Abstract

By the minimum deviation method using a prism shaped cell, the absolute refractive indices of high-performance liquid chromatography distilled water were measured at the wavelengths from 1129 to 182  nm, at the temperature of 19  °C, 21 .5  °C, and 24  °C, and then dn∕dt at 21 .5  °C was calculated. The coefficients of the four-term Sellmeier dispersion formula were determined by using the refractive indices at each temperature. As a result of the comparison of our refractive index data in the visible wavelength region with the formula by Tilton et al. at the National Bureau of Standards in 1938, both the refractive index data corresponded within 6×106. In the UV region, the absolute refractive index at 193.39  nm calculated by the data measured nearby the wavelengths from 200 to 190   nm was 1.436517 (21 .5  °C). The value was lower by 9×105 or 10×105 than the data measured by Burnett et al. at the National Institute of Standards and Technology.

© 2007 Optical Society of America

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  1. I. Thormählen, J. Straub, and U. Grigull, "Refractive index of water and its dependence on wavelength, temperature, and density," J. Phys. Chem. Ref. Data 14, 933-945 (1985).
    [CrossRef]
  2. P. Schiebener, J. Straub, J. M. H. L. Sengers, and J. S. Gallagher, "Refractive index of water and steam as function of wavelength, temperature and density," J. Phys. Chem. Ref. Data 19, 677-717 (1990).
    [CrossRef]
  3. A. H. Harvey, J. S. Gallagher, and J. M. H. L. Sengers, "Revised formulation for the refractive index of water and steam as a function of wavelength, temperature and density," J. Phys. Chem. Ref. Data 27, 761-774 (1998).
    [CrossRef]
  4. L. W. Tilton and J. K. Taylor, "Refractive index and dispersion of distilled water for visible radiation at temperatures 0 to 60 °C," J. Res. Natl. Bur. Stand. 20, 419-477 (1938).
  5. J. H. Burnett and S. G. Kaplan, "Measurement of the refractive index and thermo-optic coefficient of water near 193 nm," J. Microlithogr., Microfabr., Microsyst. 3, 68-72 (2004).
    [CrossRef]
  6. G.-J. Ulbrich and J. Trede, "Goniometer-spectrometer for index of refraction measurements from the near UV through the IR," in Proc. SPIE 1327, 32-39 (1990).
  7. M. Daimon and A. Masumura, "High-accuracy measurements of the refractive index and its temperature coefficient of calcium fluoride in a wide wavelength range from 138 to 2326 nm," Appl. Opt. 41, 5275-5281 (2002).
    [CrossRef] [PubMed]
  8. J. Reader, N. Acquista, C. J. Sansonetti, and J. E. Sansonetti, "Wavelengths and intensities of a platinum/neon hollow cathode lamp in the region 1100-4000 Å," Astrophys. J. Suppl. Ser. 72, 831-866 (1990).
    [CrossRef]
  9. J. E. Sansonetti, C. J. Sansonetti, J. Reader, N. Acquista, A. M. Sansonetti, and R. A. Dragoset, "Atlas of the spectrum of a platinum/neon hollow-cathode lamp in the region 1130-4330 Å," http://physics.nist.gov/PhysRefData/platinum/contents.html.
  10. E. R. Peck and B. N. Khanna, "Dispersion of nitrogen," J. Opt. Soc. Am. 56, 1059-1063 (1966).
    [CrossRef]
  11. U. Griesmann and J. H. Burnett, "Refractivity of nitrogen gas in the vacuum ultraviolet," Opt. Lett. 24, 1699-1701 (1999).
    [CrossRef]
  12. J. Koch, "UÜber die dispersion des lichtes in gasförmigen körpern innerhalb des ultravioletten spektrums," Arkiv Mat. Astron. Fys. 9, 1-11 (1913).
  13. M. Halmann and I. Platzner, "Temperature dependence of absorption of liquid water in the far-ultraviolet region," J. Phys. Chem. 70, 580-581 (1966).
    [CrossRef]
  14. L. R. Painter, R. D. Birkhoff, and E. T. Arakawa, "Optical measurements of liquid water in the vacuum ultraviolet," J. Chem. Phys. 51, 243-251 (1969).
    [CrossRef]
  15. G. M. Hale and M. R. Querry, "Optical constants of water in the 200-nm to 200-μm wavelength region," Appl. Opt. 12, 555-563 (1973).
    [CrossRef] [PubMed]
  16. B. Edlén, "The refractive index of air," Metrologia 2, 71-80 (1966).
    [CrossRef]
  17. R. Gupta and S. G. Kaplan, "High accuracy ultraviolet index of refraction measurements using a Fourier transform spectrometer," J. Res. Natl. Inst. Stand. Technol. 108, 429-437 (2003).
  18. V. Kaufman and B. Edlén, "Reference wavelengths from atomic spectra in the range 15 Å to 25000 Å," J. Phys. Chem. Ref. Data 3, 825-895 (1974).
    [CrossRef]
  19. A. H. Harvey, S. G. Kaplan, and J. H. Burnett, "Effect of dissolved air on the density and refractive index of water," Int. J. Thermophys. 26, 1495-1514 (2005).
    [CrossRef]
  20. R. Gupta, J. H. Burnett, U. Griesmann, and M. Walhout, "Absolute refractive indices and thermal coefficients of fused silica and calcium fluoride near 193 nm," Appl. Opt. 37, 5964-5968 (1998).
    [CrossRef]

