Microscopic Characteristics of H Diffusion and Diffuse Scattering of Radiations in H.C.P.-Ln-H (from the Data on Electrical-Resistivity Relaxation)

  • Conference paper
Hydrogen Materials Science and Chemistry of Carbon Nanomaterials

Abstract

The further theoretical study of the short-range order kinetics of H-atoms at tetrahedral interstices in h.c.p. lanthanoids (Ln), for instance, lutetium (Lu), is developed. It is studied by the use of available data of measurements of residual electrical resistivity for interstitial solid solutions h.c.p.-Lu-H during the isothermal annealing. Within the framework of two models (with one and two relaxation times), the relaxation times of this process in some α-Lu−H solid solutions at temperatures 160–180 K are evaluated on a base of the available experimental results. Within the framework of the hypothesis about an identity of maximum characteristic relaxation times of diffuse radiation scattering and relaxation times of electrical resistivity, the time evolution of normalized change of radiation diffuse-scattering intensity is predicted and corresponds to the wave-vector star, which dominates in map** a structure of the short-range order (at different quenching and annealing temperatures) for polycrystalline LuH0,180 and LuH0,254 solid solutions. The pre-exponential factor in the Arrhenius-type law for the relaxation time and energy of migration activation for H atoms in these solid solutions are obtained.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 259.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 329.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free ship** worldwide - see info
Hardcover Book
USD 329.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free ship** worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  1. Vajda, P. (1995) Hydrogen in rare earth metals, including RH2x-phases, in K.A. Gschneidner, Jr. and L. Eyring (eds.), Handbook on the Physics and Chemistry of Rare Earths 20, Elsevier Science, Amsterdam, ch. 137, pp. 207–292.

    Google Scholar 

  2. Fukai, Yuh. (1993) The Metal-Hydrogen System: Basic Bulk Properties, in Springer Series in Materials Science 21, Springer-Verlag, Berlin-Heidelberg-New York.

    Google Scholar 

  3. Tatarenko, V.A. and Radchenko, T.M. (2002) Direct and indirect methods of the analysis of interatomic interaction and kinetics of a short-range order relaxation in substitutional (interstitial) solid solutions, Uspehi Fiziki Metallov 3, 111–236 (in Ukrainian).

    Google Scholar 

  4. Tatarenko, V.A., Radchenko, T.M. (2002) Kinetics of the hydrogen-isotopes short-range order in interstitial solid solutions h.c.p.-Ln-H(D,T), in N. Veziroglu et al. (eds.), Hydrogen Materials Science and Chemistry of Metal Hydrides: NATO Science Series, Series II: Mathematics, Physics and Chemistry 82, Kluwer Academic Publishers, Dordrecht, pp. 123–132.

    Google Scholar 

  5. Cook, H.E. (1969) The kinetics of clustering and short-range order in stable solid solutions, J. Phys. Chem. Solids 30, 2427–2437.

    Article  CAS  Google Scholar 

  6. Chen, H. and Cohen, J.B. (1977) J. Physique C7, 314.

    Google Scholar 

  7. Bley, F., Amilius, Z., and Lefebvre, S. (1988) Wave vector dependent kinetics of short-range ordering in 62Ni0.765Fe0.235, studied by neutron diffuse scattering, Acta. metall. 36, 1643–1652.

    Article  CAS  Google Scholar 

  8. Bonnet, J.E., Ross, D.K., Faux, D.A., and Anderson, I.S. (1987) Long-range and short-range ordering of hydrogen or deuterium atoms in solid solution in yttrium, J. Less-Common Metals 129, 287–295.

    Article  CAS  Google Scholar 

  9. Metzger, T.H., Vajda, P., and Daou, J.N. (1985) Debye temperature and static displacements in LuHx single crystals from energy dispersive x-ray diffraction, Z. Phys. Chem. Neue Folge 143, 129–138.

    CAS  Google Scholar 

  10. Blaschko, O., Krexner, G., Pleschiutschnig, J., Ernst, G., Daou, J.N., and Vajda, P. (1989) Hydrogen ordering in α-LuDx investigated by diffuse neutron scattering, Phys. Rev. B 39, 5605–5610.

    Article  CAS  ADS  Google Scholar 

  11. Blaschko, O., Krexner, G., Daou, J.N., and Vajda, P. (1985) Experimental evidence of ordering of deuterium in □-LuDx, Phys. Rev. Letters 55, 2876–2878.

