The material structure described by Li9Co13O28 crystallizes in the triclinic P1 space group. There are nine inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(1), one O(10), one O(15), one O(17), one O(4), and one O(6) atom to form LiO6 octahedra that share  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra,  a cornercorner with one Co(4)O6 octahedra,  a cornercorner with one Co(7)O6 octahedra, corners with two equivalent Co(11)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one 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(12)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, and  an edgeedge with one Co(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-13°. In the second Li site, Li(2) is bonded to one O(10), one O(16), one O(26), one O(5), one O(6), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(5)O6 octahedra,  a cornercorner with one Co(6)O6 octahedra, corners with two equivalent Co(9)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Co(12)O6 octahedra,  an edgeedge with one Co(13)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(7)O6 octahedra, and  an edgeedge with one Co(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-15°. In the third Li site, Li(3) is bonded to one O(1), one O(11), one O(15), one O(27), one O(5), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Co(12)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra,  a cornercorner with one Co(4)O6 octahedra, corners with two equivalent Co(10)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Co(11)O6 octahedra,  an edgeedge with one Co(13)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, and  an edgeedge with one Co(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-13°. In the fourth Li site, Li(4) is bonded to one O(15), one O(16), one O(22), one O(4), one O(5), and one O(8) atom to form LiO6 octahedra that share  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(5)O6 octahedra,  a cornercorner with one Co(6)O6 octahedra,  a cornercorner with one Co(8)O6 octahedra, corners with two equivalent Co(13)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Co(10)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, and  an edgeedge with one Co(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-13°. In the fifth Li site, Li(5) is bonded to one O(13), one O(14), one O(21), one O(24), one O(25), and one O(7) atom to form LiO6 octahedra that share  a cornercorner with one Co(13)O6 octahedra,  a cornercorner with one Co(6)O6 octahedra,  a cornercorner with one Co(8)O6 octahedra,  a cornercorner with one Co(9)O6 octahedra, corners with two equivalent Co(1)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Co(11)O6 octahedra,  an edgeedge with one Co(12)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra, and  an edgeedge with one Co(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-14°. In the sixth Li site, Li(6) is bonded to one O(12), one O(17), one O(22), one O(25), one O(4), and one O(7) atom to form LiO6 octahedra that share  a cornercorner with one Co(5)O6 octahedra,  a cornercorner with one Co(6)O6 octahedra,  a cornercorner with one Co(8)O6 octahedra,  a cornercorner with one Co(9)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one 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(11)O6 octahedra,  an edgeedge with one Co(13)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra, and  an edgeedge with one Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 11-13°. In the seventh Li site, Li(7) is bonded to one O(14), one O(18), one O(2), one O(20), one O(24), and one O(28) atom to form LiO6 octahedra that share  a cornercorner with one Co(10)O6 octahedra,  a cornercorner with one Co(11)O6 octahedra,  a cornercorner with one Co(12)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra, corners with two equivalent Co(4)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Co(1)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, and  an edgeedge with one Co(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-18°. In the eighth Li site, Li(8) is bonded to one O(12), one O(14), one O(19), one O(23), one O(25), and one O(28) atom to form LiO6 octahedra that share  a cornercorner with one Co(10)O6 octahedra,  a cornercorner with one Co(11)O6 octahedra,  a cornercorner with one Co(12)O6 octahedra,  a cornercorner with one Co(7)O6 octahedra, corners with two equivalent Co(3)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Co(13)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, and  an edgeedge with one Co(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-15°. In the ninth Li site, Li(9) is bonded to one O(11), one O(18), one O(19), one O(27), one O(28), and one O(3) atom to form distorted LiO6 octahedra that share  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(13)O6 octahedra,  a cornercorner with one Co(9)O6 octahedra, corners with two equivalent Co(6)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Co(10)O6 octahedra,  an edgeedge with one Co(11)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra, and  an edgeedge with one Co(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-17°. There are thirteen inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(2), one O(24), one O(3), one O(4), one O(6), and one O(7) 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(9)O6 octahedra, corners with two equivalent Li(5)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Co(12)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra, and  an edgeedge with one Co(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-17°. In the second Co site, Co(2) is bonded to one O(23), one O(28), one O(3), one O(5), one O(6), and one O(8) 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(7)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(12)O6 octahedra,  an edgeedge with one Co(13)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra, and  an edgeedge with one Co(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-10°. In the third Co site, Co(3) is bonded to one O(11), one O(12), one O(2), one O(28), one O(4), and one O(8) atom to form CoO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra, corners with two equivalent Li(8)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra, and  an edgeedge with one Co(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-14°. In the fourth Co site, Co(4) is bonded to one O(10), one O(12), one O(14), one O(2), 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(3)O6 octahedra, corners with two equivalent Li(7)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 Li(8)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra,  an edgeedge with one Co(7)O6 octahedra, and  an edgeedge with one Co(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-13°. In the fifth Co site, Co(5) is bonded to one O(11), one O(13), one O(3), one O(7), one O(8), and one O(9) 