Electrical impedance response of gamma irradiated gelatin based solid polymer electrolytes analyzed using a generalized calculus formalism

被引：8
作者：
Basu, Tania [1 ]
Giri, Abhra [1 ]
Tarafdar, Sujata [1 ]
Das, Shantanu [2 ]
机构：
[1] Jadavpur Univ, Dept Phys, Kolkata 700032, W Bengal, India
[2] Bhabha Atom Res Ctr, RCSDS Reactor Control Div Complex, Bombay 400085, Maharashtra, India
来源：
JOURNAL OF ELECTROANALYTICAL CHEMISTRY | 2015年 / 755卷
关键词：
Caputo fractional derivative; Solid electrolyte; Gamma irradiation; Memory kernel; Convolution; Adsorption-desorption; ANOMALOUS DIFFUSION; ELECTROCHEMICAL IMPEDANCE; ION-CONDUCTIVITY; DYNAMIC-SYSTEMS; FREQUENCY; ELECTRODES; EQUATIONS; FILMS;
D O I：
10.1016/j.jelechem.2015.07.017
中图分类号：
O65 [分析化学];
学科分类号：
070302 ; 081704 ;
摘要：
The electrical impedance response of gelatin based solid polymer electrolyte to gamma irradiation is investigated by impedance spectroscopy. An analysis based on Poisson-Nernst-Plank model, incorporating fractional time derivatives is carried out. A detailed derivation for anomalous impedance function is given. The model involves boundary conditions with convolution of the fractional time derivative of ion density and adsorption desorption relaxation kinetics. A fractional diffusion-drift equation is used to solve the bulk behavior of the mobile charges in the electrolyte. The complex adsorption-desorption process at the electrode-electrolyte interface produces an anomalous effect in the system. The model gives a good fit for the observed impedance data for this biopolymer based solid electrolyte in a wide range of frequencies. We have compared different parameters based upon this model for both irradiated and unirradiated samples. (C) 2015 Elsevier B.V. All rights reserved.
引用
收藏
页码：52 / 62
页数：11
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