Grain Boundary Self-Diffusion in Silver Bicrystals

Sommer, Jens; Herzig, Christian; Mayer, Stephan; Gust, W.

doi:10.4028/www.scientific.net/ddf.66-69.843

Cited by 11 publications

(4 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Therefore, GB diusion is supposed to change con-tinuously with the variation of Y. It should be pointed out that the distance in the tilt angle Y between the experimental points in the investigations of Sommer et al [8] as well as of Ma and Ballu [9] were comparably large (5±108). These studies therefore yield no proof in favour of the structural unit model of GB diusion, if possible cusps turn out to be rather narrow.…”

Section: Introductionmentioning

confidence: 97%

See 1 more Smart Citation

Tracer diffusion of Au and Cu in a series of near Σ=5 (310)[001] symmetrical Cu tilt grain boundaries

et al. 1999

View full text Add to dashboard Cite

AbstractÐGrain boundary diusion of Au and Cu was measured in a series of Cu bicrystals with symmetrical near AE 5, Â 36X98 310001 CSL tilt grain boundaries (GBs) using the radiotracer and the serial sectioning technique. The orientations of the bicrystals were very precisely determined with the Kossel technique where all three macroscopic parameters describing the orientations of the grains in the bicrystal were evaluated. The tilt angles ranged from 33.218 to 39.268. The GB diusion of the radiotracers 195 Au and 64 Cu was measured as a function of tilt angle and temperature. In the investigated temperature range 1030±661 K the orientation dependence of both radiotracers shows a characteristic cusp not exactly at but slightly below the ideal AE 5 CSL GB. The Arrhenius parameters, activation enthalpy and frequency factor, determined from lower temperature data adopt a maximum, again slightly before the ideal AE 5 CSL GB. These features are discussed with respect to the accidental small twist and second tilt orientations and the corresponding dislocation network inherent in the investigated real GBs. With increasing temperature a negative deviation from a straight Arrhenius behaviour is observed. This result indicates a certain change in the GB structure in the temperature range above 800 K. #

show abstract

Section: Introductionmentioning

confidence: 97%

“…Sommer et al [8] investigated self-diusion along bonded symmetrical [001] Ag tilt GBs and found a continuous variation of dD GB with the tilt angle Y. The tilt angle Y describes the grain orientation of the two adjacent grains with respect to the [001] tilt axis.…”

Section: Introductionmentioning

confidence: 99%

Tracer diffusion of Au and Cu in a series of near Σ=5 (310)[001] symmetrical Cu tilt grain boundaries

et al. 1999

View full text Add to dashboard Cite

show abstract

“…32 In addition the diffusivity along the direction of the tilt axis is much higher than perpendicular to it. 30 The latter effect may be, as suggested in Reference 33 and as discussed in the following, the reason why a pronounced (111) orientation of grains results in longer electromigration lifetimes.…”

Section: The Activation Energy Q In Black's Equationmentioning

confidence: 69%

Electromigration, models and atomistic interpretation

Kirchheim

1993

Quality & Reliability Eng

View full text Add to dashboard Cite

Fundamental aspects of electromigration in Al-lines of integrated circuits are reviewed, including vacancy diffusion, vacancy generation and annihilation. The latter processes give rise to the generation of mechanical stresses. Various models and computer simulations on electromigration are compiled and their influence on the parameters in Black's equations is discussed. The beneficial effect of a (111) texture is explained by the concomitant formation of a large number of tilt grain boundaries and the low diffusivity of atoms perpendicular to the tilt axis of these boundaries.

show abstract

“…Since then, the misorientation dependence of GB diffusion has been found in many other systems. It is generally found that the diffusivity along high angle GBs is higher than along low angle or coincidence site lattice (CSL) GBs [14][15][16][17]. The structure dependence of GB diffusion arises from the atomic nature of diffusion.…”

Section: Introductionmentioning

confidence: 99%

Kinetic Monte Carlo simulation of the effective diffusivity in grain boundary networks

Deng

Morgan

Szlufarska

2014

Computational Materials Science

View full text Add to dashboard Cite

The effective diffusivity in grain boundary networks of polycrystalline materials is evaluated using a kinetic Monte Carlo model. This model connects the atomic hopping processes with the coarse-grained diffusion so that the macroscopic simulations can be conducted without the need to resolve atomic details. The effects of various properties of the grain boundary network on the effective diffusivity have been examined, including grain size, two-vs. three-dimensional networks, and distribution of grain boundary diffusivities. It is shown that the effective diffusivity does not depend on the grain size when grain boundary diffusion is the dominant diffusion mechanism in a polycrystalline sample. We find that the behavior of the effective diffusivity is qualitatively the same for two-and three-dimensional models, except that the percolation threshold and the critical exponents need to be changed accordingly when using empirical functions to characterize the effective diffusivity. In addition, we find that the effective diffusivity exhibits large fluctuations due to its dependence on the grain boundary distributions, and therefore the details of the materials microstructure can significantly impact the effective diffusivity in a specific finite-size sample. Finally, we check the applicable range of the effective medium theory and discuss the effects of modeling different grain boundary types with varying diffusivities using just two vs. many types.

show abstract

Grain Boundary Self-Diffusion in Silver Bicrystals

Cited by 11 publications

References 0 publications

Tracer diffusion of Au and Cu in a series of near Σ=5 (310)[001] symmetrical Cu tilt grain boundaries

Tracer diffusion of Au and Cu in a series of near Σ=5 (310)[001] symmetrical Cu tilt grain boundaries

Electromigration, models and atomistic interpretation

Kinetic Monte Carlo simulation of the effective diffusivity in grain boundary networks

Contact Info

Product

Resources

About