Fourier Transform Faradaic Admittance Measurements (FT-FAM): A Description and Some Applications

  • Donald E. Smith
Chapter

Abstract

Small amplitude a. c. measurements always have represented a significant component in the vast array of electrochemical relaxation techniques,* which include the familiar techniques of potential step chronoamperometry, current step chronopotentiometry, conventional “d. c.” polarography, linear sweep and cyclic voltammetry, normal and differential pulse polarography, square wave polarography, and a. c. polarography. Such techniques have been applied to a range of measurements from kinetic-mechanistic studies of electrode processes to highly precise and sensitive analytical applications.1–6 The power of a. c. measurements in kinetic and analytical applications became apparent in the late 1940’s and early 1950’s with the pioneering work of groups led by Gerischer7–9, Randies,10,11 and Breyer.12,13 The European school favored use of impedance bridge measurement methods to investigate kinetics of electrode processes, while the Australia workers introduced the concept of automatic recording of “a. c. polarograms”. The latter involved the superposition of a small amplitude a. c. potential (constant amplitude of 5–20 mV and constant frequency) on the normal d. c. ramp used in conventional polarography, and recording the alternating current magnitude as a function of the d. c. potential.

Keywords

Fourier Domain Drop Mercury Electrode Fast Fourier Trans Single Tablet Time Domain Waveform 
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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Bibliography

