About the connection of the electron binding energy of a single carbon anion with binding energies of an electron attached to carbon molecules

TL;DR

This paper uses a zero-range potential model to calculate electron binding energies in various carbon anions, demonstrating its effectiveness for different cluster geometries and suggesting broad applicability.

Contribution

It introduces a zero-range potential approach for modeling attached electrons in atomic and molecular anions, including complex carbon clusters.

Findings

Successfully calculated electron energies for small carbon clusters.

Model can be extended to larger and arbitrarily arranged carbon structures.

Demonstrated the model's applicability to different molecular geometries.

Abstract

We demonstrate that the model of zero-range potentials can be successfully employed for the description of attached electrons in atomic and molecular anions, for example, negatively charged carbon clusters. To illustrate the capability of the model we calculate the energies of the attached electron for the family of carbon cluster anions consisting of two-, three- (equilateral triangle), and four (tetrahedron) carbon atoms equidistant from each other as well as for a C3 molecule having a chain structure. The considered approach can be easily extended to carbon clusters containing an arbitrary number of atoms arranged in an arbitrary configuration.