## Abstract

The values of the Landé g factors of the i^{3}∏ _{g}^{-}, v, N and j^{3}Δ_{g}^{-} v, N states of the H_{2}, HD, and D_{2} molecules have been found semiempirically for the following vibrational and rotational quantum numbers: v≤ 3; N ≤ 7 for H_{2}; N ≤ 5 for HD; and N ≤ 11 for D_{2}. These values were obtained in terms of the nonadiabatic model, which takes into account the interaction between the 3dπ ^{3}∏_{g} and 3dδ^{3}Δ_{g} 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 H_{2} molecule are in good agreement with the data in the literature. For the i ^{3}∏_{g}^{-} and j^{3}Δ _{g}^{-} states of the HD and D_{2} 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 3dπ^{3}∏_{g} and 3dδ^{3}Δ_{g} states lead both to significant differences - up to 8, 6, and 11 times for H_{2}, HD, and D _{2}, respectively (the i^{3}∏_{g}^{-} state), 20 times for H_{2} and HD, and two orders of magnitude for D_{2} (the j^{3}Δ_{g}^{-} 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 ^{3}Δ_{g}^{-} and i^{3}∏ _{g}^{-} states, respectively - in the nonadiabatic values of the g factors of rovibrational levels of different isotopomers of the hydrogen molecule.

Original language | English |
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Pages (from-to) | 35-46 |

Number of pages | 12 |

Journal | Optics and Spectroscopy (English translation of Optika i Spektroskopiya) |

Volume | 96 |

Issue number | 1 |

DOIs | |

State | Published - 1 Jan 2004 |

## Scopus subject areas

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