Abstract

The theoretical central-field-approximation predictions for the 3P and 1P terms of the 1s2 2s3p configuration in the N=4 electron isoelectronic sequence are in violent disagreement with observation. Correlation effects in the form of configuration interaction have been included by considering the mixing among nine odd configurations. Even though the terms are displaced considerably, they remain quite pure, and after configuration mixing the agreement between theory and observation is good. In order to show the use of such theoretical calculation, weighted oscillator strengths for the 2s2 1S1–2s3p 1P1, 3P1 transitions are also computed.

© 1969 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. O. Sinanoǵlu, J. Chem. Phys. 33, 1212 (1960); Proc. Roy. Soc. (London) A260, 379 (1961); Phys. Rev. 122, 491, 493 (1961); Proc. Natl. Acad. Sci. (U. S.) 47, 1217 (1961); J. Chem. Phys. 36, 706, 3198 (1962); Advances in Chemical Physics, I. Prigogine, Ed. (Interscience Publ., John Wiley & Sons, Inc., New York, 1964), Vol. VI, p. 315; O. Sinanoǵlu and D. F. Tuan, J. Chem. Phys. 38, 1740 (1963); J. Chem. Phys. 41, 2677 (1964); V. McKoy and O. Sinanoǵlu, J. Chem. Phys. 41, 2689 (1964); O. Sinanoǵlu and I. Öksüz, Phys. Rev. Letters 21, 507 (1968).
    [CrossRef]
  2. E. A. Hylleraas, Z. Physik 65, 209 (1930); E. A. Hylleraas and J. Midtdal, Phys. Rev. 103, 829 (1956).
    [CrossRef]
  3. D. Layzer, Monthly Notices Roy. Astron. Soc. 114, 692 (1954); Ann. Phys. (N. Y.) 8, 27 (1959); Phys. Rev. 132, 735 (1963); D. Layzer and J. Bahcall, Ann. Phys. (N. Y.) 17, 177 (1962).
    [CrossRef]
  4. Ch. W. Scherr, J. Chem. Phys. 317, 33 (1960); Z. Horák, Proc. Phys. Soc. (London) 77, 980 (1961); J. Linderberg, Phys. Rev. 121, 816 (1961); C. S. Sharma and C. A. Coulson, Proc. Phys. Soc. (London) 80, 81 (1962); W. B. Sommerville and A. L. Stewart, Proc. Phys. Soc. (London) 80, 97 (1962); C. S. Sharma, Proc. Phys. Soc. (London) 80, 839 (1962); R. Perrin and A. L. Stewart, Proc. Phys. Soc. (London) 81, 28 (1963); R. J. S. Crossley and C. A. Coulson, Proc. Phys. Soc. (London) 81, 211 (1963).
    [CrossRef]
  5. E. A. Hylleraas, Z. Physik 48, 469 (1928); Z. Physik 54, 347 (1929); E. U. Condon, Phys. Rev. 36, 1121 (1930); E. U. Condon and G. H. Shortley, The Theory of Atomic Spectra (Cambridge Univ. Press, New York, 1935), Ch. XV.
    [CrossRef]
  6. R. F. Bacher and S. Goudsmit, Phys. Rev. 46, 948 (1934); R. E. Trees, Phys. Rev. 83, 756 (1951); Phys. Rev. 84, 1089 (1951); Phys. Rev. 85, 381 (1952); R. E. Trees and C. K. Jørgensen, Phys. Rev. 123, 278 (1961); Phys. Rev. 129, 1220 (1963); R. E. Trees, J. Opt. Soc. Am. 54, 651 (1964); G. Racah, Phys. Rev. 85, 381 (1952); G. Racah and Y. Shadmi, Phys. Rev. 119, 156 (1960); S. Meshkov, Phys. Rev. 91, 871 (1953); Phys. Rev. 93, 270 (1954); S. Meshkov and C. W. Ufford, Phys. Rev. 94, 75 (1954); N. Sack, Phys. Rev. 102, 1302 (1956); K. Rajnak and B. G. Wybourne, Phys. Rev. 132, 280 (1963); Phys. Rev. 134, A596 (1964); J. Chem. Phys. 41, 565 (1964); B. G. Wybourne, Phys. Rev. 137, A364 (1965); K. Rajnak, J. Opt. Soc. Am. 55, 126 (1965).
    [CrossRef]
  7. R. K. Nesbet and R. E. Watson, Phys. Rev. 110, 1073 (1958); R. E. Watson, Phys. Rev. 119, 170 (1960); A. W. Weiss, Phys. Rev. 122, 1826 (1961); H. P. Kelly, Phys. Rev. 131, 684 (1963); Phys. Rev. 136, B896 (1964).
    [CrossRef]
  8. R. N. Zare, J. Chem. Phys. 45, 1966 (1966); J. Chem. Phys. 47, 3561 (1967).
    [CrossRef]
  9. E. U. Condon and H. Odabasi, JILA Report No. 95 (1968).
  10. J. C. Slater, Phys. Rev. 81, 385 (1951).
    [CrossRef]
  11. F. Herman and S. Skillman, Atomic Structure Calculations (Prentice-Hall, Englewood Cliffs, N. J., 1963).
  12. B. W. Shore and D. H. Menzel, Principles of Atomic Spectra (John Wiley& Sons, Inc., New York, 1968), pp. 449–464.
  13. E. U. Condon and G. H. Shortley, The Theory of Atomic Spectra (Cambridge Univ. Press, New York, 1935), pp. 264–271.
  14. S. Chandrasekhar, Astrophys. J. 102, 223 (1945).
    [CrossRef]
  15. C. W. Allen, Astrophysical Quantities (The Athlone Press, London, 1963), p. 58.
  16. C. Moore, Atomic Energy Levels, Vol. 1, Natl. Bur. Std. (U. S.) Circ. 467 (U. S. Gov’t. Printing Off., Washington, D. C., 1949).
  17. The newly determined values of x’s in Moore’s tables for the N=4 sequence are kindly provided to us by Professor B. Edlén.
  18. S. Obi and S. Yanagawa, Publ. Astron. Soc. Japan,  7, 125 (1955).
  19. R. H. Garstang, Proc. Cambridge Phil. Soc. 57, 115 (1961).
    [CrossRef]
  20. R. N. Zare, J. Chem. Phys. 47, 3561 (1967).
    [CrossRef]
  21. C. Froese Fisher, J. Quant. Spectry. Radiative Transfer,  8, 755 (1968).
    [CrossRef]

