NOVELTY - The rechargeable electrical energy storage system comprises a first material capable of intercalating the cation species, and a combination of a second material capable of adsorbing the anion of the species and a third material capable of yielding the cation species. The third material is lithiated transition metal oxides, sulfides, phosphates, or fluorides.    USE - For electrical utilization devices, e.g. personal telecommunications device or electric vehicle.    ADVANTAGE - The invention provides high energy and high power densities, exhibits both high energy density normally associated with batteries and high power density and long operative life typical of super-capacitors, and achieves energy density without loss of contemporary high power density and rapid cycling capability.    DETAILED DESCRIPTION - The rechargeable electrical energy storage system comprises a positive electrode member, a negative electrode member, and a separator member containing fluid electrolyte comprising a pair of ion species of a dissociable salt. One of the electrode members comprises a first material capable of intercalating the cation species in response to the application of an electrical charge of a first polarity. The other electrode member comprises a combination of a second material capable of adsorbing the anion of the species in response to the application of a contemporaneous electrical charge of opposite polarity, and a third material capable of yielding the cation species in response to the application of the contemporaneous electrical charge of opposite polarity. The third material is lithiated transition metal oxides, sulfides, phosphates, or fluorides. An INDEPENDENT CLAIM is also included for a method of improving the high energy charge capacity of the inventive hybrid rechargeable electrical energy storage system by incorporating the second electrode member to a third material.    DESCRIPTION OF DRAWING(S) - The figure shows a cross-sectional elevation of a laminated hybrid battery/super-capacitor system cell structure.    Separator membrane (15)    Current collector (19)