Inelastic Scattering of Electrons by the Hydrogen Molecule Ion

Abstract

The inelastic scattering of electrons by H2 + is investigated by means of the first Born approximation. Using the exact electronic wave functions, the integral that must be evaluated to find the differential cross section for fixed internuclear separation is studied for an electronic excitation from the ground state to any discrete excited state. Values related to this integral are tabulated for the processes ls<T a -2p<r u , lsog -2pir u , lsa-g-lso-g at the equilibrium internuclear distance, while the first case is studied at two additional internuclear separations. The corresponding total cross sections are calculated for incident energies up to 400 eV. Assuming that rotational and vibrational levels of the final electronic state cannot be resolved, it is known that an observed cross section necessarily depends on the initial vibrational state of the molecular ion. The effect of two different initial vibrational states (v = 0,3) is investigated for the \s<x g -2pcr u case and it is observed that the vibrational state has a marked influence on the total cross section.

Probing molecular dynamics with attosecond resolution using correlated wave packet pairs

“…Although many dissociation pathways contribute to the observed kinetic energy spectra, we can isolate the Σ u state as particularly significant. This is because, among all inelastic scattering events from the Σ g surface, excitation to Σ u has the highest cross-section over the energy range examined here 20 . In addition, the Σ u leads to fragments with the second-largest kinetic energy.…”

Rescattering Double Ionization ofD2andH2by Intense Laser Pulses

“…The electrons were followed using classical trajectories, including both laser and ionic fields, while the propagation and spread of the vibrational wave packet was calculated numerically. The probability that the returning electron excited the D 2 molecule out of the 1s g state was calculated using theoretical cross sections [27] for free electrons on H 2 , adjusted for dependence on internuclear distance, including both 2p u and 2p u channels and correcting for the difference between ''near'' and asymptotic electron energies [9]. Once populated, the excited electronic states were allowed to ionize further onto the double ionization potential curve according to ADK ionization rates.…”

Electron Scattering by H2 with and without Vibrational Excitation. I. Quantum-Mechanical Theory

“…where the potential is defined in (29), and (51) where !1Eco is the vibrational excitation energy of the v' = c state. Thus the distorting effect of the spherically averaged potential is included but the distortion due to the anisotropic part of the potential is not.…”