Explicit Solution to Extract Self-Diffusion and Surface Exchange Coefficients from Isotope Back-Exchange Experiments

Taner Akbay, John A. Kilner, Tatsumi Ishihara, Colin Atkinson

    Research output: Contribution to journalArticlepeer-review

    2 Citations (Scopus)


    Multistep 18 O isotope exchange procedures and subsequent analytical techniques can be used to elucidate the effect of ambient gas atmospheres on the transport properties of oxide ion-conducting materials utilized in high-temperature solid oxide devices for electrochemical energy conversion. In this contribution, we provide an explicit solution to the one-dimensional transient diffusion equation to estimate oxygen self-diffusion and surface exchange coefficients of oxide ion conducting materials exposed to multistep 18 O exchange procedures. Although an analytical solution exists for representing the diffusion profiles of labeled species obtained from a single-step isotope exchange procedure, it is not applicable to the diffusion profiles resulted from consecutive procedures with dynamically altered initial and surface boundary conditions. Hence, a new analytical solution is found for the diffusion problem representing the isotope back-exchange procedure in a semi-infinite spatial domain. The explicit solution is then used to determine the self-diffusion and surface exchange coefficients as fitting parameters for tracer gas diffusion profiles obtained from multistep isotope exchange experiments conducted in different oxidizing gas atmospheres. It is demonstrated that the explicit solution provides a great flexibility in analyzing the effects of oxidizing gas atmospheres on transport properties of oxide ion conducting materials.

    Original languageEnglish
    Pages (from-to)258-264
    Number of pages7
    JournalJournal of Physical Chemistry C
    Issue number1
    Publication statusPublished - Oct 1 2019

    All Science Journal Classification (ASJC) codes

    • Electronic, Optical and Magnetic Materials
    • Energy(all)
    • Physical and Theoretical Chemistry
    • Surfaces, Coatings and Films


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