Charge Percolation in Electroactive Polymers

  • Michael E. G. Lyons
Chapter

Abstract

Electroactive polymer films have attracted considerable attention in the electrochemical community in recent years due largely to the wide range of possible applications of these materials in electrocatalysis, molecular electronics, chemical and biosensor technologies, energy conversion and storage, and as media for controlled drug release.

Keywords

Polymer Film Electrochemical Quartz Crystal Microbalance Electroactive Polymer Redox Site Redox Polymer 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1(a).
    R. W. Murray, in Electroanalytical Chemistry, vol. 13 (A. J. Bard, ed.) (Marcel Dekker, New York, 1984 ), pp. 191–368.Google Scholar
  2. (b).
    R. W. Murray, Annu. Rev. Mater. Sci. 14, 145 (1984).CrossRefGoogle Scholar
  3. (c).
    R. W. Murray, Acc. Chem. Res. 13, 135 (1980).CrossRefGoogle Scholar
  4. 2.
    W. J. Albery and A. R. Hillman, in Ann. Rept. Progr. Chem., Section C 78, 377 (1981).Google Scholar
  5. 3.
    A. R. Hillman, in Electrochemical Science and Technology of Polymers, vol. 1 (R. G. Linford, ed.) (Elsevier, Amsterdam, 1987), pp. 103–239, 241–91.Google Scholar
  6. 4.
    a) H. D. Abruna, Coord. Ch. Re. 86, 135 (1988)CrossRefGoogle Scholar
  7. (b).
    H. D. Abruna, in Electroresponsive Molecular and Polymeric Systems, vol. 1 ( T. A. Skotheim, ed.) ( Marcel Dekker, New York, 1988 ), pp. 98–160.Google Scholar
  8. 5.
    G. P. Evans, in Advances in Electrochemical Science and Engineering, vol. 1 (H. Gerisher and C. W. Tobias, eds.) ( VCH, Verlag, Weinheim, Germany, 1990 ), pp. 1–74.Google Scholar
  9. 6.
    W. H. Smyrl and M. Lien, in Applications of Electroactive Polymers ( B. Scrosati, ed.) ( Chapman and Hall, London, 1993 ), pp. 29–74.CrossRefGoogle Scholar
  10. 7.
    R. B. Kaner, in Electrochemical Science and Technology of Polymers, vol. 2 ( R. G. Linford, ed.) (Elsevier, London, 1990 ), pp. 97–147.Google Scholar
  11. 8.
    R. A. Pethrick, in Electrochemical Science and Technology of Polymers, vol. 2 ( R. G. Linford, ed.) (Elsevier, London, 1990 ), pp. 149–99.Google Scholar
  12. 9.
    M. E. G. Lyons, Ann. Rep. C. R. Soc. Chem. 87, 119 (1990).CrossRefGoogle Scholar
  13. 10.
    R. W. Murray, ed., Molecular Design of Electrode Surfaces, Techniques of Chemistry Series, vol. 22 ( Wiley Interscience, New York, 1992 ).Google Scholar
  14. 11.
    M. Majda, in Molecular Design of Electrode Surfaces (R. W. Murray, ed.), Techniques of Chemistry Series, vol. 22 (Wiley Interscience, New York, 1992), Chap. 4, pp. 159–206.Google Scholar
  15. 12.
    N. Oyama and T. Ohsaka, in Molecular Design of Electrode Surfaces (R. W. Murray, ed.), Techniques of Chemistry Series, vol. 22, (Wiley Interscience, New York, 1992), chap. 8, pp. 333–402. This reference contains a wealth of experimental data on ionic diffusion coefficients in electroactive polymers.Google Scholar
  16. 13.
    R. W. Murray, in Molecular Design of Electrode Surfaces, (R. W. Murray, ed.), Techniques of Chemistry Series, vol. 22 (Wiley Interscience, New York, 1992), chap 1, pp. 1–48.Google Scholar
  17. 14.
    C. P. Andrieux and J. M. Savéant, in Molecular Design of Electrode Surfaces, (R. W. Murray, ed.), Techniques of Chemistry Series, vol. 22 (Wiley Interscience, New York, 1992), chap. 5, pp. 207–70.Google Scholar
  18. 15.
    Charge Transfer in Polymeric Systems, Faraday Discuss. Chem. Soc. 88 1989. This volume considers both polymer ionics and modified electrodes based on electroactive polymers.Google Scholar
  19. 16.
    a) B. Scrosati, ed., Applications of Electroactive Polymers, ( Chapman and Hall, London, 1993 ).CrossRefGoogle Scholar
  20. (b).
    C. A. Vincent, in Electrochemical Science and Technology of Polymers, vol. 2 ( R. G. Linford, ed.) (Elsevier Applied Science, London, 1990 ), pp. 47–96.Google Scholar
  21. (c).
    R. G. Linford, in Applications of Electroactive Polymers (B. Scrosati, ed.), (Chapman and Hall, London, 1993) chap. 1, pp. 1–28.Google Scholar
  22. (d).
    J. R. Owen, in Electrochemical Science and Technology of Polymers, vol. 1 (R. G. Linford, ed.) ( Elsevier Applied Science, London, 1987 ), pp. 45–66.Google Scholar
  23. (e).
    J. R. MacCallum and C. A. Vincent, eds., Polymer Electrolyte Reviews, vol. 1, ( Elsevier, London, 1988 ).Google Scholar
  24. 17.
    E. F. Dalton, N. A. Surridge, J. C. Jernigan, K. O. Wilbourn, J. S. Facci, and R. W. Murray, Chem. Phys. 141, 143 (1990).CrossRefGoogle Scholar
  25. 18.
    a) C. M. Clear, J. M. Kelly, D. C. Pepper, and J. G. Vos, Mord. Chim. Acta. 33, L139 (1979).Google Scholar
  26. (b).
    C. M. Clear, J. M. Kelly, C. M. O’Connell, and J. G. Vos, J. Chem. Res. (M), 3037 (1981).Google Scholar
  27. 19.
    a) O. Haas and J. G. Vos., J. Electroanal. Chem. 113, 139 (1980).CrossRefGoogle Scholar
  28. (b).
    O. Haas, M. Kriens, and J. G. Vos, J. Am. Chem. Soc. 103, 1318 (1981).CrossRefGoogle Scholar
  29. (c).
    O. Haas, H. R. Zumbrunnen, and J. G. Vos, Electrochim. Acta. 30, 1551 (1985).CrossRefGoogle Scholar
  30. (d).
    S. M. Geraty and J. G. Vos, J. Electroanal. Chem. 176, 389 (1984); J. Chem. Soc. Dalton Trans. 30–37 (1987).Google Scholar
  31. (e).
    M. E. G. Lyons, H. G. Fay, J. G. Vos, and A. J. Kelly, J. Electroanal. Chem. 250, 207 (1988).CrossRefGoogle Scholar
  32. (f).
    R. J. Forster, A. J. Kelly, J. G. Vos, and M. E. G. Lyons, J. Electroanal. Chem. 270, 365 (1989).CrossRefGoogle Scholar
  33. (g).
    R. J. Forster and J. G. Vos, Macromols 23, 4372 (1990); J. Inorganic and Organometallic Polymers 1, 67 (1991).CrossRefGoogle Scholar
  34. (h).
    R. J. Forster and J. G. Vos, J. Electroanal. Chem. 314, 135 (1991); Electrochim. Acta. 37, 159 (1992).CrossRefGoogle Scholar
  35. (i).
