Size-dependent effects in solutions of small metal nanoparticles

TL;DR

This paper introduces a theoretical model to calculate the optical properties of solutions containing small metal nanoparticles, accounting for quantum effects and interactions between particles.

Contribution

It presents a new dielectric matrix approach that incorporates quantum finite-size effects and mutual interactions for small metallic inclusions.

Findings

Derived analytical expressions for effective dielectric permittivity.

Accounted for quantum finite-size effects in optical property calculations.

Included mutual interactions between nanoparticles in the model.

Abstract

A new theoretical approach for the calculation of optical properties of complex solutions is proposed. It is based on a dielectric matrix with included small metallic inclusions (less than 3 nm) of spherical shape. We take into account the mutual interactions between the inclusions and the quantum finite-size effects. On the basis of the effective medium model, TDLDA and Kohn-Sham theories, some analytical expressions for the effective dielectric permittivity of the solution are obtained.