Abstract
In this chapter, we study some electrostatic and electromagnetic boundary-value problems involving two-dimensional electron gas shells in spherical geometry. We use the standard hydrodynamic model to describe the dielectric response of a spherical electron gas shell. The main interest and the key first applications of presented boundary-value problems concern C60 molecule, while keeping in mind that the analysis can be applied to the other two-dimensional electron gas shells with spherical geometry. For brevity, in many sections of this chapter the \(\exp (-i\omega t)\) time factor is suppressed. Furthermore, all media under consideration are nonmagnetic and attention is only confined to the linear phenomena.
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Change history
12 November 2020
This book was inadvertently published without updating the following corrections.
Notes
- 1.
C60 molecule was discovered by Kroto et al. [3] in 1985. This molecule is a kind of highly stable and hollow quasi-spherical molecule with 240 valence electrons occupying σ and π orbitals that are typical of all sp 2 hybridized carbon nanostructures.
- 2.
- 3.
For the stored electromagnetic energy within a spherical EG shell see [6].
References
G. Barton, C. Eberlein, Plasma spectroscopy proposed for C60 and C70. J. Chem. Phys. 95, 1512–1517 (1991)
A. Moradi, Quantum ion-acoustic wave oscillations in C60 molecule. Physica E 41, 1338–1339 (2009)
H.W. Kroto, J.R. Heath, S.C. O’Brein, R.F. Curl, R.E. Smalley, C60: buckminsterfullerene. Nature 318, 162–163 (1985)
C.Z. Li, Z.L. Mišković, F.O. Goodman, Y.-N. Wang, Plasmon excitations in C60 by fast charged particle beams. J. Appl. Phys. 113, 184301 (2013)
C.F. Bohren, D.R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983)
A. Moradi, Electromagnetic energy within an isolated C60 molecule, Optik 143, 1–5 (2017)
A. Moradi, Extinction properties of an isolated C60 molecule. Solid State Commun. 192, 24–26 (2014)
Y. Wu, J. Li, Z.-Q. Zhang, C.T. Chan, Effective medium theory for magnetodielectric composites: beyond the long-wavelength limit. Phys. Rev. B 74, 085111 (2006)
A. Moradi, Effective medium theory for a system of C60 molecules. Phys. Plasmas 23, 062120 (2016)
C. Yannouleas, E.N. Bogachek, U. Landman, Collective excitations of multishell carbon microstructures: multishell fullerenes and coaxial nanotubes. Phys. Rev. B 53, 10225–10236 (1996)
A. Moradi, Investigation of high- and low-frequency electrostatic oscillations in multishell fullerenes. Phys. Scr. 81, 055701 (2010)
D. Langbein, in Theory of van der Waals Attraction, ed. by G. Hohler. Springer Tracts in Modern Physics, vol. 72 (Springer, Berlin, 1974)
M. Schmeits, L. Dambly, Fast-electron scattering by bispherical surface-plasmon modes. Phys. Rev. B 44, 12706–12712 (1991)
R. Ruppin, Surface modes of two spheres. Phys. Rev. B 26, 3440–3444 (1982)
A. Moradi, Multipole plasmon excitations of C60 dimers. J. Chem. Phys. 141, 024111 (2014)
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Moradi, A. (2020). Boundary-Value Problems Involving Two-Dimensional Electron Gases in Spherical Geometry. In: Canonical Problems in the Theory of Plasmonics. Springer Series in Optical Sciences, vol 230. Springer, Cham. https://doi.org/10.1007/978-3-030-43836-4_10
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