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Transfer of force constants and scaling factors in vibrational problems

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Abstract

This paper discusses the predictive abilities of the methods of force constant and scaling factor transfer to the force fields of related molecules in solving vibrational problems for the latter. It is noted that the method of scaling the quantum mechanical force fields and transferring the scaling factors is preferable. The vibrational spectra of the rotational isomers of butadiene-1,3 are considered as an example. The vibrational frequency assignments are tested using a matrix analogous to the Duschinsky matrix.

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References

  1. M. V. Volkenshtein, M. A. El’yashevich, and B. I. Stepanov,Molecular Vibrations [in Russian], Vols. 1 and 2, Gostekhizdat, Moscow (1949).

    Google Scholar 

  2. E. B. Wilson, Jr., J. C. Decius, and P. C. Cross,Molecular Vibrations. The Theory of Infrared and Raman Vibrational Spectra, McGraw-Hill, New York (1955).

    Google Scholar 

  3. S. J. Cyvin,Molecular Vibrations and Mean-Square Amplitudes, Universitets Forlaget, Oslo (1968).

    Google Scholar 

  4. M. V. Volkenshtein, L. A. Gribov, M. A. El’yashevich, and B. I. Stepanov,Molecular Vibrations [in Russian], Nauka, Moscow (1972).

    Google Scholar 

  5. G. M. Kuramshina, F. Weinhold, I. V. Kochikov, et al,Zh. Fiz. Khim.,68, 401–414 (1994).

    CAS  Google Scholar 

  6. F. Török, A. Hagedüs, K. Kosa, and P. Pulay,J. Mol. Struct.,32, 93–99 (1976).

    Article  Google Scholar 

  7. Yu. N. Panchenko, P. Pulay, and F. Török,ibid.,34, 283–289 (1976).

    Article  CAS  Google Scholar 

  8. V. I. Pupyshev, Yu. N. Panchenko, Ch. W. Bock, and G. Pongor,J. Chem. Phys.,94, 1247–1252 (1991).

    Article  CAS  Google Scholar 

  9. Yu. N. Panchenko, G. R. De Maré, and V. I. Pupyshev,J. Phys. Chem.,99, 17544–17550 (1995).

    Article  CAS  Google Scholar 

  10. Yu. N. Panchenko and N. F. Stepanov,Zh. Fiz. Khim.,69, 592–600 (1995).

    CAS  Google Scholar 

  11. Yu. N. Panchenko,Izv. Ross. Akad. Nauk, Ser. Khim.,4, 800–807 (1996).

    Google Scholar 

  12. Yu. N. Panchenko,Vestn. Mosk. Gos. Univ., Khim.,37, 453–460 (1996).

    CAS  Google Scholar 

  13. Yu. N. Panchenko, G. R. De Maré, and N. F. Stepanov,J. Mol. Struct.,348, 413–416 (1995).

    Article  CAS  Google Scholar 

  14. N. F. Stepanov, G. R. De Maré, and Yu. N. Panchenko,ibid.,342, 9–14 (1996).

    Google Scholar 

  15. V. I. Pupyshev, N. F. Stepanov, S. V. Krasnoshchiokov, et al.,ibid.,376, 363–368 (1996).

    Article  CAS  Google Scholar 

  16. Yu. N. Panchenko,ibid.,410/411, 327–329 (1997).

    Google Scholar 

  17. S. V. Krasnoshschiokov, N. F. Stepanov, and Yu. N. Panchenko, to appear in:Zh. Strukt. Khim.

  18. Ch. W. Bock, Yu. N. Panchenko, S. V. Krasnoshchiokov, and V. I. Pupyshev,J. Mol. Struct.,129, 57–67 (1985).

    Article  CAS  Google Scholar 

  19. Yu. N. Panchenko, S. V. Krasnoshchiokov, P. George, and Ch. W. Bock,Struct. Chem.,3, 15–26 (1992).

    Article  CAS  Google Scholar 

  20. Yu. N. Panchenko and Ch. W. Bock,ibid.,3, 27–35 (1992).

    Article  CAS  Google Scholar 

  21. Yu. N. Panchenko, Ch. W. Bock, R. Aroca, and G. R. De Maré, (in press).

  22. G. K. Kuramshina, F. Weinhold, and Yu. A. Pentin,Zh. Fiz. Khim.,68, 2015–2023 (1994).

    CAS  Google Scholar 

  23. G. R. De Maré, Yu. N. Panchenko, J. van der Auwera,J. Phys. Chem.,101, 3998–4004 (1997).

    Google Scholar 

  24. K. W. Wiberg and R. E. Rosenberg,J. Am. Chem. Soc,112, 1509–1519 (1990).

    Article  CAS  Google Scholar 

  25. P. Huber-WÄlchli and Hs. H. Günthard,Spectrochim. Acta,A37, 285–304 (1981).

    Google Scholar 

  26. Y. Furukawa, H. Takeuchi, I. Harada, and M. Tasumi,Bull. Chem. Soc. Jpn.,56, 392–399 (1983).

    Article  CAS  Google Scholar 

  27. B. R. Arnold, V. Balaji, and J. Michl,J. Am. Chem. Soc,112, 1808–1812 (1990).

    Article  CAS  Google Scholar 

  28. S. V. Krasnoshchekov, A. V. Abramenkov, and Yu. N. Panchenko,Vestn. Mosk. Gos. Univ., Khim.,26, No. 1, 29–33 (1985).

    CAS  Google Scholar 

  29. S. V. Krasnoshchekov, A. V. Abramenkov, and Yu. N. Panchenko,Zh. Fiz. Khim.,71, 497–501 (1997).

    CAS  Google Scholar 

  30. Ch. W. Bock and Yu. N. Panchenko,J. Mol. Struct. (Theochem),187, 69–82 (1989).

    Article  Google Scholar 

  31. K. Kveseth, R. Seip, and D. Kohl,Acta Chem. Scand.,A34, 31–42 (1980).

    Article  CAS  Google Scholar 

  32. W. Caminati, G. Grassi, and A. Bauder,Chem. Phys. Lett,148, 13–16 (1988).

    Article  CAS  Google Scholar 

  33. H. Torii and M. Tasumi,J. Chem. Phys.,101, 4496–4509 (1994).

    Article  CAS  Google Scholar 

  34. H. Torii and M. Tasumi,Vibr. Spectrosc,8, 205–214 (1995).

    Article  CAS  Google Scholar 

  35. F. Duschinsky,Acta Physicochim. USSR,7, 551–566 (1937).

    Google Scholar 

  36. G. Berces and T. Ziegler,J. Chem. Phys.,98, 4793–4804 (1993).

    Article  CAS  Google Scholar 

  37. G. Rauhut and P. Pulay,J. Phys. Chem.,99, 3093–3100 (1995).

    Article  CAS  Google Scholar 

  38. X. Zhou, C. J. M. Wheeles, and R. Liu,Vibr. Spectrosc,12, 53–63 (1996).

    Article  CAS  Google Scholar 

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Panchenko, Y.N. Transfer of force constants and scaling factors in vibrational problems. J Struct Chem 40, 451–455 (1999). https://doi.org/10.1007/BF02700644

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  • DOI: https://doi.org/10.1007/BF02700644

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