Predicting the Localized Surface Plasmon Resonances of Spherical Nanoparticles on a Substrate: Electrostatic Eigenmode Method

Abstract

We present experimental results that demonstrate that the wavelength of the fundamental localized surface plasmon resonance for spherical gold nanoparticles on glass can be predicted using a simple one-line analytical formula derived from the electrostatic eigenmode method. This allows the role of the substrate in lifting mode degeneracies to be determined and the role of local environment refractive indices in the plasmon resonance to be investigated. The effect of adding silica to the casting solution in minimizing nanopaticle agglomeration is also discussed. © 2012 American Chemical Society.