1968 (1)

C. Froese Fisher, J. Quant. Spectry. Radiative Transfer,  8, 755 (1968).
[CrossRef]

1967 (1)

R. N. Zare, J. Chem. Phys. 47, 3561 (1967).
[CrossRef]

1966 (1)

R. N. Zare, J. Chem. Phys. 45, 1966 (1966); J. Chem. Phys. 47, 3561 (1967).
[CrossRef]

1961 (1)

R. H. Garstang, Proc. Cambridge Phil. Soc. 57, 115 (1961).
[CrossRef]

1960 (2)

O. Sinanoǵlu, J. Chem. Phys. 33, 1212 (1960); Proc. Roy. Soc. (London) A260, 379 (1961); Phys. Rev. 122, 491, 493 (1961); Proc. Natl. Acad. Sci. (U. S.) 47, 1217 (1961); J. Chem. Phys. 36, 706, 3198 (1962); Advances in Chemical Physics, I. Prigogine, Ed. (Interscience Publ., John Wiley & Sons, Inc., New York, 1964), Vol. VI, p. 315; O. Sinanoǵlu and D. F. Tuan, J. Chem. Phys. 38, 1740 (1963); J. Chem. Phys. 41, 2677 (1964); V. McKoy and O. Sinanoǵlu, J. Chem. Phys. 41, 2689 (1964); O. Sinanoǵlu and I. Öksüz, Phys. Rev. Letters 21, 507 (1968).
[CrossRef]

Ch. W. Scherr, J. Chem. Phys. 317, 33 (1960); Z. Horák, Proc. Phys. Soc. (London) 77, 980 (1961); J. Linderberg, Phys. Rev. 121, 816 (1961); C. S. Sharma and C. A. Coulson, Proc. Phys. Soc. (London) 80, 81 (1962); W. B. Sommerville and A. L. Stewart, Proc. Phys. Soc. (London) 80, 97 (1962); C. S. Sharma, Proc. Phys. Soc. (London) 80, 839 (1962); R. Perrin and A. L. Stewart, Proc. Phys. Soc. (London) 81, 28 (1963); R. J. S. Crossley and C. A. Coulson, Proc. Phys. Soc. (London) 81, 211 (1963).
[CrossRef]

