Electron-impact excitation cross sections of vibrationally excitedX1Σg+ 

Cross Section Data for Electron-Impact Inelastic Processes of Vibrationally Excited Molecules of Hydrogen and Its Isotopes

“…(4.5) as well. The required transition energies can be obtained from the corresponding ones for the H 2 molecule, by applying a mass-scaling law based on the correspondence among the vibrational eigenvalues for the various isotopes [8]. According to this scaling law, the v i th vibrational level for a given isotope should have the same energy eigenvalue as a pseudo-vibrational level of the hydrogen molecule whose (noninteger) quantum number v is [6,8] …”

“…In the present paper the following singlet-singlet (optically allowed) transitions have been included: g , except the last one which involves two excited electronic states. The related dissociative and total cross sections (the bound-to-bound non-dissociative cross sections can be obtained from (2.1) by subtraction) have been calculated as a function of both the incident energy and the initial vibrational quantum number v i , by using the quantum-mechanical impact parameter method [5,7,8,13,19,20].…”

“…For the total excitation and dissociative ionization cross sections certain scaling relationships were established recently [8,15,16] both with respect to the vibrational quantum number and the isotope mass. The isotope effect in the dissociative electron attachment process has been known to exist from the early 1960s [17] and was recently discussed in more detail [18].…”

From cold to fusion plasmas: spectroscopy, molecular dynamics and kinetic considerations

“…We show for the first time results based on an updated version of the model in [36]. The improvements concern the possibility to deliver space-time plots of the population rates and the inclusion of a more consistent set of cross sections for the Balmer-α emission via H 2 (X 1 Σ + g ,ν) dissociation to H(n=3), based on the latest results in [37,38].…”

“…Modeling of non equilibrium vibrational distributions requires state-to-state cross sections resolved on the vibrational degree of freedom for different channels [5,37,38].…”