Abstract
In this paper, the energy levels of the ground state band (GSB), β-band and -bands for 170-174Os isotopes were calculated using the Interacting Boson Model(IBM-1), the Semi-Empirical Formula (SEF) by Al-Jubbori. All models were developed by IBM. In order to complete this study the above-mentioned models and equations were applied . The results of the Ground State Band, showed that IBM-1, Semi-Empirical Formal, and the available experimental data are all in agreement with certain variations this was shown by the results of the GSB. The Semi-Empirical Formal calculations have a higher level of compatibility with the experimental data when compared to the IBM-1 calculations. According to the findings of this research , the SEF equation are capable of describing the energy spectra of Os isotopes in comparison to IBM-1. The electric quadrupole transition probabilities B(E2) transitions which obtained through IBM-1 for the above isotopes were calculated and found to be in agreement with the available experimental data, On the other hand, Isotopes of Os exhibit behavior that is consistent with a gamma soft O(6) transition.