Physics HL · Chapter 24: Nuclear Fission
24.1 Fission Reactions and Energy Release
Model induced and spontaneous fission, then compute Q-values using mass differences and binding-energy changes.
Estimated time: 42 minutes
Induced Fission Versus Spontaneous Fission
In induced fission, a heavy nucleus captures a neutron and then splits into lighter nuclei plus additional neutrons. Uranium-235 is the standard example because thermal neutrons can trigger the process efficiently. Spontaneous fission can also occur in some very heavy nuclei without incoming neutrons, but power reactors depend on induced fission because it can be controlled through neutron economy.
Not every fission event yields the same daughter nuclei. There is a distribution of fission fragments, but the bookkeeping logic is always the same: nucleon number and charge are conserved, and a small mass deficit appears between reactants and products. That deficit becomes released energy.
Q-Value from Mass Defect
With masses in atomic mass units, multiplying by 931.5 converts directly to MeV.
Typical fission Q-values are roughly 170-210 MeV per event. That scale is tiny in everyday units per nucleus, but enormous once multiplied by Avogadro-scale counts of nuclei in reactor fuel. This is why mass-energy conversion in nuclei supports high power output from relatively small fuel mass compared with chemical combustion.
Why Energy Is Released: Binding-Energy-Per-Nucleon View
Fission products often lie closer to the peak of the binding-energy-per-nucleon curve than the original heavy nucleus. That means nucleons are on average more tightly bound in the products, so the final nuclear configuration has lower mass-energy. The released difference appears mostly as kinetic energy of fragments and neutrons, and eventually as thermal energy in reactor materials.
Simulation: Fission Q-Value and Mass-Defect Accounting
Switch between benchmark fission channels and inspect reactant mass, product mass, mass defect, neutron yield, and resulting per-fission energy release.
n + U-235 -> U-236* -> Ba-144 + Kr-89 + 3n
Q-value
173.1 MeV
Energy per fission
2.77e-11 J
Ideal energy per kg fuel
7.11e+4 GJ
Neutron yield
3 n/fission
Test Yourself
A fission channel has mass defect 0.186 u. Enter the released energy in MeV.
Hint: Use Q approximately equals delta m times 931.5 MeV.