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(6)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, and  an edgeedge with one Co(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 10-11°. In the sixth Co site, Co(6) is bonded to one O(10), one O(11), one O(12), one O(13), one O(15), and one O(19) 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(6)O6 octahedra, corners with two equivalent Li(9)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Co(10)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Co(7)O6 octahedra, and  an edgeedge with one Co(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-14°. In the seventh Co site, Co(7) is bonded to one O(13), one O(14), one O(15), one O(16), one O(20), and one O(9) atom to form CoO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(8)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one 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,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra,  an edgeedge with one Co(8)O6 octahedra, and  an edgeedge with one Co(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-10°. In the eighth Co site, Co(8) is bonded to one O(10), one O(14), one O(16), one O(17), one O(18), and one O(19) atom to form CoO6 octahedra that share  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Li(6)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Co(10)O6 octahedra,  an edgeedge with one Co(11)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra,  an edgeedge with one Co(7)O6 octahedra, and  an edgeedge with one Co(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-12°. In the ninth Co site, Co(9) is bonded to one O(16), one O(18), one O(20), one O(21), one O(22), and one O(26) atom to form CoO6 octahedra that share  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Li(6)O6 octahedra,  a cornercorner with one Li(9)O6 octahedra, corners with two equivalent Li(2)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Co(10)O6 octahedra,  an edgeedge with one Co(11)O6 octahedra,  an edgeedge with one Co(12)O6 octahedra,  an edgeedge with one Co(13)O6 octahedra,  an edgeedge with one Co(7)O6 octahedra, and  an edgeedge with one Co(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-15°. In the tenth Co site, Co(10) is bonded to one O(15), one O(17), one O(19), one O(20), one O(22), and one O(27) atom to form CoO6 octahedra that share  a cornercorner with one Li(7)O6 octahedra,  a cornercorner with one Li(8)O6 octahedra, corners with two equivalent Li(3)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Co(11)O6 octahedra,  an edgeedge with one Co(13)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra,  an edgeedge with one Co(7)O6 octahedra,  an edgeedge with one Co(8)O6 octahedra, and  an edgeedge with one Co(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-18°. In the eleventh Co site, Co(11) is bonded to one O(1), one O(17), one O(18), one O(21), one O(25), and one O(27) atom to form CoO6 octahedra that share  a cornercorner with one Li(7)O6 octahedra,  a cornercorner with one Li(8)O6 octahedra, corners with two equivalent 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(6)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Co(10)O6 octahedra,  an edgeedge with one Co(12)O6 octahedra,  an edgeedge with one Co(13)O6 octahedra,  an edgeedge with one Co(8)O6 octahedra, and  an edgeedge with one Co(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-15°. In the twelfth Co site, Co(12) is bonded to one O(1), one O(21), one O(23), one O(24), one O(26), and one O(6) atom to form CoO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(7)O6 octahedra,  a cornercorner with one Li(8)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(11)O6 octahedra,  an edgeedge with one Co(13)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, and  an edgeedge with one Co(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-13°. In the thirteenth Co site, Co(13) is bonded to one O(22), one O(23), one O(25), one O(26), one O(27), and one O(5) atom to form CoO6 octahedra that share  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Li(9)O6 octahedra, corners with two equivalent Li(4)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Co(10)O6 octahedra,  an edgeedge with one Co(11)O6 octahedra,  an edgeedge with one Co(12)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, and  an edgeedge with one Co(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-13°. There are twenty-eight inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to one Li(1), one Li(3), one Co(11), and one Co(12) atom. In the second O site, O(2) is bonded in a rectangular see-saw-like geometry to one Li(7), one Co(1), one Co(3), and one Co(4) atom. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(9), one Co(1), one Co(2), and one Co(5) atom. In the fourth O site, O(4) is bonded to one Li(1), one Li(4), one Li(6), one Co(1), and one Co(3) atom to form OLi3Co2 square pyramids that share  a cornercorner with one O(10)Li2Co3 square pyramid,  a cornercorner with one O(11)Li2Co3 square pyramid,  a cornercorner with one O(16)Li2Co3 square pyramid,  a cornercorner with one O(25)Li3Co2 square pyramid,  a cornercorner with one O(28)Li3Co2 square pyramid,  a cornercorner with one O(5)Li3Co2 square pyramid,  an edgeedge with one O(15)Li3Co3 octahedra,  an edgeedge with one O(12)Li2Co3 square pyramid,  an edgeedge with one O(17)Li2Co3 square pyramid,  an edgeedge with one O(22)Li2Co3 square pyramid,  an edgeedge with one O(6)Li2Co3 square pyramid, and  an edgeedge with one O(7)Li2Co3 square pyramid. In the fifth O site, O(5) is bonded to one Li(2), one Li(3), one Li(4), one Co(13), and one Co(2) atom to form OLi3Co2 square pyramids that share  a cornercorner with one O(10)Li2Co3 square pyramid,  a cornercorner with one O(11)Li2Co3 square pyramid,  a cornercorner with one O(25)Li3Co2 square pyramid,  a cornercorner with one O(28)Li3Co2 square pyramid,  a cornercorner with one O(4)Li3Co2 square pyramid, corners with two equivalent O(22)Li2Co3 square pyramids,  an edgeedge with one O(15)Li3Co3 octahedra,  an edgeedge with one O(16)Li2Co3 square pyramid,  an edgeedge with one O(27)Li2Co3 square pyramid,  an edgeedge with one O(6)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(1), one Li(2), one Co(1), one Co(12), and one Co(2) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(15)Li3Co3 octahedra,  a cornercorner with one O(16)Li2Co3 square pyramid,  a cornercorner with one O(17)Li2Co3 square pyramid,  a cornercorner with one O(7)Li2Co3 square pyramid,  a cornercorner with one O(9)Li2Co3 square pyramid,  a cornercorner with one O(28)Li3Co2 square pyramid,  an edgeedge with one O(10)Li2Co3 square pyramid,  an edgeedge with one O(4)Li3Co2 square pyramid, and  an edgeedge with one O(5)Li3Co2 square pyramid. The corner-sharing octahedral tilt angles are 4°. In the seventh O site, O(7) is bonded to one Li(5), one Li(6), one