Abstract

The properties of entire spectra—specifically, the line positions and transition probabilities of perturbed series and of their adjoining continua as well as autoionization line profiles and related collision cross sections—have been interpreted in terms of a few parameters, such as quantum defects and oscillatorstrength densities, which vary slowly with the excitation energy. By use of Seaton’s quantum-defect theory, the concept of separate configurations is replaced by the more comprehensive concept of channels. Alternative sets of channels are considered, related by a frame transformation whose construction is a main goal of the analysis of each spectrum. Concepts and procedures employed for these purposes since 1969 are summarized and restated here. Reference is made to extension of the treatment to negative ions, and to the direct <i>ab initio</i> calculation of the channel parameters to be compared with experimental results. Illustrative results are presented, as well as a guide to relevant literature.

© 1975 Optical Society of America

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  1. M. J. Seaton, Proc. Phys. Soc. (Lond.) 88, 801 (1966).
  2. U. Fano and J. W. Cooper, Rev. Mod. Phys. 40, 441 (1968).
  3. U. Fano, Phys. Rev. A 2, 353 (1970).
  4. G. Herzberg, Phys. Rev. Lett. 25, 1081 (1969).
  5. G. Herzberg and Ch. Jungen, J. Molec. Spectrosc. 41, 425 (1972).
  6. O. Atabek, D. Dill, and Ch. Jungen, Phys. Rev. Lett. 33, 123 (1974).
  7. D. Dill, Phys. Rev. A 6, 160 (1972).
  8. D. Dill, E. S. Chang, and U. Fano, in Electronic and Atomic Collisions, VIII ICPEAC, Beograd, Yugoslavia, 1973, edited by B. C. Čobić and M. V. Kurepa (Institute of Physics, Beograd, Yugoslavia), p. 536.
  9. O. Atabek and Ch. Jungen, private communication.
  10. E. S. Chang and U. Fano, Phys. Rev. A 6, 173 (1972).
  11. R. J. W. Henry and E. S. Chang, Phys. Rev. A 5, 276 (1972); E. S. Chang, Phys. Rev. Lett. 33, 1644 (1974).
  12. K. T. Lu, Phys. Rev. A 4, 579 (1971).
  13. K. T. Lu and U. Fano, Phys. Rev. A 2, 81 (1970).
  14. D. Dill, Phys. Rev. A 7, 1976 (1973).
  15. J. A. R. Samson and J. L. Gardner, Phys. Rev. Lett. 31, 1327 (1973).
  16. A. F. Starace, J. Phys. B 6, 76 (1973).
  17. C. M. Lee and K. T. Lu, Phys. Rev. A 8, 1241 (1973).
  18. J. Geiger, in Vacuum Ultraviolet Radiation Physics, edited by E. Koch, R. Haensel, and C. Kunz (Vieweg, Braunschweig, 1974), p. 28.
  19. C. D. Lin, Astrophys. J. 187, 385 (1974).
  20. K. T. Lu, J. Opt. Soc. Am. 64, 706 (1974).
  21. K. T. Lu, in Ref. 18, p. 23.
  22. C. M. Brown, S. G. Tilford, and M. L. Ginter, J. Opt. Soc. Am. 65, 385 (1975).
  23. A. R. P. Rau and U. Fano, Phys. Rev. A 4, 1751 (1971).
  24. A. R. P. Rau, in Electron and Photon Interaction with Atoms, edited by H. Kleinpoppen and M. R. C. McDowell (Plenum, New York, 1975).
  25. C. M. Lee, Phys. Rev. A 11, 1692 (1975).
  26. See, e.g., D. L. Moores, Proc. Phys. Soc. (Lond.) 91, 830 (1967); H. E. Saraph and M. J. Seaton, Phil. Trans. R. Soc. Lond. A 271, 1 (1971).
  27. U. Fano and C. M. Lee, Phys. Rev. Lett. 31, 1573 (1973); C. M. Lee, Phys. Rev. A 10, 584 (1974).
  28. C. M. Lee, Phys. Rev. A 10, 1598 (1974).

Atabek, O.

O. Atabek, D. Dill, and Ch. Jungen, Phys. Rev. Lett. 33, 123 (1974).

O. Atabek and Ch. Jungen, private communication.

Brown, C. M.

