Methods for the production in an electrochemical cell of graphene and graphite nanoplatelet structures having a thickness of less than 100 nm in a cell having a negative electrode which is graphitic and an electrolyte which consists of ions in a solvent, where the cations are sulfur-containing ions or phosphorus containing ions, wherein the method comprises the step of passing a current through the cell to intercalate ions into the graphitic negative electrode so as to exfoliate the graphitic negative electrode.