Skip to main content

Abstract

”Fourier spectroscopy“ is a general term that describes the analysis of any varying signal into its constituent frequency components. The mathematical methods named after J.B.J. Fourier are extremely powerful in spectroscopy and have been discussed in detail [1–3]. Fourier transforms can be applied to a variety of spectroscopies including infrared spectroscopy known as Fourier transform infrared (FT-IR), nuclear magnetic resonance (NMR), and electron spin resonance (ESR) spectroscopy. FT-IR spectroscopy includes the absorption, reflection, emission, or photoacoustic spectrum obtained by Fourier transform of an optical interferogram. The power of the method derives from the simultaneous analysis of many frequency components in a single operation. When Fourier concepts are applied to various terms of spectroscopy, the resultant technology creates a spectrometer that gives the entire spectrum in the amount of time that a conventional spectrometer (using dispersive elements like prism and grating) would need to scan across just a single line in the spectrum. Fourier spectrometers utilizing interferometers are thus faster by a factor equal to the number of resolvable elements in the spectrum. Fourier-based methods are used over a wide spectral range [4–7]. FT spectroscopy can be employed for a long range of frequencies varying over ultraviolet, visible, near infrared, mid infrared and even far infrared regions by selecting different beam splitters and detectors for the required ranges. No other dispersive technique can be used for such a wide range of frequencies [8].

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 259.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 329.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 329.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  1. Ghatak, A.K., Goyal, I.C. & Chua, S.J. (1995) Mathematical Physics New Delhi: MacMillan Academic Press.

    Google Scholar 

  2. Harper, C. (1993) Introduction to Mathematical Physics New Delhi: Prentice-Hall of India Private Ltd.

    Google Scholar 

  3. Arfken, G. (1985) Mathematical Methods for Physicists Orlando: Academic Press, Inc.

    Google Scholar 

  4. Lee, J.P. & Comisarow, M.B. (1987) Appl, Spectrosc. 41, 93–98.

    Article  ADS  Google Scholar 

  5. Steward, E.G. (1983) Fourier Optics: An Introduction New York: John Wiley & Sons.

    Google Scholar 

  6. Banwell, C.N. & McCash, E.M. (1999) Fundamentals of Molecular Specroscopy New Delhi: Tata McGraw-Hill Publishing Co. Ltd.

    Google Scholar 

  7. Guelachvili, G. (1981) Spectroscopic Techniques, G. A. Vanasse; Volume II New York: Academic Press.

    Google Scholar 

  8. Berry, A., www.FT-IR.htm

    Google Scholar 

  9. www. ericweisstein.com

    Google Scholar 

  10. Bacsik, Z., Mink, J. & Keresztury, G. (2004) Appl. Spectrosc. Reviews 39, 295–363.

    Article  ADS  Google Scholar 

  11. Codding, E.G. & Horlick, G. (1973) Appl. Spectrosc. 27, 85–92.

    Article  ADS  Google Scholar 

  12. Lipp, E.D. (1986) Appl. Spectrosc. 40, 1009–1011.

    Article  ADS  Google Scholar 

  13. Kawata, S.,Noda, T. & Minami, S. (1987) Appl. Spectrosc. 41, 1176–1182.

    Article  ADS  Google Scholar 

  14. James, D.I., Maddams, W.F. & Tooke, P.B. (1987) Appl. Spectrosc. 41, 1362–1370.

    Article  ADS  Google Scholar 

  15. Kauppinen, J.K., Moffatt, D.J., Mantsch, H.H. & Cameron, D.G. (1981) Appl. Spectrosc. 35, 271–276.

    Article  ADS  Google Scholar 

  16. Aruldhas, G. (2004) Molecular Structure and Spectroscopy New Delhi, Prentice-Hall of India Private Ltd.

    Google Scholar 

  17. Green, D.W. & Reedy, G.T. (1978) Fourier Transform Infrared Spectroscopy-Applications to Chemical Systems Vol. 1, Ferraro, J.R. & Basile; L.J., pl8–38 New York, Academic Press.

    Google Scholar 

  18. Grasselli, J. (1987) Appl. Spectrosc. 41, 933–935.

    Article  ADS  Google Scholar 

  19. Bell, R.J. (1972) Introductory Fourier Transform Spectroscopy New York, Academic Press.

    Google Scholar 

  20. Cooley, J.W. & Tukey, J.W. (1965) Math. Comput. 19, 291.

    MathSciNet  Google Scholar 

  21. Connes, J. & Connes, P. (1966) J. Opt. Soc. Am. 56, 896–910.

    Article  ADS  Google Scholar 

  22. Connes, P., Connes, J. & Maillard, J.P. (1969) Atlas des Spectres dans le Proche Infrarouge de Venus, Mars, Jupiter, et Saturne Paris: Editions des Centre National de Recherche Scientifique.

