Multiple-scattering approach to the vibrational-rotational excitation of molecules by slow electrons

Abstract

The cross sections for vibrational and rotational excitation of H2, Li2, Na2 and K2 by slow electrons are calculated in the adiabatic approximation using a zero range potential model to obtain the amplitude of electron scattering for a 'frozen' molecule. The advantage of the zero range potential model is the possibility of taking into account explicitly the effect of multiple scattering. The results are compared with the available experimental data and other calculations.

Zero-range potentials in multi-channel diatomic molecule scattering

“…To some extent this expression is the generalization of a Drukarev and Yurova formula (see Ref. [7]) for pure vibrational-rotational excitations at fixed R. However, as distinct from above mentioned result the formula (3.19) arise from averaging over all initial and summing over final rotational molecular states so as only electron-vibrational excitations are taken into account.…”

“…Initially this approximation was applied by Drozdov [11], Chase [12] and Oksyuk [13]. The adiabatic approximation in ZRP model was developed by Demkov and Ostrovsky [1] and Drukarev and Yurova [7] (see also Ostrovsky and Ustimov [14]). Differential cross sections of the electron-rotational-vibrational transitions can be expressed via corresponding matrix elements of the electron transition amplitude which obtained in space-fixed nuclei approximation by the formula…”

“…As an important example we consider applications to a diatomic molecule. In the framework of the generalization to be introduced we revisit results of the papers [5], [7] starting from adiabatic nuclei problem (Sec.2). The rotations of a molecule are included similarly to the mentioned approach [7] but with some difference in the formalism.…”

“…In the framework of the generalization to be introduced we revisit results of the papers [5], [7] starting from adiabatic nuclei problem (Sec.2). The rotations of a molecule are included similarly to the mentioned approach [7] but with some difference in the formalism. Oscillations are described by means of the Morse potential with eigen functions -vibrational harmonics that are proportional to Laguerre polynomials (Appendix).…”

Generalized zero range potentials and multi-channel electron–molecule scattering

“…Initially this approximation was applied by Drozdov [13], Chase [14], and Oksyuk [15]. The adiabatic approximation within the framework of the ZRP model was developed by Demkov and Ostrovsky [3] and Drukarev and Yurova [4]. This approximation allows to express the electron-vibrational transition differential cross section (DCS) via the electron transition amplitude on the space-fixed matrix ZRPs:…”