The material structure described by Li5Co3(NiO5)2 is Caswellsilverite-derived structured and crystallizes in the triclinic P1 space group. There are ten inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(11), one O(13), one O(15), one O(17), one O(19), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Li(10)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Li(8)O6 octahedra, corners with two equivalent Co(4)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra, edges with two equivalent Ni(1)O6 octahedra, and edges with two equivalent Ni(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-11°. In the second Li site, Li(2) is bonded to one O(10), one O(12), one O(14), one O(16), one O(18), and one O(20) atom to form LiO6 octahedra that share  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(6)O6 octahedra,  a cornercorner with one Li(7)O6 octahedra,  a cornercorner with one Li(9)O6 octahedra, corners with two equivalent Co(1)O6 octahedra,  an edgeedge with one Li(10)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(6)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, edges with two equivalent Ni(3)O6 octahedra, and edges with two equivalent Ni(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-9°. In the third Li site, Li(3) is bonded to one O(10), one O(11), one O(13), one O(17), one O(20), and one O(3) atom to form LiO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra,  a cornercorner with one Ni(3)O6 octahedra,  a cornercorner with one Ni(4)O6 octahedra, corners with two equivalent Co(2)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra,  an edgeedge with one Ni(1)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra,  an edgeedge with one Ni(4)O6 octahedra, edges with two equivalent Li(6)O6 octahedra, and edges with two equivalent Li(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-13°. In the fourth Li site, Li(4) is bonded to one O(12), one O(14), one O(18), one O(19), one O(4), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Co(6)O6 octahedra,  a cornercorner with one Ni(1)O6 octahedra,  a cornercorner with one Ni(2)O6 octahedra, corners with two equivalent Co(5)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra,  an edgeedge with one Ni(3)O6 octahedra,  an edgeedge with one Ni(4)O6 octahedra, edges with two equivalent Li(10)O6 octahedra, and edges with two equivalent Li(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-16°. In the fifth Li site, Li(5) is bonded to one O(1), one O(12), one O(15), one O(18), one O(19), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Ni(3)O6 octahedra,  a cornercorner with one Ni(4)O6 octahedra, corners with two equivalent Co(3)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(10)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Ni(1)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra,  an edgeedge with one Ni(3)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, and edges with two equivalent Li(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-13°. In the sixth Li site, Li(6) is bonded to one O(10), one O(11), one O(16), one O(17), one O(2), and one O(20) atom to form LiO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Co(5)O6 octahedra,  a cornercorner with one Ni(1)O6 octahedra,  a cornercorner with one Ni(2)O6 octahedra, corners with two 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(9)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Ni(1)O6 octahedra,  an edgeedge with one Ni(3)O6 octahedra,  an edgeedge with one Ni(4)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, and edges with two equivalent Li(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-17°. In the seventh Li site, Li(7) is bonded to one O(1), one O(15), one O(18), one O(5), one O(7), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Co(5)O6 octahedra,  a cornercorner with one Co(6)O6 octahedra,  a cornercorner with one Ni(1)O6 octahedra, corners with two equivalent Ni(2)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(9)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,  an edgeedge with one Ni(1)O6 octahedra,  an edgeedge with one Ni(3)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, and edges with two equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-13°. In the eighth Li site, Li(8) is bonded to one O(10), one O(16), one O(17), one O(2), one O(6), and one O(8) atom to form LiO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra,  a cornercorner with one Ni(3)O6 octahedra, corners with two equivalent Ni(4)O6 octahedra,  an edgeedge with one Li(10)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra,  an edgeedge with one Ni(1)O6 octahedra,  an edgeedge with one Ni(3)O6 octahedra, edges with two equivalent Li(6)O6 octahedra, and edges with two equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-15°. In the ninth Li site, Li(9) is bonded to one O(11), one O(13), one O(20), one O(3), one O(5), and one O(7) atom to form LiO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Co(5)O6 octahedra,  a cornercorner with one Co(6)O6 octahedra,  a cornercorner with one Ni(2)O6 octahedra, corners with two equivalent Ni(1)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(2)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra,  an edgeedge with one Ni(4)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, and edges with two equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-12°. In the tenth Li site, Li(10) is bonded to one O(12), one O(14), one O(19), one O(4), one O(6), and one O(8) atom to form LiO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra,  a cornercorner with one Ni(4)O6 octahedra, corners with two equivalent Ni(3)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra,  an edgeedge with one Ni(4)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, and edges with two equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-14°. There are six inequivalent Co sites. In the first Co site, Co(1) 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  a cornercorner with one Co(5)O6 octahedra,  a cornercorner with one Co(6)O6 octahedra,  a cornercorner with one Ni(1)O6 octahedra,  a cornercorner with one Ni(2)O6 octahedra, corners with two equivalent Li(2)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(6)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,  an edgeedge with one Co(6)O6 octahedra,  an edgeedge with one Ni(3)O6 octahedra,  an edgeedge with one Ni(4)O6 octahedra, edges with two equivalent Li(10)O6 octahedra, and edges with two equivalent Li(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-6°. In the second Co site, Co(2) is bonded to one O(15), one O(17), one O(2), one O(3), one O(5), and one O(8) atom to form CoO6 octahedra that share  a cornercorner with one Li(10)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Li(8)O6 octahedra,  a cornercorner with one Co(4)O6 octahedra, corners with two equivalent Li(3)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 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(4)O6 octahedra,  an edgeedge with one Ni(4)O6 octahedra, edges with two equivalent Co(6)O6 octahedra, and edges with two equivalent Ni(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-13°. In the third Co site, Co(3) is bonded to one O(1), one O(13), one O(19), one O(4), one O(6), and one O(7) atom to form CoO6 octahedra that share  a cornercorner with one Li(10)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(8)O6 octahedra,  a cornercorner with one Co(4)O6 octahedra, corners with two equivalent Li(5)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(10)O6 octahedra,  an edgeedge with one Li(4)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(4)O6 octahedra,  an edgeedge with one Ni(3)O6 octahedra, edges with two equivalent Co(5)O6 octahedra, and edges with two equivalent Ni(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-13°. In the fourth Co site, Co(4) 