Development of Nano Thermodynamics With its Applications to Different Types of Nanomaterials

Priya Paneru¹ , Munish Kumar²

1. Dept. of Physics, G. B. Pant University of Agriculture and Technology, Pantnagar, 263145, India.
2. Dept. of Physics, G. B. Pant University of Agriculture and Technology, Pantnagar, 263145, India.

Section:Research Paper, Product Type: Journal-Paper
Vol.12 , Issue.3 , pp.1-8, Jun-2024

Online published on Jun 30, 2024

Copyright © Priya Paneru, Munish Kumar . 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 :
Simple thermodynamics is discussed to study the properties of nanomaterials. The method is used to study the size and shape dependence of thermodynamic properties of nanomaterial. We applied it to predict the compression, thermal expansion and their size and shape dependence of different type of nanomaterials. The results are compared with the available experimental data. A good agreement between theory and experiment demonstrates the validity of the theory. It is found that the theory reduces the number of parameters and is applicable to different types of nanomaterials, under varying conditions of size, shape, pressure and temperature. The application to different type of nanomaterials demonstrates the universal nature of the theory. Such simplicity, wide applicability and good agreement with experimental data never seen earlier for nanomaterials.

Key-Words / Index Term :
Size, shape, thermodynamics, nanomaterials, equation of state

