## Abstract

The g factors of rovibrational levels of the (4d)r ^{3}Π _{g} ^{-} and (4d)s ^{3}Δ _{g} ^{-} states of the H_{2} and D_{2} molecules have been obtained for the first time. These values were found within the nonadiabatic model taking into account the interaction of the 4dπ^{3}Π _{g} and 4dδ^{3}Δ_{g} states in the pure precession approximation using semiempirical values of the expansion coefficients of the wave function in an adiabatic basis, which was obtained for the first time for the states of the triplet 4d complex of terms of the hydrogen molecules, and the results of numerical calculation of the overlap integrals of the vibrational wave functions of these states. It is established that the interference effects of the interaction between the 4dπ^{3}Π _{g} ^{-} and 4dδ^{3}Δ _{g} ^{-} states lead to significant (up to 7 times for the r ^{3}Π _{g} ^{-} state of the H_{2} and D _{2} molecules and 70 and 8 times for the s ^{3}Δ _{g} ^{-} state of the H_{2} and D_{2} molecules, respectively) differences between the nonadiabatic values of the g factors and the corresponding adiabatic values. It is found that the perturbed values of the g factors are much closer to the values corresponding to the case of Hund's d coupling of angular momenta than to the values corresponding to the b coupling. It is established that the perturbations of the g factors of rovibrational levels of the states of the 4d complex of terms are much greater (up to 2 times for the ^{3}Π _{g} ^{-} states and 350 times for the ^{3}Δ _{g} ^{-} states) than the perturbations of the same characteristics for the 3d complex of terms of the hydrogen molecule with the same vibrational and rotational quantum numbers.

Original language | English |
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Pages (from-to) | 508-515 |

Number of pages | 8 |

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

Volume | 101 |

Issue number | 4 |

DOIs | |

State | Published - 1 Oct 2006 |

## Scopus subject areas

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