  1. 1.
    Bard, A. J., and Faulkner, L. R., 1980, Electrochemical Methods, John Wiley and Sons, New York, N.Y.Google Scholar
  2. 2.
    Bard, A. J., Ed., Electroanalytical Chemistry, M. Dekker, Inc., New York, N.Y., ALL VOLUMES.Google Scholar
  3. 3.
    Bond, A. M., 1980, Modern Polarographic Methods in Analytical Chemistry, M. Dekker, Inc., New York, N.Y.Google Scholar
  4. 4.
    Delahay, P. and Tobias, C. W., Advances in Electrochemistry and Electrochemical Engineering, Wiley-Interscience, New York, N.Y., ALL VOLUMES.Google Scholar
  5. 5.
    Herovsky, J. and Kuta, J., 1966, Principles of Polarography, Academic Press, New York, N.Y.Google Scholar
  6. 6.
    MacDonald, D. D., 1977, Transient Techniques in Electrochemistry, Plenum Press, New York, N.Y.CrossRefGoogle Scholar
  7. 7.
    Gerischer, H., 1951, Zeit. Physik. Chem., 198, 286.Google Scholar
  8. 8.
    Gerischer, H., 1951, Zeit. Electrochem., 55, 98.Google Scholar
  9. 9.
    Gerischer, H., 1952, Zeit. Physik. Chem., 201, 55.Google Scholar
  10. 10.
    Randies, J. E. B., 1947, Disc. Faraday Soc, 1, 11, 47.CrossRefGoogle Scholar
  11. 11.
    Randies, J. E. B. and Somerton, K. W., 1952, Trans. Faraday Soc, 48, 937, 951.CrossRefGoogle Scholar
  12. 12.
    Breyer, B. and Gutman, F, 1947, Disc Faraday Soc, 1, 19.CrossRefGoogle Scholar
  13. 13.
    Breyer, B. and Bauer, H. H., 1963, Alternating Current Polargraphy and Tensammetry, Wiley-Interscience, New York, N.Y.Google Scholar
  14. 14.
    Delahay, P., 1954, New Instrumental Methods in Electrochemistry, Interscience, New York, N.Y.Google Scholar
  15. 15.
    Smith, D. E. in Bard, A. J., Ed., 1966, Electroanalytical Chemistry, Vol. I, M. Dekker, Inc., New York, N.Y., Chapt. 1.Google Scholar
  16. 16.
    Sluyters-Rehbach, M. and Sluyters, J. H. in Bard, A. J., Ed., 1970, Electroanalytical Chemistry, Vol. IV, M. Dekker, Inc., New York, N.Y, Chapt. 1.Google Scholar
  17. 17.
    Delahay, P., 1966, J. Electrochem. Soc, 113, 967 and discussion.CrossRefGoogle Scholar
  18. 18.
    Timmer, B., Sluyters-Rehbach, M. and Sluyters, J. H., 1970, J. Electroanal. Chem., 24, 287.CrossRefGoogle Scholar
  19. 19.
    Brown, E. R., McCord, T. G., Smith, D. E. and DeFord, D. D., 1966, Anal. Chem., 38, 1119.CrossRefGoogle Scholar
  20. 20.
    Brown, E. R., Smith, D. E. and Booman, G. L., 1968, Anal. Chem., 40, 1411.CrossRefGoogle Scholar
  21. 21.
    Brown, E. R., Hung, H. L., McCord, T. G., Smith, D. E., and Booman, G. L., 1968, Anal. Chem., 40, 1424.CrossRefGoogle Scholar
  22. 22.
    Huebert, B. J. and Smith, D. E., 1972, Anal. Chem., 44, 1179.CrossRefGoogle Scholar
  23. 23.
    Pilla, A. A., 1970, J. Electrochem. Soc., 117, 467.CrossRefGoogle Scholar
  24. 24.
    Pilla, A. A., 1971, J. Electrochem. Soc., 118, 702.CrossRefGoogle Scholar
  25. 25.
    deLevie, R., Thomas, J. W. and Abbey, K. M., 1975, J. Electroanal. Chem., 62, 111.CrossRefGoogle Scholar
  26. 26.
    Pilla, A. A., in Mattson, J. S., MacDonald, J. D., Jr. and Mark, H. B., Jr., 1972, Computers in Chemistry and Instrumentation, Vol. 2, M. Dekker, New York, N.Y., Chapt. 6.Google Scholar
  27. 27.
    Schwall, R. J., Bond, A. M., Loyd, R. J., Larsen, J. G. and Smith, D. E., 1977, Anal. Chem., 49, 1797.CrossRefGoogle Scholar
  28. 28.
    K. F. Drake, 1979, Doctoral Dissertation, Northwestern University, Evanston, IL.Google Scholar
  29. 29.
    Smith, D. E., 1971, CRC Critical Rev. Anal. Chem., 2, 247.Google Scholar
  30. 30.
    Smith, D. E., Borchers, C. E. and Loyd, R. J., 1971, Physical Methods in Chemistry, Part 1B, Wiley and Sons, Inc., New York, N.Y., Chapt. 8.Google Scholar
  31. 31.
    Creason, S. C. and Smith, D. E., 1973, Anal. Chem., 45, 2401.CrossRefGoogle Scholar
  32. 32.
    Birke, R. L., 1971, Anal. Chem., 43, 1253.CrossRefGoogle Scholar
  33. 33.
    Gabrielli, C. and Keddam, M., 1974, Electrochem. Acta., 19, 355.CrossRefGoogle Scholar
  34. 34.
    Bechet, B., Epelboin, I. and Keddam, M., 1977, J. Electroanal. Chem., 76, 129.CrossRefGoogle Scholar
  35. 35.
    Brigham, E. O., 1974, The Fast Fourier Transform, Prentice-Hall, Inc., Englewood Cliffs, N.J.Google Scholar
  36. 36.
    Gold, B and Rader, C. M., 1969, Digital Processing of Signals, McGraw-Hill, New York, N.Y.Google Scholar
  37. 37.
    Otnes, R. K. and Enochson, L., 1971, Digital Time Series Analysis, Wiley-Interscience, New York, N.Y.Google Scholar
