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 journalArticle

Abstract

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
Volume123
Issue number1
DOIs
Publication statusPublished - Oct 1 2019

Fingerprint

Isotopes
isotopes
Oxides
oxides
coefficients
conduction
atmospheres
profiles
transport properties
Gases
Experiments
gases
Ions
Transport properties
ions
gaseous diffusion
Ion exchange
energy conversion
tracers
Radioactive tracers

All Science Journal Classification (ASJC) codes

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

Cite this

Explicit Solution to Extract Self-Diffusion and Surface Exchange Coefficients from Isotope Back-Exchange Experiments. / Akbay, Taner; Kilner, John A.; Ishihara, Tatsumi; Atkinson, Colin.

In: Journal of Physical Chemistry C, Vol. 123, No. 1, 01.10.2019, p. 258-264.

Research output: Contribution to journalArticle

@article{76ed6d5809fa4d98808d0e2cb90b7ab4,
title = "Explicit Solution to Extract Self-Diffusion and Surface Exchange Coefficients from Isotope Back-Exchange Experiments",
abstract = "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.",
author = "Taner Akbay and Kilner, {John A.} and Tatsumi Ishihara and Colin Atkinson",
year = "2019",
month = "10",
day = "1",
doi = "10.1021/acs.jpcc.8b10823",
language = "English",
volume = "123",
pages = "258--264",
journal = "Journal of Physical Chemistry C",
issn = "1932-7447",
publisher = "American Chemical Society",
number = "1",

}

TY - JOUR

T1 - Explicit Solution to Extract Self-Diffusion and Surface Exchange Coefficients from Isotope Back-Exchange Experiments

AU - Akbay, Taner

AU - Kilner, John A.

AU - Ishihara, Tatsumi

AU - Atkinson, Colin

PY - 2019/10/1

Y1 - 2019/10/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85059912366&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85059912366&partnerID=8YFLogxK

U2 - 10.1021/acs.jpcc.8b10823

DO - 10.1021/acs.jpcc.8b10823

M3 - Article

AN - SCOPUS:85059912366

VL - 123

SP - 258

EP - 264

JO - Journal of Physical Chemistry C

JF - Journal of Physical Chemistry C

SN - 1932-7447

IS - 1

ER -