SUMMARY
The nuclear structure for even-even nuclei estimated by using interacting boson model (IBM-1). Also this program was used to determine energy levels of g- state, energy ratios and electric quadrupole transitions probability B(E2) which have been calculated. Depending on the follow up of energy ground bands (g, ß, and ?) . The dynamical symmetry and energy spectrum of selected isotope are determined by B(E2). The electric quadrupole transition probability of the (2?+-0?+) transitions for Yb (A=164) isotopes with the dynamical symmetry SU(3)- SU(5) from rotational SU(3) to vibrational SU(5). All obtained results of the study were compared with experimental facts and acceptable agreement obtained.