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.