Advances in Differential Equations and Control Processes

The Advances in Differential Equations and Control Processes is an esteemed international journal indexed in the Emerging Sources Citation Index (ESCI). It publishes original research articles related to recent developments in both theory and applications of ordinary and partial differential equations, integral equations, and control theory. The journal highlights the interdisciplinary nature of these topics, with applications in physical, biological, environmental, and health sciences, mechanics, and engineering. It also considers survey articles that identify future avenues of advancement in the field.

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THEORETICAL INVESTIGATION OF THE ELECTRONIC STRUCTURE AND SPECTRA OF ALKALINE-EARTH RARE-GAS COMPLEXES BeHe MOLECULE

Authors

  • N. Mabrouk
  • H. Berriche

Keywords:

pseudopotential, SCF calculation, BeHe neutral molecules, transition and permanent dipole moment.

DOI:

https://doi.org/10.17654/0974324322017

Abstract

We present a study of an Ab initio quantum chemistry of alkaline earth rare gas system (BeHe) molecule. Our study is based on the use of pseudopotential techniques and core polarization potentials. Our system is handled with two active valence electrons taking interest of the zero pseudopotential approach for He. We determine the potential energy curves of 24 states of ${ }^{1,3} \Sigma^{+}$, ${ }^{1,3} \Pi$   and ${ }^{1,3} \Delta$   symmetries, and their spectroscopic parameters $\left(R_e, D_e, \omega_e, \omega_e \chi_e, T_e\right.$ and $\left.B_e\right)$,   and obtain a good agreement with available works. However, many excited states for BeHe are treated for the first time. The transition and permanent dipole moments curves are determined for the $1,{ }^3 \Sigma^{+}$  states of the BeHe in a large range of R.

Received: February 2, 2022
Accepted: April 11, 2022

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Published

2022-05-06

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How to Cite

THEORETICAL INVESTIGATION OF THE ELECTRONIC STRUCTURE AND SPECTRA OF ALKALINE-EARTH RARE-GAS COMPLEXES BeHe MOLECULE. (2022). Advances in Differential Equations and Control Processes, 27, 133-147. https://doi.org/10.17654/0974324322017