Abstract.
We compare the light extinction spectra of elongated gold nanoparticles with different shapes (cylinder, spherocylinder and ellipsoid) and sizes of 10 to 100nm. We argue that the equivalence of the various moments of mass distribution is the natural comparison criterion —rather than the length-to-diameter (aspect) ratio generally used in the literature— and that it leads to better spectral correspondence between the various shapes.
Graphical abstract
Similar content being viewed by others
References
P.K. Jain, K.S. Lee, I.H. El-Sayed, M.A. El-Sayed, J. Phys. Chem. B 110, 7238 (2006)
E.K. Payne, K.L. Shuford, S. Park, G.C. Schatz, C.A. Mirkin, J. Phys. Chem. B 110, 2150 (2006)
B.N. Khlebtsov, N.G. Khlebtsov, J. Phys. Chem. C 111, 11516 (2007)
B. Khlebtsov, V. Khanadeev, T. Pylaev, N. Khlebtsov, J. Phys. Chem. C 115, 6317 (2011)
A.L. González, C. Noguez, A.S. Barnard, J. Mater. Chem. C 1, 3150 (2013)
D.C. Skillman, C.R. Berry, J. Chem. Phys. 48, 3297 (1968)
B.M.I. van der Zande, M.R. Böhmer, L.G.J. Fokkink, C. Schönenberger, Langmuir 16, 451 (2000)
A. Brioude, X.C. Jiang, M.P. Pileni, J. Phys. Chem. B 109, 13138 (2005)
H. Chen, L. Shao, Q. Li, J. Wang, Chem. Soc. Rev. 42, 2679 (2013) see 6.1.1
M. Quinten, Optical Properties of Nanoparticle Systems: Mie and Beyond (Wiley-VCH, Weinheim, 2010)
G. Mie, Ann. Phys. 25, 377 (1908)
S. Asano, G. Yamamoto, Appl. Opt. 14, 29 (1975)
R. Gans, Ann. Phys. (Leipzig) 342, 881 (1912)
M. Meier, A. Wokaun, Opt. Lett. 8, 581 (1983)
A. Wokaun, Mol. Phys. 56, 1 (1985)
K.L. Kelly, E. Coronado, L.L. Zhao, G.C. Schatz, J. Phys. Chem. B 107, 668 (2003)
H. Kuwata, H. Tamaru, K. Esumi, K. Miyano, Appl. Phys. Lett. 83, 4625 (2003)
A. Moroz, J. Opt. Soc. Am. B 26, 517 (2009)
K.S. Lee, M.A. El-Sayed, J. Phys. Chem. B 109, 20331 (2005)
S.W. Prescott, P. Mulvaney, J. Appl. Phys. 99, 123504 (2006)
C.L. Nehl, J.H. Hafner, J. Mater. Chem. 18, 2415 (2008)
V. Myroshnychenko, J. Rodríguez-Fernández, I. Pastoriza-Santos, A.M. Funston, C. Novo, P. Mulvaney, L.M. Liz-Marzán, F.J. García de Abajo, Chem. Soc. Rev. 37, 1792 (2008)
W.B. Heard, Rigid body mechanics: mathematics, physics and applications, 2.3 (Wiley-VCH, Weinheim
A. Guinier, G. Fournet, Small-angle scattering of X-rays (Wiley, 1955)
B.T. Draine, P.J. Flatau, J. Opt. Soc. Am. A 11, 1491 (1994)
P.J. Flatau, B.T. Draine, Opt. Express 20, 1247 (2012)
M.A. Yurkin, M. Min, A.G. Hoekstra, Phys. Rev. E 82, 036703 (2010)
P.B. Johnson, R.W. Christy, Phys. Rev. B 6, 4370 (1972)
C. Noguez, J. Phys. Chem. C 111, 3806 (2007)
F.G. de Abajo, A. Howie, Phys. Rev. B 65, 115418 (2002)
U. Hohenester, A. Trügler, Comput. Phys. Commun. 183, 370 (2012)
C.F. Bohren, D.R. Huffman, Absorption and scattering of light by small particles (Wiley, New York, 1983)
K. Slyusarenko, B. Abécassis, P. Davidson, D. Constantin, Nanoscale 6, 13527 (2014)
J.H. Song, F. Kim, D. Kim, P. Yang, Chem. Eur. J. 11, 910 (2005)
J.E. Millstone, S.J. Hurst, G.S. Métraux, J.I. Cutler, C.A. Mirkin, Small 5, 646 (2009)
Z.L. Wang, M.B. Mohamed, S. Link, M.A. El-Sayed, Surf. Sci. 440, L809 (1999)
B. Goris, S. Bals, W. Van den Broek, E. Carbó-Argibay, S. Gómez-Graña, L.M. Liz-Marzán, G. Van Tendeloo, Nat. Mater. 11, 930 (2012)
S. Eustis, M.A. El-Sayed, J. Appl. Phys. 100, 044324 (2006)
V. Amendola, M. Meneghetti, J. Phys. Chem. C 113, 4277 (2009)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Constantin, D. 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
Received:
Accepted:
Published:
DOI: https://doi.org/10.1140/epje/i2015-15116-2