Thermo-physical Behavior of Nanomaterials with the Change in Size and Shape

Year 2021, , 1 - 7, 28.02.2021

Ratan Lal Jaiswal , Brijesh Kumar Pandey , Dishani Mishra Huda Fatma

https://doi.org/10.5541/ijot.869865

Cited By: 8

Abstract

Thermo elastic properties of nanomaterials has been very interesting among the researchers during the last decade, still it is a great challenge to predict the exact thermoelastic behaviour of nanomaterials. In the present work we have studied the volume thermal expansion coefficient of low dimensional solid and the variation of Young’s modulus with change in temperature for different shapes of nanomaterials by considering the effect of packing factor. We have computed the volume thermal expansion coefficient of Silver (Ag), Aluminum (Al), Copper (Cu), and Lead (Pb) with their varying size. The effect of temperature on Young’s modulus of Silver (Ag), Gold (Au), Nickel (Ni), Copper (Cu) and Silicon (Si) has also been studied. The computed results are compared with available experimental data which confirms that the volume thermal expansion coefficient increases with reduction in size of the nanomaterials. It has been also observed that the Young’s modulus has linear decrement with increase in temperature which indicates that Young’s modulus of nanomaterials has negative temperature coefficient.

Keywords

Thermal expansion coefficient, Packing factor, Elastic properties, Nanostructures

References

• M. Singh, “Modelling of thermal expansion coefficient and specific heat of nanomaterials”, National university of Lesotho, International Science, Technology and Innovation Conference and Expo, pp. 81-84, 2018.
• M. Goyal and B. R. K. Gupta, “Shape, size and temperature dependency of thermal expansion, lattice parameter and bulk modulus in nanomaterials”, Journal of Physics, 90(80), pp. 1-8, 2018.
• M. Goyal and B. R. K. Gupta, “Study of Shape, Size and Temperature-Dependent Elastic Properties of Nanomaterials”, Modern Physics Letters B, vol. 33(26), 1950310, 2019.
• M. Manua, M. Singh, V. Dubey, “Impact of Size on Moduli of Elasticity of Nanosolid, Nanowire and Nanofilm”, American International Journal of Research in Formal, Applied & Natural Sciences, vol. 21, pp. 32-41, 2018.
• Brijesh K Pandey and Ratan L Jaiswal, “Prediction of Elastic Moduli of Metallic Nanoparticles”, International Journal of Materials Science, vol. 12, pp. 0973-4589, 2017.
• Sachin, B. K. Pandey and R. L. Jaiswal, “Modelling for the prediction of melting temperature for metallic nanoparticles”, Advanced Science, Engineering and Medicine, Vol. 12(1), 27-30, 2020.
• Q. Fu, Z. Cui, Y. Xue and H. Duan, “Research of size and shape dependent thermodynamic properties of the actual melting process of nanoparticles”, The Journal of Physical Chemistry, v. 122, pp. 15713-15722, 2018.
• H. Chhabra, S. Bhatt and M. Kumar, “Search of a model for melting temperature and cohesive energy of nanomaterials”, Indian Journal of Pure and Applied Physics, v. 57, pp. 361-368, 2019.
• C. Birleanu, M. Pustan, V. Merie, R. Muller, R. Voicu, A. Baracu and S. Craciun, “Temperature Effect on the Mechanical Properties of Gold Nanofilms with Different Thickness”, Materials Science and Engineering (IOP Conference Publication), vol. 147, 2016.
• R. Kumar and M. Kumar, ‘Size dependence of thermoelastic properties of nanomaterials”, International Journal of Nanoscience, 9(5), pp. 537-542, 2010.
• G. Sharma, S. Bhatt, R. Kumar and M. Kumar, “Size, Shape and Temperature Effect on Nanomaterials”, Indian Journal of Pure and Applied Physics, vol. 53, pp. 768-775, 2015.
• W. H. Qi and M. P. Wang, “Size effect on the cohesive energy of nanoparticle”, Journal of Materials Science Letters, v. 21, pp. 1743-1745, 2002.
• Y. D. Qu, X. L. Liang, X. Q. Kong and W. Z. Zhang, “Size dependent cohesive energy, melting temperature and debye temperature of spherical metallic nanoparticles”, Physics of metals and metallography, v. 118(6), pp. 528534, 2017.
• R. Kumar and M. Kumar, “Effect of size on the cohesive energy, melting temperature and debye temperature of nanomaterials”, Indian Journal Of Pure and Applied Physics, v. 50, pp. 329-334, 2012.
• R. Kumar, G. Sharma, M. Kumar, “Size and Temperature Effect on Thermal Expansion Coefficient and Lattice Parameter of Nanomaterials”, Modern Physics Letters B (World Scientific Publishing Company), vol. 27, 2013.
• G. Guisbiers, “Size and shape dependencies of nanomaterial properties: Thermodynamic considerations”, Materials Research Society Symposium Proceedings, v. 1371, pp. 1-6, 2012.
• M. Manu and V. Dubey, “Theoretical modeling on thermal expansion of Al. Ag and Cu nanomaterials”, American Institute of Physics Conference Proceedings., v. 1953(030191), pp. 1-5.
• M. Zhao and Q. Jiang, “Size effect on thermal properties in low-dimensional materials”, Key Engineering Materials, v. 444, 189-217, 2010.
• Y. F. Zhu, J. S. Lian and Q. Jiang, “Modeling of the melting point, debye temperature, thermal expansion coefficient and the specific heat of nanostructured materials”, The Journal of Physical Chemistry C., v. 113, pp. 16896-16900, 2009.
• C. Kittel, Introduction to solid state physics, 8th Ed., John Wiley and Sons, Inc., USA, pp. 20, 2004.
• R. Kumar, G. Sharma and M. Kumar, “Effect of size and shape on the vibrational and thermodynamic properties of nanomaterials”, Journal of Thermodynamics, pp. 1-5, 2013.
• C. C. Yang, M. X. Xiao, W. Li and Q. Jiang, “Size effects on the debye temperature, Einstein temperature and volume thermal expansion coefficient of nanocrystals”, Solid State Communication, v. 139, pp. 148-152, 2006.
• L. Lihong, Li Meizhi, Q. Fuqi and W. Yueguang, “Temperature Effect on Elastic Modulus of Thin Films and Nanocrystals”, Philosophical Magazine, vol. 93, pp. 574-583, 2013.
• X. Y. Zhou, B. L. Huangb and T. Y. Zhang, “Size and Temperature Dependent Young’s Modulus and Size Dependent Thermal Expansion Coefficient of Thin Films”, Royal Society of Chemistry, vol. 18, 2016.
• Shridhar Pathak, BK Pandey, Ratan L Jaiswal, “Modelling for the Study of thermoelastic Properties of Nanoparticles” Adv. Mater. Lett., 12(2): 21021605, 2021.