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Application of Generalized Transmission Line Models to Mixed Ionic-Electronic Transport Phenomena

  • Ahn, Pyung-An (School of Materials Science and Engineering, Chonnam National University) ;
  • Shin, Eui-Chol (School of Materials Science and Engineering, Chonnam National University) ;
  • Kim, Gye-Rok (School of Materials Science and Engineering, Chonnam National University) ;
  • Lee, Jong-Sook (School of Materials Science and Engineering, Chonnam National University)
  • Received : 2011.11.08
  • Accepted : 2011.11.23
  • Published : 2011.11.30

Abstract

Application of a generalized equivalent circuit including the electrode condition for the Hebb-Wagner polarization in the frequency domain proposed by Jamnik and Maier can provide a consistent set of material parameters, such as the geometric capacitance, partial conductivities, chemical capacitance or diffusivity, as well as electrode characteristics. Generalization of the shunt capacitors for the chemical capacitance by the constant phase elements (CPEs) was applied to a model mixed conducting system, $Ag_2S$, with electron-blocking AgI electrodes and ion-blocking Pt electrodes. While little difference resulted for the electron-blocking cell with almost ideal Warburg behavior, severely non-ideal behavior in the case of Pt electrodes not only necessitates a generalized transmission line model with shunt CPEs but also requires modelling of the leakage in the cell approximately proportional to the cell conductance, which then leads to partial conductivity values consistent with the electron-blocking case. Chemical capacitance was found to be closer to the true material property in the electron-blocking cell while excessively high chemical capacitance without expected silver activity dependence resulted in the electron-blocking cell. A chemical storage effect at internal boundaries is suggested to explain the anomalies in the respective blocking configurations.

