Abstract

The theoretical central-field-approximation predictions for the <sup>3</sup><i>P</i> and <sup>1</sup><i>P</i> terms of the 1<i>s</i><sup>2</sup> 2<i>s</i><sup>3</sup><i>p</i> configuration in the <i>N</i>= 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 2<i>s</i><sup>2</sup><sup>1</sup><i>S</i><sub>1</sub>-2<i>s</i>3<i>p</i><sup>1</sup><i>P</i><sub>1</sub>, <sup>3</sup><i>P</i><sub>1</sub> transitions are also computed.

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); 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).
  2. E. A. Hylleraas, Z. Physik 65, 209 (1930); E. A. Hylleraas and J. Midtdal, Phys. Rev. 103, 829 (1956).
  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).
  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).
  5. E. A. Hylleraas, Z. Physik 48, 469 (1928); 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.
  6. R. F. Bacher and S. Goudsmit, Phys. Rev. 46, 948 (1934); R. E. Trees, Phys. Rev. 83, 756 (1951); 84, 1089 (1951); 85, 381 (1952); R. E. Trees and C. K. Jørgensen, Phys. Rev. 123, 278 (1961); 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); 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); 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).
  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); 136, B896 (1964).
  8. R. N. Zare, J. Chem. Phys. 45, 1966 (1966); 47, 3561 (1967).
  9. E. U. Condon and H. Odabasi, JILA Report No. 95 (1968).
  10. J. C. Slater, Phys. Rev. 81, 385 (1951).
  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).
  15. C. W. Allen, Astrophysical Quantities (The Athlone Press, London, 1963), p. 58.
  16. C. Moore, Atomic Energy Levels, Vol. 1, Nati. 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).
  20. R. N. Zare, J. Chem. Phys. 47, 3561 (1967).
  21. C. Froese Fisher, J. Quant. Spectry. Radiative Transfer, 8, 755 (1968).

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); 84, 1089 (1951); 85, 381 (1952); R. E. Trees and C. K. Jørgensen, Phys. Rev. 123, 278 (1961); 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); 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); 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).

Chandrasekhar, S.

S. Chandrasekhar, Astrophys. J. 102, 223 (1945).

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.

Fisher, C. Froese

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

Garstang, R. H.

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

Goudsmit, S.

R. F. Bacher and S. Goudsmit, Phys. Rev. 46, 948 (1934); R. E. Trees, Phys. Rev. 83, 756 (1951); 84, 1089 (1951); 85, 381 (1952); R. E. Trees and C. K. Jørgensen, Phys. Rev. 123, 278 (1961); 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); 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); 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).

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).

E. A. Hylleraas, Z. Physik 48, 469 (1928); 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.

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).

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, Nati. 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); 136, B896 (1964).

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).

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); 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).

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).

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); 136, B896 (1964).

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).

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

Other (21)

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); 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).

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

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).

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).

E. A. Hylleraas, Z. Physik 48, 469 (1928); 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.

R. F. Bacher and S. Goudsmit, Phys. Rev. 46, 948 (1934); R. E. Trees, Phys. Rev. 83, 756 (1951); 84, 1089 (1951); 85, 381 (1952); R. E. Trees and C. K. Jørgensen, Phys. Rev. 123, 278 (1961); 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); 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); 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).

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); 136, B896 (1964).

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

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

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

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.

S. Chandrasekhar, Astrophys. J. 102, 223 (1945).

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

C. Moore, Atomic Energy Levels, Vol. 1, Nati. 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.

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

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

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

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

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.