Analytic representations of rovibrational dipole matrix elements for the CO molecule and its isotopomers

Abstract

We report new calculations of transition matrix elements for more than thirty thousand infrared lines of the CO molecule and its isotopomers inside the X 1+ ground electronic state. These lines belong to the v=1, 2, 3 bands involving very high excited states such as v 0 41 and J 0 133. The transition matrix elements have been calculated from an accurate solution of the Schrodinger equation by using two dierent theoretical electric dipole moment functions (Werner 1981; Langho & Bauschlicher 1995). For low lying levels, our data compare satisfactorily with experimental ones and related works (Goorvitch & Chackerian 1994a, b; Chackerian et al. 1994, Goorvitch 1994). Moreover, we make predictions for oscillator strengths and Einstein coecients involving high excited transitions. In addition, we report simple analytic formulae that t our results for 12 C 16 O with an accuracy better than 10 2 as a function of m =( J 0 ( J 0 +1 ) J 00 (J 00 +1 )) =2 for each vibrational sequence and band. They oer an easy way to compute the various intensities of these rovibrational transitions whose transition energies may be introduced via the available Dunham coecients.