Diffusion and tunnelling of hydrogen in vanadium, Niobium and Tantalum
โ Scribed by Ivar Svare
- Publisher
- Elsevier Science
- Year
- 1987
- Weight
- 781 KB
- Volume
- 145
- Category
- Article
- ISSN
- 0378-4363
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โฆ Synopsis
Literature data for diffusion, internal friction, inelastic neutron scattering and specific heat for hydrogen in V, Nb and Ta are correlated with simple models for tunnelling. Tunnelling motion can occur through interference of tunnel-split excited states, or through two-phonon transitions via virtual states. Energy asymmetry between neighbouring hydrogen sites will block the tunnelling motion, so then only classical hopping over the barrier is possible. Hence both rapid tunnelling and slow classical hopping can be observed for hydrogen bound to impurities. The only adjustable parameters in our model are the magnitude of the assumed sinusoidal potential, and the deformation potential for the coupling to the phonons. We neglect the hydrogen self-trapping in the calculations of the tunnelling rates, but it makes the fitted potential barriers for the isotopes D and T about 20% and 30% less than the barrier for H in the same metal.
๐ SIMILAR VOLUMES
VANADIUM, niobium, and tantalum are three transition elements with relatively large electronic specific heats; they are also supercondfictors. Interest in their low temperature expansion properties, therefore, lies in the fact that not only should useful information be obtained about their lattice d