Abstarct: In recent years, to study the structure of many light nuclei, the cluster model has been used using analytical methods. The purpose of this research is to investigate the energy of even-even stable isotopes with unequal numbers of neutrons and protons in the 32≤Z≤38 region using a similar method, that is, the cluster model using the NU method, its defining method, PNU, or the NUFA method for Analytical solution of non-relativistic and relativistic quantum equations. In the first step, we investigated the structure of 70,72,74,76Ge and 84,86,88Sr isotopes considering α-core configuration in non-relativistic quantum. Therefore, in addition to the potential parameters, we calculated the energy and charge radius of the nuclei. Then, we presented a relativistic model to calculate the energy of all even-even stable isotopes with unequal numbers of neutrons and protons in the 32≤Z≤38 region. This model encompasses both the α-core configuration and 14C-core configuration calculations. On the other hand, assessing nuclei as a structure consisting of identical clusters plays a considerable role in nuclear physics. Therefore, in this thesis, using a q-deformed potential, we solved the D-dimensional Schrödinger equation to study 72Ge and 84Kr in the form of 4-18O and 3-28Mg systems, and a good agreement with the experimental data was obtained.