A Mathematical Study On Nuclear Fission Chain Reaction

This paper explores the exponential growth of neutron populations during a nuclear fission chain reaction. By modeling the neutron multiplication and the corresponding energy release using geometric series, it illustrates the rapid increase in both neutrons and energy within successive reaction phases. The paper also emphasizes on the determining mass deficit with a single formula derived from einstein's mass-energy equation. It has also described some unique formulas. The idealized assumptions and practical implications of this growth are discussed.