Home A new theoretical equation for temperature dependent self-diffusion coefficients of pure liquid metals
Article
Licensed
Unlicensed Requires Authentication

A new theoretical equation for temperature dependent self-diffusion coefficients of pure liquid metals

  • George Kaptay
Published/Copyright: June 11, 2013
Become an author with De Gruyter Brill

Abstract

A unified equation on the viscosity of pure liquid metals (published recently by the author) is combined with the well-known Sutherland – Einstein equation to obtain a new equation for the temperature dependence of the self-diffusion coefficients of pure liquid metals. The equation does not contain new adjustable parameters. It reproduces perfectly the experimental values, measured under micro-gravity conditions for liquid Sn, Pb, In and Sb. The experimental data, obtained under normal gravity conditions appear to be equal or somewhat higher than those calculated from the present model. This is explained by the effect of gravity induced convection in the liquid.


* Correspondence address, Professor Dr. George Kaptay, BAY-NANO Institute for Nanotechnology, of the Bay Zoltan Foundation of Applied Research, Department of Nanotechnology, University of Miskolc, Egyetemvaros, Miskolc, 3515, Hungary, Tel.: +36 30 415 0002, Fax: +36 46 362 916, E-mail:

References

[1] E.T.Turkdogan: Physical Chemistry of High Temperature Technology, Academic Press, New York (1980).Search in Google Scholar

[2] M.Shimoji, T.Itami: Atomic Transport in Liquid Metals – Trans. Tech. Publ., Switzerland (1986).Search in Google Scholar

[3] T.Iida, R.I.L.Guthrie: The Physical Properties of Liquid Metals, Clarendon Press, Oxford (1993).Search in Google Scholar

[4] D.R.Poirier, G.H.Geiger: Transport Phenomena in Materials Processing, TMS, Warrendale, USA (1994).Search in Google Scholar

[5] B.J.Alder, T.E.Wainwright: Phys. Rev. Lett.18 (1967) 988.10.1103/PhysRevLett.18.988Search in Google Scholar

[6] S.J.Larsson, C.Roxbergh, A.Lodding: Phys. Chem. Liquids3 (1972) 137.10.1080/00319107208084094Search in Google Scholar

[7] R.P.Chhabra, T.Sridhar: Phys. Chem. Liq.13 (1983) 37.10.1080/00319108308080761Search in Google Scholar

[8] R.P.Chhabra: Z. Metallk.82 (1991) 121.10.1515/ijmr-1991-820207Search in Google Scholar

[9] G.Mathiak, A.Griesche, K.H.Kraatz, G.Frohberg: J. Non-Cryst. Solids205–207 (1996) 412.10.1016/S0022-3093(96)00253-0Search in Google Scholar

[10] G.Frohberg: Defect and Diffusion Forum143–147 (1997) 869.10.4028/www.scientific.net/DDF.143-147.869Search in Google Scholar

[11] G.P.Tiwari: Scripta Mater.39 (1998) 931.10.1016/S1359-6462(98)00247-4Search in Google Scholar

[12] A.S.Chauhan, R.Ravi, R.P.Chhabra: Chem. Phys.252 (2000) 227.10.1016/S0301-0104(99)00345-6Search in Google Scholar

[13] I.Yokoyama: Physica B291 (2000) 145.10.1016/S0921-4526(99)01871-2Search in Google Scholar

[14] C.Jayaram, R.Ravi, R.P.Chhabra: Chem. Phys. Letters341 (2001) 179.10.1016/S0009-2614(01)00427-4Search in Google Scholar

[15] E.T.Turkdogan: Can. Metall. Quart.41 (2002) 441.10.1179/000844302794521173Search in Google Scholar

[16] E.T.Turkdogan: Can. Metall. Quart.42 (2003) 71.10.1179/000844303794535708Search in Google Scholar

[17] J.R.Cahoon: Metall. Mater. Trans. A34 (2003) 882.10.1007/s11661-003-0122-0Search in Google Scholar

[18] W.Sutherland: Phil.Mag.9 (1905) 781.10.1080/14786440509463331Search in Google Scholar

[19] G.Kaptay: Z. Metallkd.96 (2005) 24.10.3139/146.018080Search in Google Scholar

