Plasmon Phenomena in Metal-Dielectric Nanodiscs. An Equivalent-Spheroid Approach
DOI:
https://doi.org/10.15407/ujpe70.4.263Keywords:
metal-dielectric nanodisk, polarizability tensor, extinction efficiency, relaxation rate, surface plasmon resonanceAbstract
In the framework of the equivalent-spheroid approach, the expressions for the diagonal components of the polarizability tensor and the extinction efficiency, as well as the size dependences of the longitudinal and transverse surface plasmon resonance frequencies for metal-dielectric nanodisks, have been obtained. The results of calculations of the indicated characteristics are presented for disks of various sizes. The influence of the core and shell materials and the disk sizes on the position and magnitude of the extinction efficiency maximum has been analyzed. The reason for why only one maximum in the extinction spectra of metal-dielectric nanodisks is detected has been determined.
References
1. U. Kreibig, M. Vollmer Optical Properties of Metal Clusters (Springer, 1995).
https://doi.org/10.1007/978-3-662-09109-8
2. K.L. Kelly, E. Coronado, L.L. Zhao, G.C. Schatz. The Optical Properties of Metal Nanoparticles: The influence of size, shape, and dielectric environment. J. Phys. Chem. B 107, 668 (2003).
https://doi.org/10.1021/jp026731y
3. N.K. Grady, N.J. Halas, P. Nordlander. Influence of dielectric function properties on the optical response of plasmon resonant metallic nanoparticles. Chem. Phys. Lett. 399, 167 (2004).
https://doi.org/10.1016/j.cplett.2004.09.154
4. N.I. Grigorchuk. Plasmon resonant light scattering on spheroidal metallic nanoparticle embedded in a dielectric matrix. Europhys. Lett. 97, 45001 (2012).
https://doi.org/10.1209/0295-5075/97/45001
5. P.M. Tomchuk. Dependence of the cross-section of light scattering by metal nanoparticles on their shape. Ukr. Fiz. Zh. 57, 553 (2012) (in Ukrainian).
6. M.L. Dmytruk, S.Z. Malynych. Surface plasmon resonances and their manifestation in the optical properties of nanostructures of noble metals. Ukr. Fiz. Zh. Oglyady 9, 3 (2014) (in Ukrainian).
7. A.O. Koval, A.V. Korotun, Yu.A. Kunitsky, V.A. Tatarenko, I.M. Titov. Electrodynamics of Plasmon Effects in Nanomaterials. (Naukova dumka 2021) (in Ukrainian).
8. S.R. Nicewarner-Pena, R. Griffith-Freeman, B.D. Reiss, L. He, D.J. Pena, I.D. Walton, R. Cromer, C.D. Keating, M.J. Natan. Submicrometer metallic barcodes. Science 294, 137 (2001).
https://doi.org/10.1126/science.294.5540.137
9. J.J. Mock, S.J. Oldenburg, D.R. Smith, D.A. Schultz, S. Schultz. Composite plasmon resonant nanowires. Nano Lett. 2, 465 (2002).
https://doi.org/10.1021/nl0255247
10. D.J. Wu, X.J. Liu, L.L. Liu, W.P. Qian. Third-order nonlinear optical properties of gold nanoshells in aqueous solution. Appl. Phys. A 92, 279 (2008).
https://doi.org/10.1007/s00339-008-4539-6
11. G.V.P. Kumar, S. Shruthi, B. Vibha, B.A.A. Reddy, T.K. Kundu, C. Narayana. Hot spots in Ag core - Au shell nanoparticles potent for surface-enhanced Raman scattering studies of biomolecules. J. Phys. Chem. C 111, 4388 (2007).
https://doi.org/10.1021/jp068253n
12. C. Charnay, A. Lee, S.Q. Man, C.E. Moran, C. Radloff, R.K. Bradley, N.J. Halas. Reduced symmetry metallodielectric nanoparticles: chemical synthesis and plasmonic properties. J. Phys. Chem. B 107, 7327 (2003).
