Characterization of frequency dispersion in the impedance response of a distributed model from the mathematical properties of the distribution function of relaxation times

被引：15

作者：

Cordoba-Torres, Pedro ^{[1
]}

机构：

[1] UNED, Fac Ciencias, Dept Fis Matemat & Fluidos, Madrid 28040, Spain

来源：

ELECTROCHIMICA ACTA | 2015年 / 180卷

关键词：

Electrochemical impedance; Frequency dispersion; Constant-phase element; Distribution of relaxation times; Ideally-polarized electrode; GRAIN-SIZE DISTRIBUTIONS; PHASE ELEMENT BEHAVIOR; UNDERLYING DISTRIBUTIONS; CAPACITANCE DISPERSION; FRACTAL INTERFACES; ANION ADSORPTION; SPECTROSCOPY; ELECTRODES; DECONVOLUTION; ELECTROCHEMISTRY;

D O I：

10.1016/j.electacta.2015.08.140

中图分类号：

O646 [电化学、电解、磁化学];

学科分类号：

081704 ;

摘要：

Heterogeneity and disorder univocally leads to distortion phenomena in the immittance response of a system. The analysis of this response in terms of a distribution of relaxation times (DRT) has become an important topic of basic and applied research. In this work we theoretically and numerically study the impact of the mathematical properties of a distribution function of relaxation times (DFRT) on the frequency dispersion displayed by the immittance response of a distributed model for an ideal dielectric system such as an ideally-polarized electrode, paying special attention to constant-phase-element (CPE) behavior. The analysis of the problem encompasses both explicit and implicit results reported in the literature, and a number of new findings. It is shown, for instance, that CPE exponent is upper bounded by 1, as found in experiments. Conditions to be fulfilled by the DFRT in order to give frequency dispersion are revealed, and CPE behavior is related to scale invariance. The extent of this capacitance dispersion on the frequency spectrum of the response is also addressed for both infinite and finite systems. (C) 2015 Elsevier Ltd. All rights reserved.

引用

页码：591 / 603

页数：13

共 60 条

[21] Deconvolution and maximum entropy in impedance spectroscopy of noninductive systems [J].

Horlin, T .

SOLID STATE IONICS, 1998, 107 (3-4) :241-253

[22] The global and local impedance response of a blocking disk electrode with local constant-phase-element behavior [J].

Huang, Vicky Mei-Wen ;

Vivier, Vincent ;

Frateur, Isabelle ;

Orazem, Mark E. ;

Tribollet, Bernard .

JOURNAL OF THE ELECTROCHEMICAL SOCIETY, 2007, 154 (02) :C89-C98

[23] DISTRIBUTED CIRCUIT ELEMENTS IN IMPEDANCE SPECTROSCOPY - A UNIFIED TREATMENT OF CONDUCTIVE AND DIELECTRIC SYSTEMS [J].

HURT, RL ;

MACDONALD, JR .

SOLID STATE IONICS, 1986, 20 (02) :111-124

[24] IMPEDANCE OF FRACTAL INTERFACES - NEW DATA ON THE VONKOCH MODEL [J].

KEDDAM, M ;

TAKENOUTI, H .

ELECTROCHIMICA ACTA, 1988, 33 (03) :445-448

[25] Impedance of rough capacitive electrodes: the role of surface disorder [J].

Kerner, Z ;

Pajkossy, T .

JOURNAL OF ELECTROANALYTICAL CHEMISTRY, 1998, 448 (01) :139-142

[26] Measurement of adsorption rates of anions on Au(111) electrodes by impedance spectroscopy [J].

Kerner, Z ;

Pajkossy, T .

ELECTROCHIMICA ACTA, 2002, 47 (13-14) :2055-2063

[27] On the origin of capacitance dispersion of rough electrodes [J].

Kerner, Z ;

Pajkossy, T .

ELECTROCHIMICA ACTA, 2000, 46 (2-3) :207-211

[28] FREQUENCY DISPERSION ASSOCIATED WITH A NONHOMOGENEOUS INTERFACIAL CAPACITANCE [J].

KURTYKA, B ;

DELEVIE, R .

JOURNAL OF ELECTROANALYTICAL CHEMISTRY, 1992, 322 (1-2) :63-77

[29] A Connection Between Anomalous Poisson-Nernst-Planck Model and Equivalent Circuits with Constant Phase Elements [J].

Lenzi, E. K. ;

de Paula, J. L. ;

Silva, F. R. G. B. ;

Evangelista, L. R. .

JOURNAL OF PHYSICAL CHEMISTRY C, 2013, 117 (45) :23685-23690

[30] AC RESPONSE OF FRACTAL INTERFACES [J].

LIU, SH ;

KAPLAN, T ;

GRAY, LJ .

SOLID STATE IONICS, 1986, 18-9 :65-71

← 1 2 3 4 5 6 →