This study proposes a novel theoretical approach to understanding the statistical mechanical similarities between nuclear fission phenomena and semiconductor physics. Using the Hill-Wheeler formula as a quantum mechanical distribution function and establishing its correspondence with the Fermi-Dirac distribution function, we analyzed nuclear fission processes for nine nuclides (232Th, 233U, 235U, 238U, 237Np, 239Pu, 240Pu, 242Pu, 241Am) using JENDL-5.0 data.