https://doi.org/10.1021/jp034309r
13. A.V. Korotun, Ya.V. Karandas. Surface plasmons in a nanotube with a finite-thickness wall. Phys. Metals. Metallogr. 123, 7 (2022).
https://doi.org/10.1134/S0031918X22010070
14. J. Aizpurua, P. Hanarp, D.S. Sutherland, M. Kall, G.W. Bryant, F.J. Garcia de Abajo. Optical properties of gold nanorings. Phys. Rev. Lett. 90, 057401 (2003).
https://doi.org/10.1103/PhysRevLett.90.057401
15. A.V. Korotun. Plasmonic phenomena in biconical and bipyramidal metal nanoparticles. Ukr. Fiz. Zh. 68, 697 (2023) (in Ukrainian).
16. K.H. Su, Q.H. Wei, X. Zhang. Tunable and augmented plasmon resonances of Au/SiO2/Au nanodisks. Appl. Phys. Lett. 88, 063118 (2006).
https://doi.org/10.1063/1.2172712
17. O. Niitsoo, A. Couzis. Facile synthesis of silver core - silica shell composite nanoparticles. J. Colloid Interf. Sci. 354, 887 (2011).
https://doi.org/10.1016/j.jcis.2010.11.013
18. S. Tang, Y. Tang, S. Zhu, H. Lu, X. Meng. Synthesis and characterization of silica-silver core-shell composite particles with uniform thin silver layers. J. Solid State Chem. 180, 2871 (2007).
https://doi.org/10.1016/j.jssc.2007.08.022
19. S. Amoruso, R. Bruzzese, N. Spinelli, R. Velotta, M. Vitiello, X.Q. Wang, G. Ausanio, V. Iannotti, L. Lanotte. Generation of silicon nanoparticles via femtosecond laser ablation in vacuum. Appl. Phys. Lett. 84, 4502 (2004).
https://doi.org/10.1063/1.1757014
20. S.L. Zhu, L. Tang, Z.D. Cui, Q. Wei, X.J. Yang. Reparation of copper-coated β-SiC nanoparticles by electroless plating. Surf. Coat. Tech. 205, 2985 (2011).
https://doi.org/10.1016/j.surfcoat.2010.11.010
21. A. Fojtik, M. Giersig, A. Henglein. Formation of nanometer-size silicon particles in a laser induced plasma in SiH4. Phys. Chem. 97, 1493 (1993).
https://doi.org/10.1002/bbpc.19930971112
22. H. Chen, Y. Xiao, L. Wang, Y. Yang. Silicon nanowires coated with copper layer as anode materials for lithiumion batteries. J. Pow. Sourc. 196, 6657 (2011).
https://doi.org/10.1016/j.jpowsour.2010.12.075
23. L. Hu, G. Chen. Analysis of optical absorption in silicon nanowire arrays for photovoltaic applications. Nano Lett. 7, 3249 (2007).
https://doi.org/10.1021/nl071018b
24. S. Mohapatra, Y.K. Mishra, D.K. Avasthi, D. Kabiraj, J. Ghatak, S. Varma. Synthesis of gold-silicon core-shell nanoparticles with tunable localized surface plasmon resonance. Appl. Phys. Lett. 92, 103105 (2008).
https://doi.org/10.1063/1.2894187
25. N. Dai. Introduction to Nano Solar Cells (Jenny Stanford Publishing, 2024).
https://doi.org/10.1201/9781003131984
26. A. V. Krasavin, A. V. Zayats. Silicon-based plasmonic waveguides. Opt. Exp. 18, 11791 (2010).
https://doi.org/10.1364/OE.18.011791
27. N. O'Farrell, A. Houlton, B.R. Horrocks. Silicon nanoparticles: applications in cell biology and medicine. Int. J. Nanomed. 1, 451 (2006).
