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Virtual Journal for Biomedical Optics

Virtual Journal for Biomedical Optics

| EXPLORING THE INTERFACE OF LIGHT AND BIOMEDICINE

  • Editors: Andrew Dunn and Anthony Durkin
  • Vol. 6, Iss. 8 — Aug. 26, 2011

Finite Frequency f-sum Rule for Assessment of Number Density of Gold Nanoparticles (AuNPs) and Kramers–Kronig Relation for Refractive Index of Colloidal Gold

Ville Kontturi, Pertti Silfsten, and Kai-Erik Peiponen

Applied Spectroscopy, Vol. 65, Issue 7, pp. 746-749 (2011)


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Abstract

Absorption spectra from colloids containing different concentrations of spherical gold nanoparticles in water were measured with a spectrophotometer. The absorption spectra were used to calculate the number density of nanoparticles (NPs) with the aid of an unconventional finite spectral band f-sum rule applied for gold colloid. Good correlation between the number density of dispersion electrons, obtained from the f-sum rule, and the number density of nanoparticles was found. The effective absolute refractive index of the gold colloid was obtained with the aid of a singly subtractive Kramers–Kronig relation, and in addition the refractive index change due to the nanoparticles was obtained with the aid of a conventional Kramers–Kronig relation. Such optical properties are valuable in studies of light interaction with nanoparticles.

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Vol. 6, Iss. 8 Virtual Journal for Biomedical Optics

Citation
Ville Kontturi, Pertti Silfsten, and Kai-Erik Peiponen, "Finite Frequency f-sum Rule for Assessment of Number Density of Gold Nanoparticles (AuNPs) and Kramers–Kronig Relation for Refractive Index of Colloidal Gold," Appl. Spectrosc. 65, 746-749 (2011)
http://www.opticsinfobase.org/vjbo/abstract.cfm?URI=as-65-7-746

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