Li9Mg(Ni6O13)2 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(22), one O(23), one O(26), one O(4), and one O(5) atom to form LiO6 octahedra that share  a cornercorner with one Ni(4)O6 octahedra,  a cornercorner with one Ni(5)O6 octahedra,  a cornercorner with one Ni(8)O6 octahedra,  a cornercorner with one Ni(9)O6 octahedra, corners with two equivalent Mg(1)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 Ni(1)O6 octahedra,  an edgeedge with one Ni(10)O6 octahedra,  an edgeedge with one Ni(11)O6 octahedra,  an edgeedge with one Ni(12)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra, and  an edgeedge with one Ni(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-16°. In the second Li site, Li(2) is bonded to one O(11), one O(2), one O(20), one O(25), one O(3), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Ni(11)O6 octahedra,  a cornercorner with one Ni(6)O6 octahedra,  a cornercorner with one Ni(7)O6 octahedra,  a cornercorner with one Ni(8)O6 octahedra, corners with two equivalent Ni(1)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Ni(10)O6 octahedra,  an edgeedge with one Ni(12)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra,  an edgeedge with one Ni(3)O6 octahedra, and  an edgeedge with one Ni(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-11°. In the third Li site, Li(3) is bonded to one O(10), one O(11), one O(17), one O(2), one O(6), and one O(7) atom to form distorted LiO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Ni(10)O6 octahedra,  a cornercorner with one Ni(11)O6 octahedra,  a cornercorner with one Ni(6)O6 octahedra, corners with two equivalent Ni(4)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 Ni(1)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra,  an edgeedge with one Ni(3)O6 octahedra,  an edgeedge with one Ni(5)O6 octahedra,  an edgeedge with one Ni(7)O6 octahedra, and  an edgeedge with one Ni(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-13°. In the fourth Li site, Li(4) is bonded to one O(12), one O(14), one O(15), one O(4), one O(5), and one O(8) atom to form LiO6 octahedra that share  a cornercorner with one Ni(1)O6 octahedra,  a cornercorner with one Ni(10)O6 octahedra,  a cornercorner with one Ni(12)O6 octahedra,  a cornercorner with one Ni(9)O6 octahedra, corners with two equivalent Ni(7)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(7)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,  an edgeedge with one Ni(5)O6 octahedra,  an edgeedge with one Ni(6)O6 octahedra, and  an edgeedge with one Ni(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-13°. In the fifth Li site, Li(5) is bonded to one O(14), one O(16), one O(17), one O(18), one O(6), and one O(8) atom to form LiO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Ni(1)O6 octahedra,  a cornercorner with one Ni(10)O6 octahedra,  a cornercorner with one Ni(2)O6 octahedra, corners with two equivalent Ni(8)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Ni(11)O6 octahedra,  an edgeedge with one Ni(4)O6 octahedra,  an edgeedge with one Ni(5)O6 octahedra,  an edgeedge with one Ni(6)O6 octahedra,  an edgeedge with one Ni(7)O6 octahedra, and  an edgeedge with one Ni(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-14°. In the sixth Li site, Li(6) is bonded to one O(10), one O(11), one O(13), one O(19), one O(21), and one O(9) atom to form distorted LiO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Ni(11)O6 octahedra,  a cornercorner with one Ni(12)O6 octahedra,  a cornercorner with one Ni(3)O6 octahedra, corners with two equivalent Ni(5)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra,  an edgeedge with one Ni(4)O6 octahedra,  an edgeedge with one Ni(6)O6 octahedra,  an edgeedge with one Ni(7)O6 octahedra,  an edgeedge with one Ni(8)O6 octahedra, and  an edgeedge with one Ni(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-20°. In the seventh Li site, Li(7) is bonded to one O(1), one O(14), one O(15), one O(18), one O(22), and one O(24) atom to form LiO6 octahedra that share  a cornercorner with one Ni(1)O6 octahedra,  a cornercorner with one Ni(2)O6 octahedra,  a cornercorner with one Ni(4)O6 octahedra,  a cornercorner with one Ni(5)O6 octahedra, corners with two equivalent Ni(11)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 Mg(1)O6 octahedra,  an edgeedge with one Ni(10)O6 octahedra,  an edgeedge with one Ni(12)O6 octahedra,  an edgeedge with one Ni(6)O6 octahedra,  an edgeedge with one Ni(8)O6 octahedra, and  an edgeedge with one Ni(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-14°. In the eighth Li site, Li(8) is bonded to one O(16), one O(18), one O(2), one O(24), one O(25), and one O(7) atom to form LiO6 octahedra that share  a cornercorner with one Ni(2)O6 octahedra,  a cornercorner with one Ni(5)O6 octahedra,  a cornercorner with one Ni(6)O6 octahedra,  a cornercorner with one Ni(7)O6 octahedra, corners with two equivalent Ni(12)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Ni(1)O6 octahedra,  an edgeedge with one Ni(10)O6 octahedra,  an edgeedge with one Ni(11)O6 octahedra,  an edgeedge with one Ni(3)O6 octahedra, and  an edgeedge with one Ni(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-11°. In the ninth Li site, Li(9) is bonded to one O(19), one O(20), one O(21), one O(23), one O(26), and one O(3) atom to form LiO6 octahedra that share  a cornercorner with one Ni(3)O6 octahedra,  a cornercorner with one Ni(4)O6 octahedra,  a cornercorner with one Ni(7)O6 octahedra,  a cornercorner with one Ni(8)O6 octahedra, corners with two equivalent Ni(10)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Ni(1)O6 octahedra,  an edgeedge with one Ni(11)O6 octahedra,  an edgeedge with one Ni(12)O6 octahedra,  an edgeedge with one Ni(6)O6 octahedra, and  an edgeedge with one Ni(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-11°. Mg(1) is bonded to one O(1), one O(18), one O(20), one O(26), one O(7), and one O(9) atom to form MgO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Li(6)O6 octahedra, corners with two equivalent 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 Ni(10)O6 octahedra,  an edgeedge with one Ni(11)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra,  an edgeedge with one Ni(3)O6 octahedra,  an edgeedge with one Ni(6)O6 octahedra, and  an edgeedge with one Ni(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-16°. There are twelve inequivalent Ni sites. In the first Ni site, Ni(1) is bonded to one O(2), one O(23), one O(24), one O(3), one O(5), and one O(6) atom to form NiO6 octahedra that share  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Li(7)O6 octahedra, corners with two equivalent Li(2)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 Li(9)O6 octahedra,  an edgeedge with one Ni(10)O6 octahedra,  an edgeedge with one Ni(12)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra,  an edgeedge with one Ni(4)O6 octahedra,  an edgeedge with one Ni(5)O6 octahedra, and  an edgeedge with one Ni(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-12°. In the second Ni site, Ni(2) is bonded to one O(1), one O(10), one O(2), one O(5), one O(8), and one O(9) atom to form NiO6 octahedra that share  a cornercorner with one Li(5)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(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Ni(1)O6 octahedra,  an edgeedge with one Ni(10)O6 octahedra,  an edgeedge with one Ni(5)O6 octahedra,  an edgeedge with one Ni(6)O6 octahedra, and  an edgeedge with one Ni(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-14°. In the third Ni site, Ni(3) is bonded to one O(11), one O(12), one O(25), one O(26), one O(4), and one O(7) atom to form NiO6 octahedra that share  a cornercorner with one Li(6)O6 octahedra,  a cornercorner with one Li(9)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(4)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Ni(11)O6 octahedra,  an edgeedge with one Ni(12)O6 octahedra,  an edgeedge with one Ni(4)O6 octahedra,  an edgeedge with one Ni(7)O6 octahedra, and  an edgeedge with one Ni(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-10°. In the fourth Ni site, Ni(4) is bonded to one O(11), one O(13), one O(14), one O(3), one O(4), and one O(6) atom to form NiO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(7)O6 octahedra,  a cornercorner with one Li(9)O6 octahedra, corners with two equivalent Li(3)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Ni(1)O6 octahedra,  an edgeedge with one Ni(12)O6 octahedra,  an edgeedge with one Ni(3)O6 octahedra,  an edgeedge with one Ni(5)O6 octahedra,  an edgeedge with one Ni(8)O6 octahedra, and  an edgeedge with one Ni(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-12°. In the fifth Ni site, Ni(5) is bonded to one O(10), one O(13), one O(15), one O(16), one O(5), and one O(6) atom to form NiO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(7)O6 octahedra,  a cornercorner with one Li(8)O6 octahedra, corners with two equivalent Li(6)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 Ni(1)O6 octahedra,  an edgeedge with one Ni(10)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra,  an edgeedge with one Ni(4)O6 octahedra,  an edgeedge with one Ni(6)O6 octahedra, and  an edgeedge with one Ni(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-20°. In the sixth Ni site, Ni(6) is bonded to one O(10), one O(15), one O(18), one O(19), one O(20), and one O(8) atom to form NiO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(8)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 Mg(1)O6 octahedra,  an edgeedge with one Ni(10)O6 octahedra,  an edgeedge with one Ni(11)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra,  an edgeedge with one Ni(5)O6 octahedra, and  an edgeedge with one Ni(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-9°. In the seventh Ni site, Ni(7) is bonded to one O(12), one O(17), one O(19), one O(7), one O(8), and one O(9) atom to form NiO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(8)O6 octahedra,  a cornercorner with one Li(9)O6 octahedra, corners with two equivalent Li(4)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 Mg(1)O6 octahedra,  an edgeedge with one Ni(11)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra,  