General theory of arbitrary potential sweep methods on an arbitrary topography electrode and its application to random surface roughness

Journal of Physical Chemistry C

Volumn 114, Issue 24, 2010, Pages 10894-10900

  Kant, Rama ^a  

^a UNIVERSITY OF DELHI   (India)

Author keywords

[No Author keywords available]

Indexed keywords

ARBITRARY POTENTIALS; ARBITRARY TOPOGRAPHY; BOUNDARY CONSTRAINTS; CONVOLUTION INTEGRALS; CURRENT EXPRESSION; DIFFUSION LIMITED; GENERAL THEORY; LINEAR-SCAN VOLTAMMETRY; MATHEMATICAL FUNCTIONS; MATHEMATICAL STRUCTURE; NANO-STRUCTURED; POTENTIAL CONTROLLED; POTENTIOSTATIC CURRENT TRANSIENTS; QUANTITATIVE DESCRIPTION; RANDOM SURFACES; ROUGH ELECTRODES; STATISTICAL PROPERTIES; STOCHASTIC SURFACES; TIME DERIVATIVE; VOLTAMMETRIC MEASUREMENTS;

BIOELECTRIC PHENOMENA; ELECTROCHEMICAL ELECTRODES; FRACTALS; FUNCTIONS; SURFACE PROPERTIES; SURFACE ROUGHNESS; TOPOGRAPHY;

CYCLIC VOLTAMMETRY;

EID: 77953763409     PISSN: 19327447     EISSN: 19327455     Source Type: Journal    
DOI: 10.1021/jp1022339     Document Type: Article

References (78)

