Electrodeposited copper foils having adequate puncture strength to withstand both pressure application during consolidation with negative electrode active materials during manufacture, as well as expansion/contraction during repeated charge/discharging cycles when used in a rechargeable secondary battery are described. These copper foils find specific utility as current collectors in rechargeable secondary batteries, particularly in lithium secondary battery with high capacity. Methods of making the copper foils, methods of producing negative electrode for use in lithium secondary battery and lithium secondary battery of high capacity are also described.