Zur Anwendung des Peierlsschen Modells auf schwach gekrümmte Versetzungen

Schottky, G.

doi:10.1002/pssb.19640050324

Cited by 39 publications

(13 citation statements)

References 14 publications

(1 reference statement)

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“…How much can we trust our calculation of this remarkably small barrier? Schottky [18] estimates using a simple line tension model that the barrier would be ϳ3 3 10 25 eV in fcc materials, using a Peierls stress s P 10 22 m and a kink width w 10b. This value is a factor of 200 higher than the barrier we find.…”

Section: (Received 9 March 2000)mentioning

confidence: 99%

Calculation of Quantum Tunneling for a Spatially Extended Defect: The Dislocation Kink in Copper Has a Low Effective Mass

et al. 2001

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Several experiments indicate that there are atomic tunneling defects in plastically deformed metals. How this is possible has not been clear, given the large mass of the metal atoms. Using a classical molecular-dynamics calculation, we determine the structures, energy barriers, effective masses, and quantum tunneling rates for dislocation kinks and jogs in copper screw dislocations. We find that jogs are unlikely to tunnel, but the kinks should have large quantum fluctuations. The kink motion involves hundreds of atoms each shifting a tiny amount, leading to a small effective mass and tunneling barrier.

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Section: (Received 9 March 2000)mentioning

confidence: 99%

Calculation of Quantum Tunneling for a Spatially Extended Defect: The Dislocation Kink in Copper Has a Low Effective Mass

et al. 2001

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“…In the classical models for dislocation kinks [1,[8][9][10]12,30], a dislocation is approximated by almost straight line segments lying in the Peierls valleys and connected by kinks (the string approximation). Besides the limitations of the classical Peierls-Nabarro model for straight dislocations, further simplifications are needed in these string approximation models for kinked dislocations.…”

Section: Introductionmentioning

confidence: 99%

A generalized Peierls–Nabarro model for kinked dislocations

Xiang

2009

Philosophical Magazine

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We present a generalized Peierls-Nabarro model for curved dislocations incorporating directly the Peierls energies for both straight dislocations and dislocation kinks. In our model, the anisotropic elastic energy is calculated efficiently using the discrete Fourier transform on the discrete lattice sites of the slip plane, and the discreteness in both the elastic energy and the misfit energy is included. We have used our model to calculate the kink migration and nucleation energies of the 30 dislocations in silicon. The results agree well with those obtained using atomistic potentials and first principles calculations, and the experimental results.

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“…(23) if the Peierls stress t P is replaced by the kink Peierls stress t K and the dislocation mass m per unit length by the respective kink mass. The kink Peierls stress t K is given by Schottky [59] as The kink mass is given by Hikata and Elbaum [46] as…”

Section: The Interaction Of Phonons With Mobile Kinks In Dislocationsmentioning

confidence: 99%

Low-Temperature Acoustic and Thermal Properties of Plastically Deformed, High-Purity Polycrystalline Aluminum

Wasserbäch¹,

Abens

Sahling

et al. 2001

phys. stat. sol. (b)

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The low-temperature internal friction Q --1 , thermal conductivity j, specific heat c p and heat release of plastically deformed, high-purity aluminum polycrystals have been investigated and have been compared with measurements on an amorphous SiO 2 specimen. Plastic deformation has a pronounced effect on both internal friction Q --1 and thermal conductivity j in the superconducting state. The magnitude of the internal friction Q --1 can be increased over two orders by plastic deformation over that observed on an annealed sample, and approaches a value approximately equal to that of the amorphous SiO 2 specimen. The lattice thermal conductivity j of the deformed specimens also has a magnitude which is of the same order as that of amorphous SiO 2 , it is, however, nearly independent of the amount of deformation. No "glass-like" anomalies could be observed in the specific heat c p and heat release measurements. The specific heat c p approaches a T 3 -relationship at the lowest temperatures investigated, and heat release experiments clearly show no longtime energy relaxation effects. Thus, it must be concluded that the defects introduced into deformed aluminum cannot be described with the tunneling model which had been proposed to describe the low temperature elastic and thermal properties of amorphous solids and which is based on the assumption of a constant spectral density of tunneling states. The phonon scattering mechanism observed in the deformed aluminum is tentatively related to the interaction of phonons with geometrical kinks in dislocations.

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Zur Anwendung des Peierlsschen Modells auf schwach gekrümmte Versetzungen

Cited by 39 publications

References 14 publications

Calculation of Quantum Tunneling for a Spatially Extended Defect: The Dislocation Kink in Copper Has a Low Effective Mass

Calculation of Quantum Tunneling for a Spatially Extended Defect: The Dislocation Kink in Copper Has a Low Effective Mass

A generalized Peierls–Nabarro model for kinked dislocations

Low-Temperature Acoustic and Thermal Properties of Plastically Deformed, High-Purity Polycrystalline Aluminum

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