1958 (1)

R. K. Nesbet and R. E. Watson, Phys. Rev. 110, 1073 (1958); R. E. Watson, Phys. Rev. 119, 170 (1960); A. W. Weiss, Phys. Rev. 122, 1826 (1961); H. P. Kelly, Phys. Rev. 131, 684 (1963); Phys. Rev. 136, B896 (1964).
[CrossRef]

1955 (1)

S. Obi and S. Yanagawa, Publ. Astron. Soc. Japan,  7, 125 (1955).

1954 (1)

D. Layzer, Monthly Notices Roy. Astron. Soc. 114, 692 (1954); Ann. Phys. (N. Y.) 8, 27 (1959); Phys. Rev. 132, 735 (1963); D. Layzer and J. Bahcall, Ann. Phys. (N. Y.) 17, 177 (1962).
[CrossRef]

1951 (1)

J. C. Slater, Phys. Rev. 81, 385 (1951).
[CrossRef]

1945 (1)

S. Chandrasekhar, Astrophys. J. 102, 223 (1945).
[CrossRef]

1934 (1)

R. F. Bacher and S. Goudsmit, Phys. Rev. 46, 948 (1934); R. E. Trees, Phys. Rev. 83, 756 (1951); Phys. Rev. 84, 1089 (1951); Phys. Rev. 85, 381 (1952); R. E. Trees and C. K. Jørgensen, Phys. Rev. 123, 278 (1961); Phys. Rev. 129, 1220 (1963); R. E. Trees, J. Opt. Soc. Am. 54, 651 (1964); G. Racah, Phys. Rev. 85, 381 (1952); G. Racah and Y. Shadmi, Phys. Rev. 119, 156 (1960); S. Meshkov, Phys. Rev. 91, 871 (1953); Phys. Rev. 93, 270 (1954); S. Meshkov and C. W. Ufford, Phys. Rev. 94, 75 (1954); N. Sack, Phys. Rev. 102, 1302 (1956); K. Rajnak and B. G. Wybourne, Phys. Rev. 132, 280 (1963); Phys. Rev. 134, A596 (1964); J. Chem. Phys. 41, 565 (1964); B. G. Wybourne, Phys. Rev. 137, A364 (1965); K. Rajnak, J. Opt. Soc. Am. 55, 126 (1965).
[CrossRef]

1930 (1)

E. A. Hylleraas, Z. Physik 65, 209 (1930); E. A. Hylleraas and J. Midtdal, Phys. Rev. 103, 829 (1956).
[CrossRef]

1928 (1)

E. A. Hylleraas, Z. Physik 48, 469 (1928); Z. Physik 54, 347 (1929); E. U. Condon, Phys. Rev. 36, 1121 (1930); E. U. Condon and G. H. Shortley, The Theory of Atomic Spectra (Cambridge Univ. Press, New York, 1935), Ch. XV.
[CrossRef]

Allen, C. W.

C. W. Allen, Astrophysical Quantities (The Athlone Press, London, 1963), p. 58.

Bacher, R. F.

R. F. Bacher and S. Goudsmit, Phys. Rev. 46, 948 (1934); R. E. Trees, Phys. Rev. 83, 756 (1951); Phys. Rev. 84, 1089 (1951); Phys. Rev. 85, 381 (1952); R. E. Trees and C. K. Jørgensen, Phys. Rev. 123, 278 (1961); Phys. Rev. 129, 1220 (1963); R. E. Trees, J. Opt. Soc. Am. 54, 651 (1964); G. Racah, Phys. Rev. 85, 381 (1952); G. Racah and Y. Shadmi, Phys. Rev. 119, 156 (1960); S. Meshkov, Phys. Rev. 91, 871 (1953); Phys. Rev. 93, 270 (1954); S. Meshkov and C. W. Ufford, Phys. Rev. 94, 75 (1954); N. Sack, Phys. Rev. 102, 1302 (1956); K. Rajnak and B. G. Wybourne, Phys. Rev. 132, 280 (1963); Phys. Rev. 134, A596 (1964); J. Chem. Phys. 41, 565 (1964); B. G. Wybourne, Phys. Rev. 137, A364 (1965); K. Rajnak, J. Opt. Soc. Am. 55, 126 (1965).
[CrossRef]

Chandrasekhar, S.

