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Inverse problems in mass calculations of atomic parameters

  • Optics and Spectroscopy
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Abstract

Methods of solving inverse problems which arise in determining atomic parameters are briefly reviewed. The parametric method of studying serial perturbations in the spectra of complex elements is considered in more detail. The classification of interacting series complexes given here, together with the generalized Edlen serial formula and the corresponding results, modifies existing concepts regarding the role of interactions of different series.

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Literature cited

  1. A. N. Tikhonov and V. Ya. Arsenin, Methods of Solving Ill-Posed Problems [in Russian], Nauka, Moscow (1986).

    Google Scholar 

  2. L. V. Gorchakov, V. P. Demkin, T. T. Murav'ev, et al., Radiation of Inert-Gas Atoms in Electric Field [in Russian], Izd. TGU, Tomsk (1984).

    Google Scholar 

  3. L. V. Gorchakov, Candidate's Dissertation, Tomsk State University, Tomsk (1974).

    Google Scholar 

  4. L. V. Gorchakov and V. P. Demkin, Submitted to Izv. Vyssh. Uchebn. Zaved., Fiz. (1988); Paper 1943 Deposited at VINITI [in Russian], Moscow (1988).

  5. J. C. Slater, Quantum Theory of Atomic Spectra, Vol. 2, McGraw-Hill, New York (1960).

    Google Scholar 

  6. L. V. Gorchakov, Submitted to Izv. Vyssh. Uchebn. Zaved., Fiz. (1982); Paper 5414 Deposited at VINITI [in Russian], Moscow (1982).

  7. L. V. Gorchakov, Submitted to Izv. Vyssh. Uchebn. Zaved., Fiz. (1984); Paper 530 Deposited at VINITI [in Russian], Moscow (1984).

  8. L. V. Gorchakov, in: Abstracts of the Proceedings of the Twentieth All-Union Session on Spectroscopy [in Russian], Kiev (1988), Part 1, p. 61.

  9. L. V. Gorchakov, Submitted to Izv. Vyssh. Uchebn. Zaved., Fiz. (1988); Paper 755 Deposited at VINITI [in Russian], Moscow (1987).

  10. L. V. Gorchakov, Submitted to Izv. Vyssh. Uchebn. Zaved., Fiz. (1988); Paper 6487 Deposiited at VINITI [in Russian], Moscow (1988).

  11. B. Edlen, Handb. Phys.,27/I, 80 (1967).

    Google Scholar 

  12. L. Minnhagen, Ark. Fys.,1, No. 20, 425 (1949).

    Google Scholar 

  13. J. E. Hansen, B. R. Judd, and G. M. Lister, J. Phys. B,20, No. 20, 5275 (1987).

    Google Scholar 

  14. J. E. Hansen, B. R. Judd, and G. M. Lister, J. Phys. B,20, No. 20, 5291 (1987).

    Google Scholar 

  15. R. E. Trees, Phys. Rev.,83, 756 (1957).

    Google Scholar 

  16. K. Rajnak and B. G. Wybourne, Phys. Rev.,132, No. 1, 280 (1963).

    Google Scholar 

  17. A. V. Loginov, Author's Abstract of Candidate's Dissertation, Leningrad (1975).

  18. L. V. Gorchakov, Submitted to Izv. Vyssh. Uchebn. Zaved., Fiz. (1988); Paper 1941 Deposited at VINITI [in Russian], Moscow (1988).

  19. L. V. Gorchakov, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 11, 108 (1989).

    Google Scholar 

  20. L. V. Gorchakov, I. I. Murav'ev, and A. M. Yancharina, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 3, 50 (1974).

    Google Scholar 

  21. L. V. Gorchakov and N. Yu. Filimonova, Submitted to Izv. Vyssh. Uchebn. Zaved., Fiz., (1976); Paper 3967 Deposited at VINITI [in Russian], Moscow (1976).

  22. E. E. Dynkin, Usp. Mat. Nauk,2, No. 4, 59 (1947).

    Google Scholar 

  23. D. Forsythe, M. Malcolm, and K. Mouler, Machine Methods of Mathematical Calculation [Russian translation], Mir, Moscow (1980).

    Google Scholar 

  24. D. Forsythe and K. Mouler, Numerical Solution of Systems of Linear Algebraic Equations [Russian translation], Mir, Moscow (1969).

    Google Scholar 

  25. V. S. Kurov, L. V. Gorchakov, and V. N. Trushnikov, Submitted to Izv. Vyssh. Uchebn. Zaved., Fiz., (1980); Paper 3712 Deposited at VINITI [in Russian], Moscow (1980).

  26. V. N. Trushnikov, Zh. Vychisl. Mat. Mat. Fiz.,19, No. 4, 822 (1979).

    Google Scholar 

  27. L. V. Gorchakov, V. S. Kurov, and A. M. Sevnin, Submitted to Izv. Vyssh. Uchebn. Zaved., Fiz. (1987); Paper 103 Deposited at VINITI [in Russian], Moscow (1983).

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 4, pp. 25–30, April, 1991.

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Gorchakov, L.V. Inverse problems in mass calculations of atomic parameters. Soviet Physics Journal 34, 299–303 (1991). https://doi.org/10.1007/BF00898090

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  • DOI: https://doi.org/10.1007/BF00898090

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