Effect of Size and Shape on Static Refractive Index, Dielectric constant and Band gap of Nano solids

G.R. Patel¹ , T.C. Pandya²

1. Physics Department, Government Science College, Gandhinagar, Gujarat, India.
2. Physics Department, St. Xaviers College, Navrangpura, Ahmedabad, Gujarat, India.

Correspondence should be addressed to: grpalp94@gmail.com.

Section:Research Paper, Product Type: Isroset-Journal
Vol.6 , Issue.1 , pp.37-42, Feb-2018

CrossRef-DOI:   https://doi.org/10.26438/ijsrpas/v6i1.3742

Online published on Feb 28, 2018

Copyright © G.R. Patel, T.C. Pandya . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
In the present study, a simple theoretical model has been proposed for computation of optical properties such as static refractive index, static dielectric constant and band gap for nanosolids having different nanostructures of different shape based on size dependent atomic cohesive energy. We have computed size dependent static dielectric constant for silicon nanofilm and deviation in band gap for Si nanowire and nanofilm for different size. We have also computed size dependent bandgap of Ge nanowire having square cross section. We have also found that band gap increases as particle size decreases. Our results are compared with the available experimental and simulated data. A close agreement of the computed results with available experimental and simulated data validates the present theoretical model. The present relationships of Static Refractive Index, Dielectric constant and Band gap of Nano solids are potentially applicable for those materials whose experimental data are not available.

Key-Words / Index Term :
Band-gap, refractive index, dielectric constant, size and shape dependent, Si, Ge

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