Ja. Kunc et Fj. Gordillovazquez, ROTATIONAL-VIBRATIONAL LEVELS OF DIATOMIC-MOLECULES REPRESENTED BY THE TIETZ-HUA ROTATING OSCILLATOR, The journal of physical chemistry. A, Molecules, spectroscopy, kinetics, environment, & general theory, 101(8), 1997, pp. 1595-1602
Analytical expressions for the rotational-vibrational energy levels of
diatomic molecules represented by the Tietz-Hua rotating oscillator a
re derived using the Hamilton-Jacoby theory and the Bohr-Sommerfeld qu
antization rule. In molecules with moderate and large values of rotati
onal and vibrational quantum numbers, the levels are in much better ag
reement with the results of numerical calculations than the energies o
btained from the common model of the rotating Morse oscillator.