2005 (1)

A. H. Harvey, S. G. Kaplan, and J. H. Burnett, "Effect of dissolved air on the density and refractive index of water," Int. J. Thermophys. 26, 1495-1514 (2005).
[CrossRef]

2004 (1)

J. H. Burnett and S. G. Kaplan, "Measurement of the refractive index and thermo-optic coefficient of water near 193 nm," J. Microlithogr., Microfabr., Microsyst. 3, 68-72 (2004).
[CrossRef]

2003 (1)

R. Gupta and S. G. Kaplan, "High accuracy ultraviolet index of refraction measurements using a Fourier transform spectrometer," J. Res. Natl. Inst. Stand. Technol. 108, 429-437 (2003).

2002 (1)

1999 (1)

1998 (2)

R. Gupta, J. H. Burnett, U. Griesmann, and M. Walhout, "Absolute refractive indices and thermal coefficients of fused silica and calcium fluoride near 193 nm," Appl. Opt. 37, 5964-5968 (1998).
[CrossRef]

A. H. Harvey, J. S. Gallagher, and J. M. H. L. Sengers, "Revised formulation for the refractive index of water and steam as a function of wavelength, temperature and density," J. Phys. Chem. Ref. Data 27, 761-774 (1998).
[CrossRef]

1990 (3)

P. Schiebener, J. Straub, J. M. H. L. Sengers, and J. S. Gallagher, "Refractive index of water and steam as function of wavelength, temperature and density," J. Phys. Chem. Ref. Data 19, 677-717 (1990).
[CrossRef]

G.-J. Ulbrich and J. Trede, "Goniometer-spectrometer for index of refraction measurements from the near UV through the IR," in Proc. SPIE 1327, 32-39 (1990).

J. Reader, N. Acquista, C. J. Sansonetti, and J. E. Sansonetti, "Wavelengths and intensities of a platinum/neon hollow cathode lamp in the region 1100-4000 Å," Astrophys. J. Suppl. Ser. 72, 831-866 (1990).
[CrossRef]

1985 (1)

I. Thormählen, J. Straub, and U. Grigull, "Refractive index of water and its dependence on wavelength, temperature, and density," J. Phys. Chem. Ref. Data 14, 933-945 (1985).
[CrossRef]

1974 (1)

