• Title of article

    APPLICATIONS OF REGULARIZING ALGORITHMS IN STRUCTURAL CHEMISTRY

  • Author/Authors

    Kuramshina, G. M. Department of Physical Chemistry - Faculty of Chemistry - Lomonosov Moscow State University, Moscow, Russia , Yagola, A. G. Department of Mathematics - Faculty of Physics - Lomonosov Moscow State University Moscow, Russia

  • Pages
    20
  • From page
    53
  • To page
    72
  • Abstract
    Regularizing algorithms developed for joint treatment of gas-phase electron diffrac- tion and vibrational spectroscopic data and extended to include systems with large-amplitude oscillatory motion are discussed. The treatment is augmented by the inclusion of microwave rotational constants. The analysis of data from experimental sources is guided by quantum mechanical molecular calculations of molecular geometry and force field. The computed force field matrix can be corrected empirically by using scale factors determined both in Cartesian and internal coordinates.
  • Keywords
    inverse problem , nonlinear ill-posed problem , theory of regularization , vibra- tional spectra , quantum mechanical regularized molecular force field
  • Journal title
    Eurasian Journal of Mathematical and Computer Applications
  • Serial Year
    2017
  • Record number

    2601661