    Google Scholar 

  23. Jacquinot, P. (1969) Appl. Optics 8, 497–499.

    Article  ADS  Google Scholar 

  24. Gibbie, H.A. (1969) Appl. Optics 8, 501–504.

    Article  ADS  Google Scholar 

  25. Horlick, G. & Yuen, W.K. (1978) Appl. Spectrosc. 32, 38–46.

    Article  ADS  Google Scholar 

  26. Koeing, J.L. (1975) Appl. Spectrosc. 29, 293–308.

    Article  ADS  Google Scholar 

  27. Hirschfeld, T. (1976) Appl. Spectrosc. 30, 68–69.

    Article  ADS  Google Scholar 

  28. www.photometrices.net

    Google Scholar 

  29. Hoffmann, P. & Knözinger, E. (1987) Appl. Spectrosc. 41, 1303–1306.

    Article  ADS  Google Scholar 

  30. Thackeray, P.P.C. (1972) Laboratory Methods in Infrared Spectroscopy Miller, R.G.J., Stace, B.C., p 8 London; Heyden and Son Ltd.

    Google Scholar 

  31. Kember, D., Chenery, D.H., Sheppard, N. & Fell, J (1979) Spectrochimica Acta. 35A 455–459.

    ADS  Google Scholar 

  32. Manning, C.J. & Griffiths, P.R. (1997) Appl. Spectrosc. 51, 1092–1099.

    Article  ADS  Google Scholar 

  33. Sonoyama, M., Shoda, K., Katagiri, G. & Ishida, H. (1996) Appl. Spectrosc. 50, 377–381.

    Article  ADS  Google Scholar 

  34. Fellgett, P. (1958) J. Phys. Radium 19, 187.

    Article  Google Scholar 

  35. Voigtman, E. & Winefordner, J.D. (1987) Appl. Spectrosc. 41, 1182–1184.

    Article  ADS  Google Scholar 

  36. Jacquinot, P. (1954) Proceedings of the 17th Congress du Gaurs CNRS (Paris)

    Google Scholar 

  37. Koeing, J.L. (1975) Appl. Spectrosc. 29, 293–308.

    Article  ADS  Google Scholar 

  38. Hirschfeld, T. (1985) Appl. Spectrosc. 39, 1086–1087.

    Article  ADS  Google Scholar 

  39. Hirschfeld, T. (1986) Appl. Spectrosc. 40, 1239–1240.

    Article  ADS  Google Scholar 

  40. Tripp, C.P. & McFarlane, R.A. (1994) Appl. Spectrosc. 48, 1138–1142.

    Article  ADS  Google Scholar 

  41. Parry, D.B. & Harris, J.M. (1988) Appl. Spectrosc. 42, 997–1004.

    Article  ADS  Google Scholar 

  42. Johnson, S.A., Rinkus, R.M., Diebold, T.C. & Maroni, V.A. (1988) Appl. Spectrosc. 42, 1369–1375.

    Article  ADS  Google Scholar 

  43. Sergides, C.A., Chughtai, A.R. & Smith, D.M. (1987) Appl. Spectrosc. 41, 157–160.

    Article  ADS  Google Scholar 

  44. Rahmelow, K. & Hübner, W. (1996) Appl. Spectrosc. 50, 795–804.

    Article  ADS  Google Scholar 

  45. Maddams, W.F. (1980) Appl. Spectrosc. 34, 245–267.

    Article  ADS  Google Scholar 

  46. Bowley, H.J., Collin, S.M.H., Gerrard, D.L., James, D.I., Maddams, W.F., Tooke, P.B. & Wyatt, I.D. (1985) Appl. Spectrosc. 39, 1004–1009.

