Hydrogen in Metallic Alloys as an Example of a Lattice Gas with Random Field and Random Bonds

W. Fenzl; J. Peisl

doi:10.1103/PhysRevLett.54.2064

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Hydrogen in Metallic Alloys as an Example of a Lattice Gas with Random Field and Random Bonds

W. Fenzl and J. Peisl

Sektion Physik der Ludwig-Maximilians-Universität, D-8000 München 22, Federal Republic of Germany

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Phys. Rev. Lett. 54, 2064 – Published 13 May, 1985

DOI: https://doi.org/10.1103/PhysRevLett.54.2064

Abstract

We present evidence that hydrogen dissolved in metallic alloys can be considered as a realization of a lattice gas with a random internal field and random bonds. The predictions of this model are in good agreement with experimental phase diagrams and results of diffuse x-ray scattering from microscopic density fluctuations of hydrogen in ${Nb}_{1 - x} {Mo}_{x}$ alloys.

References (22)

Hydrogen in Metals I and II, Topics in Applied Physics, Vols. 28 and 29, edited by G. Alefeld and J. Völkl (Springer-Verlag, Berlin, 1978)
G. Alefeld, Phys. Status Solidi 32, 67 (1969)
H. Wagner and H. Horner, Adv. Phys. 23, 587 (1974)
H. Zabel and J. Peisl, Phys. Rev. Lett. 42, 511 (1979)
K. H. Fischer, Phys. Status Solidi (b) 116, 357 (1983)
Ch. Wert, in Hydrogen in Metals II, [1]
G. Leibfried and N. Breuer, in Point Defects in Metals I, Springer Tracts in Modern Physics, Vol. 81 (Springer-Verlag, Berlin, 1978)
D. Ablitzer and A. Vignes, J. Nucl. Mater. 69&70, 97 (1978)
D. G. Westlake, in Metal Hydrides, edited by G. Bambakidis (Plenum, New York, 1981)
H. Zabel and J. Peisl, J. Phys. F 9, 1461 (1979)
W. C. Hubell and F. R. Brotzen, J. Appl. Phys. 43, 3306 (1972) P. Bujard, R. Sanjines, E. Walker, J. Ashkenazi, and M. Peter, J. Phys. F 11, 775 (1981)
B. M. Powell, P. Martel, and A. D. B. Woods, Phys. Rev. 171, 727 (1968)
W. L. McMillan, Phys. Rev. 167, 331 (1968)
T. Schober and A. Carl, J. Less-Common Met. 63, 53 (1979)
W. Fenzl, thesis, Universität München, 1983 (unpublished)
C. K. Hall, A. I. Shirley, and P. S. Sahni, Phys. Rev. Lett. 53, 1236 (1984)
W. Münzing, N. Stump, and G. Goeltz, J. Appl. Crystallogr. 11, 588 (1978)
M. A. Krivoglaz, Theory of X-Ray and Thermal Neutron Scattering by Real Crystals (Plenum, New York, 1969)
R. Bausch, H. Horner, and H. Wagner, J. Phys. C 8, 2559 (1975)
F. Burkel, W. Fenzl, and J. Peisl, to be published
Y. Shapir and A. Aharony, J. Phys. C 15, 1361 (1982)
T. Schneider and E. Pytte, Phys. Rev. 15, 1519 (1977)

[c1] Hydrogen in Metals I and II, Topics in Applied Physics, Vols. 28 and 29, edited by G. Alefeld and J. Völkl (Springer-Verlag, Berlin, 1978)

[c2] G. Alefeld, Phys. Status Solidi 32, 67 (1969)

[c3] H. Wagner and H. Horner, Adv. Phys. 23, 587 (1974)

[c4] H. Zabel and J. Peisl, Phys. Rev. Lett. 42, 511 (1979)

[c5] K. H. Fischer, Phys. Status Solidi (b) 116, 357 (1983)

[c6] Ch. Wert, in Hydrogen in Metals II, [1]

[c7] G. Leibfried and N. Breuer, in Point Defects in Metals I, Springer Tracts in Modern Physics, Vol. 81 (Springer-Verlag, Berlin, 1978)

[c8] D. Ablitzer and A. Vignes, J. Nucl. Mater. 69&70, 97 (1978)

[c9] D. G. Westlake, in Metal Hydrides, edited by G. Bambakidis (Plenum, New York, 1981)

[c10] H. Zabel and J. Peisl, J. Phys. F 9, 1461 (1979)

[c11] W. C. Hubell and F. R. Brotzen, J. Appl. Phys. 43, 3306 (1972) P. Bujard, R. Sanjines, E. Walker, J. Ashkenazi, and M. Peter, J. Phys. F 11, 775 (1981)

[c12] B. M. Powell, P. Martel, and A. D. B. Woods, Phys. Rev. 171, 727 (1968)

[c13] W. L. McMillan, Phys. Rev. 167, 331 (1968)

[c14] T. Schober and A. Carl, J. Less-Common Met. 63, 53 (1979)

[c15] W. Fenzl, thesis, Universität München, 1983 (unpublished)

[c16] C. K. Hall, A. I. Shirley, and P. S. Sahni, Phys. Rev. Lett. 53, 1236 (1984)

[c17] W. Münzing, N. Stump, and G. Goeltz, J. Appl. Crystallogr. 11, 588 (1978)

[c18] M. A. Krivoglaz, Theory of X-Ray and Thermal Neutron Scattering by Real Crystals (Plenum, New York, 1969)

[c19] R. Bausch, H. Horner, and H. Wagner, J. Phys. C 8, 2559 (1975)

[c20] F. Burkel, W. Fenzl, and J. Peisl, to be published

[c21] Y. Shapir and A. Aharony, J. Phys. C 15, 1361 (1982)

[c22] T. Schneider and E. Pytte, Phys. Rev. 15, 1519 (1977)

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Hydrogen in Metallic Alloys as an Example of a Lattice Gas with Random Field and Random Bonds

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