HIGH-ACCURACY EXPRESSIONS FOR ROTATIONAL-VIBRATIONAL ENERGIES OF O-2,N-2, NO, AND CO MOLECULES

Application of the Hamilton-Jacoby theory and the Bohr-Sommerfeld quan tization rule to the rotating Morse oscillator yields analytical expre ssions for the rotational - vibrational energy levels of the O-2, N-2, NO, and CO molecules in electronic ground states. The expressions giv e more realistic values of the moderately and highly excited rotationa l-vibrational levels than the corresponding levels obtained from the c ommon truncated expansion solution of the Schrodinger equation for the rotating Morse oscillator.