    R. J. Forster, J. G. Vos, and M. E. G. Lyons, J. Chem. Soc. Faraday Trans. 87, 3761, 3769 (1991).CrossRefGoogle Scholar
  36. 20.
    A. P. Clarke and J. G. Vos, Trends in Electrochemistry 1, 167 (1992).Google Scholar
  37. 21.
    R. J. Gale, ed., Spectroelectrochemistry: Theory and Practice ( Plenum, New York, 1988 ).Google Scholar
  38. 22.
    H. Dahms, J. Phys. Chem. 72, 362 (1968).CrossRefGoogle Scholar
  39. 23.
    a) I. Ruff, V. J. Friedrich, K. Demeter, and K. Csillag, J. Phys. Chem. 75 3303 (1971).Google Scholar
  40. (b).
    I. Ruff and V. J. Friedrich, J. Phys. Chem. 75,3297 (1971).Google Scholar
  41. (c).
    I. Ruff, Electrochim. Acta. 15, 1059 (1970).CrossRefGoogle Scholar
  42. 24.
    a) F. B. Kaufmann and M. B. Engler, J. Am. Chem. Soc. 101, 547 (1979).CrossRefGoogle Scholar
  43. (b).
    F. B. Kaufmann, A. M. Schroeder, E. M. Engler, S. R. Kramer, and J. Q. Chambers, J. Am. Chem. Soc. 102, 483 (1980).CrossRefGoogle Scholar
  44. 25.
    C. P. Andrieux and J. M. Savéant, J. Electroanal. Chem. 111, 377 (1980).CrossRefGoogle Scholar
  45. 26.
    E. Laviron, J. Electroanal. Chem. 112, 1 (1980).CrossRefGoogle Scholar
  46. 27.
    I. Ruff and L. Botar, J. Chem. Phys. 83, 1292 (1985).CrossRefGoogle Scholar
  47. 28.
    L. Botar and I. Ruff, Chem. Phys. Lett. 126, 348 (1986).CrossRefGoogle Scholar
  48. 29.
    I. Fritsch—Faules and L. R. Faulkner, J. Electroanal. Chem. 263, 237 (1989).CrossRefGoogle Scholar
  49. 30.
    L. R. Faulkner, Electrochim. Acta. 34, 1699 (1989).CrossRefGoogle Scholar
  50. 31.
    S. W. Feldberg, J. Electroanal. Chem. 198, 1 (1986).CrossRefGoogle Scholar
  51. 32.
    S. Chandrasekhar, Rev. Mod. Phys. 15, 1 (1943).CrossRefGoogle Scholar
  52. 33.
    J. H. Noggle, Physical Chemistry, (Little Brown, Boston, 1985), chap. 9, pp. 430–39.Google Scholar
  53. 34.
    a) J. R. Miller, J. Chem. Phys. 56, 5173 (1972).CrossRefGoogle Scholar
  54. (b).
    J. R. Miller, Science 189, 221 (1975).CrossRefGoogle Scholar
  55. (c).
    J. V. Bietz and J. R. Miller, J. Chem. Phys. 71, 4579 (1979); 74, 6746 (1981).Google Scholar
  56. (d).
    J. R. Miller, K. W. Hartman, and S. Abrash, J. Am. Chem. Soc. 104, 4296 (1982).CrossRefGoogle Scholar
  57. (e).
    J. R. Miller, J. V. Beitz, and R. K. Huddleston, J. Am. Chem. Soc. 106, 5057 (1984).CrossRefGoogle Scholar
  58. (f).
    J. R. Miller, N. J. Chem. 11, 83 (1987).Google Scholar
  59. 35.
    a) J. H. Hopfield, Proc. Natl. Acad. Sci. (USA) 71, 3640 (1974).Google Scholar
  60. (b).
    J. J. Jortner, J. Chem. Phys. 64, 4860 (1976).CrossRefGoogle Scholar
  61. (c).
    B. Chance, D. DeVault, H. Frauenfelder, R. A. Marcus, J. R. Schrieffer, and N. Sutin, eds., Tunnelling in Biological Systems, ( Academic, New York, 1979 ).Google Scholar
  62. (d).
    S. J. Larsson, J. Chem. Soc. Faraday Trans. II. 79, 1375 (1983).CrossRefGoogle Scholar
  63. (e).
    A. A. S. daGamma, Theor. Chim. Acta. 68, 159 (1985).CrossRefGoogle Scholar
  64. 36.
    T. J. Lewis, Faraday Discuss. Chem. Soc. 88, 189 (1989).CrossRefGoogle Scholar
  65. 37.
    The literature on electron transfer in metalloproteins is extensive. For a list of pertinent references see Ref. 8 of the Fritsch—Faules/Faulkner paper (Ref. 29) and J. R. Bolton, N. Mataga, and G. McLendon, eds., Electron Transfer in Inorganic, Organic, and Biological Systems, Advances in Chemistry Series 228 (ACS, Washington, DC, 1991), especially chap. 5, pp. 71–90; chap. 12, pp. 191–200; chap. 13, pp. 201–14, and chap. 15, pp. 229–46.Google Scholar
  66. 38.
    a) J. S. Facci, R. H. Schmehl, and R. W. Murray, J. Am. Chem. Soc. 104, 4959 (1982).CrossRefGoogle Scholar
  67. (b).
    M. Majda and L. R. Faulkner, J. Electroanal. Chem. 169, 77 (1984).CrossRefGoogle Scholar
  68. 39.
    a) M. Majda and L. R. Faulkner, J. Electroanal. Chem. 137, 149 (1982).CrossRefGoogle Scholar
  69. (b).
    M. Majda and L. R. Faulkner, J. Electroanal. Chem. 169, 97 (1984).CrossRefGoogle Scholar
  70. 40.
    M. Sharp, B. Lindholm, and E. L. Lind, J. Electroanal. Chem. 274, 35 (1989).CrossRefGoogle Scholar
  71. 41.
    P. He and X. Chen, J. Electroanal. Chem. 256, 353 (1988).CrossRefGoogle Scholar
  72. 42.
    a) D. A. Buttry and F. C. Anson, J. Electroanal. Chem. 130, 333 (1982).Google Scholar
  73. (b).
    D. A. Buttry and F. C. Anson, J. Am. Chem. Soc. 105, 685 (1983).CrossRefGoogle Scholar
  74. 43.
    M. Von Smoluchowski, Z. Phys. Chem. 92, 129 (1917).Google Scholar
  75. 44.
    a) R. A. Marcus, J. Chem. Phys. 24, 966 (1956); 26, 867, 872 (1957); Can. J. Chem. 37, 155 (1959).CrossRefGoogle Scholar
  76. (b).
    R. A. Marcus, in Special Topics in Electrochemistry, (P. A. Rock, ed.), (Elsevier, New York, 1977), pp. 161, 180.Google Scholar
  77. (c).
    R. A. Marcus, Trans. N.Y. Acad. Sci. 19, 423 (1957).Google Scholar
  78. (d).
    R. A. Marcus, J. Phys. Chem. 67, 853 (1963).CrossRefGoogle Scholar
  79. (e).
    R. A. Marcus, Ann. Rev. Phys. Chem. 15, 155 (1964).CrossRefGoogle Scholar
  80. (f).
    R. A. Marcus, J. Chem. Phys. 43, 679 (1965).CrossRefGoogle Scholar
  81. (g).