S. Chandrasekhar, Astrophys. J. 102, 223 (1945).
[CrossRef]

Condon, E. U.

E. U. Condon and H. Odabasi, JILA Report No. 95 (1968).

E. U. Condon and G. H. Shortley, The Theory of Atomic Spectra (Cambridge Univ. Press, New York, 1935), pp. 264–271.

Froese Fisher, C.

C. Froese Fisher, J. Quant. Spectry. Radiative Transfer,  8, 755 (1968).
[CrossRef]

Garstang, R. H.

R. H. Garstang, Proc. Cambridge Phil. Soc. 57, 115 (1961).
[CrossRef]

Goudsmit, S.

R. F. Bacher and S. Goudsmit, Phys. Rev. 46, 948 (1934); R. E. Trees, Phys. Rev. 83, 756 (1951); Phys. Rev. 84, 1089 (1951); Phys. Rev. 85, 381 (1952); R. E. Trees and C. K. Jørgensen, Phys. Rev. 123, 278 (1961); Phys. Rev. 129, 1220 (1963); R. E. Trees, J. Opt. Soc. Am. 54, 651 (1964); G. Racah, Phys. Rev. 85, 381 (1952); G. Racah and Y. Shadmi, Phys. Rev. 119, 156 (1960); S. Meshkov, Phys. Rev. 91, 871 (1953); Phys. Rev. 93, 270 (1954); S. Meshkov and C. W. Ufford, Phys. Rev. 94, 75 (1954); N. Sack, Phys. Rev. 102, 1302 (1956); K. Rajnak and B. G. Wybourne, Phys. Rev. 132, 280 (1963); Phys. Rev. 134, A596 (1964); J. Chem. Phys. 41, 565 (1964); B. G. Wybourne, Phys. Rev. 137, A364 (1965); K. Rajnak, J. Opt. Soc. Am. 55, 126 (1965).
[CrossRef]

Herman, F.

F. Herman and S. Skillman, Atomic Structure Calculations (Prentice-Hall, Englewood Cliffs, N. J., 1963).

Hylleraas, E. A.

E. A. Hylleraas, Z. Physik 65, 209 (1930); E. A. Hylleraas and J. Midtdal, Phys. Rev. 103, 829 (1956).
[CrossRef]

E. A. Hylleraas, Z. Physik 48, 469 (1928); Z. Physik 54, 347 (1929); E. U. Condon, Phys. Rev. 36, 1121 (1930); E. U. Condon and G. H. Shortley, The Theory of Atomic Spectra (Cambridge Univ. Press, New York, 1935), Ch. XV.
[CrossRef]

Layzer, D.

D. Layzer, Monthly Notices Roy. Astron. Soc. 114, 692 (1954); Ann. Phys. (N. Y.) 8, 27 (1959); Phys. Rev. 132, 735 (1963); D. Layzer and J. Bahcall, Ann. Phys. (N. Y.) 17, 177 (1962).
[CrossRef]

Menzel, D. H.

B. W. Shore and D. H. Menzel, Principles of Atomic Spectra (John Wiley& Sons, Inc., New York, 1968), pp. 449–464.

Moore, C.

C. Moore, Atomic Energy Levels, Vol. 1, Natl. Bur. Std. (U. S.) Circ. 467 (U. S. Gov’t. Printing Off., Washington, D. C., 1949).

Nesbet, R. K.

R. K. Nesbet and R. E. Watson, Phys. Rev. 110, 1073 (1958); R. E. Watson, Phys. Rev. 119, 170 (1960); A. W. Weiss, Phys. Rev. 122, 1826 (1961); H. P. Kelly, Phys. Rev. 131, 684 (1963); Phys. Rev. 136, B896 (1964).
[CrossRef]

Obi, S.

S. Obi and S. Yanagawa, Publ. Astron. Soc. Japan,  7, 125 (1955).

Odabasi, H.

E. U. Condon and H. Odabasi, JILA Report No. 95 (1968).

Scherr, Ch. W.