C. M. Brown, S. G. Tilford, and M. L. Ginter, J. Opt. Soc. Am. 65, 385 (1975).

Chang, E. S.

R. J. W. Henry and E. S. Chang, Phys. Rev. A 5, 276 (1972); E. S. Chang, Phys. Rev. Lett. 33, 1644 (1974).

E. S. Chang and U. Fano, Phys. Rev. A 6, 173 (1972).

D. Dill, E. S. Chang, and U. Fano, in Electronic and Atomic Collisions, VIII ICPEAC, Beograd, Yugoslavia, 1973, edited by B. C. Čobić and M. V. Kurepa (Institute of Physics, Beograd, Yugoslavia), p. 536.

Cooper, J. W.

U. Fano and J. W. Cooper, Rev. Mod. Phys. 40, 441 (1968).

Dill, D.

O. Atabek, D. Dill, and Ch. Jungen, Phys. Rev. Lett. 33, 123 (1974).

D. Dill, Phys. Rev. A 6, 160 (1972).

D. Dill, E. S. Chang, and U. Fano, in Electronic and Atomic Collisions, VIII ICPEAC, Beograd, Yugoslavia, 1973, edited by B. C. Čobić and M. V. Kurepa (Institute of Physics, Beograd, Yugoslavia), p. 536.

D. Dill, Phys. Rev. A 7, 1976 (1973).

Fano, U.

D. Dill, E. S. Chang, and U. Fano, in Electronic and Atomic Collisions, VIII ICPEAC, Beograd, Yugoslavia, 1973, edited by B. C. Čobić and M. V. Kurepa (Institute of Physics, Beograd, Yugoslavia), p. 536.

E. S. Chang and U. Fano, Phys. Rev. A 6, 173 (1972).

U. Fano and J. W. Cooper, Rev. Mod. Phys. 40, 441 (1968).

U. Fano, Phys. Rev. A 2, 353 (1970).

A. R. P. Rau and U. Fano, Phys. Rev. A 4, 1751 (1971).

U. Fano and C. M. Lee, Phys. Rev. Lett. 31, 1573 (1973); C. M. Lee, Phys. Rev. A 10, 584 (1974).

K. T. Lu and U. Fano, Phys. Rev. A 2, 81 (1970).

Gardner, J. L.

J. A. R. Samson and J. L. Gardner, Phys. Rev. Lett. 31, 1327 (1973).

Geiger, J.

J. Geiger, in Vacuum Ultraviolet Radiation Physics, edited by E. Koch, R. Haensel, and C. Kunz (Vieweg, Braunschweig, 1974), p. 28.

Ginter, M. L.

C. M. Brown, S. G. Tilford, and M. L. Ginter, J. Opt. Soc. Am. 65, 385 (1975).

Henry, R. J. W.

R. J. W. Henry and E. S. Chang, Phys. Rev. A 5, 276 (1972); E. S. Chang, Phys. Rev. Lett. 33, 1644 (1974).

Herzberg, G.

G. Herzberg, Phys. Rev. Lett. 25, 1081 (1969).

G. Herzberg and Ch. Jungen, J. Molec. Spectrosc. 41, 425 (1972).

Jungen, Ch.

G. Herzberg and Ch. Jungen, J. Molec. Spectrosc. 41, 425 (1972).

O. Atabek, D. Dill, and Ch. Jungen, Phys. Rev. Lett. 33, 123 (1974).

O. Atabek and Ch. Jungen, private communication.

Lee, C. M.

C. M. Lee and K. T. Lu, Phys. Rev. A 8, 1241 (1973).

U. Fano and C. M. Lee, Phys. Rev. Lett. 31, 1573 (1973); C. M. Lee, Phys. Rev. A 10, 584 (1974).

C. M. Lee, Phys. Rev. A 10, 1598 (1974).

C. M. Lee, Phys. Rev. A 11, 1692 (1975).

Lin, C. D.

C. D. Lin, Astrophys. J. 187, 385 (1974).

Lu, K. T.

K. T. Lu, J. Opt. Soc. Am. 64, 706 (1974).

K. T. Lu, in Ref. 18, p. 23.

C. M. Lee and K. T. Lu, Phys. Rev. A 8, 1241 (1973).

K. T. Lu, Phys. Rev. A 4, 579 (1971).

K. T. Lu and U. Fano, Phys. Rev. A 2, 81 (1970).

Moores, D. L.