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  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra,  a cornercorner with one Ni(3)O6 octahedra,  a cornercorner with one Ni(4)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 Co(2)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 Ni(1)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra, edges with two equivalent Li(7)O6 octahedra, and edges with two equivalent Li(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-9°. In the fifth Co site, Co(5) is bonded to one O(1), one O(16), one O(18), one O(4), one O(6), and one O(7) atom to form CoO6 octahedra that share  a cornercorner with one Li(6)O6 octahedra,  a cornercorner with one Li(7)O6 octahedra,  a cornercorner with one Li(9)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra, corners with two equivalent Li(4)O6 octahedra,  an edgeedge with one Li(10)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, and edges with two equivalent Ni(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-17°. In the sixth Co site, Co(6) is bonded to one O(14), one O(2), one O(20), one O(3), one O(5), and one O(8) atom to form CoO6 octahedra that share  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(7)O6 octahedra,  a cornercorner with one Li(9)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra, corners with two equivalent Li(6)O6 octahedra,  an edgeedge with one Li(10)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Ni(1)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and edges with two equivalent Ni(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-16°. There are four inequivalent Ni sites. In the first Ni site, Ni(1) is bonded to one O(11), one O(15), one O(17), one O(2), one O(5), and one O(9) atom to form NiO6 octahedra that share  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(6)O6 octahedra,  a cornercorner with one Li(7)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra, corners with two equivalent Li(9)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(7)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, and edges with two equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-11°. In the second Ni site, Ni(2) is bonded to one O(11), one O(13), one O(19), one O(4), one O(7), and one O(9) atom to form NiO6 octahedra that share  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(6)O6 octahedra,  a cornercorner with one Li(9)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra, corners with two equivalent Li(7)O6 octahedra,  an edgeedge with one Li(10)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(9)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Ni(1)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, and edges with two equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-11°. In the third Ni site, Ni(3) is bonded to one O(1), one O(10), one O(12), one O(16), one O(18), and one O(6) atom to form NiO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Li(8)O6 octahedra,  a cornercorner with one Co(4)O6 octahedra, corners with two equivalent Li(10)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Ni(4)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, and edges with two equivalent Co(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-15°. In the fourth Ni site, Ni(4) is bonded to one O(10), one O(12), one O(14), one O(20), one O(3), and one O(8) atom to form NiO6 octahedra that share  a cornercorner with one Li(10)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Co(4)O6 octahedra, corners with two equivalent Li(8)O6 octahedra,  an edgeedge with one Li(10)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Ni(3)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, and edges with two equivalent Co(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-14°. There are twenty inequivalent O sites. In the first O site, O(1) is bonded to one Li(5), one Li(7), one Co(3), one Co(4), one Co(5), and one Ni(3) atom to form OLi2Co3Ni octahedra that share  a cornercorner with one O(3)Li2Co3Ni octahedra,  a cornercorner with one O(6)Li2Co3Ni octahedra,  a cornercorner with one O(15)Li3Co2Ni octahedra,  a cornercorner with one O(10)Li4Ni2 octahedra, corners with two equivalent O(19)Li4CoNi octahedra,  an edgeedge with one O(4)Li2Co3Ni octahedra,  an edgeedge with one O(5)Li2Co3Ni octahedra,  an edgeedge with one O(6)Li2Co3Ni octahedra,  an edgeedge with one O(13)Li3Co2Ni octahedra,  an edgeedge with one O(15)Li3Co2Ni octahedra,  an edgeedge with one O(16)Li3Co2Ni octahedra,  an edgeedge with one O(12)Li4Ni2 octahedra,  an edgeedge with one O(9)Li4Ni2 octahedra, edges with two equivalent O(7)Li2Co3Ni octahedra, and edges with two equivalent O(18)Li4CoNi octahedra. The corner-sharing octahedral tilt angles range from 0-13°. In the second O site, O(2) is bonded to one Li(6), one Li(8), one Co(1), one Co(2), one Co(6), and one Ni(1) atom to form OLi2Co3Ni octahedra that share  a cornercorner with one O(4)Li2Co3Ni octahedra,  a cornercorner with one O(5)Li2Co3Ni octahedra,  a cornercorner with one O(16)Li3Co2Ni octahedra,  a cornercorner with one O(9)Li4Ni2 octahedra, corners with two equivalent O(20)Li4CoNi octahedra,  an edgeedge with one O(3)Li2Co3Ni octahedra,  an edgeedge with one O(5)Li2Co3Ni octahedra,  an edgeedge with one O(6)Li2Co3Ni octahedra,  an edgeedge with one O(14)Li3Co2Ni octahedra,  an edgeedge with one O(15)Li3Co2Ni octahedra,  an edgeedge with one O(16)Li3Co2Ni octahedra,  an edgeedge with one O(10)Li4Ni2 octahedra,  an edgeedge with one O(11)Li4Ni2 octahedra, edges with two equivalent O(8)Li2Co3Ni octahedra, and edges with two equivalent O(17)Li4CoNi octahedra. The corner-sharing octahedral tilt angles range from 0-12°. In the third O site, O(3) is bonded to one Li(3), one Li(9), one Co(2), one Co(4), one Co(6), and one Ni(4) atom to form OLi2Co3Ni octahedra that share  a cornercorner with one O(1)Li2Co3Ni octahedra,  a cornercorner with one O(8)Li2Co3Ni octahedra,  a cornercorner with one O(13)Li3Co2Ni octahedra,  a cornercorner with one O(12)Li4Ni2 octahedra, corners with two equivalent O(17)Li4CoNi octahedra,  an edgeedge with one O(2)Li2Co3Ni octahedra,  an edgeedge with one O(7)Li2Co3Ni octahedra,  an edgeedge with one O(8)Li2Co3Ni octahedra,  an edgeedge with one O(13)Li3Co2Ni octahedra,  an edgeedge with one O(14)Li3Co2Ni octahedra,  an edgeedge with one O(15)Li3Co2Ni octahedra,  an edgeedge with one O(10)Li4Ni2 octahedra,  an edgeedge with one O(11)Li4Ni2 octahedra, edges with two equivalent O(5)Li2Co3Ni octahedra, and edges with two equivalent O(20)Li4CoNi octahedra. The corner-sharing octahedral tilt angles range from 0-12°. In the fourth O site, O(4) is bonded to one Li(10), one Li(4), one Co(1), one Co(3), one Co(5), and one Ni(2) atom to form OLi2Co3Ni octahedra that share  a cornercorner with one O(2)Li2Co3Ni octahedra,  a cornercorner with one O(7)Li2Co3Ni octahedra,  a cornercorner with one O(14)Li3Co2Ni octahedra,  a cornercorner with one O(11)Li4Ni2 octahedra, corners with two equivalent O(18)Li4CoNi octahedra,  an edgeedge with one O(1)Li2Co3Ni octahedra,  an edgeedge with one O(7)Li2Co3Ni octahedra,  an edgeedge with one O(8)Li2Co3Ni octahedra,  an edgeedge with one O(13)Li3Co2Ni octahedra,  an edgeedge with one O(14)Li3Co2Ni octahedra,  an edgeedge with one O(16)Li3Co2Ni octahedra,  an edgeedge with one O(12)Li4Ni2 octahedra,  an edgeedge with one O(9)Li4Ni2 octahedra, edges with two equivalent O(6)Li2Co3Ni octahedra, and edges with two equivalent O(19)Li4CoNi octahedra. The corner-sharing octahedral tilt angles range from 0-12°. In the fifth O site, O(5) is bonded to one Li(7), one Li(9), one Co(2), one Co(4), one Co(6), and one Ni(1) atom to form OLi2Co3Ni octahedra that share  a cornercorner with one O(2)Li2Co3Ni octahedra,  a cornercorner with one O(7)Li2Co3Ni octahedra,  a cornercorner with one O(14)Li3Co2Ni octahedra,  a cornercorner with one O(18)Li4CoNi octahedra, corners with two equivalent O(11)Li4Ni2 