Plasmon excitation in metallic spheres

Abstract

A detailed study is presented of the influence of several parameters on the energy-loss probability of fast electrons (-100 keV) incident on small metallic spherical particles. We consider the collective modes of the sphe|e, including bulk-type modes which do not appear to have been considered previously in the literature. A Gaussian distribution is used to describe the electron in the plane transverse to the trajectory. We discuss the effects of the variation of several parameters -incident beam size, probe velocity, radius of the sphere, impact parameter, and the excited mode -and conclude that the absorption spectra depend critically on the geometry of the probe as the experimental data of Batson and Treacy suggest.

Resonance energy transfer from a fluorescent dye to a metal nanoparticle

“…Our treatment therefore will consider only the collective excitations of the electron fluid in the nanoparticle. Adapting from earlier work, [24][25][26] where the motion of the electron density in the nanoparticle is described within an electrohydrodynamic approximation, the Hamiltonian…”

Plasmon excitations in cylindrical wires by charged particle beams: impact parameter dependence

“…(5), in the case of bulk modes, to the range of particle positions q 0 < a: Using Eqs. (5) and (6) and following a similar procedure to the one already indicated in [7], we obtain the following result for the average number of bulk plasmons in the mode m…”

“…1 Introduction The spectroscopy of small-size particles of various types is a very active field of research [1][2][3]. In previous studies we have considered with some detail the interrelations between the semiclassical dielectric models [4] and the quantum descriptions based on Hamiltonian models [5] for plasmon excitations [6]. More recently, we have done a comprehensive study of the quantization of bulk and surface modes for the case of small cylindrical structures in solids [7].…”

The response of metal clusters toq- andL-dependent external fields

“…The peaks centered at q ,-, 0.22, 0.38 and 0.58 au are q-quantized volume modes that fulfil the matching condition between the diameter of the cluster and the wavelength of the electronic charge fluctuation in its interior [5]. The peaks centered at q ,-, 0.22, 0.38 and 0.58 au are q-quantized volume modes that fulfil the matching condition between the diameter of the cluster and the wavelength of the electronic charge fluctuation in its interior [5].…”