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A Superior Description of AC Behavior in Polycrystalline Solid Electrolytes with Current-Constriction Effects
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 Title & Authors
A Superior Description of AC Behavior in Polycrystalline Solid Electrolytes with Current-Constriction Effects
Lee, Jong-Sook;
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The conventional brick-layer model is not satisfactory either in theory or in practice for the description of dispersive responses of polycrystalline solid electrolytes with current-constriction effects at the grain boundaries. Parallel networks of complex dielectric functions have been shown to successfully describe the AC responses of polycrystalline sodium conductors over a wide temperature and frequency range using only around ten model parameters of well-defined physical significance. The approach can be generally applied to many solid electrolyte systems. The present work illustrates the approach by simulation. Problems of bricklayer model analysis are demonstrated by fitting analysis of the simulated data under experimental conditions.
Solid electrolytes;Current-constriction;Dielectric spectroscopy;Simulation;Complex dielectric function;
 Cited by
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한국세라믹학회지 , 2016. vol.53. 5, pp.511-520 crossref(new window)
Application of a General Gas Electrode Model to Ni-YSZ Symmetric Cells: Humidity and Current Collector Effects, Journal of the Korean Ceramic Society, 2016, 53, 5, 511  crossref(new windwow)
K. Cole and R. Cole, "Dispersion and Absorption in Dielectrics I. Alternating Current Characteristics," J. Chem. Phys., 9 [4] 341-51 (1941). crossref(new window)

E.-C. Shin, J. Ma, P.-A. Ahn, H.-H. Seo, D. T. Nguyen, and J. S. Lee, "Deconvolution of Four Transmission-Line-Model Impedances in Ni-YSZ/YSZ/LSM Solid Oxide Cells and Mechanistic Insights," Electrochim. Acta, 188 [10] 240-53 (2016). crossref(new window)

J.-H. Kim, E.-C. Shin, D.-C. Cho, S. Kim, S. Lim, K. Yang, J. Beum, J. Kim, S. Yamaguchi, and J.-S. Lee, "Electrical Characterization of Polycrystalline Sodium ${\beta}{\prime}{\prime}$-alumina: Revisited and Resolved," Solid State Ionics, 264 22-35 (2014). crossref(new window)

S.-H. Moon, D.-C. Cho, D. T. Nguyen, E.-C. Shin, and J.-S. Lee, "A Comprehensive Treatment of Universal Dispersive Frequency Responses in Solid Electrolytes by Immittance Spectroscopy: Low Temperature AgI Case," J. Solid State Electrochem., 19 [8] 2457-64 (2015). crossref(new window)

S.-H. Moon, Y.-H. Kim, D.-C. Cho, E.-C. Shin, D. Lee, W. B. Im, and J.-S. Lee, "Sodium Ion Transport in Polymorphic Scandium NASICON Analog $Na_3Sc_2(PO_4)_3$ with New Dielectric Spectroscopy Approach for Current-Constriction Effects," Solid State Ionics, 289 55-71 (2016). crossref(new window)

J. Fleig and J. Maier, "The Impedance of Ceramics with Highly Resistive Grain Boundaries: Validity and Limits of the Brick Layer Model," J. Eur. Ceram. Soc., 19 [6] 693-96 (1999). crossref(new window)

J. Fleig and J. Maier, "Finite-Element Calculations on the Impedance of Electroceramics with Highly Resistive Grain Boundaries: I, Laterally Inhomogeneous Grain Boundaries," J. Am. Ceram. Soc., 82 [12] 3485-93 (1999).

B. A. Boukamp, "Practical Application of the Kramers-Kronig Transformation on Impedance Measurements in Solid State Electrochemistry," Solid State Ionics, 62 131-41 (1993). crossref(new window)

B. Boukamp,"A Linear Kronig-Kramers Transform Test for Immittance Data Validation," J. Electrochem. Soc., 142 [6] 1885-94 (1995). crossref(new window)

D. Davidson and R. Cole, "Dielectric Relaxation in Glycerol, Propylene Glycol, and n-Propanol," J. Chem. Phys., 19 [12] 1484-90 (1951). crossref(new window)

S. Havriliak and S. Negami, "A Complex Plane Analysis of ${\alpha}$-dispersions in Some Polymer Systems," J. Polym. Sci., Part C: Polym. Symp., 14 [1] 99-117 (1966).

A. Boersma, J. Van Turnhout, and M. Wubbenhorst, "Dielectric Characterization of a Thermotropic Liquid Crystalline Copolyesteramide: 1. Relaxation Peak Assignment," Macromolecules, 31 [21] 7453-60 (1998). crossref(new window)

R. Diaz-Calleja, "Comment on the Maximum in the Loss Permittivity for the Havriliak-Negami Equation," Macromolecules, 33 [24] 8924-24 (2000). crossref(new window)

S. Havriliak and S. Havriliak, "Results from an Unbiased Analysis of Nearly 1000 Sets of Relaxation Data," J. Non-Cryst. Solids, 172 297-310 (1994).