See, e.g., D. L. Moores, Proc. Phys. Soc. (Lond.) 91, 830 (1967); H. E. Saraph and M. J. Seaton, Phil. Trans. R. Soc. Lond. A 271, 1 (1971).

Rau, A. R. P.

A. R. P. Rau, in Electron and Photon Interaction with Atoms, edited by H. Kleinpoppen and M. R. C. McDowell (Plenum, New York, 1975).

A. R. P. Rau and U. Fano, Phys. Rev. A 4, 1751 (1971).

Samson, J. A. R.

J. A. R. Samson and J. L. Gardner, Phys. Rev. Lett. 31, 1327 (1973).

Seaton, M. J.

M. J. Seaton, Proc. Phys. Soc. (Lond.) 88, 801 (1966).

Starace, A. F.

A. F. Starace, J. Phys. B 6, 76 (1973).

Tilford, S. G.

C. M. Brown, S. G. Tilford, and M. L. Ginter, J. Opt. Soc. Am. 65, 385 (1975).

Other (28)

M. J. Seaton, Proc. Phys. Soc. (Lond.) 88, 801 (1966).

U. Fano and J. W. Cooper, Rev. Mod. Phys. 40, 441 (1968).

U. Fano, Phys. Rev. A 2, 353 (1970).

G. Herzberg, Phys. Rev. Lett. 25, 1081 (1969).

G. Herzberg and Ch. Jungen, J. Molec. Spectrosc. 41, 425 (1972).

O. Atabek, D. Dill, and Ch. Jungen, Phys. Rev. Lett. 33, 123 (1974).

D. Dill, Phys. Rev. A 6, 160 (1972).

D. Dill, E. S. Chang, and U. Fano, in Electronic and Atomic Collisions, VIII ICPEAC, Beograd, Yugoslavia, 1973, edited by B. C. Čobić and M. V. Kurepa (Institute of Physics, Beograd, Yugoslavia), p. 536.

O. Atabek and Ch. Jungen, private communication.

E. S. Chang and U. Fano, Phys. Rev. A 6, 173 (1972).

R. J. W. Henry and E. S. Chang, Phys. Rev. A 5, 276 (1972); E. S. Chang, Phys. Rev. Lett. 33, 1644 (1974).

K. T. Lu, Phys. Rev. A 4, 579 (1971).

K. T. Lu and U. Fano, Phys. Rev. A 2, 81 (1970).

D. Dill, Phys. Rev. A 7, 1976 (1973).

J. A. R. Samson and J. L. Gardner, Phys. Rev. Lett. 31, 1327 (1973).

A. F. Starace, J. Phys. B 6, 76 (1973).

C. M. Lee and K. T. Lu, Phys. Rev. A 8, 1241 (1973).

J. Geiger, in Vacuum Ultraviolet Radiation Physics, edited by E. Koch, R. Haensel, and C. Kunz (Vieweg, Braunschweig, 1974), p. 28.

C. D. Lin, Astrophys. J. 187, 385 (1974).

K. T. Lu, J. Opt. Soc. Am. 64, 706 (1974).

K. T. Lu, in Ref. 18, p. 23.

C. M. Brown, S. G. Tilford, and M. L. Ginter, J. Opt. Soc. Am. 65, 385 (1975).

A. R. P. Rau and U. Fano, Phys. Rev. A 4, 1751 (1971).

A. R. P. Rau, in Electron and Photon Interaction with Atoms, edited by H. Kleinpoppen and M. R. C. McDowell (Plenum, New York, 1975).

C. M. Lee, Phys. Rev. A 11, 1692 (1975).

See, e.g., D. L. Moores, Proc. Phys. Soc. (Lond.) 91, 830 (1967); H. E. Saraph and M. J. Seaton, Phil. Trans. R. Soc. Lond. A 271, 1 (1971).

U. Fano and C. M. Lee, Phys. Rev. Lett. 31, 1573 (1973); C. M. Lee, Phys. Rev. A 10, 584 (1974).

C. M. Lee, Phys. Rev. A 10, 1598 (1974).

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