    Article  ADS  Google Scholar 

  47. Notingher, I., Imhof, R.E., Xiao, P. & Pascut, F.C. (2003) Appl. Spectrosc. 57, 1494–1501.

    Article  ADS  Google Scholar 

  48. Cran, M.J. & Bigger, S.W. (2003) Appl. Spectrosc. 57, 928–932.

    Article  ADS  Google Scholar 

  49. Markham, J.R., Best, P.E. & Solomon, P.R. (1994) Appl. Spectrosc. 48, 265–270.

    Article  ADS  Google Scholar 

  50. Iwaoka, T., Tabata, F. & Tsutsumi, S. (1994) Appl. Spectrosc. 48, 818–826.

    Article  ADS  Google Scholar 

  51. Lutz, E.T.G., Luinge, H.J., Maas, J.H. van der & Agen, R. van (1994) Appl. Spectrosc. 48, 1021–1025.

    Article  ADS  Google Scholar 

  52. Ouyang, H., Sherman, P.J., Paschalis, E.P., Boskey, A.L. & Mendelsihn, R. (2004) Appl. Spectrosc. 58, 1–9.

    Article  ADS  Google Scholar 

  53. Thompson, S.E., Foster, N.S., Johnson, T.J., Valentine, N.B. & Amonette, J.E. (2003) Appl. Spectrosc. 57, 893–899.

    Article  ADS  Google Scholar 

  54. Horn, B.A., Qiu, J., Owen, N.L. & Feist, W.C. (1994) Appl. Spectrosc. 48, 662–668.

    Article  ADS  Google Scholar 

  55. Chirsty, A.A., Nodland, E., Burnham, A.K., Kvalheim, O.M. & Dahl, B. (1994) Appl. Spectrosc. 48, 561–568.

    Article  ADS  Google Scholar 

  56. Heberle, J. & Zscherp, C. (1996) Appl. Spectrosc. 50, 588–596.

    Article  ADS  Google Scholar 

  57. Lewis, E.N., Gorbach, A.M., Marcott, C. & Levin, I.W. (1996) Appl. Spectrosc. 50, 263–269.

    Article  ADS  Google Scholar 

  58. Sowa, M.G. & Mantsch, H.H. (1994) Appl. Spectrosc. 48, 316–319.

    Article  ADS  Google Scholar 

  59. Conde-Gallardo, A., Cruz-Orea, A. & Tomas, S.A. (2004) Appl. Spectrosc. 58, 917–921.

    Article  ADS  Google Scholar 

  60. Irudayaraj, J. & Tewari, J. (2003) Appl. Spectrosc. 57, 1599–1604.

    Article  ADS  Google Scholar 

  61. Van de Voort, F.R., Sedman, J., Yaylayan, V., Laurent, C.S. & Mucciardi, C. (2004) Appl. Spectrosc. 58, 193–198.

    Article  ADS  Google Scholar 

  62. Stewart, D. (1996) Appl. Spectrosc. 50, 357–381.

    Article  ADS  Google Scholar 

  63. Hanst, P.L., Spiller, L.L., Watts, D.M., Spence, J.W. & Miller, M.F. (1975) J. Air Pollut. Contr. Assoc. 25, 1220.

    Google Scholar 

  64. Hanst, P.L. (1978) Fourier Transform Infrared SpectroscopyApplications to Chemical Systems Vol. 2, Ferraro, J.R., Basile, L.J. (Eds.), p 88–89 New York, Academic Press.

    Google Scholar 

  65. Hong, D.W. & Cho, S.Y. (2003) Appl. Spectrosc. 57, 299–308.

    Article  ADS  Google Scholar 

  66. Kraft, M., Jakusch, M., Karlowatz, M., Katzir, A. & Mizaikoff, B. (2003) Appl. Spectrosc. 57, 591–599.

    Article  ADS  Google Scholar 

  67. Mantz, A.W. (1976) Appl. Spectrosc. 30, 459–461.

    Article  ADS  Google Scholar 

  68. Fink, U. & Larson, H.P. (1978) Fourier Transform Infrared Spectroscopy Applications to Chemical Systems Vol. 2, Ferraro, J. R. Basile; L.J., p 247–253, 259 New York, Academic Press.

