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Near-Field Optics and Surface Plasmon Polaritons pp 163–187Cite as

Surface-Enhanced Infrared Absorption

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Part of the book series: Topics in Applied Physics ((TAP,volume 81))

Abstract

Molecules adsorbed on metal island films or particles exhibit 10-1000 times more intense infrared absorption than would be expected from conventional measurements without the metal. This effect is referred to as surface-enhanced infrared absorption (SEIRA) to emphasize the similarities with surface-enhanced Raman scattering (SERS). The electromagnetic interactions of the incident photon field with the metal and molecules play predominant roles in this effect. The chemical interactions of the molecules with the surface can give additional enhancement. The enhancement mechanisms and some applications of SEIRA.

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References

  1. R. K. Chang, T. E. Furtak, Surface Enhanced Raman Scattering (Plenum, New York 1982)

    Google Scholar 

  2. H. Metiu, Surface Enhanced Spectroscopy, Prog. Surf. Sci. 17, 153–320 (1984)

    Article  ADS  Google Scholar 

  3. M. Moskovits, Surface-enhanced spectroscopy, Rev. Mod. Phys. 57, 783–826 (1985)

    Article  ADS  Google Scholar 

  4. A. Otto, I. Mrozeck, H. Grabhorn, W. Akemann, Surface-enhanced Raman scattering, J. Phys. Condens. Matter 4, 1143–1212 (1992)

    Article  ADS  Google Scholar 

  5. A. Hartstein, J. R. Kirtley, J. C. Tsang, Enhancement in the infrared absorption from molecular monolayers with thin metal overlayers, Phys. Rev. Lett. 45, 201–204 (1980)

    Article  ADS  Google Scholar 

  6. A. Hatta, T. Ohshima, W. Suëtaka, Observation of the enhanced infrared absorption of p-nitrobenzoate on Ag island films with an ATR technique, J. Appl. Phys. A 29, 71–75 (1982)

    Article  ADS  Google Scholar 

  7. A. Hatta, Y. Suzuki, W. Suëtaka, Infrared absorption enhancement of monolayer species on thin evaporated Ag films by use of a Kretschmann configuration, Evidence for two types of enhanced surface electric fields, Appl. Phys. A 35, 135–140 (1984)

    Article  ADS  Google Scholar 

  8. M. Osawa, Dynamic processes in electrochemical reactions studied by surface-enhanced infrared absorption spectroscopy (SEIRAS), Bull. Chem. Soc. Jpn. 70, 2861–2880 (1997)

    Article  Google Scholar 

  9. Y. Nishikawa, K. Fujiwara, T. Shima, A Study of the qualitative and quantitative analysis of nanogram samples by transmission infrared spectroscopy with the use of silver island films, Appl. Spectrosc. 45, 747–751 (1991)

    Article  ADS  Google Scholar 

  10. M. Osawa, M. Ikeda, Surface-enhanced infrared absorption of p-nitrobenzoic acid deposited on silver island films: contribution of electromagnetic and chemical mechanisms, J. Phys. Chem. 95, 9914–9919 (1991)

    Article  Google Scholar 

  11. Y. Nishikawa, K. Fujiwara, K. Ataka, M. Osawa, Surface-enhanced external reflection spectroscopy at low reflective surfaces and its application to surface analysis of semiconductors, glasses, and polymers, Anal. Chem. 65, 556–562 (1993)

    Article  Google Scholar 

  12. S. J. Lee, K. Kim, Diffuse reflectance infrared spectra of stearic acid self-assembled on fine silver particles, Vib. Spectrosc. 18, 187–201 (1998)

    Article  ADS  Google Scholar 

  13. M. Osawa, M. Kuramitsu, A. Hatta, W. Suëtaka, H. Seki, Electromagnetic effect in enhanced infrared absorption of adsorbed molecules on thin metal films, Surf. Sci. Lett. 175, L787–L793 (1986)

    Article  Google Scholar 

  14. Y. Suzuki, M. Osawa, A. Hatta, W. Suëtaka, Mechanism of absorption enhancement in infrared ATR spectra observed in the Kretschmann configuration, Appl. Surf. Sci. 33/34, 875–881 (1988)

