ELECTRONIC-STRUCTURE OF A FRACTAL CLUSTER OF CARBON-ATOMS IN THE SP(2) HYBRIDIZATION CALCULATED BY THE HUCKEL-METHOD

The electronic structure of a fractal aggregate of carbon atoms in the sp(2) hybridization is calculated by the Huckel method. We have first constructed a fractal cluster of carbon atoms which has a fractal dim ension D. To determine the electronic structure of this cluster, we ha ve used two methods: the direct diagonalization, and a method based on the decomposition of the Huckel matrix. We got finally the density of states (DOS) which has properties of similarity for different sizes o f the clusters.