https://doi.org/10.2147/nano.2006.1.4.451
28. Y. Ale, N. Nainwal. Progress and challenges in the diagnosis and treatment of brain cancer using nanotechnology Molec. Pharmac. 20, 4893 (2023).
https://doi.org/10.1021/acs.molpharmaceut.3c00554
29. R. Bardhan, N.K. Grady, T. Ali, N.J. Halas. Metallic nanoshells with semiconductor cores: optical characteristics modified by core medium properties. ACS Nano 4, 6169 (2010).
https://doi.org/10.1021/nn102035q
30. J.C. Idrobo, A. Halabica, R.H. Magruder, III, R.F. Haglund, Jr., S.J. Pennycook, S.T. Pantelides. Universal optical response of Si-Si bonds and its evolution from nanoparticles to bulk crystals. Phys. Rev. B 79, 125322 (2009).
https://doi.org/10.1103/PhysRevB.79.125322
31. A.E. Miroshnichenko. Off-resonance field enhancement by spherical nanoshells. Phys. Rev. A 81, 053818 (2010).
https://doi.org/10.1103/PhysRevA.81.053818
32. A.B. Evlyukhin, C. Reinhardt, A. Seidel, B.S. Luk'yanchuk, B.N. Chichkov. Optical response features of Sinanoparticle arrays. Phys. Rev. B 82, 045404 (2010).
https://doi.org/10.1103/PhysRevB.82.045404
33. C. S¨onnichsen, T. Franzl, T. Wilk, G. von Plessen, J. Feldmann, O. Wilson, P. Mulvaney. Drastic reduction of plasmon damping in gold nanorods. Phys. Rev. Lett. 88, 077402 (2002).
https://doi.org/10.1103/PhysRevLett.88.077402
34. P. Hanarp, M. K¨all, D.S. Sutherland. Optical properties of short range ordered arrays of nanometer gold disks prepared by colloidal lithography. J. Phys. Chem. B 107, 5768 (2003).
https://doi.org/10.1021/jp027562k
35. C. Langhammer, B. Kasemo, I. Zori'c. Absorption and scattering of light by Pt, Pd, Ag, and Au nanodisks: Absolute cross sections and branching ratios. J. Chem. Phys. 126, 194702 (2007).
https://doi.org/10.1063/1.2734550
36. A.V. Korotun, N.I. Pavlyshche. Cross-sections for absorption and scattering of electromagnetic radiation by ensembles of metal nanoparticles of different shapes. Phys. Met. Metallogr. 122, 941 (2021).
https://doi.org/10.1134/S0031918X21100057
37. A.V. Korotun, N.I. Pavlishche. Anisotropy of the optical properties of metal nanodisks. Opt. Spectrosc. 130, 269 (2022).
https://doi.org/10.1134/S0030400X22040075
38. D. Constantin. Why the aspect ratio? Shape equivalence for the extinction spectra of gold nanoparticles. Eur. Phys. J. E 38, 116 (2015).
https://doi.org/10.1140/epje/i2015-15116-2
39. A.V. Korotun, Ya.V. Karandas, V.I. Reva. Analytical theory of plasmon effects in rod-shaped metal nanoparticles. Model of effective spheroid Ukr. Fiz. Zh. 67, 848 (2022) (in Ukrainian).
https://doi.org/10.15407/ujpe67.12.849
40. A.V. Korotun, N.I. Pavlyshche. Optical absorption of a composite with randomly distributed metallic inclusions of various shapes. Funct. Mater. 29, 567 (2022).
https://doi.org/10.15407/fm29.04.567
41. S. Sun, I.L. Rasskazov, P.S. Carney, P.S. Zhang, A. Moroz. The critical role of shell in enhanced fluorescence of metaldielectric core-shell nanoparticles J. Phys. Chem. C 124, 13365 (2020).
https://doi.org/10.1021/acs.jpcc.0c03415
42. L.B. Lerman. Onset of additional plasmon resonances in small sheathed particles. Poverkhnya 14, 91 (2008).
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