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Spontaneous emissions between the a 3 Π, b 3 Σ - , c 3 Σ + , d 3 Π, and e 3 Σ - states of the AlO + cation.

The potential energy curves are calculated for the a3 Π, b3 Σ- , c3 Σ+ , d3 Π, and e3 Σ- states of the AlO+ cation using the valence internally contracted multireference configuration interaction approach. The transition dipole moments are computed between these states. To improve the reliability and accuracy of the potential energy curves, several corrections are included, namely, Davidson correction, core-valence correlation and scalar relativistic corrections, as well as extrapolation of the potential energies to the complete basis set limit. The rotationless radiative lifetimes of all vibrational levels are of the orders of 10-1 to 105  s for the b3 Σ- state, which are so long that the transitions generating from the b3 Σ- state are almost impossible to occur. Those are several ten to several hundred ns for the e3 Σ- state, and several μs for the c3 Σ+ and d3 Π states, which indicate that the transitions originating from the e3 Σ- , c3 Σ+ , and d3 Π states occur easily. The largest Einstein coefficient of the transitions from the b3 Σ- -a3 Π system is approximately 10-1 , suggesting that these transitions are too weak to be recorded through spectroscopy. The Einstein coefficients of many transitions from the c3 Σ+ -a3 Π, d3 Π-a3 Π, d3 Π-c3 Σ+ , and e3 Σ- -a3 Π systems are large, indicating that these transitions are able to be measured via spectroscopy. The transition properties reported in this study can be employed to detect the spectroscopy from the AlO+ cation both in outer space and in experiment.

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