octahedra,  an edgeedge with one O(1)Li2Co3Ni octahedra,  an edgeedge with one O(2)Li2Co3Ni octahedra,  an edgeedge with one O(7)Li2Co3Ni octahedra,  an edgeedge with one O(8)Li2Co3Ni octahedra,  an edgeedge with one O(13)Li3Co2Ni octahedra,  an edgeedge with one O(17)Li4CoNi octahedra,  an edgeedge with one O(20)Li4CoNi octahedra,  an edgeedge with one O(9)Li4Ni2 octahedra, edges with two equivalent O(3)Li2Co3Ni octahedra, and edges with two equivalent O(15)Li3Co2Ni octahedra. The corner-sharing octahedral tilt angles range from 0-16°. In the sixth O site, O(6) is bonded to one Li(10), one Li(8), one Co(1), one Co(3), one Co(5), and one Ni(3) atom to form OLi2Co3Ni octahedra that share  a cornercorner with one O(1)Li2Co3Ni octahedra,  a cornercorner with one O(8)Li2Co3Ni octahedra,  a cornercorner with one O(13)Li3Co2Ni octahedra,  a cornercorner with one O(17)Li4CoNi octahedra, corners with two equivalent O(12)Li4Ni2 octahedra,  an edgeedge with one O(1)Li2Co3Ni octahedra,  an edgeedge with one O(2)Li2Co3Ni octahedra,  an edgeedge with one O(7)Li2Co3Ni octahedra,  an edgeedge with one O(8)Li2Co3Ni octahedra,  an edgeedge with one O(14)Li3Co2Ni octahedra,  an edgeedge with one O(18)Li4CoNi octahedra,  an edgeedge with one O(19)Li4CoNi octahedra,  an edgeedge with one O(10)Li4Ni2 octahedra, edges with two equivalent O(4)Li2Co3Ni octahedra, and edges with two equivalent O(16)Li3Co2Ni octahedra. The corner-sharing octahedral tilt angles range from 1-10°. In the seventh O site, O(7) is bonded to one Li(7), one Li(9), one Co(3), one Co(4), one Co(5), and one Ni(2) atom to form OLi2Co3Ni octahedra that share  a cornercorner with one O(4)Li2Co3Ni octahedra,  a cornercorner with one O(5)Li2Co3Ni octahedra,  a cornercorner with one O(16)Li3Co2Ni octahedra,  a cornercorner with one O(20)Li4CoNi octahedra, corners with two equivalent O(9)Li4Ni2 octahedra,  an edgeedge with one O(3)Li2Co3Ni octahedra,  an edgeedge with one O(4)Li2Co3Ni octahedra,  an edgeedge with one O(5)Li2Co3Ni octahedra,  an edgeedge with one O(6)Li2Co3Ni octahedra,  an edgeedge with one O(15)Li3Co2Ni octahedra,  an edgeedge with one O(18)Li4CoNi octahedra,  an edgeedge with one O(19)Li4CoNi octahedra,  an edgeedge with one O(11)Li4Ni2 octahedra, edges with two equivalent O(1)Li2Co3Ni octahedra, and edges with two equivalent O(13)Li3Co2Ni octahedra. The corner-sharing octahedral tilt angles range from 0-16°. In the eighth O site, O(8) is bonded to one Li(10), one Li(8), one Co(1), one Co(2), one Co(6), and one Ni(4) atom to form OLi2Co3Ni octahedra that share  a cornercorner with one O(3)Li2Co3Ni octahedra,  a cornercorner with one O(6)Li2Co3Ni octahedra,  a cornercorner with one O(15)Li3Co2Ni octahedra,  a cornercorner with one O(19)Li4CoNi octahedra, corners with two equivalent O(10)Li4Ni2 octahedra,  an edgeedge with one O(3)Li2Co3Ni octahedra,  an edgeedge with one O(4)Li2Co3Ni octahedra,  an edgeedge with one O(5)Li2Co3Ni octahedra,  an edgeedge with one O(6)Li2Co3Ni octahedra,  an edgeedge with one O(16)Li3Co2Ni octahedra,  an edgeedge with one O(17)Li4CoNi octahedra,  an edgeedge with one O(20)Li4CoNi octahedra,  an edgeedge with one O(12)Li4Ni2 octahedra, edges with two equivalent O(2)Li2Co3Ni octahedra, and edges with two equivalent O(14)Li3Co2Ni octahedra. The corner-sharing octahedral tilt angles range from 1-12°. In the ninth O site, O(9) is bonded to one Li(1), one Li(4), one Li(5), one Li(7), one Ni(1), and one Ni(2) atom to form OLi4Ni2 octahedra that share  a cornercorner with one O(2)Li2Co3Ni octahedra,  a cornercorner with one O(14)Li3Co2Ni octahedra,  a cornercorner with one O(18)Li4CoNi octahedra,  a cornercorner with one O(11)Li4Ni2 octahedra, corners with two equivalent O(7)Li2Co3Ni octahedra,  an edgeedge with one O(1)Li2Co3Ni octahedra,  an edgeedge with one O(4)Li2Co3Ni octahedra,  an edgeedge with one O(5)Li2Co3Ni octahedra,  an edgeedge with one O(13)Li3Co2Ni octahedra,  an edgeedge with one O(17)Li4CoNi octahedra,  an edgeedge with one O(18)Li4CoNi octahedra,  an edgeedge with one O(11)Li4Ni2 octahedra,  an edgeedge with one O(12)Li4Ni2 octahedra, edges with two equivalent O(15)Li3Co2Ni octahedra, and edges with two equivalent O(19)Li4CoNi octahedra. The corner-sharing octahedral tilt angles range from 0-12°. In the tenth O site, O(10) is bonded to one Li(2), one Li(3), one Li(6), one Li(8), one Ni(3), and one Ni(4) atom to form OLi4Ni2 octahedra that share  a cornercorner with one O(1)Li2Co3Ni octahedra,  a cornercorner with one O(13)Li3Co2Ni octahedra,  a cornercorner with one O(17)Li4CoNi octahedra,  a cornercorner with one O(12)Li4Ni2 octahedra, corners with two equivalent O(8)Li2Co3Ni octahedra,  an edgeedge with one O(2)Li2Co3Ni octahedra,  an edgeedge with one O(3)Li2Co3Ni octahedra,  an edgeedge with one O(6)Li2Co3Ni octahedra,  an edgeedge with one O(14)Li3Co2Ni octahedra,  an edgeedge with one O(17)Li4CoNi octahedra,  an edgeedge with one O(18)Li4CoNi octahedra,  an edgeedge with one O(11)Li4Ni2 octahedra,  an edgeedge with one O(12)Li4Ni2 octahedra, edges with two equivalent O(16)Li3Co2Ni octahedra, and edges with two equivalent O(20)Li4CoNi octahedra. The corner-sharing octahedral tilt angles range from 1-10°. In the eleventh O site, O(11) is bonded to one Li(1), one Li(3), one Li(6), one Li(9), one Ni(1), and one Ni(2) atom to form OLi4Ni2 octahedra that share  a cornercorner with one O(4)Li2Co3Ni octahedra,  a cornercorner with one O(16)Li3Co2Ni octahedra,  a cornercorner with one O(20)Li4CoNi octahedra,  a cornercorner with one O(9)Li4Ni2 octahedra, corners with two equivalent O(5)Li2Co3Ni octahedra,  an edgeedge with one O(2)Li2Co3Ni octahedra,  an edgeedge with one O(3)Li2Co3Ni octahedra,  an edgeedge with one O(7)Li2Co3Ni octahedra,  an edgeedge with one O(15)Li3Co2Ni octahedra,  an edgeedge with one O(19)Li4CoNi octahedra,  an edgeedge with one O(20)Li4CoNi octahedra,  an edgeedge with one O(10)Li4Ni2 octahedra,  an edgeedge with one O(9)Li4Ni2 octahedra, edges with two equivalent O(13)Li3Co2Ni octahedra, and edges with two equivalent O(17)Li4CoNi octahedra. The corner-sharing octahedral tilt angles range from 0-13°. In the twelfth O site, O(12) is bonded to one Li(10), one Li(2), one Li(4), one Li(5), one Ni(3), and one Ni(4) atom to form OLi4Ni2 octahedra that share  a cornercorner with one O(3)Li2Co3Ni octahedra,  a cornercorner with one O(15)Li3Co2Ni octahedra,  a cornercorner with one O(19)Li4CoNi octahedra,  a cornercorner with one O(10)Li4Ni2 octahedra, corners with two equivalent O(6)Li2Co3Ni octahedra,  an edgeedge with one O(1)Li2Co3Ni octahedra,  an edgeedge with one O(4)Li2Co3Ni octahedra,  an edgeedge with one O(8)Li2Co3Ni octahedra,  an edgeedge with one O(16)Li3Co2Ni octahedra,  an edgeedge with one O(19)Li4CoNi octahedra,  an edgeedge with one O(20)Li4CoNi octahedra,  an edgeedge with one O(10)Li4Ni2 octahedra,  an edgeedge with one O(9)Li4Ni2 octahedra, edges with two equivalent O(14)Li3Co2Ni octahedra, and edges with two equivalent O(18)Li4CoNi octahedra. The corner-sharing octahedral tilt angles range from 1-9°. In the thirteenth O site, O(13) is bonded to one Li(1), one Li(3), one Li(9), one Co(3), one Co(4), and one Ni(2) atom to form OLi3Co2Ni octahedra that share  a cornercorner with one O(3)Li2Co3Ni octahedra,  a cornercorner with one O(6)Li2Co3Ni octahedra,  a cornercorner with one O(19)Li4CoNi octahedra,  a cornercorner with one O(10)Li4Ni2 octahedra, corners with two equivalent O(15)Li3Co2Ni octahedra,  an edgeedge with one O(1)Li2Co3Ni octahedra,  an edgeedge with one O(3)Li2Co3Ni octahedra,  an edgeedge with one O(4)Li2Co3Ni octahedra,  an edgeedge with one O(5)Li2Co3Ni octahedra,  an edgeedge with one O(17)Li4CoNi octahedra,  an edgeedge with one O(19)Li4CoNi octahedra,  an edgeedge with one O(20)Li4CoNi octahedra,  an edgeedge with one O(9)Li4Ni2 octahedra, edges with two equivalent O(7)Li2Co3Ni octahedra, and edges with two equivalent O(11)Li4Ni2 octahedra. The