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Resonance Frequencies of Electrically Charged Nanoparticles

Figure 1

Figure 1
NP modes first, 10th, and 20th. Calculated for a 5-nm radius spherical NP with surface potential of 5 V (a). From the partial derivative Formula$\partial\omega/\partial n$, it is evident that the lower refractive indices have a greater influence on the resonance frequency (b).

Figure 2

Figure 2
NP first, 10th, and 20th modes, calculated for a 5-nm radius spherical NP with real refractive index Formula$n = 1.4283$ (a). From the partial derivative Formula$\partial\omega/\partial\phi$, it is evident that the lower surface potentials have a greater influence on the resonance frequency (b).

Figure 3

Figure 3
Resonance frequency as a function of the refractive index. An increase in the NP's radius decreases the incident frequencies (a), while increasing the NP's surface potential increases the incident frequencies (b).