LAUSR

In the present research, the nuclear deformation of even–even rare-earth Er–Os isotopes with N = 102 has been calculated using a new empirical equation and an interacting boson model (IBM-1). The potential energy surface, reduced transition probabilities B(E2) and energy level have been calculated for these nuclei. The properties of gamma, beta and yrast band have been also calculated and compared with the available experimental data. The results of both models have been indicated the similarity or dissimilarity with the published experimental data. We have been studied the ratio $$E_{\gamma } (I + 2) /E_{\gamma } (I)$$Eγ(I+2)/Eγ(I) versus the spin (I) to determine the character of the ground-state band. From the outcome of our investigation, it is possible to conclude that the 170Er/172Yb/174Hf/176W nuclei show a rotational SU(3) character and 178Os shows X(5) character. Results of this calculation are in good agreement with the corresponding available experimental data.