  [Background] The BE2 rates of the Sn isotopes for $N\le 64$ exhibit
enhancements 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 realistic
interaction, supplemented by Quasi and Pseudo-SU3 symmetries and Nilsson-SU3
selfconsistent calculations. [Results for $N\le 64$] Shell model calculations
with the neutron effective charge as single free parameter describe well the
BE2(2>0) and BE2(4>2) rates for $N\le 64$ in the Cd and Sn isotopes. The former
exhibit weak permanent deformation corroborating the prediction of a Pseudo-SU3
symmetry, which remains of heuristic value in the latter, where the pairing
force erodes the quadrupole dominance. Calculations in $10^7$ and
$10^{10}$-dimensional spaces exhibit almost identical patterns: A vindication
of the shell model. [Results for $N\ge 64$] Nilsson-SU3 calculations describe
BE2 patterns in [112-120]Cd and [116-118]Sn isotopes having sizable quadrupole
moment of non-rotational origin denoted as q-vibrations. No calculations are
proposed for the heavier species, for which the conventional seniority
dscription is assumed for Sn, while in Cd the quadrupole moments change sign.
[Conclusion] A radical reexamination of traditional interpretations in the
region has been shown to be necessary, in which quadrupole dominance plays a
major role. What emerges is a bumpy but coherent view.
