Abstract

The refractivity of helium computed from experimental measurements made at 15 different wavelengths by use of a corner-reflector Michelson interferometer, and computed from recent theoretical values of oscillator strength at 26 different wavelengths, is reported. The experimental measurements range from 4801 to 20586 Å. The absolute refractivity at 760 torr, 0°C, 5462.258 Å is 3.4950×10−5. A dispersion formula describing the data is

(n-1)×105=1470.091/(423.98-σ2).

Other dispersion formulas are discussed. The experimental and theoretical computations are compared with the experimental and theoretical work of various authors. The comparison includes computations of effective F values, absorption wavelength, dielectric constant, molecular polarizability, and Verdet constant.

© 1969 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. John W. Strutt and Rayleigh, Proc. Roy. Soc. (London) 59, 198 (1896).
  2. W. Ramsay and M. W. Travers, Proc. Roy. Soc. (London) 67, 329 (1901).
  3. W. Burton, Proc. Roy. Soc. (London) 80, 390 (1908).
    [Crossref]
  4. C. Cuthbertson and M. Cuthbertson, Proc. Roy. Soc. (London) 80, 411 (1908).
    [Crossref]
  5. C. Cuthbertson and M. Cuthbertson, Proc. Roy. Soc. (London) 84, 13 (1910).
    [Crossref]
  6. J. Koch, Ark. Mat. Astr. Fys. 9, 1 (1913).
  7. C. Cuthbertson and M. Cuthbertson, Proc. Roy. Soc. (London) 135, 40 (1932).
    [Crossref]
  8. D. J. Schlueter and E. R. Peck, J. Opt. Soc. Am. 48, 313 (1958).
    [Crossref]
  9. E. R. Peck and B. N. Khanna, J. Opt. Soc. Am. 52, 416 (1962).
    [Crossref]
  10. E. R. Peck and D. J. Fisher, J. Opt. Soc. Am. 54, 1362 (1964).
    [Crossref]
  11. E. R. Peck and S. W. Obetz, J. Opt. Soc. Am. 43, 505 (1953).
    [Crossref] [PubMed]
  12. E. R. Peck, J. Opt. Soc. Am. 45, 795 (1955).
    [Crossref]
  13. D. White, J. Phys. Chem. 64, 1607 (1960).
    [Crossref]
  14. W. E. Forsythe, Ed., Smithsonian Physical Tables (Smithsonian Institution, Washington, D. C., 1959), p. 714.
  15. K. L. Gentili, M.S. thesis, University of Idaho (1966).
  16. E. R. Peck, B. N. Khanna, and N. C. Anderholm, J. Opt. Soc. Am. 52, 536 (1962).
    [Crossref]
  17. M. I. T. Spectroscopy Laboratory, Tables of Wavelength (John Wiley & Sons, Inc., New York, 1939).
  18. , Trans. Intern. Astron. Un.9, 201 (1957).
  19. E. R. Peck and B. N. Khanna, J. Opt. Soc. Am. 56, 1059 (1966).
    [Crossref]
  20. J. P. Vinti, Phys. Rev. 42, 632 (1932).
    [Crossref]
  21. J. A. Wheeler, Phys. Rev. 43, 258 (1933).
    [Crossref]
  22. J. Korwin, Z. Physik 91, 1 (1934).
    [Crossref]
  23. R. Migneron and J. S. Levinger, Phys. Rev. 139, A647 (1965).
    [Crossref]
  24. M. Karplus and J. J. Kolker, J. Chem. Phys. 39, 2997 (1963).
    [Crossref]
  25. B. Musulin and S. T. Epstein, Phys. Rev. 136, 966 (1964).
    [Crossref]
  26. A. Dalgarno and N. Lynn, Proc. Phys. Soc. (London) 70, 802 (1957).
    [Crossref]
  27. A. Dalgarno and A. E. Kingston, Proc. Phys. Soc. (London) 259A, 424 (1960).
  28. Y. M. Chan and A. Dalgarno, Proc. Phys. Soc. (London) 85, 227 (1965).
    [Crossref]
  29. W. L. Wiese, M. W. Smith, and B. M. Glennon, Atomic Transition Probabilities, NBS Natl. Std. Ref. Data System 4, Vol. 1, (U. S. Government Printing Office, Washington, D. C., 1953), p. 11.
  30. A. Dalgarno and A. L. Stewart, Proc. Phys. Soc. (London) 76, 49 (1960).
    [Crossref]
  31. B. H. Branson and A. Dalgarno, Proc. Phys. Soc. (London) 66, 911 (1953).
  32. A. L. Stewart and T. G. Webb, Proc. Phys. Soc. (London) 82, 532 (1963).
    [Crossref]
  33. D. T. Chung and R. P. Hurst, Phys. Rev. 152, 35 (1966).
    [Crossref]
  34. A. A. Maryott and F. Buckley, Table of Dielectric Constants and Electric Dipole Moments of Substances in the Gaseous State, NBS Circ. 537 (U. S. Government Printing Office, Washington, D. C., 1953), p. 3.
  35. L. R. Ingersoll and D. H. Liebenberg, J. Opt. Soc. Am. 46, 538 (1956).
    [Crossref]

