The anharmonicity in the Z=48Cd, and Z=52Te chain of isotopes, which lie close to magic number Z=50, is analyzed from the study of the correlation of the energy levels in the ground band, and some anomalies in the various entities are pointed out. The split of the degeneracy of the phonon triplet and quintuplet is illustrated. Formation of multiple coexisting phonon multiplets, associated with higher lying excited 0+ and 2+ states, and intruder states, including 2p4h excitation, with varying deformations, in 110−118Cd is discussed. The interacting boson model (IBM) is applied for N=62,66110,114Cd. The results of a previous study of N=66 isotones in the dynamic pairing plus quadrupole model are cited for Cd and Te. The problem of collectivity as reflected in the quadrupole moments and B(E2,2+1−0+1) values is analyzed. The enigma of deformation features in spherical 120−124Te, reflected in the transition probability B(E2,0+1−2+1) is resolved. Charge dependence of E2 transitions for vibrational nuclei, in producing enhanced B(E2,0+1→2+1) strengths in Te versus Cd is illustrated.