Theory for Collective Resonances of the C ₆₀ Molecule

Abstract

We discuss the collective resonances of the C60 molecule described by a spherical shell. Detailed results are given for the π and π + σ plasmons of C60, the polarisability and the dielectric function. We present results in good quantitative agreement with recent experiments. Some new features in the spectrum, like a monopole mode of oscillation, are predicted for a doped C60 molecule.

Electron Production by Sensitizing Gold Nanoparticles Irradiated by Fast Ions

“…The interaction of a hollow system with the uniform external field, E(ω), leads to the variation of the electron density δρ(r, ω) occurring on the inner and outer surfaces of the hull. This variation leads to the formation of the surface plasmon, which has two normal modes, the symmetric and antisymmetric ones [64][65][66][67]. It has been argued previously [33,35,67,68] that only the surface plasmon can occur in the system interacting with a uniform external electric field, as it happens in the photoionization process.…”

“…Thus, in the case of irradiation of hollow gold clusters by dipole photons, two surface plasmon modes, characterized by resonance frequencies ω r = ω (s) and ω r = ω (a) and the widths Γ (s) and Γ (a) , are formed. The frequencies are defined as [64][65][66]:…”

“…The frequencies of the symmetric and antisymmetric modes of the multipolarity l are given by [35,65]:…”

Hybridization-related correction to the jellium model for fullerenes

“…Thereby, the electronic configuration of the delocalized electrons in C 60 is written in the form [13] Within the jellium model the fullerene core of the charged carbon ions, C 4+ , is described as a positively charged spherical layer of a finite thickness ∆R = R 2 − R 1 . The thickness ∆R is chosen to be equal to 1.5Å which corresponds to a typical diameter of a carbon atom [29] and refers to experimental data from [18]. The potential of the core may be written as:…”

New applications of the jellium model for the study of atomic clusters

“…Thus, within the jellium model the fullerene core of the 60 charged carbon ions, C 4+ , is replaced by an uniform distribution of positive charge Z = 240 over a spherical layer of a finite thickness, ∆R = R 2 − R 1 . The thickness ∆R is chosen to be equal to 1.5Å which corresponds to a typical diameter of a carbon atom [39] and refers to experimental data from [37]. The potential of the core may be written as…”