1. Go, J.-Y.; Pyun, S.-I. J. Solid State Electrochem. 2007, 11, 323 and references therein
2. Jung, K.-N.; Pyun, S.-Il. Electrochim. Acta 2007, 52, 2009
3. Go, J. Y.; Pyun, S.-Il.; Hahn, Y.-D. J. Electroanal. Chem. 2003, 549, 49
4. Shin, H.-C.; Pyun, S.-Il. Electrochim. Acta 2001, 46, 2477
5. Andrieux, C. P.; Audebert, P. J. Phys. Chem. B 2001, 105, 444
6. Zuo, X.; Xu, C.; Xin, H. Electrochim. Acta 1997, 42, 2555
7. Ocon, P.; Herrasti, P.; Vázquez, L.; Salvarezza, R. C.; Vara, J. M.; Arvia, A. J. J. Electroanal. Chem. 1991, 319, 101
8. Dassas, Y.; Duby, P. J. Electrochem. Soc. 1995, 142, 4175
9. De Levie, R. J. Electroanal. Chem. 1990, 281, 1 and references therein
10. Pajkossy, T.; Nyikos, L. Electrochim. Acta 1989, 34, 171
11. Pajkossy, T. J. Electroanal. Chem. 1991, 300, 1
12. Kant, R.; Rangarajan, S. K. J. Electroanal. Chem. 1994, 368, 1
13. Ocon, P.; Herrasti, P.; V'azquez, L.; Salvarezza, R. C.; Vara, J. M.; Arvia, A. J. J. Electroanal. Chem. 1991, 319, 101
14. Imre, A.; Pajkossy, T.; Nyikos, L. Acta Metall. Mater. 1992, 40, 1819
15. Go, J.-Y.; Pyun, S.-I. Electrochim. Acta 2004, 49, 2551
16. Jha, S. K.; Sangal, A.; Kant, R. J. Electroanal. Chem. 2008, 615, 180
17. Kant, R.; Jha, S. K. J. Phys. Chem. C 2007, 111, 14040
18. Srivastav, S.; Kant, R. J. Phys. Chem. C 2010, doi: 10.1021/jp102708w.
19. Záliš, S.; Pospíšil, L.; Fanelli, N. J. Electroanal. Chem. 1993, 349, 443
20. Pajkossy, T.; Nyikos, L. Electrochim. Acta 1989, 34, 181
21. Stromme, M.; Niklasson, G. A.; Granqvist, C. G. Phys. Rev. B 1995, 52, 14192
22. Stromme, M.; Niklasson, G. A.; Granqvist, C. G. Solid State Commun. 1995, 96, 151
23. Go, J.-Y.; Pyun, S.-I.; Hahn, Y.-D. J. Electroanal. Chem. 2003, 549, 49
24. Menshykau, D.; Streeter, I.; Compton, R. G. J. Phys. Chem. C 2008, 112, 14428
25. Nyikos, L.; Pajkossy, T. Elecrochim. Acta 1990, 35, 1567
26. Kant, R.; Rangarajan, S. K. J. Electroanal. Chem. 2003, 552, 141
27. Kant, R.; Kumar, R.; Yadav, V. K. J. Phys. Chem. C 2008, 112, 4019
28. Palasantzas, G. Surf. Sci. 2005, 582, 151
29. Pajkossy, T.; Nyikos, L. Phys. Rev. B 1990, 42, 709
30. Mandelbrot, B. B. The Fractal Geometry of Nature; Freeman: San Francisco, CA, 1977.
31. Feder, J. Fractals; Plenum: New York, 1988.
32. Pfeifer, P.; Avnir, D. J. Chem. Phys. 1983, 79, 3558
33. Avnir, D.; Farin, D.; Pfeifer, P. J. Chem. Phys. 1983, 79, 3566
34. Zaiser, M.; Grasset, F. M.; Koutsos, V.; Aifantis, E. C. Phys. Rev. Lett. 2004, 93, 195507
35. Osborne, A. R.; Pastorello, A. Phys. Lett. A 1993, 181, 159
36. Kant, R. Phys. Rev. E 1996, 53, 5749
37. William, J. M.; Beebe, T. P., Jr. J. Phys. Chem. 1993, 97, 6249
38. Yordanov, O. I.; Nickolaev, N. I. Phys. Rev. E 1994, 49, R2517
39. Sayles, R. S.; Thomas, T. R. Nature 1978, 271, 431
40. Sayles, R. S.; Thomas, T. R. Nature 1978, 273, 573
41. Yordanov, O. I.; Atanasov, I. S. Eur. Phys. J. B 2002, 29, 211
42. De Gennes, P. G. C. R. Acad. Sci., Ser. II 1982, 295, 1061
43. Maritan, A.; Stella, A. L.; Toigo, F. Phys. Rev. B 1989, 40, 9269
44. Giocometti, A.; Maritan, A. J. Phys. (Paris) 1990, 51, 1358
45. Krim, J.; Heyvaret, I.; Van Haesendonck, C.; Bruynseraede, Y. Phys. Rev. Lett. 1993, 70, 57
46. Nyikos, L.; Pajkossy, T. Electrochim. Acta 1986, 31, 1347
47. Borosy, A. P.; Nyikos, L.; Pajkossy, T. Electrochim. Acta 1991, 36, 163
48. Kopelman, R. J. Stat. Phys. 1986, 42, 185
49. Kopelman, R. Science 1988, 241, 1620
50. Ball, R.; Blunt, M. J. Phys. A: Math. Gen. 1988, 21, 197
51. Sapoval, B.; Gutfraind, R.; Meakin, P.; Keddam, M.; Takenouti, H. Phys. Rev. E 1993, 48, 3333
52. Halsey, T. C.; Leibig, M. Ann. Phys. 1992, 219, 109
53. Nigmatullin, R. R. Phys. Status Solidi B 1986, 133, 425
54. Mainardi, F. Appl. Math. Lett. 1996, 9, 23
55. Mirceski, V.; Tomovski, Z. J. Phys. Chem. B 2009, 113, 2794
56. Bard, A. J.; Faulkner, L. R. Electrochemical Methods: Fundamentals and Application; Wiley: New York, 1980.
57. Mulder, W. H.; Sluyters, J. H. Electrochim. Acta 1988, 33, 303
58. Kant, R. J. Phys. Chem. 1994, 98, 1663
59. Kant, R. Phys. Rev. Lett. 1993, 70, 4094
60. Kant, R. J. Phys. Chem. B 1997, 101, 3781
61. Phillips, G. G.; Jansons, K. M. Proc. R. Soc. London, Ser. A 1990, 428, 431
62. Oldham, K. B. J. Electroanal. Chem. 1991, 297, 317
63. Kant, R.; Rangarajan, S. K. J. Electroanal. Chem. 1995, 396, 285
64. Kumar, R.; Kant, R. J. Phys. Chem. C 2009, 113, 19558
65. Jha, S. K.; Kant, R. J. Electroanal. Chem. 2010, 641, 78
66. Barton, G. Elements of Green's Function and Propagation: Potentials, Diffusion, and Waves; Clarendon Press: Oxford, U.K., 1991.
67. Carslaw, H. S.; Jaeger, J. C. Conduction of Heat in Solids, 2nd ed.; Clarendon Press: Oxford, U.K., 1959.
68. Chirea, M.; Borges, J.; Pereira, C. M.; Silva, A. F. J. Phys. Chem. C 2010, doi: 10.1021/jp912231s.
69. Frisch, U. In In Probabilistic Methods in Applied Mathematics; Bharucha-Reid, A. T., Ed.; Academic Press: New York, 1968; Vol. 1.
70. Sobczyk, K. Stochastic Wave Propagation; Elsevier: Amsterdam, The Netherlands, 1985.
71. Adler, R. J. The Geometry of Random Fields; John Wiley & Sons: New York, 1981.
72. Pughachev, V. S. Theory of Random Functions and Its Applications to Control Problems; Pergamon Press: Oxford, U.K., 1965.
73. Abramowitz, M.; Stegan, A., Eds. Handbook of Mathematical Functions; Dover Publications Inc.: New York, 1972.
74. Jones, S. E. W.; Chevallier, F. G.; Paddon, C. A.; Compton, R. G. Anal. Chem. 2007, 79, 4110
75. Streeter, I.; Compton, R. G. J. Phys. Chem. C 2007, 111, 18049
76. Streeter, I.; Compton, R. G. J. Phys. Chem. C 2007, 111, 15053
77. Nicholson, R. S.; Shain, I. Anal. Chem. 1964, 36, 706
78. Cope, D. K.; Tallman, D. E. J. Electroanal. Chem. 1991, 303, 1