Vacancy Formation Energy of Metals

Article Preview

Abstract:

In this work, we investigated and discussed the experimental and theoretical data of the vacancy formation energy Ev. The results of calculations in the continuum model of the solids and the model of interaction between a pair of neutral atoms, as well as the results of ab initio methods using various exchange – correlation functionals, are analyzed. It was found that the experimental and theoretical values of the vacancy formation energy have an adjusted coefficient of determination R2 close to 0.80. The relationship between the calculated vacancy formation energy and the sublimation enthalpy most closely corresponds to the relation Ev = ΔHs/3 for the results obtained on the basis of continuum model and model of interaction between a pair of atoms. The vacancy formation energy most closely correlates with the melting enthalpy ΔHm. The adjusting coefficient of determination R2 of this relation is 0.87 in comparison with 0.71 and 0.84 for the sublimation enthalpy and the evaporation enthalpy, respectively.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

46-51

Citation:

Online since:

September 2020

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2020 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

* - Corresponding Author

[1] M. Doyama and J.S. Koehler: Acta Metall. Vol. 24 (1976), p.871.

Google Scholar

[2] H. Mehrer: Diffusion in solids. Fundamentals, methods, materials, diffusion-controlled processes (Springer-Verlag, Berlin, 2007).

Google Scholar

[3] S. Glasstone, K.J. Laidler and H. Eyring: The theory of rate processes. The kinetics of chemical reactions, viscosity, diffusion and electrochemical phenomena (McGraw–Hill Book Comp., New York, 1941).

Google Scholar

[4] J.S. Rowlinson and C.F. Curtiss: J. Chem. Phys. Vol. 19 (1951), p.1519.

Google Scholar

[5] J. Friedel: Dislocations (Pergamon Press, Oxford, 1964).

Google Scholar

[6] H.J. Wollenberger, in: Physical metallurgy, edited by R.W. Cahn and P. Haasen/ Elsevier Science BV, Amsterdam, 1996, p.1621.

Google Scholar

[7] V.V. Ogorodnikov, A.N., Rakitskii and Yu.I. Rogovoi: Sov. Powder Metall. Met. Ceram. Vol. 27 (1988) p.55.

DOI: 10.1007/bf00799739

Google Scholar

[8] P.A. Korzhavyi, I.A. Abrikosov and B. Johansson: Phys. Rev. B Vol 59 (1999), p.11693.

Google Scholar

[9] R. Nazarov, T. Hickel and J. Neugebauer: Phys. Rev. B Vol 85 (2012), 144118.

Google Scholar

[10] T. Angsten, T. Mayeshiba, H. Wu and D. Morgan: New J. Phys. Vol. 16 (2014) 015018.

Google Scholar

[11] B. Medasani, M. Haranczyk, A. Canning and M. Asta: Comp. Mater. Sci. Vol. 101 (2015) p.96.

Google Scholar

[12] S.-L. Shang, B.-C. Zhou, W.Y. Wang, A.J. Ross, X.L. Liu, Y.J. Hu, H.Z. Fang, Y. Wang and Z.K. Liu: Acta Mater. Vol. 109 (2016), p.128.

Google Scholar

[13] D. Garvin: Bull. Alloy Phase Diagrams Vol. 2 (1981) p.261.

Google Scholar

[14] T. Iida and R.I.L. Guthrie: The thermophysical properties of metallic liquids (University Press, Oxford, 2015).

Google Scholar

[15] T. Gorecki: Z. Metallkunde Vol. 65 (1974), p.426.

Google Scholar