), and one Co(4) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(10)Li2Co3 square pyramid,  a cornercorner with one O(12)Li2Co3 square pyramid,  a cornercorner with one O(16)Li2Co3 square pyramid,  a cornercorner with one O(6)Li2Co3 square pyramid, corners with two equivalent O(8)Li2Co3 square pyramids, corners with three equivalent O(7)Li2Co3 square pyramids,  an edgeedge with one O(3)Li3Co3 octahedra,  an edgeedge with one O(4)Li3Co3 octahedra, edges with two equivalent O(2)Li3Co3 octahedra,  an edgeedge with one O(12)Li2Co3 square pyramid,  an edgeedge with one O(16)Li2Co3 square pyramid,  an edgeedge with one O(5)Li2Co3 square pyramid, and  an edgeedge with one O(9)Li2Co3 square pyramid. In the fifteenth O site, O(15) is bonded to one Li(3), one Li(5), one Co(1), one Co(5), and one Co(7) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(11)Li2Co3 square pyramid,  a cornercorner with one O(13)Li2Co3 square pyramid,  a cornercorner with one O(7)Li2Co3 square pyramid,  a cornercorner with one O(9)Li2Co3 square pyramid, corners with two equivalent O(5)Li2Co3 square pyramids, corners with three equivalent O(6)Li2Co3 square pyramids,  an edgeedge with one O(3)Li3Co3 octahedra,  an edgeedge with one O(4)Li3Co3 octahedra, edges with two equivalent O(1)Li3Co3 octahedra,  an edgeedge with one O(10)Li2Co3 square pyramid,  an edgeedge with one O(11)Li2Co3 square pyramid,  an edgeedge with one O(13)Li2Co3 square pyramid, and  an edgeedge with one O(8)Li2Co3 square pyramid. In the sixteenth O site, O(16) is bonded to one Li(4), one Li(6), one Co(2), one Co(4), and one Co(6) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(10)Li2Co3 square pyramid,  a cornercorner with one O(12)Li2Co3 square pyramid,  a cornercorner with one O(14)Li2Co3 square pyramid,  a cornercorner with one O(8)Li2Co3 square pyramid, corners with two equivalent O(6)Li2Co3 square pyramids, corners with three equivalent O(5)Li2Co3 square pyramids,  an edgeedge with one O(3)Li3Co3 octahedra,  an edgeedge with one O(4)Li3Co3 octahedra, edges with two equivalent O(2)Li3Co3 octahedra,  an edgeedge with one O(12)Li2Co3 square pyramid,  an edgeedge with one O(14)Li2Co3 square pyramid,  an edgeedge with one O(7)Li2Co3 square pyramid, and  an edgeedge with one O(9)Li2Co3 square pyramid.
Li3(CoO2)4 crystallizes in the triclinic P1 space group. There are six inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(1), one O(10), one O(11), one O(13), one O(4), and one O(8) atom to form LiO6 octahedra that share corners with three equivalent Co(3)O6 octahedra, corners with three equivalent Co(8)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(7)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and edges with two equivalent Co(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-13°. The Li(1)-O(1) bond length is 2.06 Å. The Li(1)-O(10) bond length is 2.21 Å. The Li(1)-O(11) bond length is 2.11 Å. The Li(1)-O(13) bond length is 2.15 Å. The Li(1)-O(4) bond length is 2.18 Å. The Li(1)-O(8) bond length is 2.09 Å. In the second Li site, Li(2) is bonded to one O(12), one O(14), one O(2), one O(3), one O(7), and one O(9) atom to form LiO6 octahedra that share corners with three equivalent Co(3)O6 octahedra, corners with three equivalent Co(8)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(7)O6 octahedra, edges with two equivalent Li(6)O6 octahedra, edges with two equivalent Co(4)O6 octahedra, and