Energy Characteristics of Nearly Spherical Metallic Nanoparticles

Authors A.O. Koval1,2

1Zaporizhzhia Polytechnic National University, 64, Zhukovskogo St., 60063 Zaporizhzhia, Ukraine

2Scientific and Production Complex "Iskra", 84, Mahistralna St., 69071 Zaporizhzhia, Ukraine

Issue Volume 14, Year 2022, Number 5
Dates Received 28 July 2022; revised manuscript received 21 October 2022; published online 28 October 2022
Citation A.O. Koval, J. Nano- Electron. Phys. 14 No 5, 05011 (2022)
PACS Number(s) 61.46.Bc, 73.22. – f, 78.67. – n
Keywords Eccentricity, Fermi energy, Dielectric function, Metallic nanoparticle.

In the model of infinite depth spherical potential well, using the method of boundary shape perturbation, the effect of cross-section geometry changing on the energy characteristics of 0D metal systems was investigated. By modifying the boundary conditions of the conduction electrons radial wave function, the Fermi energy oscillations of metal nanoparticles with small eccentricity were calculated. It is shown that an increase in the eccentricity value leads to a decrease in the Fermi energy values and a shift of the oscillation maxima towards low frequencies. Applying the obtained results of the dimensional dependence of the Fermi energy for 0D systems, the calculation of the diagonal component of the dielectric function was carried out using the expansion of the dielectric tensor by powers of r0/λ. The influence of the change in the cross-section on the absolute value and frequency position of the oscillation peaks of the dielectric function real and imaginary parts, which are directly related to the size quantization effect, was established. Calculations of the Fermi energy dimensional oscillation and the diagonal component of the dielectric function were performed for Ag, Li, and Al nanoparticles. Differences in the obtained results for nanoparticles of different metals are explained by different values knl and the relaxation time of conduction electrons.

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