Skip to main content
Log in

A priori constraints in the force field calculations of polyatomic molecules

  • Published:
Journal of Structural Chemistry Aims and scope Submit manuscript

Abstract

An inverse problem on calculating the force field parameters of a molecule from experimental data and its solution using regularizing algorithms are considered The choice of a priori constraints that may be imposed on solutions of the inverse vibrational problem is analyzed in terms of quantum mechanical calculations of some polyatomic molecules at different levels of theory, including electron correlation.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. A. N. Tikhonov, A. S. Leonov, and A. G. Yagola,Nonlinear Ill-Posed Problems [in Russian], Nauka, Moscow (1995).

    Google Scholar 

  2. I. V. Kochikov, G. M. Kuramshina, Yu. A. Pentin, and A. G. Yagola,Inverse Problems of Vibrational Spectroscopy [in Russian], Moscow University Press, Moscow (1993).

    Google Scholar 

  3. I. V. Kochikov, G. M. Kuramshina, Yu. A. Pentin, et al.,J. Mol Struct,272, 13–33 (1992).

    Article  CAS  Google Scholar 

  4. I. V. Kochikov, G. M. Kuramshina, and A. G. Yagola,Zh. Vyshisl Matern. Matern Fiz.,27, No. 1, 1651–1657 (1987).

    Google Scholar 

  5. C. Möller and M. S. Plesset,Phys. Rev.,46, 618–620 (1934).

    Article  Google Scholar 

  6. J. A. Popple, R. Krishnan, H. B. Shlegel, and J. S. Binkley,Int. J. Quant. Chem.,14, 545–560 (1978).

    Article  Google Scholar 

  7. W. Kohn and L. J. Sham,Phys. Rev.,140, A1133-A1138 (1965).

    Article  Google Scholar 

  8. A. D. Becke,J. Chem. Phys.,98, 5648–5652 (1993).

    Article  CAS  Google Scholar 

  9. G. M. Kuramshina, F. Weinhold, I. V. Kochikov, et al.,Zh. Fiz. Khim.,68, No. 3, 401–414 (1994).

    CAS  Google Scholar 

  10. G. M. Kuramshina, F. Weinhold, I. V. Kochikov, et al.,J. Chem. Phys.,100, No. 2, 1414–1424 (1994).

    Article  CAS  Google Scholar 

  11. G. M. Kuramshina, F. Weinhold, and Yu. A. Pentin,Zh. Fiz. Khim.,68, No. 11, 2015–2023 (1994).

    CAS  Google Scholar 

  12. G. M. Kuramshina, “Force fields, vibrational spectra, and structure of fluorine + chlorine-substituted hydrocarbons,” Doctoral Dissertation, Moscow (1994).

  13. G. M. Kuramshina, F. Weinhold, and Yu. A. Pentin, to appear in:J. Chem. Phys. (1997).

  14. L. A. Gribov, V. A. Dementiev, and A. T. Todorovskii,Interpretation of Vibrational Spectra of Alkanes [in Russian], Nauka, Moscow (1986).

  15. L. V. Sverdlov, M. A. Kovner, and E. P. Krainov,Vibrational Spectra of Polyatomic Molecules [in Russian], Nauka, Moscow (1970).

    Google Scholar 

  16. A. Muller and N. Mohan, in:Vibrational Spectroscopy: Modern Trends, A. J. Barnes and W. J. Orville-Thomas (eds.), Elsevier, Amsterdam (1977).

    Google Scholar 

  17. G. Zerbi, in:Vibrational Spectroscopy: Modem Trends, A. J. Barnes and W. J. Orville-Thomas (eds.), Elsevier, Amsterdam (1977).

    Google Scholar 

  18. P. Pulay, G. Borossy, and F. Torok,J. Mol Struct., 2, 336–340 (1968).

    Article  CAS  Google Scholar 

  19. H. J. Frish, G. W. Trucks, H. Shlegel, et,al.GAUSSIAN 92/DFT, Pittsburgh, PA (1993).

  20. V. M. Senyavm, G. M. Kuramshina, and Yu. A. Pentin,Zh. Fiz. Khim., 66, No. 2, 367–374.

  21. T. Sakka, Y. Ogata, and H. Iwasaki,J. Phys. Chem., 96, 10697–10702 (1992).

    Article  CAS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Zhumal Struktumoi Khimii, Vol. 38, No. 2, pp. 221–239, March–April, 1997. Original article submitted June 14, 1996.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kuramshina, G.M., Yagola, A.G. A priori constraints in the force field calculations of polyatomic molecules. J Struct Chem 38, 181–194 (1997). https://doi.org/10.1007/BF02762644

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02762644

Keywords

Navigation