edges with two equivalent Co(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-12°. The Li(2)-O(12) bond length is 2.27 Å. The Li(2)-O(14) bond length is 2.10 Å. The Li(2)-O(2) bond length is 2.18 Å. The Li(2)-O(3) bond length is 2.03 Å. The Li(2)-O(7) bond length is 2.15 Å. The Li(2)-O(9) bond length is 2.09 Å. In the third Li site, Li(3) is bonded to one O(1), one O(11), one O(15), one O(3), one O(5), and one O(9) atom to form LiO6 octahedra that share corners with three equivalent Co(1)O6 octahedra, corners with three equivalent Co(6)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra, edges with two equivalent Co(7)O6 octahedra, and edges with two equivalent Co(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-9°. The Li(3)-O(1) bond length is 2.33 Å. The Li(3)-O(11) bond length is 2.29 Å. The Li(3)-O(15) bond length is 2.30 Å. The Li(3)-O(3) bond length is 2.05 Å. The Li(3)-O(5) bond length is 2.04 Å. The Li(3)-O(9) bond length is 2.09 Å. In the fourth Li site, Li(4) is bonded to one O(10), one O(12), one O(16), one O(2), one O(4), and one O(6) atom to form LiO6 octahedra that share corners with three equivalent Co(1)O6 octahedra, corners with three equivalent Co(6)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(5)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 7-13°. The Li(4)-O(10) bond length is 2.22 Å. The Li(4)-O(12) bond length is 2.10 Å. The Li(4)-O(16) bond length is 2.08 Å. The Li(4)-O(2) bond length is 2.07 Å. The Li(4)-O(4) bond length is 2.20 Å. The Li(4)-O(6) bond length is 2.27 Å. In the fifth Li site, Li(5) is bonded to one O(1), one O(13), one O(15), one O(4), one O(6), and one O(8) atom to form LiO6 octahedra that share corners with three equivalent Co(2)O6 octahedra, corners with three equivalent Co(7)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(8)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and edges with two equivalent Co(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-13°. The Li(5)-O(1) bond length is 2.06 Å. The Li(5)-O(13) bond length is 2.10 Å. The Li(5)-O(15) bond length is 2.07 Å. The Li(5)-O(4) bond length is 2.24 Å. The Li(5)-O(6) bond length is 2.24 Å. The Li(5)-O(8) bond length is 2.23 Å. In the sixth Li site, Li(6) is bonded to one O(14), one O(16), one O(2), one O(3), one O(5), and one O(7) atom to form LiO6 octahedra that share corners with three equivalent Co(2)O6 octahedra, corners with three equivalent Co(7)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(8)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Co(4)O6 octahedra, and edges with two equivalent Co(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-11°. The Li(6)-O(14) bond length is 2.21 Å. The Li(6)-O(16) bond length is 2.34 Å. The Li(6)-O(2) bond length is 2.30 Å. The Li(6)-O(3) bond length is 2.05 Å. The Li(6)-O(5) bond length is 2.05 Å. The Li(6)-O(7) bond length is 2.09 Å. There are eight inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(1), one O(10), one O(11), one O(15), one O(4), and one O(6) atom to form CoO6 octahedra that share corners with three equivalent Li(3)O6 octahedra, corners with three equivalent Li(4)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(7)O6 octahedra,  an edgeedge with one Co(8)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, and edges with two equivalent Co(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-13°. The Co(1)-O(1) bond length is 