Ch. W. Scherr, J. Chem. Phys. 317, 33 (1960); Z. Horák, Proc. Phys. Soc. (London) 77, 980 (1961); J. Linderberg, Phys. Rev. 121, 816 (1961); C. S. Sharma and C. A. Coulson, Proc. Phys. Soc. (London) 80, 81 (1962); W. B. Sommerville and A. L. Stewart, Proc. Phys. Soc. (London) 80, 97 (1962); C. S. Sharma, Proc. Phys. Soc. (London) 80, 839 (1962); R. Perrin and A. L. Stewart, Proc. Phys. Soc. (London) 81, 28 (1963); R. J. S. Crossley and C. A. Coulson, Proc. Phys. Soc. (London) 81, 211 (1963).
[CrossRef]

Shore, B. W.

B. W. Shore and D. H. Menzel, Principles of Atomic Spectra (John Wiley& Sons, Inc., New York, 1968), pp. 449–464.

Shortley, G. H.

E. U. Condon and G. H. Shortley, The Theory of Atomic Spectra (Cambridge Univ. Press, New York, 1935), pp. 264–271.

Sinano?lu, O.

O. Sinanoǵlu, J. Chem. Phys. 33, 1212 (1960); Proc. Roy. Soc. (London) A260, 379 (1961); Phys. Rev. 122, 491, 493 (1961); Proc. Natl. Acad. Sci. (U. S.) 47, 1217 (1961); J. Chem. Phys. 36, 706, 3198 (1962); Advances in Chemical Physics, I. Prigogine, Ed. (Interscience Publ., John Wiley & Sons, Inc., New York, 1964), Vol. VI, p. 315; O. Sinanoǵlu and D. F. Tuan, J. Chem. Phys. 38, 1740 (1963); J. Chem. Phys. 41, 2677 (1964); V. McKoy and O. Sinanoǵlu, J. Chem. Phys. 41, 2689 (1964); O. Sinanoǵlu and I. Öksüz, Phys. Rev. Letters 21, 507 (1968).
[CrossRef]

Skillman, S.

F. Herman and S. Skillman, Atomic Structure Calculations (Prentice-Hall, Englewood Cliffs, N. J., 1963).

Slater, J. C.

J. C. Slater, Phys. Rev. 81, 385 (1951).
[CrossRef]

Watson, R. E.

R. K. Nesbet and R. E. Watson, Phys. Rev. 110, 1073 (1958); R. E. Watson, Phys. Rev. 119, 170 (1960); A. W. Weiss, Phys. Rev. 122, 1826 (1961); H. P. Kelly, Phys. Rev. 131, 684 (1963); Phys. Rev. 136, B896 (1964).
[CrossRef]

Yanagawa, S.

S. Obi and S. Yanagawa, Publ. Astron. Soc. Japan,  7, 125 (1955).

Zare, R. N.

R. N. Zare, J. Chem. Phys. 47, 3561 (1967).
[CrossRef]

R. N. Zare, J. Chem. Phys. 45, 1966 (1966); J. Chem. Phys. 47, 3561 (1967).
[CrossRef]

Astrophys. J. (1)

S. Chandrasekhar, Astrophys. J. 102, 223 (1945).
[CrossRef]

J. Chem. Phys. (4)

O. Sinanoǵlu, J. Chem. Phys. 33, 1212 (1960); Proc. Roy. Soc. (London) A260, 379 (1961); Phys. Rev. 122, 491, 493 (1961); Proc. Natl. Acad. Sci. (U. S.) 47, 1217 (1961); J. Chem. Phys. 36, 706, 3198 (1962); Advances in Chemical Physics, I. Prigogine, Ed. (Interscience Publ., John Wiley & Sons, Inc., New York, 1964), Vol. VI, p. 315; O. Sinanoǵlu and D. F. Tuan, J. Chem. Phys. 38, 1740 (1963); J. Chem. Phys. 41, 2677 (1964); V. McKoy and O. Sinanoǵlu, J. Chem. Phys. 41, 2689 (1964); O. Sinanoǵlu and I. Öksüz, Phys. Rev. Letters 21, 507 (1968).
[CrossRef]