    Article  Google Scholar 

  15. Y. Nishikawa, T. Nagasawa, K. Fujiwara, M. Osawa, Silver island films for surface-enhanced infrared absorption spectroscopy: effect of island morphology on the absorption enhancement, Vib. Spectrosc. 6, 43–53 (1993)

    Article  Google Scholar 

  16. G.-Q. Lu, S.-G. Sun, S. P. Chen, L.-R. Cai, Novel properties of dispersed Pt and Pd thin layers supported on GC for CO adsorption studied using in situ MSFTIR reflection spectroscopy, J. Electroanal. Chem. 421, 19–23 (1997)

    Article  Google Scholar 

  17. G.-Q. Lu, S.-G. Sun, L.-R. Cai, S.-P. Chen, Z.-W. Tian, In situ FTIR spectroscopic studies of adsorption of CO, SCN-, and poly(o-phenylenediamine) on electrodes of nanometer thin films of Pt, Pd, and Rh: Abnormal infrared effects (AIREs), Langmuir 16, 778–786 (2000)

    Article  Google Scholar 

  18. H. D. Wanzenböck, B. Mizaikoff, N. Weissenbacher, R. Kellner, Surface enhanced infrared absorption spectroscopy (SEIRA) using external reflection on low-cost substrates, Fresenius J. Anal. Chem. 362, 15–20 (1998)

    Article  Google Scholar 

  19. A. E. Bjerke, P. R. Griffiths, W. Theiss, Surface-enhanced infrared absorption of CO on platinized platinum, Anal. Chem. 71, 1967–1974 (1999)

    Article  Google Scholar 

  20. S. Y. Kang, I. C. Jeon, K. Kim, Infrared absorption enhancement at silver colloidal particles, Appl. Spectrosc. 52, 278–283 (1998)

    Article  ADS  Google Scholar 

  21. J. A. Seelenbinder, C. W. Brown, P. Pivarnik, A. G. Rand, Colloidal gold filtrates as a metal substrates for surface-enhanced infrared absorption spectroscopy, Anal. Chem. 71, 1963–1966 (1999)

    Article  Google Scholar 

  22. T. Kamata, A. Kato, J. Umemura, T. Takenaka, Intensity enhancement of infrared attenuated total reflection spectra of stearic acid Langmuir-Blodgett monolayers with evaporated silver island films, Langmuir 3, 1150–1154 (1987)

    Article  Google Scholar 

  23. A. Hatta, N. Suzuki, Y. Suzuki, W. Suëtaka, Infrared absorption of polycyanoacrylate enhanced by Ag island films in the Kretschmann’s ATR geometry, The coverage dependence, Appl. Surf. Sci. 37, 299–305 (1989)

    Article  ADS  Google Scholar 

  24. E. Johnson, R. Aroca, Surface-enhanced infrared spectroscopy of monolayers, J. Phys. Chem. 99, 9325–9330 (1995)

    Article  Google Scholar 

  25. M. Osawa, K. Yoshii, In situ and real-time surface-enhanced infrared study of electrochemical reactions, Appl. Spectrosc. 51, 512–518 (1997)

    Article  ADS  Google Scholar 

  26. M. Osawa, K. Ataka, K. Yoshii, Y. Nishikawa, Surface-enhanced infrared spectroscopy: the origin of the absorption enhancement and band selection rule in the infrared spectra of molecules adsorbed on fine metal particles, Appl. Spectrosc. 47, 1497–1502 (1993)

    Article  ADS  Google Scholar 

  27. F. M. Hoffmann, Infrared reflection-absorption spectroscopy of adsorbed molecules, Surf. Sci. Rep. 3, 107–192 (1983)

    Article  ADS  Google Scholar 

  28. W.-B. Cai, L.-J. Wan, H. Noda, Y. Hibino, K. Ataka, M. Osawa, Orientational phase transition in a pyridine adlayer on gold(111), Langmuir 14, 6992–6998 (1998)