    R. A. Marcus, Electrochim. Acta. 13, 997 (1968).Google Scholar
  82. (h).
    R. A. Marcus, J. Phys. Chem. 72, 891 (1968).CrossRefGoogle Scholar
  83. (i).
    R. A. Marcus, Int. J. Chem. Kinet. 13, 865 (1981).CrossRefGoogle Scholar
  84. (j).
    R. A. Marcus and N. Sutin, Inorg. Chem. 14, 213 (1975).CrossRefGoogle Scholar
  85. (k).
    R. A. Marcus, Faraday Discuss. Chem. Soc. 29, 21 (1960); 74, 7 (1982).Google Scholar
  86. 45.
    a) H. Heitele, Angew. Chem. Int. Ed. Engl. 32, 359 (1993).CrossRefGoogle Scholar
  87. (b).
    K. V. Mikkelsen and M. A. Ratner, Chem. Rev. 87, 113 (1987).CrossRefGoogle Scholar
  88. 46.
    J. R. Bolton and M. D. Archer, in Electron Transfer in Inorganic, Organic, and Biological Systems, (J. R. Bolton, N. Mataga, and G. McLendon, eds.), Advances in Chemistry Series 228, (ACS, Washington, DC, 1991), chap. 2, pp. 7–23.Google Scholar
  89. 47.
    a) R. A. Marcus and N. Sutin, Biochim. Biophys. Acta. 811, 265 (1985).CrossRefGoogle Scholar
  90. (b).
    R. A. Marcus and N. Sutin, Comments Inorg. Chem. 5, 119 (1986).CrossRefGoogle Scholar
  91. 48.
    a) M. J. Weaver, vol. 27, Electrode Kinetics: Reactions, chap. 1, pp. 1–60 and references therein, in Comprehensive Chemical Kinetics, ( R. G. Compton, ed.) Elsevier, Amsterdam, 1987 ).Google Scholar
  92. (b).
    J. T. Hupp and M. J. Weaver, J. Electroana1. Chem. 152, 1 (1983).CrossRefGoogle Scholar
  93. (c).
    J. T. Hupp and M. J. Weaver, J. Electroanal. Chem. 145, 43 (1983).CrossRefGoogle Scholar
  94. (d).
    J. T. Hupp and M. J. Weaver, J. Phys. Chem. 89, 2795 (1985).CrossRefGoogle Scholar
  95. (e).
    M. J. Weaver and G. E. McManis III, Acc. Chem. Res. 23, 294 (1990).CrossRefGoogle Scholar
  96. (f).
    M. J. Weaver, Chem. Rev. 92, 463 (1992).CrossRefGoogle Scholar
  97. 49.
    a) N. Sutin, Prog. Inorg. Chem. 30, 441 (1983).CrossRefGoogle Scholar
  98. (b).
    N. Sutin, in Electron Transfer in Inorganic, Organic, and Biological Systems, (J. R. Bolton, N. Mataga, and G. McLendon, eds.), Advances in Chemistry Series 228, (ACS, Washington, DC, 1991), chap. 3, pp. 25–43.Google Scholar
  99. (c).
    N. Sutin, Acc. Chem. Res. 15, 275 (1982).CrossRefGoogle Scholar
  100. 50.
    M. D. Newton and N. Sutin, Ann. Rev. Phys. Chem. 35, 437 (1984).CrossRefGoogle Scholar
  101. 51.
    a) W. J. Albery, Ann. Rev. Phys. Chem. 31, 227 (1980).CrossRefGoogle Scholar
  102. (b).
    W. J. Albery, Electrode Kinetics, ( Clarendon Press, Oxford, England 1975 ), pp. 92–124.Google Scholar
  103. 52.
    J. M. Savéant, J. Electroanal. Chem. 201, 211 (1986).CrossRefGoogle Scholar
  104. 53.
    J. M. Savéant, J. Electroanal. Chem. 238, 1 (1987).CrossRefGoogle Scholar
  105. 54.
    J. M. Savéant, J. Electroanal. Chem. 242, 1 (1988).CrossRefGoogle Scholar
  106. 55.
    J. M. Savéant, J. Phys. Chem. 92, 4526 (1988).CrossRefGoogle Scholar
  107. 56.
    J. M. Savéant, J. Phys. Chem. 92, 1011 (1988).CrossRefGoogle Scholar
  108. 57.
    C. P. Andrieux and J. M. Savéant, J. Phys. Chem. 92, 6761 (1988).CrossRefGoogle Scholar
  109. 58.
    R. P. Buck, J. Electroanal. Chem. 219, 23 (1987).CrossRefGoogle Scholar
  110. 59.
    a) R. P. Buck, J. Phys. Chem. 92, 4196 (1988). (b) R. P. Buck, J. Phys. Chem. 92, 6445 (1988).CrossRefGoogle Scholar
  111. (c).
    R. P. Buck, J. Electroanal. Chem. 243, 279 (1988).CrossRefGoogle Scholar
  112. 60.
    a) R. P. Buck, J. Electroanal. Chem. 258, 1 (1989).CrossRefGoogle Scholar
  113. (b).
    R. P. Buck, J. Phys. Chem. 93, 6212 (1989).CrossRefGoogle Scholar
  114. 61.
    C. J. Baldy, C. M. Elliott, and S. W. Feldberg, J. Electroanal. Chem. 283, 53 (1990).CrossRefGoogle Scholar
  115. 62.
    W. J. Albery, Z. Chen, B. R. Horrocks, A. R. Mount, P. J. Wilson, D. Bloor, A. T. Monkman, and C. M. Elliott, Faraday Discuss. Chem. Soc. 88, 247 (1989).Google Scholar
  116. 63.
    I. Rubenstein, E. Sabatani, and J. Rishpon, J. Electrochem. Soc. 134, 3078 (1987).CrossRefGoogle Scholar
  117. 64.
    R. P. Buck, J. Electroanal. Chem. 210, 1 (1986).CrossRefGoogle Scholar
  118. 65.
    W. J. Albery, C. M. Elliott, and A. R. Mount, J. Electroanal. Chem. 288, 15 (1990).CrossRefGoogle Scholar
  119. 66.
    W. J. Albery and A. R. Mount, J. Electroanal. Chem. 305, 3 (1991).CrossRefGoogle Scholar
  120. 67.
    W. J. Albery and A. R. Mount, J. Chem. Soc. Faraday Trans. 89, 327 (1993).CrossRefGoogle Scholar
  121. 68.
    S. Fletcher, J. ElectroanaL Chem. 337, 127 (1992).CrossRefGoogle Scholar
  122. 69.
    S. Fletcher, J. Chem. Soc. Faraday Trans. 89, 311 (1993).CrossRefGoogle Scholar
  123. 70.
    Th. M. Nieuwenhuizen and J. M. Luck, cited in Adv. Phys. 39, 191 (1990).CrossRefGoogle Scholar
  124. 71.
    A. Eisenberg, Macromols. 3, 147 (1970).CrossRefGoogle Scholar
  125. 72.
    K. A. Mauritz and A. J. Hopfinger, in Modern Aspects of Electrochemistry, (J. O’M. Bockris, B. E. Conway, and R. E. White, eds.), (Plenum, New York, 1982), vol. 16, pp. 425–508.Google Scholar
  126. 73.
    a) S. Roth and H. Bleier, Adv. Phys. 36, 385 (1987).CrossRefGoogle Scholar
  127. (b).