    Article  CAS  ADS  Google Scholar 

  12. Pleschiutschnig, J., Schwarz, W., Blaschko, O., Vajda, P., and Daou, J.N. (1991) Hydrogen ordering and local mode in □-LuDx at low concentrations, Phys. Rev. B 43, 5139–5142.

    Article  CAS  ADS  Google Scholar 

  13. Blaschko, O. (1991) Hydrogen ordering in metal-hydrogen systems, J. Less-Common Metals 172–174, 237–245.

    Article  Google Scholar 

  14. Dahmani, C.E., Cadeville, M.C., and Pierron-Bohnes, V. (1985) Temperature dependences of atomic order relaxations in Ni−Pt and Co−Pt alloys, Acta metall. 33, 369–377.

    Article  CAS  Google Scholar 

  15. Afyouni, M., Pierron-Bohnes, V., and Cadeville, M.C. (1989) SRO relaxation in dilute NiAl solid solution through 4 K resistometry, Acta metall. 37, 2339–2347.

    Article  CAS  Google Scholar 

  16. Sitaud, B. and Dimitrov, O. (1990) Equilibrium and kinetics of local ordering in Ni(Al) solid solutions, J. Phys: Condens. Matte 2, 7061–7075.

    Article  CAS  ADS  Google Scholar 

  17. Kidin, I.I. and Shtremeľ, M.A. (1961) Kinetics of changes of the short-range order in binary alloys, Fiz. Met. Metalloved. 11, 641–649 (in Russian).

    CAS  Google Scholar 

  18. Shtremeľ, M.A. and Satdarova, F.F. (1969) The short-range order in alloys with a body centred cubic lattice (equilibrium and kinetics), Fiz. Met. Metalloved. 27, 396–407 (in Russian).

    Google Scholar 

  19. Püschl, W. and Aubauer, H.P. (1980) The kinetics of stable heterogeneous binary systems, Phys. Status Solidi b 102, 447–457.

    Article  Google Scholar 

  20. Bessenay, G. (1986) Doctoral dissertation, Univ. of Paris VI.

    Google Scholar 

  21. Khachaturyan, A.G. (1983) Theory of structural transformations in solids, Wiley, New York.

    Google Scholar 

  22. Jung, P. and Lässer, R. (1992) Short-range ordering of hydrogen isotopes in lutetium, J. Alloys & Compounds 190, 25–29.

    Article  CAS  Google Scholar 

  23. Völkl, J., Wipf, H., Beaudry, B.J., and Gschneidner, K.A., Jr. (1987) Diffusion of H and D in lutetium, Phys. Status Solidi b 144, 315–327.

    Article  Google Scholar 

  24. Yamakawa, K. and Maeta, H. (1997) Diffusion of hydrogen in Lu at low temperatures, in Defect and Diffusion Forum 143–147, pp. 933–938.

    Article  Google Scholar 

  25. Barrère, H. and Tran, K.M. (1971) C.R. Acad. Sci. Paris 273B, 823.

    Google Scholar 

  26. Daou, J.N., Vajda, P., Lucasson, A., Lucasson, P., and Burger, J.P. (1986) Low-temperature defect study of □-LuH(D)x solid solutions, Phil. Mag. A 53, 611–625.

    Article  CAS  Google Scholar 

  27. Vajda, P., Daou, J.N., Burger, J.P., Kai, K., Gschneidner, K.A., and Beaudry, B.J. (1986) Investigation of the anisotropic deuterium ordering in α-LuD single crystals by resistivity and heat-capacity measurements, Phys. Rev. B 34, 5154–5159.

    Article  CAS  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2004 Kluwer Academic Publishers

About this paper

Cite this paper

Tatarenko, V.A., Radchenko, T.M., Molodkin, V.B. (2004). Microscopic Characteristics of H Diffusion and Diffuse Scattering of Radiations in H.C.P.-Ln-H (from the Data on Electrical-Resistivity Relaxation). In: Veziroglu, T.N., Yu. Zaginaichenko, S., Schur, D.V., Baranowski, B., Shpak, A.P., Skorokhod, V.V. (eds) Hydrogen Materials Science and Chemistry of Carbon Nanomaterials. NATO Science Series II: Mathematics, Physics and Chemistry, vol 172. Springer, Dordrecht. https://doi.org/10.1007/1-4020-2669-2_5

Download citation

Publish with us

Policies and ethics

Navigation