DOI QR코드

DOI QR Code

Impedance Spectroscopy Models for X5R Multilayer Ceramic Capacitors

  • Lee, Jong-Sook (School of Materials Science and Engineering, Chonnam National University) ;
  • Shin, Eui-Chol (School of Materials Science and Engineering, Chonnam National University) ;
  • Shin, Dong-Kyu (School of Materials Science and Engineering, Chonnam National University) ;
  • Kim, Yong (School of Materials Science and Engineering, Chonnam National University) ;
  • Ahn, Pyung-An (School of Materials Science and Engineering, Chonnam National University) ;
  • Seo, Hyun-Ho (School of Materials Science and Engineering, Chonnam National University) ;
  • Jo, Jung-Mo (School of Materials Science and Engineering, Chonnam National University) ;
  • Kim, Jee-Hoon (School of Materials Science and Engineering, Chonnam National University) ;
  • Kim, Gye-Rok (School of Materials Science and Engineering, Chonnam National University) ;
  • Kim, Young-Hun (School of Materials Science and Engineering, Chonnam National University) ;
  • Park, Ji-Young (LCR Material Development Group, Samsung Electro-Mechanics) ;
  • Kim, Chang-Hoon (LCR Material Development Group, Samsung Electro-Mechanics) ;
  • Hong, Jeong-Oh (LCR Material Development Group, Samsung Electro-Mechanics) ;
  • Hur, Kang-Heon (LCR Material Development Group, Samsung Electro-Mechanics)
  • Received : 2012.08.24
  • Accepted : 2012.09.27
  • Published : 2012.09.30

Abstract

High capacitance X5R MLCCs based on $BaTiO_3$ ceramic dielectric layers exhibit a single broad, asymmetric arc shape impedance and modulus response over the wide frequency range between 1 MHz to 0.01 Hz. Analysis according to the conventional brick-layer model for polycrystalline conductors employing a series connection of multiple RC parallel circuits leads to parameters associated with large errors and of little physical significance. A new parametric impedance model is shown to satisfactorily describe the experimental spectra, which is a parallel network of one resistor R representing the DC conductivity thermally activated by 1.32 eV, one ideal capacitor C exactly representing bulk capacitance, and a constant phase element (CPE) Q with complex capacitance $A(i{\omega})^{{\alpha}-1}$ with ${\alpha}$ close to 2/3 and A thermally activated by 0.45 eV or ca. 1/3 of activation energy of DC conductivity. The feature strongly indicate the CK1 model by J. R. Macdonald, where the CPE with 2/3 power-law exponent represents the polarization effects originating from mobile charge carriers. The CPE term is suggested to be directly related to the trapping of the electronic charge carriers and indirectly related to the ionic defects responsible for the insulation resistance degradation.