1.89 Å. The Co(1)-O(10) bond length is 1.92 Å. The Co(1)-O(11) bond length is 1.89 Å. The Co(1)-O(15) bond length is 1.91 Å. The Co(1)-O(4) bond length is 1.94 Å. The Co(1)-O(6) bond length is 1.93 Å. In the second Co site, Co(2) is bonded to one O(14), one O(16), one O(2), one O(4), one O(6), and one O(8) atom to form CoO6 octahedra that share corners with three equivalent Li(5)O6 octahedra, corners with three equivalent Li(6)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, and edges with two equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-9°. The Co(2)-O(14) bond length is 1.89 Å. The Co(2)-O(16) bond length is 1.89 Å. The Co(2)-O(2) bond length is 1.92 Å. The Co(2)-O(4) bond length is 1.94 Å. The Co(2)-O(6) bond length is 1.93 Å. The Co(2)-O(8) bond length is 1.89 Å. In the third Co site, Co(3) is bonded to one O(10), one O(12), one O(14), one O(2), one O(4), and one O(8) atom to form CoO6 octahedra that share corners with three equivalent Li(1)O6 octahedra, corners with three equivalent Li(2)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, and edges with two equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-12°. The Co(3)-O(10) bond length is 1.94 Å. The Co(3)-O(12) bond length is 1.93 Å. The Co(3)-O(14) bond length is 2.08 Å. The Co(3)-O(2) bond length is 1.93 Å. The Co(3)-O(4) bond length is 1.94 Å. The Co(3)-O(8) bond length is 2.09 Å. In the fourth Co site, Co(4) is bonded to one O(12), one O(14), one O(16), one O(5), one O(7), and one O(9) atom to form CoO6 octahedra that share  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(7)O6 octahedra,  an edgeedge with one Co(8)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(6)O6 octahedra, and edges with two equivalent Co(6)O6 octahedra. The Co(4)-O(12) bond length is 1.93 Å. The Co(4)-O(14) bond length is 1.91 Å. The Co(4)-O(16) bond length is 1.92 Å. The Co(4)-O(5) bond length is 1.93 Å. The Co(4)-O(7) bond length is 1.95 Å. The Co(4)-O(9) bond length is 1.93 Å. In the fifth Co site, Co(5) is bonded to one O(10), one O(11), one O(13), one O(15), one O(6), and one O(8) atom to form CoO6 octahedra that share  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(7)O6 octahedra,  an edgeedge with one Co(8)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, and edges with two equivalent Co(1)O6 octahedra. The Co(5)-O(10) bond length is 1.91 Å. The Co(5)-O(11) bond length is 1.92 Å. The Co(5)-O(13) bond length is 1.94 Å. The Co(5)-O(15) bond length is 1.92 Å. The Co(5)-O(6) bond length is 1.92 Å. The Co(5)-O(8) bond length is 1.90 Å. In the sixth Co site, Co(6) is bonded to one O(12), one O(16), one O(2), one O(3), one O(5), and one O(9) atom to form CoO6 octahedra that share corners with three equivalent Li(3)O6 octahedra, corners with three equivalent Li(4)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(7)O6 octahedra,  an edgeedge with one Co(8)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(6)O6 octahedra, and edges with two equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-13°. The Co(6)-O(12) bond length is 1.98 Å. The Co(6)-O(16) bond length is 2.06 Å. The Co(6)-O(2) bond length is 2.08 Å. The Co(6)-O(3) bond length is 2.03 Å. The Co(6)-O(5) bond length is 2.04 Å. The Co(6)-O(9) bond length is 1.93 Å. In the seventh Co site, Co(7) is bonded to one O(1), one O(13), one O(15), one O(3), one O(5), and one O(7) atom to form CoO6 octahedra that