V. Kaufman and B. Edlén, "Reference wavelengths from atomic spectra in the range 15 Å to 25000 Å," J. Phys. Chem. Ref. Data 3, 825-895 (1974).
[CrossRef]

1973 (1)

1969 (1)

L. R. Painter, R. D. Birkhoff, and E. T. Arakawa, "Optical measurements of liquid water in the vacuum ultraviolet," J. Chem. Phys. 51, 243-251 (1969).
[CrossRef]

1966 (3)

B. Edlén, "The refractive index of air," Metrologia 2, 71-80 (1966).
[CrossRef]

E. R. Peck and B. N. Khanna, "Dispersion of nitrogen," J. Opt. Soc. Am. 56, 1059-1063 (1966).
[CrossRef]

M. Halmann and I. Platzner, "Temperature dependence of absorption of liquid water in the far-ultraviolet region," J. Phys. Chem. 70, 580-581 (1966).
[CrossRef]

1938 (1)

L. W. Tilton and J. K. Taylor, "Refractive index and dispersion of distilled water for visible radiation at temperatures 0 to 60 °C," J. Res. Natl. Bur. Stand. 20, 419-477 (1938).

1913 (1)

J. Koch, "UÜber die dispersion des lichtes in gasförmigen körpern innerhalb des ultravioletten spektrums," Arkiv Mat. Astron. Fys. 9, 1-11 (1913).

Acquista, N.

J. Reader, N. Acquista, C. J. Sansonetti, and J. E. Sansonetti, "Wavelengths and intensities of a platinum/neon hollow cathode lamp in the region 1100-4000 Å," Astrophys. J. Suppl. Ser. 72, 831-866 (1990).
[CrossRef]

J. E. Sansonetti, C. J. Sansonetti, J. Reader, N. Acquista, A. M. Sansonetti, and R. A. Dragoset, "Atlas of the spectrum of a platinum/neon hollow-cathode lamp in the region 1130-4330 Å," http://physics.nist.gov/PhysRefData/platinum/contents.html.

Arakawa, E. T.

L. R. Painter, R. D. Birkhoff, and E. T. Arakawa, "Optical measurements of liquid water in the vacuum ultraviolet," J. Chem. Phys. 51, 243-251 (1969).
[CrossRef]

Birkhoff, R. D.

L. R. Painter, R. D. Birkhoff, and E. T. Arakawa, "Optical measurements of liquid water in the vacuum ultraviolet," J. Chem. Phys. 51, 243-251 (1969).
[CrossRef]

Burnett, J. H.

A. H. Harvey, S. G. Kaplan, and J. H. Burnett, "Effect of dissolved air on the density and refractive index of water," Int. J. Thermophys. 26, 1495-1514 (2005).
[CrossRef]

J. H. Burnett and S. G. Kaplan, "Measurement of the refractive index and thermo-optic coefficient of water near 193 nm," J. Microlithogr., Microfabr., Microsyst. 3, 68-72 (2004).
[CrossRef]

U. Griesmann and J. H. Burnett, "Refractivity of nitrogen gas in the vacuum ultraviolet," Opt. Lett. 24, 1699-1701 (1999).
[CrossRef]

R. Gupta, J. H. Burnett, U. Griesmann, and M. Walhout, "Absolute refractive indices and thermal coefficients of fused silica and calcium fluoride near 193 nm," Appl. Opt. 37, 5964-5968 (1998).
[CrossRef]

Daimon, M.

Dragoset, R. A.

J. E. Sansonetti, C. J. Sansonetti, J. Reader, N. Acquista, A. M. Sansonetti, and R. A. Dragoset, "Atlas of the spectrum of a platinum/neon hollow-cathode lamp in the region 1130-4330 Å," http://physics.nist.gov/PhysRefData/platinum/contents.html.

Edlén, B.

