NOVELTY - Lithium-ion cell (I) comprises: a cathode comprising a carbon or graphitic material e.g. graphite worms, expanded graphite and exfoliated activated carbon as the only cathode active material having a surface area to capture and store lithium on it; an anode comprising an anode active material that is mixed with a conductive additive and/or a resin binder to form a porous electrode structure, or coated onto a current collector in a coating or thin film form, and is not pre-lithiated and is lithium-free when the cell is made; porous separator; lithium-containing electrolyte; and lithium source.    USE - Used as lithium-ion cell.    ADVANTAGE - The lithium-ion cells exhibit high energy density and high power density when compared to conventional rechargeable lithium-ion cells ever reported in battery industry.    DETAILED DESCRIPTION - Lithium-ion cell (I) comprises: a cathode comprising a carbon or graphitic material such as graphite worms, exfoliated graphite flakes, expanded graphite, chemically treated graphite with an inter-graphene planar separation no less than 0.4 nm, chemically etched or expanded soft carbon, chemically etched or expanded hard carbon, exfoliated activated carbon, chemically etched or expanded carbon black, chemically expanded multi-walled carbon nanotube and/or chemically expanded carbon nanofiber as the only cathode active material having a surface area to capture and store lithium on it, where the cathode forms a mesoporous structure having a pore size of 2-50 nm and a specific surface area greater than 50 m2/g; an anode comprising an anode active material having a lithium-storing capacity no less than 400 mAh/g, where the anode active material is mixed with a conductive additive and/or a resin binder to form a porous electrode structure, or coated onto a current collector in a coating or thin film form, and is not pre-lithiated and is lithium-free when the cell is made; a porous separator disposed between the anode and the cathode; a lithium-containing electrolyte in ionic contact with the anode and the cathode; and a lithium source disposed in at least one of the cathode or anode when the cell is made.