Abstract

Interference fringes appeared between 6000 and 4095 cm-1 in the infrared spectra of thin water-ice films vapor deposited on an aluminum substrate and probed with grazing-angle Fourier transform infrared reflection–absorption spectroscopy. At grazing incidence the position of the fringe under perpendicularly polarized light (E σ) is 180° out of phase with the position of the fringe under parallel polarized light (E π). This shift in fringe position with polarization offers a convenient way to estimate the thickness (±5%) of water-ice films between 0.5 and 1.4 µm.

© 1999 Optical Society of America

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References

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  1. J. E. Schaff, J. T. Roberts, “Structure sensitivity in the surface chemistry of ice: acetone adsorption on amorphous and crystalline ice films,” J. Phys. Chem. 98, 6900–6902 (1994).
    [CrossRef]
  2. M. A. Zondlo, T. B. Onasch, M. S. Warshawsky, M. A. Tolbert, G. Mallick, P. Arentz, M. S. Robinson, “Experimental studies of vapor-deposited water-ice films using grazing-angle FTIR-reflection absorption spectroscopy,” J. Phys. Chem. B 101, 10887–10895 (1997).
    [CrossRef]
  3. B. W. Callen, K. Griffiths, P. R. Norton, “Observation of free hydroxyl groups on the surface of ultra thin ice layers on Ni(110),” Surf. Sci. Lett. 261, L41–L48 (1992).
    [CrossRef]
  4. J. D. Graham, J. T. Roberts, “Interaction of hydrogen chloride with an ultra thin ice film: observation of adsorbed and absorbed states,” J. Phys. Chem. 98, 5974–5983 (1994).
    [CrossRef]
  5. A. B. Horn, T. G. Koch, M. A. Chesters, M. R. S. McCoustra, J. R. Sodeau, “A low-temperature infrared study of the reactions of the stratospheric NOy reservoir species dinitrogen pentoxide with water ice, 80–160 K,” J. Phys. Chem. 98, 946–951 (1994).
    [CrossRef]
  6. M. R. S. McCoustra, A. B. Horn, “Towards a laboratory strategy for the study of heterogeneous catalysis in stratospheric ozone depletion,” Chem. Soc. Rev. 23, 195–204 (1994).
    [CrossRef]
  7. S. F. Banham, A. B. Horn, T. G. Koch, J. R. Sodeau, “Ionisation and solvation of stratospherically relevant molecules on ice films,” Faraday Discuss. Chem. Soc. 100, 321–332 (1995).
    [CrossRef]
  8. R. G. Greenler, “Infrared study of adsorbed molecules on metal surfaces by reflection techniques,” J. Chem. Phys. 44, 310–315 (1966).
    [CrossRef]
  9. A. B. Horn, S. F. Banham, M. R. S. McCoustra, “Optical effects in the IR reflection-absorption spectra of thin water-ice films on metal substrates,” J. Chem. Soc. Faraday Trans. 91, 4005–4008 (1995).
    [CrossRef]
  10. M. V. Klein, T. E. Furtak, Optics (Wiley, New York, 1986), pp. 74–98.
  11. O. S. Heavens, Optical Properties of Thin Solid Films (Butterworths Scientific, London, 1955), pp. 46–66.
  12. O. B. Toon, M. A. Tolbert, B. G. Koehler, A. M. Middlebrook, J. Jordan, “Infrared optical constants of H2O ice, amorphous nitric aid solutions, and nitric acid hydrates,” J. Geophys. Res. 99, 25,631–25,654 (1994).
    [CrossRef]
  13. D. Y. Smith, E. Shiles, M. Inokuti, “The optical properties of metallic aluminum,” in Handbook of Optical Constants of Solids, E. D. Palik, ed. (Academic, New York, 1985), pp. 369–406.
    [CrossRef]
  14. P. W. Wilson, D. Beaglehole, A. L. DeVries, “Antifreeze glycopeptide adsorption on single crystal ice surfaces using ellipsometry,” Biophys. J. 64, 1878–1884 (1993).
    [CrossRef] [PubMed]
  15. B. S. Berland, D. R. Haynes, K. L. Foster, M. A. Tolbert, S. M. George, O. B. Toon, “Refractive indices of amorphous and crystalline HNO3/H2O films representative of polar stratospheric clouds,” J. Phys. Chem. 98, 4358–4364 (1994).
    [CrossRef]

