Viscosity of Metallic Glass Forming Liquids: Analysis Based on Bond Strength-Coordination Number Fluctuations

Abstract:

A model that describes the viscous behavior in terms of the mean values of the bond strength, the coordination number, and their fluctuations of the structural units that form the melt has been proposed by one of the authors. In the present study, the viscous behavior of several metallic glass forming systems are analyzed by using the model. From the analysis, microscopic information such as the number of bonds that must be broken to observe the viscous flow is obtained. It is also shown that when the magnitudes of energy and coordination number fluctuations are equal, the behavior of the viscosity described by our model corresponds perfectly to the behavior described by the Vogel-Fulcher-Tammann (VFT) equation.

• Periodical: Materials Science Forum (Volumes 638-642)
• Pages: 1621-1626
• DOI: https://doi.org/10.4028/www.scientific.net/MSF.638-642.1621
• Online since: January 2010
• Authors: Masaru Aniya, Masahiro Ikeda
• Keywords: Bond Strength-Coordination Number Fluctuation Model, Fragility, Metallic Glass Forming Liquids, Viscosity

References

[1] A. Inoue, K. Ohtera, K. Kita and T. Masumoto: Jpn. J. Appl. Phys. Vol. 27 (1988), p. L2248.

[2] A. Peker and W.L. Johnson: Appl. Phys. Lett. Vol. 63 (1993), p.2342.

[3] W. H. Wang, C. Dong and C. H. Shek: Mater. Sci. Eng. R Vol. 44 (2004), p.45.

[4] M. Miller and P. Liaw, editors, Bulk Metallic Glasses (Springer, USA 2008).

[5] Y. Takigawa, J. Kobota, S.W. Chung, H. Tsuda and K. Higashi: Mater. Trans. Vol. 48 (2007), p.1580.

[6] S. Mechler, G. Schumacher, I. Zizak, M.P. Macht and N. Wanderka: Appl. Phys. Lett. Vol. 91 (2007), p.021907.

DOI: 10.1063/1.2755924

[7] Y. Kawamura and A. Inoue: Appl. Phys. Lett. Vol. 77 (2000), p.1114.

[8] G. J. Fan and H.J. Fecht: J. Chem. Phys. Vol. 116 (2002), p.5002.

[9] M. Aniya and T. Shinkawa: Mater. Trans. Vol. 48 (2007), p.1793.

[10] M. Aniya: J. Therm. Anal. Cal. Vol. 69 (2002), p.971.

[11] C. A. Angell: J. Phys. Chem. Solids Vol. 49 (1988), p.863.

[12] M. Ikeda and M. Aniya, in: Solid State Ionics, edited by B.V.R. Chowdari et al. / Macmillan India (2008), p.409.

[13] M. Ikeda and M. Aniya: Solid State Ionics, in press.

[14] G. Adam and J.H. Gibbs: J. Chem. Phys. Vol. 43 (1965), p.139.

[15] H. Vogel: Phys. Z. Vol. 22 (1921), p.645. / G.S. Fulcher: J. Amer. Ceram. Soc. Vol. 8 (1925), p.339. / G. Tammann and H. Hesse: Z. Anorg. Allg. Chem. Vol. 156 (1926), p.245.

[16] Y. Zhao, X. Bian, K. Yin, J. Zhou, J. Zhang and X. Hou: Physica B Vol. 349 (2004), p.327.

[17] L. Shadowspeaker and R. Busch: Appl. Phys. Lett. Vol. 85 (2004), p.2508.

[18] H. Tanaka: J. Non-Cryst. Solids Vol. 351 (2005), p.678.

[19] K. L. Ngai: J. Non-Cryst. Solids Vol. 275 (2000), p.7.