NOVELTY - Particles of doped lithium cobalt oxides (I) are new.    USE - The particles of (I) are useful for the manufacture of cathodes for rechargeable lithium ion batteries as an active electrochemical material (claimed), where lithium batteries are useful: as energy sources in telecommunications means (e.g. portable or cell phones, video cameras, portable computers, portable stereophonic equipment, pagers and facsimile devices, etc.); and in electrical systems, comprising memory components for electronic apparatuses to electric vehicles.    ADVANTAGE - The particles of (I): provides the rechargeable lithium batteries having improved stability and storage capacity, high energy density, long service life; and exhibits enhanced energy storage, high thermal stability and very high charge/discharge capacities, improved electrical properties of textural stability for the systems based on cobalt lithium oxide and improved safety.    DETAILED DESCRIPTION - Particles of doped lithium cobalt oxides (I) of formula (LiCoyOz.t(MOx)) are new.    MOx = doping agent, which is lanthanide oxides (preferably oxides of Nd, Eu, Sm, Ce (preferred) and/or Tb), and where molar ratios expressed by y, z, t, x produce desired stoichiometric ratios in the particles of doped lithium cobalt oxide, doping agent is nano-sized, and molar ratio y of cobalt is 1-t, the molar ratio z of O ensures electric neutrality of the particles of doped lithium cobalt oxide and the molar ratio x of O is 0.7-1.1.    INDEPENDENT CLAIMS are also included for:    (1) the preparation of the particles of (I);    (2) a cathode for lithium ion batteries comprising the particles of doped lithium cobalt oxide as an active electrochemical material;    (3) a lithium ion battery comprising at least one negative electrode, at least one positive electrode, and at least one separation electrolyte, where the positive electrode comprises the cathode; and    (4) improving the stability and storage capacity of rechargeable lithium ion batteries, where the positive electrode in the batteries comprises the particles of doped lithium cobalt oxide as an active electrochemical material.