corner-sharing octahedral tilt angles range from 0-12°. In the fourteenth O site, O(14) is bonded to one Li(10), one Li(2), one Li(4), one Co(1), one Co(6), and one Ni(4) atom to form OLi3Co2Ni octahedra that share  a cornercorner with one O(4)Li2Co3Ni octahedra,  a cornercorner with one O(5)Li2Co3Ni octahedra,  a cornercorner with one O(20)Li4CoNi octahedra,  a cornercorner with one O(9)Li4Ni2 octahedra, corners with two equivalent O(16)Li3Co2Ni octahedra,  an edgeedge with one O(2)Li2Co3Ni octahedra,  an edgeedge with one O(3)Li2Co3Ni octahedra,  an edgeedge with one O(4)Li2Co3Ni octahedra,  an edgeedge with one O(6)Li2Co3Ni octahedra,  an edgeedge with one O(18)Li4CoNi octahedra,  an edgeedge with one O(19)Li4CoNi octahedra,  an edgeedge with one O(20)Li4CoNi octahedra,  an edgeedge with one O(10)Li4Ni2 octahedra, edges with two equivalent O(8)Li2Co3Ni octahedra, and edges with two equivalent O(12)Li4Ni2 octahedra. The corner-sharing octahedral tilt angles range from 1-16°. In the fifteenth O site, O(15) is bonded to one Li(1), one Li(5), one Li(7), one Co(2), one Co(4), and one Ni(1) atom to form OLi3Co2Ni octahedra that share  a cornercorner with one O(1)Li2Co3Ni octahedra,  a cornercorner with one O(8)Li2Co3Ni octahedra,  a cornercorner with one O(17)Li4CoNi octahedra,  a cornercorner with one O(12)Li4Ni2 octahedra, corners with two equivalent O(13)Li3Co2Ni octahedra,  an edgeedge with one O(1)Li2Co3Ni octahedra,  an edgeedge with one O(2)Li2Co3Ni octahedra,  an edgeedge with one O(3)Li2Co3Ni octahedra,  an edgeedge with one O(7)Li2Co3Ni octahedra,  an edgeedge with one O(17)Li4CoNi octahedra,  an edgeedge with one O(18)Li4CoNi octahedra,  an edgeedge with one O(19)Li4CoNi octahedra,  an edgeedge with one O(11)Li4Ni2 octahedra, edges with two equivalent O(5)Li2Co3Ni octahedra, and edges with two equivalent O(9)Li4Ni2 octahedra. The corner-sharing octahedral tilt angles range from 0-13°. In the sixteenth O site, O(16) is bonded to one Li(2), one Li(6), one Li(8), one Co(1), one Co(5), and one Ni(3) atom to form OLi3Co2Ni octahedra that share  a cornercorner with one O(2)Li2Co3Ni octahedra,  a cornercorner with one O(7)Li2Co3Ni octahedra,  a cornercorner with one O(18)Li4CoNi octahedra,  a cornercorner with one O(11)Li4Ni2 octahedra, corners with two equivalent O(14)Li3Co2Ni octahedra,  an edgeedge with one O(1)Li2Co3Ni octahedra,  an edgeedge with one O(2)Li2Co3Ni octahedra,  an edgeedge with one O(4)Li2Co3Ni octahedra,  an edgeedge with one O(8)Li2Co3Ni octahedra,  an edgeedge with one O(17)Li4CoNi octahedra,  an edgeedge with one O(18)Li4CoNi octahedra,  an edgeedge with one O(20)Li4CoNi octahedra,  an edgeedge with one O(12)Li4Ni2 octahedra, edges with two equivalent O(6)Li2Co3Ni octahedra, and edges with two equivalent O(10)Li4Ni2 octahedra. The corner-sharing octahedral tilt angles range from 1-16°. In the seventeenth O site, O(17) is bonded to one Li(1), one Li(3), one Li(6), one Li(8), one Co(2), and one Ni(1) atom to form OLi4CoNi octahedra that share  a cornercorner with one O(6)Li2Co3Ni octahedra,  a cornercorner with one O(15)Li3Co2Ni octahedra,  a cornercorner with one O(19)Li4CoNi octahedra,  a cornercorner with one O(10)Li4Ni2 octahedra, corners with two equivalent O(3)Li2Co3Ni octahedra,  an edgeedge with one O(5)Li2Co3Ni octahedra,  an edgeedge with one O(8)Li2Co3Ni octahedra,  an edgeedge with one O(13)Li3Co2Ni octahedra,  an edgeedge with one O(15)Li3Co2Ni octahedra,  an edgeedge with one O(16)Li3Co2Ni octahedra,  an edgeedge with one O(20)Li4CoNi octahedra,  an edgeedge with one O(10)Li4Ni2 octahedra,  an edgeedge with one O(9)Li4Ni2 octahedra, edges with two equivalent O(2)Li2Co3Ni octahedra, and edges with two equivalent O(11)Li4Ni2 octahedra. The corner-sharing octahedral tilt angles range from 0-9°. In the eighteenth O site, O(18) is bonded to one Li(2), one Li(4), one Li(5), one Li(7), one Co(5), and one Ni(3) atom to form OLi4CoNi octahedra that share  a cornercorner with one O(5)Li2Co3Ni octahedra,  a cornercorner with one O(16)Li3Co2Ni octahedra,  a cornercorner with one O(20)Li4CoNi octahedra,  a cornercorner with one O(9)Li4Ni2 octahedra, corners with two equivalent O(4)Li2Co3Ni octahedra,  an edgeedge with one O(6)Li2Co3Ni octahedra,  an edgeedge with one O(7)Li2Co3Ni octahedra,  an edgeedge with one O(14)Li3Co2Ni octahedra,  an edgeedge with one O(15)Li3Co2Ni octahedra,  an edgeedge with one O(16)Li3Co2Ni octahedra,  an edgeedge with one O(19)Li4CoNi octahedra,  an edgeedge with one O(10)Li4Ni2 octahedra,  an edgeedge with one O(9)Li4Ni2 octahedra, edges with two equivalent O(1)Li2Co3Ni octahedra, and edges with two equivalent O(12)Li4Ni2 octahedra. The corner-sharing octahedral tilt angles range from 1-11°. In the nineteenth O site, O(19) is bonded to one Li(1), one Li(10), one Li(4), one Li(5), one Co(3), and one Ni(2) atom to form OLi4CoNi octahedra that share  a cornercorner with one O(8)Li2Co3Ni octahedra,  a cornercorner with one O(13)Li3Co2Ni octahedra,  a cornercorner with one O(17)Li4CoNi octahedra,  a cornercorner with one O(12)Li4Ni2 octahedra, corners with two equivalent O(1)Li2Co3Ni octahedra,  an edgeedge with one O(6)Li2Co3Ni octahedra,  an edgeedge with one O(7)Li2Co3Ni octahedra,  an edgeedge with one O(13)Li3Co2Ni octahedra,  an edgeedge with one O(14)Li3Co2Ni octahedra,  an edgeedge with one O(15)Li3Co2Ni octahedra,  an edgeedge with one O(18)Li4CoNi octahedra,  an edgeedge with one O(11)Li4Ni2 octahedra,  an edgeedge with one O(12)Li4Ni2 octahedra, edges with two equivalent O(4)Li2Co3Ni octahedra, and edges with two equivalent O(9)Li4Ni2 octahedra. The corner-sharing octahedral tilt angles range from 0-9°. In the twentieth O site, O(20) is bonded to one Li(2), one Li(3), one Li(6), one Li(9), one Co(6), and one Ni(4) atom to form OLi4CoNi octahedra that share  a cornercorner with one O(7)Li2Co3Ni octahedra,  a cornercorner with one O(14)Li3Co2Ni octahedra,  a cornercorner with one O(18)Li4CoNi octahedra,  a cornercorner with one O(11)Li4Ni2 octahedra, corners with two equivalent O(2)Li2Co3Ni octahedra,  an edgeedge with one O(5)Li2Co3Ni octahedra,  an edgeedge with one O(8)Li2Co3Ni octahedra,  an edgeedge with one O(13)Li3Co2Ni octahedra,  an edgeedge with one O(14)Li3Co2Ni octahedra,  an edgeedge with one O(16)Li3Co2Ni octahedra,  an edgeedge with one O(17)Li4CoNi octahedra,  an edgeedge with one O(11)Li4Ni2 octahedra,  an edgeedge with one O(12)Li4Ni2 octahedra, edges with two equivalent O(3)Li2Co3Ni octahedra, and edges with two equivalent O(10)Li4Ni2 octahedra. The corner-sharing octahedral tilt angles range from 1-10°. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li5Co3(NiO5)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.080
_cell_length_b   5.114
_cell_length_c   7.714
_cell_angle_alpha   104.719
_cell_angle_beta   108.173
_cell_angle_gamma   98.240
_symmetry_Int_Tables_number   1
_cell_volume   178.680
_cell_formula_units_Z   1
loop_
 _symmetry_equiv_pos_site_id
 _symmetry_equiv_pos_as_xyz
  1  'x, y, z'
loop_
 _atom_site_type_symbol
 _atom_site_label
 _atom_site_symmetry_multiplicity
 _atom_site_fract_x
 _atom_site_fract_y
 _atom_site_fract_z
 _atom_site_occupancy
  Co  Co0  1  0.499  0.999  1.000  1.0
  Co  Co1  1  0.098  0.313  0.112  1.0
  Co  Co2  1  0.903  0.687  0.887  1.0
  Li  Li3  1  0.500  0.500  0.501  1.0
  Li  Li4  1  0.093  0.805  0.587  1.0
  Li  Li5  1  0.907  0.197  0.413  1.0
  Li  Li6  1  0.701  0.613  0.210  1.0
  Li  Li7  1  0.298  0.388  0.789  1.0
  Ni  Ni8  1  0.306  0.900  0.306  1.0
  Ni  Ni9  1  0.694  0.101  0.694  1.0
  O  O10  1  0.882  0.950  0.130  1.0
  O  O11  1  0.112  0.048  0.868  1.0
  O  O12  1  0.288  0.652  0.056  1.0
  O  O13  1  0.711  0.343  0.939  1.0
  O  O14  1  0.694  0.863  0.465  1.0
  O  O15  1  0.316  0.144  0.545  1.0
  O  O16  1  0.520  0.786  0.772  1.0
  O  O17  1  0.481  0.215  0.227  1.0
  O  O18  1  0.101  0.550  0.335  1.0
  O  O19  1  0.897  0.447  0.664  1.0
[/CIF]
.