V. Kaufman and B. Edlén, "Reference wavelengths from atomic spectra in the range 15 Å to 25000 Å," J. Phys. Chem. Ref. Data 3, 825-895 (1974).
[CrossRef]

B. Edlén, "The refractive index of air," Metrologia 2, 71-80 (1966).
[CrossRef]

Gallagher, J. S.

A. H. Harvey, J. S. Gallagher, and J. M. H. L. Sengers, "Revised formulation for the refractive index of water and steam as a function of wavelength, temperature and density," J. Phys. Chem. Ref. Data 27, 761-774 (1998).
[CrossRef]

P. Schiebener, J. Straub, J. M. H. L. Sengers, and J. S. Gallagher, "Refractive index of water and steam as function of wavelength, temperature and density," J. Phys. Chem. Ref. Data 19, 677-717 (1990).
[CrossRef]

Griesmann, U.

Grigull, U.

I. Thormählen, J. Straub, and U. Grigull, "Refractive index of water and its dependence on wavelength, temperature, and density," J. Phys. Chem. Ref. Data 14, 933-945 (1985).
[CrossRef]

Gupta, R.

R. Gupta and S. G. Kaplan, "High accuracy ultraviolet index of refraction measurements using a Fourier transform spectrometer," J. Res. Natl. Inst. Stand. Technol. 108, 429-437 (2003).

R. Gupta, J. H. Burnett, U. Griesmann, and M. Walhout, "Absolute refractive indices and thermal coefficients of fused silica and calcium fluoride near 193 nm," Appl. Opt. 37, 5964-5968 (1998).
[CrossRef]

Hale, G. M.

Halmann, M.

M. Halmann and I. Platzner, "Temperature dependence of absorption of liquid water in the far-ultraviolet region," J. Phys. Chem. 70, 580-581 (1966).
[CrossRef]

Harvey, A. H.

A. H. Harvey, S. G. Kaplan, and J. H. Burnett, "Effect of dissolved air on the density and refractive index of water," Int. J. Thermophys. 26, 1495-1514 (2005).
[CrossRef]

A. H. Harvey, J. S. Gallagher, and J. M. H. L. Sengers, "Revised formulation for the refractive index of water and steam as a function of wavelength, temperature and density," J. Phys. Chem. Ref. Data 27, 761-774 (1998).
[CrossRef]

Kaplan, S. G.

A. H. Harvey, S. G. Kaplan, and J. H. Burnett, "Effect of dissolved air on the density and refractive index of water," Int. J. Thermophys. 26, 1495-1514 (2005).
[CrossRef]

J. H. Burnett and S. G. Kaplan, "Measurement of the refractive index and thermo-optic coefficient of water near 193 nm," J. Microlithogr., Microfabr., Microsyst. 3, 68-72 (2004).
[CrossRef]

R. Gupta and S. G. Kaplan, "High accuracy ultraviolet index of refraction measurements using a Fourier transform spectrometer," J. Res. Natl. Inst. Stand. Technol. 108, 429-437 (2003).

Kaufman, V.

V. Kaufman and B. Edlén, "Reference wavelengths from atomic spectra in the range 15 Å to 25000 Å," J. Phys. Chem. Ref. Data 3, 825-895 (1974).
[CrossRef]

Khanna, B. N.

Koch, J.

J. Koch, "UÜber die dispersion des lichtes in gasförmigen körpern innerhalb des ultravioletten spektrums," Arkiv Mat. Astron. Fys. 9, 1-11 (1913).

Masumura, A.

Painter, L. R.

L. R. Painter, R. D. Birkhoff, and E. T. Arakawa, "Optical measurements of liquid water in the vacuum ultraviolet," J. Chem. Phys. 51, 243-251 (1969).
[CrossRef]

Peck, E. R.

Platzner, I.

M. Halmann and I. Platzner, "Temperature dependence of absorption of liquid water in the far-ultraviolet region," J. Phys. Chem. 70, 580-581 (1966).
[CrossRef]

Querry, M. R.

Reader, J.