an edgeedge with one Ni(3)O6 octahedra,  an edgeedge with one Ni(6)O6 octahedra, and  an edgeedge with one Ni(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-12°. In the eighth Ni site, Ni(8) is bonded to one O(11), one O(12), one O(14), one O(17), one O(21), and one O(22) atom to form NiO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(9)O6 octahedra, corners with two equivalent Li(5)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(7)O6 octahedra,  an edgeedge with one Ni(11)O6 octahedra,  an edgeedge with one Ni(12)O6 octahedra,  an edgeedge with one Ni(3)O6 octahedra,  an edgeedge with one Ni(4)O6 octahedra,  an edgeedge with one Ni(7)O6 octahedra, and  an edgeedge with one Ni(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-14°. In the ninth Ni site, Ni(9) is bonded to one O(13), one O(14), one O(16), one O(21), one O(23), and one O(24) atom to form NiO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner 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 Li(9)O6 octahedra,  an edgeedge with one Ni(1)O6 octahedra,  an edgeedge with one Ni(10)O6 octahedra,  an edgeedge with one Ni(12)O6 octahedra,  an edgeedge with one Ni(4)O6 octahedra,  an edgeedge with one Ni(5)O6 octahedra, and  an edgeedge with one Ni(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-12°. In the tenth Ni site, Ni(10) is bonded to one O(1), one O(15), one O(16), one O(2), one O(20), and one O(23) atom to form NiO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra, corners with two equivalent Li(9)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 Mg(1)O6 octahedra,  an edgeedge with one Ni(1)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra,  an edgeedge with one Ni(5)O6 octahedra,  an edgeedge with one Ni(6)O6 octahedra, and  an edgeedge with one Ni(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-13°. In the eleventh Ni site, Ni(11) is bonded to one O(17), one O(18), one O(19), one O(22), one O(25), and one O(26) atom to form NiO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(6)O6 octahedra, corners with two equivalent Li(7)O6 octahedra,  an edgeedge with one Li(1)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 Mg(1)O6 octahedra,  an edgeedge with one Ni(12)O6 octahedra,  an edgeedge with one Ni(3)O6 octahedra,  an edgeedge with one Ni(6)O6 octahedra,  an edgeedge with one Ni(7)O6 octahedra, and  an edgeedge with one Ni(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-14°. In the twelfth Ni site, Ni(12) is bonded to one O(21), one O(22), one O(24), one O(25), one O(3), and one O(4) atom to form NiO6 octahedra that share  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(6)O6 octahedra, corners with two equivalent 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(7)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Ni(1)O6 octahedra,  an edgeedge with one Ni(11)O6 octahedra,  an edgeedge with one Ni(3)O6 octahedra,  an edgeedge with one Ni(4)O6 octahedra,  an edgeedge with one Ni(8)O6 octahedra, and  an edgeedge with one Ni(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-10°. There are twenty-six inequivalent O sites. In the first O site, O(1) is bonded to one Li(1), one Li(7), one Mg(1), one Ni(10), and one Ni(2) atom to form OLi2MgNi2 square pyramids that share  a cornercorner with one O(14)Li3Ni3 octahedra,  a cornercorner with one O(7)Li2MgNi2 square pyramid,  a cornercorner with one O(10)Li2Ni3 square pyramid,  a cornercorner with one O(16)Li2Ni3 square pyramid,  a cornercorner with one O(24)Li2Ni3 square pyramid,  a cornercorner with one O(4)Li2Ni3 square pyramid,  a cornercorner with one O(8)Li2Ni3 square pyramid, corners with two equivalent O(26)Li2MgNi2 square pyramids,  an edgeedge with one O(18)Li3MgNi2 octahedra,  an edgeedge with one O(2)Li3Ni3 octahedra,  an edgeedge with one O(20)Li2MgNi2 square pyramid,  an edgeedge with one O(9)Li2MgNi2 square pyramid,  an edgeedge with one O(15)Li2Ni3 square pyramid,  an edgeedge with one O(22)Li2Ni3 square pyramid,  an edgeedge with one O(23)Li2Ni3 square pyramid, and  an edgeedge with one O(5)Li2Ni3 square pyramid. The corner-sharing octahedral tilt angles are 8°. In the second O site, O(2) is bonded to one Li(2), one Li(3), one Li(8), one Ni(1), one Ni(10), and one Ni(2) atom to form OLi3Ni3 octahedra that share  a cornercorner with one O(18)Li3MgNi2 octahedra,  a cornercorner with one O(15)Li2Ni3 square pyramid,  a cornercorner with one O(17)Li2Ni3 square pyramid,  a cornercorner with one O(8)Li2Ni3 square pyramid, corners with two equivalent O(3)Li2Ni3 square pyramids,  an edgeedge with one O(11)Li3Ni3 octahedra,  an edgeedge with one O(1)Li2MgNi2 square pyramid,  an edgeedge with one O(20)Li2MgNi2 square pyramid,  an edgeedge with one O(7)Li2MgNi2 square pyramid,  an edgeedge with one O(9)Li2MgNi2 square pyramid,  an edgeedge with one O(10)Li2Ni3 square pyramid,  an edgeedge with one O(16)Li2Ni3 square pyramid,  an edgeedge with one O(23)Li2Ni3 square pyramid,  an edgeedge with one O(24)Li2Ni3 square pyramid,  an edgeedge with one O(25)Li2Ni3 square pyramid,  an edgeedge with one O(5)Li2Ni3 square pyramid, and  an edgeedge with one O(6)Li2Ni3 square pyramid. The corner-sharing octahedra are not tilted. In the third O site, O(3) is bonded to one Li(2), one Li(9), one Ni(1), one Ni(12), and one Ni(4) atom to form OLi2Ni3 square pyramids that share  a cornercorner with one O(14)Li3Ni3 octahedra, corners with two equivalent O(2)Li3Ni3 octahedra,  a cornercorner with one O(26)Li2MgNi2 square pyramid,  a cornercorner with one O(9)Li2MgNi2 square pyramid,  a cornercorner with one O(19)Li2Ni3 square pyramid,  a cornercorner with one O(22)Li2Ni3 square pyramid,  a cornercorner with one O(5)Li2Ni3 square pyramid,  a cornercorner with one O(13)LiNi3 trigonal pyramid,  an edgeedge with one O(11)Li3Ni3 octahedra,  an edgeedge with one O(20)Li2MgNi2 square pyramid,  an edgeedge with one O(21)Li2Ni3 square pyramid,  an edgeedge with one O(23)Li2Ni3 square pyramid,  an edgeedge with one O(24)Li2Ni3 square pyramid,  an edgeedge with one O(25)Li2Ni3 square pyramid,  an edgeedge with one O(4)Li2Ni3 square pyramid, and  an edgeedge with one O(6)Li2Ni3 square pyramid. The corner-sharing octahedral tilt angles range from 4-6°. In the fourth O site, O(4) is bonded to one Li(1), one Li(4), one Ni(12), one Ni(3), and one Ni(4) atom to form OLi2Ni3 square pyramids that share  a cornercorner with one O(1)Li2MgNi2 square pyramid,  a cornercorner with one O(7)Li2MgNi2 square pyramid,  a cornercorner with one O(15)Li2Ni3 square pyramid,  a cornercorner with one O(21)Li2Ni3 square pyramid,  a cornercorner with one O(23)Li2Ni3 square pyramid,  a cornercorner with one O(24)Li2Ni3 square pyramid,  a cornercorner with one O(6)Li2Ni3 square pyramid,  a cornercorner with one O(8)Li2Ni3 square pyramid,  a cornercorner with one O(13)LiNi3 trigonal pyramid,  an edgeedge with one O(11)Li3Ni3 octahedra,  an edgeedge with one O(14)Li3Ni3 octahedra,  an edgeedge with one O(26)Li2MgNi2 square pyramid,  an edgeedge with one O(22)Li2Ni3 square pyramid,  an edgeedge with one O(25)Li2Ni3 square pyramid,  an edgeedge with one O(3)Li2Ni3 square pyramid, and  an edgeedge with one O(5)Li2Ni3 square pyramid. In the fifth O site, O(5) is bonded to one Li(1), one Li(4), one Ni(1), one Ni(2), and one Ni(5) atom to form OLi2Ni3 square pyramids that share  a cornercorner with one O(14)Li3Ni3 octahedra,  a cornercorner with one O(26)Li2MgNi2 square pyramid,  a cornercorner with one O(9)Li2MgNi2 square pyramid,  a cornercorner with one O(16)Li2Ni3 square pyramid,  a cornercorner with one O(22)Li2Ni3 square pyramid,  a cornercorner with one O(24)Li2Ni3 square pyramid,  a cornercorner with one O(3)Li2Ni3 square pyramid,  a cornercorner with one O(13)LiNi3 trigonal pyramid,  an edgeedge with one O(2)Li3Ni3 octahedra,  an edgeedge with one O(1)Li2MgNi2 square pyramid,  an edgeedge with one O(10)Li2Ni3 square pyramid,  an edgeedge with one O(15)Li2Ni3 square pyramid,  an edgeedge with one O(23)Li2Ni3 square pyramid,  an edgeedge with one O(4)Li2Ni3 square pyramid,  an edgeedge with one O(6)Li2Ni3 square pyramid, and  an edgeedge with one O(8)Li2Ni3 square pyramid. The corner-sharing octahedral tilt angles are 8°. In the sixth O site, O(6) is bonded to one Li(3), one Li(5), one Ni(1), one Ni(4), and one Ni(5) atom to form OLi2Ni3 square pyramids that share  a cornercorner with one O(18)Li3MgNi2 octahedra, corners with two equivalent O(11)Li3Ni3 octahedra,  a cornercorner with one O(7)Li2MgNi2 square pyramid,  a cornercorner with one O(15)Li2Ni3 square pyramid,  a cornercorner with one O(23)Li2Ni3 square pyramid,  a cornercorner with one O(24)Li2Ni3 square pyramid,  a cornercorner with one O(4)Li2Ni3 square pyramid,  a cornercorner with one O(8)Li2Ni3 square pyramid,  an edgeedge with one O(14)Li3Ni3 octahedra,  an edgeedge with one O(2)Li3Ni3 octahedra,  an edgeedge with one O(10)Li2Ni3 square pyramid,  an edgeedge with one O(16)Li2Ni3 square pyramid,  an edgeedge with one O(17)Li2Ni3 square pyramid,  an edgeedge with one O(3)Li2Ni3 square pyramid,  an edgeedge with one O(5)Li2Ni3 square pyramid, and  an edgeedge with one O(13)LiNi3 trigonal pyramid. The corner-sharing octahedral tilt angles range from 1-4°. In the seventh O site, O(7) is bonded to one Li(3), one Li(8), one Mg(1), one Ni(3), and one Ni(7) atom to form OLi2MgNi2 square pyramids that share  a cornercorner with one O(1)Li2MgNi2 square pyramid,  a cornercorner with one O(20)Li2MgNi2 square pyramid,  a cornercorner with one O(10)Li2Ni3 square pyramid,  a cornercorner with one O(16)Li2Ni3 square pyramid,  a cornercorner with one O(19)Li2Ni3 square pyramid,  a cornercorner with one O(24)Li2Ni3 square pyramid,  a cornercorner with one O(4)Li2Ni3 square pyramid,  a cornercorner with one O(6)Li2Ni3 square pyramid,  a cornercorner with one O(8)Li2Ni3 square pyramid,  an edgeedge with one O(18)Li3MgNi2 octahedra,  an edgeedge with one O(11)Li3Ni3 octahedra,  an edgeedge with one O(2)Li3Ni3 octahedra,  an edgeedge with one O(26)Li2MgNi2 square pyramid,  an edgeedge with one O(9)Li2MgNi2 square pyramid,  an edgeedge with one O(17)Li2Ni3 square pyramid, and  an edgeedge with one O(25)Li2Ni3 square pyramid. In the eighth O site, O(8) is bonded to one Li(4), one