Diverse experimental information is analyzed to show that all the $N=82\mathrm{}$ isotones with $Z=58,60,62,64,66,68,\mathrm{and} 70$ are doubly "magic" nuclei. Also, nuclei in this region are shown to exhibit identical behavior, i.e., they are similar in many ways. The implications of this discovery for the interacting boson model and other areas of physics are discussed.

[NUCLEAR STRUCTURE $Z=58\mathrm{} \mathrm{to} 70$, $N=82\mathrm{}$ isotones, stability and magicity, seniority mixing.]

• Received 24 January 1983

DOI:https://doi.org/10.1103/PhysRevC.29.1033