# Theoretical model of donor–donor and donor–acceptor energy transfer on a nanosphere

## TL;DR

This paper presents a theoretical model for energy transfer on spherical nanoparticles with randomly placed donors and acceptors.

## Contribution

The novel application of the three-body Padé approximant technique to model energy transfer in disordered two-component systems on nanospheres.

## Key findings

- The model shows good agreement with Monte Carlo simulations for donor fluorescence intensity decay.
- The study validates the robustness of the theoretical approach in capturing energy transfer phenomena on nanospheres.

## Abstract

In this study, we introduce a novel advancement in the field of theoretical exploration. Specifically, we investigate the transfer and trapping of electronic excitations within a two-component disordered system confined to a finite volume. The implications of our research extend to energy transfer phenomena on spherical nanoparticles, characterized by randomly distributed donors and acceptors on their surface. Utilizing the three-body Padé approximant technique, previously employed in single-component systems, we apply it to address the challenge of trapping within our system. To validate the robustness of our model, we conduct Monte Carlo simulations on a donor–acceptor system positioned on a spherical nanoparticle. In particular, very good agreement between the model and Monte Carlo simulations has been found for donor fluorescence intensity decay.