Iranian Journal of Physics Research

Investigating the size effect in the dielectric function of spherical nano particles and determining their allowed radial interval for experimentally produced samples

Document Type : Original Article

Authors

H Nadjari 1
H Movahedinejad 2

1 . Physics Departmen, Zanjan University, Zanjan, Iran

2 Physics Departmen, Zanjan University, Zanjan, Iran 2. Institute of Nuclear Science, Iran

https://doi.org/10.47176/ijpr.20.1.38131
Abstract
A new method is developed to calculate the mean free path of electrons in spherical nano particles and related Г(R) in the Drude model; accordingly, we have corrected ϵ(R,ω). The new dielectric function is inserted in the series expansion of extinction and absorption cross sections in the Mie Theory. After plotting the real and imaginary part of  ϵ(R,ω) in 3D graphs, and Cext and Cabs in other 3D graphs, we show that the SPR’s positions are relatively constant for two samples; meanwhile, it is displayed that the absorbance for these two samples have visible changes. At last, in two separate 3D graphs, we have plotted the variation of wave length and absorbance against radius and standard deviation to estimate the radius range for experimentally produced gold nanoparticles. We have estimated the radius to be 17 ~ 20 nm for the immediately prepared sample and 12~14 nm for the same sample illuminated with pulsed laser. These results are consistent with the experimental data of TEM images.

Keywords

nano particles
dielectric function
mie thoeory
3D absrpion diagram
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