Ch. W. Scherr, J. Chem. Phys. 317, 33 (1960); Z. Horák, Proc. Phys. Soc. (London) 77, 980 (1961); J. Linderberg, Phys. Rev. 121, 816 (1961); C. S. Sharma and C. A. Coulson, Proc. Phys. Soc. (London) 80, 81 (1962); W. B. Sommerville and A. L. Stewart, Proc. Phys. Soc. (London) 80, 97 (1962); C. S. Sharma, Proc. Phys. Soc. (London) 80, 839 (1962); R. Perrin and A. L. Stewart, Proc. Phys. Soc. (London) 81, 28 (1963); R. J. S. Crossley and C. A. Coulson, Proc. Phys. Soc. (London) 81, 211 (1963).
[CrossRef]

R. N. Zare, J. Chem. Phys. 45, 1966 (1966); J. Chem. Phys. 47, 3561 (1967).
[CrossRef]

R. N. Zare, J. Chem. Phys. 47, 3561 (1967).
[CrossRef]

J. Quant. Spectry. Radiative Transfer (1)

C. Froese Fisher, J. Quant. Spectry. Radiative Transfer,  8, 755 (1968).
[CrossRef]

Monthly Notices Roy. Astron. Soc. (1)

D. Layzer, Monthly Notices Roy. Astron. Soc. 114, 692 (1954); Ann. Phys. (N. Y.) 8, 27 (1959); Phys. Rev. 132, 735 (1963); D. Layzer and J. Bahcall, Ann. Phys. (N. Y.) 17, 177 (1962).
[CrossRef]

Phys. Rev. (3)

R. F. Bacher and S. Goudsmit, Phys. Rev. 46, 948 (1934); R. E. Trees, Phys. Rev. 83, 756 (1951); Phys. Rev. 84, 1089 (1951); Phys. Rev. 85, 381 (1952); R. E. Trees and C. K. Jørgensen, Phys. Rev. 123, 278 (1961); Phys. Rev. 129, 1220 (1963); R. E. Trees, J. Opt. Soc. Am. 54, 651 (1964); G. Racah, Phys. Rev. 85, 381 (1952); G. Racah and Y. Shadmi, Phys. Rev. 119, 156 (1960); S. Meshkov, Phys. Rev. 91, 871 (1953); Phys. Rev. 93, 270 (1954); S. Meshkov and C. W. Ufford, Phys. Rev. 94, 75 (1954); N. Sack, Phys. Rev. 102, 1302 (1956); K. Rajnak and B. G. Wybourne, Phys. Rev. 132, 280 (1963); Phys. Rev. 134, A596 (1964); J. Chem. Phys. 41, 565 (1964); B. G. Wybourne, Phys. Rev. 137, A364 (1965); K. Rajnak, J. Opt. Soc. Am. 55, 126 (1965).
[CrossRef]

R. K. Nesbet and R. E. Watson, Phys. Rev. 110, 1073 (1958); R. E. Watson, Phys. Rev. 119, 170 (1960); A. W. Weiss, Phys. Rev. 122, 1826 (1961); H. P. Kelly, Phys. Rev. 131, 684 (1963); Phys. Rev. 136, B896 (1964).
[CrossRef]

J. C. Slater, Phys. Rev. 81, 385 (1951).
[CrossRef]

Proc. Cambridge Phil. Soc. (1)

R. H. Garstang, Proc. Cambridge Phil. Soc. 57, 115 (1961).
[CrossRef]

Publ. Astron. Soc. Japan (1)

S. Obi and S. Yanagawa, Publ. Astron. Soc. Japan,  7, 125 (1955).

Z. Physik (2)

E. A. Hylleraas, Z. Physik 48, 469 (1928); Z. Physik 54, 347 (1929); E. U. Condon, Phys. Rev. 36, 1121 (1930); E. U. Condon and G. H. Shortley, The Theory of Atomic Spectra (Cambridge Univ. Press, New York, 1935), Ch. XV.
[CrossRef]

E. A. Hylleraas, Z. Physik 65, 209 (1930); E. A. Hylleraas and J. Midtdal, Phys. Rev. 103, 829 (1956).
[CrossRef]

Other (7)

E. U. Condon and H. Odabasi, JILA Report No. 95 (1968).

F. Herman and S. Skillman, Atomic Structure Calculations (Prentice-Hall, Englewood Cliffs, N. J., 1963).

B. W. Shore and D. H. Menzel, Principles of Atomic Spectra (John Wiley& Sons, Inc., New York, 1968), pp. 449–464.

E. U. Condon and G. H. Shortley, The Theory of Atomic Spectra (Cambridge Univ. Press, New York, 1935), pp. 264–271.

C. W. Allen, Astrophysical Quantities (The Athlone Press, London, 1963), p. 58.

C. Moore, Atomic Energy Levels, Vol. 1, Natl. Bur. Std. (U. S.) Circ. 467 (U. S. Gov’t. Printing Off., Washington, D. C., 1949).