1997

M. A. Zondlo, T. B. Onasch, M. S. Warshawsky, M. A. Tolbert, G. Mallick, P. Arentz, M. S. Robinson, “Experimental studies of vapor-deposited water-ice films using grazing-angle FTIR-reflection absorption spectroscopy,” J. Phys. Chem. B 101, 10887–10895 (1997).
[CrossRef]

1995

S. F. Banham, A. B. Horn, T. G. Koch, J. R. Sodeau, “Ionisation and solvation of stratospherically relevant molecules on ice films,” Faraday Discuss. Chem. Soc. 100, 321–332 (1995).
[CrossRef]

A. B. Horn, S. F. Banham, M. R. S. McCoustra, “Optical effects in the IR reflection-absorption spectra of thin water-ice films on metal substrates,” J. Chem. Soc. Faraday Trans. 91, 4005–4008 (1995).
[CrossRef]

1994

O. B. Toon, M. A. Tolbert, B. G. Koehler, A. M. Middlebrook, J. Jordan, “Infrared optical constants of H2O ice, amorphous nitric aid solutions, and nitric acid hydrates,” J. Geophys. Res. 99, 25,631–25,654 (1994).
[CrossRef]

J. D. Graham, J. T. Roberts, “Interaction of hydrogen chloride with an ultra thin ice film: observation of adsorbed and absorbed states,” J. Phys. Chem. 98, 5974–5983 (1994).
[CrossRef]

A. B. Horn, T. G. Koch, M. A. Chesters, M. R. S. McCoustra, J. R. Sodeau, “A low-temperature infrared study of the reactions of the stratospheric NOy reservoir species dinitrogen pentoxide with water ice, 80–160 K,” J. Phys. Chem. 98, 946–951 (1994).
[CrossRef]

M. R. S. McCoustra, A. B. Horn, “Towards a laboratory strategy for the study of heterogeneous catalysis in stratospheric ozone depletion,” Chem. Soc. Rev. 23, 195–204 (1994).
[CrossRef]

J. E. Schaff, J. T. Roberts, “Structure sensitivity in the surface chemistry of ice: acetone adsorption on amorphous and crystalline ice films,” J. Phys. Chem. 98, 6900–6902 (1994).
[CrossRef]

B. S. Berland, D. R. Haynes, K. L. Foster, M. A. Tolbert, S. M. George, O. B. Toon, “Refractive indices of amorphous and crystalline HNO3/H2O films representative of polar stratospheric clouds,” J. Phys. Chem. 98, 4358–4364 (1994).
[CrossRef]

1993

P. W. Wilson, D. Beaglehole, A. L. DeVries, “Antifreeze glycopeptide adsorption on single crystal ice surfaces using ellipsometry,” Biophys. J. 64, 1878–1884 (1993).
[CrossRef] [PubMed]

1992

B. W. Callen, K. Griffiths, P. R. Norton, “Observation of free hydroxyl groups on the surface of ultra thin ice layers on Ni(110),” Surf. Sci. Lett. 261, L41–L48 (1992).
[CrossRef]

1966

R. G. Greenler, “Infrared study of adsorbed molecules on metal surfaces by reflection techniques,” J. Chem. Phys. 44, 310–315 (1966).
[CrossRef]

Arentz, P.

M. A. Zondlo, T. B. Onasch, M. S. Warshawsky, M. A. Tolbert, G. Mallick, P. Arentz, M. S. Robinson, “Experimental studies of vapor-deposited water-ice films using grazing-angle FTIR-reflection absorption spectroscopy,” J. Phys. Chem. B 101, 10887–10895 (1997).
[CrossRef]

Banham, S. F.