Keywords

References

  1. J.-O. Hong, S.-H. Kim, and K.-H. Hur, "Development History and Trend of High-Capacitance Multi-layer Ceramic Capacitor in Korea," J. Kor. Ceram. Soc., 46 [2] 161-69 (2009). https://doi.org/10.4191/KCERS.2009.46.2.161
  2. J.-S. Lee and D.-Y. Kim, "Space-Charge Concepts on Grain Boundary Impedance of a High-Purity Yttria-Stabilized Tetragonal Zirconia Polycrystal," J. Mater. Res., 16 [9] 2739-51 (2001). https://doi.org/10.1557/JMR.2001.0374
  3. H. Chazono and H. Kishi, "DC-electrical Degradation of the BT-based Material for Multilayer Ceramic Capacitor with Ni Internal Electrode: Impedance Analysis and Microstructure," Jap. J. Appl. Phys., 40 5624-29 (2001). https://doi.org/10.1143/JJAP.40.5624
  4. G. Yang, E. Dickey, C. Randall, D. Barber, P. Pinceloup, M. Henderson, R. Hill, J. Beeson, and D. Skamser, "Oxygen Nonstoichiometry and Dielectric Evolution of $BaTiO_3$. Part I-improvement of Insulation Resistance with Reoxidation," J. Appl. Phys., 96 7492-99 (2004). https://doi.org/10.1063/1.1809267
  5. H. Chazono and T. Hagiwara, "Structure-Property Relationship in BT-Based Dielectrics for Ni-MLCC: Modification of Grain Boundary," Int. J. Appl. Ceram. Technol., 2[1] 45-50 (2005). https://doi.org/10.1111/j.1744-7402.2005.02002.x
  6. Y. Kim, D.-K. Shin, E.-C. Shin, H.-H. Seo, and J.-S. Lee, "Oxide Ion Conduction Anisotropy Deconvoluted in Polycrystalline Apatite-type Lanthanum Silicates," J. Mater. Chem., 21 2940-49 (2011). https://doi.org/10.1039/c0jm03242e
  7. E.-C. Shin, P.-A. Ahn, J.-M. Jo, H.-S. Noh, J. Hwang, J.-H. Lee, J.-W. Son, and J.-S. Lee, "Electrical Characterization of Ultrathin Film Electrolytes of Micro-SOFCs," J. Kor. Ceram. Soc., 49 in print (2012). https://doi.org/10.4191/kcers.2012.49.5.404
  8. 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
  9. B. Boukamp, "A Linear Kronig-Kramers Transform Test for Immittance Data Validation," J. Electrochem. Soc., 142 1885-94 (1995). https://doi.org/10.1149/1.2044210
  10. B. A. Boukamp, "A Nonlinear Least Squares Fit Procedure for Analysis of Immittance Data of Electrochemical Systems," Solid State Ionics. 20 [1] 31-44 (1986). https://doi.org/10.1016/0167-2738(86)90031-7
  11. F. Alvarez, A. Alegra, and J. Colmenero, "Relationship between the Time-domain Kohlrausch-williams-watts and Frequency-domain Havriliak-negami Relaxation Functions," Phys. Rev. B, 44 [14] 7306 (1991). https://doi.org/10.1103/PhysRevB.44.7306
  12. H. J. Hagemann and D. Hennings, "Reversible Weight Change of Acceptor-Doped $BaTiO_3$," J. Am. Ceram. Soc.,64 [10] 590-94 (1981). https://doi.org/10.1111/j.1151-2916.1981.tb10223.x
  13. 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). https://doi.org/10.1039/b822381p
  14. A. Jonscher, "The Universal Dielectric Response," Nature, 267 673-79 (1977). https://doi.org/10.1038/267673a0
  15. C. Moynihan, L. Boesch, and N. Laberge, "Decay Function for the Electric Field Relaxation in Vitreous Ionic Conductors," Phys. Chem. Glasses, 14 [6] 122-25 (1973).
  16. K. Ngai and O. Kanert, "Comparisons between the Coupling Model Predictions, Monte Carlo Simulations and Some Recent Experimental Data of Conductivity Relaxations in Glassy Ionics," Solid State Ionics, 53 936-46 (1992). https://doi.org/10.1016/0167-2738(92)90275-T
  17. K. Funke and R. Banhatti, "Modelling Frequency-dependent Conductivities and Permittivities in the Framework of the MIGRATION Concept," Solid State Ionics, 169 [1] 1-8 (2004). https://doi.org/10.1016/j.ssi.2003.06.003
  18. K. Funke, "Jump Relaxation in Solid Electrolytes," Prog. Solid State Chem., 22 [2] 111 (1993). https://doi.org/10.1016/0079-6786(93)90002-9
  19. 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). https://doi.org/10.1016/0022-3093(94)00587-7
  20. J. R. Macdonald, "Universality, the Barton-Nakajima-Namikawa Relation, and Scaling for Dispersive Ionic Materials," Phys. Rev. B, 71 184307 (2005). https://doi.org/10.1103/PhysRevB.71.184307
  21. J. R. Macdonald, "Surprising Conductive-and Dielectric-system Dispersion Differences and Similarities for Two Kohlrausch-related Relaxation-time Distributions," J. Phys.: Condens. Matter, 18 629-44 (2006). https://doi.org/10.1088/0953-8984/18/2/019
  22. J. R. Macdonald, "Comparison of Some Random-Barrier, Continuous-Time Random-Walk, and Other Models for the Analysis of Wide-Range Frequency Response of Ion-Conducting Materials," J. Phys. Chem. B, 113 [27] 9175-82 (2009).
  23. J. R. Macdonald, "Superiority of the CK1 Fitting Model for Dispersed Conductive Systems," http://www.jrossmacdonald.com, April 2011.
  24. S. Takeoka, K. Morita, Y. Mizuno, and H. Kishi, "Thermally Stimulated Current (TSC) Studies on Resistance Degradation of Ni-MLCC," Ferroelectrics, 356 [1] 78-84 (2007). https://doi.org/10.1080/00150190701509199
  25. 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
  26. W. Liu and C. Randall, "Thermally Stimulated Relaxation in Fe-Doped $SrTiO_3$ Systems: I. Single Crystals," J. Am. Ceram. Soc., 91 [10] 3245-50 (2008). https://doi.org/10.1111/j.1551-2916.2008.02595.x
  27. F. Morin and J. Oliver, "Energy Levels of Iron and Aluminum in $SrTiO_3$," Phys. Rev. B, 8 [12] 5847 (1973). https://doi.org/10.1103/PhysRevB.8.5847
  28. D. W. Hahn and Y. H. Han, "Capacitance Aging Behavior of Acceptor-Doped $BaTiO_3$ under DC Electrical Field (in Korean)," J. Kor. Ceram. Soc., 46 219-23 (2009). https://doi.org/10.4191/KCERS.2009.46.2.219
  29. F. Alvarez, A. Alegria, and J. Colmenero, "Interconnection between Frequency-domain Havriliak-Negami and Time-domain Kohlrausch-williams-watts Relaxation Functions," Phys. Rev. B, 47 [1] 125 (1993). https://doi.org/10.1103/PhysRevB.47.125
  30. J. Medina, R. Prosmiti, P. Villarreal, G. Delgado-Barrio, and J. Aleman, "Frequency Domain Description of KohlRausch Response Through a Pair of Havriliak-Negami-type Functions: An Analysis of Functional Proximity," Phys. Rev. E, 84[6] 066703 (2011). https://doi.org/10.1103/PhysRevE.84.066703

Cited by

  1. A physicochemical mechanism of chemical gas sensors using an AC analysis vol.15, pp.23, 2013, https://doi.org/10.1039/c3cp44684k
  2. A Superior Description of AC Behavior in Polycrystalline Solid Electrolytes with Current-Constriction Effects vol.53, pp.2, 2016, https://doi.org/10.4191/kcers.2016.53.2.150
  3. Full Parametric Impedance Analysis of Photoelectrochemical Cells: Case of a TiO2 Photoanode vol.55, pp.3, 2018, https://doi.org/10.4191/kcers.2018.55.3.11
  4. Finite Element Analysis of Multi-Layer Ceramic Capacitors Improved Self-heating for High Reliability vol.22, pp.4, 2012, https://doi.org/10.1007/s42341-021-00317-0
  5. 압전재료의 기초 물성 측정 vol.34, pp.5, 2021, https://doi.org/10.4313/jkem.2021.34.5.301