Abstarct: Calculation the energy of even-even isotopes using collective models in nuclear physics has its own complication. Therefor investigation of light nuclei is done through different models which one of them is using of a cluster model. The cluster model is a new and successful model for investigating the properties of isotopes. The cluster model can provide a good descxription of the static, electromagnetic properties and other properties of the nuclei. According to the latest findings of nuclear physicists, cluster arrangement cannot be found typically in the ground state of the nuclei. Usually clustering arrangement occurs in the ground state of the cores, and in order to make clustering the system must have enough energy to put down at the threshold of clustering. Phenomenon of clustering occurs in different forms that using this model, interaction between core and cluster can be chosen and static properties, including the eigenvalues energy and wave function can be calculated. Now by considering each of the isotopes as a cluster, we solve the Schrödinger equation and the Klein Gordon equation using the PNU method. The proposed model the many particle systems can be converted to two-particle system by considering the appropriate potential for interaction between clusters and applying non-relativistic and relativistic equations to some of the static properties including wave function, specific energy values and radius for each of even- even isotopes can be calculated and their value can be compared with experimental data.