J. Reader, N. Acquista, C. J. Sansonetti, and J. E. Sansonetti, "Wavelengths and intensities of a platinum/neon hollow cathode lamp in the region 1100-4000 Å," Astrophys. J. Suppl. Ser. 72, 831-866 (1990).
[CrossRef]

J. E. Sansonetti, C. J. Sansonetti, J. Reader, N. Acquista, A. M. Sansonetti, and R. A. Dragoset, "Atlas of the spectrum of a platinum/neon hollow-cathode lamp in the region 1130-4330 Å," http://physics.nist.gov/PhysRefData/platinum/contents.html.

Sansonetti, A. M.

J. E. Sansonetti, C. J. Sansonetti, J. Reader, N. Acquista, A. M. Sansonetti, and R. A. Dragoset, "Atlas of the spectrum of a platinum/neon hollow-cathode lamp in the region 1130-4330 Å," http://physics.nist.gov/PhysRefData/platinum/contents.html.

Sansonetti, C. J.

J. Reader, N. Acquista, C. J. Sansonetti, and J. E. Sansonetti, "Wavelengths and intensities of a platinum/neon hollow cathode lamp in the region 1100-4000 Å," Astrophys. J. Suppl. Ser. 72, 831-866 (1990).
[CrossRef]

J. E. Sansonetti, C. J. Sansonetti, J. Reader, N. Acquista, A. M. Sansonetti, and R. A. Dragoset, "Atlas of the spectrum of a platinum/neon hollow-cathode lamp in the region 1130-4330 Å," http://physics.nist.gov/PhysRefData/platinum/contents.html.

Sansonetti, J. E.

J. Reader, N. Acquista, C. J. Sansonetti, and J. E. Sansonetti, "Wavelengths and intensities of a platinum/neon hollow cathode lamp in the region 1100-4000 Å," Astrophys. J. Suppl. Ser. 72, 831-866 (1990).
[CrossRef]

J. E. Sansonetti, C. J. Sansonetti, J. Reader, N. Acquista, A. M. Sansonetti, and R. A. Dragoset, "Atlas of the spectrum of a platinum/neon hollow-cathode lamp in the region 1130-4330 Å," http://physics.nist.gov/PhysRefData/platinum/contents.html.

Schiebener, P.

P. Schiebener, J. Straub, J. M. H. L. Sengers, and J. S. Gallagher, "Refractive index of water and steam as function of wavelength, temperature and density," J. Phys. Chem. Ref. Data 19, 677-717 (1990).
[CrossRef]

Sengers, J. M. H. L.

A. H. Harvey, J. S. Gallagher, and J. M. H. L. Sengers, "Revised formulation for the refractive index of water and steam as a function of wavelength, temperature and density," J. Phys. Chem. Ref. Data 27, 761-774 (1998).
[CrossRef]

P. Schiebener, J. Straub, J. M. H. L. Sengers, and J. S. Gallagher, "Refractive index of water and steam as function of wavelength, temperature and density," J. Phys. Chem. Ref. Data 19, 677-717 (1990).
[CrossRef]

Straub, J.

P. Schiebener, J. Straub, J. M. H. L. Sengers, and J. S. Gallagher, "Refractive index of water and steam as function of wavelength, temperature and density," J. Phys. Chem. Ref. Data 19, 677-717 (1990).
[CrossRef]

I. Thormählen, J. Straub, and U. Grigull, "Refractive index of water and its dependence on wavelength, temperature, and density," J. Phys. Chem. Ref. Data 14, 933-945 (1985).
[CrossRef]

Taylor, J. K.

L. W. Tilton and J. K. Taylor, "Refractive index and dispersion of distilled water for visible radiation at temperatures 0 to 60 °C," J. Res. Natl. Bur. Stand. 20, 419-477 (1938).

Thormählen, I.