J. R. Macdonald, "New Model for Nearly Constant Dielectric Loss in Conductive Systems: Temperature and Concentration Dependencies," J. Chem. Phys., 116 [8] 3401-9 (2002). crossref(new window)

J. R. Macdonald, "Universality, the Barton-Nakajima-Namikawa Relation, and Scaling for Dispersive Ionic Materials," Phys. Rev. B, 71 [18] 184307 (2005). crossref(new window)

E. Barsoukov and J. R. Macdonald, Impedance Spectroscopy: Theory, Experiment, and Application; Wiley Inter-Science, Hoboken, New Jersey, 2005.

J. R. Macdonald, "Impedance Spectroscopy: Models, Data Fitting, and Analysis," Solid State Ionics, 176 [25] 1961-69 Hokken, New Jerser (2005). crossref(new window)

J. R. Macdonald, Impedance spectroscopy: Theory, Experiment, and Applications; Chapter 4, pp. 264-82, Wiley Inter-Science, Hoboken, New Jersey, 2005.

J. R. Macdonald, "Surprising Conductive-and Dielectric-System Dispersion Differences and Similarities for Two Kohlrausch-related Relaxation-Time Distributions," J. Phys.: Condens. Matter, 18 [2] 629-44 (2006). crossref(new window)

J. R. Macdonald, CNLS Immittance, Inversion, and Simulation Fitting Program LEVM/LEVNW Manual; 8.13 edition, 2015.

A. K. Jonscher, "The Universal Dielectric Response," Nature, 267 673-79 (1977). crossref(new window)

K. Funke, "Jump Relaxation in Solid Electrolytes," Prog. Solid State Chem., 22 [2] 111 (1993). crossref(new window)

A. K. Jonscher, "Dielectric Relaxation in Solids," J. Phys. Appl. Phys., 32 [14] R57 (1999). crossref(new window)

D. Almond, A. West, and R. Grant, "Temperature Dependence of the Ac Conductivity of Na ${\beta}$ Aumina," Solid State Comm., 44 [8] 1277-80 (1982). crossref(new window)

D. Sidebottom, P. Green, and R. Brow, "Comparison of KWW and Power Law Analyses of an Ion-Conducting Glass," J. Non-Cryst. Solids, 183 [1] 151-60 (1995). crossref(new window)

A. Nowick, A. Vaysleyb, and I. Kuskovsky, "Universal Dielectric Response of Variously Doped $CeO_2$ Ionically Conducting Ceramics," Phys. Rev. B, 58 [13] 8398 (1998). crossref(new window)

D. L. Sidebottom, "Universal Approach for Scaling the Ac Conductivity in Ionic Glasses," Phys. Rev. Lett., 82 [18] 3653 (1999). crossref(new window)

K. L. Ngai, "Properties of the Constant Loss in Ionically Conducting Glasses, Melts, and Crystals," J. Chem. Phys., 110 [21] 10576-84 (1999). crossref(new window)

K. L. Ngai and C. Leon, "Cage Decay, Near Constant Loss, and Crossover to Cooperative Ion Motion in Ionic Conductors: Insight from Experimental Data," Phys. Rev. B, 66 [6] 064308 (2002). crossref(new window)

B. Roling, C. Martiny, and S. Murugavel, "Ionic Conduction in Glass: New Information on the Interrelation between the 'Jonscher Behavior' and the 'Nearly Constant-Loss Behavior' from Broadband Conductivity Spectra," Phys. Rev. Lett., 87 [8] 085901 (2001). crossref(new window)

K. Funke, R. Banhatti, and C. Cramer, "Correlated Ionic Hopping Processes in Crystalline and Glassy Electrolytes Resulting in MIGRATION-type and Nearly-Constant-Loss-Type Conductivities," Phys. Chem. Chem. Phys., 7 [1] 157-65 (2005). crossref(new window)

J. R. Macdonald, "Nearly Constant Loss or Constant Loss in Ionically Conducting Glasses: A Physically Realizable Approach," J. Chem. Phys., 115 [13] 6192-99 (2001). crossref(new window)

J. R. Macdonald, "Discrimination between Series and Parallel Fitting Models for Nearly Constant Loss Effects in Dispersive Ionic Conductors," J. Non-Cryst. Solids, 307 913-20 (2002).

