Theory of anomalous diffusion impedance of realistic fractal electrode

Journal of Physical Chemistry C

Volumn 112, Issue 11, 2008, Pages 4019-4023

  Kant, Rama ^a   Kumar, Rajesh ^a   Yadav, Vivek K ^a  

^a UNIVERSITY OF DELHI   (India)

Author keywords

[No Author keywords available]

Indexed keywords

FRACTALS; METALLIZING; PHASE INTERFACES; POWER SPECTRUM; SEMICONDUCTOR DOPING; SPECTRUM ANALYSIS;

ANOMALOUS DIFFUSIONS; CHARGE TRANSFERS; CONSTANT PHASE ANGLE (CPA); DIFFUSION CONTROLLED; LENGTH SCALING; MORPHOLOGICAL PARAMETERS; POWER-LAW FUNCTIONS; SELF-AFFINE FRACTALS; WAVE NUMBERS;

FRACTAL DIMENSION;

EID: 47149114758     PISSN: 19327447     EISSN: 19327455     Source Type: Journal    
DOI: 10.1021/jp712066k     Document Type: Article

References (42)

1. Bard, A. J.; Faulkner, L. R. Electrochemical Methods: Fundamentals and Application; Wiley: New York, 1980.
2. Lasia, A. Modern Aspects of Electrochemistry, Conway, B. E., et al., Eds.; Kluwer Academic; New York, 1999; No. 32, p 143.
3. Macdonald, D. D. Electrochim. Acta 2006, 51, 1376.
4. Sapoval, B. Fractal electrodes, fractal membranes and fractal catalyst in Fractals and disordered systems; Bunde, A., Havlin, S., Eds.; Springer-Verlag: Heidelberg, Germany, 1996.
5. Kant, R. J. Phys. Chem. B 1997, 101, 3781.
6. Kant, R.; Rangarajan, S. K. J. Electroanal. Chem. 2003, 552, 141.
7. Kant, R.; Jha, S. K. J. Phys. Chem. C 2007, 111, 14041.
8. Jha, S. K.; Sangal, A.; Kant, R. J. Electroanal. Chem. 2008, doi: 10.1016/j.jelechem. 2007.12.014.
9. Warburg, E. Ann. Physik 1899, 67, 493.
10. De Gennes, P. G. C. R. Acad. Sci. Paris 1982, 295, 1061.
11. Pfeifer, P.; Avnir, D.; Farin, D. J. Stat. Phys. 1984, 36, 699.
12. Pfeifer, P.; Welz, U.; Wippermann, H. Chem. Phys. Lett. 1985, 113, 535.
13. Vanderabroucq, D.; Boccaro, A. C.; Roux, S. Europhys. Lett. 1995, 30, 209.
14. Gutfraind, R.; Sapoval, B. J. Phys I France 1993, 3, 1801.
15. Rangarajan, S. K. J. Electroanal. Chem. 1969, 22, 89.
16. Sapoval, B.; Chazalviel, J. N.; Peyriere, J. Phys. Rev. A 1988, 38, 5867.
17. Nyikos, L.; Pajkossy, T. Electrochim. Acta 1986, 31, 1347.
18. Pajkossy, T.; Nyikos, L. Electrochim. Acta 1989, 34, 171.
19. Kant, R. Phys. Rev. Lett. 1993, 70, 4094.
20. Kant, R. J. Phys. Chem. 1994, 95, 1663.
21. Kant, R.; Rangarajan, S. K. J. Electroanal. Chem. 1994, 368, 1.
22. Kant, R.; Rangarajan, S. K. J. Electroanal. Chem. 1995, 396, 285.
23. Nyikos, L.; Pajkossy, T. Electrochim. Acta 1990, 35, 1567 and references therein.
24. Pajkossy, T. J. Electroanal. Chem. 1991, 300, 1 and references therein.
25. De Levie, R. J. Electroanal. Chem. 1990, 281, 1 and references therein.
26. Bisquert, J.; Compte, A. J. Electroanal. Chem. 2001, 499, 112.
27. Go, J.-Y.; Pyun, S.-I. J Solid State Electrochem 2007, 11, 323.
28. Halsey, T. C.; Leibig, M. Ann. Phys. (NY) 1992, 219, 109;
29. Europhys. Lett. 1991, 14, 815 and references therein.
30. Mulder, W. H.; Sluyters, J. H. Electrochim. Acta 1988, 33, 303.
31. Ball, R.; Blunt, M. J. Phys. A: Math. Gen. 1988, 21, 197 and references therein.
32. Kerner, Z.; Pajkossy, T. J. Electroanal. Chem. 1998, 448, 139.
33. Fleig, J.; Maier, J. Solid State Ionics 1997, 94, 199.
34. Feder, J. Fractals; Plenum: New York 1988.
35. Sayles, R. S.; Thomas, T. R. Nature 1978, 271, 431;
36. 1978, 273, 573.
37. William, J. M.; Beebe, T. P., Jr. J. Phys. Chem. 1993, 97, 6249.
38. Maritan, A.; Stella, A. L.; Toigo, F. Phys. Rev. B 1989, 40, 9269.
39. Palasantzas, G. Surf. Sci. 2005, 582, 151.
40. Berry, M. V. J. Phys. A: Math. Gen. 1979, 12, 781.
41. Yordanov, O. I.; Atanasov, I. S. Euro Phys. J. B 2002, 29, 211.
42. Handbook of Mathematical Functions; Abramowitz, M., Stegan, A., Eds.; Dover Publications Inc.: New York, 1972.