Co(1), one Co(4), 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(11)Li2Co3 square pyramid,  a cornercorner with one O(17)Li2Co3 square pyramid,  a cornercorner with one O(22)Li2Co3 square pyramid,  a cornercorner with one O(6)Li2Co3 square pyramid,  an edgeedge with one O(14)Li3Co3 octahedra,  an edgeedge with one O(12)Li2Co3 square pyramid,  an edgeedge with one O(9)Li2Co3 square pyramid,  an edgeedge with one O(25)Li3Co2 square pyramid, and  an edgeedge with one O(4)Li3Co2 square pyramid. In the eighth O site, O(8) is bonded in a rectangular see-saw-like geometry to one Li(4), one Co(2), one Co(3), and one Co(5) atom. In the ninth O site, O(9) is bonded to one Li(2), one Li(3), one Co(4), one Co(5), and one Co(7) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(12)Li2Co3 square pyramid,  a cornercorner with one O(27)Li2Co3 square pyramid,  a cornercorner with one O(6)Li2Co3 square pyramid,  a cornercorner with one O(20)LiCo3 trigonal pyramid,  an edgeedge with one O(14)Li3Co3 octahedra,  an edgeedge with one O(15)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(16)Li2Co3 square pyramid,  an edgeedge with one O(7)Li2Co3 square pyramid, and  an edgeedge with one O(5)Li3Co2 square pyramid. In the tenth O site, O(10) is bonded to one Li(1), one Li(2), one Co(4), one Co(6), 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(18)Li2Co3 square pyramid,  a cornercorner with one O(7)Li2Co3 square pyramid,  a cornercorner with one O(4)Li3Co2 square pyramid,  a cornercorner with one O(5)Li3Co2 square pyramid,  an edgeedge with one O(14)Li3Co3 octahedra,  an edgeedge with one O(15)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(17)Li2Co3 square pyramid,  an edgeedge with one O(19)Li2Co3 square pyramid,  an edgeedge with one O(6)Li2Co3 square pyramid, and  an edgeedge with one O(9)Li2Co3 square pyramid. In the eleventh O site, O(11) is bonded to one Li(3), one Li(9), one Co(3), one Co(5), 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(18)Li2Co3 square pyramid,  a cornercorner with one O(7)Li2Co3 square pyramid,  a cornercorner with one O(4)Li3Co2 square pyramid,  a cornercorner with one O(5)Li3Co2 square pyramid, corners with two equivalent O(19)Li2Co3 square pyramids,  an edgeedge with one O(15)Li3Co3 octahedra,  an edgeedge with one O(12)Li2Co3 square pyramid,  an edgeedge with one O(27)Li2Co3 square pyramid,  an edgeedge with one O(9)Li2Co3 square pyramid, and  an edgeedge with one O(28)Li3Co2 square pyramid. In the twelfth O site, O(12) is bonded to one Li(6), one Li(8), one Co(3), one Co(4), and one Co(6) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(15)Li3Co3 octahedra,  a cornercorner with one O(17)Li2Co3 square pyramid,  a cornercorner with one O(22)Li2Co3 square pyramid,  a cornercorner with one O(9)Li2Co3 square pyramid, corners with two equivalent O(28)Li3Co2 square pyramids,  an edgeedge with one O(14)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(19)Li2Co3 square pyramid,  an edgeedge with one O(7)Li2Co3 square pyramid,  an edgeedge with one O(25)Li3Co2 square pyramid, and  an edgeedge with one O(4)Li3Co2 square pyramid. The corner-sharing octahedral tilt angles are 2°. In the thirteenth O site, O(13) is bonded in a rectangular see-saw-like geometry to one Li(5), one Co(5), one Co(6), and one Co(7) atom. In the fourteenth O site, O(14) is bonded to one Li(5), one Li(7), one Li(8), one Co(4), one Co(7), and one Co(8) atom to form OLi3Co3 octahedra that share  a cornercorner with one O(15)Li3Co3 octahedra,  a cornercorner with one O(17)Li2Co3 square pyramid,  an edgeedge with one O(10)Li2Co3 square pyramid,  an edgeedge with one O(12)Li2Co3 square pyramid,  an edgeedge with one O(16)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(7)Li2Co3 square pyramid,  an edgeedge with one O(9)Li2Co3 square pyramid,  an edgeedge with one O(25)Li3Co2 square pyramid,  an edgeedge with one O(28)Li3Co2 square pyramid, and  an edgeedge with one O(20)LiCo3 trigonal pyramid. The corner-sharing octahedral tilt angles are 1°. In the fifteenth O site, O(15) is bonded to one Li(1), one Li(3), one Li(4), one Co(10), one Co(6), and one Co(7) atom to form OLi3Co3 octahedra that share  a cornercorner with one O(14)Li3Co3 octahedra,  a cornercorner with one O(12)Li2Co3 square pyramid,  a cornercorner with one O(6)Li2Co3 square pyramid, corners with two equivalent O(27)Li2Co3 square pyramids,  an edgeedge with one O(10)Li2Co3 square pyramid,  an edgeedge with one O(11)Li2Co3 square pyramid,  an edgeedge with one O(16)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(22)Li2Co3 square pyramid,  an edgeedge with one O(9)Li2Co3 square pyramid,  an edgeedge with one O(4)Li3Co2 square pyramid,  an edgeedge with one O(5)Li3Co2 square pyramid, and  an edgeedge with one O(20)LiCo3 trigonal pyramid. The corner-sharing octahedral tilt angles are 1°. In the sixteenth O site, O(16) is bonded to one Li(2), one Li(4), one Co(7), one Co(8), 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(19)Li2Co3 square pyramid,  a cornercorner with one O(6)Li2Co3 square pyramid,  a cornercorner with one O(4)Li3Co2 square pyramid,  an edgeedge with one O(14)Li3Co3 octahedra,  an edgeedge with one O(15)Li3Co3 octahedra,  an edgeedge with one O(10)Li2Co3 square pyramid,  an edgeedge with one O(18)Li2Co3 square pyramid,  an edgeedge with one O(22)Li2Co3 square pyramid,  an edgeedge with one O(9)Li2Co3 square pyramid,  an edgeedge with one O(5)Li3Co2 square pyramid, and  an edgeedge with one O(20)LiCo3 trigonal pyramid. In the seventeenth O site, O(17) is bonded to one Li(1), one Li(6), one Co(10), one Co(11), and one Co(8) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(14)Li3Co3 octahedra,  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,  a cornercorner with one O(7)Li2Co3 square pyramid,  a cornercorner with one O(20)LiCo3 trigonal pyramid,  an edgeedge with one O(15)Li3Co3 octahedra,  an edgeedge with one O(10)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(22)Li2Co3 square pyramid,  an edgeedge with one O(27)Li2Co3 square pyramid,  an edgeedge with one O(25)Li3Co2 square pyramid, and  an edgeedge with one O(4)Li3Co2 square pyramid. The corner-sharing octahedral tilt angles are 3°. In the eighteenth O site, O(18) is bonded to one Li(7), one Li(9), one Co(11), one Co(8), and one Co(9) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(10)Li2Co3 square pyramid,  a cornercorner with one O(11)Li2Co3 square pyramid,  a cornercorner with one O(22)Li2Co3 square pyramid,  a cornercorner with one O(25)Li3Co2 square pyramid,  an edgeedge with one O(14)Li3Co3 octahedra,  an edgeedge with one O(16)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(27)Li2Co3 square pyramid,  an edgeedge with one O(28)Li3Co2 square pyramid, and  an edgeedge with one O(20)LiCo3 trigonal pyramid. In the nineteenth O site, O(19) is bonded to one Li(8), one Li(9), one Co(10), one Co(6), and one