    Article  Google Scholar 

  29. H. Noda, T. Minoha, L.-J. Wan, M. Osawa, Adsorption and ordered phase formation of 2,2’-bypyridine on Au(111): a combined surface-enhanced infrared and STM study, J. Electroanal. Chem. 481, 62–68 (2000)

    Article  Google Scholar 

  30. L.-J. Wan, M. Terashima, H. Noda, M. Osawa, Molecular orientation and ordered structure of benzenethiol adsorbed on gold(111), J. Phys. Chem. B 104, 3563–3569 (2000)

    Article  Google Scholar 

  31. G. T. Merklin, P. R. Griffith, Influence of chemical interactions on the surfaceenhanced infrared absorption spectrometry of nitrophenols on copper and silver films, Langmuir 13, 6159–6163 (1997)

    Article  Google Scholar 

  32. O. Krauth, G. Fahsold, A. Pucci, Asymmetric line shapes and surface enhanced infrared absorption of CO adsorbed on thin Fe films on MgO(001), J. Chem. Phys. 110, 3113–3117 (1999)

    Article  ADS  Google Scholar 

  33. A. Wakaun, Surface-enhanced electromagnetic processes, in Solid State Physics, H. Ehrenreich, D. Turnbull (Eds.) (Academic, New York, 1984) 38, pp. 223–294

    Google Scholar 

  34. J. I. Gersten, A. Nitzan, Photophysics and photochemistry near surfaces and small particles, Surf. Sci. 158, 165–189 (1985)

    Article  ADS  Google Scholar 

  35. M. Osawa, K. Ataka, Electromagnetic mechanism of enhanced infrared absorption of molecules adsorbed on metal island films, Surf. Sci. Lett. 262, L118–L122 (1992)

    Article  ADS  Google Scholar 

  36. B. N. J. Persson, R. Ryberg, Vibrational interaction between molecules adsorbed on a metal surface: the dipole-dipole interactions, Phys. Rev. B 24, 6954–6970 (1981)

    Article  ADS  Google Scholar 

  37. B. N. J. Persson, A. Liebsch, Collective vibrational models of isotope mixture of CO on Cu(111) and Cu(001), Surf. Sci. 110, 356–368 (1981)

    Article  ADS  Google Scholar 

  38. P. Dumas, R. G. Tobin, P. Richards, Study of adsorption states and interactions of CO on evaporated noble metal surfaces by infrared absorption spectroscopy. 1. Silver, Surf. Sci. 171, 555–578 (1986)

    Article  ADS  Google Scholar 

  39. Y. Nishikawa, K. Fujiwara, T. Shima, Quantitative analysis of nanogram samples with Fourier transform infrared transmission surface electromagnetic wave spectroscopy, Appl. Spectrosc. 44, 691–694 (1990)

    Article  ADS  Google Scholar 

  40. S. A. Johnson, N.-H. Pham, V. J. Novick, V. A. Maroni, Application of surface-enhanced infrared absorption spectroscopy as a sensor for volatile organic compounds, Appl. Spectrosc. 51, 1423–1426 (1997)

    Article  ADS  Google Scholar 

  41. K. Ito, K. Hayashi, Y. Hamanaka, M. Yamamoto, T. Araki, K. Iriyama, Infrared and Raman scattering spectroscopic study on the structures of Langmuir-Blodgett monolayers contacting a merocyanine dye, Langmuir 8, 140–147 (1992)

    Article  Google Scholar 

  42. M. Osawa, N. Matsuda, K. Yoshii, I. Uchida, Charge transfer resonance Raman process in surface-enhanced Raman scattering from p-aminothiophenol adsorbed on silver: Herzberg-Teller contribution, J. Phys. Chem. 98, 12702–12707 (1994)

    Article  Google Scholar 

  43. C. Kuhne, G. Steiner, W. B. Fischer, R. Salze, Surface-enhanced FTIR spectroscopy on membranes, Fresenius J. Anal. Chem. 360, 750–754 (1998)