share corners with three equivalent Li(5)O6 octahedra, corners with three equivalent Li(6)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, and edges with two equivalent Co(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-13°. The Co(7)-O(1) bond length is 2.06 Å. The Co(7)-O(13) bond length is 1.99 Å. The Co(7)-O(15) bond length is 2.07 Å. The Co(7)-O(3) bond length is 2.04 Å. The Co(7)-O(5) bond length is 2.01 Å. The Co(7)-O(7) bond length is 1.99 Å. In the eighth Co site, Co(8) is bonded to one O(1), one O(11), one O(13), one O(3), one O(7), and one O(9) atom to form CoO6 octahedra that share corners with three equivalent Li(1)O6 octahedra, corners with three equivalent Li(2)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, and edges with two equivalent Co(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-13°. The Co(8)-O(1) bond length is 2.05 Å. The Co(8)-O(11) bond length is 2.03 Å. The Co(8)-O(13) bond length is 1.99 Å. The Co(8)-O(3) bond length is 2.02 Å. The Co(8)-O(7) bond length is 1.99 Å. The Co(8)-O(9) bond length is 2.04 Å. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded to one Li(1), one Li(3), one Li(5), one Co(1), one Co(7), and one Co(8) atom to form OLi3Co3 octahedra that share corners with three equivalent O(3)Li3Co3 octahedra, corners with three equivalent O(4)Li3Co3 octahedra,  an edgeedge with one O(10)Li2Co3 square pyramid,  an edgeedge with one O(5)Li2Co3 square pyramid,  an edgeedge with one O(6)Li2Co3 square pyramid,  an edgeedge with one O(7)Li2Co3 square pyramid,  an edgeedge with one O(8)Li2Co3 square pyramid,  an edgeedge with one O(9)Li2Co3 square pyramid, edges with two equivalent O(11)Li2Co3 square pyramids, edges with two equivalent O(13)Li2Co3 square pyramids, and edges with two equivalent O(15)Li2Co3 square pyramids. The corner-sharing octahedral tilt angles range from 4-6°. In the second O site, O(2) is bonded to one Li(2), one Li(4), one Li(6), one Co(2), one Co(3), and one Co(6) atom to form OLi3Co3 octahedra that share corners with three equivalent O(3)Li3Co3 octahedra, corners with three equivalent O(4)Li3Co3 octahedra,  an edgeedge with one O(10)Li2Co3 square pyramid,  an edgeedge with one O(5)Li2Co3 square pyramid,  an edgeedge with one O(6)Li2Co3 square pyramid,  an edgeedge with one O(7)Li2Co3 square pyramid,  an edgeedge with one O(8)Li2Co3 square pyramid,  an edgeedge with one O(9)Li2Co3 square pyramid, edges with two equivalent O(12)Li2Co3 square pyramids, edges with two equivalent O(14)Li2Co3 square pyramids, and edges with two equivalent O(16)Li2Co3 square pyramids. The corner-sharing octahedral tilt angles range from 3-6°. In the third O site, O(3) is bonded to one Li(2), one Li(3), one Li(6), one Co(6), one Co(7), and one Co(8) atom to form OLi3Co3 octahedra that share corners with three equivalent O(1)Li3Co3 octahedra, corners with three equivalent O(2)Li3Co3 octahedra,  an edgeedge with one O(11)Li2Co3 square pyramid,  an edgeedge with one O(12)Li2Co3 square pyramid,  an edgeedge with one O(13)Li2Co3 square pyramid,  an edgeedge with one O(14)Li2Co3 square pyramid,  an edgeedge with one O(15)Li2Co3 square pyramid,  an edgeedge with one O(16)Li2Co3 square pyramid, edges with two equivalent O(5)Li2Co3 square pyramids, edges with two equivalent O(7)Li2Co3 square pyramids, and edges with two equivalent O(9)Li2Co3 square pyramids. The corner-sharing octahedral tilt angles range from 