Abstract
SynopsisThe spatial distribution of electric charges forming a square well potential has been analyzed. It has been shown that two concentric spheres each with a double layer of charges create the potentials of this type. It has been demonstrated that the phenomenological potentials simulating the potential of C60 shell belong to a family of potentials with non-flat bottoms. A C60 shell potential has been calculated under the assumption that it is formed by the averaged charge density of a neutral atom. It has been shown that this potential has a cuspshaped form. Two model potentials of that type are proposed and their parameters have been calculated.
Highlights
It, i.e., the C60 shell charges form a three-layer charge sandwich
Tral atom charge density averaged over the d2 dr2. The solutions of this equation were analyzed for a family of spherically symmetric stepwise potentials
The positive and negative charges of C60 shell can form the rectangular potential well only if one assumes that they are smeared over the surfaces of two concentric spheres and create a two-layer charge sandwich with a gap Δ= ri - ro between layers
Summary
It, i.e., the C60 shell charges form a three-layer charge sandwich. Here R is the distance between the center of the fullerene cage and nuclei of the carbon atoms. The spatial distribution of these charges is de- The electrostatic potential created by the neufined by the Poisson equation.
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