Estimates of the Energies of the $$2_{1}^{ + }$$, $$4_{1}^{ + }$$, and $$6_{1}^{ + }$$ States of Lanthanide Nuclei

Based on the existing correlation between the deformation energy and the lowest excitation energy, estimates were made of the energies of the $$2_{1}^{ + }$$ states of lanthanide nuclei. The considered systematics of energy relations in the rotational band also made it possible to obtain estimates for the $$4_{1}^{ + }$$ and $$6_{1}^{ + }$$ states of lanthanide nuclei.