Estimation of {\pi}-{\pi} Electronic Couplings from Current Measurements

TL;DR

This study demonstrates a method to experimentally estimate {\

Contribution

It introduces a statistical analysis approach to measure {\

Findings

Estimated {\

Estimated t value is approximately 35 meV.

t distribution can be non-Gaussian and sensitive to molecular fluctuations.

Abstract

The {\pi}-{\pi} interactions between organic molecules are among the most important parameters for optimizing the transport and optical properties of organic transistors, light-emitting diodes, and (bio-) molecular devices. Despite substantial theoretical progress, direct experimental measurement of the {\pi}-{\pi} electronic coupling energy parameter t has remained an old challenge due to molecular structural variability and the large number of parameters that affect the charge transport. Here, we propose a study of {\pi}-{\pi} interactions from electrochemical and current measurements on a large array of ferrocene-thiolated gold nanocrystals. We confirm the theoretical prediction that t can be assessed from a statistical analysis of current histograms. The extracted value of t ca. 35 meV is in the expected range based on our density functional theory analysis. Furthermore, the t distribution is not necessarily Gaussian and could be used as an ultrasensitive technique to assess intermolecular distance fluctuation at the subangstr\"om level. The present work establishes a direct bridge between quantum chemistry, electrochemistry, organic electronics, and mesoscopic physics, all of which were used to discuss results and perspectives in a quantitative manner.