Geodesic
Three Regimes of Diffusion Migration of Hydrogen Atoms in Metals
Teoretičeskaâ i matematičeskaâ fizika, Tome 145 (2005) no. 2, pp. 256-271

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The classical diffusion theory cannot explain the temperature kink of the activation energy and the anomalous isotopic effect observed in the hydrogen atom migration in BCC metals. We present a theory based on the equations of quantum statistical mechanics that permits interpreting both these phenomena completely. We consider three possible mechanisms for an elementary act of hydrogen diffusion in metals: the over-barrier hopping, the thermally activated tunnel transition, and the tunneling due to decay of a local deformation near the hydrogen atom.
Keywords: quantum statistical mechanics, hydrogen atom, metal, atom jump, tunneling, activation energy.
Mots-clés : diffusion 
Yu. A. Kashlev. Three Regimes of Diffusion Migration of Hydrogen Atoms in Metals. Teoretičeskaâ i matematičeskaâ fizika, Tome 145 (2005) no. 2, pp. 256-271. http://geodesic.mathdoc.fr/item/TMF_2005_145_2_a9/
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[1] C. P. Flynn, A. M. Stoneham, Phys. Rev. B, 1:10 (1970), 3966 | DOI | MR

[2] A. M. Stoneham, Ber. Bunsenger. Phys. Chem., 76:8 (1972), 816

[3] A. M. Stoneham, J. Nucl. Mater., 69 (1978), 109 | DOI

[4] H. R. Schober, A. M. Stoneham, Hyperfine Interac., 31 (1986), 141 | DOI

[5] L. L. Dhawan, S. Prakash, Phys. Rev. B, 28:12 (1983), 7294 | DOI

[6] T. Holstein, Ann. Phys., 8:2 (1959), 325 | DOI | MR | Zbl

[7] K. Ker, “Teoriya diffuzii vodoroda v metallakh”, Vodorod v metallakh. T. 1. Osnovnye svoistva, eds. G. Alefeld, I. Felkl, Mir, M., 1981

[8] I. Prigogine, T. A. Bak, J. Chem. Phys., 31:5 (1959), 1368 | DOI | MR

[9] Yu. A. Kashlev, N. M. Sadykov, TMF, 116:3 (1998), 442 | DOI | Zbl

[10] A. S. Smirnov, Teoriya diffuzii v splavakh vnedreniya, Naukova dumka, Kiev, 1982

[11] J. Volkl, G. Alefeld, Hydrogen in Metals, I, Topics in Applied Phys., 28, Springer, Berlin–N.Y., 1978

[12] A. Landesman, J. Low Temperature Phys., 17:3 (1974), 365 | DOI

[13] D. Emin, M. I. Baskes, W. D. Wilson, Hyperfine Interac., 6 (1979), 255 | DOI

[14] V. Narayanamurti, R. O. Pohl, Rev. Mod. Phys., 42 (1970), 201 | DOI

[15] H. Wipf, A. Magerl, S. M. Shapiro, S. K. Satija, W. Thomlinson, Phys. Rev. Lett., 46:14 (1981), 947 | DOI

[16] Yu. A. Kashlev, Physica A, 129 (1984), 184 | DOI

[17] J. A. Sussman, Y. Weissmann, Phys. Stat. Sol. (b), 53:2 (1972), 419 | DOI

[18] Zh Qi, J. Volkl, H. Wipf, Scripta Met., 16 (1982), 859 | DOI

[19] P. Gosar, Nuovo Cimento, 31:10 (1964), 781 | DOI

[20] H. H. Johnson, Metallurgical Transactions B, 19 (1988), 691 | DOI

[21] A. M. Stoneham, J. Chem. Soc. Faradey Trans., 86:8 (1990), 1215 | DOI

[22] A. Kiamt, T. Teichler, Phys. Stat. Sol. (b), 134:1 (1986), 103 | DOI

[23] Yu. A. Kashlev, “Theory of incoherent hydrogen and deuterium diffusion in some nuclear materials”, Diffusion Processess in Nuclear Materials, ed. R. P. Agarwala, North Holland, Amsterdam, 1992, 271