S. F. Banham, A. B. Horn, T. G. Koch, J. R. Sodeau, “Ionisation and solvation of stratospherically relevant molecules on ice films,” Faraday Discuss. Chem. Soc. 100, 321–332 (1995).
[CrossRef]

A. B. Horn, S. F. Banham, M. R. S. McCoustra, “Optical effects in the IR reflection-absorption spectra of thin water-ice films on metal substrates,” J. Chem. Soc. Faraday Trans. 91, 4005–4008 (1995).
[CrossRef]

Beaglehole, D.

P. W. Wilson, D. Beaglehole, A. L. DeVries, “Antifreeze glycopeptide adsorption on single crystal ice surfaces using ellipsometry,” Biophys. J. 64, 1878–1884 (1993).
[CrossRef] [PubMed]

Berland, B. S.

B. S. Berland, D. R. Haynes, K. L. Foster, M. A. Tolbert, S. M. George, O. B. Toon, “Refractive indices of amorphous and crystalline HNO3/H2O films representative of polar stratospheric clouds,” J. Phys. Chem. 98, 4358–4364 (1994).
[CrossRef]

Callen, B. W.

B. W. Callen, K. Griffiths, P. R. Norton, “Observation of free hydroxyl groups on the surface of ultra thin ice layers on Ni(110),” Surf. Sci. Lett. 261, L41–L48 (1992).
[CrossRef]

Chesters, M. A.

A. B. Horn, T. G. Koch, M. A. Chesters, M. R. S. McCoustra, J. R. Sodeau, “A low-temperature infrared study of the reactions of the stratospheric NOy reservoir species dinitrogen pentoxide with water ice, 80–160 K,” J. Phys. Chem. 98, 946–951 (1994).
[CrossRef]

DeVries, A. L.

P. W. Wilson, D. Beaglehole, A. L. DeVries, “Antifreeze glycopeptide adsorption on single crystal ice surfaces using ellipsometry,” Biophys. J. 64, 1878–1884 (1993).
[CrossRef] [PubMed]

Foster, K. L.

B. S. Berland, D. R. Haynes, K. L. Foster, M. A. Tolbert, S. M. George, O. B. Toon, “Refractive indices of amorphous and crystalline HNO3/H2O films representative of polar stratospheric clouds,” J. Phys. Chem. 98, 4358–4364 (1994).
[CrossRef]

Furtak, T. E.

M. V. Klein, T. E. Furtak, Optics (Wiley, New York, 1986), pp. 74–98.

George, S. M.

B. S. Berland, D. R. Haynes, K. L. Foster, M. A. Tolbert, S. M. George, O. B. Toon, “Refractive indices of amorphous and crystalline HNO3/H2O films representative of polar stratospheric clouds,” J. Phys. Chem. 98, 4358–4364 (1994).
[CrossRef]

Graham, J. D.

J. D. Graham, J. T. Roberts, “Interaction of hydrogen chloride with an ultra thin ice film: observation of adsorbed and absorbed states,” J. Phys. Chem. 98, 5974–5983 (1994).
[CrossRef]

Greenler, R. G.

R. G. Greenler, “Infrared study of adsorbed molecules on metal surfaces by reflection techniques,” J. Chem. Phys. 44, 310–315 (1966).
[CrossRef]

Griffiths, K.

B. W. Callen, K. Griffiths, P. R. Norton, “Observation of free hydroxyl groups on the surface of ultra thin ice layers on Ni(110),” Surf. Sci. Lett. 261, L41–L48 (1992).
[CrossRef]

Haynes, D. R.

B. S. Berland, D. R. Haynes, K. L. Foster, M. A. Tolbert, S. M. George, O. B. Toon, “Refractive indices of amorphous and crystalline HNO3/H2O films representative of polar stratospheric clouds,” J. Phys. Chem. 98, 4358–4364 (1994).
[CrossRef]

Heavens, O. S.

O. S. Heavens, Optical Properties of Thin Solid Films (Butterworths Scientific, London, 1955), pp. 46–66.

Horn, A. B.