1966 (2)

E. R. Peck and B. N. Khanna, J. Opt. Soc. Am. 56, 1059 (1966).
[Crossref]

D. T. Chung and R. P. Hurst, Phys. Rev. 152, 35 (1966).
[Crossref]

1965 (2)

R. Migneron and J. S. Levinger, Phys. Rev. 139, A647 (1965).
[Crossref]

Y. M. Chan and A. Dalgarno, Proc. Phys. Soc. (London) 85, 227 (1965).
[Crossref]

1964 (2)

B. Musulin and S. T. Epstein, Phys. Rev. 136, 966 (1964).
[Crossref]

E. R. Peck and D. J. Fisher, J. Opt. Soc. Am. 54, 1362 (1964).
[Crossref]

1963 (2)

M. Karplus and J. J. Kolker, J. Chem. Phys. 39, 2997 (1963).
[Crossref]

A. L. Stewart and T. G. Webb, Proc. Phys. Soc. (London) 82, 532 (1963).
[Crossref]

1962 (2)

1960 (3)

D. White, J. Phys. Chem. 64, 1607 (1960).
[Crossref]

A. Dalgarno and A. E. Kingston, Proc. Phys. Soc. (London) 259A, 424 (1960).

A. Dalgarno and A. L. Stewart, Proc. Phys. Soc. (London) 76, 49 (1960).
[Crossref]

1958 (1)

1957 (1)

A. Dalgarno and N. Lynn, Proc. Phys. Soc. (London) 70, 802 (1957).
[Crossref]

1956 (1)

1955 (1)

1953 (2)

E. R. Peck and S. W. Obetz, J. Opt. Soc. Am. 43, 505 (1953).
[Crossref] [PubMed]

B. H. Branson and A. Dalgarno, Proc. Phys. Soc. (London) 66, 911 (1953).

1934 (1)

J. Korwin, Z. Physik 91, 1 (1934).
[Crossref]

1933 (1)

J. A. Wheeler, Phys. Rev. 43, 258 (1933).
[Crossref]

1932 (2)

J. P. Vinti, Phys. Rev. 42, 632 (1932).
[Crossref]

C. Cuthbertson and M. Cuthbertson, Proc. Roy. Soc. (London) 135, 40 (1932).
[Crossref]

1913 (1)

J. Koch, Ark. Mat. Astr. Fys. 9, 1 (1913).

1910 (1)

C. Cuthbertson and M. Cuthbertson, Proc. Roy. Soc. (London) 84, 13 (1910).
[Crossref]

1908 (2)

W. Burton, Proc. Roy. Soc. (London) 80, 390 (1908).
[Crossref]

C. Cuthbertson and M. Cuthbertson, Proc. Roy. Soc. (London) 80, 411 (1908).
[Crossref]

1901 (1)

W. Ramsay and M. W. Travers, Proc. Roy. Soc. (London) 67, 329 (1901).

1896 (1)

John W. Strutt and Rayleigh, Proc. Roy. Soc. (London) 59, 198 (1896).

Anderholm, N. C.

Branson, B. H.

B. H. Branson and A. Dalgarno, Proc. Phys. Soc. (London) 66, 911 (1953).

Buckley, F.