The material structure described by Li5Co3(NiO5)2 is Caswellsilverite-derived structured and crystallizes in the triclinic P1 space group. There are ten inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(11), one O(13), one O(15), one O(17), one O(19), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Li(10)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Li(8)O6 octahedra, corners with two equivalent Co(4)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra, edges with two equivalent Ni(1)O6 octahedra, and edges with two equivalent Ni(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-11°. In the second Li site, Li(2) is bonded to one O(10), one O(12), one O(14), one O(16), one O(18), and one O(20) atom to form LiO6 octahedra that share  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(6)O6 octahedra,  a cornercorner with one Li(7)O6 octahedra,  a cornercorner with one Li(9)O6 octahedra, corners with two equivalent Co(1)O6 octahedra,  an edgeedge with one Li(10)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(6)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra, edges with two equivalent Ni(3)O6 octahedra, and edges with two equivalent Ni(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-9°. In the third Li site, Li(3) is bonded to one O(10), one O(11), one O(13), one O(17), one O(20), and one O(3) atom to form LiO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra,  a cornercorner with one Ni(3)O6 octahedra,  a cornercorner with one Ni(4)O6 octahedra, corners with two equivalent Co(2)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra,  an edgeedge with one Ni(1)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra,  an edgeedge with one Ni(4)O6 octahedra, edges with two equivalent Li(6)O6 octahedra, and edges with two equivalent Li(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-13°. In the fourth Li site, Li(4) is bonded to one O(12), one O(14), one O(18), one O(19), one O(4), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Co(6)O6 octahedra,  a cornercorner with one Ni(1)O6 octahedra,  a cornercorner with one Ni(2)O6 octahedra, corners with two equivalent Co(5)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra,  an edgeedge with one Ni(3)O6 octahedra,  an edgeedge with one Ni(4)O6 octahedra, edges with two equivalent Li(10)O6 octahedra, and edges with two equivalent Li(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-16°. In the fifth Li site, Li(5) is bonded to one O(1), one O(12), one O(15), one O(18), one O(19), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Ni(3)O6 octahedra,  a cornercorner with one Ni(4)O6 octahedra, corners with two equivalent Co(3)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(10)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Ni(1)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra,  an edgeedge with one Ni(3)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, and edges with two equivalent Li(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-13°. In the sixth Li site, Li(6) is bonded to one O(10), one O(11), one O(16), one O(17), one O(2), and one O(20) atom to form LiO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Co(5)O6 octahedra,  a cornercorner with one Ni(1)O6 octahedra,  a cornercorner with one Ni(2)O6 octahedra, corners with two 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(9)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Ni(1)O6 octahedra,  an edgeedge with one Ni(3)O6 octahedra,  an edgeedge with one Ni(4)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, and edges with two equivalent Li(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-17°. In the seventh Li site, Li(7) is bonded to one O(1), one O(15), one O(18), one O(5), one O(7), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Co(5)O6 octahedra,  a cornercorner with one Co(6)O6 octahedra,  a cornercorner with one Ni(1)O6 octahedra, corners with two equivalent Ni(2)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(9)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,  an edgeedge with one Ni(1)O6 octahedra,  an edgeedge with one Ni(3)O6 octahedra, edges with two equivalent Li(5)O6 octahedra, and edges with two equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-13°. In the eighth Li site, Li(8) is bonded to one O(10), one O(16), one O(17), one O(2), one O(6), and one O(8) atom to form LiO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra,  a cornercorner with one Ni(3)O6 octahedra, corners with two equivalent Ni(4)O6 octahedra,  an edgeedge with one Li(10)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra,  an edgeedge with one Ni(1)O6 octahedra,  an edgeedge with one Ni(3)O6 octahedra, edges with two equivalent Li(6)O6 octahedra, and edges with two equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-15°. In the ninth Li site, Li(9) is bonded to one O(11), one O(13), one O(20), one O(3), one O(5), and one O(7) atom to form LiO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Co(5)O6 octahedra,  a cornercorner with one Co(6)O6 octahedra,  a cornercorner with one Ni(2)O6 octahedra, corners with two equivalent Ni(1)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(2)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra,  an edgeedge with one Ni(4)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, and edges with two equivalent Co(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-12°. In the tenth Li site, Li(10) is bonded to one O(12), one O(14), one O(19), one O(4), one O(6), and one O(8) atom to form LiO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra,  a cornercorner with one Ni(4)O6 octahedra, corners with two equivalent Ni(3)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra,  an edgeedge with one Ni(4)O6 octahedra, edges with two equivalent Li(4)O6 octahedra, and edges with two equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-14°. There are six inequivalent Co sites. In the first Co site, Co(1) 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  a cornercorner with one Co(5)O6 octahedra,  a cornercorner with one Co(6)O6 octahedra,  a cornercorner with one Ni(1)O6 octahedra,  a cornercorner with one Ni(2)O6 octahedra, corners with two equivalent Li(2)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(6)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,  an edgeedge with one Co(6)O6 octahedra,  an edgeedge with one Ni(3)O6 octahedra,  an edgeedge with one Ni(4)O6 octahedra, edges with two equivalent Li(10)O6 octahedra, and edges with two equivalent Li(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-6°. In the second Co site, Co(2) is bonded to one O(15), one O(17), one O(2), one O(3), one O(5), and one O(8) atom to form CoO6 octahedra that share  a cornercorner with one Li(10)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Li(8)O6 octahedra,  a cornercorner with one Co(4)O6 octahedra, corners with two equivalent Li(3)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 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(4)O6 octahedra,  an edgeedge with one Ni(4)O6 octahedra, edges with two equivalent Co(6)O6 octahedra, and edges with two equivalent Ni(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-13°. In the third Co site, Co(3) is bonded to one O(1), one O(13), one O(19), one O(4), one O(6), and one O(7) atom to form CoO6 octahedra that share  a cornercorner with one Li(10)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(8)O6 octahedra,  a cornercorner with one Co(4)O6 octahedra, corners with two equivalent Li(5)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(10)O6 octahedra,  an edgeedge with one Li(4)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(4)O6 octahedra,  an edgeedge with one Ni(3)O6 octahedra, edges with two equivalent Co(5)O6 octahedra, and edges with two equivalent Ni(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-13°. In the fourth Co site, Co(4) 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  