    S. Roth, H. Bleier, and W. Pukacki, Faraday Discuss. Chem. Soc. 88, 223 (1989).CrossRefGoogle Scholar
  128. 74.
    A. J. Heeger, S. Kivelson, J. R. Schrieffer, and W. P. Su, Rev. Mod. Phys. 60, 781 (1988).CrossRefGoogle Scholar
  129. 75.
    W. P. Su, J. R. Schrieffer, and A. J. Heeger, Phys. Rev. B3 22, 2209 (1980); 28, 1138 (1983).Google Scholar
  130. 76.
    S. Kivelson and A. J. Epstein, Phys. Rev. B3 29, 336 (1984).Google Scholar
  131. 77.
    J. C. Scott, P. Pfluger, M. Krombi, and G. B. Street, Phys. Rev. B3 28, 40 (1983).Google Scholar
  132. 78.
    a) N. F. Mott, Conduction in Noncrystalline Materials ( Oxford University Press, Oxford, England, 1987 ), p. 28.Google Scholar
  133. (b).
    N. F. Mott and E. A. Davis, Electronic Processes in Noncrystalline Materials, 2d ed. (Clarendon Press, Oxford, England, 1979 ).Google Scholar
  134. 79.
    A. J. Epstein in Handbook of Conducting Polymers, vol. 2 (T. Skotheim, ed.) ( Marcel Dekker, New York, 1986 ), p. 1041.Google Scholar
  135. 80.
    R. Zallen, The Physics of Amorphous Solids (Wiley Interscience, New York, 1983), chap. 4, pp. 135–204.Google Scholar
  136. 81.
    D. Stauffer, Introduction to Percolation Theorey ( Taylor and Francis, London, 1985 ).CrossRefGoogle Scholar
  137. 82.
    D. Kim, H. Reiss, and H. M. Rabeony, J. Phys. Chem. 92, 2673 (1988).CrossRefGoogle Scholar
  138. 83.
    W. D. Murphy, H. M. Rabeony, and H. Reiss, J. Phys. Chem. 92, 7007 (1988).CrossRefGoogle Scholar
  139. 84.
    A. Prock and W. P. Giering, J. Phys. Chem. 93, 2192 (1989).CrossRefGoogle Scholar
  140. 85.
    A. Prock and W. P. Giering, J. Phys. Chem. 93, 8382 (1989).CrossRefGoogle Scholar
  141. 86.
    a) P. N. Bartlett and J. W. Gardner, Phil. Trans. R. Soc.,in press.Google Scholar
  142. b) J. W. Gardner and P. N. Bartlett, Synth. Met.,in press.Google Scholar
  143. 87.
    J. J. Hermans, J. Colloid Sci. 2, 387 (1947).CrossRefGoogle Scholar
  144. 88.
    H. S. Carlsaw and J. C. Jaeger, Conduction of Heat in Solids, ( Oxford University Press, Oxford, England 1959 ), p. 284.Google Scholar
  145. 89.
    a) J. L. Bredas and R. R. Chance, Phys. Rev. B3 26, 2886 (1982).CrossRefGoogle Scholar
  146. (b).
    J. L. Bredas, R. R. Change, and R. Silbey, Phys. Rev. B3 26, 5843 (1982).CrossRefGoogle Scholar
  147. (c).
    R. R. Chance, D. S. Boudreaux, J. F. Wolf, L. W. Shacklette, R. Silbey, B. Themans, J. M. Andre, and J. L. Bredas, Synth. Met. 15, 105 (1986).CrossRefGoogle Scholar
  148. 90.
    J. L. Bredas, B. Themans, J. M. Andre, R. R. Chance, D. S. Boudreaux, and R. Silbey, J. Phys. Colloq. C3, 44, 373 (1983).Google Scholar
  149. 91.
    A. R. Bishop, D. K. Campbell, and K. Fesser, Mol. Cryst. Liq. Cryst. 77, 253 (1980).CrossRefGoogle Scholar
  150. 92.
    S. Kivelson, Phys. Rev. B3 25, 3798 (1982).CrossRefGoogle Scholar
  151. 93.
    P. D. Townsend and R. H. Friend, Synth. Met. 28, 735 (1989); Phys. Rev. B3 40, 3112 (1989).CrossRefGoogle Scholar
  152. 94.
    R. R. Chance, J. L. Bredas, and R. Sibley, Phys. Rev. B3 29, 4491 (1984).CrossRefGoogle Scholar
  153. 95.
    R. H. Friend and J. H. Burroughs, Faraday Discuss. Chem. Soc. 88, 213 (1989).CrossRefGoogle Scholar
  154. 96.
    J. L. Bredas and G. B. Street, Acc. Chem. Res. 18, 309 (1985).CrossRefGoogle Scholar
  155. 97.
    a) J. L. Bredas, B. Themans, and J. M. Andre, Phys. Rev. B3 27, 7827 (1983).CrossRefGoogle Scholar
  156. (b).
    J. L. Bredas, B. Themans, J. G. Fripiat, J. M. Andre, and R. R. Change, Phys. Rev. B3 29, 6761 (1984).CrossRefGoogle Scholar
  157. 98.
    J. L. Bredas, Mol. Cryst. Liq. Cryst. 118, 49 (1985).CrossRefGoogle Scholar
  158. 99.
    D. S. Pearson, P. A. Pincus, G. W. Heffner, and S. J. Dahman, Macromol. 26, 1570 (1993).CrossRefGoogle Scholar
  159. 100.
    P. G. de Gennes, C.R. Acad. Sci. Paris, Ser. 2 302, 1 (1986).Google Scholar
  160. 101.
    H. S. Carslaw and J. C. Jaeger, Conduction of Heat in Solids,2d ed., (Oxford University Press, Oxford, England, 1959) chap. 14.Google Scholar
  161. 102.
    A. J. Heeger, Faraday Discuss. Chem. Soc. 88, 203 (1989).CrossRefGoogle Scholar
  162. 103.
    A. J. Heeger, S. Kivelson, J. R. Schrieffer and W. P. Su, Rev. Mod. Phys. 60, 781 (1988).CrossRefGoogle Scholar
  163. 104.
    S. Kivelson and A. J. Heeger, Synth. Met. 22, 371 (1988).CrossRefGoogle Scholar
  164. 105.
    J. Moulton and P. Smith, Synth. Met. 40, 13 (1991).CrossRefGoogle Scholar
  165. 106.
    S. Tokito, P. Smith, and A. J. Heeger, Polymer, J. 32, 464 (1991).Google Scholar
  166. 107.
    Y. Cao, P. Smith, and A. J. Heeger, Polymer J. 32, 1210 (1991).CrossRefGoogle Scholar
  167. 108.
    P. Pincus, G. Rossi, and M. E. Cates, Europhys. Lett. 4, 41 (1987).CrossRefGoogle Scholar
  168. 109.
    D. R. Spiegel, P. Pincus, and A. J. Heeger, Polym. Commun. 29, 264 (1988).Google Scholar
  169. 110.
    A. Viallat and P. A. Pincus, Polymer J. 30, 1997 (1989).CrossRefGoogle Scholar
  170. 111.
    a) K. Y. Jen, R. Oboodi, and R. L. Elsenbaumer, Polym. Mater. Sci. 53, 79 (1985).Google Scholar
  171. (b).