Li(5), one Ni(2), one Ni(6), and one Ni(7) atom to form OLi2Ni3 square pyramids that share  a cornercorner with one O(2)Li3Ni3 octahedra,  a cornercorner with one O(1)Li2MgNi2 square pyramid,  a cornercorner with one O(20)Li2MgNi2 square pyramid,  a cornercorner with one O(7)Li2MgNi2 square pyramid,  a cornercorner with one O(16)Li2Ni3 square pyramid,  a cornercorner with one O(4)Li2Ni3 square pyramid,  a cornercorner with one O(6)Li2Ni3 square pyramid,  an edgeedge with one O(18)Li3MgNi2 octahedra,  an edgeedge with one O(14)Li3Ni3 octahedra,  an edgeedge with one O(9)Li2MgNi2 square pyramid,  an edgeedge with one O(10)Li2Ni3 square pyramid,  an edgeedge with one O(15)Li2Ni3 square pyramid,  an edgeedge with one O(17)Li2Ni3 square pyramid,  an edgeedge with one O(19)Li2Ni3 square pyramid, and  an edgeedge with one O(5)Li2Ni3 square pyramid. The corner-sharing octahedral tilt angles are 4°. In the ninth O site, O(9) is bonded to one Li(2), one Li(6), one Mg(1), one Ni(2), and one Ni(7) atom to form OLi2MgNi2 square pyramids that share  a cornercorner with one O(18)Li3MgNi2 octahedra,  a cornercorner with one O(26)Li2MgNi2 square pyramid,  a cornercorner with one O(17)Li2Ni3 square pyramid,  a cornercorner with one O(21)Li2Ni3 square pyramid,  a cornercorner with one O(25)Li2Ni3 square pyramid,  a cornercorner with one O(3)Li2Ni3 square pyramid,  a cornercorner with one O(5)Li2Ni3 square pyramid,  a cornercorner with one O(13)LiNi3 trigonal pyramid,  an edgeedge with one O(11)Li3Ni3 octahedra,  an edgeedge with one O(2)Li3Ni3 octahedra,  an edgeedge with one O(1)Li2MgNi2 square pyramid,  an edgeedge with one O(20)Li2MgNi2 square pyramid,  an edgeedge with one O(7)Li2MgNi2 square pyramid,  an edgeedge with one O(10)Li2Ni3 square pyramid,  an edgeedge with one O(19)Li2Ni3 square pyramid, and  an edgeedge with one O(8)Li2Ni3 square pyramid. The corner-sharing octahedral tilt angles are 1°. In the tenth O site, O(10) is bonded to one Li(3), one Li(6), one Ni(2), one Ni(5), and one Ni(6) atom to form OLi2Ni3 square pyramids that share  a cornercorner with one O(18)Li3MgNi2 octahedra,  a cornercorner with one O(1)Li2MgNi2 square pyramid,  a cornercorner with one O(20)Li2MgNi2 square pyramid,  a cornercorner with one O(7)Li2MgNi2 square pyramid,  a cornercorner with one O(16)Li2Ni3 square pyramid,  a cornercorner with one O(17)Li2Ni3 square pyramid,  a cornercorner with one O(21)Li2Ni3 square pyramid, corners with two equivalent O(13)LiNi3 trigonal pyramids,  an edgeedge with one O(11)Li3Ni3 octahedra,  an edgeedge with one O(2)Li3Ni3 octahedra,  an edgeedge with one O(9)Li2MgNi2 square pyramid,  an edgeedge with one O(15)Li2Ni3 square pyramid,  an edgeedge with one O(19)Li2Ni3 square pyramid,  an edgeedge with one O(5)Li2Ni3 square pyramid,  an edgeedge with one O(6)Li2Ni3 square pyramid, and  an edgeedge with one O(8)Li2Ni3 square pyramid. The corner-sharing octahedral tilt angles are 4°. In the eleventh O site, O(11) is bonded to one Li(2), one Li(3), one Li(6), one Ni(3), one Ni(4), and one Ni(8) atom to form OLi3Ni3 octahedra that share  a cornercorner with one O(20)Li2MgNi2 square pyramid,  a cornercorner with one O(26)Li2MgNi2 square pyramid,  a cornercorner with one O(19)Li2Ni3 square pyramid,  a cornercorner with one O(22)Li2Ni3 square pyramid, corners with two equivalent O(6)Li2Ni3 square pyramids,  an edgeedge with one O(14)Li3Ni3 octahedra,  an edgeedge with one O(2)Li3Ni3 octahedra,  an edgeedge with one O(7)Li2MgNi2 square pyramid,  an edgeedge with one O(9)Li2MgNi2 square pyramid,  an edgeedge with one O(10)Li2Ni3 square pyramid,  an edgeedge with one O(17)Li2Ni3 square pyramid,  an edgeedge with one O(21)Li2Ni3 square pyramid,  an edgeedge with one O(25)Li2Ni3 square pyramid,  an edgeedge with one O(3)Li2Ni3 square pyramid,  an edgeedge with one O(4)Li2Ni3 square pyramid, and  an edgeedge with one O(13)LiNi3 trigonal pyramid. In the twelfth O site, O(12) is bonded in a rectangular see-saw-like geometry to one Li(4), one Ni(3), one Ni(7), and one Ni(8) atom. In the thirteenth O site, O(13) is bonded to one Li(6), one Ni(4), one Ni(5), and one Ni(9) atom to form OLiNi3 trigonal pyramids that share  a cornercorner with one O(9)Li2MgNi2 square pyramid,  a cornercorner with one O(15)Li2Ni3 square pyramid,  a cornercorner with one O(19)Li2Ni3 square pyramid,  a cornercorner with one O(23)Li2Ni3 square pyramid,  a cornercorner with one O(24)Li2Ni3 square pyramid,  a cornercorner with one O(3)Li2Ni3 square pyramid,  a cornercorner with one O(4)Li2Ni3 square pyramid,  a cornercorner with one O(5)Li2Ni3 square pyramid, corners with two equivalent O(10)Li2Ni3 square pyramids,  an edgeedge with one O(11)Li3Ni3 octahedra,  an edgeedge with one O(14)Li3Ni3 octahedra,  an edgeedge with one O(16)Li2Ni3 square pyramid,  an edgeedge with one O(21)Li2Ni3 square pyramid, and  an edgeedge with one O(6)Li2Ni3 square pyramid. In the fourteenth O site, O(14) is bonded to one Li(4), one Li(5), one Li(7), one Ni(4), one Ni(8), and one Ni(9) atom to form OLi3Ni3 octahedra that share  a cornercorner with one O(1)Li2MgNi2 square pyramid,  a cornercorner with one O(23)Li2Ni3 square pyramid,  a cornercorner with one O(3)Li2Ni3 square pyramid,  a cornercorner with one O(5)Li2Ni3 square pyramid, corners with two equivalent O(17)Li2Ni3 square pyramids,  an edgeedge with one O(18)Li3MgNi2 octahedra,  an edgeedge with one O(11)Li3Ni3 octahedra,  an edgeedge with one O(15)Li2Ni3 square pyramid,  an edgeedge with one O(16)Li2Ni3 square pyramid,  an edgeedge with one O(21)Li2Ni3 square pyramid,  an edgeedge with one O(22)Li2Ni3 square pyramid,  an edgeedge with one O(24)Li2Ni3 square pyramid,  an edgeedge with one O(4)Li2Ni3 square pyramid,  an edgeedge with one O(6)Li2Ni3 square pyramid,  an edgeedge with one O(8)Li2Ni3 square pyramid, and  an edgeedge with one O(13)LiNi3 trigonal pyramid. In the fifteenth O site, O(15) is bonded to one Li(4), one Li(7), one Ni(10), one Ni(5), and one Ni(6) atom to form OLi2Ni3 square pyramids that share  a cornercorner with one O(2)Li3Ni3 octahedra,  a cornercorner with one O(19)Li2Ni3 square pyramid,  a cornercorner with one O(22)Li2Ni3 square pyramid,  a cornercorner with one O(23)Li2Ni3 square pyramid,  a cornercorner with one O(24)Li2Ni3 square pyramid,  a cornercorner with one O(4)Li2Ni3 square pyramid,  a cornercorner with one O(6)Li2Ni3 square pyramid,  a cornercorner with one O(13)LiNi3 trigonal pyramid,  an edgeedge with one O(18)Li3MgNi2 octahedra,  an edgeedge with one O(14)Li3Ni3 octahedra,  an edgeedge with one O(1)Li2MgNi2 square pyramid,  an edgeedge with one O(20)Li2MgNi2 square pyramid,  an edgeedge with one O(10)Li2Ni3 square pyramid,  an edgeedge with one O(16)Li2Ni3 square pyramid,  an edgeedge with one O(5)Li2Ni3 square pyramid, and  an edgeedge with one O(8)Li2Ni3 square pyramid. The corner-sharing octahedral tilt angles are 3°. In the sixteenth O site, O(16) is bonded to one Li(5), one Li(8), one Ni(10), one Ni(5), and one Ni(9) atom to form OLi2Ni3 square pyramids that share  a cornercorner with one O(1)Li2MgNi2 square pyramid,  a cornercorner with one O(20)Li2MgNi2 square pyramid,  a cornercorner with one O(7)Li2MgNi2 square pyramid,  a cornercorner with one O(10)Li2Ni3 square pyramid,  a cornercorner with one O(17)Li2Ni3 square pyramid,  a cornercorner with one O(21)Li2Ni3 square pyramid,  a cornercorner with one O(25)Li2Ni3 square pyramid,  a cornercorner with one O(5)Li2Ni3 square pyramid,  a cornercorner with one O(8)Li2Ni3 square pyramid,  an edgeedge with one O(18)Li3MgNi2 octahedra,  an edgeedge with one O(14)Li3Ni3 octahedra,  an edgeedge with one O(2)Li3Ni3 octahedra,  an edgeedge with one O(15)Li2Ni3 square pyramid,  an edgeedge with one O(23)Li2Ni3 square pyramid,  an edgeedge with one O(24)Li2Ni3 square pyramid,  an edgeedge with one O(6)Li2Ni3 square pyramid, and  an edgeedge with one O(13)LiNi3 trigonal pyramid. In the seventeenth O site, O(17) is bonded to one Li(3), one Li(5), one Ni(11), one Ni(7), and one Ni(8) atom to form OLi2Ni3 square pyramids that share  a cornercorner with one O(2)Li3Ni3 octahedra, corners with two equivalent O(14)Li3Ni3 octahedra,  a cornercorner with one O(26)Li2MgNi2 square pyramid,  a cornercorner with one O(9)Li2MgNi2 square pyramid,  a cornercorner with one O(10)Li2Ni3 square pyramid,  a cornercorner with one O(16)Li2Ni3 square pyramid,  a cornercorner with one O(21)Li2Ni3 square pyramid,  a cornercorner with one O(25)Li2Ni3 square pyramid,  an edgeedge with one O(18)Li3MgNi2 octahedra,  an edgeedge with one O(11)Li3Ni3 octahedra,  an edgeedge with one O(7)Li2MgNi2 square pyramid,  an edgeedge with one O(19)Li2Ni3 square pyramid,  an edgeedge with one O(22)Li2Ni3 square pyramid,  an edgeedge with one O(6)Li2Ni3 square pyramid, and  an edgeedge with one O(8)Li2Ni3 square pyramid. The corner-sharing octahedral tilt angles range from 5-7°. In the eighteenth O site, O(18) is bonded to one Li(5), one Li(7), one Li(8), one Mg(1), one Ni(11), and one Ni(6) atom to form OLi3MgNi2 octahedra that share  a cornercorner with one O(2)Li3Ni3 octahedra,  a cornercorner with one O(9)Li2MgNi2 square pyramid,  a cornercorner with one O(10)Li2Ni3 square pyramid,  a cornercorner with one O(6)Li2Ni3 square pyramid, corners with two equivalent O(22)Li2Ni3 square pyramids,  an edgeedge with one O(14)Li3Ni3 octahedra,  an edgeedge with one O(1)Li2MgNi2 square pyramid,  an edgeedge with one O(20)Li2MgNi2 square pyramid,  an edgeedge with one O(26)Li2MgNi2 square pyramid,  an edgeedge with one O(7)Li2MgNi2 square pyramid,  an edgeedge with one O(15)Li2Ni3 square pyramid,  an edgeedge with one O(16)Li2Ni3 square pyramid,  an edgeedge with one O(17)Li2Ni3 square pyramid,  an edgeedge with one O(19)Li2Ni3 square pyramid,  an edgeedge with one O(24)Li2Ni3 square pyramid,  an edgeedge with one O(25)Li2Ni3 square pyramid, and  an edgeedge with one O(8)Li2Ni3 square pyramid. The corner-sharing octahedra are not tilted. In the nineteenth O site, O(19) is bonded to one Li(6), one Li(9), one Ni(11), one Ni(6), and one Ni(7) atom to form OLi2Ni3 square pyramids that share  a cornercorner with one O(11)Li3Ni3 octahedra,  a cornercorner with one O(7)Li2MgNi2 square pyramid,  a cornercorner with one O(15)Li2Ni3 square pyramid,  a