References :
[1] C. C. Yang, Y. W. Mai, Thermodynamics at the nanoscale: A new approach to the investigation of unique physicochemical properties of nanomaterials. Mater. Sci. and Engineering: R: Reports, Vol.79, No.1, pp.1-40, 2014.
[2] S. Bhatt, M. Kumar, "Effect of size and shape on melting and superheating of free standing and embedded nanoparticles." Journal of Physics and Chemistry of Solids,Vol.106, No.5, pp.112-117, 2017.
[3] S. Rab, A. Zafer, R. K Sharma, L. Kumar, A Haleem and S. Yadav, "Simulation based design analysis of pressure chamber for metrological applications up to 200 MPa." Indian Journal of Pure & Applied Physics, Vol.59, No.3, pp.202-205, 2022.
[4] B. Chen, D. Penwell, M. B. Kruger, A. F. Yue, B. J. Fultz, Nanocrystalline iron at high pressure. Applied Physics, Vol.89, No.9, pp.4794-4796, 2001.
[5] S. H. Tolbert and A. P. Alivisatos, "Size dependence of a first order solid-solid phase transition: the wurtzite to rock salt transformation in CdSe nanocrystals." Science, Vol.265, No.5170, pp.373-376, 1994.
[6] S. H. Tolbert, A. B. Herhold, L. E. Brus, and A. P. Alivisatos, "Pressure-induced structural transformations in Si nanocrystals: surface and shape effects." Physical Review Letters, Vol.76, No.23, pp.4384-4389, 1996.
[7] C. C. Chen, A. B. Herhold, C. S. Johnson, and A. P. Alivisatos, "Size dependence of structural metastability in semiconductor nanocrystals." Science, Vol.276, No.5311, pp.398-401, 1997.
[8] D. Chen, L. R. Penwell, M. B. Kruger, A. F. Yue, B. Fultz, Nanocrystalline iron at high pressure. Journal of Applied Physics, Vol.89, No.9, pp. 4794-4796, 2001.
[9] R. Dingreville, J.M. Qu and Cherkaoui, "Surface free energy and its effect on the elastic behavior of nano-sized particles, wires and films." Journal of the Mechanics and Physics of Solids, Vol.53, No.8, pp.1827-1854, 2005.
[10] S. H. Tolbert and A. P. Alivisatos, High-Pressure Structural Transformations In Semiconductor Nanocrystals. Annual Review of Physics Chemistry, Vol.46, No.2, pp.595-625, 1999.
[11] J. Z. Jiang, J. S. Olsen, L. Gerward, S. Mørup, "Compressibility of nanostructured Fe-Cu materials prepared by mechanical milling." Nanostructured Materials, Vol.12, No.5, pp.847-850, 1999.
[12] V. Swamy, L. S. Dubrovinsky, N. A. Dubrovinskaia, A. S. Simionovici, M. Drakopoulos, V. Dmitriev, H. P. Weber, "Compression behavior of nanocrystalline anatase TiO2." Solid state communications, Vol.125, No.2, pp.111-115, 2003.
[13] H. Liu, C. Jin, J. Chen, J. Hu, Anomalous Dynamical Charge Change Behavior of Nanocrystalline 3C-SiC upon Compression. Journal of the American Ceramic Society, Vol.87, No.12, pp.2291-2293, 2004.
[14] Y. He, J. F. Liu, W. Chen, Y. Wang, H. Wang, Y. W. Zeng, J. Z. Jiang, "High-pressure behavior of Sn O 2 nanocrystals." Physical Review B, Vol.72, No.21 pp.212102-212106, 2005.
[15] H. Marquardt, A. Gleason, K. Marquardt, S. Speziale, L. Miyagi, G. Neusser, R. Jeanloz, "Elastic properties of MgO nanocrystals and grain boundaries at high pressures by Brillouin scattering." Physical Review B, Vol.84, No.6, pp.064131-064136, 2011.
[16] G. Xiao, Y. Cao, G. Qi, L. Wang, C. Liu, Z. Ma, B. Zou, "Pressure effects on structure and optical properties in cesium lead bromide perovskite nanocrystals." Journal of the American Chemical Society, Vol.139, No.29, No.10087-10094, 2017.
[17] J. Lei, S. Hu, C. L. Turner, K. Zeng, M. T. Yeung, J. Yan, S. H. Tolbert, "Synthesis and high-pressure mechanical properties of superhard rhenium/tungsten diboride nanocrystals." ACS nano, Vol.13, No.9 pp.10036-10048, 2019.
[18] L. Yue, D. Xu, Z. Wei, T. Zhao, T. Lin, R. Tenne, B. Liu, "Size and shape’s effects on the high-pressure behavior of WS2 nanomaterials." Materials, Vol.15, No.8, pp.2838-2848, 2022.
[19] S. K. Jalal, A. M. Alshekh, R. H. Alsaqa, "High pressure effects on the phonon frequency spectrum of silicon nanoparticle." Iranian Journal of Science and Technology, Transactions A: Science, Vol.45, No.1, pp.391-396, 2021.
[20] K. Suleiman, Eurasian "Optical and acoustic Gruneisen parameter of nano-sized particles." Eurasian Journal of Science and Engineering, Vol.4, No.3, pp.19-30, 2019.
[21] Suzuki, "Thermal expansion of periclase and olivine, and their anharmonic properties." Journal of Physics of the Earth, Vol.23, No.2, pp.145-159, 1975.
[22] M. Kumar, A comparative study of Suzuki and Kumar formulations for thermal expansivity. Indian Journal of Pure & Applied Physics, Vol.42, No.2, pp.67-72, 2004.
[23] M. Kumar, "Analysis of Suzuki, Shanker, and Kumar formulations under strong compressions." Journal of Physics and Chemistry of Solids, Vol.65, No.6, pp.1177-1180, 2004.
[24] Anderson O L, Equation of state of solids for geophysics and ceramic science. No. 31. Oxford University Press, Oxford 1995.
[25] Bhatt, G. Sharma and M. Kumar "Search of an equation of state for nanomaterials." Indian Journal of Pure & Applied Physics, Vol.51, No.2, pp.642-648, 2013.
[26] M. Kumar, Equation of state and bulk modulus under the effect of high pressure-high temperature. Physics and Chemistry of Minerals, Vol.27, No.6, pp.650-655, 2000.
[27] V. Pandey and M. Kumar, "Development of size and shape dependent model for bulk modulus from bulk to nanoscale." Physica B: Condensed Matter, Vol.629, No.4, pp.413617-413621, 2022.
[28] U. D. Sharma and M. Kumar, "Analysis of equation of state for nanomaterials." Physica B: Condensed Matter, Vol.406, No.4, pp.794-800, 2011.
[29] R. Kumar and M. Kumar, "Size dependence of thermoelastic properties of nanomaterials." International Journal of Nanoscience, Vol.9, No.5, pp.537-542, 2010.
[30] Lu, J. T. Wang and W.D. Wei, "Comparison of properties of nanocrystalline and amorphous Ni-P alloys." Journal of Physics D: Applied Physics, Vol.25, No.5, pp.808-812, 1992.
[31] Y. H. Zhao, K. Lu, Grain-size dependence of thermal properties of nanocrystalline elemental selenium studied by x-ray diffraction. Physical Review B, Vol.56, No.22, pp.14330-14334 1997.
[32] X. Wu, Z. Wu, L. Guo, C. Liu, J. Liu, X. Li, H. Xu, Pressure-induced phase transformation in controlled shape ZnO nanorods. Solid State Commuunication, Vol.135, No.7, pp.780-784 2005.
[33] Y. Q. Liu, H. T. Cong, H. M. Cheng, "AlN nanoparticle-reinforced nanocrystalline Al matrix composites: Fabrication and mechanical properties." Materials Science and Engineering: A, Vol.505, No.1, pp.151-156, 2009.
[34] B. Chen, D. Penwell, M.B. Kruger, The compressibility of nanocrystalline nickel. Solid State Communication, Vol.115, No.4, pp.191-194, 2000.
[35] Y. K. Kwon, S. Berber, D. Tomanek, Thermal contraction of carbon fullerenes and nanotubes. Physical review letters, Vol.92, No.1, pp.015901-015904, 2004.