    M. Sato, S Tanaka, and K. Kaeriyama, Chem. Commun., 873 (1986).Google Scholar
  172. (c).
    A. O. Patil, Y. Ikenoue, N. Basescu, J. Chen, F. Wudl, and A. J. Heeger, Synth. Met. 20, 151 (1987).CrossRefGoogle Scholar
  173. (d).
    D. Spiegel and A. J. Heeger, Polym. Commun. 29, 266 (1988).Google Scholar
  174. 112.
    P. J. Flory, Statistical Mechanics of Chain Molecules ( Wiley Interscience, New York, 1969 ).Google Scholar
  175. 113(a).
    K. Aoki and Y. Tezuka, J. Electroanal. Chem. 267, 55 (1989).CrossRefGoogle Scholar
  176. (b).
    Y. Tezuka, K. Aoli, and K. Shinozaki, Synth. Met. 30, 369 (1989).CrossRefGoogle Scholar
  177. (c).
    Y. Tezuka and K. Aoki, J. Electroanal. Chem. 273, 161 (1989).CrossRefGoogle Scholar
  178. 114.
    a) K. Aoki, Y. Tezuka, K. Shinozaki, and H. Sato, J. Electrochem. Soc. Japan 57, 397 (1989).Google Scholar
  179. (b).
    K. Aoki, J. Electroana1. Chem. 292, 53 (1990).CrossRefGoogle Scholar
  180. 115.
    K. Aoki, J. Electroanal. Chem. 310, 1 (1991).CrossRefGoogle Scholar
  181. 116.
    K. Aoki, T. Aramoto, and Y. Hoshino, J. Electroanal. Chem. 340, 127 (1992).CrossRefGoogle Scholar
  182. 117.
    M. Kalaji, L. M. Peter, L. M. Abrautes, and J. C. Mesquita, J. Electroanal. Chem. 274, 289 (1989).CrossRefGoogle Scholar
  183. 118.
    A. Bunde and S. Havlin, eds., Fractals and Disordered Systems, ( Springer Verlag, Berlin, 1993 ).Google Scholar
  184. 119.
    A. B. Brown and F. C. Anson, Anal. Chem. 49, 1589 (1977).CrossRefGoogle Scholar
  185. 120.
    W. J. Albery, M. G. Boutelle, P. J. Colby, and A. R. Hillman, J. E1ectroana1. Chem. 133, 135 (1982).CrossRefGoogle Scholar
  186. 121.
    E. Laviron, J. Electroanal. Chem. 63, 245 (1975).CrossRefGoogle Scholar
  187. 122.
    H. Matsuda, K. Aoki, and K. Tokuda, J. Electroanal. Chem. 217, 1 (1987); 217, 15 (1987).Google Scholar
  188. 123.
    H. Daifuku, K. Aoki, K. Tokuda, and H. Matsuda, J. Electroanal Chem. 183, 1 (1985).CrossRefGoogle Scholar
  189. 124.
    C. E. D. Chidsey and R. W. Murray, J. Phys. Chem. 90, 1479 (1986).CrossRefGoogle Scholar
  190. 125.
    D. Ellis, M. Eckhoff, and V. D. Neff, J. Phys. Chem. 85, 1225 (1981).CrossRefGoogle Scholar
  191. 126.
    S. T. Coleman, W. R. McKinnon, and J. R. Dahn, Phys. Rev. B3 29, 4147 (1984).CrossRefGoogle Scholar
  192. 127.
    R. J. Gale, ed., Spectroelectrochemistry: Theory and Practice,(Plenum, New York 1988), and references contained therin.Google Scholar
  193. 128.
    D. A. Buttry and M. D. Ward, Chem. Rev. 92, 1355 (1992).CrossRefGoogle Scholar
  194. 129.
    J. H. Kaufman, K. K. Kanazawa, and G. B. Street, Phys. Rev. Lett. 53, 2461 (1984).CrossRefGoogle Scholar
  195. 130.
    S. Bruckenstein and M. Shay, J. Electroanal. Chem. 188, 131 (1985).CrossRefGoogle Scholar
  196. 131.
    S. Bruckenstein and S. Swathirajan, Electrochim. Acta. 30, 851 (1985).CrossRefGoogle Scholar
  197. 132.
    P. T. Varineau and D. A. Buttry, J. Phys. Chem. 91, 1292 (1987).CrossRefGoogle Scholar
  198. 133.
    D. Orata and D. A. Buttry, J. Am. Chem. Soc. 109, 3574 (1987).CrossRefGoogle Scholar
  199. 134.
    M. D. Ward, J. Phys. Chem. 92, 2049 (1988).CrossRefGoogle Scholar
  200. 135.
    A. R. Hillman, D. C. Loveday, M. J. Swann, R. M. Eales, A. Hamnett, S. J. Higgins, S. Bruckenstein, and C. P. Wilde, Faraday Discuss. Chem. Soc. 88, 151 (1989).CrossRefGoogle Scholar
  201. 136.
    A. R. Hillman, D. C. Loveday, S. Bruckenstein, and C. P. Wilde, J. Chem. Soc. Faraday Trans. 86, 437 (1990).CrossRefGoogle Scholar
  202. 137.
    G. Sauerbrey, Z. Phys. 155, 206 (1959).CrossRefGoogle Scholar
  203. 138.
    S. Bruckenstein and A. R. Hillman, J. Phys. Chem. 92, 4837 (1988).CrossRefGoogle Scholar
  204. 139.
    C. K. Baker and J. P. Reynolds, J. Electroanal. Chem. 251, 307 (1988).CrossRefGoogle Scholar
  205. 140.
    A. J. Kelly and N. Oyama, J. Phys. Chem. 95, 9579 (1991).CrossRefGoogle Scholar
  206. 141.
    S. Bruckenstein, C. P. Wilde, M. Shay, A. R. Hillman, and D. C. Loveday, J. Electroanal. Chem. 258, 457 (1989).CrossRefGoogle Scholar
  207. 142.
    A. R. Hillman, M. J. Swann, and S. Bruckenstein, J. Phys. Chem. 95, 3271 (1991).CrossRefGoogle Scholar
  208. 143.
    A. R. Hillman, D. C. Loveday, and S. Bruckenstein, J. Electroanal. Chem. 300, 67 (1991).CrossRefGoogle Scholar
  209. 144.
    A. R. Hillman and S. Bruckenstein, J. Chem. Soc. Faraday Trans. 89, 339 (1993).CrossRefGoogle Scholar
  210. 145.
    B. S. H. Royce, D. Voss, and A. Bocarsly, J. Phys. Chem. 88, 325 (1983).Google Scholar
  211. 146.
    J. Pawliszyn, M. F. Weber, M. J. Dignam, A. Mandelis, R. D. Venter, and S. M. Park, Anal. Chem. 58, 236 (1986).CrossRefGoogle Scholar
  212. 147.
    J. Pawliszyn, M. F. Weber, M. J. Dignam, A. Mandelis, R. D. Venter, and S. M. Park, Anal. Chem. 58, 239 (1986).CrossRefGoogle Scholar
  213. 148.
    J. Pawliszyn, Anal. Chem. 60, 1751 (1988).CrossRefGoogle Scholar
  214. 149.
    R. E. Russo, D. R. McLarnon, J. D. Spear, and E. J. Cairns, J. Elchem. So. 134, 27–83 (1987).Google Scholar
  215. 150.
