An exponentially expanding mesh ideally suited to the fast and efficient simulation of diffusion processes at microdisc electrodes. 3. Application to voltammetry.

被引:54
作者
Gavaghan, DJ
机构
[1] Univ Oxford, Comp Lab, Oxford OX1 3QD, England
[2] Univ Oxford, Radcliffe Infirm, Nuffield Dept Anaesthet, Oxford OX2 6HE, England
基金
英国惠康基金; 英国医学研究理事会;
关键词
ADI; FIRM; linear sweep voltammetry; microdisc electrodes;
D O I
10.1016/S0022-0728(98)00233-2
中图分类号
O65 [分析化学];
学科分类号
070302 ; 081704 ;
摘要
In the first paper in this series we derived an exponentially expanding mesh designed specifically to give a fast, efficient solution to the problem of simulation of diffusion processes at microdisc electrodes to a pre-determined level of accuracy. In this paper we make use of this mesh to consider the problem of linear sweep voltammetry and show that for the simulated values of the peak current for a fully reversible reaction we can obtain agreement with previous analytic results to within 0.25% at all parameter values of interest. We go on to consider irreversible and quasi-reversible systems, and demonstrate good qualitative agreement with previously described numerical and analytical results. We again make use of the FIRM and the ADI finite difference methods, and discuss when each of these methods is most appropriate. (C) 1998 Elsevier Science S.A. All rights reserved.
引用
收藏
页码:25 / 35
页数:11
相关论文
共 34 条
[11]   THE BEHAVIOR OF MICRODISK AND MICRORING ELECTRODES - MASS-TRANSPORT TO THE DISK IN THE UNSTEADY STATE - CHRONOAMPEROMETRY [J].
FLEISCHMANN, M ;
DASCHBACH, J ;
PONS, S .
JOURNAL OF ELECTROANALYTICAL CHEMISTRY, 1988, 250 (02) :269-276
[12]   2-DIMENSIONAL IMPLEMENTATION OF THE FINITE-ELEMENT METHOD WITH SINGULARITY CORRECTION FOR DIFFUSION-LIMITED CURRENT AT AN UNSHIELDED DISC ELECTRODE [J].
GALCERAN, J ;
GAVAGHAN, DJ ;
ROLLETT, JS .
JOURNAL OF ELECTROANALYTICAL CHEMISTRY, 1995, 394 (1-2) :17-28
[13]   An exponentially expanding mesh ideally suited to the fast and efficient simulation of diffusion processes at microdisc electrodes. 1. Derivation of the mesh [J].
Gavaghan, DJ .
JOURNAL OF ELECTROANALYTICAL CHEMISTRY, 1998, 456 (1-2) :1-12
[15]   How accurate is your two-dimensional numerical simulation? .1. An introduction [J].
Gavaghan, DJ .
JOURNAL OF ELECTROANALYTICAL CHEMISTRY, 1997, 420 (1-2) :147-158
[16]   CORRECTION OF BOUNDARY SINGULARITIES IN NUMERICAL-SIMULATION OF TIME-DEPENDENT DIFFUSION-PROCESSES AT UNSHIELDED DISK ELECTRODES [J].
GAVAGHAN, DJ ;
ROLLETT, JS .
JOURNAL OF ELECTROANALYTICAL CHEMISTRY, 1990, 295 (1-2) :1-14
[17]   THE DEVELOPMENT OF NEW MICROELECTRODE GAS SENSORS - AN ODYSSEY .2. O-2 AND CO2 REDUCTION AT MEMBRANE-COVERED GOLD MICRODISK ELECTRODES [J].
HAHN, CEW ;
MCPEAK, H ;
BOND, AM .
JOURNAL OF ELECTROANALYTICAL CHEMISTRY, 1995, 393 (1-2) :69-74
[18]   DIFFUSION-PROCESSES AT FINITE (MICRO) DISK ELECTRODES SOLVED BY DIGITAL-SIMULATION [J].
HEINZE, J .
JOURNAL OF ELECTROANALYTICAL CHEMISTRY, 1981, 124 (1-2) :73-86
[19]   ELECTROCHEMISTRY AT ULTRAMICROELECTRODES - SIMULATION OF HETEROGENEOUS AND HOMOGENEOUS KINETICS BY AN IMPROVED ADI - TECHNIQUE [J].
HEINZE, J ;
STORZBACH, M .
BERICHTE DER BUNSEN-GESELLSCHAFT-PHYSICAL CHEMISTRY CHEMICAL PHYSICS, 1986, 90 (11) :1043-1048
[20]  
MATSUDA H, 1955, Z ELEKTROCHEM, V59, P494