The newly determined values of x’s in Moore’s tables for the N=4 sequence are kindly provided to us by Professor B. Edlén.

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.


Figures (4)

Fig. 1
Fig. 1

The theoretical term energies before and after configuration mixing, relative to the old configuration average (configuration average before mixing) for the 1s2 2s3p excited configuration of the N=4 sequence. □ Theoretical, before configuration mixing. ⌓ Theoretical, after configuration mixing.

Fig. 2
Fig. 2

The observed and theoretical term energies, relative to their configuration averages (theoretical configuration average is now the one found after mixing) for the 1s2 2sp3p excited configuration of the N=4 sequence. △ Observed. ⌓ Theoretical.

Fig. 3
Fig. 3

The observed and theoretical intervals of the 3P2,1,0 Russell–Saunders level for the 1s2 2s3p excited configuration of the N=4 sequence. × Observed. □ Theoretical.

Fig. 4
Fig. 4

The behavior of [ g t f ] 1 2 in the isoelectronic sequence.

Tables (3)

Tables Icon

Table I Matrix elements of configuration interaction among the 2snp, 2pns, and 2pnd, odd configurations for the 3P and 1P Russell–Saunders terms.

Tables Icon

Table II Coefficients of configuration mixing for the 3P and 1P terms in the 1s2 2s3p excited configuration of the N=4 sequence. (First entry is for the 3P and second is for the 1P term.)

Tables Icon

Table III The theoretical weighted oscillator strengths, gtf and gf, in the N=4 sequence. (First entry is gtf value for the 1s2 2s2 1S–1s2 2s3p 1P transition and second is taken from Allen.a Third and fourth entries are gf values for the 1s2 2s2 1S0–1s2 2s3p 1P1 and the 1s2 2s2 1S0–1s2 2s3p 3P1 transition, respectively. The values in parentheses are the energy differences, E(3P1)–E(1S0), in Rydberg units, used in finding the latter gf value.)

Equations (31)