  38. 38.
    Creason, S. C., Hayes, J. W. and Smith, D. E., 1973, J. Electroanal. Chem., 47, 9.CrossRefGoogle Scholar
  39. 39.
    Matsuda, H., 1958, Zeit. Elektrochem., 62, 977.Google Scholar
  40. 40.
    Lephardt, J. O., in Griffiths, P., Ed., 1978, Transform Techniques in Chemistry, Plenum Press, New York, N.Y., Chapt. 11.Google Scholar
  41. 41.
    Griffiths, P. R., 1975, Appl. Spectrosc., 29, 11.CrossRefGoogle Scholar
  42. 42.
    Horlick, G. and Yuen, W. K., 1976, Anal. Chem., 48, 1643.CrossRefGoogle Scholar
  43. 43.
    Bond, A. M., O’Halloran, R. J., Ruzic, I. and Smith, D. E., 1976, Anal. Chem., 48, 872.CrossRefGoogle Scholar
  44. 44.
    Erdy-Gruz, T. and Volmer, M., 1930, Zeit. Physik. Chem., 150A, 203.Google Scholar
  45. 45.
    Kirmse, K. W. and Westerberger, A. W., 1971, Anal. Chem., 43, 1035.CrossRefGoogle Scholar
  46. 46.
    Horlick, G., 1972, Anal. Chem., 44, 943.CrossRefGoogle Scholar
  47. 47.
    Grabaric, B. S., O’Halloran, R. J. and Smith, D. E., Anal. Chim. Acta., (Section on Computer Techniques and Optimization).Google Scholar
  48. 48.
    deLeeuwe, R., Sluyters-Rehbach, M. and Sluyters, J. H., 1969, Electrochim. Acta., 14, 1183.CrossRefGoogle Scholar
  49. 49.
    Rohko, T., Kogoma, M. and Aoyagui, S., 1972, J. Electroanal. Chem., 38, 45.CrossRefGoogle Scholar
  50. 50.
    Peover, M. E. and Powell, J. S., 1969, J. Electroanal. Chem., 20, 427.CrossRefGoogle Scholar
  51. 51.
    Bond, A. M., Schwall, R. J. and Smith, D. E., 1977, J. Electro-Chem., 85, 231.CrossRefGoogle Scholar
  52. 52.
    Grabaric, B. S. and Smith, D. E., in preparation.Google Scholar
  53. 53.
    O’Halloran, R. J., Schaar, J. C. and Smith, D. E., 1978, Anal. Chem., 50, 1073.CrossRefGoogle Scholar
  54. 54.
    Hayes, J. W. and Smith, D. E., 1980, J. Electroanal. Chem., 114, 283.CrossRefGoogle Scholar
  55. 55.
    Hayes, J. W. and Smith, D. E., 1980, J. Electroanal. Chem., 114, 293.CrossRefGoogle Scholar
  56. 56.
    Ruzic, I., Smith, D. E. and Feldberg, S. W., 1974, J. Electro-Anal. Chem., 52, 157.CrossRefGoogle Scholar
  57. 57.
    Schwall, R. J., Ruzic, I. and Smith, D. E., 1975, J. Electroanal. Chem., 60, 117.CrossRefGoogle Scholar
  58. 58.
    Schwall, R. J. and Smith, D. E., 1978, J. Electroanal. Chem., 94, 227.CrossRefGoogle Scholar
  59. 59.
    Matusinovic, T. and Smith, D. E., 1979, J. Electroanal. Chem., 98, 133.CrossRefGoogle Scholar
  60. 60.
    Matusinovic, T. and Smith, D. E., in press, Inorg. Chem.Google Scholar
  61. 61.
    Candlin, J. P., Halperin, J. and Trimm, D. L., 1964, J. Amer. Chem. Soc., 86, 1019.CrossRefGoogle Scholar
  62. 62.
    Faragi, M. and Feder, A., 1973, Inorg. Chem., 12, 236.CrossRefGoogle Scholar
  63. 63.
    Schwall, R. J., Ruzic, I. and Smith, D. E., 1975, J. Electroanal. Chem., 60, 117.CrossRefGoogle Scholar
  64. 64.
    Dulz, G. and Sutin, N., 1964, J. Amer. Chem. Soc., 86, 829.CrossRefGoogle Scholar
  65. 65.
    Flato, J. B., 1972, Anal. Chem., 44(11), 75A.CrossRefGoogle Scholar
  66. 66.
    Schwall, R. J., Bond, A. M. and Smith, D. E., 1977, Anal. Chem., 49, 1805.CrossRefGoogle Scholar
  67. 67.
    Woodson, A. L. and Smith, D. E., 1970, Anal. Chem., 42, 242.CrossRefGoogle Scholar
  68. 68.
    Taira, A. and Smith, D.E., 1978, J. Assoc. Official Anal. Chem., 61, 941.Google Scholar
  69. 69.
    Schaar, J. C. and Smith, D. E., 1979, J. Electroanal. Chem., 100, 145.CrossRefGoogle Scholar
  70. 70.
    Schaar, J. C, 1981, Doctoral Dissertation, Northwestern University, Evanston, IL.Google Scholar
  71. 71.
    Reprinted with permission of ACS, 1963, Anal. Chem., 35, 1811.Google Scholar
  72. 72.
    Reprinted with permission of ACS, 1973, Anal. Chem., 45, 277.Google Scholar
  73. 73.
    Reprinted with permission of ACS, 1978, Anal. Chem., 50, 1391.Google Scholar
  74. 74.
    Reprinted with permission of Elsevier Scientific Publishing Company, 1981, Anal. Chim. Acta., ACA Comp., 133, 349.Google Scholar
  75. 75.
    Reprinted with permission of Elsevier Scientific Publishing Company, J. Electroanal. Chem., in press.Google Scholar

Copyright information

© Springer Science+Business Media New York 1982

Authors and Affiliations

  • Donald E. Smith
    • 1
  1. 1.Department of ChemistryNorthwestern UniversityEvanstonUSA

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