Abstract

The refractivity of nitrogen gas has been measured, with high relative precision, at vacuum wavelengths from 4679 Å to 20 586 Å. The absolute value of refractivity for 5462 Å, reduced to one atmosphere at 0°C., is 2.991×10−4. A dispersion formula fitting the data well at 15°C. is 108 (n−1)= 6497.378+3 073 864.9/(144-σ2), where σ is wave number in reciprocal microns. This is compared to Svensson’s dispersion formula for air. Alternative dispersion formulas are discussed. Quantities related to dispersion are deduced: mean absorption frequency, effective total oscillator strength., dielectric constant, Verdet constant, and Rayleigh scattering coefficient.

© 1966 Optical Society of America

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References

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  1. K. Scheel, Ber. Physik. Ges. 5, 24 (1907).
  2. H. Rentschler, Astrophys. J. 28, 345 (1908).
    [CrossRef]
  3. C. Cuthbertson and M. Cuthbertson, Proc. Roy. Soc. (London) 83A, 151 (1910).
  4. J. Koch, Arkiv Math. Astron. Fysik. 9 (No. 6) 1 (1913).
  5. E. Stoll, Ann. Physik 69, 81 (1922).
    [CrossRef]
  6. C. E. Bennett, Phys. Rev. 37, 263 (1931).
    [CrossRef]
  7. J. Tausz and H. Görlacher, Z. Tekhn. Phys. 12, 19, 123 (1931).
  8. P. G. Wilkinson, J. Opt. Soc. Am. 50, 1002 (1960).
    [CrossRef]
  9. D. Schlueter and E. R. Peck, J. Opt. Soc. Am. 48, 313 (1958).
    [CrossRef]
  10. E. R. Peck and B. N. Khanna, J. Opt. Soc. Am. 52, 416 (1962).
    [CrossRef]
  11. E. R. Peck and D. J. Fisher, J. Opt. Soc. Am. 54, 1362 (1964).
    [CrossRef]
  12. J. Hilsenrath, U. S. Natl. Bur. Std. Circ. 564, 317 (1955).
  13. See American Institute of Physics Handbook (McGraw-Hill, New York, 1957), 1st ed., p. 2–99.
  14. Handbook of Chemistry and Physics (Chemical Rubber Publishing Company, Cleveland, 1959), 41st ed., p. 3372.
  15. Reference 14, p. 3366.
  16. E. R. Peck, B. N. Khanna, and N. C. Anderholm, J. Opt. Soc. Am. 52, 536 (1962).
    [CrossRef]
  17. MIT Spectroscopy Laboratory, Tables of Wavelengths (John Wiley & Sons Inc., N. Y., 1939).
  18. K. Svensson, Arkiv Fysik 16, 361 (1960).
  19. G. Herzberg, Molecular Spectra and Molecular Structure (Van Nostrand, New York, 1950), Vol. I, p. 449.
  20. Reference 19, p. 343.
  21. L. Essen and K. D. Froome, Proc. Phys. Soc. (London) B64, 862 (1951).
  22. L. Essen, Proc. Phys. Soc. (London) B66, 139 (1953).
  23. A. Maryott and F. Buckley, U. S. Natl. Bur. Std. Circ. 537, 3 (1953).
  24. L. Ingersoll and D. Liebenberg, J. Opt. Soc. Am. 44, 566 (1954).
    [CrossRef]
  25. L. Rosenfeld, Z. Phys. 57, 835 (1929).
    [CrossRef]
  26. R. Serber, Phys. Rev. 41, 489 (1932).
    [CrossRef]
  27. R. Lageman and F. Slack, Phys. Rev. 49, 807 (1936).
    [CrossRef]
  28. T. George, L. Goldstein, L. Slama, and M. Yokoyama, Phys. Rev. 137, A369 (1965).
    [CrossRef]

1965 (1)

