Grodzins relation for 41+ and 61+ states in A = 80, 100 and 130 region

The validity of the extended Grodzins product rule (GPR) for higher spins in the ground bands of even [Formula: see text], even [Formula: see text] nuclei of the light mass region of Cd to Zn chain of isotopes is studied. The plots of [Formula: see text]2, [Formula: see text]) versus [1/[Formula: see text]] ([Formula: see text], 6[Formula: see text] provide test of the linear relationship of the two entities. There seems to be a good correlation of the two entities at these higher spin states for most of the nuclei studied here. The deviations from linearity in specific cases are found to be useful for studying the variations in the nuclear structures involved. From these linearity plots, the structural change at higher spin in some nuclei involving subshell gaps, as reflected in the anomalous rise or saturation, leads to further insight into the under lying microscopic structure.