A. A. Maryott and F. Buckley, Table of Dielectric Constants and Electric Dipole Moments of Substances in the Gaseous State, NBS Circ. 537 (U. S. Government Printing Office, Washington, D. C., 1953), p. 3.

Burton, W.

W. Burton, Proc. Roy. Soc. (London) 80, 390 (1908).
[Crossref]

Chan, Y. M.

Y. M. Chan and A. Dalgarno, Proc. Phys. Soc. (London) 85, 227 (1965).
[Crossref]

Chung, D. T.

D. T. Chung and R. P. Hurst, Phys. Rev. 152, 35 (1966).
[Crossref]

Cuthbertson, C.

C. Cuthbertson and M. Cuthbertson, Proc. Roy. Soc. (London) 135, 40 (1932).
[Crossref]

C. Cuthbertson and M. Cuthbertson, Proc. Roy. Soc. (London) 84, 13 (1910).
[Crossref]

C. Cuthbertson and M. Cuthbertson, Proc. Roy. Soc. (London) 80, 411 (1908).
[Crossref]

Cuthbertson, M.

C. Cuthbertson and M. Cuthbertson, Proc. Roy. Soc. (London) 135, 40 (1932).
[Crossref]

C. Cuthbertson and M. Cuthbertson, Proc. Roy. Soc. (London) 84, 13 (1910).
[Crossref]

C. Cuthbertson and M. Cuthbertson, Proc. Roy. Soc. (London) 80, 411 (1908).
[Crossref]

Dalgarno, A.

Y. M. Chan and A. Dalgarno, Proc. Phys. Soc. (London) 85, 227 (1965).
[Crossref]

A. Dalgarno and A. E. Kingston, Proc. Phys. Soc. (London) 259A, 424 (1960).

A. Dalgarno and A. L. Stewart, Proc. Phys. Soc. (London) 76, 49 (1960).
[Crossref]

A. Dalgarno and N. Lynn, Proc. Phys. Soc. (London) 70, 802 (1957).
[Crossref]

B. H. Branson and A. Dalgarno, Proc. Phys. Soc. (London) 66, 911 (1953).

Epstein, S. T.

B. Musulin and S. T. Epstein, Phys. Rev. 136, 966 (1964).
[Crossref]

Fisher, D. J.

Gentili, K. L.

K. L. Gentili, M.S. thesis, University of Idaho (1966).

Glennon, B. M.

W. L. Wiese, M. W. Smith, and B. M. Glennon, Atomic Transition Probabilities, NBS Natl. Std. Ref. Data System 4, Vol. 1, (U. S. Government Printing Office, Washington, D. C., 1953), p. 11.

Hurst, R. P.

D. T. Chung and R. P. Hurst, Phys. Rev. 152, 35 (1966).
[Crossref]

Ingersoll, L. R.

Karplus, M.

M. Karplus and J. J. Kolker, J. Chem. Phys. 39, 2997 (1963).
[Crossref]

Khanna, B. N.

Kingston, A. E.

A. Dalgarno and A. E. Kingston, Proc. Phys. Soc. (London) 259A, 424 (1960).

Koch, J.

J. Koch, Ark. Mat. Astr. Fys. 9, 1 (1913).

Kolker, J. J.

M. Karplus and J. J. Kolker, J. Chem. Phys. 39, 2997 (1963).
[Crossref]

Korwin, J.

J. Korwin, Z. Physik 91, 1 (1934).
[Crossref]

Levinger, J. S.

R. Migneron and J. S. Levinger, Phys. Rev. 139, A647 (1965).
[Crossref]

Liebenberg, D. H.

Lynn, N.

A. Dalgarno and N. Lynn, Proc. Phys. Soc. (London) 70, 802 (1957).
[Crossref]

Maryott, A. A.

A. A. Maryott and F. Buckley, Table of Dielectric Constants and Electric Dipole Moments of Substances in the Gaseous State, NBS Circ. 537 (U. S. Government Printing Office, Washington, D. C., 1953), p. 3.

Migneron, R.

R. Migneron and J. S. Levinger, Phys. Rev. 139, A647 (1965).
[Crossref]

Musulin, B.

