The Elastic Modulus of Nanometer-Sized Tungsten Layers and Wires

Abstract:

The size-dependent elastic modulus of tungsten layers and wires is predicted according to size-dependent melting temperature model. The elastic modulus decreases with decreasing of size and the drop becomes dramatically once the size decreases below 3 and 6 nm for layers and wires, respectively. Moreover, the softening of elastic modulus for wires is nearly twice as large as that for layers when size remains the same. The accuracy of the model is verified by experimental and atomistic simulations results.

• Periodical: Advanced Materials Research (Volume 486)
• Pages: 145-149
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.486.145
• Online since: March 2012
• Authors: H.M. Lu, Yuan Yuan Han, Xiang Kang Meng
• Keywords: Elastic Modulus, Layers, Size Effect, Wires

References

[1] K.F. Badawi, P. Villain, P. Goudeau and P.O. Renault, Appl. Phys. Lett. 80 (2002), p.4705.

[2] D.C. Hurley, V.K. Tewary and A.J. Richards, Thin Solid Films 398-399 (2001), p.326.

DOI: 10.1016/s0040-6090(01)01338-4

[3] P. Goudeau, P.O. Renault, P. Villain, C. Coupeau, V. Pelosin, B. Boubeker, K.F. Badawi, D. Thiaudiere and M. Gailhanou, Thin Solid Films 398-399 (2001), p.496.

DOI: 10.1016/s0040-6090(01)01464-x

[4] P. Villain, P. Goudeau, P.O. Renault and K.F. Badawi, Appl. Phys. Lett. 81 (2002), p.4365.

[5] P.O. Renault, E. Le Bourhis, P. Villain, P. Goudeau, K.F. Badawi and D. Faurie, Appl. Phys. Lett. 83 (2003), p.473.

DOI: 10.1063/1.1594280

[6] G.Y. Jing, H.L. Duan, X.M. Sun, Z.S. Zhang, J. Xu, Y.D. Li, J.X. Wang and D.P. Yu, Phys. Rev. B 73 (2006), p.235409.

[7] C.Q. Chen, Y. Shi, Y.S. Zhang, J. Zhu and Y.J. Yan, Phys. Rev. Lett. 96 (2006), p.075505.

[8] E.P.S. Tan, Y. Zhu, T. Yu, L. Dai, C.H. Sow, V.B.C. Tan and C.T. Lim, Appl. Phys. Lett. 90 (2007), p.163112.

[9] R.E. Miller and V.B. Shenoy, Nanotechnology 11 (2000), p.139.

[10] L.H. Liang, J.C. Li and Q. Jiang, Solid State Commun. 121 (2002), p.453.

[11] C.Q. Sun, B.K. Tay, X.T. Zeng, S. Li, T.P. Chen, J. Zhou, H.L. Bai and E.Y. Jiang, J. Phys.: Condens. Matter 14 (2002), p.7781.

[12] C.T. Sun and H. Zhang, J. Appl. Phys. 93 (2003), p.1212.

[13] F.Q. Yang, J. Appl. Phys. 95 (2004), p.3516.

[14] P. Villain, P. Beauchamp, K.F. Badawi, P. Goudeau and P.O. Renault, Scr. Mater. 50 (2004), p.1247.

[15] L.G. Zhou and H. Huang, Appl. Phys. Lett. 84 (2004), p. (1940).

[16] R. Dingreville, J. Qu and M. Cherkaoui, J. Mech. Phys. Solids 53 (2005), p.1827.

[17] L.G. Zhou and H. Huang, Int. J. Multiscale Computational Eng. 4 (2006), p.19.

[18] R. Dingreville and J. Qu, Acta Mater. 55 (2007), p.141.

[19] Z.G. Wang, X.T. Zu, L. Yang, F. Gao and W.J. Weber, Phys. Rev. B 76 (2007), p.045310.

[20] J.M. Blakely, Introduction to the Properties of Crystal Surfaces, Pergamon Press, Oxford (1973).

[21] Q. Jiang, L.H. Liang and D.S. Zhao, J. Phys. Chem. B 105 (2001), p.6275.

[22] H.M. Lu and Q. Jiang, J. Phys. Chem. B 108 (2004), p.5617.

[23] Q. Jiang, H.M. Lu and M. Zhao, J. Phys.: Condens. Matter 16 (2004), p.521.

[24] Periodic Table of the Elements, Sargent-Welch Scientific Company, Skokie (1980).

[25] F.G. Shi, J. Mater. Res. 9 (1994), p.1307.

[26] Q. Jiang, H.Y. Tong, D.T. Hsu, K. Okuyama and F.G. Shi, Thin Solid Films 312 (1998), p.357.

[27] A.R. Regel and V.M. Glazov, Semiconductors 29 (1995), p.405.

[28] Q. Jiang, Z. Zhang and J.C. Li, Chem. Phys. Lett. 322 (2000), p.549.

[29] C.Q. Sun, Prog. Solid State Chem. 35 (2007), p.1.

[30] A.R. Ubbelohde, The Molten State of Matter: Melting and Crystal Structure, John Wiley, Chichester (1978).