cornercorner with one O(22)Li2Ni3 square pyramid,  a cornercorner with one O(23)Li2Ni3 square pyramid,  a cornercorner with one O(25)Li2Ni3 square pyramid,  a cornercorner with one O(3)Li2Ni3 square pyramid,  a cornercorner with one O(13)LiNi3 trigonal pyramid,  an edgeedge with one O(18)Li3MgNi2 octahedra,  an edgeedge with one O(20)Li2MgNi2 square pyramid,  an edgeedge with one O(26)Li2MgNi2 square pyramid,  an edgeedge with one O(9)Li2MgNi2 square pyramid,  an edgeedge with one O(10)Li2Ni3 square pyramid,  an edgeedge with one O(17)Li2Ni3 square pyramid,  an edgeedge with one O(21)Li2Ni3 square pyramid, and  an edgeedge with one O(8)Li2Ni3 square pyramid. The corner-sharing octahedral tilt angles are 11°. In the twentieth O site, O(20) is bonded to one Li(2), one Li(9), one Mg(1), one Ni(10), and one Ni(6) atom to form OLi2MgNi2 square pyramids that share  a cornercorner with one O(11)Li3Ni3 octahedra,  a cornercorner with one O(7)Li2MgNi2 square pyramid,  a cornercorner with one O(10)Li2Ni3 square pyramid,  a cornercorner with one O(16)Li2Ni3 square pyramid,  a cornercorner with one O(21)Li2Ni3 square pyramid,  a cornercorner with one O(25)Li2Ni3 square pyramid,  a cornercorner with one O(8)Li2Ni3 square pyramid, corners with two equivalent O(23)Li2Ni3 square pyramids,  an edgeedge with one O(18)Li3MgNi2 octahedra,  an edgeedge with one O(2)Li3Ni3 octahedra,  an edgeedge with one O(1)Li2MgNi2 square pyramid,  an edgeedge with one O(26)Li2MgNi2 square pyramid,  an edgeedge with one O(9)Li2MgNi2 square pyramid,  an edgeedge with one O(15)Li2Ni3 square pyramid,  an edgeedge with one O(19)Li2Ni3 square pyramid, and  an edgeedge with one O(3)Li2Ni3 square pyramid. The corner-sharing octahedral tilt angles are 6°. In the twenty-first O site, O(21) is bonded to one Li(6), one Li(9), one Ni(12), one Ni(8), and one Ni(9) atom to form OLi2Ni3 square pyramids that share  a cornercorner with one O(20)Li2MgNi2 square pyramid,  a cornercorner with one O(26)Li2MgNi2 square pyramid,  a cornercorner with one O(9)Li2MgNi2 square pyramid,  a cornercorner with one O(10)Li2Ni3 square pyramid,  a cornercorner with one O(16)Li2Ni3 square pyramid,  a cornercorner with one O(17)Li2Ni3 square pyramid,  a cornercorner with one O(25)Li2Ni3 square pyramid,  a cornercorner with one O(4)Li2Ni3 square pyramid,  an edgeedge with one O(11)Li3Ni3 octahedra,  an edgeedge with one O(14)Li3Ni3 octahedra,  an edgeedge with one O(19)Li2Ni3 square pyramid,  an edgeedge with one O(22)Li2Ni3 square pyramid,  an edgeedge with one O(23)Li2Ni3 square pyramid,  an edgeedge with one O(24)Li2Ni3 square pyramid,  an edgeedge with one O(3)Li2Ni3 square pyramid, and  an edgeedge with one O(13)LiNi3 trigonal pyramid. In the twenty-second O site, O(22) is bonded to one Li(1), one Li(7), one Ni(11), one Ni(12), and one Ni(8) atom to form OLi2Ni3 square pyramids that share  a cornercorner with one O(11)Li3Ni3 octahedra, corners with two equivalent O(18)Li3MgNi2 octahedra,  a cornercorner with one O(15)Li2Ni3 square pyramid,  a cornercorner with one O(19)Li2Ni3 square pyramid,  a cornercorner with one O(23)Li2Ni3 square pyramid,  a cornercorner with one O(3)Li2Ni3 square pyramid,  a cornercorner with one O(5)Li2Ni3 square pyramid,  an edgeedge with one O(14)Li3Ni3 octahedra,  an edgeedge with one O(1)Li2MgNi2 square pyramid,  an edgeedge with one O(26)Li2MgNi2 square pyramid,  an edgeedge with one O(17)Li2Ni3 square pyramid,  an edgeedge with one O(21)Li2Ni3 square pyramid,  an edgeedge with one O(24)Li2Ni3 square pyramid,  an edgeedge with one O(25)Li2Ni3 square pyramid, and  an edgeedge with one O(4)Li2Ni3 square pyramid. The corner-sharing octahedral tilt angles range from 2-7°. In the twenty-third O site, O(23) is bonded to one Li(1), one Li(9), one Ni(1), one Ni(10), and one Ni(9) atom to form OLi2Ni3 square pyramids that share  a cornercorner with one O(14)Li3Ni3 octahedra,  a cornercorner with one O(15)Li2Ni3 square pyramid,  a cornercorner with one O(19)Li2Ni3 square pyramid,  a cornercorner with one O(22)Li2Ni3 square pyramid,  a cornercorner with one O(4)Li2Ni3 square pyramid,  a cornercorner with one O(6)Li2Ni3 square pyramid, corners with two equivalent O(20)Li2MgNi2 square pyramids,  a cornercorner with one O(13)LiNi3 trigonal pyramid,  an edgeedge with one O(2)Li3Ni3 octahedra,  an edgeedge with one O(1)Li2MgNi2 square pyramid,  an edgeedge with one O(26)Li2MgNi2 square pyramid,  an edgeedge with one O(16)Li2Ni3 square pyramid,  an edgeedge with one O(21)Li2Ni3 square pyramid,  an edgeedge with one O(24)Li2Ni3 square pyramid,  an edgeedge with one O(3)Li2Ni3 square pyramid, and  an edgeedge with one O(5)Li2Ni3 square pyramid. The corner-sharing octahedral tilt angles are 3°. In the twenty-fourth O site, O(24) is bonded to one Li(7), one Li(8), one Ni(1), one Ni(12), and one Ni(9) atom to form OLi2Ni3 square pyramids that share  a cornercorner with one O(1)Li2MgNi2 square pyramid,  a cornercorner with one O(7)Li2MgNi2 square pyramid,  a cornercorner with one O(15)Li2Ni3 square pyramid,  a cornercorner with one O(4)Li2Ni3 square pyramid,  a cornercorner with one O(5)Li2Ni3 square pyramid,  a cornercorner with one O(6)Li2Ni3 square pyramid, corners with two equivalent O(25)Li2Ni3 square pyramids,  a cornercorner with one O(13)LiNi3 trigonal pyramid,  an edgeedge with one O(18)Li3MgNi2 octahedra,  an edgeedge with one O(14)Li3Ni3 octahedra,  an edgeedge with one O(2)Li3Ni3 octahedra,  an edgeedge with one O(16)Li2Ni3 square pyramid,  an edgeedge with one O(21)Li2Ni3 square pyramid,  an edgeedge with one O(22)Li2Ni3 square pyramid,  an edgeedge with one O(23)Li2Ni3 square pyramid, and  an edgeedge with one O(3)Li2Ni3 square pyramid. In the twenty-fifth O site, O(25) is bonded to one Li(2), one Li(8), one Ni(11), one Ni(12), and one Ni(3) atom to form OLi2Ni3 square pyramids that share  a cornercorner with one O(20)Li2MgNi2 square pyramid,  a cornercorner with one O(9)Li2MgNi2 square pyramid,  a cornercorner with one O(16)Li2Ni3 square pyramid,  a cornercorner with one O(17)Li2Ni3 square pyramid,  a cornercorner with one O(19)Li2Ni3 square pyramid,  a cornercorner with one O(21)Li2Ni3 square pyramid, corners with two equivalent O(24)Li2Ni3 square pyramids,  an edgeedge with one O(18)Li3MgNi2 octahedra,  an edgeedge with one O(11)Li3Ni3 octahedra,  an edgeedge with one O(2)Li3Ni3 octahedra,  an edgeedge with one O(26)Li2MgNi2 square pyramid,  an edgeedge with one O(7)Li2MgNi2 square pyramid,  an edgeedge with one O(22)Li2Ni3 square pyramid,  an edgeedge with one O(3)Li2Ni3 square pyramid, and  an edgeedge with one O(4)Li2Ni3 square pyramid. In the twenty-sixth O site, O(26) is bonded to one Li(1), one Li(9), one Mg(1), one Ni(11), and one Ni(3) atom to form OLi2MgNi2 square pyramids that share  a cornercorner with one O(11)Li3Ni3 octahedra,  a cornercorner with one O(9)Li2MgNi2 square pyramid,  a cornercorner with one O(17)Li2Ni3 square pyramid,  a cornercorner with one O(21)Li2Ni3 square pyramid,  a cornercorner with one O(3)Li2Ni3 square pyramid,  a cornercorner with one O(5)Li2Ni3 square pyramid, corners with two equivalent O(1)Li2MgNi2 square pyramids,  an edgeedge with one O(18)Li3MgNi2 octahedra,  an edgeedge with one O(20)Li2MgNi2 square pyramid,  an edgeedge with one O(7)Li2MgNi2 square pyramid,  an edgeedge with one O(19)Li2Ni3 square pyramid,  an edgeedge with one O(22)Li2Ni3 square pyramid,  an edgeedge with one O(23)Li2Ni3 square pyramid,  an edgeedge with one O(25)Li2Ni3 square pyramid, and  an edgeedge with one O(4)Li2Ni3 square pyramid. The corner-sharing octahedral tilt angles are 2°.
Li9Mg(Ni6O13)2 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(22), one O(23), one O(26), one O(4), and one O(5) atom to form LiO6 octahedra that share  a cornercorner with one Ni(4)O6 octahedra,  a cornercorner with one Ni(5)O6 octahedra,  a cornercorner with one Ni(8)O6 octahedra,  a cornercorner with one Ni(9)O6 octahedra, corners with two equivalent Mg(1)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 Ni(1)O6 octahedra,  an edgeedge with one Ni(10)O6 octahedra,  an edgeedge with one Ni(11)O6 octahedra,  an edgeedge with one Ni(12)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra, and  an edgeedge with one Ni(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-16°. The Li(1)-O(1) bond length is 2.05 Å. The Li(1)-O(22) bond length is 2.20 Å. The Li(1)-O(23) bond length is 2.09 Å. The Li(1)-O(26) bond length is 2.04 Å. The Li(1)-O(4) bond length is 2.23 Å. The Li(1)-O(5) bond length is 2.13 Å. In the second Li site, Li(2) is bonded to one O(11), one O(2), one O(20), one O(25), one O(3), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one Ni(11)O6 octahedra,  a cornercorner with one Ni(6)O6 octahedra,  a cornercorner with one Ni(7)O6 octahedra,  a cornercorner with one Ni(8)O6 octahedra, corners with two equivalent Ni(1)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Ni(10)O6 octahedra,  an edgeedge with one Ni(12)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra,  an edgeedge with one Ni(3)O6 octahedra, and  an edgeedge with one Ni(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-11°. The Li(2)-O(11) bond length is 2.18 Å. The Li(2)-O(2) bond length is 2.13 Å. The Li(2)-O(20) bond length is 2.10 Å. The Li(2)-O(25) bond length is 2.04 Å. The Li(2)-O(3) bond length is 2.14 Å. The Li(2)-O(9) bond length is 2.27 Å. In the third Li site, Li(3) is bonded to one O(10), one O(11), one O(17), one O(2), one O(6), and one O(7) atom to form distorted LiO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Ni(10)O6 octahedra,  a cornercorner with one Ni(11)O6 octahedra,  a cornercorner with one Ni(6)O6 octahedra, corners with two equivalent Ni(4)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 Ni(1)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra,  an edgeedge with one Ni(3)O6 octahedra,  an edgeedge with one Ni(5)O6 octahedra,  an edgeedge with one Ni(7)O6 octahedra, and  an edgeedge with one Ni(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-13°. The Li(3)-O(10) bond length is 2.41 Å. The Li(3)-O(11) bond length is 2.07 Å. The Li(3)-O(17) bond length is 2.09 Å. The Li(3)-O(2) bond length is 2.19 Å. The Li(3)-O(6) bond length is 1.98 Å. The Li(3)-O(7) bond length is 