Surface Electronic Stater on Fractal

The rapid development of nonlinear science enables the further and wider studies on the complex phenomena which often are nonlinear problems in the nature. In recent years, the nonlinear problems in chemistry have caught much attention and studies. Generally speaking,the nonlinear problems are often with two kinds complexities: the complex shapes and kinetic behaviours. As well known, fractal has been a effective term to discribe complex objects,including the irregular surface of heterogeneous catalysts, and surface of rough electrodes. In this paper, based on the approximute fourier transform W（k） of height-height correlation function on fractal from Palasantzas¹⁶, we investigate the localizahon of electronic states on fractal surface. Our adults show that the localization depends not only on the mean-square roughnessa \sigma and the correlation length \xi, but also the fractal dimension of the stirface. Moreover, the localization bornes stronger with the increasing of fractal dimension.