Sample-shape dependence of the spinodals and the diffusion coefficients for hydrogen in niobium and tantalum

Tretkowski, J.; Völkl, J.; Alefeld, G.

doi:10.1007/bf01317251

Cited by 25 publications

(3 citation statements)

References 13 publications

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“…The interactions reduce the energy but create no force. In the coherent state, the phase diagram for liquid-gas transitions of hydrogen in a metal depends on the shape of the metal [36].…”

Section: Discussionmentioning

confidence: 99%

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Thermodynamic Limit for Dipolar Media

Banerjee

Griffiths

Widom

1998

Journal of Statistical Physics

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We prove existence of a shape and boundary condition independent thermodynamic limit for fluids and solids of identical particles with electric or magnetic dipole moments. Our result applies to fluids of hard core particles, to dipolar soft spheres and Stockmayer fluids, to disordered solid composites, and to regular crystal lattices. In addition to their permanent dipole moments, particles may further polarize each other. Classical and quantum models are treated. Shape independence depends on the reduction in free energy accomplished by domain formation, so our proof applies only in the case of zero applied field. Existence of a thermodynamic limit implies texture formation in spontaneously magnetized liquids and disordered solids analogous to domain formation in crystalline solids.Comment: 19 pages, 2 figures, published in J. Stat. Phys. vol 93 p109 (1998

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“…The interactions reduce the energy but create no force. In the coherent state, the phase diagram for liquid-gas transitions of hydrogen in a metal depends on the shape of the metal [36].…”

Section: Discussionmentioning

confidence: 99%

“…The Hamiltonian in (45) is special case of our model (36). The Stockmayer fluid [19] is the case with n = 12, m = 6, and hence will also have a shape independent thermodynamic limit.…”

Section: Consider a System Of Particles Interacting With Hamiltonianmentioning

confidence: 99%

Thermodynamic Limit for Dipolar Media

Banerjee

Griffiths

Widom

1998

Journal of Statistical Physics

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“…The dependence of the thermodynamic factor on the derivative of the chemical potential implies that it goes to zero at a second order phase transition with the result of a critical slowing down of the chemical diffusion. Spectacular manifestations of this have been seen in the case of NbH c where the critical slowing down is even known to be sample shape dependent [17]. This is due to the presence of macroscopic density modes that depend sensitively on the shape of the sample, each with its own distinct critical temperature and cause the thermodynamic factor to go to zero.…”

Section: Analysis and Correctionsmentioning

confidence: 99%

Concentration dependence of hydrogen diffusion in clamped vanadium (0 0 1) films

Huang

Mooij

Droulias

et al. 2016

J. Phys.: Condens. Matter

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The chemical diffusion coefficient of hydrogen in a 50 nm thin film of vanadium (0 0 1) is measured as a function of concentration and temperature, well above the known phase boundaries. Arrhenius analysis of the tracer diffusion constants reveal large changes in the activation energy with concentration: from 0.10 at 0.05 in H V to 0.5 eV at 0.2 in H V. The results are consistent with a change from tetrahedral to octahedral site occupancy, in that concentration range. The change in site occupancy is argued to be caused by the uniaxial expansion of the film originating from the combined hydrogen induced expansion and the clamping of the film to the substrate.

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Wasserstoff in Metallen

Peisl¹

1981

Phys. Bl.

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Sample-shape dependence of the spinodals and the diffusion coefficients for hydrogen in niobium and tantalum

Cited by 25 publications

References 13 publications

Thermodynamic Limit for Dipolar Media

Thermodynamic Limit for Dipolar Media

Concentration dependence of hydrogen diffusion in clamped vanadium (0 0 1) films

Wasserstoff in Metallen

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