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[Background] The BE2 rates of the Sn isotopes for $N\le 64$ exhibitenhancements hitherto unexplained. The same is true for the Cd isotopes.[Purpose] Describe the electromagnetic properties of the Sn and Cd isotopes[Method] Shell model calculations with a minimally renormalized realisticinteraction, supplemented by Quasi and Pseudo-SU3 symmetries and Nilsson-SU3selfconsistent calculations. [Results for $N\le 64$] Shell model calculationswith the neutron effective charge as single free parameter describe well theBE2(2>0) and BE2(4>2) rates for $N\le 64$ in the Cd and Sn isotopes. The formerexhibit weak permanent deformation corroborating the prediction of a Pseudo-SU3symmetry, which remains of heuristic value in the latter, where the pairingforce erodes the quadrupole dominance. Calculations in $10^7$ and$10^{10}$-dimensional spaces exhibit almost identical patterns: A vindicationof the shell model. [Results for $N\ge 64$] Nilsson-SU3 calculations describeBE2 patterns in [112-120]Cd and [116-118]Sn isotopes having sizable quadrupolemoment of non-rotational origin denoted as q-vibrations. No calculations areproposed for the heavier species, for which the conventional senioritydscription is assumed for Sn, while in Cd the quadrupole moments change sign.[Conclusion] A radical reexamination of traditional interpretations in theregion has been shown to be necessary, in which quadrupole dominance plays amajor role. What emerges is a bumpy but coherent view.

Quadrupole dominance in the light Sn and in the Cd isotopes