Resonant Optical Phenomena in Metallic Dumbbell-Shaped Nanoparticles
DOI:
https://doi.org/10.15407/ujpe70.10.727Keywords:
dumbbell-shaped nanoparticle, polarizability tensor, field enhancement, Q-factor, absorption, scattering cross-section, extinction cross-section, equivalent-spheroid approach, effective aspect ratio, surface plasmon resonanceAbstract
Expressions for the diagonal components of the Q-factor, local electric field enhancement, and polarizability tensors, as well as the absorption, scattering, and extinction cross-sections have been obtained for metallic dumbbell-shaped nanoparticles in the classical approximation. The equivalent-spheroid approach is used to develop an analytic theory. The calculation results for the indicated optical characteristics are obtained for dumbbell-shaped nanoparticles of various sizes and materials. The influence of the particle’s effective aspect ratio on the frequency dependences of the studied optical characteristics has been analyzed. The feasibility of using dumbbell-shaped nanoparticles with small aspect ratios in nanomedicine and as optical high-Q resonators has been shown.
References
1. T. Patil, R. Gambhir, A. Vibhute, A.P. Tiwari. Gold nanoparticles: synthesis methods, functionalization and biological applications. J. Cluster Sci. 34, 705 (2023).
https://doi.org/10.1007/s10876-022-02287-6
2. M.M. Ghobashy, S.A. Alkhursani, H.A. Alqahtani, T.K. El-damhougy, M. Madani. Gold nanoparticles in microelectronics advancements and biomedical applications. Mater. Sci. Eng. 301, 117191 (2024).
https://doi.org/10.1016/j.mseb.2024.117191
3. M.A. Morsi, A.H. Oraby, A.G. Elshahawy, R.M. Abd El-Hady. Preparation, structural analysis, morphological investigation and electrical properties of gold nanoparticles filled polyvinyl alcohol/carboxymethyl cellulose blend. J. Mater. Res. Technol. 8, 5996 (2019).
https://doi.org/10.1016/j.jmrt.2019.09.074
4. J. Milan, K. Niemczyk, M. Kus-Li' skiewicz. Treasure on the Earth-gold nanoparticles and their biomedical applications. Materials 15, 3355 (2022).
https://doi.org/10.3390/ma15093355
5. X. Zhang. Gold nanoparticles: recent advances in the biomedical applications. Cell Biochem. Biophys. 72, 771 (2015).
https://doi.org/10.1007/s12013-015-0529-4
6. X. Li, Y. Zhang, G.K. Liu, Z. luo, L. Zhou, Y. Xue, M. Liu. Recent progress in the applications of gold-based nanoparticles towards tumor-targeted imaging and therapy. RSC Adv. 12, 7635 (2022).
https://doi.org/10.1039/D2RA00566B
7. J. Sun, Y. Lu, L. He, J. Pang, F. Yang, Y. Liu. Colorimetric sensor array based on gold nanoparticles: design principles and recent advances. Trends Anal. Chem. 122, 115754 (2020).
https://doi.org/10.1016/j.trac.2019.115754
8. G. Liu, M. Lu, X. Huang, T. Li, D. Xu. Application of gold-nanoparticle colorimetric sensing to rapid food safety screening. Sensors 18, 4166 (2018).
https://doi.org/10.3390/s18124166
9. Y.-Y. Yu, S.-S. Chang, C.-L. Lee, C.R.C. Wang. Gold nanorods: electrochemical synthesis and optical properties. J. Phys. Chem. B 101, 6661 (1997).
https://doi.org/10.1021/jp971656q
10. M.-C. Daniel, D. Astruc. Gold nanoparticles: assembly, supramolecular chemistry, quantum-size-related properties, and applications toward biology, catalysis, and nanotechnology. Chem. Rev. 104, 293 (2004).
https://doi.org/10.1021/cr030698+
11. B. Nikoobakht, M.A. El-Sayed. Surface-enhanced Raman scattering studies on aggregated gold nanorods. J. Phys. Chem. A 107, 3372 (2003).
https://doi.org/10.1021/jp026770+
12. P.M. Tomchuk, N.I. Grigorchuk. Shape and size effects on the energy absorption by small metallic particles. Phys. Rev. B 73, 155423 (2006).
https://doi.org/10.1103/PhysRevB.73.155423
13. N.I. Grigorchuk, P.M. Tomchuk. Force of optical radiation pressure on a spheroidal metallic nanoparticle near a plasmon resonance. Low Temp. Phys. 33, 851 (2007).
https://doi.org/10.1063/1.2746860
14. N.I. Grigorchuk, P.M. Tomchuk. Optical and transport properties of spheroidal metal nanoparticles with account for the surface effect. Phys. Rev. B 84, 085448 (2011).
https://doi.org/10.1103/PhysRevB.84.085448
15. 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
16. P.M. Tomchuk. Dependence of the light scattering crosssection by metal nanoparticles on their shape. Ukr. J. Phys. 57, 553 (2012).
17. 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
18. A.V. Korotun, Ya.V. Karandas, V.I. Reva. Analytic theory of plasmon effects in rod-like metal nanoparticles. The equivalent-spheroid model. Ukr. J. Phys. 67, 848 (2022).