A. B. Horn, S. F. Banham, M. R. S. McCoustra, “Optical effects in the IR reflection-absorption spectra of thin water-ice films on metal substrates,” J. Chem. Soc. Faraday Trans. 91, 4005–4008 (1995).
[CrossRef]

S. F. Banham, A. B. Horn, T. G. Koch, J. R. Sodeau, “Ionisation and solvation of stratospherically relevant molecules on ice films,” Faraday Discuss. Chem. Soc. 100, 321–332 (1995).
[CrossRef]

M. R. S. McCoustra, A. B. Horn, “Towards a laboratory strategy for the study of heterogeneous catalysis in stratospheric ozone depletion,” Chem. Soc. Rev. 23, 195–204 (1994).
[CrossRef]

A. B. Horn, T. G. Koch, M. A. Chesters, M. R. S. McCoustra, J. R. Sodeau, “A low-temperature infrared study of the reactions of the stratospheric NOy reservoir species dinitrogen pentoxide with water ice, 80–160 K,” J. Phys. Chem. 98, 946–951 (1994).
[CrossRef]

Inokuti, M.

D. Y. Smith, E. Shiles, M. Inokuti, “The optical properties of metallic aluminum,” in Handbook of Optical Constants of Solids, E. D. Palik, ed. (Academic, New York, 1985), pp. 369–406.
[CrossRef]

Jordan, J.

O. B. Toon, M. A. Tolbert, B. G. Koehler, A. M. Middlebrook, J. Jordan, “Infrared optical constants of H2O ice, amorphous nitric aid solutions, and nitric acid hydrates,” J. Geophys. Res. 99, 25,631–25,654 (1994).
[CrossRef]

Klein, M. V.

M. V. Klein, T. E. Furtak, Optics (Wiley, New York, 1986), pp. 74–98.

Koch, T. G.

S. F. Banham, A. B. Horn, T. G. Koch, J. R. Sodeau, “Ionisation and solvation of stratospherically relevant molecules on ice films,” Faraday Discuss. Chem. Soc. 100, 321–332 (1995).
[CrossRef]

A. B. Horn, T. G. Koch, M. A. Chesters, M. R. S. McCoustra, J. R. Sodeau, “A low-temperature infrared study of the reactions of the stratospheric NOy reservoir species dinitrogen pentoxide with water ice, 80–160 K,” J. Phys. Chem. 98, 946–951 (1994).
[CrossRef]

Koehler, B. G.

O. B. Toon, M. A. Tolbert, B. G. Koehler, A. M. Middlebrook, J. Jordan, “Infrared optical constants of H2O ice, amorphous nitric aid solutions, and nitric acid hydrates,” J. Geophys. Res. 99, 25,631–25,654 (1994).
[CrossRef]

Mallick, G.

M. A. Zondlo, T. B. Onasch, M. S. Warshawsky, M. A. Tolbert, G. Mallick, P. Arentz, M. S. Robinson, “Experimental studies of vapor-deposited water-ice films using grazing-angle FTIR-reflection absorption spectroscopy,” J. Phys. Chem. B 101, 10887–10895 (1997).
[CrossRef]

McCoustra, M. R. S.

A. B. Horn, S. F. Banham, M. R. S. McCoustra, “Optical effects in the IR reflection-absorption spectra of thin water-ice films on metal substrates,” J. Chem. Soc. Faraday Trans. 91, 4005–4008 (1995).
[CrossRef]

M. R. S. McCoustra, A. B. Horn, “Towards a laboratory strategy for the study of heterogeneous catalysis in stratospheric ozone depletion,” Chem. Soc. Rev. 23, 195–204 (1994).
[CrossRef]

A. B. Horn, T. G. Koch, M. A. Chesters, M. R. S. McCoustra, J. R. Sodeau, “A low-temperature infrared study of the reactions of the stratospheric NOy reservoir species dinitrogen pentoxide with water ice, 80–160 K,” J. Phys. Chem. 98, 946–951 (1994).
[CrossRef]

Middlebrook, A. M.

O. B. Toon, M. A. Tolbert, B. G. Koehler, A. M. Middlebrook, J. Jordan, “Infrared optical constants of H2O ice, amorphous nitric aid solutions, and nitric acid hydrates,” J. Geophys. Res. 99, 25,631–25,654 (1994).
[CrossRef]

Norton, P. R.