4-6°. In the fourth O site, O(4) is bonded to one Li(1), one Li(4), one Li(5), one Co(1), one Co(2), and one Co(3) atom to form OLi3Co3 octahedra that share corners with three equivalent O(1)Li3Co3 octahedra, corners with three equivalent O(2)Li3Co3 octahedra,  an edgeedge with one O(11)Li2Co3 square pyramid,  an edgeedge with one O(12)Li2Co3 square pyramid,  an edgeedge with one O(13)Li2Co3 square pyramid,  an edgeedge with one O(14)Li2Co3 square pyramid,  an edgeedge with one O(15)Li2Co3 square pyramid,  an edgeedge with one O(16)Li2Co3 square pyramid, edges with two equivalent O(10)Li2Co3 square pyramids, edges with two equivalent O(6)Li2Co3 square pyramids, and edges with two equivalent O(8)Li2Co3 square pyramids. The corner-sharing octahedral tilt angles range from 3-6°. In the fifth O site, O(5) is bonded to one Li(3), one Li(6), one Co(4), one Co(6), and one Co(7) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(11)Li2Co3 square pyramid,  a cornercorner with one O(13)Li2Co3 square pyramid,  a cornercorner with one O(7)Li2Co3 square pyramid,  a cornercorner with one O(9)Li2Co3 square pyramid, corners with two equivalent O(15)Li2Co3 square pyramids, corners with three equivalent O(16)Li2Co3 square pyramids,  an edgeedge with one O(1)Li3Co3 octahedra,  an edgeedge with one O(2)Li3Co3 octahedra, edges with two equivalent O(3)Li3Co3 octahedra,  an edgeedge with one O(12)Li2Co3 square pyramid,  an edgeedge with one O(14)Li2Co3 square pyramid,  an edgeedge with one O(7)Li2Co3 square pyramid, and  an edgeedge with one O(9)Li2Co3 square pyramid. In the sixth O site, O(6) is bonded to one Li(4), one Li(5), one Co(1), one Co(2), and one Co(5) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(10)Li2Co3 square pyramid,  a cornercorner with one O(12)Li2Co3 square pyramid,  a cornercorner with one O(14)Li2Co3 square pyramid,  a cornercorner with one O(8)Li2Co3 square pyramid, corners with two equivalent O(16)Li2Co3 square pyramids, corners with three equivalent O(15)Li2Co3 square pyramids,  an edgeedge with one O(1)Li3Co3 octahedra,  an edgeedge with one O(2)Li3Co3 octahedra, edges with two equivalent O(4)Li3Co3 octahedra,  an edgeedge with one O(10)Li2Co3 square pyramid,  an edgeedge with one O(11)Li2Co3 square pyramid,  an edgeedge with one O(13)Li2Co3 square pyramid, and  an edgeedge with one O(8)Li2Co3 square pyramid. In the seventh O site, O(7) is bonded to one Li(2), one Li(6), one Co(4), one Co(7), and one Co(8) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(11)Li2Co3 square pyramid,  a cornercorner with one O(15)Li2Co3 square pyramid,  a cornercorner with one O(5)Li2Co3 square pyramid,  a cornercorner with one O(9)Li2Co3 square pyramid, corners with two equivalent O(13)Li2Co3 square pyramids, corners with three equivalent O(14)Li2Co3 square pyramids,  an edgeedge with one O(1)Li3Co3 octahedra,  an edgeedge with one O(2)Li3Co3 octahedra, edges with two equivalent O(3)Li3Co3 octahedra,  an edgeedge with one O(12)Li2Co3 square pyramid,  an edgeedge with one O(16)Li2Co3 square pyramid,  an edgeedge with one O(5)Li2Co3 square pyramid, and  an edgeedge with one O(9)Li2Co3 square pyramid. In the eighth O site, O(8) is bonded to one Li(1), one Li(5), one Co(2), one Co(3), and one Co(5) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(10)Li2Co3 square pyramid,  a cornercorner with one O(12)Li2Co3 square pyramid,  a cornercorner with one O(16)Li2Co3 