    A. Mandelis and B. S. H. Royce, Appl. Opt. 23, 2892 (1984).CrossRefGoogle Scholar
  216. 151.
    E. M. Genies, M. Lapkowski, and C. Tsintavis, N. J. Chem., 12, 181 (1988).Google Scholar
  217. 152.
    A. Kitiani, I. Izumi, J. Yano, Y. Hiromoto, and K. Sasaki, Bull. Chem. Soc. Jap. 57, 2254 (1984).CrossRefGoogle Scholar
  218. 153.
    G. Horanyi and G. Inzelt, Electrochim. Acta 33, 947 (1988).CrossRefGoogle Scholar
  219. 154.
    W. W. Focke, G. E. Wnek, and Y. Wei, J. Phys. Chem. 91, 5813 (1987).CrossRefGoogle Scholar
  220. 155.
    T. Kobayashi, H. Yoneyama, and H. Tamura, J. Electroanal. Chem. 177, 281 (1984).CrossRefGoogle Scholar
  221. 156.
    W. S. Huang, B. D. Humphrey, and A. G. MacDiarmid, J. Chem. Soc. Faraday Trans. 1 82, 23–85 (1986).CrossRefGoogle Scholar
  222. 157.
    K. Shimazu, K. Murakoshi, and K. Kita, J. Electroanal. Chem. 277, 347 (1990).CrossRefGoogle Scholar
  223. 158.
    C. Barbero, M. C. Miras, O. Haas, and R. Kotz, J. Elchem. So. 138, 669 (1991).CrossRefGoogle Scholar
  224. 159.
    O. Haas, Faraday Discuss. Chem. Soc. 88 123 (1989).Google Scholar
  225. 160.
    A. J. Bard and L. R. Faulkner, Electrochemical Methods ( Wiley, New York, 1980 ).Google Scholar
  226. 161.
    D. D. Macdonald, Transient Techniques in Electrochemistry ( Plenum, New York, 1977 ).CrossRefGoogle Scholar
  227. 162.
    C. R. Martin and L. S. van Dyke, in Molecular Design of Electrode Surfaces (R. W. Murray, ed.), Techniques of Chemistry Series, vol. 22 (Wiley Interscience, New York, 1992) chap. 9, pp. 403–24.Google Scholar
  228. 163.
    R. M. Penner, L. S. Van Dyke, and C. R. Martin, J. Phys. Chem. 92, 5274 (1988).CrossRefGoogle Scholar
  229. 164.
    R. M. Penner and C. R. Martin, J. Phys. Chem. 93, 984 (1989).CrossRefGoogle Scholar
  230. 165.
    Z. Cai and C. R. Martin, J. Electroanal. Chem. 300, 35 (1991).CrossRefGoogle Scholar
  231. 166.
    C. D. Paulse and P. G. Pickup, J. Phys. Chem. 92, 7002 (1988).CrossRefGoogle Scholar
  232. 167.
    H. Mao, J. Ochmanska, C. D. Paulse, and P. G. Pickup, Faraday Discuss. Chem. Soc. 88, 165 (1989).CrossRefGoogle Scholar
  233. 168.
    J. Ochmanska and P. G. Pickup, J. Electroanal. Chem. 271, 83 (1989).CrossRefGoogle Scholar
  234. 169.
    L. D. Whiteley and C. R. Martin, J. Phys. Chem. 93, 46–50 (1989).CrossRefGoogle Scholar
  235. 170.
    J. Spanier and K. B. Oldham, An Atlas of Functions ( Hemisphere Publishing, Washington, D.C., 1987 ).Google Scholar
  236. 171.
    F. A. Posey, J. Elchem. So. 111, 1173 (1964).CrossRefGoogle Scholar
  237. 172.
    F. A. Posey and T. Morozumi, J. Elchem. So. 113, 176 (1966).CrossRefGoogle Scholar
  238. 173.
    R. De Levie, Electrochim. Acta 8, 751 (1963); 1231 (1964).Google Scholar
  239. 174.
    J. P. Candy, P. Fouillox, M. Keddam, and H. Takenouti, Electrochim. Acta 26, 1029 (1981).CrossRefGoogle Scholar
  240. 175.
    J. Tanguay, N. Mermilloid, and M. Hocklet, Synth. Met. 18, 7 (1987).CrossRefGoogle Scholar
  241. 176.
    Q. Z. Zho, C. J. Kolaskie, and L. L. Miller, J. Electroanal. Chem. 223, 238 (1987).Google Scholar
  242. 177.
    P. N. Bartlett, in Biosensors: Fundamentals and Applications (A. P. F. Turner, I. Karube, and G. S. Wilson, eds.) (Oxford University Press, Oxford, 1987), chap. 13, pp. 211–46.Google Scholar
  243. 178.
    K. Aoki, K. Tokuda, and H. Matsuda, J. Electroanal. Chem. 146, 417 (1983).CrossRefGoogle Scholar
  244. 179.
    K. Aoki, K. Tokuda, and H. Matsuda, J. Electroanal. Chem. 160, 33 (1984).CrossRefGoogle Scholar
  245. 180.
    R. P. Buck and T. R. Berube, J. Electroanal. Chem. 256, 239 (1988).CrossRefGoogle Scholar
  246. 181.
    A. J. Bard and L. R. Faulkner, Electrochemical Methods: Fundamentals and Applications (Wiley, New York, 1980), chap. 6, p. 218.Google Scholar
  247. 182.
    M. E. G. Lyons, H. G. Fay, T. McCabe, J. Corish, J. G. Vos, and A. J. Kelly, J. Chem. Soc. Faraday Trans. 86, 2905 (1990).CrossRefGoogle Scholar
  248. 183.
    R. S. Nicholson and I. Shain, Anal. Chem. 36, 706 (1964).CrossRefGoogle Scholar
  249. 184.
    J. M. Savéant, Electrochim. Acta 12, 999 (1967).CrossRefGoogle Scholar
  250. 185.
    R. S. Nicholson and I. Shain, Anal. Chem. 37, 178 (1965).CrossRefGoogle Scholar
  251. 186.
    W. H. Reinmuth, Anal. Chem. 34, 1446 (1962).CrossRefGoogle Scholar
  252. 187.
    H. Matsuda and Y. Ayabe, Z. Elektrochem. 59, 494 (1955).Google Scholar
  253. 188.
    W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recepies, 2d. ed. (Cambridge University Press, Cambridge, England 1993) chap. 9, pp. 343–46.Google Scholar
  254. 189.
    N. Oyama, T. Oshaka, M. Kaneko, K. Sato, and H. Matsuda, J. Am. Chem. Soc. 105, 6003 (1983).CrossRefGoogle Scholar
  255. 190.
    K. Sato, S. Yamaguchi, H. Matsuda, T. Ohsaka and N. Oyama, Bull. Chem. Soc. Jap. 56, 2004 (1983).CrossRefGoogle Scholar
  256. 191.
    N. Oyama, T. Ohsaka, and T. Ushirogouchi, J. Phys. Chem. 88, 5274 (1984).CrossRefGoogle Scholar
  257. 192.
    N. Oyama, T. Ohsaka, and T. Shimizu, Anal. Chem. 57, 1526 (1985).CrossRefGoogle Scholar
  258. 193.
    T. Ohsaka, T. Okajima, and N. Oyama, J. Electroanal. Chem. 215, 191 (1986).CrossRefGoogle Scholar
  259. 194.