    Article  Google Scholar 

  44. R. Aroca, R. Bujalski, Surface-enhanced vibrational spectra of thymine, Vib. Spectrosc. 19, 11–12 (1999)

    Article  Google Scholar 

  45. G. T. Merklin, L.-T. He, P. R. Griffiths, Surface-enhanced infrared absorption spectrometry of p-nitorothiophenol and its disulfide, Appl. Spectrosc. 53, 1448–1453 (1999)

    Article  ADS  Google Scholar 

  46. R. Kellner, B. Mizaikoff, M. Jakusch, H. D. Wanzenböck, N. Weissenbacher, Surface-enhanced vibrational spectroscopy: A new tool in chemical IR sensing?, Appl. Spectrosc. 51, 495–503 (1997)

    Article  ADS  Google Scholar 

  47. H. D. Wanzenböck, B. Mizaikoff, N. Weissenbacher, R. Kellner, Multiple internal reflection in surface enhanced infrared absorption spectroscopy (SEIRA) and its significance for various analyte groups, J. Mol. Struct. 410-411, 535–538 (1997)

    Article  ADS  Google Scholar 

  48. C. W. Brown, Y. Li, J. A. Seelenbinder, P. Pivarnik, A. G. Rand, S. V. Letcher, O. J. Gregory, and M. J. Platek, Immunoassays based on surface-enhanced infrared absorption spectroscopy, Anal. Chem. 70, 2991–2996 (1998)

    Article  Google Scholar 

  49. Y. Zhu, H. Uchida, M. Watanabe, Oxidation of carbon monoxide at a platinum film electrodes studied by Fourier transform infrared spectroscopy with attenuated total reflection technique, Langmuir 15, 8757–8764 (1999)

    Article  Google Scholar 

  50. M. Watanabe, Y. Zhu, H. Uchida, Oxidation of CO on a Pt-Fe alloy electrode studied by surface-enhanced infrared reflection-absorption spectroscopy, J. Phys. Chem. 104, 1762–1768 (2000)

    Google Scholar 

  51. S. Sato, K. Kamada, M. Osawa, Surface-enhanced IR absorption (SEIRA) on small Pt particles deposited on an island Au film, Chem. Lett., 15–16 (1999)

    Google Scholar 

  52. Y. Nishikawa, K. Fujiwara, M. Osawa, K. Takamura, Trace analysis of human skin secretions by surface-enhanced infrared spectroscopy: Detection of Lactate, Anal. Sci. 9, 811–815 (1993)

    Article  Google Scholar 

  53. Y. Nishikawa, K. Fujiwara, K. Takamura, Trace analysis of residual additives on the surface of cultivated fruits by surface-enhanced infrared spectroscopy, Bunseki Kagaku 43, 425–429 (1994)

    Google Scholar 

  54. M. Osawa, K. Yoshii, K. Ataka, T. Yotsuyanagi, Real-time monitoring of electrochemical dynamics by submillisecond time-resolved surface-enhanced infrared attenuated-total-reflection spectroscopy, Langmuir 10, 640–642 (1994)

    Article  Google Scholar 

  55. M. Osawa, K. Yoshii, Y. Hibino, T. Nakano, I. Noda, Two-dimensional infrared correlation analysis of electrochemical reactions, J. Electroanal. Chem. 426, 11–16 (1997)

    Article  Google Scholar 

  56. H. Noda, K. Ataka, L.-J. Wan, M. Osawa, Time-resolved surface-enhanced infrared study of molecular adsorption at the electrochemical interface, Surf. Sci. 427–428, 190–194 (1999)

    Article  Google Scholar 

  57. K. Ataka, Y. Hara, M. Osawa, A new approach to electrode kinetics and dynamics by potential-modulated Fourier transform infrared spectroscopy, J. Electroanal. Chem. 473, 34–42 (1999)

    Article  Google Scholar 

  58. K. Ataka, G. Nishina, W.-B. Cai, S.-G. Sun, M. Osawa, Dynamics of the dissolution of an underpotentially deposited Cu layer on Au(111): A combined time-resolved surface-enhanced infrared and chronocoulometric study, Electrochem. Commun. 2, 417–421 (2000)