Co(8) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(16)Li2Co3 square pyramid,  a cornercorner with one O(22)Li2Co3 square pyramid,  a cornercorner with one O(25)Li3Co2 square pyramid, corners with two equivalent O(11)Li2Co3 square pyramids,  a cornercorner with one O(20)LiCo3 trigonal pyramid,  an edgeedge with one O(14)Li3Co3 octahedra,  an edgeedge with one O(15)Li3Co3 octahedra,  an edgeedge with one O(10)Li2Co3 square pyramid,  an edgeedge with one O(12)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(27)Li2Co3 square pyramid, and  an edgeedge with one O(28)Li3Co2 square pyramid. In the twentieth O site, O(20) is bonded to one Li(7), one Co(10), one Co(7), and one Co(9) atom to form OLiCo3 trigonal pyramids that share  a cornercorner with one O(17)Li2Co3 square pyramid,  a cornercorner with one O(19)Li2Co3 square pyramid,  a cornercorner with one O(27)Li2Co3 square pyramid,  a cornercorner with one O(9)Li2Co3 square pyramid,  a cornercorner with one O(28)Li3Co2 square pyramid,  an edgeedge with one O(14)Li3Co3 octahedra,  an edgeedge with one O(15)Li3Co3 octahedra,  an edgeedge with one O(16)Li2Co3 square pyramid,  an edgeedge with one O(18)Li2Co3 square pyramid, and  an edgeedge with one O(22)Li2Co3 square pyramid. In the twenty-first O site, O(21) is bonded in a rectangular see-saw-like geometry to one Li(5), one Co(11), one Co(12), and one Co(9) atom. In the twenty-second O site, O(22) is bonded to one Li(4), one Li(6), one Co(10), one Co(13), and one Co(9) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(12)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(7)Li2Co3 square pyramid, corners with two equivalent O(5)Li3Co2 square pyramids,  an edgeedge with one O(15)Li3Co3 octahedra,  an edgeedge with one O(16)Li2Co3 square pyramid,  an edgeedge with one O(17)Li2Co3 square pyramid,  an edgeedge with one O(27)Li2Co3 square pyramid,  an edgeedge with one O(25)Li3Co2 square pyramid,  an edgeedge with one O(4)Li3Co2 square pyramid, and  an edgeedge with one O(20)LiCo3 trigonal pyramid. In the twenty-third O site, O(23) is bonded in a rectangular see-saw-like geometry to one Li(8), one Co(12), one Co(13), and one Co(2) atom. In the twenty-fourth O site, O(24) is bonded in a rectangular see-saw-like geometry to one Li(5), one Li(7), one Co(1), and one Co(12) atom. In the twenty-fifth O site, O(25) is bonded to one Li(5), one Li(6), one Li(8), one Co(11), and one Co(13) atom to form OLi3Co2 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(28)Li3Co2 square pyramid,  a cornercorner with one O(4)Li3Co2 square pyramid,  a cornercorner with one O(5)Li3Co2 square pyramid,  an edgeedge with one O(14)Li3Co3 octahedra,  an edgeedge with one O(12)Li2Co3 square pyramid,  an edgeedge with one O(17)Li2Co3 square pyramid,  an edgeedge with one O(22)Li2Co3 square pyramid,  an edgeedge with one O(27)Li2Co3 square pyramid, and  an edgeedge with one O(7)Li2Co3 square pyramid. In the twenty-sixth O site, O(26) is bonded in a rectangular see-saw-like geometry to one Li(2), one Co(12), one Co(13), and one Co(9) atom. In the twenty-seventh O site, O(27) is bonded to one Li(3), one Li(9), one Co(10), one Co(11), and one Co(13) atom to form OLi2Co3 square pyramids that share corners with two equivalent O(15)Li3Co3 octahedra,  a cornercorner with one O(9)Li2Co3 square pyramid,  a cornercorner with one O(28)Li3Co2 square pyramid,  a cornercorner with one O(20)LiCo3 trigonal pyramid,  an edgeedge with one O(11)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(22)Li2Co3 square pyramid,  an edgeedge with one O(25)Li3Co2 square pyramid, and  an edgeedge with one O(5)Li3Co2 square pyramid. The corner-sharing octahedral tilt angles range from 2-3°. In the twenty-eighth O site, O(28) is bonded to one Li(7), one Li(8), one Li(9), one Co(2), and one Co(3) atom to form OLi3Co2 square pyramids that share  a cornercorner with one O(27)Li2Co3 square pyramid,  a cornercorner with one O(6)Li2Co3 square pyramid,  a cornercorner with one O(25)Li3Co2 square pyramid,  a cornercorner with one O(4)Li3Co2 square pyramid,  a cornercorner with one O(5)Li3Co2 square pyramid, corners with two equivalent O(12)Li2Co3 square pyramids,  a cornercorner with one O(20)LiCo3 trigonal pyramid,  an edgeedge with one O(14)Li3Co3 octahedra,  an edgeedge with one O(11)Li2Co3 square pyramid,  an edgeedge with one O(18)Li2Co3 square pyramid, and  an edgeedge with one O(19)Li2Co3 square pyramid. is represented by the CIF card [CIF]
data_Li9Co13O28
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.441
_cell_length_b   8.095
_cell_length_c   8.537
_cell_angle_alpha   101.577
_cell_angle_beta   104.395
_cell_angle_gamma   105.169
_symmetry_Int_Tables_number   1
_cell_volume   460.897
_cell_formula_units_Z   1
loop_
 _symmetry_equiv_pos_site_id
 _symmetry_equiv_pos_as_xyz
  1  'x, y, z'
loop_
 _atom_site_type_symbol
 _atom_site_label
 _atom_site_symmetry_multiplicity
 _atom_site_fract_x
 _atom_site_fract_y
 _atom_site_fract_z
 _atom_site_occupancy
  Li  Li0  1  0.925  0.273  0.208  1.0
  Li  Li1  1  0.585  0.202  0.293  1.0
  Li  Li2  1  0.207  0.136  0.351  1.0
  Li  Li3  1  0.288  0.354  0.132  1.0
  Li  Li4  1  0.701  0.650  0.864  1.0
  Li  Li5  1  0.000  0.499  0.996  1.0
  Li  Li6  1  0.770  0.871  0.643  1.0
  Li  Li7  1  0.087  0.720  0.793  1.0
  Li  Li8  1  0.161  0.933  0.571  1.0
  Co  Co9  1  0.717  0.140  0.860  1.0
  Co  Co10  1  0.355  0.074  0.933  1.0
  Co  Co11  1  0.071  0.214  0.790  1.0
  Co  Co12  1  0.783  0.350  0.639  1.0
  Co  Co13  1  0.432  0.292  0.720  1.0
  Co  Co14  1  0.144  0.429  0.572  1.0
  Co  Co15  1  0.500  0.501  0.500  1.0
  Co  Co16  1  0.856  0.569  0.426  1.0
  Co  Co17  1  0.570  0.711  0.281  1.0
  Co  Co18  1  0.218  0.650  0.362  1.0
  Co  Co19  1  0.927  0.790  0.211  1.0
  Co  Co20  1  0.642  0.924  0.065  1.0
  Co  Co21  1  0.281  0.860  0.141  1.0
  O  O22  1  0.904  0.003  0.202  1.0
  O  O23  1  0.799  0.125  0.667  1.0
  O  O24  1  0.442  0.068  0.743  1.0
  O  O25  1  0.989  0.248  0.975  1.0
  O  O26  1  0.301  0.090  0.136  1.0
  O  O27  1  0.631  0.154  0.057  1.0
  O  O28  1  0.706  0.372  0.835  1.0
  O  O29  1  0.344  0.301  0.912  1.0
  O  O30  1  0.505  0.272  0.520  1.0
  O  O31  1  0.867  0.344  0.441  1.0
  O  O32  1  0.162  0.203  0.596  1.0
  O  O33  1  0.053  0.438  0.764  1.0
  O  O34  1  0.419  0.512  0.695  1.0
  O  O35  1  0.777  0.587  0.624  1.0
  O  O36  1  0.224  0.413  0.373  1.0
  O  O37  1  0.581  0.484  0.304  1.0
  O  O38  1  0.946  0.561  0.238  1.0
  O  O39  1  0.843  0.793  0.407  1.0
  O  O40  1  0.123  0.658  0.553  1.0
  O  O41  1  0.494  0.728  0.475  1.0
  O  O42  1  0.656  0.699  0.089  1.0
  O  O43  1  0.296  0.631  0.166  1.0
  O  O44  1  0.362  0.845  0.948  1.0
  O  O45  1  0.707  0.918  0.870  1.0
  O  O46  1  0.017  0.753  0.026  1.0
  O  O47  1  0.553  0.933  0.257  1.0
  O  O48  1  0.199  0.878  0.340  1.0
  O  O49  1  0.099  0.992  0.792  1.0
[/CIF]
.
