Simulating Charge Transport in Solid Oxide Mixed Ionic and Electronic Conductors: Nernst-Planck Theory vs Modified Fick's Law
Abstract
With the assumption that the Fermi level (electrochemical potential of electrons) is uniform across the thickness of a mixed ionic and electronic conducting (MIEC) electrode, the charge-transport model in the electrode domain can be reduced to the modified Fick’s first law, which includes a thermodynamic factor A. A transient numerical solution of the Nernst-Planck theory was obtained for a symmetric cell with MIEC electrodes to illustrate the validity of the assumption of a uniform Fermi level. Subsequently, an impedance numerical solution based on the modified Fick’s first law is compared with that from the Nernst-Planck theory. The results show that Nernst-Planck charge-transport model is essentially the same as the modified Fick’s first law model as long as the MIEC electrodes have a predominant electronic conductivity. However, because of the invalidity of the uniform Fermi level assumption for aMIEC electrolyte with a predominant ionic conductivity, Nernst-Planck theory is needed to describe the charge transport behaviors.
- Authors:
-
- Univ. of South Carolina, Columbia, SC (United States). Dept. of Mechanical Engineering
- Univ. of South Carolina, Columbia, SC (United States). Dept. of Chemical Engineering
- Publication Date:
- Research Org.:
- Univ. of South Carolina, Columbia, SC (United States)
- Sponsoring Org.:
- USDOE Advanced Research Projects Agency - Energy (ARPA-E)
- OSTI Identifier:
- 1437304
- Grant/Contract Number:
- AR0000492
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of the Electrochemical Society
- Additional Journal Information:
- Journal Volume: 163; Journal Issue: 13; Journal ID: ISSN 0013-4651
- Publisher:
- The Electrochemical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY; 42 ENGINEERING
Citation Formats
Jin, Xinfang, White, Ralph E., and Huang, Kevin. Simulating Charge Transport in Solid Oxide Mixed Ionic and Electronic Conductors: Nernst-Planck Theory vs Modified Fick's Law. United States: N. p., 2016.
Web. doi:10.1149/2.0941613jes.
Jin, Xinfang, White, Ralph E., & Huang, Kevin. Simulating Charge Transport in Solid Oxide Mixed Ionic and Electronic Conductors: Nernst-Planck Theory vs Modified Fick's Law. United States. https://doi.org/10.1149/2.0941613jes
Jin, Xinfang, White, Ralph E., and Huang, Kevin. Tue .
"Simulating Charge Transport in Solid Oxide Mixed Ionic and Electronic Conductors: Nernst-Planck Theory vs Modified Fick's Law". United States. https://doi.org/10.1149/2.0941613jes. https://www.osti.gov/servlets/purl/1437304.
@article{osti_1437304,
title = {Simulating Charge Transport in Solid Oxide Mixed Ionic and Electronic Conductors: Nernst-Planck Theory vs Modified Fick's Law},
author = {Jin, Xinfang and White, Ralph E. and Huang, Kevin},
abstractNote = {With the assumption that the Fermi level (electrochemical potential of electrons) is uniform across the thickness of a mixed ionic and electronic conducting (MIEC) electrode, the charge-transport model in the electrode domain can be reduced to the modified Fick’s first law, which includes a thermodynamic factor A. A transient numerical solution of the Nernst-Planck theory was obtained for a symmetric cell with MIEC electrodes to illustrate the validity of the assumption of a uniform Fermi level. Subsequently, an impedance numerical solution based on the modified Fick’s first law is compared with that from the Nernst-Planck theory. The results show that Nernst-Planck charge-transport model is essentially the same as the modified Fick’s first law model as long as the MIEC electrodes have a predominant electronic conductivity. However, because of the invalidity of the uniform Fermi level assumption for aMIEC electrolyte with a predominant ionic conductivity, Nernst-Planck theory is needed to describe the charge transport behaviors.},
doi = {10.1149/2.0941613jes},
journal = {Journal of the Electrochemical Society},
number = 13,
volume = 163,
place = {United States},
year = {Tue Oct 04 00:00:00 EDT 2016},
month = {Tue Oct 04 00:00:00 EDT 2016}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 11 works
Citation information provided by
Web of Science
Web of Science
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Precise Determination of the Chemical Diffusion Coefficient of Calcium-Doped Lanthanum Chromites by Means of Electrical Conductivity Relaxation
journal, January 1994
- Yasuda, Isamu
- Journal of The Electrochemical Society, Vol. 141, Issue 5
Equations for transport in solid oxides and sulfides of transition metals
journal, January 1975
- Wagner, C.