T. George, L. Goldstein, L. Slama, and M. Yokoyama, Phys. Rev. 137, A369 (1965).
[CrossRef]

1964 (1)

1962 (2)

1960 (2)

P. G. Wilkinson, J. Opt. Soc. Am. 50, 1002 (1960).
[CrossRef]

K. Svensson, Arkiv Fysik 16, 361 (1960).

1958 (1)

1955 (1)

J. Hilsenrath, U. S. Natl. Bur. Std. Circ. 564, 317 (1955).

1954 (1)

1953 (2)

L. Essen, Proc. Phys. Soc. (London) B66, 139 (1953).

A. Maryott and F. Buckley, U. S. Natl. Bur. Std. Circ. 537, 3 (1953).

1951 (1)

L. Essen and K. D. Froome, Proc. Phys. Soc. (London) B64, 862 (1951).

1936 (1)

R. Lageman and F. Slack, Phys. Rev. 49, 807 (1936).
[CrossRef]

1932 (1)

R. Serber, Phys. Rev. 41, 489 (1932).
[CrossRef]

1931 (2)

C. E. Bennett, Phys. Rev. 37, 263 (1931).
[CrossRef]

J. Tausz and H. Görlacher, Z. Tekhn. Phys. 12, 19, 123 (1931).

1929 (1)

L. Rosenfeld, Z. Phys. 57, 835 (1929).
[CrossRef]

1922 (1)

E. Stoll, Ann. Physik 69, 81 (1922).
[CrossRef]

1913 (1)

J. Koch, Arkiv Math. Astron. Fysik. 9 (No. 6) 1 (1913).

1910 (1)

C. Cuthbertson and M. Cuthbertson, Proc. Roy. Soc. (London) 83A, 151 (1910).

1908 (1)

H. Rentschler, Astrophys. J. 28, 345 (1908).
[CrossRef]

1907 (1)

K. Scheel, Ber. Physik. Ges. 5, 24 (1907).

Anderholm, N. C.

Bennett, C. E.

C. E. Bennett, Phys. Rev. 37, 263 (1931).
[CrossRef]

Buckley, F.

A. Maryott and F. Buckley, U. S. Natl. Bur. Std. Circ. 537, 3 (1953).

Cuthbertson, C.

C. Cuthbertson and M. Cuthbertson, Proc. Roy. Soc. (London) 83A, 151 (1910).

Cuthbertson, M.

C. Cuthbertson and M. Cuthbertson, Proc. Roy. Soc. (London) 83A, 151 (1910).

Essen, L.

L. Essen, Proc. Phys. Soc. (London) B66, 139 (1953).

L. Essen and K. D. Froome, Proc. Phys. Soc. (London) B64, 862 (1951).

Fisher, D. J.

Froome, K. D.

L. Essen and K. D. Froome, Proc. Phys. Soc. (London) B64, 862 (1951).

George, T.

T. George, L. Goldstein, L. Slama, and M. Yokoyama, Phys. Rev. 137, A369 (1965).
[CrossRef]

Goldstein, L.

T. George, L. Goldstein, L. Slama, and M. Yokoyama, Phys. Rev. 137, A369 (1965).
[CrossRef]

Görlacher, H.

J. Tausz and H. Görlacher, Z. Tekhn. Phys. 12, 19, 123 (1931).

Herzberg, G.

G. Herzberg, Molecular Spectra and Molecular Structure (Van Nostrand, New York, 1950), Vol. I, p. 449.

Hilsenrath, J.

J. Hilsenrath, U. S. Natl. Bur. Std. Circ. 564, 317 (1955).

Ingersoll, L.

Khanna, B. N.

Koch, J.

J. Koch, Arkiv Math. Astron. Fysik. 9 (No. 6) 1 (1913).

Lageman, R.

R. Lageman and F. Slack, Phys. Rev. 49, 807 (1936).
[CrossRef]

Liebenberg, D.

Maryott, A.