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra,  a cornercorner with one Ni(3)O6 octahedra,  a cornercorner with one Ni(4)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 Co(2)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 Ni(1)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra, edges with two equivalent Li(7)O6 octahedra, and edges with two equivalent Li(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-9°. In the fifth Co site, Co(5) is bonded to one O(1), one O(16), one O(18), one O(4), one O(6), and one O(7) atom to form CoO6 octahedra that share  a cornercorner with one Li(6)O6 octahedra,  a cornercorner with one Li(7)O6 octahedra,  a cornercorner with one Li(9)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra, corners with two equivalent Li(4)O6 octahedra,  an edgeedge with one Li(10)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, and edges with two equivalent Ni(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-17°. In the sixth Co site, Co(6) is bonded to one O(14), one O(2), one O(20), one O(3), one O(5), and one O(8) atom to form CoO6 octahedra that share  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(7)O6 octahedra,  a cornercorner with one Li(9)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra, corners with two equivalent Li(6)O6 octahedra,  an edgeedge with one Li(10)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Ni(1)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and edges with two equivalent Ni(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-16°. There are four inequivalent Ni sites. In the first Ni site, Ni(1) is bonded to one O(11), one O(15), one O(17), one O(2), one O(5), and one O(9) atom to form NiO6 octahedra that share  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(6)O6 octahedra,  a cornercorner with one Li(7)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra, corners with two equivalent Li(9)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(7)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(6)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, and edges with two equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-11°. In the second Ni site, Ni(2) is bonded to one O(11), one O(13), one O(19), one O(4), one O(7), and one O(9) atom to form NiO6 octahedra that share  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(6)O6 octahedra,  a cornercorner with one Li(9)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra, corners with two equivalent Li(7)O6 octahedra,  an edgeedge with one Li(10)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(9)O6 octahedra,  an edgeedge with one Co(4)O6 octahedra,  an edgeedge with one Co(5)O6 octahedra,  an edgeedge with one Ni(1)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, and edges with two equivalent Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-11°. In the third Ni site, Ni(3) is bonded to one O(1), one O(10), one O(12), one O(16), one O(18), and one O(6) atom to form NiO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Li(8)O6 octahedra,  a cornercorner with one Co(4)O6 octahedra, corners with two equivalent Li(10)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra,  an edgeedge with one Ni(4)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, and edges with two equivalent Co(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-15°. In the fourth Ni site, Ni(4) is bonded to one O(10), one O(12), one O(14), one O(20), one O(3), and one O(8) atom to form NiO6 octahedra that share  a cornercorner with one Li(10)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Co(4)O6 octahedra, corners with two equivalent Li(8)O6 octahedra,  an edgeedge with one Li(10)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra,  an edgeedge with one Ni(3)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, and edges with two equivalent Co(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-14°. There are twenty inequivalent O sites. In the first O site, O(1) is bonded to one Li(5), one Li(7), one Co(3), one Co(4), one Co(5), and one Ni(3) atom to form OLi2Co3Ni octahedra that share  a cornercorner with one O(3)Li2Co3Ni octahedra,  a cornercorner with one O(6)Li2Co3Ni octahedra,  a cornercorner with one O(15)Li3Co2Ni octahedra,  a cornercorner with one O(10)Li4Ni2 octahedra, corners with two equivalent O(19)Li4CoNi octahedra,  an edgeedge with one O(4)Li2Co3Ni octahedra,  an edgeedge with one O(5)Li2Co3Ni octahedra,  an edgeedge with one O(6)Li2Co3Ni octahedra,  an edgeedge with one O(13)Li3Co2Ni octahedra,  an edgeedge with one O(15)Li3Co2Ni octahedra,  an edgeedge with one O(16)Li3Co2Ni octahedra,  an edgeedge with one O(12)Li4Ni2 octahedra,  an edgeedge with one O(9)Li4Ni2 octahedra, edges with two equivalent O(7)Li2Co3Ni octahedra, and edges with two equivalent O(18)Li4CoNi octahedra. The corner-sharing octahedral tilt angles range from 0-13°. In the second O site, O(2) is bonded to one Li(6), one Li(8), one Co(1), one Co(2), one Co(6), and one Ni(1) atom to form OLi2Co3Ni octahedra that share  a cornercorner with one O(4)Li2Co3Ni octahedra,  a cornercorner with one O(5)Li2Co3Ni octahedra,  a cornercorner with one O(16)Li3Co2Ni octahedra,  a cornercorner with one O(9)Li4Ni2 octahedra, corners with two equivalent O(20)Li4CoNi octahedra,  an edgeedge with one O(3)Li2Co3Ni octahedra,  an edgeedge with one O(5)Li2Co3Ni octahedra,  an edgeedge with one O(6)Li2Co3Ni octahedra,  an edgeedge with one O(14)Li3Co2Ni octahedra,  an edgeedge with one O(15)Li3Co2Ni octahedra,  an edgeedge with one O(16)Li3Co2Ni octahedra,  an edgeedge with one O(10)Li4Ni2 octahedra,  an edgeedge with one O(11)Li4Ni2 octahedra, edges with two equivalent O(8)Li2Co3Ni octahedra, and edges with two equivalent O(17)Li4CoNi octahedra. The corner-sharing octahedral tilt angles range from 0-12°. In the third O site, O(3) is bonded to one Li(3), one Li(9), one Co(2), one Co(4), one Co(6), and one Ni(4) atom to form OLi2Co3Ni octahedra that share  a cornercorner with one O(1)Li2Co3Ni octahedra,  a cornercorner with one O(8)Li2Co3Ni octahedra,  a cornercorner with one O(13)Li3Co2Ni octahedra,  a cornercorner with one O(12)Li4Ni2 octahedra, corners with two equivalent O(17)Li4CoNi octahedra,  an edgeedge with one O(2)Li2Co3Ni octahedra,  an edgeedge with one O(7)Li2Co3Ni octahedra,  an edgeedge with one O(8)Li2Co3Ni octahedra,  an edgeedge with one O(13)Li3Co2Ni octahedra,  an edgeedge with one O(14)Li3Co2Ni octahedra,  an edgeedge with one O(15)Li3Co2Ni octahedra,  an edgeedge with one O(10)Li4Ni2 octahedra,  an edgeedge with one O(11)Li4Ni2 octahedra, edges with two equivalent O(5)Li2Co3Ni octahedra, and edges with two equivalent O(20)Li4CoNi octahedra. The corner-sharing octahedral tilt angles range from 0-12°. In the fourth O site, O(4) is bonded to one Li(10), one Li(4), one Co(1), one Co(3), one Co(5), and one Ni(2) atom to form OLi2Co3Ni octahedra that share  a cornercorner with one O(2)Li2Co3Ni octahedra,  a cornercorner with one O(7)Li2Co3Ni octahedra,  a cornercorner with one O(14)Li3Co2Ni octahedra,  a cornercorner with one O(11)Li4Ni2 octahedra, corners with two equivalent O(18)Li4CoNi octahedra,  an edgeedge with one O(1)Li2Co3Ni octahedra,  an edgeedge with one O(7)Li2Co3Ni octahedra,  an edgeedge with one O(8)Li2Co3Ni octahedra,  an edgeedge with one O(13)Li3Co2Ni octahedra,  an edgeedge with one O(14)Li3Co2Ni octahedra,  an edgeedge with one O(16)Li3Co2Ni octahedra,  an edgeedge with one O(12)Li4Ni2 octahedra,  an edgeedge with one O(9)Li4Ni2 octahedra, edges with two equivalent O(6)Li2Co3Ni octahedra, and edges with two equivalent O(19)Li4CoNi octahedra. The corner-sharing octahedral tilt angles range from 0-12°. In the fifth O site, O(5) is bonded to one Li(7), one Li(9), one Co(2), one Co(4), one Co(6), and one Ni(1) atom to form OLi2Co3Ni octahedra that share  a cornercorner with one O(2)Li2Co3Ni octahedra,  a cornercorner with one O(7)Li2Co3Ni octahedra,  a cornercorner with one O(14)Li3Co2Ni