    Article  Google Scholar 

  59. S. Yoshida, T. Yamaguchi, A. Kimbara, Optical properties of aggregated silver films, J. Opt. Soc. Am. 61, 62 (1971)

    Article  ADS  Google Scholar 

  60. W. N. Hansen, J. Opt. Soc. Am. 58, 380 (1968)

    Article  ADS  Google Scholar 

  61. P. N. Sanda, J. E. Demuth, J. C. Tsang, J. M. Warlaumont, Coverage dependence, in Surface Enhanced Raman Scattering, R. K. Chang, T. E. Furtak (Eds.) (Plenum, New York 1982), pp. 189–221

    Google Scholar 

  62. A. Röseler, E.-H. Korte, The optical constant of metallic island films as used for surface enhanced infrared absorption, Thin Solid Films 313-314, 732–736 (1998)

    Article  Google Scholar 

  63. G. A. Niklasson, C. G. Granqvist, Optical properties and solar selectivity of coevaporated Co-Al2O3 composite films, J. Appl. Phys. 55, 3382–3410 (1984)

    Article  ADS  Google Scholar 

  64. B. A. Maxwell-Garnett, Philos. Trans. Royal. Soc. A 203, 385–420 (1904)

    Article  ADS  Google Scholar 

  65. D. A. G. Bruggemann, Berechnung verschiedener physikalischer Konstanten von heterogenen Substanzen, Ann. Phys. (Leipzig) 24, 636–664 (1935)

    ADS  Google Scholar 

  66. C. F. Eagen, Nature of the enhanced optical absorption of dye-coated Ag island films, Appl. Opt. 20, 3035–3042 (1981)

    Article  ADS  Google Scholar 

  67. E. C. Stoner, The demagneitizing factors for ellipsoids, Philos. Mag. 7, 803–820 (1945)

    Google Scholar 

  68. T. Yamaguchi, S. Yoshida, A. Kimbara, Continuous ellipsometric determination of optical constants and thickness of a silver film during deposition, Jpn. J. Appl. Phys. 8, 559–567 (1969)

    Article  ADS  Google Scholar 

  69. M. R. Johnson, W. W. Christy, Optical constants of the noble metals, Phys. Rev. B 6, 4370 (1972)

    Article  ADS  Google Scholar 

  70. M. Osawa, K. Ataka, K. Yoshii, T. Yotsuyanagi, Surface-enhanced infrared ATR spectroscopy for in situ studies of electrode/electrolyte interfaces, J. Electron Spectrosc. Relat. Phenom. 64/65, 371–379 (1993)

    Article  Google Scholar 

  71. M. Osawa, K. Ataka, M. Ikeda, H. Uchihara, R. Nanba, Surface-enhanced infrared absorption spectroscopy: Mechanism and application to trace analysis, Anal. Sci. 7 (Suppl.), 503–506 (1991)

    Article  Google Scholar 

  72. R. Aroca, B. Price, A New Surface for surface-enhanced infrared spectroscopy: Tin island films, J. Phys. Chem. B 101, 6537–6540 (1997)

    Article  Google Scholar 

  73. T. Yoshidome, T. Inoue, S. Kamata, Intensity enhancement of the infrared transmission spectra of p-nitrobenzoic acid by the presence of the Pb films, Chem. Lett. 6, 533–534 (1997)

    Article  Google Scholar 

  74. J. P. Devlin, K. Consani, Metal surface spectroscopy, Charge transfer and totally symmetric mode activity, J. Phys. Chem. 85, 2597–2598 (1981)

    Article  Google Scholar 

  75. T. Wadayama, T. Sakurai, S. Ichikawa, W. Suëtaka, Charge-transfer enhancement in the infrared absorption of thiocyanate ions adsorbed on a gold electrode in the Kretschmann configuration, Surf. Sci. 198, L359–L364 (1988)

    Article  Google Scholar 

  76. T. Wadayama, Y. Momota, A. Hatta, W. Suëtaka, Polarization modulation IR spectroscopic study of electrochemically generated species from TCNQ at a gold electrode in the Kretschmann ATR geometry, J. Electroanal. Chem. 289, 29–36 (1990)