- Progress in Solid State Chemistry, Vol. 10
A new class of oxygen selective chemically driven nonporous ceramic membranes. Part I. A-site doped perovskites
journal, December 1992
- Gür, Turgut M.; Belzner, Andreas; Huggins, Robert A.
- Journal of Membrane Science, Vol. 75, Issue 1-2
Modeling SOFC Cathodes Based on 3-D Representations of Electrode Microstructure
conference, January 2011
- Kreller, Cortney; Drake, Melanie; Adler, Stuart B.
- 219th ECS Meeting, ECS Transactions
Oxygen Exchange and Diffusion Coefficients of Strontium-Doped Lanthanum Ferrites by Electrical Conductivity Relaxation
journal, January 1997
- ten Elshof, J. E.
- Journal of The Electrochemical Society, Vol. 144, Issue 3
Comment on “Electrode Kinetics of Porous Mixed-Conducting Oxygen Electrodes” [S. B. Adler, J. A. Lane, and B. C. H. Steel (pp. 3554–3564, Vol. 143, No. 11, 1996)]
journal, January 1997
- Liu, M.
- Journal of The Electrochemical Society, Vol. 144, Issue 5
A novel application of mixed-valence Keggin-type polyoxometalates as non-aqueous electrolytes in polyacenic semiconductor secondary batteries
journal, January 2003
- Wang, X.
- Solid State Ionics, Vol. 156, Issue 1-2
An electrical conductivity relaxation study of oxygen transport in samarium doped ceria
journal, January 2014
- Gopal, Chirranjeevi Balaji; Haile, Sossina M.
- J. Mater. Chem. A, Vol. 2, Issue 7
Mathematical modeling of porous battery electrodes—Revisit of Newman's model
journal, April 2011
- Lai, Wei; Ciucci, Francesco
- Electrochimica Acta, Vol. 56, Issue 11
Interpretation of the Gerischer impedance in solid state ionics
journal, February 2003
- Boukamp, B.
- Solid State Ionics, Vol. 157, Issue 1-4
Importance of the surface exchange kinetics as rate limiting step in oxygen permeation through mixed-conducting oxides
journal, September 1994
- Bouwmeester, H. J. M.; Kruidhof, H.; Burggraaf, A. J.
- Solid State Ionics, Vol. 72
The Impedance Response of a Porous Electrode Composed of Intercalation Particles
journal, January 2000
- Meyers, Jeremy P.; Doyle, Marc; Darling, Robert M.
- Journal of The Electrochemical Society, Vol. 147, Issue 8
Determination of Oxygen Nonstoichiometry and Diffusivity in Mixed Conducting Oxides by Oxygen Coulometric Titration
journal, January 1997
- Lankhorst, M. H. R.
- Journal of The Electrochemical Society, Vol. 144, Issue 4
Determination of the Kinetic Parameters of Mixed-Conducting Electrodes and Application to the System Li[sub 3]Sb
journal, January 1977
- Weppner, W.
- Journal of The Electrochemical Society, Vol. 124, Issue 10
Impedance spectra of mixed conductors: a 2D study of ceria
journal, January 2009
- Ciucci, Francesco; Hao, Yong; Goodwin, David G.
- Physical Chemistry Chemical Physics, Vol. 11, Issue 47
Determination of Electrochemical Kinetic Property for Mixed Ionic Electronic Conductors from Electrical Conductivity Relaxation Measurements
journal, January 2015
- He, Fei; Jin, Xinfang; Tian, Tingfang
- Journal of The Electrochemical Society, Vol. 162, Issue 9
Measuring oxygen diffusion and oxygen surface exchange by conductivity relaxation
journal, November 2000
- Lane, J.
- Solid State Ionics, Vol. 136-137, Issue 1-2
Distributions of Charged Defects in Mixed Ionic-Electronic Conductors
journal, January 1997
- Liu, Meilin
- Journal of The Electrochemical Society, Vol. 144, Issue 5
A Finite Length Cylinder Model for Mixed Oxide-Ion and Electron Conducting Cathodes Suited for Intermediate-Temperature Solid Oxide Fuel Cells
journal, January 2016
- Jin, Xinfang; Wang, Jie; Jiang, Long
- Journal of The Electrochemical Society, Vol. 163, Issue 6
Continuum-Level Analytical Model for Solid Oxide Fuel Cells with Mixed Conducting Electrolytes
journal, January 2009
- Duncan, Keith L.; Wachsman, Eric D.
