Abstract
In this paper, theoretical calculations based on dipole-limit are performed to investigate the effects of curvature on the surface plasmon resonance (SPR) properties of nanometer size gold spheroid and shell. By comparing the aspect ratio with the shell thickness, we demonstrated that the curvature radius is a common better factor that can be used to predict the SPR wavelength and shift fashion. For nanospheroid, increasing the ratio of curvature radius corresponding to the climaxes leads to an increase in the ratio of SPR wavelength, whereas increasing the ratio of curvature radius of outer and inner surface in nanoshell leads to an decrease in the ratio of SPR wavelength. As a morphologic factor, curvature radius plays an important role in affecting the distribution of electron density, and consequently controlling the SPR frequency.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Antoine R, Pellarin M, Palpant B, Broyer M, Prevel B, Galletto P et al (1998) Surface plasmon enhanced second harmonic response from gold clusters embedded in an alumina matrix. J Appl Phys 84(8):4532–4536. doi:10.1063/1.368679
Averitt RD, Sarkar D, Halas NJ (1997) Plasmon resonance shifts of Au-coated Au2S nanoshells: insight into multicomponent nanoparticle growth. Phys Rev Lett 78(22):4217–4220. doi:10.1103/PhysRevLett.78.4217
Averitt RD, Westcott SL, Halas NJ (1999) Linear optical properties of gold nanoshells. J Opt Soc Am B 16(10):1824–1832. doi:10.1364/JOSAB.16.001824
Bohren CF (1983) Absorption and scattering of light by small particles. A Wiley Interscience Publication, New York
Brioude A, Jiang XC, Pileni MP (2005) Optical properties of gold nanorods: DDA simulations supported by experiments. J Phys Chem B 109(27):13138–13142. doi:10.1021/jp0507288
Chatterjee K, Banerjee S, Chakravorty D (2002) Plasmon resonance shifts in oxide-coated silver nanoparticles. Phys Rev B 66(8):085421. doi:10.1103/PhysRevB.66.085421
Eustis S, El-Sayed MA (2005) Aspect ratio dependence of the enhanced fluorescence intensity of gold nanorods: experimental and simulation study. J Phys Chem B 109(34):16350–16356. doi:10.1021/jp052951a
Kreibig U, Vollmer M (1995) Optical properties of metal clusters. Springer, New York
Lee KS, El-Sayed MA (2005) Dependence of the enhanced optical scattering efficiency relative to that of absorption for gold metal nanorods on aspect ratio, size, end-cap shape, and medium refractive index. J Phys Chem B 109(43):20331–20338. doi:10.1021/jp054385p
Link S, El-Sayed MA (1999) Size and temperature depen-dence of the plasmon absorption of colloidal gold nano-particles. J Phys Chem B 103(21):4212–4217. doi:10.1021/jp984796o
Link S, Mohamed M, El-Sayed MA (1999) Simulation of the optical absorption spectra of gold nanorods as a function of their aspect ratio and the effect of the medium dielectric constant. J Phys Chem B 103(16):3073–3077. doi:10.1021/jp990183f
Mock JJ, Oldenburg SJ, Smith DR, Schultz DA, Schultz S (2002) Omposite plasmon resonant nanowires. Nano Lett 2(5):465–469. doi:10.1021/nl0255247
Mohamed MB, Volkov V, Link S, El-Sayed MA (2000) The ‘lightning’ gold nanorods: fluorescence enhancement of over a million compared to the gold metal. Chem Phys Lett 317(6):517–523. doi:10.1016/S0009-2614(99)01414-1
Nehl CL, Grady NK, Goodrich GP, Tam F, Halas NJ, Hafner JH (2004) Scattering spectra of single gold nanoshells. Nano Lett 4(12):2355–2359. doi:10.1021/nl048610a
Perenboom JAAJ, Wyder P, Meier F (1981) Electronic properties of small metallic particles. Phys Rep 78(2):173–292. doi:10.1016/0370-1573(81)90194-0
Prescott SW, Mulvaneya P (2006) Gold nanorod extinction spectra. J Appl Phys 99(12):123504. doi:10.1063/1.2203212
Prodan E, Nordlander P, Halas NJ (2003a) Effects of dielectric screening on the optical properties of metallic nanoshells. Chem Phys Lett 368(1–2):94–101. doi:10.1016/S0009-2614(02)01828-6
Prodan E, Radlo C, Halas NJ, Nordlander P (2003b) A hybridization model for the plasmon response of complex nanostructures. Science 302(5644):419–422. doi:10.1126/science.1089171
Qu XH, Peng ZQ, Jiang X, Dong SJ (2004) Surface charge influence on the surface plasmon absorbance of electroactive thiol-protected gold nanoparticles. Langmuir 20(7):2519–2522. doi:10.1021/la035558±
Schroter U, Dereux A (2001) Surface plasmon polaritons on metal cylinders with dielectric core. Phys Rev B 64(12):125420. doi:10.1103/PhysRevB.64.125420
Van der zande BMI, Bohmer MR, Fokkink LGJ, Schonenberger C (2000) Colloidal dispersion of gold rods: synthesis and optical properties. Langmuir 16(2):451–458
Yu YY, Chang SS, Lee CL, Wang CRC (1997) Gold Nanorods: electrochemical synthesis and optical properties. J Phys Chem B 101(34):6661–6664. doi:10.1021/jp971656q
Zhou HS, Honma I, Komiyama H, Haus JW (1994) Controlled synthesis and quantum-size effect in gold-coated nanoparticles. Phys Rev B 50(16):12052–12056. doi:10.1103/PhysRevB.50.12052
Zhu J (2005) Shape dependent full width at half maximum of the absorption band in gold nanorods. Phys Lett A 339(6):466–471. doi:10.1016/j.physleta.2005.03.065
Zhu J (2007) Ellipsoidal core-shell dielectric-gold nanostructure: theoretical study of the tunable surface plasmon resonance. J Nanosci Nanotechnol 7(3):1059–1064. doi:10.1166/jnn.2007.401
Zhu J, Liu X (2006) Simulation of the surrounding medium controlled local field enhancement for silver nanorods. Chem Phys 323(2–3):446–450. doi:10.1016/j.chemphys.2005.10.005
Zhu J, Wang YC, Huang LQ, Lu YM (2004a) Resonance light scattering characters of core-shell structure Au–Ag nanoparticles. Phys Lett A 323(5–6):455–459. doi:10.1016/j.physleta.2004.02.038
Zhu J, Wang YC, Lu YM (2004b) Fluorescence spectra characters of silver-coated gold colloidal nanoshells. Colloid Surf A 232(2–3):155–161. doi:10.1016/j.colsurfa.2003.10.017
Zhu J, Zhao JW, Wang YC (2004c) Influence of surface charge density on the plasmon resonance modes in gold nanoellipsoid. Physica B (Amsterdam) 353(3–4):331–335. doi:10.1016/j.physb.2004.10.015
Zhu J, Li JJ, Zhao JW, Bai SW (2008) Light absorption efficiencies of gold nanoellipsoid at different resonance frequency. J Mater Sci. doi: 10.1007/s10853-008-2751-6
Acknowledgments
This work was supported by the Natural Science Basic Research Plan in Shaanxi Province of China (Program No. 2005A20) and “985 Project” Research Bases in Xi’an Jiaotong University.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Zhu, J. Calculation of curvature dependent surface plasmon resonance in gold nanospheroid and nanoshell. J Nanopart Res 11, 785–792 (2009). https://doi.org/10.1007/s11051-008-9436-6
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11051-008-9436-6