octahedra,  a cornercorner with one O(18)Li4CoNi octahedra, corners with two equivalent O(11)Li4Ni2 octahedra,  an edgeedge with one O(1)Li2Co3Ni octahedra,  an edgeedge with one O(2)Li2Co3Ni octahedra,  an edgeedge with one O(7)Li2Co3Ni octahedra,  an edgeedge with one O(8)Li2Co3Ni octahedra,  an edgeedge with one O(13)Li3Co2Ni octahedra,  an edgeedge with one O(17)Li4CoNi octahedra,  an edgeedge with one O(20)Li4CoNi octahedra,  an edgeedge with one O(9)Li4Ni2 octahedra, edges with two equivalent O(3)Li2Co3Ni octahedra, and edges with two equivalent O(15)Li3Co2Ni octahedra. The corner-sharing octahedral tilt angles range from 0-16°. In the sixth O site, O(6) is bonded to one Li(10), one Li(8), one Co(1), one Co(3), one Co(5), and one Ni(3) atom to form OLi2Co3Ni octahedra that share  a cornercorner with one O(1)Li2Co3Ni octahedra,  a cornercorner with one O(8)Li2Co3Ni octahedra,  a cornercorner with one O(13)Li3Co2Ni octahedra,  a cornercorner with one O(17)Li4CoNi octahedra, corners with two equivalent O(12)Li4Ni2 octahedra,  an edgeedge with one O(1)Li2Co3Ni octahedra,  an edgeedge with one O(2)Li2Co3Ni octahedra,  an edgeedge with one O(7)Li2Co3Ni octahedra,  an edgeedge with one O(8)Li2Co3Ni octahedra,  an edgeedge with one O(14)Li3Co2Ni octahedra,  an edgeedge with one O(18)Li4CoNi octahedra,  an edgeedge with one O(19)Li4CoNi octahedra,  an edgeedge with one O(10)Li4Ni2 octahedra, edges with two equivalent O(4)Li2Co3Ni octahedra, and edges with two equivalent O(16)Li3Co2Ni octahedra. The corner-sharing octahedral tilt angles range from 1-10°. In the seventh O site, O(7) is bonded to one Li(7), one Li(9), one Co(3), one Co(4), one Co(5), and one Ni(2) atom to form OLi2Co3Ni octahedra that share  a cornercorner with one O(4)Li2Co3Ni octahedra,  a cornercorner with one O(5)Li2Co3Ni octahedra,  a cornercorner with one O(16)Li3Co2Ni octahedra,  a cornercorner with one O(20)Li4CoNi octahedra, corners with two equivalent O(9)Li4Ni2 octahedra,  an edgeedge with one O(3)Li2Co3Ni octahedra,  an edgeedge with one O(4)Li2Co3Ni octahedra,  an edgeedge with one O(5)Li2Co3Ni octahedra,  an edgeedge with one O(6)Li2Co3Ni octahedra,  an edgeedge with one O(15)Li3Co2Ni octahedra,  an edgeedge with one O(18)Li4CoNi octahedra,  an edgeedge with one O(19)Li4CoNi octahedra,  an edgeedge with one O(11)Li4Ni2 octahedra, edges with two equivalent O(1)Li2Co3Ni octahedra, and edges with two equivalent O(13)Li3Co2Ni octahedra. The corner-sharing octahedral tilt angles range from 0-16°. In the eighth O site, O(8) is bonded to one Li(10), one Li(8), one Co(1), one Co(2), one Co(6), and one Ni(4) atom to form OLi2Co3Ni octahedra that share  a cornercorner with one O(3)Li2Co3Ni octahedra,  a cornercorner with one O(6)Li2Co3Ni octahedra,  a cornercorner with one O(15)Li3Co2Ni octahedra,  a cornercorner with one O(19)Li4CoNi octahedra, corners with two equivalent O(10)Li4Ni2 octahedra,  an edgeedge with one O(3)Li2Co3Ni octahedra,  an edgeedge with one O(4)Li2Co3Ni octahedra,  an edgeedge with one O(5)Li2Co3Ni octahedra,  an edgeedge with one O(6)Li2Co3Ni octahedra,  an edgeedge with one O(16)Li3Co2Ni octahedra,  an edgeedge with one O(17)Li4CoNi octahedra,  an edgeedge with one O(20)Li4CoNi octahedra,  an edgeedge with one O(12)Li4Ni2 octahedra, edges with two equivalent O(2)Li2Co3Ni octahedra, and edges with two equivalent O(14)Li3Co2Ni octahedra. The corner-sharing octahedral tilt angles range from 1-12°. In the ninth O site, O(9) is bonded to one Li(1), one Li(4), one Li(5), one Li(7), one Ni(1), and one Ni(2) atom to form OLi4Ni2 octahedra that share  a cornercorner with one O(2)Li2Co3Ni octahedra,  a cornercorner with one O(14)Li3Co2Ni octahedra,  a cornercorner with one O(18)Li4CoNi octahedra,  a cornercorner with one O(11)Li4Ni2 octahedra, corners with two equivalent O(7)Li2Co3Ni octahedra,  an edgeedge with one O(1)Li2Co3Ni octahedra,  an edgeedge with one O(4)Li2Co3Ni octahedra,  an edgeedge with one O(5)Li2Co3Ni octahedra,  an edgeedge with one O(13)Li3Co2Ni octahedra,  an edgeedge with one O(17)Li4CoNi octahedra,  an edgeedge with one O(18)Li4CoNi octahedra,  an edgeedge with one O(11)Li4Ni2 octahedra,  an edgeedge with one O(12)Li4Ni2 octahedra, edges with two equivalent O(15)Li3Co2Ni octahedra, and edges with two equivalent O(19)Li4CoNi octahedra. The corner-sharing octahedral tilt angles range from 0-12°. In the tenth O site, O(10) is bonded to one Li(2), one Li(3), one Li(6), one Li(8), one Ni(3), and one Ni(4) atom to form OLi4Ni2 octahedra that share  a cornercorner with one O(1)Li2Co3Ni octahedra,  a cornercorner with one O(13)Li3Co2Ni octahedra,  a cornercorner with one O(17)Li4CoNi octahedra,  a cornercorner with one O(12)Li4Ni2 octahedra, corners with two equivalent O(8)Li2Co3Ni octahedra,  an edgeedge with one O(2)Li2Co3Ni octahedra,  an edgeedge with one O(3)Li2Co3Ni octahedra,  an edgeedge with one O(6)Li2Co3Ni octahedra,  an edgeedge with one O(14)Li3Co2Ni octahedra,  an edgeedge with one O(17)Li4CoNi octahedra,  an edgeedge with one O(18)Li4CoNi octahedra,  an edgeedge with one O(11)Li4Ni2 octahedra,  an edgeedge with one O(12)Li4Ni2 octahedra, edges with two equivalent O(16)Li3Co2Ni octahedra, and edges with two equivalent O(20)Li4CoNi octahedra. The corner-sharing octahedral tilt angles range from 1-10°. In the eleventh O site, O(11) is bonded to one Li(1), one Li(3), one Li(6), one Li(9), one Ni(1), and one Ni(2) atom to form OLi4Ni2 octahedra that share  a cornercorner with one O(4)Li2Co3Ni octahedra,  a cornercorner with one O(16)Li3Co2Ni octahedra,  a cornercorner with one O(20)Li4CoNi octahedra,  a cornercorner with one O(9)Li4Ni2 octahedra, corners with two equivalent O(5)Li2Co3Ni octahedra,  an edgeedge with one O(2)Li2Co3Ni octahedra,  an edgeedge with one O(3)Li2Co3Ni octahedra,  an edgeedge with one O(7)Li2Co3Ni octahedra,  an edgeedge with one O(15)Li3Co2Ni octahedra,  an edgeedge with one O(19)Li4CoNi octahedra,  an edgeedge with one O(20)Li4CoNi octahedra,  an edgeedge with one O(10)Li4Ni2 octahedra,  an edgeedge with one O(9)Li4Ni2 octahedra, edges with two equivalent O(13)Li3Co2Ni octahedra, and edges with two equivalent O(17)Li4CoNi octahedra. The corner-sharing octahedral tilt angles range from 0-13°. In the twelfth O site, O(12) is bonded to one Li(10), one Li(2), one Li(4), one Li(5), one Ni(3), and one Ni(4) atom to form OLi4Ni2 octahedra that share  a cornercorner with one O(3)Li2Co3Ni octahedra,  a cornercorner with one O(15)Li3Co2Ni octahedra,  a cornercorner with one O(19)Li4CoNi octahedra,  a cornercorner with one O(10)Li4Ni2 octahedra, corners with two equivalent O(6)Li2Co3Ni octahedra,  an edgeedge with one O(1)Li2Co3Ni octahedra,  an edgeedge with one O(4)Li2Co3Ni octahedra,  an edgeedge with one O(8)Li2Co3Ni octahedra,  an edgeedge with one O(16)Li3Co2Ni octahedra,  an edgeedge with one O(19)Li4CoNi octahedra,  an edgeedge with one O(20)Li4CoNi octahedra,  an edgeedge with one O(10)Li4Ni2 octahedra,  an edgeedge with one O(9)Li4Ni2 octahedra, edges with two equivalent O(14)Li3Co2Ni octahedra, and edges with two equivalent O(18)Li4CoNi octahedra. The corner-sharing octahedral tilt angles range from 1-9°. In the thirteenth O site, O(13) is bonded to one Li(1), one Li(3), one Li(9), one Co(3), one Co(4), and one Ni(2) atom to form OLi3Co2Ni octahedra that share  a cornercorner with one O(3)Li2Co3Ni octahedra,  a cornercorner with one O(6)Li2Co3Ni octahedra,  a cornercorner with one O(19)Li4CoNi octahedra,  a cornercorner with one O(10)Li4Ni2 octahedra, corners with two equivalent O(15)Li3Co2Ni octahedra,  an edgeedge with one O(1)Li2Co3Ni octahedra,  an edgeedge with one O(3)Li2Co3Ni octahedra,  an edgeedge with one O(4)Li2Co3Ni octahedra,  an edgeedge with one O(5)Li2Co3Ni octahedra,  an edgeedge with one O(17)Li4CoNi octahedra,  an edgeedge with one O(19)Li4CoNi octahedra,  an edgeedge with one O(20)Li4CoNi octahedra,  an edgeedge with one O(9)Li4Ni2 octahedra, edges with two equivalent O(7)Li2Co3Ni octahedra, and