Authors

1 1Department of Physics and Electronics, National University of Lesotho, P.O. Roma 180, Lesotho

2 Department of Physics, R.H. Govt. Post Graduate College, Kumaun University, Kashipur, Udham Singh Nagar (Uttarakhand), 244713, India

Abstract

A simple theoretical model is developed to explore the size and shape dependence of thermal expansion and Debye temperature of nanomaterials. The model theory is based on cohesive energy and surface area change of the nanocrystals compared to the bulk crystals. It is found that the Debye temperature decreases with the decrease in particle size whereas, the thermal expansion increases as the particle size decreases. The present modelling results and predictions are very consistent with the available experiment results, implying that the model could be expected to be a general approach to understand the thermodynamic properties of nanomaterials. Copyright © 2017 VBRI Press

Keywords

1.Ghosha S.; Raychaudhur, A. K.; J. of Appl. Phys., 2013, 114,
224313.

2.Qi, W.; Accounts of Chem. Res.,
2016,49, 1587.
3.Roduner, E.; Chem Soc, Rev.,2006, 35, 583.

4.Jiang, Q.; Yang, C.C.; Current Nanoscience, 2008, 4, 179.

5.Chookajorn, T.; Murdoch, H.A.; Schuh, C.A.; Science, 2012, 337,
951.

6.Bandyopadhyay, A.K.(Eds.); Nano Materials; New Age Science:
India, 2009.

7.Yang, C.C.; Li, S.; J. of Phys. Chem. C, 2009, 113, 14207.

8.Singh, M.; Singh, M.; J Pramana, 2015, 84, 609.

9.Singh, M.; Hlabana, K.K.; Singhal, S.; Devlal, K.; J. of Taibah
Univ. for Science, 2016, 10, 375.

10.Liu, X.J.; Zhou, Z.F.; Yang, L. W.; Yang, W.; Li, J.W.; Xie, G.F.;
Fu, S.Y.;Sun, C.Q.; J. of Appl. Phys., 2011, 109, 074319.

11.Qi, W.H.; Physica B, 2005, 46, 368.

12.Lindemann, F.A.; Phys. Z, 1910, 11, 609.

13.Das, J.G.; Rev. Mod. Phys., 1999, 71, 1737.

14.Kumar, R.; Kumar, M.; International J. of nanoscience, 2010, 9,
537.

15.
Kittel, C.(Eds.); Introduction to Solid State Physics, 8th Edition;
John Wiley and Sons
; USA, 2004.
16.
Nanda, K.K.; Sahu, S.N.; Behra, S.N.; Phys. Rev. A,2002, 66,
013208.

17.King, H.W.; Cahn, R.W.(Eds.); Physical Metallurgy; North
Holland:Netherlands, 1970.

18.
Balerna, A.; Mobilio, S.; Phys. Rev. B, Condens. Matter,1986, 34,
2293