The effects of the Pauli exclusion principle are investigated regarding the calculations of the nuclear cluster radioactivity using the double-folding formalism. To this purpose, the variation in the internal kinetic energy is considered at the overlapping regions between the densities of the two interacting nuclei as a modification term by employing the extended Thomas-Fermi approach. The effects of the Pauli exclusion principle on the internal energy of the dinuclear system and the standard deviation of the calculated half-lives from their corresponding experimental data are discussed. The results reveal that considering such corrections in calculating the double folding potential leads to lower standard deviations, which are more consistent with experimental data than other semiempirical formulas.