I. Thormählen, J. Straub, and U. Grigull, "Refractive index of water and its dependence on wavelength, temperature, and density," J. Phys. Chem. Ref. Data 14, 933-945 (1985).
[CrossRef]

Tilton, L. W.

L. W. Tilton and J. K. Taylor, "Refractive index and dispersion of distilled water for visible radiation at temperatures 0 to 60 °C," J. Res. Natl. Bur. Stand. 20, 419-477 (1938).

Trede, J.

G.-J. Ulbrich and J. Trede, "Goniometer-spectrometer for index of refraction measurements from the near UV through the IR," in Proc. SPIE 1327, 32-39 (1990).

Ulbrich, G.-J.

G.-J. Ulbrich and J. Trede, "Goniometer-spectrometer for index of refraction measurements from the near UV through the IR," in Proc. SPIE 1327, 32-39 (1990).

Walhout, M.

Appl. Opt. (3)

Arkiv Mat. Astron. Fys. (1)

J. Koch, "UÜber die dispersion des lichtes in gasförmigen körpern innerhalb des ultravioletten spektrums," Arkiv Mat. Astron. Fys. 9, 1-11 (1913).

Astrophys. J. Suppl. Ser. (1)

J. Reader, N. Acquista, C. J. Sansonetti, and J. E. Sansonetti, "Wavelengths and intensities of a platinum/neon hollow cathode lamp in the region 1100-4000 Å," Astrophys. J. Suppl. Ser. 72, 831-866 (1990).
[CrossRef]

Int. J. Thermophys. (1)

A. H. Harvey, S. G. Kaplan, and J. H. Burnett, "Effect of dissolved air on the density and refractive index of water," Int. J. Thermophys. 26, 1495-1514 (2005).
[CrossRef]

J. Chem. Phys. (1)

L. R. Painter, R. D. Birkhoff, and E. T. Arakawa, "Optical measurements of liquid water in the vacuum ultraviolet," J. Chem. Phys. 51, 243-251 (1969).
[CrossRef]

J. Microlithogr., Microfabr., Microsyst. (1)

J. H. Burnett and S. G. Kaplan, "Measurement of the refractive index and thermo-optic coefficient of water near 193 nm," J. Microlithogr., Microfabr., Microsyst. 3, 68-72 (2004).
[CrossRef]

J. Opt. Soc. Am. (1)

J. Phys. Chem. (1)

M. Halmann and I. Platzner, "Temperature dependence of absorption of liquid water in the far-ultraviolet region," J. Phys. Chem. 70, 580-581 (1966).
[CrossRef]

J. Phys. Chem. Ref. Data (4)

I. Thormählen, J. Straub, and U. Grigull, "Refractive index of water and its dependence on wavelength, temperature, and density," J. Phys. Chem. Ref. Data 14, 933-945 (1985).
[CrossRef]

P. Schiebener, J. Straub, J. M. H. L. Sengers, and J. S. Gallagher, "Refractive index of water and steam as function of wavelength, temperature and density," J. Phys. Chem. Ref. Data 19, 677-717 (1990).
[CrossRef]

A. H. Harvey, J. S. Gallagher, and J. M. H. L. Sengers, "Revised formulation for the refractive index of water and steam as a function of wavelength, temperature and density," J. Phys. Chem. Ref. Data 27, 761-774 (1998).
[CrossRef]

V. Kaufman and B. Edlén, "Reference wavelengths from atomic spectra in the range 15 Å to 25000 Å," J. Phys. Chem. Ref. Data 3, 825-895 (1974).
[CrossRef]

J. Res. Natl. Bur. Stand. (1)

L. W. Tilton and J. K. Taylor, "Refractive index and dispersion of distilled water for visible radiation at temperatures 0 to 60 °C," J. Res. Natl. Bur. Stand. 20, 419-477 (1938).

J. Res. Natl. Inst. Stand. Technol. (1)

R. Gupta and S. G. Kaplan, "High accuracy ultraviolet index of refraction measurements using a Fourier transform spectrometer," J. Res. Natl. Inst. Stand. Technol. 108, 429-437 (2003).

