A Semiempirical Analysis of Perturbations in the Triplet 3s, 3d Complex of Molecular Hydrogen: The Radiative Lifetimes for Rovibronic Levels of the h 3g+, g3g +, i3Πg+, and j 3Δg+ States of h2

S. A. Astashkevich, B. P. Lavrov

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2 Scopus citations

Abstract

The dependences of the radiative lifetimes τnvNfor rovibronic levels of the h3g+, g 3g+, i3Πg +, and j3Δg+ states on the vibrational, v, and rotational, N, quantum numbers (v = 0-3 and N = 1-6) of H2 have been derived for the first time. We calculated the absolute values of τnvN in terms of a nonadiabatic model that incorporates the interaction between the (3sσ)3g+, (3dσ)3g+, (3dπ)3Πg+, and (3dδ) 3Δg+ states by using our semiempirical expansion coefficients for the wave functions in the Born-Oppenheimer basis and the dipole moments for electronic transitions to the (2pσ) 3u+ and (2pπ)3Π u states. We analyze the perturbations of the radiative lifetimes for rovibronic levels of the h3g+, g 3g+, i3Πg +, and j3Δg+ states in the triplet 3s, 3d complex of H2. Considerable differences (reaching a factor of 5 for h3g+ and a factor of 2 for i3πg+) were found between the nonadiabatic and adiabatic radiative lifetimes of rovibronic levels. These differences can be explained both by a significant effect of the (3sσ)3g+ state in the i 3Πg+ perturbation and by a considerable difference (reaching an order of magnitude) between the adiabatic values of τnvN for (3sσ)3g+ and (3dπ)3Πg+. The differences between the nonadiabatic and adiabatic lifetimes for rovibronic levels of the g 3g+ and j3Δ g+ states are much smaller (no more than 11%).

Original languageEnglish
Pages (from-to)380-388
Number of pages9
JournalOptics and Spectroscopy (English translation of Optika i Spektroskopiya)
Volume93
Issue number3
DOIs
StatePublished - 1 Sep 2002

Scopus subject areas

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

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Dive into the research topics of 'A Semiempirical Analysis of Perturbations in the Triplet 3s, 3d Complex of Molecular Hydrogen: The Radiative Lifetimes for Rovibronic Levels of the h <sup>3</sup>∑<sub>g</sub><sup>+</sup>, g<sup>3</sup>∑<sub>g</sub> <sup>+</sup>, i<sup>3</sup>Π<sub>g</sub><sup>+</sup>, and j <sup>3</sup>Δ<sub>g</sub><sup>+</sup> States of h<sub>2</sub>'. Together they form a unique fingerprint.

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