DEPERTURBATION STUDIES OF AlO : INTERACTIONS IN THE A$^2\Pi\sim$ X$^2\Sigma^+$ STATES
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Date
2012
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Publisher
Ohio State University
Abstract
The rotational structure of D$^2\Sigma^+$ - A$^2\Pi$ band system of AlO molecule, at moderate high resolution, was photographed by Singh et. al}. They carried out the rotational analyses of seven bands of this system, involving vibrational levels v$^{\prime}$= 0 - 5 and v$^{\prime \prime}$= 0 - 4 for both the sub-transitions D$^{2}$$\Sigma$$^{+}$ - A$^{2}\Pi_{1/2}$ and D$^{2}\Sigma^{+}$ - A$^{2}\Pi_{3/2}$ and reported several rotational perturbations in the A$^{2}\Pi_i$ state. In this work, we present a deperturbation analysis which yields deperturbed molecular constants of the X$^{2}\Sigma^{+}$, A$^{2}\Pi_i$, and D$^{2}\Sigma^{+}$ states. The revised molecular parameters for the X$^{2}\Sigma^{+}$ and D$^{2}\Sigma^{+}$ states are first obtained from a simultaneous fit performed using previous high resolution data of the D$^{2}\Sigma^{+}$ - X$^{2}\Sigma^{+}$ system involving v$^{\prime}$=0 - 6 and v$^{\prime \prime}$= 0 - 4 vibrational levels and B$^{2}\Sigma^{+}$ - X$^{2}\Sigma^{+}$, system involving v$^{\prime}$= 0 - 11 and v$^{\prime \prime}$= 0 - 7 vibrational levels. PGOPHER program is used to simulate and fit the observed spectra . The branch frequencies involving the D$^{2}\Sigma^{+}$ - A$^{2}\Pi_{i}$ transitions from our earlier studies have been incorporated into a single Hamiltonian to obtain improved molecular constants together with the L- doubling and spin splitting coefficients for these states. Further, invoking perturbing state (X$^{2}\Sigma^{+}$) molecular parameters in this fit, deperturbation of the vibrational levels within the A$^{2}\Pi_{i}$ state of AlO up to v$^{\prime \prime}$ = 4 is obtained. A global least squares fit to all the data allows determination of A$^{2}\Pi_{i}$ state molecular constants with much improved precision. The results of this study will be presented.
Description
Author Institution: Atomic and Molecular Physics Division, Bhabha Atomic Research Centre, Trombay, Mumbai 400 085,India; High Pressure Physics Division, Bhabha Atomic Research Centre, Trombay, Mumbai 400 085, India; Department of Physics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, India