Eur. Phys. J. B 69, 369-374 (2009)
https://doi.org/10.1140/epjb/e2009-00173-8

Size-dependent effects in solutions of small metal nanoparticles

¹ Laboratory of Nanosystems Electrodynamics, Chuiko Institute of Surface Chemistry NAS of Ukraine, Kyiv, 03164, Ukraine
² Department of Physics, Jackson State University, Jackson, MS, 39217, USA

Corresponding author: ^a pustovit@ccmsi.us

Received: 27 January 2009
Revised: 24 March 2009
Published online: 13 May 2009

Abstract

A new theoretical approach for the calculation of optical properties of complex solutions is proposed. It is based on a dielectric matrix ε_m 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.