Very low probability of detection of TiH2 molecule in a cosmic object

•Energies of rotational levels of TiH2 are calculated.•Einstein A-coefficients for transitions between the levels in TiH2 are calculated.•For normal densities up to 104.5 cm−3,−3, no transitions are found to show significant brightness temperature.

In the year 1979, identification of TiH and TiO in the atmosphere of cool M-type stars has been historical, as the Titanium was first time discovered in a cosmic object. Third Titanium-bearing molecule, TiO2, also is identified in the red supergiant VY CMa. Thus, there is a natural question about the detection of TiH2 molecule, as the cosmic abundance of hydrogen is approximately 2000 times larger than that of the oxygen. The large abundance of H as compared to O may not suffice as, for example, the probability of formation of CO is much larger than that of CH. Without going into the details of Chemistry, we have discussed that the probability of detection of TiH2 in a cosmic object is very low, though it has a large electric dipole moment.