A. Maryott and F. Buckley, U. S. Natl. Bur. Std. Circ. 537, 3 (1953).

Peck, E. R.

Rentschler, H.

H. Rentschler, Astrophys. J. 28, 345 (1908).
[CrossRef]

Rosenfeld, L.

L. Rosenfeld, Z. Phys. 57, 835 (1929).
[CrossRef]

Scheel, K.

K. Scheel, Ber. Physik. Ges. 5, 24 (1907).

Schlueter, D.

Serber, R.

R. Serber, Phys. Rev. 41, 489 (1932).
[CrossRef]

Slack, F.

R. Lageman and F. Slack, Phys. Rev. 49, 807 (1936).
[CrossRef]

Slama, L.

T. George, L. Goldstein, L. Slama, and M. Yokoyama, Phys. Rev. 137, A369 (1965).
[CrossRef]

Stoll, E.

E. Stoll, Ann. Physik 69, 81 (1922).
[CrossRef]

Svensson, K.

K. Svensson, Arkiv Fysik 16, 361 (1960).

Tausz, J.

J. Tausz and H. Görlacher, Z. Tekhn. Phys. 12, 19, 123 (1931).

Wilkinson, P. G.

Yokoyama, M.

T. George, L. Goldstein, L. Slama, and M. Yokoyama, Phys. Rev. 137, A369 (1965).
[CrossRef]

Ann. Physik (1)

E. Stoll, Ann. Physik 69, 81 (1922).
[CrossRef]

Arkiv Fysik (1)

K. Svensson, Arkiv Fysik 16, 361 (1960).

Arkiv Math. Astron. Fysik. (1)

J. Koch, Arkiv Math. Astron. Fysik. 9 (No. 6) 1 (1913).

Astrophys. J. (1)

H. Rentschler, Astrophys. J. 28, 345 (1908).
[CrossRef]

Ber. Physik. Ges. (1)

K. Scheel, Ber. Physik. Ges. 5, 24 (1907).

J. Opt. Soc. Am. (6)

Phys. Rev. (4)

C. E. Bennett, Phys. Rev. 37, 263 (1931).
[CrossRef]

R. Serber, Phys. Rev. 41, 489 (1932).
[CrossRef]

R. Lageman and F. Slack, Phys. Rev. 49, 807 (1936).
[CrossRef]

T. George, L. Goldstein, L. Slama, and M. Yokoyama, Phys. Rev. 137, A369 (1965).
[CrossRef]

Proc. Phys. Soc. (London) (2)

L. Essen and K. D. Froome, Proc. Phys. Soc. (London) B64, 862 (1951).

L. Essen, Proc. Phys. Soc. (London) B66, 139 (1953).

Proc. Roy. Soc. (London) (1)

C. Cuthbertson and M. Cuthbertson, Proc. Roy. Soc. (London) 83A, 151 (1910).

U. S. Natl. Bur. Std. Circ. (2)

A. Maryott and F. Buckley, U. S. Natl. Bur. Std. Circ. 537, 3 (1953).

J. Hilsenrath, U. S. Natl. Bur. Std. Circ. 564, 317 (1955).

Z. Phys. (1)

L. Rosenfeld, Z. Phys. 57, 835 (1929).
[CrossRef]

Z. Tekhn. Phys. (1)

J. Tausz and H. Görlacher, Z. Tekhn. Phys. 12, 19, 123 (1931).

Other (6)

MIT Spectroscopy Laboratory, Tables of Wavelengths (John Wiley & Sons Inc., N. Y., 1939).

See American Institute of Physics Handbook (McGraw-Hill, New York, 1957), 1st ed., p. 2–99.

Handbook of Chemistry and Physics (Chemical Rubber Publishing Company, Cleveland, 1959), 41st ed., p. 3372.

Reference 14, p. 3366.

G. Herzberg, Molecular Spectra and Molecular Structure (Van Nostrand, New York, 1950), Vol. I, p. 449.

Reference 19, p. 343.

