As the intra-macromolecular hydrogen bonds accelerated the electron-exchange reaction, it was concluded that the primary structure of the gelatinizing agent was the most important factor determining the frequency of the electron-exchange reaction.
Cyclotron resonance is achieved when the frequency of the alternating electric field is made to match the natural frequency of the electrons orbiting the lines of force.
There is no correlation in changing the frequency extrema between LSP resonance and plasma frequency of the electrons for appropriate por-Au films.
The magnetic field at the position of the trap between the poles of the electromagnet was obtained through a measurement of the cyclotron frequency of the electrons in the trap by excitation of the motional spectrum through external RF excitation.
where σ is the complex optical conductivity (lowercase indices r and im denote real and imaginary part, respectively), ω p is the plasma frequency of the valence electrons, m* is the free electron mass, N v is the effective density of the valence electrons, τ is the average collision time, and ε 0 is the vacuum permittivity, respectively.
The ratio of the electron gyro-frequency to the electron plasma-frequency is Ω e/ω pe=eB 0/(m e ω pe)=1.
Spectral dependencies of the angle of isotropic reflection θρ = 0 were measured to obtain values of the plasma frequency oscillations of the electrons in Au NPs. Figure 1a shows AFM images of samples 1 and 1′ obtained at P Ar = 20 Pa for N = 3 · 103 and N = 15 · 103, respectively.
The ponderomotive force created by the electromagnetic wave (EMW) stimulates low-frequency perturbations of the electrons density; then, they interact with the primary high-frequency EMW in which the amplitude of the pump wave becomes modulated and the MI of the EMW occurs.
When the incident light frequency matches the natural frequency of electron oscillation of the conductive metal nanoparticles, the interactions between the incident light and the nanostructured surface modify the energy of the internal vibronic states of the particles and trigger the LSPR.
