Abstract
The force-dipole tensorP αβ, also known as the “elastic dipole” and the “double-force” tensor, is calculated for hydrogen dissolved in palladium and platinum, using a microscopic model for the interaction potentials; the so-called effective medium theory. The force-dipole tensor describes the long range displacement field induced by hydrogen dissolved in the host metal lattice in the dilute limit. It can be related to the mean elastic hydrogen-hydrogen interaction energy and the critical temperatureT c for the “gas-liquid” phase transition observed in systems such as PdH x and NbH x . Comparison show a fair agreement between theoretical and experimental values for the force-dipole tensor.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Hydrogen in metals, I–II. In: Topics in Applied Physics. Alefeld, G., Völkl, J. (eds.), Vols 28–29. Berlin, Heidelberg, New York: Springer 1978
Wiswall, R.: Hydrogen in metals II. In: Topics in Applied Physics. Alefeld, G., Völkl, J. (eds.), Vol. 29. Berlin, Heidelberg, New York: Springer 1978
Povel, R., Feucht, W.G., Withalm, G.: Interdiscip. Sci. Rev.14, 365 (1989)
Wagner, H.: Hydrogen in metals II. In: Topics in Applied Physics. Alefeld, G., Völkl, J. (eds.), Vol. 29. Berlin, Heidelberg, New York: Springer 1978
Horner, H., Wagner, H.: J. Phys. C7, 3305 (1974)
Wagner, H., Horner, H.: Adv. Phys.23, 587 (1974)
Feenstra, R., Bruin-Hordjik, G.J. de, Bakker, H.L.M. Griessen, R., Groot, D.G. de: J. Phys. F13, L13-L18 (1983)
Mällo, A.: J. Less-Common Met. (submitted for publication)
Bausch, R., Horner, H., Wagner, H.: J. Phys. C8, 2559 (1975)
Janssen, H.K.: Z. Phys. B-Condensed Matter and Quanta23, 245 (1976)
Goldberg, H.A.: J. Phys. C10, 2059 (1977)
Leibfried, G., Breuer, N. (eds.): Point defects in metals I. Introduction to the theory. In: Springer Tracts in Modern Physics. Höhler, G. (ed.), Vol. 81. Berlin, Heidelberg, New York: Springer 1978
Kanzaki, H.: J. Phys. Chem. Solids2, 24 (1957)
Peisl, H.: Hydrogen in metals I. In: Topics in Applied Physics. Alefeld, G., Völkl, J. (eds.), Vol. 28. Berlin, Heidelberg, New York: Springer 1978
Nørskov, J.K., Lang, N.D.: Phys. Rev. B21, 2131 (1980)
Jacobsen, K.W., Nørskov, J.K., Puska, M.J.: Phys. Rev. B35, 7423 (1987)
Nørskov, J.K.: J. Chem. Phys.90, 7461 (1989)
Jones, R.O., Gunnarsson, O.: Rev. Mod. Phys.61, 689 (1989)
Nordlander, P., Holloway, S., Nørskov, J.K.: Surf. Sci.136, 59 (1984)
Stoltze, P., Jacobsen, K.W., Nørskov, J.K.: Phys. Rev. B.36, 5035 (1987)
Jacobsen, K.W.: Comm. Condens. Matter Phys.14, 129 (1988)
Christensen, O.B., Stoltze, P., Jacobsen, K.W., Nørskov, J.K.: Phys. Rev. B41, 12413 (1990)
Simmons, G., Wang, H. (eds.): Single crystal elastic constants and calculated aggregate properties: a handbook. Cambridge, Massachusetts: MIT Press 1971
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Mällo, A., Yxklinten, U. Calculation of the force-dipole tensor for hydrogen in palladium and platinum. Z. Physik B - Condensed Matter 83, 213–216 (1991). https://doi.org/10.1007/BF01309420
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01309420