A new formula, which is derived from a deformed rotor model for describing
nuclear rotational spectra, is analyzed. The ground band of most even-even
rare-earth and actinide nuclei are accurately reproduced using a damped non
linear least-square fitting procedure for determining parameters of the the
ory. The results show that energy spectra obtained from a deformed rotor mo
del are more accurate than those from a three-parameter formula based on pe
rturbation theory.