2.04 Å. In the fourth Li site, Li(4) is bonded to one O(12), one O(14), one O(15), one O(4), one O(5), and one O(8) atom to form LiO6 octahedra that share  a cornercorner with one Ni(1)O6 octahedra,  a cornercorner with one Ni(10)O6 octahedra,  a cornercorner with one Ni(12)O6 octahedra,  a cornercorner with one Ni(9)O6 octahedra, corners with two equivalent Ni(7)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(7)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,  an edgeedge with one Ni(5)O6 octahedra,  an edgeedge with one Ni(6)O6 octahedra, and  an edgeedge with one Ni(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-13°. The Li(4)-O(12) bond length is 2.06 Å. The Li(4)-O(14) bond length is 2.10 Å. The Li(4)-O(15) bond length is 2.12 Å. The Li(4)-O(4) bond length is 2.22 Å. The Li(4)-O(5) bond length is 2.04 Å. The Li(4)-O(8) bond length is 2.34 Å. In the fifth Li site, Li(5) is bonded to one O(14), one O(16), one O(17), one O(18), one O(6), and one O(8) atom to form LiO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Ni(1)O6 octahedra,  a cornercorner with one Ni(10)O6 octahedra,  a cornercorner with one Ni(2)O6 octahedra, corners with two equivalent Ni(8)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Ni(11)O6 octahedra,  an edgeedge with one Ni(4)O6 octahedra,  an edgeedge with one Ni(5)O6 octahedra,  an edgeedge with one Ni(6)O6 octahedra,  an edgeedge with one Ni(7)O6 octahedra, and  an edgeedge with one Ni(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-14°. The Li(5)-O(14) bond length is 2.20 Å. The Li(5)-O(16) bond length is 2.29 Å. The Li(5)-O(17) bond length is 2.16 Å. The Li(5)-O(18) bond length is 2.08 Å. The Li(5)-O(6) bond length is 2.07 Å. The Li(5)-O(8) bond length is 2.03 Å. In the sixth Li site, Li(6) is bonded to one O(10), one O(11), one O(13), one O(19), one O(21), and one O(9) atom to form distorted LiO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Ni(11)O6 octahedra,  a cornercorner with one Ni(12)O6 octahedra,  a cornercorner with one Ni(3)O6 octahedra, corners with two equivalent Ni(5)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra,  an edgeedge with one Ni(4)O6 octahedra,  an edgeedge with one Ni(6)O6 octahedra,  an edgeedge with one Ni(7)O6 octahedra,  an edgeedge with one Ni(8)O6 octahedra, and  an edgeedge with one Ni(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-20°. The Li(6)-O(10) bond length is 2.26 Å. The Li(6)-O(11) bond length is 2.35 Å. The Li(6)-O(13) bond length is 2.03 Å. The Li(6)-O(19) bond length is 2.04 Å. The Li(6)-O(21) bond length is 2.20 Å. The Li(6)-O(9) bond length is 2.00 Å. In the seventh Li site, Li(7) is bonded to one O(1), one O(14), one O(15), one O(18), one O(22), and one O(24) atom to form LiO6 octahedra that share  a cornercorner with one Ni(1)O6 octahedra,  a cornercorner with one Ni(2)O6 octahedra,  a cornercorner with one Ni(4)O6 octahedra,  a cornercorner with one Ni(5)O6 octahedra, corners with two equivalent Ni(11)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 Mg(1)O6 octahedra,  an edgeedge with one Ni(10)O6 octahedra,  an edgeedge with one Ni(12)O6 octahedra,  an edgeedge with one Ni(6)O6 octahedra,  an edgeedge with one Ni(8)O6 octahedra, and  an edgeedge with one Ni(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-14°. The Li(7)-O(1) bond length is 2.09 Å. The Li(7)-O(14) bond length is 2.18 Å. The Li(7)-O(15) bond length is 2.07 Å. The Li(7)-O(18) bond length is 2.23 Å. The Li(7)-O(22) bond length is 2.08 Å. The Li(7)-O(24) bond length is 2.09 Å. In the eighth Li site, Li(8) is bonded to one O(16), one O(18), one O(2), one O(24), one O(25), and one O(7) atom to form LiO6 octahedra that share  a cornercorner with one Ni(2)O6 octahedra,  a cornercorner with one Ni(5)O6 octahedra,  a cornercorner with one Ni(6)O6 octahedra,  a cornercorner with one Ni(7)O6 octahedra, corners with two equivalent Ni(12)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(7)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Ni(1)O6 octahedra,  an edgeedge with one Ni(10)O6 octahedra,  an edgeedge with one Ni(11)O6 octahedra,  an edgeedge with one Ni(3)O6 octahedra, and  an edgeedge with one Ni(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-11°. The Li(8)-O(16) bond length is 2.09 Å. The Li(8)-O(18) bond length is 2.21 Å. The Li(8)-O(2) bond length is 2.07 Å. The Li(8)-O(24) bond length is 2.21 Å. The Li(8)-O(25) bond length is 2.15 Å. The Li(8)-O(7) bond length is 2.24 Å. In the ninth Li site, Li(9) is bonded to one O(19), one O(20), one O(21), one O(23), one O(26), and one O(3) atom to form LiO6 octahedra that share  a cornercorner with one Ni(3)O6 octahedra,  a cornercorner with one Ni(4)O6 octahedra,  a cornercorner with one Ni(7)O6 octahedra,  a cornercorner with one Ni(8)O6 octahedra, corners with two equivalent Ni(10)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Ni(1)O6 octahedra,  an edgeedge with one Ni(11)O6 octahedra,  an edgeedge with one Ni(12)O6 octahedra,  an edgeedge with one Ni(6)O6 octahedra, and  an edgeedge with one Ni(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-11°. The Li(9)-O(19) bond length is 2.11 Å. The Li(9)-O(20) bond length is 2.23 Å. The Li(9)-O(21) bond length is 2.08 Å. The Li(9)-O(23) bond length is 2.14 Å. The Li(9)-O(26) bond length is 2.31 Å. The Li(9)-O(3) bond length is 2.13 Å. Mg(1) is bonded to one O(1), one O(18), one O(20), one O(26), one O(7), and one O(9) atom to form MgO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Li(6)O6 octahedra, corners with two equivalent 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 Ni(10)O6 octahedra,  an edgeedge with one Ni(11)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra,  an edgeedge with one Ni(3)O6 octahedra,  an edgeedge with one Ni(6)O6 octahedra, and  an edgeedge with one Ni(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-16°. The Mg(1)-O(1) bond length is 2.06 Å. The Mg(1)-O(18) bond length is 2.05 Å. The Mg(1)-O(20) bond length is 2.05 Å. The Mg(1)-O(26) bond length is 2.07 Å. The Mg(1)-O(7) bond length is 2.04 Å. The Mg(1)-O(9) bond length is 2.02 Å. There are twelve inequivalent Ni sites. In the first Ni site, Ni(1) is bonded to one O(2), one O(23), one O(24), one O(3), one O(5), and one O(6) atom to form NiO6 octahedra that share  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra,  a cornercorner with one Li(7)O6 octahedra, corners with two equivalent Li(2)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 Li(9)O6 octahedra,  an edgeedge with one Ni(10)O6 octahedra,  an edgeedge with one Ni(12)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra,  an edgeedge with one Ni(4)O6 octahedra,  an edgeedge with one Ni(5)O6 octahedra, and  an edgeedge with one Ni(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-12°. The Ni(1)-O(2) bond length is 1.95 Å. The Ni(1)-O(23) bond length is 1.89 Å. The Ni(1)-O(24) bond length is 2.10 Å. The Ni(1)-O(3) bond length is 1.97 Å. The Ni(1)-O(5) bond length is 2.10 Å. The Ni(1)-O(6) bond length is 1.88 Å. In the second Ni site, Ni(2) is bonded to one O(1), one O(10), one O(2), one O(5), one O(8), and one O(9) atom to form NiO6 octahedra that share  a cornercorner with one Li(5)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(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Ni(1)O6 octahedra,  an edgeedge with one Ni(10)O6 octahedra,  an edgeedge with one Ni(5)O6 octahedra,  an edgeedge with one Ni(6)O6 octahedra, and  an edgeedge with one Ni(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-14°. The Ni(2)-O(1) bond length is 1.94 Å. The Ni(2)-O(10) bond length is 1.92 Å. The Ni(2)-O(2) bond length is 2.14 Å. The Ni(2)-O(5) bond length is 1.88 Å. The Ni(2)-O(8) bond length is 2.08 Å. The Ni(2)-O(9) bond length is 1.89 Å. In the third Ni site, Ni(3) is bonded to one O(11), one O(12), one O(25), one O(26), one O(4), and one O(7) atom to form NiO6 octahedra that share  a cornercorner with one Li(6)O6 octahedra,  a cornercorner with one Li(9)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(4)O6 octahedra,  an edgeedge with one Li(8)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Ni(11)O6 octahedra,  an edgeedge with one Ni(12)O6 octahedra,  an edgeedge with one Ni(4)O6 octahedra,  an edgeedge with one Ni(7)O6 octahedra, and  an edgeedge with one Ni(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-10°. The Ni(3)-O(11) bond length is 1.91 Å. The Ni(3)-O(12) bond length is 1.87 Å. The Ni(3)-O(25) bond length is 1.89 Å. The Ni(3)-O(26) bond length is 1.92 Å. The Ni(3)-O(4) bond length is 1.90 Å. The Ni(3)-O(7) bond length is 1.88 Å. In the fourth Ni site, Ni(4) is bonded to one O(11), one O(13), one O(14), one O(3), one O(4), and one O(6) atom to form NiO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(7)O6 octahedra,  a cornercorner with one Li(9)O6 octahedra, corners with two equivalent Li(3)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Li(6)O6 octahedra,  an edgeedge with one Ni(1)O6 octahedra,  an edgeedge with one Ni(12)O6 octahedra,  an edgeedge with one Ni(3)O6 octahedra,  an edgeedge with one Ni(5)O6 octahedra,  an edgeedge with one Ni(8)O6 octahedra, and  an edgeedge with one Ni(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-12°. The Ni(4)-O(11) bond length is 2.09 Å. The Ni(4)-O(13) bond length is 1.90 Å. The Ni(4)-O(14) bond length is 1.93 Å. The Ni(4)-O(3) bond length is 1.96 Å. The Ni(4)-O(4) bond length is 1.95 Å. The Ni(4)-O(6) bond length is 2.04 Å. In the fifth Ni site, Ni(5) is bonded to one O(10), one O(13), one O(15), one O(16), one O(5), and one O(6) atom to form NiO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(7)O6 octahedra,  a cornercorner with one Li(8)O6 octahedra, corners with two equivalent Li(6)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 Ni(1)O6 octahedra,  an edgeedge with one Ni(10)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra,  an edgeedge with one Ni(4)O6 octahedra,  an edgeedge with one Ni(6)O6 octahedra, and  an edgeedge with one Ni(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-20°. The Ni(5)-O(10) bond length is 1.97 Å. The Ni(5)-O(13) bond length is 1.98 Å. The Ni(5)-O(15) bond length is 2.10 Å. The Ni(5)-O(16) bond length is 1.91 Å. The Ni(5)-O(5) bond length is 