Semiempirical Study of Perturbations of the Landé g Factors of Electronic-Vibrational-Rotational Levels of Hydrogen: II. i 3g- and j3Delta; g- States of the H2, HD, and D2 Molecules

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Abstract

The values of the Landé g factors of the i3g-, v, N and j3Δg- v, N states of the H2, HD, and D2 molecules have been found semiempirically for the following vibrational and rotational quantum numbers: v≤ 3; N ≤ 7 for H2; N ≤ 5 for HD; and N ≤ 11 for D2. These values were obtained in terms of the nonadiabatic model, which takes into account the interaction between the 3dπ 3g and 3dδ3Δg states with the same values of v and N in the approximation of pure precession, with the use of semiempirical values of the expansion coefficients of the wave functions in the Born-Oppenheimer basis determined by us previously and the results of numerical calculation of the overlap integrals of the vibrational wave functions of these states. The results obtained for the H2 molecule are in good agreement with the data in the literature. For the i 3g- and j3Δ g- states of the HD and D2 molecules, the g factors were found for the first time. This made it possible to study for the first time the role of the isotopic effect in the perturbation of the dependences of the g factors of rovibrational levels on v and N for the triplet electronic states of the hydrogen molecule. It was found that the interference effects of interaction between the 3dπ3g and 3dδ3Δg states lead both to significant differences - up to 8, 6, and 11 times for H2, HD, and D 2, respectively (the i3g- state), 20 times for H2 and HD, and two orders of magnitude for D2 (the j3Δg- state) - between the nonadiabatic values of the g factors and the corresponding adiabatic values for some isotopomers of the hydrogen molecule and to significant differences - up to 9 and 1.5 times for the j 3Δg- and i3g- states, respectively - in the nonadiabatic values of the g factors of rovibrational levels of different isotopomers of the hydrogen molecule.

Original languageEnglish
Pages (from-to)35-46
Number of pages12
JournalOptics and Spectroscopy (English translation of Optika i Spektroskopiya)
Volume96
Issue number1
DOIs
StatePublished - 1 Jan 2004

Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Atomic and Molecular Physics, and Optics

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