square pyramid,  a cornercorner with one O(6)Li2Co3 square pyramid, corners with two equivalent O(14)Li2Co3 square pyramids, corners with three equivalent O(13)Li2Co3 square pyramids,  an edgeedge with one O(1)Li3Co3 octahedra,  an edgeedge with one O(2)Li3Co3 octahedra, edges with two equivalent O(4)Li3Co3 octahedra,  an edgeedge with one O(10)Li2Co3 square pyramid,  an edgeedge with one O(11)Li2Co3 square pyramid,  an edgeedge with one O(15)Li2Co3 square pyramid, and  an edgeedge with one O(6)Li2Co3 square pyramid. In the ninth O site, O(9) is bonded to one Li(2), one Li(3), one Co(4), one Co(6), and one Co(8) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(13)Li2Co3 square pyramid,  a cornercorner with one O(15)Li2Co3 square pyramid,  a cornercorner with one O(5)Li2Co3 square pyramid,  a cornercorner with one O(7)Li2Co3 square pyramid, corners with two equivalent O(11)Li2Co3 square pyramids, corners with three equivalent O(12)Li2Co3 square pyramids,  an edgeedge with one O(1)Li3Co3 octahedra,  an edgeedge with one O(2)Li3Co3 octahedra, edges with two equivalent O(3)Li3Co3 octahedra,  an edgeedge with one O(14)Li2Co3 square pyramid,  an edgeedge with one O(16)Li2Co3 square pyramid,  an edgeedge with one O(5)Li2Co3 square pyramid, and  an edgeedge with one O(7)Li2Co3 square pyramid. In the tenth O site, O(10) is bonded to one Li(1), one Li(4), one Co(1), one Co(3), and one Co(5) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(14)Li2Co3 square pyramid,  a cornercorner with one O(16)Li2Co3 square pyramid,  a cornercorner with one O(6)Li2Co3 square pyramid,  a cornercorner with one O(8)Li2Co3 square pyramid, corners with two equivalent O(12)Li2Co3 square pyramids, corners with three equivalent O(11)Li2Co3 square pyramids,  an edgeedge with one O(1)Li3Co3 octahedra,  an edgeedge with one O(2)Li3Co3 octahedra, edges with two equivalent O(4)Li3Co3 octahedra,  an edgeedge with one O(13)Li2Co3 square pyramid,  an edgeedge with one O(15)Li2Co3 square pyramid,  an edgeedge with one O(6)Li2Co3 square pyramid, and  an edgeedge with one O(8)Li2Co3 square pyramid. In the eleventh O site, O(11) is bonded to one Li(1), one Li(3), one Co(1), one Co(5), and one Co(8) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(13)Li2Co3 square pyramid,  a cornercorner with one O(15)Li2Co3 square pyramid,  a cornercorner with one O(5)Li2Co3 square pyramid,  a cornercorner with one O(7)Li2Co3 square pyramid, corners with two equivalent O(9)Li2Co3 square pyramids, corners with three equivalent O(10)Li2Co3 square pyramids,  an edgeedge with one O(3)Li3Co3 octahedra,  an edgeedge with one O(4)Li3Co3 octahedra, edges with two equivalent O(1)Li3Co3 octahedra,  an edgeedge with one O(13)Li2Co3 square pyramid,  an edgeedge with one O(15)Li2Co3 square pyramid,  an edgeedge with one O(6)Li2Co3 square pyramid, and  an edgeedge with one O(8)Li2Co3 square pyramid. In the twelfth O site, O(12) is bonded to one Li(2), one Li(4), one Co(3), one Co(4), and one Co(6) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(14)Li2Co3 square pyramid,  a cornercorner with one O(16)Li2Co3 square pyramid,  a cornercorner with one O(6)Li2Co3 square pyramid,  a cornercorner with one O(8)Li2Co3 square pyramid, corners with two equivalent O(10)Li2Co3 square pyramids, corners with three equivalent O(9)Li2Co3 square pyramids,  an edgeedge with one O(3)Li3Co3 octahedra,  an edgeedge with one O(4)Li3Co3 