The material structure described by Li9Co13O28 crystallizes in the triclinic P1 space group. There are nine inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(1), one O(10), one O(15), one O(17), one O(4), and one O(6) atom to form LiO6 octahedra that share  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra,  a cornercorner with one Co(4)O6 octahedra,  a cornercorner with one Co(7)O6 octahedra, corners with two equivalent Co(11)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one 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(12)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, and  an edgeedge with one Co(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-13°. In the second Li site, Li(2) is bonded to one O(10), one O(16), one O(26), one O(5), one O(6), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(5)O6 octahedra,  a cornercorner with one Co(6)O6 octahedra, corners with two equivalent Co(9)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Co(12)O6 octahedra,  an edgeedge with one Co(13)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(7)O6 octahedra, and  an edgeedge with one Co(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-15°. In the third Li site, Li(3) is bonded to one O(1), one O(11), one O(15), one O(27), one O(5), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Co(12)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra,  a cornercorner with one Co(4)O6 octahedra, corners with two equivalent Co(10)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Co(11)O6 octahedra,  an edgeedge with one Co(13)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, and  an edgeedge with one Co(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-13°. In the fourth Li site, Li(4) is bonded to one O(15), one O(16), one O(22), one O(4), one O(5), and one O(8) atom to form LiO6 octahedra that share  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(5)O6 octahedra,  a cornercorner with one Co(6)O6 octahedra,  a cornercorner with one Co(8)O6 octahedra, corners with two equivalent Co(13)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Co(10)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, and  an edgeedge with one Co(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-13°. In the fifth Li site, Li(5) is bonded to one O(13), one O(14), one O(21), one O(24), one O(25), and one O(7) atom to form LiO6 octahedra that share  a cornercorner with one Co(13)O6 octahedra,  a cornercorner with one Co(6)O6 octahedra,  a cornercorner with one Co(8)O6 octahedra,  a cornercorner with one Co(9)O6 octahedra, corners with two equivalent Co(1)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Co(11)O6 octahedra,  an edgeedge with one Co(12)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra, and  an edgeedge with one Co(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-14°. In the sixth Li site, Li(6) is bonded to one O(12), one O(17), one O(22), one O(25), one O(4), and one O(7) atom to form LiO6 octahedra that share  a cornercorner with one Co(5)O6 octahedra,  a cornercorner with one Co(6)O6 octahedra,  a cornercorner with one Co(8)O6 octahedra,  a cornercorner with one Co(9)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one 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(11)O6 octahedra,  an edgeedge with one Co(13)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra, and  an edgeedge with one Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 11-13°. In the seventh Li site, Li(7) is bonded to one O(14), one O(18), one O(2), one O(20), one O(24), and one O(28) atom to form LiO6 octahedra that share  a cornercorner with one Co(10)O6 octahedra,  a cornercorner with one Co(11)O6 octahedra,  a cornercorner with one Co(12)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra, corners with two equivalent Co(4)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Co(1)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, and  an edgeedge with one Co(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-18°. In the eighth Li site, Li(8) is bonded to one O(12), one O(14), one O(19), one O(23), one O(25), and one O(28) atom to form LiO6 octahedra that share  a cornercorner with one Co(10)O6 octahedra,  a cornercorner with one Co(11)O6 octahedra,  a cornercorner with one Co(12)O6 octahedra,  a cornercorner with one Co(7)O6 octahedra, corners with two equivalent Co(3)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Co(13)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, and  an edgeedge with one Co(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-15°. In the ninth Li site, Li(9) is bonded to one O(11), one O(18), one O(19), one O(27), one O(28), and one O(3) atom to form distorted LiO6 octahedra that share  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(13)O6 octahedra,  a cornercorner with one Co(9)O6 octahedra, corners with two equivalent Co(6)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Co(10)O6 octahedra,  an edgeedge with one Co(11)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra, and  an edgeedge with one Co(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-17°. There are thirteen inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(2), one O(24), one O(3), one O(4), one O(6), and one O(7) 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(9)O6 octahedra, corners with two equivalent Li(5)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Co(12)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra, and  an edgeedge with one Co(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-17°. In the second Co site, Co(2) is bonded to one O(23), one O(28), one O(3), one O(5), one O(6), and one O(8) 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(7)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(12)O6 octahedra,  an edgeedge with one Co(13)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra, and  an edgeedge with one Co(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-10°. In the third Co site, Co(3) is bonded to one O(11), one O(12), one O(2), one O(28), one O(4), and one O(8) atom to form CoO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra, corners with two equivalent Li(8)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra, and  an edgeedge with one Co(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-14°. In the fourth Co site, Co(4) is bonded to one O(10), one O(12), one O(14), one O(2), 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(3)O6 octahedra, corners with two equivalent Li(7)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 Li(8)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra,  an edgeedge with one Co(7)O6 octahedra, and  an edgeedge with one Co(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-13°. In the fifth Co site, Co(5) is bonded to one O(11), one O(13), one O(3), one O(7), one O(8), and one O(9) 