Investigation of anomalous diffusion and multifractal dimensions in polypyrrole film

The fractal dimensions of polypyrrole (PPy) film electrodeposited on the glassy carbon (GC) electrode formed in the presence of ClO 4 - is obtained by cyclic voltammetry (CV) and electrochemical impedance spectroscopy (EIS) methods in different film thicknesses and various synthesis temperatures. Atomic force microscopy (AFM) technique was employed to analyze fractal structure of film. Anomalous diffusion through the film in which mean squared displacement of particles has not a linear dependence with time ( 〈 x 2 〉 ∝ t γ ) has been discussed and values of γ that is the characteristic of anomalous diffusion is obtained by EIS method and then the relation between fractal dimension and anomalous diffusion has been investigated.