octahedra, edges with two equivalent O(2)Li3Co3 octahedra,  an edgeedge with one O(14)Li2Co3 square pyramid,  an edgeedge with one O(16)Li2Co3 square pyramid,  an edgeedge with one O(5)Li2Co3 square pyramid, and  an edgeedge with one O(7)Li2Co3 square pyramid. In the thirteenth O site, O(13) is bonded to one Li(1), one Li(5), one Co(5), one Co(7), and one Co(8) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(11)Li2Co3 square pyramid,  a cornercorner with one O(15)Li2Co3 square pyramid,  a cornercorner with one O(5)Li2Co3 square pyramid,  a cornercorner with one O(9)Li2Co3 square pyramid, corners with two equivalent O(7)Li2Co3 square pyramids, corners with three equivalent O(8)Li2Co3 square pyramids,  an edgeedge with one O(3)Li3Co3 octahedra,  an edgeedge with one O(4)Li3Co3 octahedra, edges with two equivalent O(1)Li3Co3 octahedra,  an edgeedge with one O(10)Li2Co3 square pyramid,  an edgeedge with one O(11)Li2Co3 square pyramid,  an edgeedge with one O(15)Li2Co3 square pyramid, and  an edgeedge with one O(6)Li2Co3 square pyramid. In the fourteenth O site, O(14) is bonded to one Li(2), one Li(6), one Co(2), one Co(3), and one Co(4) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(10)Li2Co3 square pyramid,  a cornercorner with one O(12)Li2Co3 square pyramid,  a cornercorner with one O(16)Li2Co3 square pyramid,  a cornercorner with one O(6)Li2Co3 square pyramid, corners with two equivalent O(8)Li2Co3 square pyramids, corners with three equivalent O(7)Li2Co3 square pyramids,  an edgeedge with one O(3)Li3Co3 octahedra,  an edgeedge with one O(4)Li3Co3 octahedra, edges with two equivalent O(2)Li3Co3 octahedra,  an edgeedge with one O(12)Li2Co3 square pyramid,  an edgeedge with one O(16)Li2Co3 square pyramid,  an edgeedge with one O(5)Li2Co3 square pyramid, and  an edgeedge with one O(9)Li2Co3 square pyramid. In the fifteenth O site, O(15) is bonded to one Li(3), one Li(5), one Co(1), one Co(5), and one Co(7) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(11)Li2Co3 square pyramid,  a cornercorner with one O(13)Li2Co3 square pyramid,  a cornercorner with one O(7)Li2Co3 square pyramid,  a cornercorner with one O(9)Li2Co3 square pyramid, corners with two equivalent O(5)Li2Co3 square pyramids, corners with three equivalent O(6)Li2Co3 square pyramids,  an edgeedge with one O(3)Li3Co3 octahedra,  an edgeedge with one O(4)Li3Co3 octahedra, edges with two equivalent O(1)Li3Co3 octahedra,  an edgeedge with one O(10)Li2Co3 square pyramid,  an edgeedge with one O(11)Li2Co3 square pyramid,  an edgeedge with one O(13)Li2Co3 square pyramid, and  an edgeedge with one O(8)Li2Co3 square pyramid. In the sixteenth O site, O(16) is bonded to one Li(4), one Li(6), one Co(2), one Co(4), and one Co(6) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(10)Li2Co3 square pyramid,  a cornercorner with one O(12)Li2Co3 square pyramid,  a cornercorner with one O(14)Li2Co3 square pyramid,  a cornercorner with one O(8)Li2Co3 square pyramid, corners with two equivalent O(6)Li2Co3 square pyramids, corners with three equivalent O(5)Li2Co3 square pyramids,  an edgeedge with one O(3)Li3Co3 octahedra,  an edgeedge with one O(4)Li3Co3 octahedra, edges with two equivalent O(2)Li3Co3 octahedra,  an edgeedge with one O(12)Li2Co3 square pyramid,  an edgeedge with one O(14)Li2Co3 square pyramid,  an edgeedge with one O(7)Li2Co3 square pyramid, and  an edgeedge with one O(9)Li2Co3 square pyramid.