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Keld L. Bak

Calculated Rotational and Vibrational g Factors of LiH X (1)Sigma(+) and Evaluation of Parameters in Radial Functions from Rotational and Vibration-Rotational Spectra

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DOI

  • S. P. A. Sauer, University of Copenhagen, Denmark
  • I. Paidarová, Czech Academy of Sciences
  • ,
  • J. Oddershede, Univ Southern Denmark, University of Southern Denmark
  • ,
  • Keld L. Bak
  • J. F. Ogilvie, Universidad de Costa Rica

The vibrational g factor, that is, the nonadiabatic correction to the vibrational reduced mass, of LiH has been calculated for internuclear distances over a wide range. Based on multiconfigurational wave functions with a large complete active space and an extended set of gaussian type basis functions, these calculations yielded also the rotational g factor, the electric dipolar moment, and its gradient with internuclear distance for LiH in its electronic ground state X (1)Sigma(+). The vibrational g factor g(v) exhibits a pronounced minimum near internuclear distance R = 3.65 x 10(-10) m; the derivative of electric dipolar moment and the nonadiabatic matrix element coupling the electronic ground state to the first electronically excited state exhibit extrema near the same location that is also near the avoided crossing of the curves for potential energy for the electronic ground state and excited state A (1)Sigma(+). The irreducible contribution g(r)(irr)(R) to the rotational g factor increases monotonically over the calculated domain, whereas the irreducible contribution g(v)(irr)(R) to the vibrational g factor has a minimum at the same location as that of g(v) itself. From these calculated radial functions, we derived values of the rotational g factor and electric dipolar moment for LiH in vibrational states v = 0 and 1, and the corresponding rotational dependences, in satisfactory agreement with experimental values. These calculated data of rotational g factor served as constraints in new fits of 1000 vibration-rotational spectral data of LiH in four isotopic variants, which yield estimates of adiabatic corrections for comparison with published data and of the vibrational g factor for comparison with our calculated results. (C) 2010 Wiley Periodicals, Inc. Int J Quantum Chem 111: 736-752, 2011

Original languageEnglish
JournalInternational Journal of Quantum Chemistry
Volume111
Issue4
Pages (from-to)736-752
Number of pages17
ISSN0020-7608
DOIs
Publication statusPublished - 15 Mar 2011

    Research areas

  • rotational g factor, vibrational g factor, nonadiabatic reduced mass, spectral fitting, LiH, BORN-OPPENHEIMER APPROXIMATION, ELECTRIC DIPOLAR MOMENT, DIATOMIC-MOLECULES, POTENTIAL-ENERGY, DUNHAM COEFFICIENTS, ANALYTIC TREATMENT, HYDROGEN HALIDES, LITHIUM HYDRIDE, G TENSORS, STATE

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