Indian Journal of Pure and Applied Physics

Open Access Open Access  Restricted Access Subscription Access

Application of Size and Shape Dependent Model for Shear Modulus of Nanomaterials


Affiliations
1 Department of Physics, G.B. Pant University of Agriculture and Technology, Pantnagar 263 145, India
 

A simple theory based on bond energy model is developed. The model is used to predict the size and shape dependence of shear modulus of different nanomaterials. The results obtained are compared with the our theoretical predictions as well as experimental data. In small size range (<10nm) there is a very good agreement between earlier predictions as well as experimental observations. It is discussed that present model is very simple as compared with the earlier model. In addition to this, our model includes the effect of shape also, which has not been considered in earlier theory. Due to the simplicity and applicability of the model, it can be used to understand the size and shape dependence of shear modulus of nanomaterials. To the best of our knowledge, such simple model is not yet available in the literature to predict the size and shape dependence of shear modulus.

Keywords

Shear Modulus, Nanomaterials, Size, Shape.
User
Notifications
Font Size

  • Guisbiers G & José-Yacaman M, Use of chemical functionalities to control stability of nanoparticles. In Encyclopedia of Interfacial Chemistry: Surface Science and Electrochemistry, Elsevier, (2018) 875.

  • Xiong S, et al., Phys Chem Chem Phys, 13 (2011) 10652.

  • Guisbiers G, Nanoscale Res Lett, 5 (2010) 1132.

  • Yacamán M J, et al., Journal of Vacuum Science & Technology B: Microelectronics and Nanometer Structures Processing, Measurement, and Phenomena, 19 (2001) 1091.

  • Qu Y D, et al., Phys Metals Metallogr, 118 (2017) 528.

  • Zhu Y F, et al., J Phys Chem C, 113 (2009) 16896.

  • Yang C C, et al., Solid State Commun, 139 (2006) 148.

  • Zhao Y H & Lu K, Phys Rev B, 56 (1997) 14330.

  • Lee J G & Mori H, The Europ Phys J D-Atom, Molecul, Opt Plasma Phys, 34 (2005) 227.

  • Guisbiers G, Arscott S, Gaudet M, Belfiore A & Snyders R, Selenium surface energy determination from size-dependent considerations. In IEEE 5th International Nanoelectronics Conference (INEC), (2013) 105.

  • Qian L H, et al., Acta Mater, 50 (2002) 3425.

  • Jiang Q, et al., Appl Phys A: Mater Sci Process, 64 (1997).

  • Wang Z L, et al., J Phys Chem B, 102 (1998) 6145.

  • Couchman P R & Jesser W A, Nature, 269 (1977) 481.

  • Hu J, et al, Appl Phys Lett, 86 (2005) 151915.

  • Liang L, et al., Philos Mag, 93 (2013) 574.

  • Wang J, et al., J Phys D: Appl Phys, 41 (2008) 165406.

  • Zhou X Y, et al., Phys Chem Chem Phys, 18 (2016) 21508.

  • Yu X & Zhan Z. Nanoscale Res Lett, 9 (2014) 1.

  • Liu X J, et al., J Appl Phys, 109 (2011) 074319.

  • Sharma G & Kumar M, High Temp – High Press, 44 (2015) 249.

  • Claudio T, et al., Phys Chem Chem Phys, 16 (2014) 25701.

  • Cao G, Nanostructures and nanomaterials: Synthesis and Applications, Imperial Press, London, (2004).

  • Shaat M & Abdelkefi A, J Appl Phys, 120 (2016) 235104.

  • Lu H & Meng X, Sci Rep, 5 (2015) 1.

  • Chhabra H & Kumar M, J Phys Chem Solids, 139 (2020) 109308.

  • Pandey V, Kumar M, Physica B: Condensed Matter, 629 (2022) 413617.

  • Anderson O L, Equations of state of solids for geophysics and ceramic science (Oxford University Press, Oxford) 1995.

  • Kumar M, Physica B, 311 (2002) 340.

  • Bhatt S & Kumar M, High Temp- High Press, 47 (2018) 383.

  • Bhatt S & Kumar M, J Phys Chem Solids, 106 (2017) 112.

  • Qi W H & Wang M P, J Nano Res, 7 (2005) 51.

  • Qi W H, Physica B: Condensed Matter, 368 (2005) 46.

  • Qi W, Nanoscop Thermodyn, Accounts Chem Res, 49 (2016) 1587.

  • Kumar R & Kumar M, Int J Nanosci, 9 (2010) 537.


Abstract Views: 146

PDF Views: 93




  • Application of Size and Shape Dependent Model for Shear Modulus of Nanomaterials

Abstract Views: 146  |  PDF Views: 93

Authors

Varun Pandey
Department of Physics, G.B. Pant University of Agriculture and Technology, Pantnagar 263 145, India
Munish Kumar
Department of Physics, G.B. Pant University of Agriculture and Technology, Pantnagar 263 145, India

Abstract


A simple theory based on bond energy model is developed. The model is used to predict the size and shape dependence of shear modulus of different nanomaterials. The results obtained are compared with the our theoretical predictions as well as experimental data. In small size range (<10nm) there is a very good agreement between earlier predictions as well as experimental observations. It is discussed that present model is very simple as compared with the earlier model. In addition to this, our model includes the effect of shape also, which has not been considered in earlier theory. Due to the simplicity and applicability of the model, it can be used to understand the size and shape dependence of shear modulus of nanomaterials. To the best of our knowledge, such simple model is not yet available in the literature to predict the size and shape dependence of shear modulus.

Keywords


Shear Modulus, Nanomaterials, Size, Shape.

References