Optical and Acoustic Grüneisen Parameter of Nano-sized Particles

Author: Abdulrahman Khaleel Suleiman^1
1Department of Physics, College of Science, Salahaddin University, Erbil, Iraq

Abstract:  Theoretical size dependence optical and acoustic Grüneisen parameter γ^op(r ) and γ^ac(r) at room temperature (300 K) are calculated for Si nanoparticles using modified Debye-Einstein approximation model. The obtained results are used for studying the total Grüneisen parameter γ(θ_D(r),θ_E(r)). All parameters forming the model including Debye’s θ_D (r,T) and Einstein’s θ_E (r,T) temperatures and lattice volume are calculated according to their nanoscale size dependence. These values θ_E (r,T) and θ_D (r,T) for Silicon decrease with decreasing nanoparticle size, except for lattice volume and Grüneisen parameter which increases to about 2.9 times of its bulk lattice volume and total Grüneisen parameter to about 2.45 compared with bulk value when the particle diameter reaches lower than 5 nm.

Keywords: Grüneisen Parameter, Debye’s Temperature, Einstein’s Temperature, Acoustic and Optical Branch, Nanoparticle
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doi: 10.23918/eajse.v4i3sip19

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