B. W. Callen, K. Griffiths, P. R. Norton, “Observation of free hydroxyl groups on the surface of ultra thin ice layers on Ni(110),” Surf. Sci. Lett. 261, L41–L48 (1992).
[CrossRef]

Onasch, T. B.

M. A. Zondlo, T. B. Onasch, M. S. Warshawsky, M. A. Tolbert, G. Mallick, P. Arentz, M. S. Robinson, “Experimental studies of vapor-deposited water-ice films using grazing-angle FTIR-reflection absorption spectroscopy,” J. Phys. Chem. B 101, 10887–10895 (1997).
[CrossRef]

Roberts, J. T.

J. E. Schaff, J. T. Roberts, “Structure sensitivity in the surface chemistry of ice: acetone adsorption on amorphous and crystalline ice films,” J. Phys. Chem. 98, 6900–6902 (1994).
[CrossRef]

J. D. Graham, J. T. Roberts, “Interaction of hydrogen chloride with an ultra thin ice film: observation of adsorbed and absorbed states,” J. Phys. Chem. 98, 5974–5983 (1994).
[CrossRef]

Robinson, M. S.

M. A. Zondlo, T. B. Onasch, M. S. Warshawsky, M. A. Tolbert, G. Mallick, P. Arentz, M. S. Robinson, “Experimental studies of vapor-deposited water-ice films using grazing-angle FTIR-reflection absorption spectroscopy,” J. Phys. Chem. B 101, 10887–10895 (1997).
[CrossRef]

Schaff, J. E.

J. E. Schaff, J. T. Roberts, “Structure sensitivity in the surface chemistry of ice: acetone adsorption on amorphous and crystalline ice films,” J. Phys. Chem. 98, 6900–6902 (1994).
[CrossRef]

Shiles, E.

D. Y. Smith, E. Shiles, M. Inokuti, “The optical properties of metallic aluminum,” in Handbook of Optical Constants of Solids, E. D. Palik, ed. (Academic, New York, 1985), pp. 369–406.
[CrossRef]

Smith, D. Y.

D. Y. Smith, E. Shiles, M. Inokuti, “The optical properties of metallic aluminum,” in Handbook of Optical Constants of Solids, E. D. Palik, ed. (Academic, New York, 1985), pp. 369–406.
[CrossRef]

Sodeau, J. R.

S. F. Banham, A. B. Horn, T. G. Koch, J. R. Sodeau, “Ionisation and solvation of stratospherically relevant molecules on ice films,” Faraday Discuss. Chem. Soc. 100, 321–332 (1995).
[CrossRef]

A. B. Horn, T. G. Koch, M. A. Chesters, M. R. S. McCoustra, J. R. Sodeau, “A low-temperature infrared study of the reactions of the stratospheric NOy reservoir species dinitrogen pentoxide with water ice, 80–160 K,” J. Phys. Chem. 98, 946–951 (1994).
[CrossRef]

Tolbert, M. A.

M. A. Zondlo, T. B. Onasch, M. S. Warshawsky, M. A. Tolbert, G. Mallick, P. Arentz, M. S. Robinson, “Experimental studies of vapor-deposited water-ice films using grazing-angle FTIR-reflection absorption spectroscopy,” J. Phys. Chem. B 101, 10887–10895 (1997).
[CrossRef]

O. B. Toon, M. A. Tolbert, B. G. Koehler, A. M. Middlebrook, J. Jordan, “Infrared optical constants of H2O ice, amorphous nitric aid solutions, and nitric acid hydrates,” J. Geophys. Res. 99, 25,631–25,654 (1994).
[CrossRef]

B. S. Berland, D. R. Haynes, K. L. Foster, M. A. Tolbert, S. M. George, O. B. Toon, “Refractive indices of amorphous and crystalline HNO3/H2O films representative of polar stratospheric clouds,” J. Phys. Chem. 98, 4358–4364 (1994).
[CrossRef]

Toon, O. B.

