This thesis presents the study in the structure of new ics. low-lying and high-spin levels of [] nucleus which became available from the recent experiment at Texas A&M University Cyclotron. We carried out an analysis based on two-band mixing model and deduced large mixing matrix element for the interaction between members of the low-lying bands. This indicates that [] nucleus is soft with respect towards possible deformation, Backbending analysis also indicates possible change in the type of the deformation and the alignment of the [] pair of nucleons. We carried out microscopic calculations of the high-spin states using the Nilsson-Strutinsky cranking model to calculate the total energy of the nucleus as a function of deformation or angular momentum. These calculations allowed us to obtain the deformation parameters of the [] which agree well with predictions from other models.