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(6)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, and  an edgeedge with one Co(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 10-11°. In the sixth Co site, Co(6) is bonded to one O(10), one O(11), one O(12), one O(13), one O(15), and one O(19) 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(6)O6 octahedra, corners with two equivalent Li(9)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Co(10)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Co(7)O6 octahedra, and  an edgeedge with one Co(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-14°. In the seventh Co site, Co(7) is bonded to one O(13), one O(14), one O(15), one O(16), one O(20), and one O(9) atom to form CoO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(8)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one 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,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra,  an edgeedge with one Co(8)O6 octahedra, and  an edgeedge with one Co(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-10°. In the eighth Co site, Co(8) is bonded to one O(10), one O(14), one O(16), one O(17), one O(18), and one O(19) atom to form CoO6 octahedra that share  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Li(6)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Co(10)O6 octahedra,  an edgeedge with one Co(11)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra,  an edgeedge with one Co(7)O6 octahedra, and  an edgeedge with one Co(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-12°. In the ninth Co site, Co(9) is bonded to one O(16), one O(18), one O(20), one O(21), one O(22), and one O(26) atom to form CoO6 octahedra that share  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Li(6)O6 octahedra,  a cornercorner with one Li(9)O6 octahedra, corners with two equivalent Li(2)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Co(10)O6 octahedra,  an edgeedge with one Co(11)O6 octahedra,  an edgeedge with one Co(12)O6 octahedra,  an edgeedge with one Co(13)O6 octahedra,  an edgeedge with one Co(7)O6 octahedra, and  an edgeedge with one Co(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-15°. In the tenth Co site, Co(10) is bonded to one O(15), one O(17), one O(19), one O(20), one O(22), and one O(27) atom to form CoO6 octahedra that share  a cornercorner with one Li(7)O6 octahedra,  a cornercorner with one Li(8)O6 octahedra, corners with two equivalent Li(3)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Co(11)O6 octahedra,  an edgeedge with one Co(13)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra,  an edgeedge with one Co(7)O6 octahedra,  an edgeedge with one Co(8)O6 octahedra, and  an edgeedge with one Co(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-18°. In the eleventh Co site, Co(11) is bonded to one O(1), one O(17), one O(18), one O(21), one O(25), and one O(27) atom to form CoO6 octahedra that share  a cornercorner with one Li(7)O6 octahedra,  a cornercorner with one Li(8)O6 octahedra, corners with two equivalent 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(6)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Co(10)O6 octahedra,  an edgeedge with one Co(12)O6 octahedra,  an edgeedge with one Co(13)O6 octahedra,  an edgeedge with one Co(8)O6 octahedra, and  an edgeedge with one Co(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-15°. In the twelfth Co site, Co(12) is bonded to one O(1), one O(21), one O(23), one O(24), one O(26), and one O(6) atom to form CoO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(7)O6 octahedra,  a cornercorner with one Li(8)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(11)O6 octahedra,  an edgeedge with one Co(13)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, and  an edgeedge with one Co(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-13°. In the thirteenth Co site, Co(13) is bonded to one O(22), one O(23), one O(25), one O(26), one O(27), and one O(5) atom to form CoO6 octahedra that share  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Li(9)O6 octahedra, corners with two equivalent Li(4)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Co(10)O6 octahedra,  an edgeedge with one Co(11)O6 octahedra,  an edgeedge with one Co(12)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, and  an edgeedge with one Co(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-13°. There are twenty-eight inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to one Li(1), one Li(3), one Co(11), and one Co(12) atom. In the second O site, O(2) is bonded in a rectangular see-saw-like geometry to one Li(7), one Co(1), one Co(3), and one Co(4) atom. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(9), one Co(1), one Co(2), and one Co(5) atom. In the fourth O site, O(4) is bonded to one Li(1), one Li(4), one Li(6), one Co(1), and one Co(3) atom to form OLi3Co2 square pyramids that share  a cornercorner with one O(10)Li2Co3 square pyramid,  a cornercorner with one O(11)Li2Co3 square pyramid,  a cornercorner with one O(16)Li2Co3 square pyramid,  a cornercorner with one O(25)Li3Co2 square pyramid,  a cornercorner with one O(28)Li3Co2 square pyramid,  a cornercorner with one O(5)Li3Co2 square pyramid,  an edgeedge with one O(15)Li3Co3 octahedra,  an edgeedge with one O(12)Li2Co3 square pyramid,  an edgeedge with one O(17)Li2Co3 square pyramid,  an edgeedge with one O(22)Li2Co3 square pyramid,  an edgeedge with one O(6)Li2Co3 square pyramid, and  an edgeedge with one O(7)Li2Co3 square pyramid. In the fifth O site, O(5) is bonded to one Li(2), one Li(3), one Li(4), one Co(13), and one Co(2) atom to form OLi3Co2 square pyramids that share  a cornercorner with one O(10)Li2Co3 square pyramid,  a cornercorner with one O(11)Li2Co3 square pyramid,  a cornercorner with one O(25)Li3Co2 square pyramid,  a cornercorner with one O(28)Li3Co2 square pyramid,  a cornercorner with one O(4)Li3Co2 square pyramid, corners with two equivalent O(22)Li2Co3 square pyramids,  an edgeedge with one O(15)Li3Co3 octahedra,  an edgeedge with one O(16)Li2Co3 square pyramid,  an edgeedge with one O(27)Li2Co3 square pyramid,  an edgeedge with one O(6)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(1), one Li(2), one Co(1), one Co(12), and one Co(2) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(15)Li3Co3 octahedra,  a cornercorner with one O(16)Li2Co3 square pyramid,  a cornercorner with one O(17)Li2Co3 square pyramid,  a cornercorner with one O(7)Li2Co3 square pyramid,  a cornercorner with one O(9)Li2Co3 square pyramid,  a cornercorner with one O(28)Li3Co2 square pyramid,  an edgeedge with one O(10)Li2Co3 square pyramid,  an edgeedge with one O(4)Li3Co2 square pyramid, and  an edgeedge with one O(5)Li3Co2 square pyramid. The corner-sharing octahedral tilt angles are 4°. In the seventh O site, O(7) is bonded to one Li(5), one Li(6), one Co(1), one