edges with two equivalent O(11)Li4Ni2 octahedra. The corner-sharing octahedral tilt angles range from 0-12°. In the fourteenth O site, O(14) is bonded to one Li(10), one Li(2), one Li(4), one Co(1), one Co(6), and one Ni(4) atom to form OLi3Co2Ni octahedra that share  a cornercorner with one O(4)Li2Co3Ni octahedra,  a cornercorner with one O(5)Li2Co3Ni octahedra,  a cornercorner with one O(20)Li4CoNi octahedra,  a cornercorner with one O(9)Li4Ni2 octahedra, corners with two equivalent O(16)Li3Co2Ni octahedra,  an edgeedge with one O(2)Li2Co3Ni octahedra,  an edgeedge with one O(3)Li2Co3Ni octahedra,  an edgeedge with one O(4)Li2Co3Ni octahedra,  an edgeedge with one O(6)Li2Co3Ni octahedra,  an edgeedge with one O(18)Li4CoNi octahedra,  an edgeedge with one O(19)Li4CoNi octahedra,  an edgeedge with one O(20)Li4CoNi octahedra,  an edgeedge with one O(10)Li4Ni2 octahedra, edges with two equivalent O(8)Li2Co3Ni octahedra, and edges with two equivalent O(12)Li4Ni2 octahedra. The corner-sharing octahedral tilt angles range from 1-16°. In the fifteenth O site, O(15) is bonded to one Li(1), one Li(5), one Li(7), one Co(2), one Co(4), and one Ni(1) atom to form OLi3Co2Ni octahedra that share  a cornercorner with one O(1)Li2Co3Ni octahedra,  a cornercorner with one O(8)Li2Co3Ni octahedra,  a cornercorner with one O(17)Li4CoNi octahedra,  a cornercorner with one O(12)Li4Ni2 octahedra, corners with two equivalent O(13)Li3Co2Ni octahedra,  an edgeedge with one O(1)Li2Co3Ni octahedra,  an edgeedge with one O(2)Li2Co3Ni octahedra,  an edgeedge with one O(3)Li2Co3Ni octahedra,  an edgeedge with one O(7)Li2Co3Ni octahedra,  an edgeedge with one O(17)Li4CoNi octahedra,  an edgeedge with one O(18)Li4CoNi octahedra,  an edgeedge with one O(19)Li4CoNi octahedra,  an edgeedge with one O(11)Li4Ni2 octahedra, edges with two equivalent O(5)Li2Co3Ni octahedra, and edges with two equivalent O(9)Li4Ni2 octahedra. The corner-sharing octahedral tilt angles range from 0-13°. In the sixteenth O site, O(16) is bonded to one Li(2), one Li(6), one Li(8), one Co(1), one Co(5), and one Ni(3) atom to form OLi3Co2Ni octahedra that share  a cornercorner with one O(2)Li2Co3Ni octahedra,  a cornercorner with one O(7)Li2Co3Ni octahedra,  a cornercorner with one O(18)Li4CoNi octahedra,  a cornercorner with one O(11)Li4Ni2 octahedra, corners with two equivalent O(14)Li3Co2Ni octahedra,  an edgeedge with one O(1)Li2Co3Ni octahedra,  an edgeedge with one O(2)Li2Co3Ni octahedra,  an edgeedge with one O(4)Li2Co3Ni octahedra,  an edgeedge with one O(8)Li2Co3Ni octahedra,  an edgeedge with one O(17)Li4CoNi octahedra,  an edgeedge with one O(18)Li4CoNi octahedra,  an edgeedge with one O(20)Li4CoNi octahedra,  an edgeedge with one O(12)Li4Ni2 octahedra, edges with two equivalent O(6)Li2Co3Ni octahedra, and edges with two equivalent O(10)Li4Ni2 octahedra. The corner-sharing octahedral tilt angles range from 1-16°. In the seventeenth O site, O(17) is bonded to one Li(1), one Li(3), one Li(6), one Li(8), one Co(2), and one Ni(1) atom to form OLi4CoNi octahedra that share  a cornercorner with one O(6)Li2Co3Ni octahedra,  a cornercorner with one O(15)Li3Co2Ni octahedra,  a cornercorner with one O(19)Li4CoNi octahedra,  a cornercorner with one O(10)Li4Ni2 octahedra, corners with two equivalent O(3)Li2Co3Ni octahedra,  an edgeedge with one O(5)Li2Co3Ni octahedra,  an edgeedge with one O(8)Li2Co3Ni octahedra,  an edgeedge with one O(13)Li3Co2Ni octahedra,  an edgeedge with one O(15)Li3Co2Ni octahedra,  an edgeedge with one O(16)Li3Co2Ni octahedra,  an edgeedge with one O(20)Li4CoNi octahedra,  an edgeedge with one O(10)Li4Ni2 octahedra,  an edgeedge with one O(9)Li4Ni2 octahedra, edges with two equivalent O(2)Li2Co3Ni octahedra, and edges with two equivalent O(11)Li4Ni2 octahedra. The corner-sharing octahedral tilt angles range from 0-9°. In the eighteenth O site, O(18) is bonded to one Li(2), one Li(4), one Li(5), one Li(7), one Co(5), and one Ni(3) atom to form OLi4CoNi octahedra that share  a cornercorner with one O(5)Li2Co3Ni octahedra,  a cornercorner with one O(16)Li3Co2Ni octahedra,  a cornercorner with one O(20)Li4CoNi octahedra,  a cornercorner with one O(9)Li4Ni2 octahedra, corners with two equivalent O(4)Li2Co3Ni octahedra,  an edgeedge with one O(6)Li2Co3Ni octahedra,  an edgeedge with one O(7)Li2Co3Ni octahedra,  an edgeedge with one O(14)Li3Co2Ni octahedra,  an edgeedge with one O(15)Li3Co2Ni octahedra,  an edgeedge with one O(16)Li3Co2Ni octahedra,  an edgeedge with one O(19)Li4CoNi octahedra,  an edgeedge with one O(10)Li4Ni2 octahedra,  an edgeedge with one O(9)Li4Ni2 octahedra, edges with two equivalent O(1)Li2Co3Ni octahedra, and edges with two equivalent O(12)Li4Ni2 octahedra. The corner-sharing octahedral tilt angles range from 1-11°. In the nineteenth O site, O(19) is bonded to one Li(1), one Li(10), one Li(4), one Li(5), one Co(3), and one Ni(2) atom to form OLi4CoNi octahedra that share  a cornercorner with one O(8)Li2Co3Ni octahedra,  a cornercorner with one O(13)Li3Co2Ni octahedra,  a cornercorner with one O(17)Li4CoNi octahedra,  a cornercorner with one O(12)Li4Ni2 octahedra, corners with two equivalent O(1)Li2Co3Ni octahedra,  an edgeedge with one O(6)Li2Co3Ni octahedra,  an edgeedge with one O(7)Li2Co3Ni octahedra,  an edgeedge with one O(13)Li3Co2Ni octahedra,  an edgeedge with one O(14)Li3Co2Ni octahedra,  an edgeedge with one O(15)Li3Co2Ni octahedra,  an edgeedge with one O(18)Li4CoNi octahedra,  an edgeedge with one O(11)Li4Ni2 octahedra,  an edgeedge with one O(12)Li4Ni2 octahedra, edges with two equivalent O(4)Li2Co3Ni octahedra, and edges with two equivalent O(9)Li4Ni2 octahedra. The corner-sharing octahedral tilt angles range from 0-9°. In the twentieth O site, O(20) is bonded to one Li(2), one Li(3), one Li(6), one Li(9), one Co(6), and one Ni(4) atom to form OLi4CoNi octahedra that share  a cornercorner with one O(7)Li2Co3Ni octahedra,  a cornercorner with one O(14)Li3Co2Ni octahedra,  a cornercorner with one O(18)Li4CoNi octahedra,  a cornercorner with one O(11)Li4Ni2 octahedra, corners with two equivalent O(2)Li2Co3Ni octahedra,  an edgeedge with one O(5)Li2Co3Ni octahedra,  an edgeedge with one O(8)Li2Co3Ni octahedra,  an edgeedge with one O(13)Li3Co2Ni octahedra,  an edgeedge with one O(14)Li3Co2Ni octahedra,  an edgeedge with one O(16)Li3Co2Ni octahedra,  an edgeedge with one O(17)Li4CoNi octahedra,  an edgeedge with one O(11)Li4Ni2 octahedra,  an edgeedge with one O(12)Li4Ni2 octahedra, edges with two equivalent O(3)Li2Co3Ni octahedra, and edges with two equivalent O(10)Li4Ni2 octahedra. The corner-sharing octahedral tilt angles range from 1-10°. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li5Co3(NiO5)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.080
_cell_length_b   5.114
_cell_length_c   7.714
_cell_angle_alpha   104.719
_cell_angle_beta   108.173
_cell_angle_gamma   98.240
_symmetry_Int_Tables_number   1
_cell_volume   178.680
_cell_formula_units_Z   1
loop_
 _symmetry_equiv_pos_site_id
 _symmetry_equiv_pos_as_xyz
  1  'x, y, z'
loop_
 _atom_site_type_symbol
 _atom_site_label
 _atom_site_symmetry_multiplicity
 _atom_site_fract_x
 _atom_site_fract_y
 _atom_site_fract_z
 _atom_site_occupancy
  Co  Co0  1  0.499  0.999  1.000  1.0
  Co  Co1  1  0.098  0.313  0.112  1.0
  Co  Co2  1  0.903  0.687  0.887  1.0
  Li  Li3  1  0.500  0.500  0.501  1.0
  Li  Li4  1  0.093  0.805  0.587  1.0
  Li  Li5  1  0.907  0.197  0.413  1.0
  Li  Li6  1  0.701  0.613  0.210  1.0
  Li  Li7  1  0.298  0.388  0.789  1.0
  Ni  Ni8  1  0.306  0.900  0.306  1.0
  Ni  Ni9  1  0.694  0.101  0.694  1.0
  O  O10  1  0.882  0.950  0.130  1.0
  O  O11  1  0.112  0.048  0.868  1.0
  O  O12  1  0.288  0.652  0.056  1.0
  O  O13  1  0.711  0.343  0.939  1.0
  O  O14  1  0.694  0.863  0.465  1.0
  O  O15  1  0.316  0.144  0.545  1.0
  O  O16  1  0.520  0.786  0.772  1.0
  O  O17  1  0.481  0.215  0.227  1.0
  O  O18  1  0.101  0.550  0.335  1.0
  O  O19  1  0.897  0.447  0.664  1.0
[/CIF]
.