A rechargeable lithium ion battery including: a positive electrode including coated particles, wherein each particle includes a core and a coating disposed thereon, wherein the core consists of Li, M, and O, and the coating includes Li, M, O, and AI2O3; wherein: M is (Niz(Ni1/2Mn1/2)yCox)1−kAk; 0.15≤z≤0.50; 0.17≤x≤0.30; 0.35≤y≤0.75; 0