    Google Scholar 

  69. Ochiai, S., McClelland, J.F., Kobayashi, K. & Takaoka, K. (1994) Appl. Spectrosc. 48, 1287–1289.

    Article  ADS  Google Scholar 

  70. Yamamoto, K. & Ishida, H. (1994) Appl. Spectrosc. 48, 775–787.

    Article  ADS  Google Scholar 

  71. Ohta, K. & Iwamoto, R. (1985) Appl. Spectrosc. 39, 418–425.

    Article  ADS  Google Scholar 

  72. Fredericks, P.M., Samson, P.J. & Stuart, A.D. (1987) Appl. Spectrosc. 39, 327–329.

    Article  ADS  Google Scholar 

  73. Lowry, S., May, T., Bornstein, A., Weissman, Y., Harman, R. & Tugenthaft, I. (1994) Appl. Spectrosc. 48, 852–856.

    Article  ADS  Google Scholar 

  74. Poirier, M.A., Lopes, T. & Singh, B.R. (1994) Appl. Spectrosc. 48, 867–870.

    Article  ADS  Google Scholar 

  75. Steiner, H., Jakusch, M. & Kraft, M. et al. (2003) Appl. Spectrosc. 57, 607–613.

    Article  ADS  Google Scholar 

  76. Katzir, A. & Mizaikoff, B. (2003) Appl. Spectrosc. 57, 823–828.

    Article  ADS  Google Scholar 

  77. Schachtschneider, J.H. & Snyder, R.G. (1963) Spectrochimica Acta. 19, 117–168.

    Article  ADS  Google Scholar 

  78. Snyder, R.G. & Schachtschneider, J.H. (1965) Spectrochimica Acta. 19, 169–195.

    Article  Google Scholar 

  79. Schachtschneider, J.H. (1964) Shell Development Co. Tech. Repts. 231–264.

    Google Scholar 

  80. Jaiswal, R.M.P. & Crowder, G.A. (1983) Candian J. Spectrosc. 28, 160–164.

    Google Scholar 

  81. Crowder, G.A. & Jaiswal, R.M.P. (1983) J. Mol. Struct. 102, 145–164.

    Article  ADS  Google Scholar 

  82. Crowder, G.A. & Jaiswal, R.M.P. (1983) J. Mol. Struct. 99, 93–100.

    Article  ADS  Google Scholar 

  83. Jaggi, N. & Jaiswal, R.M.P. (2002) Ind. J.Pure & Appl. Phys. 40, 385–392.

    Google Scholar 

  84. Jaggi, N. & Jaiswal, R.M.P. (2002) Ind. J. Phys. 76B, 297–306.

    Google Scholar 

  85. Jaggi, N. & Jaiswal, R.M.P. (2001) Ind. J. Pure & Appl Phys. 39, 123–129.

    Google Scholar 

  86. Jaggi, N. & Jaiswal, R.M.P. (2000) Ind. J. Phys. 74B, 493–496.

    Google Scholar 

  87. Jaggi, N. & Jaiswal, R.M.P. (2000) Ind. J. Pure & Appl Phys. 38, 69–80.

    Google Scholar 

  88. Powell, J.R., Wasacz, F.M. & Jakobsen, R. J. (1986) Appl. Spectrosc. 40, 339–344.

    Article  ADS  Google Scholar 

  89. Heise, H.M., Marbach, R., Koschinsky, T.H. & Gries, F.A. (1994) Appl. Spectrosc. 48, 85–95.

    Article  ADS  Google Scholar 

  90. Wallon, J.W., Yan, S.H., Tong, J., Meurens, M. & Haot, J. (1994) Appl. Spectrosc. 48, 190–193.

    Article  ADS  Google Scholar 

  91. Zhang, L., Small, G.W., Haka, A.S., Kidder, L.H. & Lewis, E.N. (2003) Appl. Spectrosc. 57, 14–22.

    Article  ADS  Google Scholar 

  92. Sowa, M.G. & Mantsch, H.H. (1994) Appl. Spectrosc. 48, 316–319.

    Article  ADS  Google Scholar 

  93. Papini, M. (1994) Appl. Spectrosc. 48, 472–476.

    Article  ADS  Google Scholar 

  94. O'Neil, S.E. & Fateley, W. (1988) Appl, Spectrosc. 42, 1177–1180.

    Article  ADS  Google Scholar 

  95. Arvanitopoulos, C.D. & Koeing, J.L. (1996) Appl. Spectrosc. 50, 1–10.

    Article  ADS  Google Scholar 

  96. Walls, D. (1991)Appl. Spectrosc. 45, 1113.

    Article  ADS  Google Scholar 

  97. Kandilioti, G., Govaris, G.K. & Gregoriou, V.G. (2004) Appl. Spectrosc. 58, 1082–1092.

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer

About this chapter

Cite this chapter

Jaggi, N., Vij, D. (2006). FOURIER TRANSFORM INFRARED SPECTROSCOPY. In: Vij, D. (eds) Handbook of Applied Solid State Spectroscopy. Springer, Boston, MA. https://doi.org/10.1007/0-387-37590-2_9

Download citation

Publish with us

Policies and ethics