Test for the global validity of Grodzins product rule

The study of energy levels of the ground state bands yield important information on the collective nuclear structure. The energy of first excited state E(2⁺₁) and reduced electric quadrupole transition probabilities B(E2)↑ for transition from ground (0⁺₁) to first excited state (2⁺₁) tell us about the deformation of the nuclear core. A systematic study of the energy of the 2⁺_γ excitation was performed to examine the role of higher excitations in the determination of nuclear structure. Grodzins identified a relation between the energy E(2⁺₁) of the ground state and the γ-ray transition probabilities