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Tables (2)

Tables Icon

Table I Measured refractivities of nitrogen at 15°C, standardized to 28352.40×10−8 at 5462.258 Å, and compared with values calculated from Eq. (3).

Tables Icon

Table II Dispersion of Verdet’s constant, as computed from Eq. (3), compared with the measurements of Ingersoll and Liebenberg.a

Equations (31)

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m j λ j = 2 L R j , where L is the cell lenght .
R 1 / R j = m 1 λ 1 / m j λ j .
( n 2 1 ) / ( n 2 + 2 ) density ,
( R 1 / R j ) a / ( R 1 / R j ) b = 1 + 1 6 [ ( R 1 R j ) a ( R 1 R j ) b ] .
P V / R T Z = 1 p ( 317.60 T ) × 10 5 ,
K = T p T 0 Z Z 0 [ 1 + R 0 6 ( 1 p T 0 T ) ] ,
10 6 ( n 1 ) = 299.14 ± 0.10 ( 5462.258 Å and 0 ° C ) .
10 8 ( n 1 ) = 6497.378 + 3 073 864.9 / ( 144 σ 2 ) ( 15 ° C ) ,
10 8 ( n 1 ) = 6855.200 + 3 243 157.0 / ( 144 σ 2 ) ( 0 ° C ) .
10 8 ( n 1 ) = 6686.68 + 2 875 204 144 σ 2 + 24 816 40.9 σ 2 .
10 8 ( n 1 ) = 5 109 702.9 183.69459 σ 2 + 212.949 7.74396 + σ 2 ( 15 ° C ) .
10 8 ( n 1 ) = 5 189 259.2 / ( 186.3764 σ 2 ) ( 15 ° C ) .
10 8 ( n 1 ) = 5 475 062.8 / ( 186.3764 σ 2 ) ( 0 ° C ) .
n 1 = ( e 2 N 1 / 2 π m 0 c 2 ) i [ f i / ( σ i 2 σ 2 ) ] ,
n 1 = A + B / ( σ 0 2 σ 2 ) ,
n 1 = [ f / ( σ m 2 σ 2 ) ] e 2 N 1 / 2 π m 0 c 2 ,
σ m 2 = 186.3764 μ 2 ,
10 8 ( n 1 ) = 5.5939 × 10 6 / ( 189.944 σ 2 ) ( Cuthbertson and Cuthbertson ) .
10 8 ( n 1 ) = 5.3607 × 10 6 / ( 182.585 σ 2 ) ( Tausz and Görlacher ) .
3 2 10 8 n 2 1 n 2 + 1 = 3 953 450 152.294 σ 2 + 837 340 240.651 + σ 2 ( Koch ) .
10 8 ( n 1 ) = 6.3622 × 10 4 45.989 σ 2 + 32 453 × 10 6 1065.11 σ 2 ( Wilkinson ) .
10 8 ( n 1 ) = 3.76527 × 10 5 58.0332 σ 2 + 2 48645 × 10 6 83.7400 + σ 2 .
10 6 ( n 1 ) = 293.77 at 0 ° C .
10 6 ( n 1 ) = 294.1 ± 0.1 at 0 ° C ( Essen Froome ) .
10 6 ( / 0 1 ) = 547.4 , 20 ° C .
10 6 ( / 0 1 ) = 558.0 ± 0.5 .
V = r ( e / 2 m 0 c 2 ) ν d n / d ν ,
V / r = 2.0168 min · G 1 cm 1 ( n 1 A ) σ 2 / ( σ 0 2 σ 2 ) .
V / r = 11.082 × 10 6 min · G 1 cm 1 .
σ R = [ ( n 1 ) 2 π 2 σ 4 / N 1 2 ] sin 2 θ ,
σ R = 0.5182 × 10 28 cm 2 ( 30 ° , 6945.165 Å in vacuo ) .