    N. Oyama, T. Ohsaka, and M. Nakanishi, J. Macormol. Sci., Chem. A24, 375 (1987).Google Scholar
  260. 195.
    a) N. Oyama, T. Ohsaka, T. Ushirogouchi, S. Sanpei, and S. Nakamura, Bull. Chem. Soc. Jap. 61, 3103 (1988).CrossRefGoogle Scholar
  261. (b).
    T. Ohsaka, H. Yamamoto, M. Kaneko, A. Yamada, M. Nakamura, and N. Oyama, Bull. Chem. Soc. Jap. 57, 1844 (1984).CrossRefGoogle Scholar
  262. 196.
    a) N. Oyama, T. Ohsaka, H. Yamamoto, and M. Kaneko, J. Phys. Chem. 90, 3850 (1986).CrossRefGoogle Scholar
  263. (b).
    T. Ohsaka, H. Yamamoto, and N. Oyama, J. Phys. Chem. 91, 3775 (1987).CrossRefGoogle Scholar
  264. (c).
    T. Ohsaka, N. Oyama, K Sato, and H. Matsuda, J. Elchem. So. 132, 1871 (1985).CrossRefGoogle Scholar
  265. 197.
    K. Chiba, T. Ohsaka, and N. Oyama, J. Electroanal. Chem. 217, 239 (1987).CrossRefGoogle Scholar
  266. 198.
    T. Ohsaka, S. Kunimura, and N. Oyama, Electrochim. Acta. 33, 639 (1988).CrossRefGoogle Scholar
  267. 199.
    H. Matsuda, Bull. Chem. Soc. Jap. 53, 3439 (1980).CrossRefGoogle Scholar
  268. 200.
    E. P. Parry and R. A. Oysteryoung, Anal. Chem. 37, 1634 (1964).CrossRefGoogle Scholar
  269. 201.
    J. R. McDonald, Impedance Spectroscopy—Emphasising Solid Materials and Systems ( Wiley, New York, 1987 ).Google Scholar
  270. 202.
    M. M. Musiani, Electrochim. Acta. 35, 1665 (1990).CrossRefGoogle Scholar
  271. 203.
    A. J. Bard and L. R. Faulkner, Electrochemical Methods (Wiley, New York, 1980), chap. 9, pp. 316–69.Google Scholar
  272. 204.
    Southampton Electrochemistry Group, Instrumental Methods in Electrochemistry (Ellis Horwood, Chichester, 1985), chap. 8, pp. 251–82.Google Scholar
  273. 205.
    D. D. Macdonald, Transient Techniques in Electrochemistry (Plenum, New York, 1977), chap. 7, pp. 229–72.Google Scholar
  274. 206.
    a) E. Gileadi, Electrode Kinetics ( VCH, Weinheim, Germany, 1993 ), pp. 428–43.Google Scholar
  275. (b).
    P. H. Rieger, Electrochemistry ( Prentice-Hall, New Jersey, 1987 ), pp. 310–23.Google Scholar
  276. (c).
    C. M. A. Brett and A. M. Oliveira Brett, Electrochemistry: Principles, Methods, and Applications (Oxford Science Publications, Oxford, England, 1993), chap. 11, pp. 224–52.Google Scholar
  277. 207.
    E. Gileadi, Electrode Kinetics ( VCH, Weinheim, Germany, 1993 ), pp. 428–43.Google Scholar
  278. 208.
    a) C. Gabrielli, Identification of Electrochemical Processes by Frequency Response Analysis, ( Solartron Schlumberger Technical Report, Farnborough, U.K., 1983 ).Google Scholar
  279. (b).
    C. Gabrielli, Use and Applications of Electrochemical Impedance Techniques ( Schlumberger Technical Report, Farnborough, U.K., 1990 ).Google Scholar
  280. 209.
    a) M. Sluyters-Rehbach and J. H. Sluyters, Electroanalytical Chemistry (A. J. Bard, ed.), (Marcel Dekker, New York, 1970), vol. 4, chap. 1, pp. 1–128.Google Scholar
  281. (b).
    M. Sluyters-Rehbach and J. H. Sluyters, Comprehensive Treatise of Electrochemistry (J. O’M. Bockris, B. E. Conway, E. Yeager, and S. Sarangapani, eds.) (Plenum, New York, 1984), vol. 9, pp. 177–292.Google Scholar
  282. (c).
    M. Sluyters-Rehbach and J. H. Sluyters, Comprehensive Chemical Kinetics (C. H. Bamford and R. G. Compton, eds.) (Elsevier, Amsterdam, 1986), vol. 26, chap. 4, pp. 203–354.Google Scholar
  283. 210.
    D. D. Macdonald and M. C. H. McKubre, Modern Aspects of Electrochemistry (J. O’M. B.ckris, B. E. Conway, and R. E. White) (Plenum, New York, 1982 ), vol. 14, pp. 61–150.Google Scholar
  284. 211.
    J. R. Macdonald, J. Electroanal. Chem. 223, 25 (1987).CrossRefGoogle Scholar
  285. 212.
    I. Rubinstein, E. Sabatani, and J. Rishpon, J. Elchem. Soc. 134, 1467 (1987).CrossRefGoogle Scholar
  286. 213.
    R. D. Armstrong, B. Lindholm, and M. Sharp, J. Electroanal. Chem. 202, 69 (1986).CrossRefGoogle Scholar
  287. 214.
    R. D. Armstrong, J. Electroanal. Chem. 198, 177 (1986).CrossRefGoogle Scholar
  288. 215.
    C. Ho, I. D. Raistrick, and R. A. Huggins, J. Elchem. So. 127, 343 (1980).CrossRefGoogle Scholar
  289. 216.
    C. Gabrielli, O. Haas, and H. Takenouti, J . Appl. Electrochem. 17, 82 (1987).CrossRefGoogle Scholar
  290. 217.
    C. Gabrielli, O. Haas, and H. Takenouti, Proc. fournie d’Etudes SEE, “Electrocatalyse, electrodes modifiees” (paper C5, 1986 ) pp. 117–29.Google Scholar
  291. 218.
    C. Gabrielli, H. Takenouti, O. Haas, and A. Tsukada, J. Electroanal. Chem. 302, 59 (1991).CrossRefGoogle Scholar
  292. 219.
    M. F. Mathias and O. Haas, J. Phys. Chem. 96, 3174 (1992).CrossRefGoogle Scholar
  293. 220.
    G. Lang and G. Inzelt, Electrochim. Acta. 36, 847 (1991).CrossRefGoogle Scholar
  294. 221.
    B. Lindholm, J. Electroanal. Chem. 289, 85 (1990).CrossRefGoogle Scholar
  295. 222.
    M. Sharp, B. Lindholm-Sethson, and E. Lotta Lind, J. Electroanal. Chem. 345, 223 (1993).CrossRefGoogle Scholar
  296. 223.
    M. E. G. Lyons, H. G. Fay, and T. McCabe, Key Eng. Mater 72–74, 381 (1992).CrossRefGoogle Scholar
  297. 224.
    S. H. Glarum and J. H. Marshall, J. Elchem. So. 127, 1467 (1980).CrossRefGoogle Scholar
  298. 225.
    I. Rubenstein, J. Rishpon, and S. Gottesfeld, J. Elchem. So. 133, 729 (1986).CrossRefGoogle Scholar
  299. 226.
    a) K. Doblhofer, Electrochim. Acta. 25, 871 (1980).CrossRefGoogle Scholar
  300. (b).