1.88 Å. The Ni(5)-O(6) bond length is 2.02 Å. In the sixth Ni site, Ni(6) is bonded to one O(10), one O(15), one O(18), one O(19), one O(20), and one O(8) atom to form NiO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(8)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 Mg(1)O6 octahedra,  an edgeedge with one Ni(10)O6 octahedra,  an edgeedge with one Ni(11)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra,  an edgeedge with one Ni(5)O6 octahedra, and  an edgeedge with one Ni(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-9°. The Ni(6)-O(10) bond length is 1.89 Å. The Ni(6)-O(15) bond length is 1.89 Å. The Ni(6)-O(18) bond length is 1.95 Å. The Ni(6)-O(19) bond length is 1.89 Å. The Ni(6)-O(20) bond length is 1.90 Å. The Ni(6)-O(8) bond length is 1.87 Å. In the seventh Ni site, Ni(7) is bonded to one O(12), one O(17), one O(19), one O(7), one O(8), and one O(9) atom to form NiO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(8)O6 octahedra,  a cornercorner with one Li(9)O6 octahedra, corners with two equivalent Li(4)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 Mg(1)O6 octahedra,  an edgeedge with one Ni(11)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra,  an edgeedge with one Ni(3)O6 octahedra,  an edgeedge with one Ni(6)O6 octahedra, and  an edgeedge with one Ni(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-12°. The Ni(7)-O(12) bond length is 1.89 Å. The Ni(7)-O(17) bond length is 1.91 Å. The Ni(7)-O(19) bond length is 1.91 Å. The Ni(7)-O(7) bond length is 1.91 Å. The Ni(7)-O(8) bond length is 1.91 Å. The Ni(7)-O(9) bond length is 1.91 Å. In the eighth Ni site, Ni(8) is bonded to one O(11), one O(12), one O(14), one O(17), one O(21), and one O(22) atom to form NiO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(9)O6 octahedra, corners with two equivalent Li(5)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(7)O6 octahedra,  an edgeedge with one Ni(11)O6 octahedra,  an edgeedge with one Ni(12)O6 octahedra,  an edgeedge with one Ni(3)O6 octahedra,  an edgeedge with one Ni(4)O6 octahedra,  an edgeedge with one Ni(7)O6 octahedra, and  an edgeedge with one Ni(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-14°. The Ni(8)-O(11) bond length is 1.92 Å. The Ni(8)-O(12) bond length is 2.08 Å. The Ni(8)-O(14) bond length is 1.91 Å. The Ni(8)-O(17) bond length is 1.92 Å. The Ni(8)-O(21) bond length is 2.11 Å. The Ni(8)-O(22) bond length is 1.93 Å. In the ninth Ni site, Ni(9) is bonded to one O(13), one O(14), one O(16), one O(21), one O(23), and one O(24) atom to form NiO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner 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 Li(9)O6 octahedra,  an edgeedge with one Ni(1)O6 octahedra,  an edgeedge with one Ni(10)O6 octahedra,  an edgeedge with one Ni(12)O6 octahedra,  an edgeedge with one Ni(4)O6 octahedra,  an edgeedge with one Ni(5)O6 octahedra, and  an edgeedge with one Ni(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-12°. The Ni(9)-O(13) bond length is 1.90 Å. The Ni(9)-O(14) bond length is 2.14 Å. The Ni(9)-O(16) bond length is 1.92 Å. The Ni(9)-O(21) bond length is 1.89 Å. The Ni(9)-O(23) bond length is 2.10 Å. The Ni(9)-O(24) bond length is 1.90 Å. In the tenth Ni site, Ni(10) is bonded to one O(1), one O(15), one O(16), one O(2), one O(20), and one O(23) atom to form NiO6 octahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra, corners with two equivalent Li(9)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 Mg(1)O6 octahedra,  an edgeedge with one Ni(1)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra,  an edgeedge with one Ni(5)O6 octahedra,  an edgeedge with one Ni(6)O6 octahedra, and  an edgeedge with one Ni(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 2-13°. The Ni(10)-O(1) bond length is 1.87 Å. The Ni(10)-O(15) bond length is 1.90 Å. The Ni(10)-O(16) bond length is 1.96 Å. The Ni(10)-O(2) bond length is 1.89 Å. The Ni(10)-O(20) bond length is 1.91 Å. The Ni(10)-O(23) bond length is 1.91 Å. In the eleventh Ni site, Ni(11) is bonded to one O(17), one O(18), one O(19), one O(22), one O(25), and one O(26) atom to form NiO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(6)O6 octahedra, corners with two equivalent Li(7)O6 octahedra,  an edgeedge with one Li(1)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 Mg(1)O6 octahedra,  an edgeedge with one Ni(12)O6 octahedra,  an edgeedge with one Ni(3)O6 octahedra,  an edgeedge with one Ni(6)O6 octahedra,  an edgeedge with one Ni(7)O6 octahedra, and  an edgeedge with one Ni(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-14°. The Ni(11)-O(17) bond length is 1.91 Å. The Ni(11)-O(18) bond length is 1.94 Å. The Ni(11)-O(19) bond length is 2.11 Å. The Ni(11)-O(22) bond length is 1.94 Å. The Ni(11)-O(25) bond length is 2.11 Å. The Ni(11)-O(26) bond length is 1.87 Å. In the twelfth Ni site, Ni(12) is bonded to one O(21), one O(22), one O(24), one O(25), one O(3), and one O(4) atom to form NiO6 octahedra that share  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(6)O6 octahedra, corners with two equivalent 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(7)O6 octahedra,  an edgeedge with one Li(9)O6 octahedra,  an edgeedge with one Ni(1)O6 octahedra,  an edgeedge with one Ni(11)O6 octahedra,  an edgeedge with one Ni(3)O6 octahedra,  an edgeedge with one Ni(4)O6 octahedra,  an edgeedge with one Ni(8)O6 octahedra, and  an edgeedge with one Ni(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-10°. The Ni(12)-O(21) bond length is 1.89 Å. The Ni(12)-O(22) bond length is 1.89 Å. The Ni(12)-O(24) bond length is 1.90 Å. The Ni(12)-O(25) bond length is 1.92 Å. The Ni(12)-O(3) bond length is 1.89 Å. The Ni(12)-O(4) bond length is 1.92 Å. There are twenty-six inequivalent O sites. In the first O site, O(1) is bonded to one Li(1), one Li(7), one Mg(1), one Ni(10), and one Ni(2) atom to form OLi2MgNi2 square pyramids that share  a cornercorner with one O(14)Li3Ni3 octahedra,  a cornercorner with one O(7)Li2MgNi2 square pyramid,  a cornercorner with one O(10)Li2Ni3 square pyramid,  a cornercorner with one O(16)Li2Ni3 square pyramid,  a cornercorner with one O(24)Li2Ni3 square pyramid,  a cornercorner with one O(4)Li2Ni3 square pyramid,  a cornercorner with one O(8)Li2Ni3 square pyramid, corners with two equivalent O(26)Li2MgNi2 square pyramids,  an edgeedge with one O(18)Li3MgNi2 octahedra,  an edgeedge with one O(2)Li3Ni3 octahedra,  an edgeedge with one O(20)Li2MgNi2 square pyramid,  an edgeedge with one O(9)Li2MgNi2 square pyramid,  an edgeedge with one O(15)Li2Ni3 square pyramid,  an edgeedge with one O(22)Li2Ni3 square pyramid,  an edgeedge with one O(23)Li2Ni3 square pyramid, and  an edgeedge with one O(5)Li2Ni3 square pyramid. The corner-sharing octahedral tilt angles are 8°. In the second O site, O(2) is bonded to one Li(2), one Li(3), one Li(8), one Ni(1), one Ni(10), and one Ni(2) atom to form OLi3Ni3 octahedra that share  a cornercorner with one O(18)Li3MgNi2 octahedra,  a cornercorner with one O(15)Li2Ni3 square pyramid,  a cornercorner with one O(17)Li2Ni3 square pyramid,  a cornercorner with one O(8)Li2Ni3 square pyramid, corners with two equivalent O(3)Li2Ni3 square pyramids,  an edgeedge with one O(11)Li3Ni3 octahedra,  an edgeedge with one O(1)Li2MgNi2 square pyramid,  an edgeedge with one O(20)Li2MgNi2 square pyramid,  an edgeedge with one O(7)Li2MgNi2 square pyramid,  an edgeedge with one O(9)Li2MgNi2 square pyramid,  an edgeedge with one O(10)Li2Ni3 square pyramid,  an edgeedge with one O(16)Li2Ni3 square pyramid,  an edgeedge with one O(23)Li2Ni3 square pyramid,  an edgeedge with one O(24)Li2Ni3 square pyramid,  an edgeedge with one O(25)Li2Ni3 square pyramid,  an edgeedge with one O(5)Li2Ni3 square pyramid, and  an edgeedge with one O(6)Li2Ni3 square pyramid. The corner-sharing octahedra are not tilted. In the third O site, O(3) is bonded to one Li(2), one Li(9), one Ni(1), one Ni(12), and one Ni(4) atom to form OLi2Ni3 square pyramids that share  a cornercorner with one O(14)Li3Ni3 octahedra, corners with two equivalent O(2)Li3Ni3 octahedra,  a cornercorner with one O(26)Li2MgNi2 square pyramid,  a cornercorner with one O(9)Li2MgNi2 square pyramid,  a cornercorner with one O(19)Li2Ni3 square pyramid,  a cornercorner with one O(22)Li2Ni3 square pyramid,  a cornercorner with one O(5)Li2Ni3 square pyramid,  a cornercorner with one O(13)LiNi3 trigonal pyramid,  an edgeedge with one O(11)Li3Ni3 octahedra,  an edgeedge with one O(20)Li2MgNi2 square pyramid,  an edgeedge with one O(21)Li2Ni3 square pyramid,  an edgeedge with one O(23)Li2Ni3 square pyramid,  an edgeedge with one O(24)Li2Ni3 square pyramid,  an edgeedge with one O(25)Li2Ni3 square pyramid,  an edgeedge with one O(4)Li2Ni3 square pyramid, and  an edgeedge with one O(6)Li2Ni3 square pyramid. The corner-sharing octahedral tilt angles range from 4-6°. In the fourth O site, O(4) is bonded to one Li(1), one Li(4), one Ni(12), one Ni(3), and one Ni(4) atom to form OLi2Ni3 square pyramids that share  a cornercorner with one O(1)Li2MgNi2 square pyramid,  a cornercorner with one O(7)Li2MgNi2 square pyramid,  a cornercorner with one O(15)Li2Ni3 square pyramid,  a cornercorner with one O(21)Li2Ni3 square pyramid,  a cornercorner with one O(23)Li2Ni3 square pyramid,  a cornercorner with one O(24)Li2Ni3 square pyramid,  a cornercorner with one O(6)Li2Ni3 square pyramid,  a cornercorner with one O(8)Li2Ni3 square pyramid,  a cornercorner with one O(13)LiNi3 trigonal pyramid,  an edgeedge with one O(11)Li3Ni3 octahedra,  an edgeedge with one O(14)Li3Ni3 octahedra,  an edgeedge with one O(26)Li2MgNi2 square pyramid,  an edgeedge with one O(22)Li2Ni3 square pyramid,  an edgeedge with one O(25)Li2Ni3 square pyramid,  an edgeedge with one O(3)Li2Ni3 square pyramid, and  an edgeedge with one O(5)Li2Ni3 square pyramid. In the fifth O site, O(5) is bonded to one Li(1), one Li(4), one Ni(1), one Ni(2), and one Ni(5) atom to form OLi2Ni3 square pyramids that share  a cornercorner with one O(14)Li3Ni3 octahedra,  a cornercorner with one O(26)Li2MgNi2 square pyramid,  a cornercorner with one O(9)Li2MgNi2 square pyramid,  a cornercorner with one O(16)Li2Ni3 square pyramid,  a cornercorner with one O(22)Li2Ni3 