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
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