104
Views
3
CrossRef citations to date
0
Altmetric
Part A: Materials Science

A Monte Carlo study of ionic transport in a simple cubic random alloy via the interstitialcy mechanism: effects of non-collinear and direct interstitial jumps

&
Pages 108-127 | Received 19 Jul 2016, Accepted 07 Sep 2016, Published online: 22 Sep 2016
 

Abstract

Self-diffusion and ionic conduction via the interstitialcy mechanism in a simple cubic, binary random alloy AB were investigated as a function of composition using Monte Carlo simulation. It was found that allowance for non-collinear jumps (partly) replacing concurrent collinear site exchanges leads to a reduction in diffusion correlation effects. This goes along with a shift of the diffusion percolation threshold to lower concentrations of the (more) mobile component B. Even stronger changes of mass and charge transport compared to an exclusively collinear interstitialcy scheme are observed for additional contributions of direct interstitial jumps. It is remarkable that for both extensions of interstitialcy mediated diffusion, the Haven ratio appears to be greater than unity in certain composition ranges poor in B. All results rely on the calculation of tracer and interstitialcy correlation factors in the simplest possible three-dimensional lattice structure. Yet they may have more general relevance to the interpretation of tracer self-diffusion data and ionic conductivity measurements on crystalline materials.

Notes

No potential conflict of interest was reported by the authors.

1 Compared to our previous paper, we changed the notation of percolation thresholds from to to avoid confusion with indices c referring to ‘collinear’ in the present work.

2 To reduce the number of indices, the common asterisk for labelling tracer diffusivity () has been replaced by the ‘hat’ symbol () throughout the paper.

3 Minor changes to Equation (Equation16) are necessary if the number of lattice sites and interstices are different.

4 In the terminology of LeClaire [Citation8], the present collinear and non-collinear jumps are denoted as direct and indirect interstitialcy jumps

Additional information

Funding

This research was supported by the Deutsche Forschungsgemeinschaft [STO 210/16-1].

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.