square pyramid,  a cornercorner with one O(24)Li2Ni3 square pyramid,  a cornercorner with one O(3)Li2Ni3 square pyramid,  a cornercorner with one O(13)LiNi3 trigonal pyramid,  an edgeedge with one O(2)Li3Ni3 octahedra,  an edgeedge with one O(1)Li2MgNi2 square pyramid,  an edgeedge with one O(10)Li2Ni3 square pyramid,  an edgeedge with one O(15)Li2Ni3 square pyramid,  an edgeedge with one O(23)Li2Ni3 square pyramid,  an edgeedge with one O(4)Li2Ni3 square pyramid,  an edgeedge with one O(6)Li2Ni3 square pyramid, and  an edgeedge with one O(8)Li2Ni3 square pyramid. The corner-sharing octahedral tilt angles are 8°. In the sixth O site, O(6) is bonded to one Li(3), one Li(5), one Ni(1), one Ni(4), and one Ni(5) atom to form OLi2Ni3 square pyramids that share  a cornercorner with one O(18)Li3MgNi2 octahedra, corners with two equivalent O(11)Li3Ni3 octahedra,  a cornercorner with one O(7)Li2MgNi2 square pyramid,  a cornercorner with one O(15)Li2Ni3 square pyramid,  a cornercorner with one O(23)Li2Ni3 square pyramid,  a cornercorner with one O(24)Li2Ni3 square pyramid,  a cornercorner with one O(4)Li2Ni3 square pyramid,  a cornercorner with one O(8)Li2Ni3 square pyramid,  an edgeedge with one O(14)Li3Ni3 octahedra,  an edgeedge with one O(2)Li3Ni3 octahedra,  an edgeedge with one O(10)Li2Ni3 square pyramid,  an edgeedge with one O(16)Li2Ni3 square pyramid,  an edgeedge with one O(17)Li2Ni3 square pyramid,  an edgeedge with one O(3)Li2Ni3 square pyramid,  an edgeedge with one O(5)Li2Ni3 square pyramid, and  an edgeedge with one O(13)LiNi3 trigonal pyramid. The corner-sharing octahedral tilt angles range from 1-4°. In the seventh O site, O(7) is bonded to one Li(3), one Li(8), one Mg(1), one Ni(3), and one Ni(7) atom to form OLi2MgNi2 square pyramids that share  a cornercorner with one O(1)Li2MgNi2 square pyramid,  a cornercorner with one O(20)Li2MgNi2 square pyramid,  a cornercorner with one O(10)Li2Ni3 square pyramid,  a cornercorner with one O(16)Li2Ni3 square pyramid,  a cornercorner with one O(19)Li2Ni3 square pyramid,  a cornercorner with one O(24)Li2Ni3 square pyramid,  a cornercorner with one O(4)Li2Ni3 square pyramid,  a cornercorner with one O(6)Li2Ni3 square pyramid,  a cornercorner with one O(8)Li2Ni3 square pyramid,  an edgeedge with one O(18)Li3MgNi2 octahedra,  an edgeedge with one O(11)Li3Ni3 octahedra,  an edgeedge with one O(2)Li3Ni3 octahedra,  an edgeedge with one O(26)Li2MgNi2 square pyramid,  an edgeedge with one O(9)Li2MgNi2 square pyramid,  an edgeedge with one O(17)Li2Ni3 square pyramid, and  an edgeedge with one O(25)Li2Ni3 square pyramid. In the eighth O site, O(8) is bonded to one Li(4), one Li(5), one Ni(2), one Ni(6), and one Ni(7) atom to form OLi2Ni3 square pyramids that share  a cornercorner with one O(2)Li3Ni3 octahedra,  a cornercorner with one O(1)Li2MgNi2 square pyramid,  a cornercorner with one O(20)Li2MgNi2 square pyramid,  a cornercorner with one O(7)Li2MgNi2 square pyramid,  a cornercorner with one O(16)Li2Ni3 square pyramid,  a cornercorner with one O(4)Li2Ni3 square pyramid,  a cornercorner with one O(6)Li2Ni3 square pyramid,  an edgeedge with one O(18)Li3MgNi2 octahedra,  an edgeedge with one O(14)Li3Ni3 octahedra,  an edgeedge with one O(9)Li2MgNi2 square pyramid,  an edgeedge with one O(10)Li2Ni3 square pyramid,  an edgeedge with one O(15)Li2Ni3 square pyramid,  an edgeedge with one O(17)Li2Ni3 square pyramid,  an edgeedge with one O(19)Li2Ni3 square pyramid, and  an edgeedge with one O(5)Li2Ni3 square pyramid. The corner-sharing octahedral tilt angles are 4°. In the ninth O site, O(9) is bonded to one Li(2), one Li(6), one Mg(1), one Ni(2), and one Ni(7) atom to form OLi2MgNi2 square pyramids that share  a cornercorner with one O(18)Li3MgNi2 octahedra,  a cornercorner with one O(26)Li2MgNi2 square pyramid,  a cornercorner with one O(17)Li2Ni3 square pyramid,  a cornercorner with one O(21)Li2Ni3 square pyramid,  a cornercorner with one O(25)Li2Ni3 square pyramid,  a cornercorner with one O(3)Li2Ni3 square pyramid,  a cornercorner with one O(5)Li2Ni3 square pyramid,  a cornercorner with one O(13)LiNi3 trigonal pyramid,  an edgeedge with one O(11)Li3Ni3 octahedra,  an edgeedge with one O(2)Li3Ni3 octahedra,  an edgeedge with one O(1)Li2MgNi2 square pyramid,  an edgeedge with one O(20)Li2MgNi2 square pyramid,  an edgeedge with one O(7)Li2MgNi2 square pyramid,  an edgeedge with one O(10)Li2Ni3 square pyramid,  an edgeedge with one O(19)Li2Ni3 square pyramid, and  an edgeedge with one O(8)Li2Ni3 square pyramid. The corner-sharing octahedral tilt angles are 1°. In the tenth O site, O(10) is bonded to one Li(3), one Li(6), one Ni(2), one Ni(5), and one Ni(6) atom to form OLi2Ni3 square pyramids that share  a cornercorner with one O(18)Li3MgNi2 octahedra,  a cornercorner with one O(1)Li2MgNi2 square pyramid,  a cornercorner with one O(20)Li2MgNi2 square pyramid,  a cornercorner with one O(7)Li2MgNi2 square pyramid,  a cornercorner with one O(16)Li2Ni3 square pyramid,  a cornercorner with one O(17)Li2Ni3 square pyramid,  a cornercorner with one O(21)Li2Ni3 square pyramid, corners with two equivalent O(13)LiNi3 trigonal pyramids,  an edgeedge with one O(11)Li3Ni3 octahedra,  an edgeedge with one O(2)Li3Ni3 octahedra,  an edgeedge with one O(9)Li2MgNi2 square pyramid,  an edgeedge with one O(15)Li2Ni3 square pyramid,  an edgeedge with one O(19)Li2Ni3 square pyramid,  an edgeedge with one O(5)Li2Ni3 square pyramid,  an edgeedge with one O(6)Li2Ni3 square pyramid, and  an edgeedge with one O(8)Li2Ni3 square pyramid. The corner-sharing octahedral tilt angles are 4°. In the eleventh O site, O(11) is bonded to one Li(2), one Li(3), one Li(6), one Ni(3), one Ni(4), and one Ni(8) atom to form OLi3Ni3 octahedra that share  a cornercorner with one O(20)Li2MgNi2 square pyramid,  a cornercorner with one O(26)Li2MgNi2 square pyramid,  a cornercorner with one O(19)Li2Ni3 square pyramid,  a cornercorner with one O(22)Li2Ni3 square pyramid, corners with two equivalent O(6)Li2Ni3 square pyramids,  an edgeedge with one O(14)Li3Ni3 octahedra,  an edgeedge with one O(2)Li3Ni3 octahedra,  an edgeedge with one O(7)Li2MgNi2 square pyramid,  an edgeedge with one O(9)Li2MgNi2 square pyramid,  an edgeedge with one O(10)Li2Ni3 square pyramid,  an edgeedge with one O(17)Li2Ni3 square pyramid,  an edgeedge with one O(21)Li2Ni3 square pyramid,  an edgeedge with one O(25)Li2Ni3 square pyramid,  an edgeedge with one O(3)Li2Ni3 square pyramid,  an edgeedge with one O(4)Li2Ni3 square pyramid, and  an edgeedge with one O(13)LiNi3 trigonal pyramid. In the twelfth O site, O(12) is bonded in a rectangular see-saw-like geometry to one Li(4), one Ni(3), one Ni(7), and one Ni(8) atom. In the thirteenth O site, O(13) is bonded to one Li(6), one Ni(4), one Ni(5), and one Ni(9) atom to form OLiNi3 trigonal pyramids that share  a cornercorner with one O(9)Li2MgNi2 square pyramid,  a cornercorner with one O(15)Li2Ni3 square pyramid,  a cornercorner with one O(19)Li2Ni3 square pyramid,  a cornercorner with one O(23)Li2Ni3 square pyramid,  a cornercorner with one O(24)Li2Ni3 square pyramid,  a cornercorner with one O(3)Li2Ni3 square pyramid,  a cornercorner with one O(4)Li2Ni3 square pyramid,  a cornercorner with one O(5)Li2Ni3 square pyramid, corners with two equivalent O(10)Li2Ni3 square pyramids,  an edgeedge with one O(11)Li3Ni3 octahedra,  an edgeedge with one O(14)Li3Ni3 octahedra,  an edgeedge with one O(16)Li2Ni3 square pyramid,  an edgeedge with one O(21)Li2Ni3 square pyramid, and  an edgeedge with one O(6)Li2Ni3 square pyramid. In the fourteenth O site, O(14) is bonded to one Li(4), one Li(5), one Li(7), one Ni(4), one Ni(8), and one Ni(9) atom to form OLi3Ni3 octahedra that share  a cornercorner with one O(1)Li2MgNi2 square pyramid,  a cornercorner with one O(23)Li2Ni3 square pyramid,  a cornercorner with one O(3)Li2Ni3 square pyramid,  a cornercorner with one O(5)Li2Ni3 square pyramid, corners with two equivalent O(17)Li2Ni3 square pyramids,  an edgeedge with one O(18)Li3MgNi2 octahedra,  an edgeedge with one O(11)Li3Ni3 octahedra,  an edgeedge with one O(15)Li2Ni3 square pyramid,  an edgeedge with one O(16)Li2Ni3 square pyramid,  an edgeedge with one O(21)Li2Ni3 square pyramid,  an edgeedge with one O(22)Li2Ni3 square pyramid,  an edgeedge with one O(24)Li2Ni3 square pyramid,  an edgeedge with one O(4)Li2Ni3 square pyramid,  an edgeedge with one O(6)Li2Ni3 square pyramid,  an edgeedge with one O(8)Li2Ni3 square pyramid, and  an edgeedge with one O(13)LiNi3 trigonal pyramid. In the fifteenth O site, O(15) is bonded to one Li(4), one Li(7), one Ni(10), one Ni(5), and one Ni(6) atom to form OLi2Ni3 square pyramids that share  a cornercorner with one O(2)Li3Ni3 octahedra,  a cornercorner with one O(19)Li2Ni3 square pyramid,  a cornercorner with one O(22)Li2Ni3 square pyramid,  a cornercorner with one O(23)Li2Ni3 square pyramid,  a cornercorner with one O(24)Li2Ni3 square pyramid,  a cornercorner with one O(4)Li2Ni3 square pyramid,  a cornercorner with one O(6)Li2Ni3 square pyramid,  a cornercorner with one O(13)LiNi3 trigonal pyramid,  an edgeedge with one O(18)Li3MgNi2 octahedra,  an edgeedge with one O(14)Li3Ni3 octahedra,  an edgeedge with one O(1)Li2MgNi2 square pyramid,  an edgeedge with one O(20)Li2MgNi2 square pyramid,  an edgeedge with one O(10)Li2Ni3 square pyramid,  an edgeedge with one O(16)Li2Ni3 square pyramid,  an edgeedge with one O(5)Li2Ni3 square pyramid, and  an edgeedge with one O(8)Li2Ni3 square pyramid. The corner-sharing octahedral tilt angles are 3°. In the sixteenth O site, O(16) is bonded to one Li(5), one Li(8), one Ni(10), one Ni(5), and one Ni(9) atom to form OLi2Ni3 square pyramids that share  a cornercorner with one O(1)Li2MgNi2 square pyramid,  a cornercorner with one O(20)Li2MgNi2 square pyramid,  a cornercorner with one O(7)Li2MgNi2 square pyramid,  a cornercorner with one O(10)Li2Ni3 square pyramid,  a cornercorner with one O(17)Li2Ni3 square pyramid,  a cornercorner with one O(21)Li2Ni3 square pyramid,  a cornercorner with one O(25)Li2Ni3 square pyramid,  a cornercorner with one O(5)Li2Ni3 square pyramid,  a cornercorner with one O(8)Li2Ni3 square pyramid,  an edgeedge with one O(18)Li3MgNi2 octahedra,  an edgeedge with one O(14)Li3Ni3 