[20] Y.Waseda: The structure of non-crystalline materials: liquids and amorphous solids, McGraw-Hill, New York (1980).Search in Google Scholar

[21] Y.Malmejac, G.Frohberg, in: Fluid and Materials Science in Space, Springer, Berlin (1987) 159.10.1007/978-3-642-46613-7_5Search in Google Scholar

[22] G.Frohberg, K.H.Kraatz, H.Wever, A.Lodding, H.Odelius: Defect Diff. Forum66–69 (1989) 295.Search in Google Scholar

[23] G.Frohberg, in: Scientific Results of the German Spacelab Mission D2 (WPF D-2), Cologne (1995) 275 and 288.Search in Google Scholar

[24] J.Henderson, L.Yang: Trans. Met. Soc. AIME221 (1961) 72.Search in Google Scholar

[25] V.G.Leak, R.A.Swalin: Trans. Met. Soc. AIME230 (1964) 426.Search in Google Scholar

[26] J.Petit, N.H.Nahtrieb: J. Chem. Phys.24 (1956) 1027.10.1063/1.1742671Search in Google Scholar

[27] G.Careri, A.Paoletti, M.Vicentini: Nuovo Cimento10 (1958) 1088.10.1007/BF02859571Search in Google Scholar

[28] R.E.Barras, H.A.Walls, A.L.Hines: Metall. Trans. B6 (1975) 347.10.1007/BF02913582Search in Google Scholar

[29] N.H.Nachtrieb, E.Fraga, C.Wahl: J. Phys. Chem.67 (1963) 2353.10.1021/j100805a022Search in Google Scholar

[30] R.E.Meyer: J. Phys. Chem.65 (1961) 567.10.1021/j100821a507Search in Google Scholar

[31] S.J.Rothman, L.D.Hall: Trans. AIME206 (1956) 199.Search in Google Scholar

Received: 2006-12-13
Accepted: 2007-8-21
Published Online: 2013-06-11
Published in Print: 2008-01-01

© 2008, Carl Hanser Verlag, München

Articles in the same Issue

  1. Contents
  2. Contents
  3. Editorial
  4. Prof. Dr.-Ing. habil. Dr.-Ing. E. h. Werner Schatt zum 85. Geburtstag
  5. Basic
  6. In-situ reaction synthesis and decomposition of Ta2AlC
  7. A new theoretical equation for temperature dependent self-diffusion coefficients of pure liquid metals
  8. Thermodynamic characterization of liquid alloys with demixing tendency: Bi–Ga
  9. Space charge effects in confined ceramic systems
  10. Solute transport and phase composition in an Al–Mg–Si alloy solidified under conditions of forced flow
  11. Evidence of α → ω phase transition in titanium after high pressure torsion
  12. Thermodynamic properties and elastic constants of Nd–Mg intermetallics: a molecular dynamics study
  13. Microstructure, texture and mechanical properties of the magnesium alloy AZ31 processed by ECAP
  14. Applied
  15. Effect of solidification microstructure and Ca additions on creep strength of magnesium alloy AZ91 processed by Thixomolding
  16. Magnetic hardening mechanism of PrCo5-based ribbons with C addition prepared by melt spinning
  17. Studies on the exchange and dipolar couplings in Nd2Fe14B/α-Fe
  18. Microstructural characteristics and elevated temperature wear of Ti-11Si-16Al alloy
  19. Nickel coating on some organic and carbon fibres by chemical plating
  20. Wear and corrosion properties of nanocrystalline coatings on stainless steel produced by plasma electrolytic nitrocarburizing
  21. The characterisation of microstructural changes in rapidly solidified Al–Fe alloys through measurement of their electrical resistance
  22. Solid inclusion cakes formed during pressure filtration tests of liquid aluminum alloys
  23. Performance of Ni/YSZ cermet cathode prepared by mechanical alloying for high temperature electrolysis of water vapor (steam): effect of anode and cathode thicknesses on the efficiency of hydrogen production
  24. Review
  25. Practical aspects and implications of interfaces in glass-ceramics: a review
  26. Notifications
  27. DGM News
Downloaded on 30.9.2025 from https://www.degruyterbrill.com/document/doi/10.3139/146.101600/html?lang=en
Scroll to top button