Abstract

A necessary quantity for modeling the radiative transfer of the magnesium chloride ( A- X) electronic band system are the Franck-Condon factors. This report cites an effort to calculate the MgCl ( A- X) Franck-Condon factors using RKR potentials for the ground and excited states. Because of an avoided crossing occurring for v > 6 in the A 2 Π state, only the lowest seven vibrational levels are considered. A comparison of the present RKR results is made with a recent ab initio treatment of the electronic structure of the ground and excited states which show very good agreement between the two approaches. Since 24Mg 35Cl constitutes only 60% of naturally occurring MgCl, and since the vibrational constants for both the ground and excited states are not large, an examination of the impact of isotope mass upon the Franck-Condon factors was made. Although an effect was observed, the change in the Franck-Condon factors for varying isotopes was negligible for practical radiative transfer calculations. The final result, regardless of the isotope, shows that the Franck-Condon factors for the MgCl ( A- X) system reflect the strongly vertical nature of this electronic transition.

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