19. A.V. Korotun. Plasmonic phenomena in biconical and bipyramidal metal nanoparticles. Ukr. J. Phys. 68, 697 (2023).
20. A.V. Korotun. More on the size effects on the spectral figure of merit and enhancement of the local fields in the neighborhood of biconical and bipyramidal metallic nanoparticles. Low Temp. Phys. 51, 133 (2025).
https://doi.org/10.1063/10.0034658
21. N.I. Pavlyshche, A.V. Korotun, V.P. Kurbatsky, V.I. Reva. Plasmon phenomena in metal-dielectric nanodiscs. An equivalent-spheroid approach. Ukr. J. Phys. 70, 263 (2025).
https://doi.org/10.15407/ujpe70.4.263
22. C.A. Foss Jr., G.L. Hornyak, J.A. Stockert, C.R. Martin. Optical properties of composite membranes containing arrays of nanoscopic gold cylinders. J. Phys. Chem. 96, 7497 (1992).
https://doi.org/10.1021/j100198a004
23. S.-S. Chang, C.-W. Shih, C.-D. Chen, W.-C. Lai, C.R.C. Wang. The shape transition of gold nanorods. Langmuir 15, 701 (1999).
https://doi.org/10.1021/la980929l
24. C.J. Murphy, T.K. Sau, A.M. Gole, C.J. Orendorff, J. Gao, L. Gou, S.E. Hunyadi, T. Li. Anisotropic metal nanoparticles: synthesis, assembly, and optical applications. J. Phys. Chem. B 109, 13857 (2005).
https://doi.org/10.1021/jp0516846
25. X. Xu, M.B. Cortie. Shape change and color gamut in gold nanorods, dumbbells, and dog bones. Adv. Funct. Mater. 16, 2170 (2006).
https://doi.org/10.1002/adfm.200500878
26. B. Saute, R. Narayanan. Solution-based direct readout surface enhanced Raman spectroscopic (SERS) detection of ultra-low levels of thiram with dogbone shaped gold nanoparticles. Analyst 136, 527 (2011).
https://doi.org/10.1039/C0AN00594K
27. H. Chen, L. Shao, Q. Li, J. Wang. Gold nanorods and their plasmonic properties. Chem. Soc. Rev. 42, 2679 (2013).
https://doi.org/10.1039/C2CS35367A
28. M. Grzelczak, A. S'anchez-Iglesias, B. Rodr'iguez-Gonz'alez, R. Alvarez-Puebla, J. P'erez-Juste, L.M. Liz-Marz'an. Influence of iodide ions on the growth of gold nanorods: Tuning tip curvature and surface plasmon resonance. Adv. Funct. Mater. 18, 3780 (2008).
https://doi.org/10.1002/adfm.200800706
29. P. Wang, M. Liu, G. Gao, S. Zhang, H. Shi, Z. Li, L. Zhang, Y. Fang. From gold nanorods to nanodumbbells: a different way to tailor surface plasmon resonances by a chemical route. J. Mater. Chem. 22, 24006 (2012).
https://doi.org/10.1039/c2jm33330a
30. D.A. Zweifel, A. Wei. Sulfide-arrested growth of gold nanorods. Chem. Mater. 17, 4256 (2005).
https://doi.org/10.1021/cm0506858
31. E. Carb'o-Argibay, B. Rodr'iguez-Gonz'alez, S. G'omez-Gra-˜na, A. Guerrero-Martinez, I. Pastoriza-Santos, J. P'erezJuste, L.M. Liz-Marz'an. The crystalline structure of gold nanorods revisited: Evidence for higher-index lateral facets. Angew. Chem. Int. Ed. 49, 9397 (2010).
https://doi.org/10.1002/anie.201004910
32. H. Katz-Boon, C.J. Rossouw, M. Weyland, A.M. Funston, P. Mulvaney, J. Etheridge. Three-dimensional morphology and crystallography of gold nanorods. Nano Lett. 11, 273 (2011).
https://doi.org/10.1021/nl103726k
33. B. Rodr'iguez-Gonz'alez, F. Attouchi, M.F. Cardinal, V. Myroshnychenko, O. St'ephan, F.J. Garcia de Abajo, L.M. Liz-Marz'an, M. Kociak. Surface plasmon mapping of dumbbell-shaped gold nanorods: The effect of silver coating. Langmuir 28, 9063 (2012).
https://doi.org/10.1021/la300269n
34. M. Grzelczak, A. S'anchez-Iglesias, H.H. Mezerji, S. Bals, J. P'erez-Juste, L.M. Liz-Marz'an. Steric hindrance induces crosslike self-assembly of gold nanodumbbells. Nano Lett. 12, 4380 (2012).
https://doi.org/10.1021/nl3021957
35. M.F. Cardinal, B. Rodr'iguez-Gonz'alez, R.A. Alvarez-Puebla, J. P'erez-Juste, L.M. Liz-Marz'an. Modulation of localized surface plasmons and sers response in gold dumbbells through silver coating. J. Phys. Chem. C 114, 10417 (2010).
https://doi.org/10.1021/jp102519n
36. 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
37. N.L. Dmitruk, A.V. Goncharenko, E.F. Venger. Optics of Small Particles and Composite Media (Naukova Dumka, 2009) (in Ukrainian) [ISBN: 978-966-00-0948-8].
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