Metrologia (1)

B. Edlén, "The refractive index of air," Metrologia 2, 71-80 (1966).
[CrossRef]

Opt. Lett. (1)

Other (2)

J. E. Sansonetti, C. J. Sansonetti, J. Reader, N. Acquista, A. M. Sansonetti, and R. A. Dragoset, "Atlas of the spectrum of a platinum/neon hollow-cathode lamp in the region 1130-4330 Å," http://physics.nist.gov/PhysRefData/platinum/contents.html.

G.-J. Ulbrich and J. Trede, "Goniometer-spectrometer for index of refraction measurements from the near UV through the IR," in Proc. SPIE 1327, 32-39 (1990).

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Figures (11)

Fig. 1
Fig. 1

Sketch of refractive index measurement of liquid by the minimum deviation method using a prism shaped cell.

Fig. 2
Fig. 2

Residuals in the approximation by Sellmeier dispersion formula for the refractive index measurements from 1129 to 182   nm .

Fig. 3
Fig. 3

Comparisons of (a) our refractive index measurements, and (b) our dn∕dt measurements with the formulas of NBS. Δ n and Δ d n / d t , which are vertical axes, show the differences (our measurements-formula of NBS).

Fig. 4
Fig. 4

Comparison between refractive index measurements of HPLC water at 21.5 ° C and the formula of Harvey.

Fig. 5
Fig. 5

Comparison of our refractive index measurements with the dispersion formula of Harvey. Δ n shows the difference (our measurements-dispersion formula of Harvey).

Fig. 6
Fig. 6

Residuals between the measurement values arid the quadratic and the third-order dispersion formula determined by using the refractive index measurements from 198.9 to 191 .6   nm ( 21 .5   ° C ) .

Fig. 7
Fig. 7

Comparison of the measurements of NIST with the dispersion formula determined by using our refractive index measurements. Δ n shows the difference (NIST measurements–our third-order dispersion formula).

Fig. 8
Fig. 8

Residuals between the measurement values of dn∕dt and the quadratic dispersion formula determined by using the dn∕dt measurements from 198.9 to 191.6   nm ( 21 .5   ° C ) .

Fig. 9
Fig. 9

Comparison of dn∕dt among our measurements, the NIST measurements and the NBS formula. The values of NIST were read off the graph in its paper.

Fig. 10
Fig. 10

Comparison between each measurement value of NIST and our measurement values with Cu lamp after revising its wavelength. Δ n shows the difference (each measurement value minus our third-order dispersion formula).

Fig. 11
Fig. 11

Differences of refractive indices between three kinds of water and HPLC water. Δn shows the difference (refractive index of each kind of water-refractive index of HPLC water).

Tables (6)

Tables Icon

Table 1 Absolute Refractive Indices and d n ∕d t of HPLC Water

Tables Icon

Table 2 Sellmeier Dispersion Constants for Absolute Refractive Index of HPLC Water

Tables Icon

Table 3 Estimation of Uncertainty

Tables Icon

Table 4 Dispersion Constants of Absolute Refractive Index of Distilled Water Between 198.9 nm and 191.6 nm at 21.5 °C

Tables Icon

Table 5 Comparison of Absolute Refractive Index Measurements at 193.39 nm and 21.5 °C

Tables Icon

Table 6 Comparison of d n ∕d t abs Near 193 nm at 21.5 °C

Equations (4)

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

n rel = sin [ ( θ + δ ) / 2 ] sin ( θ / 2 ) .
n 2 1 = i = 1 4 A i λ 2 λ 2 λ i 2 ,
n = i = 0 m a i ( λ 193.39 ) i .
d n a b s d t = 9.020 × 10 5 1.39 × 10 6 × ( λ 193.39 ) + 6.1 × 10 8 × ( λ 193.39 ) 2 .

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