NOVELTY - A positive electrode active material comprises fine particles of lithium nickel complex oxide with volume density of 3 g/cm3 and volume resistivity of 20-100 Omega .cm.    USE - Positive electrode active material is used positive electrode of non-aqueous electrolyte secondary batteries used in battery type electric vehicle and power tool (all claimed) such as impact driver, impact wrench and driver drill.    ADVANTAGE - The positive electrode active material provides non-aqueous electrolyte secondary batteries having excellent cycle characteristics and output characteristics.    DETAILED DESCRIPTION - INDEPENDENT CLAIMS are included for the following:    (1) manufacture of positive electrode active material, which involves mixing sodium nickel complex oxide whose average primary particle diameter is 8-13 mu m with molten salt containing lithium, heat-processing the obtained mixture, subjecting the mixture to ion-exchange process which exchanges the sodium ion of the complex oxide and lithium ion of the salt, heating the mixture at 600-800 degrees C, and baking the obtained material at 400 degrees C or less which generates lithium nickel complex oxide fine particles;    (2) positive electrode, which has collector and active-material layer containing the lithium nickel complex oxide formed on the surface of the collector;    (3) non-aqueous electrolyte secondary battery, which is provided with battery case enclosing a non-aqueous electrolyte and electrode group having separator between the positive electrode and negative electrode comprising active material capable of occluding and discharging lithium;    (4) battery type electric vehicle, which is equipped with vehicle driven by an electric motor driven by the non-aqueous electrolyte secondary battery; and    (5) power tool, which is equipped with to-be-driven component and electric motor which is driven with non-aqueous electrolyte secondary battery and which drives the to-be-driven component.    DESCRIPTION OF DRAWING(S) - The drawing shows the graph illustrating the relationship between volume resistivity and volume density of lithium nickel complex oxide. (Drawing includes non-English language text)