Comparative study of different equations for the effect of shape and size on young’s modulus
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Date
2020-12
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G.B. Pant University of Agriculture and Technology, Pantnagar - 263145 (Uttarakhand)
Abstract
In the current work a comparative study of four unique models (Jiang's model, Qi-Wang's model, Qi's model and Lu's model) have been done for investigating shape and size effect on Young's modulus for different classes of solids (i.e. nanometals and semiconductors). After choosing the best model for mechanical properties of semiconductors, the work has been extended to investigate the shape and size effect on electrical properties like band gap, dielectric constant and electrical susceptibility. Four
different shapes regular tetrahedral, regular octahedral, regular hexahedral and spherical are considered for size and shape dependent study of mechanical and electrical properties of Ag, Al, Au, Ni, Bi nanometals and Si, Ge, CdS, ZnS, ZnSe semiconductors. This study reveals that the Young’s modulus of nanometals decreases with size decrement whereas, for semiconductors it shows inverse effect due to quantum confinement of charge carriers. Qi’s model has been found best suitable for mechanical study of nanometals. However Jiang’s model fits best for the semiconductor class. Shape and size dependent electrical study of semiconductors shows that band gap increases with size decrement whereas both susceptibility and dielectric constant show decrement. The outcomes acquired from present study have been compared graphically with available experimental and simulated data, which show a close agreement in between. Present study also reveals that shape effect is more prominent for small sized nanoparticles while its impact gets immaterial for higher sizes. This study is helpful in choosing the shape of the materials according to the requirement.