Comparing of the Van-der-waals Energy of the Fullerene in Solids and in Solutions: Dielectric Function Formalism

After last six year e orts which are manifested by hundreds of papers on the physics, chemistry of the fullerenes and the fullerene based materials it is known a lot about the electronic structure of the single macromolecule which is the base of the di erent materials like the doped solids and the chemical adducts. A variety of the computational methods, from ab initio calculation to an empirical approach, was used to compute the energy of the inter-cluster interaction in the fullerene solid. The review of the calculation and experiment will be presented elsewhere (some references are in). The dielectric function formalism is a simple theoretical approach allowing to evaluate the energy of the van-der-Waals interaction in the fullerene condensed phase. The same approach was used for the evaluation of the interaction of the single cluster with the surface of di erent solids in. The method allows us to calculate van-derWaals energy of the fullerene cluster dissolved in the organic (non-polar) dielectric liquid. It is worth to note that the result used before for the cluster in the medium does not work for the fullerene. Within the dielectric function approximation (DFA) the correct analytical expression of the van-der-Waals energy in the liquid insulator is dealt with below. This consideration is very similar in the spirit to the fullerene dimer plasmon energy calculation. The energy of the dimer-fullerene-cluster formation due to the dipole-dipole van-der-Waals interaction is given. It is known that fullerene forms solid solutions (or the clathrate crystals) with some solvents. We showed that the analytic expression can be obtained for the case of the "guest-host" lattice in frame of the same DFA. We described the solid fullerene within the DFA in the simplest one-poleapproximation which is correct in the high frequency region. The van-der-Waals energy is given by the shift of the zero-oscillation energy of the