    Article  Google Scholar 

  77. R. J. Nichols, IR spectroscopy of molecules at the solid-solution interface, in Adsorption of molecules at metal electrodes, J. Lipkowski, P. N. Ross (Eds.) (VCH, New York 1992) Chap. 7

    Google Scholar 

  78. K. P. Ishida, P. R. Griffiths, Theoretical and experimental investigation of internal reflection at thin copper films exposed to aqueous solutions, Anal. Chem. 66, 522–530 (1994)

    Article  Google Scholar 

  79. K. Ataka, T. Yotsuyanagi, M. Osawa, Potential—dependent reorientation of water molecules at an electrode/electrolyte interface studied by surface-enhanced infrared absorption spectroscopy, J. Phys. Chem. 100, 10664–10672 (1996)

    Article  Google Scholar 

  80. S.-G. Sun, W.-B. Cai, L.-J. Wan, M. Osawa, Infrared absorption enhancement for CO adsorbed on Au films in perchloric acid solutions and effects of surface structure studied by cyclic voltammetry, scanning tunneling microscopy, and surface-enhanced IR spectroscopy, J. Phys. Chem. 103, 2460–2466 (1999)

    Google Scholar 

  81. K. Ataka, M. Osawa, In situ infrared study of water-sulfate coadsorption on gold(111) in sulfuric acid solution, Langmuir 14, 951–959 (1998)

    Article  Google Scholar 

  82. K. Ataka, M. Osawa, In situ infrared study of cytosine adsorption on gold electrodes, J. Electroanal. Chem. 460, 188–196 (1999)

    Article  Google Scholar 

  83. I. Taniguchi, S. Yoshimoto, Y. Sunatani, K. Nishiyama, Potential and pH dependencies of adsorbed species of 2,4-pyridinethiol and 2-pyrimidinethiol on Au(111) electrode, Electrochem. 67, 1197–1199 (1999)

    Google Scholar 

  84. M. Hoon-Khosla, W. R. Fawcett, A. Chen, J. Lipkowski, B. Pettinger, A SNIFTIR study of the adsorption of pyridine at the Au(111) electrode-solution interface, Electrochim. Acta 45, 611–621 (1999)

    Article  Google Scholar 

  85. L. Stolberg, S. Morin, J. Lipkowski, D. E. Irish, Adsorption of pyridine at the Au(111)-solution interface, J. Electroanal. Chem. 307, 241–262 (1991)

    Article  Google Scholar 

  86. Z. Q. Feng, T. Sagara, K. Niki, Application of potential-modulated UV-visible reflectance spectroscopy to electron transfer rate measurements for adsorbed species on electrode surfaces, Anal. Chem. 67, 3564–3570 (1995)

    Article  Google Scholar 

  87. J.-N. Chazalviel, V. M. Dubin, K. C. Mandel, F. Ozanam, Modulated infrared spectroscopy at the electrochemical interface, Appl. Spectrosc. 64/65, 1411–1416 (1993)

    Article  ADS  Google Scholar 

  88. C. M. Pharr, P. R. Griffiths, Step-scan FT-IR spectroelectrochemical analysis of surface and solution species in the ferricyanide/ferocyanide redox couple, Anal. Chem. 69, 4665–4672 (1997)

    Article  Google Scholar 

  89. L.-J. Wan, H. Noda, Y. Hara, M. Osawa, Effect of solution pH of a 4-mercaptopyridine monolayer self-assembled on Au(111), J. Electroanal. Chem. (2000) (in press)

    Google Scholar 

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  1. Catalysis Research Center, Hokkaido University, Sapporo, 060-0811, Japan

    Masatoshi Osawa

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  1. Department of Applied Physics, Osaka University, Suita, Osaka, 565-0871, Japan

    Satoshi Kawata

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Osawa, M. (2001). Surface-Enhanced Infrared Absorption. In: Kawata, S. (eds) Near-Field Optics and Surface Plasmon Polaritons. Topics in Applied Physics, vol 81. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44552-8_9

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