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Title: Determination of plasma frequency, damping constant, and size distribution from the complex dielectric function of noble metal nanoparticles

Abstract

This paper develops a novel method for simultaneously determining the plasma frequency ω{sub P}   and the damping constant γ{sub free} in the bulk damped oscillator Drude model, based on experimentally measured real and imaginary parts of the metal refractive index in the IR wavelength range, lifting the usual approximation that restricts frequency values to the UV-deep UV region. Our method was applied to gold, silver, and copper, improving the relative uncertainties in the final values for ω{sub p} (0.5%–1.6%) and for γ{sub free} (3%–8%), which are smaller than those reported in the literature. These small uncertainties in ω{sub p} and γ{sub free} determination yield a much better fit of the experimental complex dielectric function. For the case of nanoparticles (Nps), a series expansion of the Drude expression (which includes ω{sub p} and γ{sub free} determined using our method) enables size-dependent dielectric function to be written as the sum of three terms: the experimental bulk dielectric function plus two size corrective terms, one for free electron, and the other for bound-electron contributions. Finally, size distribution of nanometric and subnanometric gold Nps in colloidal suspension was determined through fitting its experimental optical extinction spectrum using Mie theory based on the previously determinedmore » dielectric function. Results are compared with size histogram obtained from Transmission Electron Microscopy (TEM)« less

Authors:
;  [1];
  1. Centro de Investigaciones Ópticas (CIOp), (CONICET La Plata-CIC) (Argentina)
Publication Date:
OSTI Identifier:
22402797
Resource Type:
Journal Article
Journal Name:
Journal of Applied Physics
Additional Journal Information:
Journal Volume: 116; Journal Issue: 23; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0021-8979
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 77 NANOSCIENCE AND NANOTECHNOLOGY; COPPER; DAMPING; DIELECTRIC MATERIALS; DISTRIBUTION; FUNCTIONS; GOLD; LANGMUIR FREQUENCY; NANOPARTICLES; NANOSTRUCTURES; OSCILLATORS; REFRACTIVE INDEX; SERIES EXPANSION; SILVER; SPECTRA; TRANSMISSION ELECTRON MICROSCOPY; WAVELENGTHS

Citation Formats

Mendoza Herrera, Luis J., Arboleda, David Muñetón, Schinca, Daniel C., Scaffardi, Lucía B., E-mail: lucias@ciop.unlp.edu.ar, and Departamento de Ciencias Básicas, Facultad de Ingeniería, UNLP. Determination of plasma frequency, damping constant, and size distribution from the complex dielectric function of noble metal nanoparticles. United States: N. p., 2014. Web. doi:10.1063/1.4904349.
Mendoza Herrera, Luis J., Arboleda, David Muñetón, Schinca, Daniel C., Scaffardi, Lucía B., E-mail: lucias@ciop.unlp.edu.ar, & Departamento de Ciencias Básicas, Facultad de Ingeniería, UNLP. Determination of plasma frequency, damping constant, and size distribution from the complex dielectric function of noble metal nanoparticles. United States. https://doi.org/10.1063/1.4904349
Mendoza Herrera, Luis J., Arboleda, David Muñetón, Schinca, Daniel C., Scaffardi, Lucía B., E-mail: lucias@ciop.unlp.edu.ar, and Departamento de Ciencias Básicas, Facultad de Ingeniería, UNLP. 2014. "Determination of plasma frequency, damping constant, and size distribution from the complex dielectric function of noble metal nanoparticles". United States. https://doi.org/10.1063/1.4904349.
@article{osti_22402797,
title = {Determination of plasma frequency, damping constant, and size distribution from the complex dielectric function of noble metal nanoparticles},
author = {Mendoza Herrera, Luis J. and Arboleda, David Muñetón and Schinca, Daniel C. and Scaffardi, Lucía B., E-mail: lucias@ciop.unlp.edu.ar and Departamento de Ciencias Básicas, Facultad de Ingeniería, UNLP},
abstractNote = {This paper develops a novel method for simultaneously determining the plasma frequency ω{sub P}   and the damping constant γ{sub free} in the bulk damped oscillator Drude model, based on experimentally measured real and imaginary parts of the metal refractive index in the IR wavelength range, lifting the usual approximation that restricts frequency values to the UV-deep UV region. Our method was applied to gold, silver, and copper, improving the relative uncertainties in the final values for ω{sub p} (0.5%–1.6%) and for γ{sub free} (3%–8%), which are smaller than those reported in the literature. These small uncertainties in ω{sub p} and γ{sub free} determination yield a much better fit of the experimental complex dielectric function. For the case of nanoparticles (Nps), a series expansion of the Drude expression (which includes ω{sub p} and γ{sub free} determined using our method) enables size-dependent dielectric function to be written as the sum of three terms: the experimental bulk dielectric function plus two size corrective terms, one for free electron, and the other for bound-electron contributions. Finally, size distribution of nanometric and subnanometric gold Nps in colloidal suspension was determined through fitting its experimental optical extinction spectrum using Mie theory based on the previously determined dielectric function. Results are compared with size histogram obtained from Transmission Electron Microscopy (TEM)},
doi = {10.1063/1.4904349},
url = {https://www.osti.gov/biblio/22402797}, journal = {Journal of Applied Physics},
issn = {0021-8979},
number = 23,
volume = 116,
place = {United States},
year = {Sun Dec 21 00:00:00 EST 2014},
month = {Sun Dec 21 00:00:00 EST 2014}
}