B. Musulin and S. T. Epstein, Phys. Rev. 136, 966 (1964).
[Crossref]

Obetz, S. W.

Peck, E. R.

Ramsay, W.

W. Ramsay and M. W. Travers, Proc. Roy. Soc. (London) 67, 329 (1901).

Rayleigh,

John W. Strutt and Rayleigh, Proc. Roy. Soc. (London) 59, 198 (1896).

Schlueter, D. J.

Smith, M. W.

W. L. Wiese, M. W. Smith, and B. M. Glennon, Atomic Transition Probabilities, NBS Natl. Std. Ref. Data System 4, Vol. 1, (U. S. Government Printing Office, Washington, D. C., 1953), p. 11.

Stewart, A. L.

A. L. Stewart and T. G. Webb, Proc. Phys. Soc. (London) 82, 532 (1963).
[Crossref]

A. Dalgarno and A. L. Stewart, Proc. Phys. Soc. (London) 76, 49 (1960).
[Crossref]

Strutt, John W.

John W. Strutt and Rayleigh, Proc. Roy. Soc. (London) 59, 198 (1896).

Travers, M. W.

W. Ramsay and M. W. Travers, Proc. Roy. Soc. (London) 67, 329 (1901).

Vinti, J. P.

J. P. Vinti, Phys. Rev. 42, 632 (1932).
[Crossref]

Webb, T. G.

A. L. Stewart and T. G. Webb, Proc. Phys. Soc. (London) 82, 532 (1963).
[Crossref]

Wheeler, J. A.

J. A. Wheeler, Phys. Rev. 43, 258 (1933).
[Crossref]

White, D.

D. White, J. Phys. Chem. 64, 1607 (1960).
[Crossref]

Wiese, W. L.

W. L. Wiese, M. W. Smith, and B. M. Glennon, Atomic Transition Probabilities, NBS Natl. Std. Ref. Data System 4, Vol. 1, (U. S. Government Printing Office, Washington, D. C., 1953), p. 11.

Ark. Mat. Astr. Fys. (1)

J. Koch, Ark. Mat. Astr. Fys. 9, 1 (1913).

J. Chem. Phys. (1)

M. Karplus and J. J. Kolker, J. Chem. Phys. 39, 2997 (1963).
[Crossref]

J. Opt. Soc. Am. (8)

J. Phys. Chem. (1)

D. White, J. Phys. Chem. 64, 1607 (1960).
[Crossref]

Phys. Rev. (5)

B. Musulin and S. T. Epstein, Phys. Rev. 136, 966 (1964).
[Crossref]

J. P. Vinti, Phys. Rev. 42, 632 (1932).
[Crossref]

J. A. Wheeler, Phys. Rev. 43, 258 (1933).
[Crossref]

D. T. Chung and R. P. Hurst, Phys. Rev. 152, 35 (1966).
[Crossref]

R. Migneron and J. S. Levinger, Phys. Rev. 139, A647 (1965).
[Crossref]

Proc. Phys. Soc. (London) (6)

A. Dalgarno and A. L. Stewart, Proc. Phys. Soc. (London) 76, 49 (1960).
[Crossref]

B. H. Branson and A. Dalgarno, Proc. Phys. Soc. (London) 66, 911 (1953).

A. L. Stewart and T. G. Webb, Proc. Phys. Soc. (London) 82, 532 (1963).
[Crossref]

A. Dalgarno and N. Lynn, Proc. Phys. Soc. (London) 70, 802 (1957).
[Crossref]

A. Dalgarno and A. E. Kingston, Proc. Phys. Soc. (London) 259A, 424 (1960).

Y. M. Chan and A. Dalgarno, Proc. Phys. Soc. (London) 85, 227 (1965).
[Crossref]

Proc. Roy. Soc. (London) (6)

C. Cuthbertson and M. Cuthbertson, Proc. Roy. Soc. (London) 135, 40 (1932).
[Crossref]

John W. Strutt and Rayleigh, Proc. Roy. Soc. (London) 59, 198 (1896).

