Phenomenological Potential Wells for C60 Shell

Abstract

A spatial distribution of electric charges forming a square potential well has been studied. It is shown that this potential is created by two spherical double charge layers, which is in contradiction with a real molecular structure of C60 cage. A C60 shell potential has been calculated in the assumption that it is formed by the averaged charge density of a neutral atom. It is shown that the phenomenological potentials simulating the C60 shell potential should be selected from a family of potentials with a none-flat bottom. Two possible types of C60 model potentials have been considered and their parameters have been calculated.