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

I ( a , b ) = 1 2 R n a l ( r ) [ - d 2 d r 2 + l ( l + 1 ) r 2 - 2 Z r ] R n b l ( r ) d r = n a l δ ( n a , n b ) - R n a l ( r ) × [ U ( r ) + ( Z / r ) ] R n b l ( r ) d r ,
I ( a ) = I ( a , a ) ,
R k ( a , b ; c , d ) = 0 0 r < k r > k + 1 R a ( r 1 ) R c ( r 1 ) × R b ( r 2 ) R d ( r 2 ) d r 1 d r 2 ,
F k ( a , b ) = R k ( a , b ; a , b ) and G k ( a , b ) = R k ( a , b ; b , a ) ,
R a ( r ) = r P a ( r ) ;
Ψ i = i j a i j Φ j ,
S L ( J , J ) = β S L J P ( 1 ) β S L J 2 .
S L 1 2 = S L 1 2 ( n l n l S L J ; n l n l S L J ) = ( - 1 ) L + L + S + J + l + 1 [ ( 2 L + 1 ) ( 2 L + 1 ) × ( 2 J + 1 ) ( 2 J + 1 ) ] 1 2 { L J S J L L } { l L l L l 1 } × l r ( 1 ) l = ( - 1 ) L + L + S + J + 1 > [ ( 2 J + 1 ) ( 2 J + 1 ) 2 S + 1 ] 1 2 × { L J S J L 1 } S M 1 2
S M 1 2 = ( - 1 ) l + l > [ l > ( 4 l > 2 - 1 ) ( 2 S + 1 ) ( 2 L + 1 ) ( 2 L + 1 ) ] 1 2 × { l L l L l 1 } σ
σ = D [ 4 l > 2 - 1 ] 1 2 ;             D = R n l r R n l d r .
( S L 1 2 ) I C = B ( S L 1 2 ) L S Ã ,
f ( l , l ) = 2 3 ( E n l - E n l ) [ l > / ( 2 l + 1 ) ] D 2 = 0.03038 S M / λ ,
g t f = J f g ,
g t = ( 2 L + 1 ) ( 2 S + 1 )
g = ( 2 J + 1 )
S M ( 2 s 2 S 1 ; 2 P 1 ) = a 21 S M 1 2 ( 2 s 2 S 1 ; 2 s 2 p P 1 ) + a 22 S M 1 2 ( 2 s 2 S 1 ; 2 s 3 p P 1 ) + a 24 S M 1 2 ( 2 s 2 S 1 ; 2 s 4 p P 1 ) + a 26 S M 1 2 ( 2 s 2 S 1 ; 2 s 5 p P 1 ) 2 .
[ E ( 2 s 3 p P 3 1 ) - E ( 2 s 2 S 1 1 ) ] obs - [ E ( 2 s 3 p P 3 1 ) - E ( 2 s 2 S 1 1 ) ] theor ,
E ( n s ) = I ( 2 p ) + I ( n s ) + 2 F 0 ( 1 s , 2 p ) - 1 3 G 1 ( 1 s , 2 p ) + 2 F 0 ( 1 s , n s ) - G 0 ( 1 s , n s )
E ( n p ) = I ( 2 s ) + I ( n p ) + 2 F 0 ( 1 s , 2 s ) - G 0 ( 1 s , 2 s ) + 2 F 0 ( 1 s , n p ) - 1 3 G 1 ( 1 s , n p )
E ( n d ) = I ( 2 p ) + I ( n d ) + 2 F 0 ( 1 s , 2 p ) - 1 3 G 1 ( 1 s , 2 p ) + 2 F 0 ( 1 s , n d ) - 1 5 G 2 ( 1 s , n d )
E ( n p ) = F 0 ( 2 s , n p ) ± 1 3 G 1 ( 2 s , n p )
E ( n d ) = F 0 ( 2 p , n d ) + 1 5 F 2 ( 2 p , n d ) ± ( 1 / 15 ) G 1 ( 2 p , n d ) ± ( 9 / 35 ) G 3 ( 2 p , n d )
E ( n p , m p ) = I ( n p , m p ) + 2 R 0 ( n p , 1 s ; m p , 1 s ) - 1 3 R 1 ( n p , 1 s ; 1 s , m p )
E ( n d , m d ) = I ( n d , m d ) + 2 R 0 ( n d , 1 s ; m d , 1 s ) - 1 5 R 2 ( n d , 1 s ; 1 s , m d )
E ( n s , m s ) = R 0 ( 2 p , n s ; 2 p , m s ) ± 1 3 R 1 ( 2 p , n s ; m s , 2 p )
E ( n p , m p ) = R 0 ( 2 s , n p ; 2 s , m p ) ± 1 3 R 1 ( 2 s , n p ; m p , 2 s )
E ( n d , m d ) = R 0 ( 2 p , n d ; 2 p , m d ) + 1 5 R 2 ( 2 p , n d ; 2 p , m d ) ± ( 1 / 15 ) R 1 ( 2 p , n d ; m d , 2 p ) ± ( 9 / 35 ) R 3 ( 2 p , n d ; m d , 2 p )
Ē ¯ ( 2 s , m s ) = ± [ I ( 2 s , m s ) + 2 R 0 ( 2 s , 1 s ; m s , 1 s ) - R 0 ( 2 s , 1 s ; 1 s , m s ) + R 0 ( 2 p , 2 s ; 2 p , m s ) ± 1 3 R 1 ( 2 p , 2 s ; m s , 2 p ) ]
E ( n s , m p ) = ± R 0 ( 2 p , n s ; m p , 2 s ) + 1 3 R 1 ( 2 p , n s ; 2 s , m p )
E ( n s , m d ) = - ( 2 / 5 ) R 2 ( 2 p , n s ; 2 p , m d ) ( 2 / 3 ) R 1 ( 2 p , n s ; m d , 2 p )
E ( n p , m d ) = - ( 2 / 5 ) R 2 ( 2 s , n p ; m d , 2 p ) ( 2 / 3 ) R 1 ( 2 s , n p ; 2 p , m d )