W. Ramsay and M. W. Travers, Proc. Roy. Soc. (London) 67, 329 (1901).

W. Burton, Proc. Roy. Soc. (London) 80, 390 (1908).
[Crossref]

C. Cuthbertson and M. Cuthbertson, Proc. Roy. Soc. (London) 80, 411 (1908).
[Crossref]

C. Cuthbertson and M. Cuthbertson, Proc. Roy. Soc. (London) 84, 13 (1910).
[Crossref]

Z. Physik (1)

J. Korwin, Z. Physik 91, 1 (1934).
[Crossref]

Other (6)

W. L. Wiese, M. W. Smith, and B. M. Glennon, Atomic Transition Probabilities, NBS Natl. Std. Ref. Data System 4, Vol. 1, (U. S. Government Printing Office, Washington, D. C., 1953), p. 11.

W. E. Forsythe, Ed., Smithsonian Physical Tables (Smithsonian Institution, Washington, D. C., 1959), p. 714.

K. L. Gentili, M.S. thesis, University of Idaho (1966).

A. A. Maryott and F. Buckley, Table of Dielectric Constants and Electric Dipole Moments of Substances in the Gaseous State, NBS Circ. 537 (U. S. Government Printing Office, Washington, D. C., 1953), p. 3.

M. I. T. Spectroscopy Laboratory, Tables of Wavelength (John Wiley & Sons, Inc., New York, 1939).

, Trans. Intern. Astron. Un.9, 201 (1957).

Cited By

OSA participates in Crossref's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Tables (8)

Tables Icon

Table I Measured values of the refractivity of helium at 760 torr, 0°C.

Tables Icon

Table II Discrete transition oscillator strengths and wave numbers.

Tables Icon

Table III Measured values of absolute refractivity of helium at 5462.258 Å, 760 torr, 0°C.

Tables Icon

Table IV Theoretical values of the refractivity of helium at 5462.258 Å 760 torr, 0°C.

Tables Icon

Table V Dispersion-formula constants.

Tables Icon

Table VI Dielectric constant at 760 torr, 20°C, and molecular polarizability, of helium.

Tables Icon

Table VII Constants of the Becquerel equation for helium at 0°C, 760 torr.

Tables Icon

Table VIII Verdet constant derived from the unmodified Becquerel equation, and the modifying proportion for helium 0°C, 760 torr, 5462.258 Å.

Equations (12)

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

( n - 1 ) × 10 5 = 1470.091 / ( 423.98 - σ 2 ) .
P V / R T = Z = 1 + ( 0.74062 × 10 - 8 T 2 - 0.061793 × 10 - 4 T + 16.742 × 10 - 4 ) P ,
( n - 1 ) × 10 5 = 1470.091 / ( 423.98 - σ 2 ) rms     residual = 5.7 × 10 - 5 ,
( n - 1 ) × 10 5 = 2.212693 + 196.0586 156.25 - σ 2 rms     residual = 4.2 × 10 - 5 ,
( n - 1 ) × 10 5 = 1452.449 418.95 - σ 2 + 0.0009278 1.3331 + σ 2 rms     residual = 3.6 × 10 - 5 ,
( n - 1 ) × 10 5 = 1467.196 423.15 - σ 2 + 0.00002125 0.71530 - σ 2 rms     residual = 2.9 × 10 - 5 .
( n 2 - 1 ) ( n 2 + 2 ) = N L e 2 3 π m c 2 ( l = 1 F l k ( σ l k 2 - σ 2 ) + σ = σ c ( d F / d σ ) ( σ 2 - σ 2 ) d σ ) .
E = 4.81 - 1.58 / n 2 .
( n - 1 ) × 10 5 = 1499.65775 432.0852 - σ 2 rms     residual = 4.8 × 10 - 5 ,
( n - 1 ) × 10 5 = 0.563419516 - 1058.08288 363.9286 - σ 2 rms     residual = 7.3 × 10 - 7 ,
( n - 1 ) × 10 5 = 645.686373 318.1312 - σ 2 1290.41989 895.3867 - σ 2 rms     residual = 4.5 × 10 - 10 .
V = A 1 ω 2 ( 1 - B 1 ω 2 ) 2 + A 2 ω 2 ( 1 - B 2 ω 2 ) 2 .