The relation between the kinematic and dynamic moments of inertia, ${\mathit{scrJ}}^{\mathrm{}\left(1\right)\mathrm{}}$ and ${\mathit{scrJ}}^{\mathrm{}\left(2\right)\mathrm{}}$, was analyzed for the normally deformed and superdeformed rotational bands. According to the ab expression for rotational spectrum, E(I)=a[ √1+bI(I+1) -1], the ratio R= √[${\mathit{scrJ}}^{\mathrm{}\left(1\right)\mathrm{}}$${]}^3$/${\mathit{scrJ}}^{\mathrm{}\left(2\right)\mathrm{}}$ should be I independent. Extensive analyses for the normally deformed rotational bands in the rare-earth and actinide nuclei show that the R’s do remain I independent. The same relation holds well for the superdeformed bands observed in the A∼190 region, and seems also to hold for those in the A∼150 region, if spin assignments are made correctly. The I independence of R provides an additional support to the spin assignments.

• Received 23 December 1991

DOI:https://doi.org/10.1103/PhysRevC.45.2507