\begin{document}$ ^{14} {\rm{C}}$\end{document} from Ra, \begin{document}$ ^{20} {\rm{O}}$\end{document} from Th, \begin{document}$ ^{23} {\rm{F}}$\end{document} from Pa, \begin{document}$ ^{24} {\rm{Ne}}$\end{document} from U, \begin{document}$ ^{28} {\rm{Mg}}$\end{document} from Pu, and \begin{document}$ ^{34} {\rm{Si}}$\end{document} from Cm isotopes. The results demonstrate that shell effects contribute to the rate of change of the penetration probability. Notably, the influence of the neutron shell effect on this rate diminishes as the number of valence protons increases. In addition, the rate of change exhibits an overall linear increase with the quadrupole deformation parameter of the parent nucleus. Finally, the effect of odd-even staggering on laser-assisted cluster radioactivity is revealed. This research provides valuable insights for future laser-nuclear physics experiments."> Cluster radioactivity in extreme laser fields: A study for nuclear structure properties -
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