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Regularization method for solving the inverse problem in multicenter shape resonance theory

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Abstract

A scheme for determination of the local structure parameters of polyatomic systems from experimental shape resonances is suggested. The scheme is considered for the case when there are more unknown parameters than the experimentally determined values. The scheme is tested for determination of geometrical parameters using soft X-ray absorption spectra of N2, NO2, CH3NO2, and solid NaNO2 molecules.

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References

  1. Yu. F. Migal,J. Phys. B: At. Mol. Opt. Phys.,27, 1515–1524 (1994).

    Article  CAS  Google Scholar 

  2. Yu. F. Migal, ibid.,26, 2755–2766 (1993).

    Article  CAS  Google Scholar 

  3. Yu. F. Migal, ibid.,26, 2767–2775 (1993).

    Article  CAS  Google Scholar 

  4. A. N. Tikhonov and V. Ya. Arsenin,Methods of Solving Ill-Posed Problems [in Russian], Nauka, Moscow (1979).

    Google Scholar 

  5. V. P. Baltakhinov,Modern Vibrational Spectroscopy of Inorganic Compounds [in Russian], Nauka, Novosibirsk (1990), pp. 243–266.

    Google Scholar 

  6. R. Boyd, T.-S. Ho, and H. Rabitz,J. Chem. Phys.,103, 4052–4060 (1995).

    Article  CAS  Google Scholar 

  7. S. Trajmar, D. F. Register, and A. Chutjian,Phys. Rep.,97, 219–356 (1983).

    Article  CAS  Google Scholar 

  8. A. V. Zhadenov, V. N. Akimov, and A. S. Vinogradov,Opt. Spektrosk.,62, 340–345 (1987).

    CAS  Google Scholar 

  9. A. S. Vinogradov and V. N. Akimov, ibid.,45, 816–825 (1993).

    Google Scholar 

  10. A. P. Cox and S. Warring,J. Chem. Soc., Faraday II,68, 1060–1071 (1972).

    Article  CAS  Google Scholar 

  11. M. I. Kay and B. C. Frazer,Acta Crystallogr.,14, 56 (1961).

    Article  CAS  Google Scholar 

  12. L. A. Gribov,Zh. Strukt. Khim.,35, No. 4, 123–134 (1994).

    CAS  Google Scholar 

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Authors
  1. Yu. F. Migal
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Additional information

Don State Technical University. Translated fromZhurnal Strukturnoi Khimii, Vol. 39, No. 1, pp. 18–25, January–February, 1998.

This work was supported by RFFR grant No. 96-03-32204a.

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Migal, Y.F. Regularization method for solving the inverse problem in multicenter shape resonance theory. J Struct Chem 39, 14–20 (1998). https://doi.org/10.1007/BF02873819

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  • DOI: https://doi.org/10.1007/BF02873819

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