    K. Doblhofer and R. D. Armstrong, Electrochim. Acta. 33, 453 (1988).CrossRefGoogle Scholar
  301. 227.
    W. J. Albery and A. R. Mount, J. Chem. Soc. Faraday Trans. 89, 327 (1993).CrossRefGoogle Scholar
  302. 228.
    I. D. Raistrick, Electrochim. Acta. 35, 1579 (1990).CrossRefGoogle Scholar
  303. 229.
    C. H. Lyons, Ph.D. diss. University of Dublin, 1993.Google Scholar
  304. 230.
    P. G. Pickup, J. Chem. Soc. Faraday Trans. 86, 3631 (1990).CrossRefGoogle Scholar
  305. 231.
    a) X. Ren and P. G. Pickup, J. Elchem. So. 139, 2097 (1992).CrossRefGoogle Scholar
  306. (b).
    G. L. Duffit and P. G. Pickup, J. Chem. Soc. Faraday Trans. 88, 1417 (1992).CrossRefGoogle Scholar
  307. 232.
    X. Ren and P. G. Pickup, J. Chem. Soc. Faraday Trans. 89, 321 (1993).CrossRefGoogle Scholar
  308. 233.
    For a general and entertaining introduction to fractals and nonlinear dynamics in general, see H. O. Peitgen, H. Jurgens, and D. Saupe, Chaos and Fractals: New Fronteirs of Science ( Springer Verlag, New York, 1992 ).Google Scholar
  309. 234.
    B. Sapoval, in Fractals and Disordered Systems (A. Bunde and S. Havlin eds.) (Springer Verlag, Berlin, 1993) chap. 6, pp. 207–26.Google Scholar
  310. 235.
    Some representative references include: (a) R. A. Bull, F. R. F. Fan and A. J. Bard, J. Elchem. So. 129 1009 (1982).Google Scholar
  311. (b).
    N. Mermilliod, J. Tanguy, and F. Petiot, J. Elchem. So. 133, 1073 (1986).CrossRefGoogle Scholar
  312. (c).
    J. Tanguy, N. Mermilliod, and M. Hoclet, J. Elchem. So. 134, 795 (1987).CrossRefGoogle Scholar
  313. (d).
    J. Tanguy and N. Mermilliod, Synth. Met. 21, 129 (1987).CrossRefGoogle Scholar
  314. (e).
    A. M. Waller, A. N. S. Hampton, and R. G. Compton, J. Chem. Soc. Faraday Trans. I. 85, 773 (1989).CrossRefGoogle Scholar
  315. (f).
    P. Burgmayer and R. W. Murray, J. Phys. Chem. 88, 2515 (1984).CrossRefGoogle Scholar
  316. (g).
    S. Panero, P. Prosperi, F. Bonino, B. Scrosati, A. Corradini, and M. Mastragostino, Electrochim. Acta. 32, 1007 (1987).CrossRefGoogle Scholar
  317. (h).
    S. Panero, P. Prosperi, and B. Scrosati, Electrochim. Acta. 32, 1461 (1987).CrossRefGoogle Scholar
  318. (i).
    C. H. Lyons, Ph.D. diss. University of Dublin, 1993.Google Scholar
  319. j) T. Amemiya, K. Hashimoto, and A. Fujihima, J. Phys. Chem. 97 4187, 4192, 9736 (1993). This list is not exhaustive.Google Scholar
  320. 236.
    Some representative references include (the list is not exhaustive): (a) T. F. Otero and E. De Larreta, J. Electroanal. Chem. 244 311 (1988).Google Scholar
  321. (b).
    R. K. Yuan, D. Peramunage, and M. Tomkiewicz, J. Elchem. So. 134, 886 (1987).CrossRefGoogle Scholar
  322. (c).
    S. Sunde, G. Hagen, and R. Odegard, J. Electroanal. Chem. 345, 43, 59 (1993).Google Scholar
  323. 237.
    Some representative references include (a) S. H. Glarum and J. H. Marshall, J. Elchem. So. 134, 142 (1987).Google Scholar
  324. b) I. Rubenstein, E. Sabatani, and J. Rishpon, J. Elchem. So. 134 3078 (1987).Google Scholar
  325. (c).
    C. Delouis, M. M. Musiani, and B. Tribollet, J. Electroanal. Chem. 264, 57 (1989).CrossRefGoogle Scholar
  326. (d).
    R. S. Hutton, M. Kalaji, and L. M. Peter, J. Electroanal. Chem. 270, 429 (1989).CrossRefGoogle Scholar
  327. (e).
    M. Kalaji and L. M. Peter, J. Chem. Soc. Faraday Trans. 87, 853 (1991). (f) T. McCabe, Ph.D. diss. University of Dublin, 1992.Google Scholar
  328. a) L. B. Anderson and C. N. Rielly, J. Electroanal. Chem. 10 295 (1965). (b) B. McDuffie, L. B. Anderson, and C. N. Reilly, Anal. Chem. 38 883 (1966). (c) D. G. Sanderson and L. B. Anderson, Anal. Chem. 57 2388 (1985).Google Scholar
  329. 239.
    X. Chen, P. He, and L. R. Faulkner, J. Electroanal. Chem. 256, 343 (1988).CrossRefGoogle Scholar
  330. 240.
    C. E. D. Chidsey and R. W. Murray, Science, 231, 25 (1986).CrossRefGoogle Scholar
  331. 241.
    P. G. Pickup and R. W. Murray, J. Am. Chem. Soc. 105, 4510 (1983).CrossRefGoogle Scholar
  332. 242.
    C. E. D. Chidsey, B. J. Feldman, C. Lundgren, and R. W. Murray, Anal. Chem. 58, 601 (1986).CrossRefGoogle Scholar
  333. 243.
    W. Thormann, P. van der Bosch, and A. M. Bond, Anal. Chem. 57, 2764 (1985).CrossRefGoogle Scholar
  334. 244.
    G. P. Kittlesen, H. S. White, and M. S. Wrighton, J. Am. Chem. Soc. 106, 7389 (1984).CrossRefGoogle Scholar
  335. 245.
    K. Aoki, M. Morita, O. Niwa, and H. Tabei, J. Electroanal. Chem. 256, 269 (1988).CrossRefGoogle Scholar
  336. 246.
    K. Aoki, Electroanal 2, 229 (1990).CrossRefGoogle Scholar
  337. 247.
    M. E. G. Lyons, Faraday Discuss. Chem. Soc. 88, 293 (1989).Google Scholar
  338. 248.
    J. C. Jernigan and R. W. Murray, J. Phys. Chem. 91, 2031 (1987).CrossRefGoogle Scholar
  339. 249.
    J. C. Jernigan, N. Surridge, M. E. Zvanut, M. Silver, and R. W. Murray, J. Phys. Chem. 93, 4620 (1989).CrossRefGoogle Scholar
  340. 250.
    N. A. Surridge, J. C. Jernigan, E. F. Dalton, R. P. Buck, M. Watanabe, H. Zhang, M. Pinkerton, T. T. Wooster, M. L. Longmire, J. S. Facci, and R. W. Murray, Faraday Discuss. Chem. Soc. 88, 1 (1989).CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1994

Authors and Affiliations

  • Michael E. G. Lyons
    • 1
  1. 1.Physical Chemistry Laboratory, Trinity CollegeUniversity of DublinDublin 2Ireland

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