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In this work, a study of the relationship of the decay mode (alpha and beta) emission and the deformed shape of even-even nuclei in uranium -238 and thorium -232 series is presented. To achieve our purpose the quadrupole deformation parameter (β2) (which refers to the shape of nuclei) and eccentricity (e) (represented the radioactivity) have been compute for each nuclei which decay by (alpha or beta) particles emission in each series. The results of deformation parameter show that the deformation on the shape of nuclei (near from spherical shape) for nuclei which decay by beta particles emission is lower than the deformation on the shape of the nuclei which decay by alpha particles emission for two series. In addition, we shows that the effected of deformation parameter greeter than the effected of eccentricity by the type of decay (alpha & beta) emission. Finally, an empirical equation has been extracted from plotting deformation parameter as a function to eccentricity, which can be used to calculate the defamation parameter for any nuclei has eccentricity value.

In this work, the electric quadrupole moment (Qo) and deformation parameter (β2) have been studied for 38Sr isotopes which has neutron magic number (N=50). The aim of this work is to study the effect of electric quadrupole moment (charge distribution) on the deformation of the nucleus by calculating the deformation parameter depending on the value of electric quadrupole moment. Also electric quadrupole moment (Qo) and deformation parameter (β2) have been plotted as a function to neutron number to study the effect of neutron magic number (N=50) on them. The results show that the shapes of nuclei approach to spherical shape due to its charge distribution when the nuclei be closer to the neutrons magic number.