In CNT, only the influence of transition/metastable states on interfacial energy is considered, neglecting the energy barrier generated by the transition states themselves. Estimated critical nucleus radii for the B↔Y phase transition via one-step and multi-step C-C pathways are 5.1 and 2.8 nm, housing approximately 11000 and 1800 ions within the nucleus. DFT calculations yield energy barriers of 68 and 31 meV per atom for one-step and multi-step transitions, resulting in total barriers of about 800 and 60 eV, respectively. These high transition barriers reaffirm the infeasibility of the B↔Y phase transition via the C-C pathway. Critical radii for amorphous nuclei with and without water are 1.1 and 1.7 nm, respectively, hosting approximately 100 and 400 ions.