The role of charge separation in the response of electrochemical systems

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 454, Issue 1975, 1998, Pages 1805-1829

  Baker, Daniel R ^a   Verbrugge, Mark W ^a  

^a GENERAL MOTORS CORPORATION   (United States)

Author keywords

Debye layer; Electrocapillary equation; Matched asymptotics; Singular perturbation; Surface charge density

Indexed keywords

EID: 20344380643     PISSN: 13645021     EISSN: None     Source Type: Journal    
DOI: 10.1098/rspa.1998.0233     Document Type: Article

References (42)

1. Aris, R. 1962 Vectors, tensors, and the basic equations of fluid mechanics, p.169. Englewood Cliffs, NJ: Prentice-Hall.
2. Bard, A. J. & Faulkner, L. R. 1980 Electrochemical methods. New York: Wiley.
3. Bender, C. M. & Orszag, S. A. 1978 Advanced mathematical methods for scientists and engineers. New York: McGraw-Hill.
4. Carslaw, H. S. & Jaeger, J. C. 1959 Conduction of heat in solids, 2nd edn, pp. 10-11. Oxford University Press.
5. Chazalviel, J.-N. 1990 Phys. Rev. A 90, 7355.
6. Conway, B. E. 1991 J. Electrochem. Soc. 138, 1539.
7. Delahay, P. 1965 Double layer and electrode kinetics. New York: Wiley.
8. Énge'lgardt, G. R. & Krylov, V. S. 1978 Elektrokhimiya 14, 609.
9. Fedkiw, P. S. & Her, W.-H. 1989 J. Electrochem. Soc. 136, 899.
10. Fleischmann, M., Pons, S., Rolison, D. & Schmidt, P. 1987 Ultramicroelectrodes. Morganton, NC: Datatech Science.
11. Grigin, A. P. 1992 Elektrokhimiya 28, 307.
12. Ives, D. J. G. & Janz, G. J. 1961 Reference electrodes, theory and practice, p. 506. New York: Academic.
13. Kinoshita, K. 1982 Small-particle effects and structural considerations for electrocatalysis. In Modern aspects of electrochemistry, vol. 14. New York: Plenum.
14. Kinoshita, K. & Stonehart, P. 1977 Preparation and characterization of highly dispersed electrocatalytic materials. In Modern aspects of electrochemistry, vol. 12. New York: Plenum.
15. Liu, Z., Yao, Q. & Liu, L. 1993 J. Power Sources 45, 15.
16. Moon, P. & Spencer, D. E. 1971 Field theory handbook, 2nd edn. Berlin: Springer.
17. Mukerjee, S. 1990 Particle size and structural effects in platinum electrocatalysis. J. Appl. Electrochem. 20, 537.
18. Murphy, W. D., Manzanares, J. A., Mafé, S. & Reiss, H. 1992 J. Phys. Chem. 96, 9983.
19. Newman, J. 1966 J. Electrochem. Soc. 113, 1235.
20. Newman, J. 1991 Electrochemical systems, 2nd edn. Englewood Cliffs, NJ: Prentice-Hall.
21. Noda, T., Kato, S., Yoshihisa, Y., Takeuchi, K. & Murata, K. 1993 J. Power Sources 43-44, 89.
22. Norton, J. D., White, H. S. & Feldberg, S. W. 1990 J. Phys. Chem. 94, 6772.
23. Penner, R. M., Heben, M. J., Longin, T. L. & Lewis, N. S. 1990 Science 250, 1118.
24. Rudge, A., Davey, J., Raistrick, L, Gottesfeld, S. & Ferraris, J. P. 1994 J. Power Sources 47, 89.
25. Sarangapani, S., Forchione, J., Griffith, A. & LaConti, A. B. 1991 J. Power Sources 36, 341.
26. Shimazu, K., Uosaki, K., Kita, H. & Nodasaka, Y. 1988 J. Electroanalyt. Chem. 256, 481.
27. Smith, C. P. & White, H. W. 1993 Analyt. Chem. 93 3343.
28. Smyrl, W. H. & Newman, J. 1967 Trans. Faraday Soc. 63, 207.
29. Srinivasan, S., Manko, D. J., Koch, H., Enayetullah, M. A. & Appleby, A. J. 1990 J. Power Sources 29, 367.
30. Takehara, Z. Ogumi, Z., Uchimoto, Y., Endo, E. & Kanamori, Y. 1991 J. Electrochem. Soc. 138, 1574.
31. Taylor, E. J., Anderson, E. B. & Vilambi, N. R. K. 1992 J. Electrochem. Soc. 139, L45. (See also 1992 High utilization supported catalytic metal-containing gas-diffusion electrode, process for making it, and cells utilizing it. US Patent 5084144.)
32. Verbrugge, M. W. 1992 J. Electrochem. Soc. 139, 3529.
33. Verbrugge, M. W. 1994 J. Electrochem. Soc. 141, 46.
34. Verbrugge, M. W. 1995 J. Electrostatics 34, 61.
35. Verbrugge, M. W. & Baker, D. R. 1992 J. Phys. Chem. 96, 4572.
36. Verbrugge, M. W. & Gu, II. 1994 Topics in electrochemical engineering, Proc. of the Douglas N. Bennion Memorial Symp. (ed. J. Newman & R. E. White) vol. PV 94-22, p. 153. Pennington, NJ: The Electrochemical Society
37. Verbrugge, M. W. &: Koch, B. J. 1994 J. Electrochem. Soc. 141, 3053.
38. Verbrugge, M. W., Baker, D. R. & Newman, J. 1993 Electrochim. Acta 38, 1649.
39. Wightman, R. M. 1981 Microvoltammetric electrodes. Analyt. Chem. A 53, 1125.
40. Wightman, R. M. & Wipf, D. O. 1989 Voltammetry at ultramicroelectrodes. In Electroanalytical chemistry (ed. A. J. Bard), vol. 15, p. 267.
41. Wilson, M. S. & Gottesfeld, S. 1992a J. Electrochem. Soc. 139, L28.
42. Wilson, M. S. & Gottesfeld, S. 19926 J. Appl. Electrochem. 22, 1.