NOVELTY - The positive electrode active material comprises a lithium-containing complex oxide capable of intercalating lithium ions, lithium carbonate provided on surface of lithium-containing complex oxide, metal carbonate provided on the surface of the lithium-containing complex oxide, and at least one kind of functional group containing molecule provided on the surface of lithium-containing complex oxide.    USE - For non-aqueous electrolyte secondary battery (claimed) used for portable electronic equipment such as portable telephone, notebook type personal computer and video camcorder.    ADVANTAGE - The coating of stable materials on surface of lithium containing complex oxides inhibits direct contact between the complex oxide and electrolytic solution, thereby inhibiting metal elution caused by the reaction between the surface of positive electrode and electrolytic solution during high temperature storage. The structure thus inhibits decrease in charge-discharge capacity and generation of gases caused by high temperature storage. The battery using positive electrode active material has improved capacity when used at charge-end voltage of 4.3-4.5 V.    DETAILED DESCRIPTION - The positive electrode active material comprises a lithium-containing complex oxide capable of intercalating lithium ions, lithium carbonate provided on surface of lithium-containing complex oxide, metal carbonate (MI2CO3) provided on the surface of lithium-containing complex oxide, and lithium carbonate excluded from metal carbonate, and at least one kind of molecules of formula R-COOM2 provided on the surface of lithium-containing complex oxide.    MI = hydrogen, sodium, and lithium;    R = alkyl, alkenyl, and alkynyl group; and    M2 = hydrogen, sodium and lithium.    INDEPENDENT CLAIMS are included for the following:    (1) non-aqueous electrolyte secondary battery;    (2) method of fabricating positive electrode active material for non-aqueous electrolyte secondary battery; and    (3) method of charging a non-aqueous electrolyte secondary battery.    DESCRIPTION OF DRAWING(S) - The figure shows exploded perspective view of partial cross-section of non-aqueous electrolyte secondary battery.    Positive electrode (1)    Positive lead (2)    Negative electrode (3)    Negative lead (4)    Separator (5)