Co(4), 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(11)Li2Co3 square pyramid,  a cornercorner with one O(17)Li2Co3 square pyramid,  a cornercorner with one O(22)Li2Co3 square pyramid,  a cornercorner with one O(6)Li2Co3 square pyramid,  an edgeedge with one O(14)Li3Co3 octahedra,  an edgeedge with one O(12)Li2Co3 square pyramid,  an edgeedge with one O(9)Li2Co3 square pyramid,  an edgeedge with one O(25)Li3Co2 square pyramid, and  an edgeedge with one O(4)Li3Co2 square pyramid. In the eighth O site, O(8) is bonded in a rectangular see-saw-like geometry to one Li(4), one Co(2), one Co(3), and one Co(5) atom. In the ninth O site, O(9) is bonded to one Li(2), one Li(3), one Co(4), one Co(5), and one Co(7) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(12)Li2Co3 square pyramid,  a cornercorner with one O(27)Li2Co3 square pyramid,  a cornercorner with one O(6)Li2Co3 square pyramid,  a cornercorner with one O(20)LiCo3 trigonal pyramid,  an edgeedge with one O(14)Li3Co3 octahedra,  an edgeedge with one O(15)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(16)Li2Co3 square pyramid,  an edgeedge with one O(7)Li2Co3 square pyramid, and  an edgeedge with one O(5)Li3Co2 square pyramid. In the tenth O site, O(10) is bonded to one Li(1), one Li(2), one Co(4), one Co(6), 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(18)Li2Co3 square pyramid,  a cornercorner with one O(7)Li2Co3 square pyramid,  a cornercorner with one O(4)Li3Co2 square pyramid,  a cornercorner with one O(5)Li3Co2 square pyramid,  an edgeedge with one O(14)Li3Co3 octahedra,  an edgeedge with one O(15)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(17)Li2Co3 square pyramid,  an edgeedge with one O(19)Li2Co3 square pyramid,  an edgeedge with one O(6)Li2Co3 square pyramid, and  an edgeedge with one O(9)Li2Co3 square pyramid. In the eleventh O site, O(11) is bonded to one Li(3), one Li(9), one Co(3), one Co(5), 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(18)Li2Co3 square pyramid,  a cornercorner with one O(7)Li2Co3 square pyramid,  a cornercorner with one O(4)Li3Co2 square pyramid,  a cornercorner with one O(5)Li3Co2 square pyramid, corners with two equivalent O(19)Li2Co3 square pyramids,  an edgeedge with one O(15)Li3Co3 octahedra,  an edgeedge with one O(12)Li2Co3 square pyramid,  an edgeedge with one O(27)Li2Co3 square pyramid,  an edgeedge with one O(9)Li2Co3 square pyramid, and  an edgeedge with one O(28)Li3Co2 square pyramid. In the twelfth O site, O(12) is bonded to one Li(6), one Li(8), one Co(3), one Co(4), and one Co(6) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(15)Li3Co3 octahedra,  a cornercorner with one O(17)Li2Co3 square pyramid,  a cornercorner with one O(22)Li2Co3 square pyramid,  a cornercorner with one O(9)Li2Co3 square pyramid, corners with two equivalent O(28)Li3Co2 square pyramids,  an edgeedge with one O(14)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(19)Li2Co3 square pyramid,  an edgeedge with one O(7)Li2Co3 square pyramid,  an edgeedge with one O(25)Li3Co2 square pyramid, and  an edgeedge with one O(4)Li3Co2 square pyramid. The corner-sharing octahedral tilt angles are 2°. In the thirteenth O site, O(13) is bonded in a rectangular see-saw-like geometry to one Li(5), one Co(5), one Co(6), and one Co(7) atom. In the fourteenth O site, O(14) is bonded to one Li(5), one Li(7), one Li(8), one Co(4), one Co(7), and one Co(8) atom to form OLi3Co3 octahedra that share  a cornercorner with one O(15)Li3Co3 octahedra,  a cornercorner with one O(17)Li2Co3 square pyramid,  an edgeedge with one O(10)Li2Co3 square pyramid,  an edgeedge with one O(12)Li2Co3 square pyramid,  an edgeedge with one O(16)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(7)Li2Co3 square pyramid,  an edgeedge with one O(9)Li2Co3 square pyramid,  an edgeedge with one O(25)Li3Co2 square pyramid,  an edgeedge with one O(28)Li3Co2 square pyramid, and  an edgeedge with one O(20)LiCo3 trigonal pyramid. The corner-sharing octahedral tilt angles are 1°. In the fifteenth O site, O(15) is bonded to one Li(1), one Li(3), one Li(4), one Co(10), one Co(6), and one Co(7) atom to form OLi3Co3 octahedra that share  a cornercorner with one O(14)Li3Co3 octahedra,  a cornercorner with one O(12)Li2Co3 square pyramid,  a cornercorner with one O(6)Li2Co3 square pyramid, corners with two equivalent O(27)Li2Co3 square pyramids,  an edgeedge with one O(10)Li2Co3 square pyramid,  an edgeedge with one O(11)Li2Co3 square pyramid,  an edgeedge with one O(16)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(22)Li2Co3 square pyramid,  an edgeedge with one O(9)Li2Co3 square pyramid,  an edgeedge with one O(4)Li3Co2 square pyramid,  an edgeedge with one O(5)Li3Co2 square pyramid, and  an edgeedge with one O(20)LiCo3 trigonal pyramid. The corner-sharing octahedral tilt angles are 1°. In the sixteenth O site, O(16) is bonded to one Li(2), one Li(4), one Co(7), one Co(8), 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(19)Li2Co3 square pyramid,  a cornercorner with one O(6)Li2Co3 square pyramid,  a cornercorner with one O(4)Li3Co2 square pyramid,  an edgeedge with one O(14)Li3Co3 octahedra,  an edgeedge with one O(15)Li3Co3 octahedra,  an edgeedge with one O(10)Li2Co3 square pyramid,  an edgeedge with one O(18)Li2Co3 square pyramid,  an edgeedge with one O(22)Li2Co3 square pyramid,  an edgeedge with one O(9)Li2Co3 square pyramid,  an edgeedge with one O(5)Li3Co2 square pyramid, and  an edgeedge with one O(20)LiCo3 trigonal pyramid. In the seventeenth O site, O(17) is bonded to one Li(1), one Li(6), one Co(10), one Co(11), and one Co(8) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(14)Li3Co3 octahedra,  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,  a cornercorner with one O(7)Li2Co3 square pyramid,  a cornercorner with one O(20)LiCo3 trigonal pyramid,  an edgeedge with one O(15)Li3Co3 octahedra,  an edgeedge with one O(10)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(22)Li2Co3 square pyramid,  an edgeedge with one O(27)Li2Co3 square pyramid,  an edgeedge with one O(25)Li3Co2 square pyramid, and  an edgeedge with one O(4)Li3Co2 square pyramid. The corner-sharing octahedral tilt angles are 3°. In the eighteenth O site, O(18) is bonded to one Li(7), one Li(9), one Co(11), one Co(8), and one Co(9) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(10)Li2Co3 square pyramid,  a cornercorner with one O(11)Li2Co3 square pyramid,  a cornercorner with one O(22)Li2Co3 square pyramid,  a cornercorner with one O(25)Li3Co2 square pyramid,  an edgeedge with one O(14)Li3Co3 octahedra,  an edgeedge with one O(16)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(27)Li2Co3 square pyramid,  an edgeedge with one O(28)Li3Co2 square pyramid, and  an edgeedge with one O(20)LiCo3 trigonal pyramid. In the nineteenth O site, O(19) is bonded to one Li(8), one Li(9), one Co(10), one Co(6), and one