- Journal of The Electrochemical Society, Vol. 156, Issue 9
Oxygen chemical diffusion in strontium doped lanthanum manganites
journal, October 1992
- Belzner, A.; Gur, T.; Huggins, R.
- Solid State Ionics, Vol. 57, Issue 3-4
Thermal and Electrical Stability of Sr 0.9 Y 0.1 CoO 2.5+δ as a Promising Cathode for Intermediate-Temperature Solid Oxide Fuel Cells
journal, January 2016
- Jiang, Long; Wang, Jie; Xiong, Xiaolei
- Journal of The Electrochemical Society, Vol. 163, Issue 5
Reactor Flush Time Correction in Relaxation Experiments
journal, January 2001
- den Otter, M. W.; Bouwmeester, H. J. M.; Boukamp, B. A.
- Journal of The Electrochemical Society, Vol. 148, Issue 2
Impedance Spectroscopy as a Tool for Chemical and Electrochemical Analysis of Mixed Conductors: A Case Study of Ceria
journal, November 2005
- Lai, Wei; Haile, Sossina M.
- Journal of the American Ceramic Society, Vol. 88, Issue 11
Surface reaction and transport in mixed conductors with electrochemically-active surfaces: a 2-D numerical study of ceria
journal, January 2011
- Ciucci, Francesco; Chueh, William C.; Goodwin, David G.
- Phys. Chem. Chem. Phys., Vol. 13, Issue 6
Time-Dependent 3D Impedance Model of Mixed-Conducting Solid Oxide Fuel Cell Cathodes
journal, January 2013
- Häffelin, Andreas; Joos, Jochen; Ender, Moses
- Journal of The Electrochemical Society, Vol. 160, Issue 8
Measurement and Modeling of the Impedance Characteristics of Porous La[sub 1−x]Sr[sub x]CoO[sub 3−δ] Electrodes
journal, January 2009
- Lu, Yunxiang; Kreller, Cortney; Adler, Stuart B.
- Journal of The Electrochemical Society, Vol. 156, Issue 4
Investigation of sheet resistance in thin-film mixed-conducting solid oxide fuel cell cathode test cells
journal, August 2010
- Lynch, Matthew E.; Liu, Meilin
- Journal of Power Sources, Vol. 195, Issue 16
Electrical conductivity relaxation studies of an epitaxial La0.5Sr0.5CoO3−δ thin film
journal, February 2002
- Chen, X.
- Solid State Ionics, Vol. 146, Issue 3-4
Prediction of infiltrated solid oxide fuel cell cathode polarization resistance
journal, January 2009
- Shah, Megna; Nicholas, Jason D.; Barnett, Scott A.
- Electrochemistry Communications, Vol. 11, Issue 1
The evaluation of data obtained with diffusion couples of binary single-phase and multiphase systems
journal, February 1969
- Wagner, C.
- Acta Metallurgica, Vol. 17, Issue 2
Electrode Kinetics of Porous Mixed-Conducting Oxygen Electrodes
journal, January 1996
- Adler, S. B.
- Journal of The Electrochemical Society, Vol. 143, Issue 11
A Two-Dimensional Model and Numerical Treatment for Mixed Conducting Thin Films
journal, January 2007
- Mebane, David S.; Liu, Yingjie; Liu, Meilin
- Journal of The Electrochemical Society, Vol. 154, Issue 5
Electrical conductivity relaxation studies of oxygen transport in epitaxial YBa/sub 2/Cu/sub 3/O//sub 7-γ/ thin films
journal, June 2003
- Ling Chen, ; Chen, C. L.; Jacobson, A. J.
- IEEE Transactions on Appiled Superconductivity, Vol. 13, Issue 2
Works referencing / citing this record:
Site energy distribution of sodium ions in a sodium rubidium borate glass
journal, January 2019
- Schäfer, Martin; Budina, David; Weitzel, Karl-Michael
- Physical Chemistry Chemical Physics, Vol. 21, Issue 47