How well does simple RC circuit analysis describe diffuse double layer capacitance at smooth micro- and nanoelectrodes?

Journal of Electroanalytical Chemistry

Volumn 655, Issue 1, 2011, Pages 23-31

  Dickinson, Edmund J F ^a   Compton, Richard G ^a  

^a UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

Capacitive charging; Diffuse double layer; Electrochemical impedance spectroscopy; Nanoelectrode; Nernst Planck Poisson equations; RC circuit

Indexed keywords

CAPACITANCE; COMPUTER SIMULATION; ELECTRIC NETWORK ANALYSIS; ELECTROCHEMICAL CORROSION; ELECTROCHEMICAL ELECTRODES; POISSON EQUATION; SPECTRUM ANALYSIS;

CAPACITIVE CHARGING; DIFFUSE DOUBLE LAYER; ELECTROCHEMICAL IMPEDANCE; NANOELECTRODE; NERNST-PLANCK-POISSON EQUATIONS; RC CIRCUITS;

ELECTROCHEMICAL IMPEDANCE SPECTROSCOPY;

EID: 79953687650     PISSN: 15726657     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jelechem.2011.02.016     Document Type: Article

References (21)

1. O. Stern Z. Elektrochem. 30 1924 508 516
2. D.C. Grahame Chem. Rev. 41 1947 441 501
3. cap(t)), the applied potential E(t) is the potential difference associated with the voltage source. These are equivalent only when the current is zero. In the discussion hereafter, capacitance will be understood to refer to the circuit (and the physical system it represents) as a whole, and so E refers to the applied voltage. As shall be demonstrated, this circuit capacitance equals C at zero current.
4. W. Scheider J. Phys. Chem. 79 1975 127 136
5. R.D. Armstrong, and R.A. Burnham J. Electroanal. Chem. 72 1976 257 266
6. T.C. Halsey, and M. Leibig Ann. Phys. (San Diego) 219 1992 109 147
7. E.J.F. Dickinson, and R.G. Compton J. Phys. Chem. C 113 2009 17585 17589
8. M.C. Henstridge, E.J.F. Dickinson, and R.G. Compton Chem. Phys. Lett. 485 2010 167 170
9. R.J. Smith, and R.C. Dorf Circuits, Devices and Systems fifth ed. 1992 John Wiley & Sons New York
10. E. Barsoukov, J.R. Macdonald, Impedance Spectroscopy: Theory Experiment, and Applications 2005 John Wiley & Sons New York
11. A.J. Bard, and L.R. Faulkner Electrochemical Methods: Fundamentals and Applications 2nd ed. 2001 John Wiley & Sons New York
12. L.G. Gouy, and C.R. Hebd Séances Acad. Sci. 149 1909 654 657
13. L.G. Gouy J. Phys. Theor. Appl. 9 1910 457 467
14. D.L. Chapman Philos. Mag. 25 1913 475 481
15. M.Z. Bazant, K. Thornton, and A. Ajdari Phys. Rev. E 70 2004 021506
16. F. Beunis, F. Strubbe, M. Marescaux, J. Beeckman, K. Neyts, and A.R.M. Verschueren Phys. Rev. E 78 2008 011502
17. P. Debye, and H. Falkenhagen Phys. Z. 29 1928 121 132
18. The use of j for dimensionless current is standard in the voltammetric literature and is used here to emphasise the correlation between Faradaic and capacitive currents, and their relative magnitudes. We are conscious of the possible confusion with the imaginary unit j in other parts of the manuscript and its Supporting Information and therefore consistently "cap" as a subscript when current is being discussed.
19. We use the notation q with appropriate subscripts here for the charges on the electrode and in the solution in the double layer system, in order to emphasise the analogy with the charge q on the capacitor in the discussion of the RC circuit in Section 1.2.
20. A. Bezegh, and J. Janata J. Electroanal. Chem. 215 1986 139 149
21. A.A. Moya Electrochim. Acta 55 2010 2087 2092