In the present work, the spectra of some even-even isotopes are studied through selecting of core-cluster decomposition of the parent nucleus. The considered nuclei lie in the rare-earth and
the transition metal regions. The Schrodinger equation can be solved using Bohr-Sommerfeld relation and the modified Woods-Saxon beside Coulomb potentials to reproduce the spectra of
these isotopes with mass number (154< A< 168). The theoretical calculations of the excitation energies of the ground-state rotational band are compared to the experimental data. The cluster model calculations show a good agreement with the experimental data for the transitional and rotational nuclei more than the vibrational nuclei. Some negative parity bands of the chosen nuclei are studied. The core-cluster charge products are correlated with the transition probability
B(E2 : 2+ to 0+).