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].
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Ghatak, A.K., Goyal, I.C. & Chua, S.J. (1995) Mathematical Physics New Delhi: MacMillan Academic Press.
Harper, C. (1993) Introduction to Mathematical Physics New Delhi: Prentice-Hall of India Private Ltd.
Arfken, G. (1985) Mathematical Methods for Physicists Orlando: Academic Press, Inc.
Lee, J.P. & Comisarow, M.B. (1987) Appl, Spectrosc. 41, 93–98.
Steward, E.G. (1983) Fourier Optics: An Introduction New York: John Wiley & Sons.
Banwell, C.N. & McCash, E.M. (1999) Fundamentals of Molecular Specroscopy New Delhi: Tata McGraw-Hill Publishing Co. Ltd.
Guelachvili, G. (1981) Spectroscopic Techniques, G. A. Vanasse; Volume II New York: Academic Press.
Berry, A., www.FT-IR.htm
www. ericweisstein.com
Bacsik, Z., Mink, J. & Keresztury, G. (2004) Appl. Spectrosc. Reviews 39, 295–363.
Codding, E.G. & Horlick, G. (1973) Appl. Spectrosc. 27, 85–92.
Lipp, E.D. (1986) Appl. Spectrosc. 40, 1009–1011.
Kawata, S.,Noda, T. & Minami, S. (1987) Appl. Spectrosc. 41, 1176–1182.
James, D.I., Maddams, W.F. & Tooke, P.B. (1987) Appl. Spectrosc. 41, 1362–1370.
Kauppinen, J.K., Moffatt, D.J., Mantsch, H.H. & Cameron, D.G. (1981) Appl. Spectrosc. 35, 271–276.
Aruldhas, G. (2004) Molecular Structure and Spectroscopy New Delhi, Prentice-Hall of India Private Ltd.
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.
Grasselli, J. (1987) Appl. Spectrosc. 41, 933–935.
Bell, R.J. (1972) Introductory Fourier Transform Spectroscopy New York, Academic Press.
Cooley, J.W. & Tukey, J.W. (1965) Math. Comput. 19, 291.
Connes, J. & Connes, P. (1966) J. Opt. Soc. Am. 56, 896–910.
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.
Jacquinot, P. (1969) Appl. Optics 8, 497–499.
Gibbie, H.A. (1969) Appl. Optics 8, 501–504.
Horlick, G. & Yuen, W.K. (1978) Appl. Spectrosc. 32, 38–46.
Koeing, J.L. (1975) Appl. Spectrosc. 29, 293–308.
Hirschfeld, T. (1976) Appl. Spectrosc. 30, 68–69.
www.photometrices.net
Hoffmann, P. & Knözinger, E. (1987) Appl. Spectrosc. 41, 1303–1306.
Thackeray, P.P.C. (1972) Laboratory Methods in Infrared Spectroscopy Miller, R.G.J., Stace, B.C., p 8 London; Heyden and Son Ltd.
Kember, D., Chenery, D.H., Sheppard, N. & Fell, J (1979) Spectrochimica Acta. 35A 455–459.
Manning, C.J. & Griffiths, P.R. (1997) Appl. Spectrosc. 51, 1092–1099.
Sonoyama, M., Shoda, K., Katagiri, G. & Ishida, H. (1996) Appl. Spectrosc. 50, 377–381.
Fellgett, P. (1958) J. Phys. Radium 19, 187.
Voigtman, E. & Winefordner, J.D. (1987) Appl. Spectrosc. 41, 1182–1184.
Jacquinot, P. (1954) Proceedings of the 17th Congress du Gaurs CNRS (Paris)
Koeing, J.L. (1975) Appl. Spectrosc. 29, 293–308.
Hirschfeld, T. (1985) Appl. Spectrosc. 39, 1086–1087.
Hirschfeld, T. (1986) Appl. Spectrosc. 40, 1239–1240.
Tripp, C.P. & McFarlane, R.A. (1994) Appl. Spectrosc. 48, 1138–1142.
Parry, D.B. & Harris, J.M. (1988) Appl. Spectrosc. 42, 997–1004.
Johnson, S.A., Rinkus, R.M., Diebold, T.C. & Maroni, V.A. (1988) Appl. Spectrosc. 42, 1369–1375.
Sergides, C.A., Chughtai, A.R. & Smith, D.M. (1987) Appl. Spectrosc. 41, 157–160.
Rahmelow, K. & Hübner, W. (1996) Appl. Spectrosc. 50, 795–804.
Maddams, W.F. (1980) Appl. Spectrosc. 34, 245–267.
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.
Notingher, I., Imhof, R.E., Xiao, P. & Pascut, F.C. (2003) Appl. Spectrosc. 57, 1494–1501.
Cran, M.J. & Bigger, S.W. (2003) Appl. Spectrosc. 57, 928–932.
Markham, J.R., Best, P.E. & Solomon, P.R. (1994) Appl. Spectrosc. 48, 265–270.
Iwaoka, T., Tabata, F. & Tsutsumi, S. (1994) Appl. Spectrosc. 48, 818–826.
Lutz, E.T.G., Luinge, H.J., Maas, J.H. van der & Agen, R. van (1994) Appl. Spectrosc. 48, 1021–1025.
Ouyang, H., Sherman, P.J., Paschalis, E.P., Boskey, A.L. & Mendelsihn, R. (2004) Appl. Spectrosc. 58, 1–9.
Thompson, S.E., Foster, N.S., Johnson, T.J., Valentine, N.B. & Amonette, J.E. (2003) Appl. Spectrosc. 57, 893–899.
