The study presents a symmetry-based analysis of Mercury (Hg) isotopes (A = 171 - 216) according to the Alikhan structural model. The model interprets nuclear stability as a result of the balance between nuclear attractive forces and Coulomb repulsion within symmetric proton-neutron frameworks. The comparison with experimental half-lives demonstrates a strong correlation between the equatorial neutron balance, nuclear force equilibrium, and isotopic stability. The findings align with the concept of “magic numbers” while refining it through spatial symmetry and stability intervals. This work demonstrates that isotopic stability trends of Mercury can be systematically interpreted through spatial symmetry parameters rather than shell occupation alone, providing a complementary qualitative perspective to conventional nuclear models.
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