It is found that the incremental alignments of superdeformed (SD) bands in
nuclei in the A similar to 150 region exhibit a simple rule of additivity.
This additivity is found to hold with good accuracy even for nuclei that di
ffer by a large number of particles. The effect of neutron and/or proton ba
nd crossings and pairing correlations on this additivity are discussed. The
additivity property of incremental alignments can be used to predict the e
nergies of transitions in previously unknown SD bands and recant experiment
al results on SD bands in Eu-147 are found to be in excellent agreement wit
h the predicted values. [S0556-2813(99)00109-0].