B. S. Berland, D. R. Haynes, K. L. Foster, M. A. Tolbert, S. M. George, O. B. Toon, “Refractive indices of amorphous and crystalline HNO3/H2O films representative of polar stratospheric clouds,” J. Phys. Chem. 98, 4358–4364 (1994).
[CrossRef]

O. B. Toon, M. A. Tolbert, B. G. Koehler, A. M. Middlebrook, J. Jordan, “Infrared optical constants of H2O ice, amorphous nitric aid solutions, and nitric acid hydrates,” J. Geophys. Res. 99, 25,631–25,654 (1994).
[CrossRef]

Warshawsky, M. S.

M. A. Zondlo, T. B. Onasch, M. S. Warshawsky, M. A. Tolbert, G. Mallick, P. Arentz, M. S. Robinson, “Experimental studies of vapor-deposited water-ice films using grazing-angle FTIR-reflection absorption spectroscopy,” J. Phys. Chem. B 101, 10887–10895 (1997).
[CrossRef]

Wilson, P. W.

P. W. Wilson, D. Beaglehole, A. L. DeVries, “Antifreeze glycopeptide adsorption on single crystal ice surfaces using ellipsometry,” Biophys. J. 64, 1878–1884 (1993).
[CrossRef] [PubMed]

Zondlo, M. A.

M. A. Zondlo, T. B. Onasch, M. S. Warshawsky, M. A. Tolbert, G. Mallick, P. Arentz, M. S. Robinson, “Experimental studies of vapor-deposited water-ice films using grazing-angle FTIR-reflection absorption spectroscopy,” J. Phys. Chem. B 101, 10887–10895 (1997).
[CrossRef]

Biophys. J.

P. W. Wilson, D. Beaglehole, A. L. DeVries, “Antifreeze glycopeptide adsorption on single crystal ice surfaces using ellipsometry,” Biophys. J. 64, 1878–1884 (1993).
[CrossRef] [PubMed]

Chem. Soc. Rev.

M. R. S. McCoustra, A. B. Horn, “Towards a laboratory strategy for the study of heterogeneous catalysis in stratospheric ozone depletion,” Chem. Soc. Rev. 23, 195–204 (1994).
[CrossRef]

Faraday Discuss. Chem. Soc.

S. F. Banham, A. B. Horn, T. G. Koch, J. R. Sodeau, “Ionisation and solvation of stratospherically relevant molecules on ice films,” Faraday Discuss. Chem. Soc. 100, 321–332 (1995).
[CrossRef]

J. Chem. Phys.

R. G. Greenler, “Infrared study of adsorbed molecules on metal surfaces by reflection techniques,” J. Chem. Phys. 44, 310–315 (1966).
[CrossRef]

J. Chem. Soc. Faraday Trans.

A. B. Horn, S. F. Banham, M. R. S. McCoustra, “Optical effects in the IR reflection-absorption spectra of thin water-ice films on metal substrates,” J. Chem. Soc. Faraday Trans. 91, 4005–4008 (1995).
[CrossRef]

J. Geophys. Res.

O. B. Toon, M. A. Tolbert, B. G. Koehler, A. M. Middlebrook, J. Jordan, “Infrared optical constants of H2O ice, amorphous nitric aid solutions, and nitric acid hydrates,” J. Geophys. Res. 99, 25,631–25,654 (1994).
[CrossRef]

J. Phys. Chem.

B. S. Berland, D. R. Haynes, K. L. Foster, M. A. Tolbert, S. M. George, O. B. Toon, “Refractive indices of amorphous and crystalline HNO3/H2O films representative of polar stratospheric clouds,” J. Phys. Chem. 98, 4358–4364 (1994).
[CrossRef]

J. E. Schaff, J. T. Roberts, “Structure sensitivity in the surface chemistry of ice: acetone adsorption on amorphous and crystalline ice films,” J. Phys. Chem. 98, 6900–6902 (1994).
[CrossRef]

J. D. Graham, J. T. Roberts, “Interaction of hydrogen chloride with an ultra thin ice film: observation of adsorbed and absorbed states,” J. Phys. Chem. 98, 5974–5983 (1994).
[CrossRef]