R. Banhatti, D. Laughman, L. Badr, and K. Funke, "Nearly Constant Loss Effect in Sodium Borate and Silver Meta- Phosphate Glasses: New Insights," Solid State Ionics, 192 [1] 70-5 (2011). crossref(new window)

P. Lunkenheimer and A. Loidl, "Response of Disordered Matter to Electromagnetic Fields," Phys. Rev. Lett., 91 [20] 207601 (2003). crossref(new window)

J.-S. Lee, J. Jamnik, and J. Maier, "Generalized Equivalent Circuits for Mixed Conductors: Silver Sulfide as a Model System," Monatash. Chem. Chem. Mon., 140 [9] 1113-19 (2009). crossref(new window)

E.-C. Shin, P.-A. Ahn, H.-H. Seo, J.-M. Jo, S.-D. Kim, S.-K. Woo, J. H. Yu, J. Mizusaki, and J.-S. Lee, "Polarization Mechanism of High Temperature Electrolysis in a Ni-YSZ/ YSZ/LSM Solid Oxide Cell by Parametric Impedance Analysis," Solid State Ionics, 232 80-96 (2013). crossref(new window)

E.-C. Shin, Y.-H. Kim, S.-J. Kim, C.-N. Park, J. Kim, and J.-S. Lee, "Pneumatochemical Immittance Spectroscopy for Hydrogen Storage Kinetics," J. Phys. Chem. C, 117 [39] 19786-808 (2013). crossref(new window)

S. Kim, J. Fleig, and J. Maier, "Space Charge Conduction: Simple Analytical Solutions for Ionic and Mixed Conductors and Application to Nanocrystalline Ceria," Phys. Chem. Chem. Phys., 5 [11] 2268-73 (2003). crossref(new window)

J.-S. Lee, S. Adams, and J. Maier, "Defect Chemistry and Transport Characteristics in ${\beta}$ -AgI," J. Phys. Chem. Solids, 61 1607-22 (2000). crossref(new window)

X. Guo and R. Waser, "Electrical Properties of the Grain Boundaries of Oxygen Ion Conductors: Acceptor-Doped Zirconia and Ceria," Prog. Mater. Sci., 51 [2] 151-210 (2006). crossref(new window)

C. Kjolseth, H. Fjeld, O. Prytz, P. Dahl, C. Estournes, R. Haugsrud, and T. Norby, "Space-Charge Theory Applied to the Grain Boundary Impedance of Proton Conducting $BaZr_{0.9}Y_{0.1}O_{3-{\delta}}$," Solid State Ionics, 181 [5-7] 268-75 (2010). crossref(new window)

C.-T. Chen, C. E. Danel, and S. Kim, "On the Origin of the Blocking Effect of Grain-Boundaries on Proton Transport in Yttrium-doped Barium Zirconates," J. Mater. Chem., 21 [14] 5435-42 (2011). crossref(new window)

M. Shirpour, R. Merkle, C. Lin, and J. Maier, "Nonlinear Electrical Grain Boundary Properties in Proton Conducting Y-$BaZrO_3$ Supporting the Space Charge Depletion Model," Phys. Chem. Chem. Phys., 14 [2] 730-40 (2012). crossref(new window)

C. R. Mariappan, M. Gellert, C. Yada, F. Rosciano, and B. Roling, "Grain Boundary Resistance of Fast Lithium Ion Conductors: Comparison between a Lithium-Ion Conductive Li-Al-Ti-P-O-type Glass Ceramic and a $Li_{1.5}Al_{0.5}Ge_{1.5}P_3O_{12}$ Ceramic," Electrochem. Comm., 14 [1] 25-8 (2012). crossref(new window)

I. Raistrick, C. Ho, and R. A. Huggins, "Ionic Conductivity of Some Lithium Silicates and Aluminosilicates," J. Electrochem. Soc., 123 [10] 1469-76 (1976). crossref(new window)

P. G. Bruce and A. R. West, "The A-C Conductivity of Polycrystalline LISICON, $Li_{2+2x}Zn_{1-x}GeO_4$, and a Model for Intergranular Constriction Resistances," J. Electrochem. Soc., 130 [3] 662-69 (1983). crossref(new window)

J.-S. Lee, E.-C. Shin, D.-K. Shin, Y. Kim, P.-A. Ahn, H.-H. Seo, J.-M. Jo, J.-H. Kim, G.-R. Kim, Y.-H. Kim, J.-Y. Park, C.-H. Kim, J.-O. Hong, and K.-H. Hur, "Impedance Spectroscopy Models for X5R Multilayer Ceramic Capacitors," J. Korean Ceram. Soc., 49 [5] 475-83 (2012). crossref(new window)

H.-I. Yoo, T.-S. Oh, H.-S. Kwon, D.-K. Shin, and J.-S. Lee, "Electrical Conductivity-Defect Structure Correlation of Variable-Valence and Fixed-Valence Acceptor-Doped $BaTiO_3$ in Quenched State," Phys. Chem. Chem. Phys., 11 [17] 3115-26 (2009). crossref(new window)

J. R. Macdonald, "Comparison of the Universal Dynamic Response Power-Law Fitting Model for Conducting Systems with Superior Alternative Models," Solid State Ionics, 133 [1] 79-97 (2000). crossref(new window)