octahedra,  an edgeedge with one O(2)Li3Ni3 octahedra,  an edgeedge with one O(15)Li2Ni3 square pyramid,  an edgeedge with one O(23)Li2Ni3 square pyramid,  an edgeedge with one O(24)Li2Ni3 square pyramid,  an edgeedge with one O(6)Li2Ni3 square pyramid, and  an edgeedge with one O(13)LiNi3 trigonal pyramid. In the seventeenth O site, O(17) is bonded to one Li(3), one Li(5), one Ni(11), one Ni(7), and one Ni(8) atom to form OLi2Ni3 square pyramids that share  a cornercorner with one O(2)Li3Ni3 octahedra, corners with two equivalent O(14)Li3Ni3 octahedra,  a cornercorner with one O(26)Li2MgNi2 square pyramid,  a cornercorner with one O(9)Li2MgNi2 square pyramid,  a cornercorner with one O(10)Li2Ni3 square pyramid,  a cornercorner with one O(16)Li2Ni3 square pyramid,  a cornercorner with one O(21)Li2Ni3 square pyramid,  a cornercorner with one O(25)Li2Ni3 square pyramid,  an edgeedge with one O(18)Li3MgNi2 octahedra,  an edgeedge with one O(11)Li3Ni3 octahedra,  an edgeedge with one O(7)Li2MgNi2 square pyramid,  an edgeedge with one O(19)Li2Ni3 square pyramid,  an edgeedge with one O(22)Li2Ni3 square pyramid,  an edgeedge with one O(6)Li2Ni3 square pyramid, and  an edgeedge with one O(8)Li2Ni3 square pyramid. The corner-sharing octahedral tilt angles range from 5-7°. In the eighteenth O site, O(18) is bonded to one Li(5), one Li(7), one Li(8), one Mg(1), one Ni(11), and one Ni(6) atom to form OLi3MgNi2 octahedra that share  a cornercorner with one O(2)Li3Ni3 octahedra,  a cornercorner with one O(9)Li2MgNi2 square pyramid,  a cornercorner with one O(10)Li2Ni3 square pyramid,  a cornercorner with one O(6)Li2Ni3 square pyramid, corners with two equivalent O(22)Li2Ni3 square pyramids,  an edgeedge with one O(14)Li3Ni3 octahedra,  an edgeedge with one O(1)Li2MgNi2 square pyramid,  an edgeedge with one O(20)Li2MgNi2 square pyramid,  an edgeedge with one O(26)Li2MgNi2 square pyramid,  an edgeedge with one O(7)Li2MgNi2 square pyramid,  an edgeedge with one O(15)Li2Ni3 square pyramid,  an edgeedge with one O(16)Li2Ni3 square pyramid,  an edgeedge with one O(17)Li2Ni3 square pyramid,  an edgeedge with one O(19)Li2Ni3 square pyramid,  an edgeedge with one O(24)Li2Ni3 square pyramid,  an edgeedge with one O(25)Li2Ni3 square pyramid, and  an edgeedge with one O(8)Li2Ni3 square pyramid. The corner-sharing octahedra are not tilted. In the nineteenth O site, O(19) is bonded to one Li(6), one Li(9), one Ni(11), one Ni(6), and one Ni(7) atom to form OLi2Ni3 square pyramids that share  a cornercorner with one O(11)Li3Ni3 octahedra,  a cornercorner with one O(7)Li2MgNi2 square pyramid,  a cornercorner with one O(15)Li2Ni3 square pyramid,  a cornercorner with one O(22)Li2Ni3 square pyramid,  a cornercorner with one O(23)Li2Ni3 square pyramid,  a cornercorner with one O(25)Li2Ni3 square pyramid,  a cornercorner with one O(3)Li2Ni3 square pyramid,  a cornercorner with one O(13)LiNi3 trigonal pyramid,  an edgeedge with one O(18)Li3MgNi2 octahedra,  an edgeedge with one O(20)Li2MgNi2 square pyramid,  an edgeedge with one O(26)Li2MgNi2 square pyramid,  an edgeedge with one O(9)Li2MgNi2 square pyramid,  an edgeedge with one O(10)Li2Ni3 square pyramid,  an edgeedge with one O(17)Li2Ni3 square pyramid,  an edgeedge with one O(21)Li2Ni3 square pyramid, and  an edgeedge with one O(8)Li2Ni3 square pyramid. The corner-sharing octahedral tilt angles are 11°. In the twentieth O site, O(20) is bonded to one Li(2), one Li(9), one Mg(1), one Ni(10), and one Ni(6) atom to form OLi2MgNi2 square pyramids that share  a cornercorner with one O(11)Li3Ni3 octahedra,  a cornercorner with one O(7)Li2MgNi2 square pyramid,  a cornercorner with one O(10)Li2Ni3 square pyramid,  a cornercorner with one O(16)Li2Ni3 square pyramid,  a cornercorner with one O(21)Li2Ni3 square pyramid,  a cornercorner with one O(25)Li2Ni3 square pyramid,  a cornercorner with one O(8)Li2Ni3 square pyramid, corners with two equivalent O(23)Li2Ni3 square pyramids,  an edgeedge with one O(18)Li3MgNi2 octahedra,  an edgeedge with one O(2)Li3Ni3 octahedra,  an edgeedge with one O(1)Li2MgNi2 square pyramid,  an edgeedge with one O(26)Li2MgNi2 square pyramid,  an edgeedge with one O(9)Li2MgNi2 square pyramid,  an edgeedge with one O(15)Li2Ni3 square pyramid,  an edgeedge with one O(19)Li2Ni3 square pyramid, and  an edgeedge with one O(3)Li2Ni3 square pyramid. The corner-sharing octahedral tilt angles are 6°. In the twenty-first O site, O(21) is bonded to one Li(6), one Li(9), one Ni(12), one Ni(8), and one Ni(9) atom to form OLi2Ni3 square pyramids that share  a cornercorner with one O(20)Li2MgNi2 square pyramid,  a cornercorner with one O(26)Li2MgNi2 square pyramid,  a cornercorner with one O(9)Li2MgNi2 square pyramid,  a cornercorner with one O(10)Li2Ni3 square pyramid,  a cornercorner with one O(16)Li2Ni3 square pyramid,  a cornercorner with one O(17)Li2Ni3 square pyramid,  a cornercorner with one O(25)Li2Ni3 square pyramid,  a cornercorner with one O(4)Li2Ni3 square pyramid,  an edgeedge with one O(11)Li3Ni3 octahedra,  an edgeedge with one O(14)Li3Ni3 octahedra,  an edgeedge with one O(19)Li2Ni3 square pyramid,  an edgeedge with one O(22)Li2Ni3 square pyramid,  an edgeedge with one O(23)Li2Ni3 square pyramid,  an edgeedge with one O(24)Li2Ni3 square pyramid,  an edgeedge with one O(3)Li2Ni3 square pyramid, and  an edgeedge with one O(13)LiNi3 trigonal pyramid. In the twenty-second O site, O(22) is bonded to one Li(1), one Li(7), one Ni(11), one Ni(12), and one Ni(8) atom to form OLi2Ni3 square pyramids that share  a cornercorner with one O(11)Li3Ni3 octahedra, corners with two equivalent O(18)Li3MgNi2 octahedra,  a cornercorner with one O(15)Li2Ni3 square pyramid,  a cornercorner with one O(19)Li2Ni3 square pyramid,  a cornercorner with one O(23)Li2Ni3 square pyramid,  a cornercorner with one O(3)Li2Ni3 square pyramid,  a cornercorner with one O(5)Li2Ni3 square pyramid,  an edgeedge with one O(14)Li3Ni3 octahedra,  an edgeedge with one O(1)Li2MgNi2 square pyramid,  an edgeedge with one O(26)Li2MgNi2 square pyramid,  an edgeedge with one O(17)Li2Ni3 square pyramid,  an edgeedge with one O(21)Li2Ni3 square pyramid,  an edgeedge with one O(24)Li2Ni3 square pyramid,  an edgeedge with one O(25)Li2Ni3 square pyramid, and  an edgeedge with one O(4)Li2Ni3 square pyramid. The corner-sharing octahedral tilt angles range from 2-7°. In the twenty-third O site, O(23) is bonded to one Li(1), one Li(9), one Ni(1), one Ni(10), and one Ni(9) atom to form OLi2Ni3 square pyramids that share  a cornercorner with one O(14)Li3Ni3 octahedra,  a cornercorner with one O(15)Li2Ni3 square pyramid,  a cornercorner with one O(19)Li2Ni3 square pyramid,  a cornercorner with one O(22)Li2Ni3 square pyramid,  a cornercorner with one O(4)Li2Ni3 square pyramid,  a cornercorner with one O(6)Li2Ni3 square pyramid, corners with two equivalent O(20)Li2MgNi2 square pyramids,  a cornercorner with one O(13)LiNi3 trigonal pyramid,  an edgeedge with one O(2)Li3Ni3 octahedra,  an edgeedge with one O(1)Li2MgNi2 square pyramid,  an edgeedge with one O(26)Li2MgNi2 square pyramid,  an edgeedge with one O(16)Li2Ni3 square pyramid,  an edgeedge with one O(21)Li2Ni3 square pyramid,  an edgeedge with one O(24)Li2Ni3 square pyramid,  an edgeedge with one O(3)Li2Ni3 square pyramid, and  an edgeedge with one O(5)Li2Ni3 square pyramid. The corner-sharing octahedral tilt angles are 3°. In the twenty-fourth O site, O(24) is bonded to one Li(7), one Li(8), one Ni(1), one Ni(12), and one Ni(9) atom to form OLi2Ni3 square pyramids that share  a cornercorner with one O(1)Li2MgNi2 square pyramid,  a cornercorner with one O(7)Li2MgNi2 square pyramid,  a cornercorner with one O(15)Li2Ni3 square pyramid,  a cornercorner with one O(4)Li2Ni3 square pyramid,  a cornercorner with one O(5)Li2Ni3 square pyramid,  a cornercorner with one O(6)Li2Ni3 square pyramid, corners with two equivalent O(25)Li2Ni3 square pyramids,  a cornercorner with one O(13)LiNi3 trigonal pyramid,  an edgeedge with one O(18)Li3MgNi2 octahedra,  an edgeedge with one O(14)Li3Ni3 octahedra,  an edgeedge with one O(2)Li3Ni3 octahedra,  an edgeedge with one O(16)Li2Ni3 square pyramid,  an edgeedge with one O(21)Li2Ni3 square pyramid,  an edgeedge with one O(22)Li2Ni3 square pyramid,  an edgeedge with one O(23)Li2Ni3 square pyramid, and  an edgeedge with one O(3)Li2Ni3 square pyramid. In the twenty-fifth O site, O(25) is bonded to one Li(2), one Li(8), one Ni(11), one Ni(12), and one Ni(3) atom to form OLi2Ni3 square pyramids that share  a cornercorner with one O(20)Li2MgNi2 square pyramid,  a cornercorner with one O(9)Li2MgNi2 square pyramid,  a cornercorner with one O(16)Li2Ni3 square pyramid,  a cornercorner with one O(17)Li2Ni3 square pyramid,  a cornercorner with one O(19)Li2Ni3 square pyramid,  a cornercorner with one O(21)Li2Ni3 square pyramid, corners with two equivalent O(24)Li2Ni3 square pyramids,  an edgeedge with one O(18)Li3MgNi2 octahedra,  an edgeedge with one O(11)Li3Ni3 octahedra,  an edgeedge with one O(2)Li3Ni3 octahedra,  an edgeedge with one O(26)Li2MgNi2 square pyramid,  an edgeedge with one O(7)Li2MgNi2 square pyramid,  an edgeedge with one O(22)Li2Ni3 square pyramid,  an edgeedge with one O(3)Li2Ni3 square pyramid, and  an edgeedge with one O(4)Li2Ni3 square pyramid. In the twenty-sixth O site, O(26) is bonded to one Li(1), one Li(9), one Mg(1), one Ni(11), and one Ni(3) atom to form OLi2MgNi2 square pyramids that share  a cornercorner with one O(11)Li3Ni3 octahedra,  a cornercorner with one O(9)Li2MgNi2 square pyramid,  a cornercorner with one O(17)Li2Ni3 square pyramid,  a cornercorner with one O(21)Li2Ni3 square pyramid,  a cornercorner with one O(3)Li2Ni3 square pyramid,  a cornercorner with one O(5)Li2Ni3 square pyramid, corners with two equivalent O(1)Li2MgNi2 square pyramids,  an edgeedge with one O(18)Li3MgNi2 octahedra,  an edgeedge with one O(20)Li2MgNi2 square pyramid,  an edgeedge with one O(7)Li2MgNi2 square pyramid,  an edgeedge with one O(19)Li2Ni3 square pyramid,  an edgeedge with one O(22)Li2Ni3 square pyramid,  an edgeedge with one O(23)Li2Ni3 square pyramid,  an edgeedge with one O(25)Li2Ni3 square pyramid, and  an edgeedge with one O(4)Li2Ni3 square pyramid. The corner-sharing octahedral tilt angles are 2°.