A. B. Horn, T. G. Koch, M. A. Chesters, M. R. S. McCoustra, J. R. Sodeau, “A low-temperature infrared study of the reactions of the stratospheric NOy reservoir species dinitrogen pentoxide with water ice, 80–160 K,” J. Phys. Chem. 98, 946–951 (1994).
[CrossRef]

J. Phys. Chem. B

M. A. Zondlo, T. B. Onasch, M. S. Warshawsky, M. A. Tolbert, G. Mallick, P. Arentz, M. S. Robinson, “Experimental studies of vapor-deposited water-ice films using grazing-angle FTIR-reflection absorption spectroscopy,” J. Phys. Chem. B 101, 10887–10895 (1997).
[CrossRef]

Surf. Sci. Lett.

B. W. Callen, K. Griffiths, P. R. Norton, “Observation of free hydroxyl groups on the surface of ultra thin ice layers on Ni(110),” Surf. Sci. Lett. 261, L41–L48 (1992).
[CrossRef]

Other

M. V. Klein, T. E. Furtak, Optics (Wiley, New York, 1986), pp. 74–98.

O. S. Heavens, Optical Properties of Thin Solid Films (Butterworths Scientific, London, 1955), pp. 46–66.

D. Y. Smith, E. Shiles, M. Inokuti, “The optical properties of metallic aluminum,” in Handbook of Optical Constants of Solids, E. D. Palik, ed. (Academic, New York, 1985), pp. 369–406.
[CrossRef]

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Figures (4)

Fig. 1
Fig. 1

Geometry of the planar, isotropic vacuum/dielectric/metal system.

Fig. 2
Fig. 2

(a) Reflection coefficients as a function of angle of incidence (θ1) for a vacuum–dielectric (water–ice) interface [Eqs. (1) and (2)], based on the refractive index of water ice at 6000 cm-1 (n 2 ≈ 1.3)12; the reflection coefficients under σ- and π-polarized light are ρσ and ρπ, respectively. (b) Open triangles represent reflectance at a vacuum–dielectric (water–ice) interface as a function of angle of incidence (θ1) under σ- (R σ) and π- (R π) polarized light [Eq. (3)]. Values are based on the refractive index of water ice at 6000 cm-1 (n 2 ≈ 1.3).12 Filled triangles represent reflectance at a vacuum (n 1 = 1)–metal (Al) interface [Eqs. (5) and (6)]. Values are based on the refractive indices of Al at 6000 cm-1 (n 2 = 1.61 and k 2 = 17.24).13

Fig. 3
Fig. 3

Calculated interference fringes (6000 cm-1, λ = 1667 nm) at four angles of incidence for (a) σ-polarized and (b) π-polarized light, based on the optical equations for a vacuum/water ice/Al system formulated by Greenler.8 The refractive indices for water ice at 6000 cm-1 are n 2 = 1.294 and k 2 = 0.000227.12 The refractive indices for Al at 6000 cm-1 are n 3 = 1.61 and k 3 = 17.24.13

Fig. 4
Fig. 4

(a) Calculated and (b) experimental grazing-angle (θ1 = 83°) FTIR RAS spectra of water ice on an Al substrate under σ- (E σ) and π- (E π) polarized light. Film thickness (d) is known exactly in the calculated data and is determined to ±5% in the experimental data by use of Eq. (7) (Eσ) or Eq. (8) (Eπ).

Equations (9)

Equations on this page are rendered with MathJax. Learn more.

ρσ=-sinθ1-θ2sinθ1+θ2,
ρπ=tanθ1-θ2tanθ1+θ2,
R=E-E+2=|ρ|2.
θB=arctann2/n1,
Rσ=n32+k32cos2θ1-2n3 cosθ1+1n32+k32cos2θ1+2n3 cosθ1+1,
Rπ=n32+k32-2n3 cosθ1+cos2θ1n32+k32+2n3 cosθ1+cos2θ1.
d=m+1/2λ2n2cosθ2-n1 sinθ1tanθ2,  m=0, 1, 2.
d=mλ2n2cosθ2-n1 sinθ1tanθ2,  m=0, 1, 2.
A=-logR/R0.

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