Co(8) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(16)Li2Co3 square pyramid,  a cornercorner with one O(22)Li2Co3 square pyramid,  a cornercorner with one O(25)Li3Co2 square pyramid, corners with two equivalent O(11)Li2Co3 square pyramids,  a cornercorner with one O(20)LiCo3 trigonal pyramid,  an edgeedge with one O(14)Li3Co3 octahedra,  an edgeedge with one O(15)Li3Co3 octahedra,  an edgeedge with one O(10)Li2Co3 square pyramid,  an edgeedge with one O(12)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(27)Li2Co3 square pyramid, and  an edgeedge with one O(28)Li3Co2 square pyramid. In the twentieth O site, O(20) is bonded to one Li(7), one Co(10), one Co(7), and one Co(9) atom to form OLiCo3 trigonal pyramids that share  a cornercorner with one O(17)Li2Co3 square pyramid,  a cornercorner with one O(19)Li2Co3 square pyramid,  a cornercorner with one O(27)Li2Co3 square pyramid,  a cornercorner with one O(9)Li2Co3 square pyramid,  a cornercorner with one O(28)Li3Co2 square pyramid,  an edgeedge with one O(14)Li3Co3 octahedra,  an edgeedge with one O(15)Li3Co3 octahedra,  an edgeedge with one O(16)Li2Co3 square pyramid,  an edgeedge with one O(18)Li2Co3 square pyramid, and  an edgeedge with one O(22)Li2Co3 square pyramid. In the twenty-first O site, O(21) is bonded in a rectangular see-saw-like geometry to one Li(5), one Co(11), one Co(12), and one Co(9) atom. In the twenty-second O site, O(22) is bonded to one Li(4), one Li(6), one Co(10), one Co(13), and one Co(9) atom to form OLi2Co3 square pyramids that share  a cornercorner with one O(12)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(7)Li2Co3 square pyramid, corners with two equivalent O(5)Li3Co2 square pyramids,  an edgeedge with one O(15)Li3Co3 octahedra,  an edgeedge with one O(16)Li2Co3 square pyramid,  an edgeedge with one O(17)Li2Co3 square pyramid,  an edgeedge with one O(27)Li2Co3 square pyramid,  an edgeedge with one O(25)Li3Co2 square pyramid,  an edgeedge with one O(4)Li3Co2 square pyramid, and  an edgeedge with one O(20)LiCo3 trigonal pyramid. In the twenty-third O site, O(23) is bonded in a rectangular see-saw-like geometry to one Li(8), one Co(12), one Co(13), and one Co(2) atom. In the twenty-fourth O site, O(24) is bonded in a rectangular see-saw-like geometry to one Li(5), one Li(7), one Co(1), and one Co(12) atom. In the twenty-fifth O site, O(25) is bonded to one Li(5), one Li(6), one Li(8), one Co(11), and one Co(13) atom to form OLi3Co2 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(28)Li3Co2 square pyramid,  a cornercorner with one O(4)Li3Co2 square pyramid,  a cornercorner with one O(5)Li3Co2 square pyramid,  an edgeedge with one O(14)Li3Co3 octahedra,  an edgeedge with one O(12)Li2Co3 square pyramid,  an edgeedge with one O(17)Li2Co3 square pyramid,  an edgeedge with one O(22)Li2Co3 square pyramid,  an edgeedge with one O(27)Li2Co3 square pyramid, and  an edgeedge with one O(7)Li2Co3 square pyramid. In the twenty-sixth O site, O(26) is bonded in a rectangular see-saw-like geometry to one Li(2), one Co(12), one Co(13), and one Co(9) atom. In the twenty-seventh O site, O(27) is bonded to one Li(3), one Li(9), one Co(10), one Co(11), and one Co(13) atom to form OLi2Co3 square pyramids that share corners with two equivalent O(15)Li3Co3 octahedra,  a cornercorner with one O(9)Li2Co3 square pyramid,  a cornercorner with one O(28)Li3Co2 square pyramid,  a cornercorner with one O(20)LiCo3 trigonal pyramid,  an edgeedge with one O(11)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(22)Li2Co3 square pyramid,  an edgeedge with one O(25)Li3Co2 square pyramid, and  an edgeedge with one O(5)Li3Co2 square pyramid. The corner-sharing octahedral tilt angles range from 2-3°. In the twenty-eighth O site, O(28) is bonded to one Li(7), one Li(8), one Li(9), one Co(2), and one Co(3) atom to form OLi3Co2 square pyramids that share  a cornercorner with one O(27)Li2Co3 square pyramid,  a cornercorner with one O(6)Li2Co3 square pyramid,  a cornercorner with one O(25)Li3Co2 square pyramid,  a cornercorner with one O(4)Li3Co2 square pyramid,  a cornercorner with one O(5)Li3Co2 square pyramid, corners with two equivalent O(12)Li2Co3 square pyramids,  a cornercorner with one O(20)LiCo3 trigonal pyramid,  an edgeedge with one O(14)Li3Co3 octahedra,  an edgeedge with one O(11)Li2Co3 square pyramid,  an edgeedge with one O(18)Li2Co3 square pyramid, and  an edgeedge with one O(19)Li2Co3 square pyramid. is represented by the CIF card [CIF]
data_Li9Co13O28
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.441
_cell_length_b   8.095
_cell_length_c   8.537
_cell_angle_alpha   101.577
_cell_angle_beta   104.395
_cell_angle_gamma   105.169
_symmetry_Int_Tables_number   1
_cell_volume   460.897
_cell_formula_units_Z   1
loop_
 _symmetry_equiv_pos_site_id
 _symmetry_equiv_pos_as_xyz
  1  'x, y, z'
loop_
 _atom_site_type_symbol
 _atom_site_label
 _atom_site_symmetry_multiplicity
 _atom_site_fract_x
 _atom_site_fract_y
 _atom_site_fract_z
 _atom_site_occupancy
  Li  Li0  1  0.925  0.273  0.208  1.0
  Li  Li1  1  0.585  0.202  0.293  1.0
  Li  Li2  1  0.207  0.136  0.351  1.0
  Li  Li3  1  0.288  0.354  0.132  1.0
  Li  Li4  1  0.701  0.650  0.864  1.0
  Li  Li5  1  0.000  0.499  0.996  1.0
  Li  Li6  1  0.770  0.871  0.643  1.0
  Li  Li7  1  0.087  0.720  0.793  1.0
  Li  Li8  1  0.161  0.933  0.571  1.0
  Co  Co9  1  0.717  0.140  0.860  1.0
  Co  Co10  1  0.355  0.074  0.933  1.0
  Co  Co11  1  0.071  0.214  0.790  1.0
  Co  Co12  1  0.783  0.350  0.639  1.0
  Co  Co13  1  0.432  0.292  0.720  1.0
  Co  Co14  1  0.144  0.429  0.572  1.0
  Co  Co15  1  0.500  0.501  0.500  1.0
  Co  Co16  1  0.856  0.569  0.426  1.0
  Co  Co17  1  0.570  0.711  0.281  1.0
  Co  Co18  1  0.218  0.650  0.362  1.0
  Co  Co19  1  0.927  0.790  0.211  1.0
  Co  Co20  1  0.642  0.924  0.065  1.0
  Co  Co21  1  0.281  0.860  0.141  1.0
  O  O22  1  0.904  0.003  0.202  1.0
  O  O23  1  0.799  0.125  0.667  1.0
  O  O24  1  0.442  0.068  0.743  1.0
  O  O25  1  0.989  0.248  0.975  1.0
  O  O26  1  0.301  0.090  0.136  1.0
  O  O27  1  0.631  0.154  0.057  1.0
  O  O28  1  0.706  0.372  0.835  1.0
  O  O29  1  0.344  0.301  0.912  1.0
  O  O30  1  0.505  0.272  0.520  1.0
  O  O31  1  0.867  0.344  0.441  1.0
  O  O32  1  0.162  0.203  0.596  1.0
  O  O33  1  0.053  0.438  0.764  1.0
  O  O34  1  0.419  0.512  0.695  1.0
  O  O35  1  0.777  0.587  0.624  1.0
  O  O36  1  0.224  0.413  0.373  1.0
  O  O37  1  0.581  0.484  0.304  1.0
  O  O38  1  0.946  0.561  0.238  1.0
  O  O39  1  0.843  0.793  0.407  1.0
  O  O40  1  0.123  0.658  0.553  1.0
  O  O41  1  0.494  0.728  0.475  1.0
  O  O42  1  0.656  0.699  0.089  1.0
  O  O43  1  0.296  0.631  0.166  1.0
  O  O44  1  0.362  0.845  0.948  1.0
  O  O45  1  0.707  0.918  0.870  1.0
  O  O46  1  0.017  0.753  0.026  1.0
  O  O47  1  0.553  0.933  0.257  1.0
  O  O48  1  0.199  0.878  0.340  1.0
  O  O49  1  0.099  0.992  0.792  1.0
[/CIF]
.