Keywords

References

  1. E. Yi, M. Yoon, J. Moon, and H. Hwang, "Fabrication of a $MnCo_2O_4$/gadolinia-doped Ceria (GDC) Dual-phase Composite Membrane for Oxygen Separation," J. Kor. Ceram. Soc., 47 [2] 199-204 (2010). https://doi.org/10.4191/KCERS.2010.47.2.199
  2. J.-Y. Park, J.-S. Park, Y.-T. Kim, and K.-H. Hur, "Thermally Stimulated Depolarization Current Test for Reliability of X5R MLCC," J. Kor. Ceram. Soc., 46 [2] 155-60 (2009). https://doi.org/10.4191/KCERS.2009.46.2.155
  3. J. Jamnik and J. Maier, "Treatment of the Impedance of Mixed Conductors Equivalent Circuit Model and Explicit Approximate Solutions," J. Electrochem. Soc., 146 [11] 4183-88 (1999). https://doi.org/10.1149/1.1392611
  4. J. Jamnik, J. Maier, and S. Pejovnik, "A Powerful Electrical Network Model for the Impedance of Mixed Conductors," Electrochimica Acta, 44 4139-145 (1999). https://doi.org/10.1016/S0013-4686(99)00128-0
  5. J. Jamnik and J. Maier, "Generalised Equivalent Circuits for Mass and Charge Transport: Chemical Capacitance and its Implications," Phys. Chem. Chem. Phys., 3 1668-678 (2001). https://doi.org/10.1039/b100180i
  6. W. Lai and S. M. Haile, "Impedance Spectroscopy as a Tool for Chemical and Electrochemical Analysis of Mixed Conductors: A Case Study of Ceria," J. Am. Ceram. Soc., 88 2979-997 (2005). https://doi.org/10.1111/j.1551-2916.2005.00740.x
  7. J.-S. Lee, J. Jamnik, and J. Maier, "Generalized Equivalent Circuits for Mixed Conductors: Silver Sulfide as a Model System," Monatsh. Chem., 140 [9] 1113-119 (2009). https://doi.org/10.1007/s00706-009-0130-x
  8. C. Wagner, "Ueber Die Natur Des Elektrischen Leitvermogens Des ${\alpha}$-Silbersulfids," Z. Phys. Chem., 21 42-7 (1933).
  9. S. Miyatani, "On the Polarization of Silver Sulfide," J. Phys. Soc. Jpn., 10 786-93 (1955). https://doi.org/10.1143/JPSJ.10.786
  10. M. H. Hebb, "Electrical Conductivity of Silver Sulfide," J. Chem. Phys., 20 185-90 (1952). https://doi.org/10.1063/1.1700165
  11. C. Wagner, "Investigation on Silver Sulfide," J. Chem. Phys., 21 [10] 1819-827 (1953). https://doi.org/10.1063/1.1698670
  12. C. Wagner, "Equations for Transport in Solid Oxides and Sulfides of Transition Metals," Prog. Solid State Chem., 10 3-16 (1975). https://doi.org/10.1016/0079-6786(75)90002-3
  13. I. Yokota, "On the Theory of Mixed Conduction with Special Reference to Conduction in Silver Sulfide Group Semiconductors," J. Phys. Soc. Jpn., 16 2213-223 (1961). https://doi.org/10.1143/JPSJ.16.2213
  14. H. Schmalzried, "$Ag_2S$-the Physical Chemistry of an Inorganic Material," Prog. Solid State. Chem., 13 119-57 (1980). https://doi.org/10.1016/0079-6786(80)90002-3
  15. J. Maier, "Evaluation of Electrochemical Methods in Solid State Research and Their Generalization for Defects with Variable Charges," Z. Phys. Chem. N.F., 140 191-215 (1984). https://doi.org/10.1524/zpch.1984.140.2.191
  16. J.-S. Lee and H.-I. Yoo, "Direct Measurement of Partial Ionic Conductivity of $Co_{1-{\delta}}O$ Via Impedance Spectroscopy Combined with DC Relaxation," Solid State Ionics, 68 139-49 (1994). https://doi.org/10.1016/0167-2738(94)90248-8
  17. J.-S. Lee and H.-I. Yoo, "A New Assessment of Ionic Conductivity of $YBa_2Cu_3Ox$ Via AC Impedance Spectroscopy Combined with DC Relaxation," J. Electrochem. Soc., 142 [4] 1169-176 (1995). https://doi.org/10.1149/1.2044147
  18. D. Johnson, "ZView: A Software Program for IES Analysis, Version 3.2 c," 2010.
  19. K. Cole and R. Cole, "Dispersion and Absorption in Dielectrics I. Alternating Current Characteristics," J. Chem. Phys., 9 341-51 (1941). https://doi.org/10.1063/1.1750906
  20. B. Boukamp, Equivalent Circuit (Equivcrt.PAS) Users Manual, Report CT89/2 14/128, The Netherlands, University of Twente, 1989.
  21. J. Fleig, H.-R. Kim, J. Jamnik, and J.Maier, "Oxygen Reduction Kinetics of Lanthanum Manganite (LSM) Model Cathodes: Partial Pressure Dependence and Rate-Limiting Steps," Fuel Cells, 8 [5] 330-37 (2008). https://doi.org/10.1002/fuce.200800025
  22. J. Jamnik, "Impedance Spectroscopy of Mixed Conductors with Semi-Blocking Boundaries," Solid State Ionics, 157 19-28 (2003). https://doi.org/10.1016/S0167-2738(02)00183-2
  23. E.-C. Shin, S. M. Seo, H.-H. Park, S. J. Kim, C. H. Kim, D. J. Kim, C. K. Hong, G. Seo, and J.-S. Lee, "Transmission Line Model for the Percolating Carbon Network in the Dielectric Matrix: Part I. Theory," Phys. Chem. Chem. Phys., submitted.
  24. S. M. Park, H.-H. Seo, E.-C. Shin, S. J. Kim, C. H. Kim, D. J. Kim, C. K. Hong, G. Seo, and J.-S. Lee, "Transmission Line Model for the Percolating Carbon Network in the Dielectric Matrix: Part I. Applications to Rubber Composits," Phys. Chem. Chem. Phys., submitted.
  25. R. Andreaus and W. Sitte, "Ionic Transport Properties of Mixed Conductors: Application of AC and DC Methods to Silver Telluride," J. Electrochem. Soc., 144 [3] 1040-44 (1997). https://doi.org/10.1149/1.1837527
  26. K. D. Becker, H. Schmalzried, and V. von Wurmb, "The Chemical Diffusion Coefficient in (Low Temperature) ${\alpha}$-$Ag_2S$ Determined by an Electrochemical Relaxation Method," Solid State Ionics, 11 [3] 213-19 (1983). https://doi.org/10.1016/0167-2738(83)90026-7
  27. G. Bonnecaze, A. Lichanot, and S. Gromb, "Proprietes Electroniques Et. Electrogalvaniques Du Sulfure D'Argent ${\alpha}$ : Domaine D'Existence," J. Phys. Chem. Solids, 39 299-310 (1978). https://doi.org/10.1016/0022-3697(78)90058-6
  28. B. A. Boukamp, "Practical Application of the Kramers-Kronig Transformation on Impedance Measurements in Solid State Electrochemistry," Solid State Ionics, 62 131-41 (1993). https://doi.org/10.1016/0167-2738(93)90261-Z
  29. L. Burke, H. Rickert, and R. Steiner, "Elektrochemische Untersuchungen zur Teilleitfahigkeit, Beweglichkeit und Konzentration der Elektronen und Defektelektronen in dotiertem Zirkondioxid und Thoriumdioxid," Z. Phys. Chem., 74 [3-6] 146-67 (1971). https://doi.org/10.1524/zpch.1971.74.3_6.146
  30. W. Zipprich and H. Wiemhofer, "Measurement of Ionic Conductivity in Mixed Conducting Compounds using Solid Electrolyte Microcontacts," Solid State Ionics, 135 [1] 699-707 (2000). https://doi.org/10.1016/S0167-2738(00)00385-4
  31. J. Maier, "Nanoionics: Ion Transport and Electrochemical Storage in Confined Systems," Nature Mater., 4 [11] 805-15 (2005). https://doi.org/10.1038/nmat1513

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