Horn, B.A., Qiu, J., Owen, N.L. & Feist, W.C. (1994) Appl. Spectrosc. 48, 662–668.
Chirsty, A.A., Nodland, E., Burnham, A.K., Kvalheim, O.M. & Dahl, B. (1994) Appl. Spectrosc. 48, 561–568.
Heberle, J. & Zscherp, C. (1996) Appl. Spectrosc. 50, 588–596.
Lewis, E.N., Gorbach, A.M., Marcott, C. & Levin, I.W. (1996) Appl. Spectrosc. 50, 263–269.
Sowa, M.G. & Mantsch, H.H. (1994) Appl. Spectrosc. 48, 316–319.
Conde-Gallardo, A., Cruz-Orea, A. & Tomas, S.A. (2004) Appl. Spectrosc. 58, 917–921.
Irudayaraj, J. & Tewari, J. (2003) Appl. Spectrosc. 57, 1599–1604.
Van de Voort, F.R., Sedman, J., Yaylayan, V., Laurent, C.S. & Mucciardi, C. (2004) Appl. Spectrosc. 58, 193–198.
Stewart, D. (1996) Appl. Spectrosc. 50, 357–381.
Hanst, P.L., Spiller, L.L., Watts, D.M., Spence, J.W. & Miller, M.F. (1975) J. Air Pollut. Contr. Assoc. 25, 1220.
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.
Hong, D.W. & Cho, S.Y. (2003) Appl. Spectrosc. 57, 299–308.
Kraft, M., Jakusch, M., Karlowatz, M., Katzir, A. & Mizaikoff, B. (2003) Appl. Spectrosc. 57, 591–599.
Mantz, A.W. (1976) Appl. Spectrosc. 30, 459–461.
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.
Ochiai, S., McClelland, J.F., Kobayashi, K. & Takaoka, K. (1994) Appl. Spectrosc. 48, 1287–1289.
Yamamoto, K. & Ishida, H. (1994) Appl. Spectrosc. 48, 775–787.
Ohta, K. & Iwamoto, R. (1985) Appl. Spectrosc. 39, 418–425.
Fredericks, P.M., Samson, P.J. & Stuart, A.D. (1987) Appl. Spectrosc. 39, 327–329.
Lowry, S., May, T., Bornstein, A., Weissman, Y., Harman, R. & Tugenthaft, I. (1994) Appl. Spectrosc. 48, 852–856.
Poirier, M.A., Lopes, T. & Singh, B.R. (1994) Appl. Spectrosc. 48, 867–870.
Steiner, H., Jakusch, M. & Kraft, M. et al. (2003) Appl. Spectrosc. 57, 607–613.
Katzir, A. & Mizaikoff, B. (2003) Appl. Spectrosc. 57, 823–828.
Schachtschneider, J.H. & Snyder, R.G. (1963) Spectrochimica Acta. 19, 117–168.
Snyder, R.G. & Schachtschneider, J.H. (1965) Spectrochimica Acta. 19, 169–195.
Schachtschneider, J.H. (1964) Shell Development Co. Tech. Repts. 231–264.
Jaiswal, R.M.P. & Crowder, G.A. (1983) Candian J. Spectrosc. 28, 160–164.
Crowder, G.A. & Jaiswal, R.M.P. (1983) J. Mol. Struct. 102, 145–164.
Crowder, G.A. & Jaiswal, R.M.P. (1983) J. Mol. Struct. 99, 93–100.
Jaggi, N. & Jaiswal, R.M.P. (2002) Ind. J.Pure & Appl. Phys. 40, 385–392.
Jaggi, N. & Jaiswal, R.M.P. (2002) Ind. J. Phys. 76B, 297–306.
Jaggi, N. & Jaiswal, R.M.P. (2001) Ind. J. Pure & Appl Phys. 39, 123–129.
Jaggi, N. & Jaiswal, R.M.P. (2000) Ind. J. Phys. 74B, 493–496.
Jaggi, N. & Jaiswal, R.M.P. (2000) Ind. J. Pure & Appl Phys. 38, 69–80.
Powell, J.R., Wasacz, F.M. & Jakobsen, R. J. (1986) Appl. Spectrosc. 40, 339–344.
Heise, H.M., Marbach, R., Koschinsky, T.H. & Gries, F.A. (1994) Appl. Spectrosc. 48, 85–95.
Wallon, J.W., Yan, S.H., Tong, J., Meurens, M. & Haot, J. (1994) Appl. Spectrosc. 48, 190–193.
Zhang, L., Small, G.W., Haka, A.S., Kidder, L.H. & Lewis, E.N. (2003) Appl. Spectrosc. 57, 14–22.
Sowa, M.G. & Mantsch, H.H. (1994) Appl. Spectrosc. 48, 316–319.
Papini, M. (1994) Appl. Spectrosc. 48, 472–476.
O'Neil, S.E. & Fateley, W. (1988) Appl, Spectrosc. 42, 1177–1180.
Arvanitopoulos, C.D. & Koeing, J.L. (1996) Appl. Spectrosc. 50, 1–10.
Walls, D. (1991)Appl. Spectrosc. 45, 1113.
Kandilioti, G., Govaris, G.K. & Gregoriou, V.G. (2004) Appl. Spectrosc. 58, 1082–1092.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights 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
DOI: https://doi.org/10.1007/0-387-37590-2_9
Publisher Name: Springer, Boston, MA
Print ISBN: 978-0-387-32497-5
Online ISBN: 978-0-387-37590-8
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)