# Exact solution of long-range electron transfer through conjugated molecular bridge

## TL;DR

This paper presents an exact analytical solution for long-range electron transfer through a conjugated molecular bridge, modeling the donor-acceptor interaction as Dirac delta functions and the bridge as a finite square well.

## Contribution

It introduces a precise analytical method to calculate electronic coupling in long-range electron transfer involving conjugated bridges.

## Key findings

- Derived an exact expression for electronic coupling
- Demonstrated the influence of bridge properties on transfer rates
- Provided a theoretical framework for long-range electron transfer

## Abstract

Intermolecular electron transfer reaction often occurs over long range distances (i.e. up to several tens of angstroms) and plays a key role in various physical, chemical and biological processes. In these reactions the rate constant of long range electron transfer depends upon electronic coupling between the donor and acceptor. The coupling between donor and acceptor may increases by the atoms located between them which form a kind of bridge for electron tunneling. By using exact analytical method we calculated the value of electronic coupling for the above said processes in which the interaction of an electron with the donor, acceptor are represented as Dirac delta functions and conjugated bridge is represented by finite square well.