Advertisement

Kinetics of the Orientational Long-Range Ordering of Interstitial Hydrogen Atoms in Metals Having Hexagonal-Close Packed Structure

Part of the NATO Science for Peace and Security Series C: Environmental Security book series (NAPSC)

Abstract

Using the Onsager-type kinetics equation, the differential equation for the kinetics of orientational long-range order (LRO) parameter for the interstitial H-atoms' distribution within the hexagonal close-packed (h.c.p.) lattice of a metal (Me) is firstly derived. The numerical solutions of this equation enable to analyze the orientational ordering of H atoms. The decreasing of H concentration results in a decelerating of the orientational-LRO parameter change and in an increasing of its relaxation time. Temperature influence on the orientational-ordering process is more appreciable for lower hydrogen concentrations because of the open-chain (two by two) distribution of H atoms in h.c.p. metals.

Keywords

orientational long-range order ordering kinetics Onsager-type equation 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Vajda P. Hydrogen in rare earth metals, including RH2x-phases. In: Gschneidner K.A., Jr., Eyring L., editors. Handbook on the Physics and Chemistry of Rare Earths. Amsterdam: Elsevier Science, 1995. Vol. 20, 207–292Google Scholar
  2. 2.
    Fukai Yuh. The metal-hydrogen system: Basic bulk properties. Berlin and Heidelberg: Springer-Verlag, 2003, 509 pGoogle Scholar
  3. 3.
    Khachaturyan A.G. Theory of Structural Transformations in Solids. New York: J. Wiley & Sons, 1983, 574 pGoogle Scholar
  4. 4.
    Chen L.Q., Khachaturyan A.G. Computer simulation of simultaneous ordering, decomposition and strain-induced coarsening. In: Chen H., Vasudevan V.K., editors. Kinetics of Ordering Transformations in Metals. Pittsburgh, PA: TMS, 1992, P. 197– 206Google Scholar
  5. 5.
    Chen L.Q, Khachaturyan AG. Kinetics of virtual phase formation during precipitation of ordered intermetallics. Phys. Rev. B, 1992, 46: 5899–5905CrossRefADSGoogle Scholar
  6. 6.
    Poduri R., Chen L.Q. Computer simulation of the kinetics of order-disorder and phase separation during precipitation of δ′(Al3Li) in Al–Li alloys. Acta Mater., 1997; 45: 245–255CrossRefGoogle Scholar
  7. 7.
    Poduri R., Chen L.Q. Computer simulation of atomic ordering and compositional clustering in the pseudobinary Ni3Al–Ni3V system. Acta Mater., 1988; 46: 1719–1729CrossRefGoogle Scholar
  8. 8.
    Wang Y., Banerjee D., Su C.C., Khachaturyan A.G. Field kinetic model and computer simulation of precipitation of L12 ordered intermetallics from f.c.c. solid solution. Acta Mater., 1998; 46: 2983–3001CrossRefGoogle Scholar
  9. 9.
    Rubin G., Khachaturyan A.G. Three-dimensional model of precipitation of ordered intermetallics. Acta Mater., 1999; 47: 1995–2002CrossRefGoogle Scholar
  10. 10.
    10. Bugaev V.N., Tatarenko V.A. Interaction and arrangement of atoms in interstitial solid solutions based on close-packed metals. Kiev: Naukova Dumka, 1989Google Scholar
  11. 11.
    11. Tatarenko V.A., Tsinman K.L. Strain-induced effects on interactions of non-metal atoms introduced in metals having h.c.p. structure. 2. Interstitial atoms on tetrahedral interstices. Met. Phys. Adv. Tech., 1999; 18(3): 273–311Google Scholar
  12. 12.
    12. Tatarenko V.A., Radchenko T.M., Molodkin V.B. 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. et al., editors. Hydrogen Materials Science and Chemistry of Carbon Nanomaterials: NATO Science Series, II: Mathematics, Physics and Chemistry. Dordrecht, The Netherlands: Kluwer. Vol. 172, 2004, P. 59–66CrossRefGoogle Scholar
  13. 13.
    13. Radchenko T.M., Tatarenko V.A. Comments Concerning Parameters of the Short-Range Order Evolution Determined from the Data on Kinetics of a Heat-Capacity Relaxation for Lu-H Alloy. In: Veziroglu T.N. et al. editors. Hydrogen Materials Science and Chemistry of Carbon Nanomaterials. Berlin: Springer, 2007, P. 229–234CrossRefGoogle Scholar
  14. 14.
    14. Radchenko T.M., Tatarenko V.A., Bokoch S.M. Diffusivities and kinetics of short-range and long-range orderings in Ni–Fe permalloys. Metallofiz Noveishie Tekhnol., 2006; 28(12): 1699–1720 (in Russian)Google Scholar

Copyright information

© Springer Science + Business Media B.V. 2008

Authors and Affiliations

  1. 1.Department of Solid State TheoryG. V. Kurdyumov Institute for Metal Physics, N.A.S. of UkraineKyyiv-142Ukraine

Personalised recommendations