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Physics · Ch 15 — Structure of Atoms and Nuclei

Nuclear Fission

15.11.1

Nuclear Fission

Nuclear fission exploits the DECREASING part of the binding-energy curve (Fig.15.6) on its heavy-nucleus side: a very heavy nucleus, with mass number around A = 230, has a lower binding energy per nucleon than nuclei of roughly half that mass. So if such a heavy nucleus were to split into two mid-mass fragments (each with A somewhere between 50 and 150), the resulting fragments would be MORE tightly bound, individually, than the original heavy nucleus was -- meaning their combined mass is LESS than the original nucleus's mass, with the difference released as kinetic energy of the fragments. This splitting process, with its accompanying release of energy, is called nuclear fission.

Uranium is the key practical fuel for fission-based energy generation. Natural uranium is overwhelmingly (more than 99%) the isotope 238U^{238}U, with less than 1% being the much more useful isotope 235U^{235}U. When 235U^{235}U absorbs a slow-moving neutron, it forms the compound nucleus 236U^{236}U, which is highly unstable and undergoes fission almost immediately, splitting in various different ways into different pairs of daughter fragments, releasing on average about 2.7 additional neutrons per fission event along with a large amount of energy (of order 200 MeV, appearing mainly as the fragments' kinetic energy, i.e. as heat). …

Misc Ex.15.12Energy released in a specific fission reaction of uranium-236

Worked out. For the fission 236^{236}U →\rightarrow 137^{137}I + 97^{97}Y + 2n, the Q-value is computed from Q=[mU−mI−mY−2mn]c2Q=[m_U-m_I-m_Y-2m_n]c^2 using the given masses (236.04557 u, 136.91787 u and 96.91827 u for U, I and Y respectively, plus twice the neutron mass), giving a mass difference of 0.19011 u and hence a released energy of about 177.09 MeV -- illustrating why a single fission event, even though it involves only a tiny mass defect in absolute terms, releases roughly a million times more energy than a typical chemical reaction, consistent with the section's opening comparison of nuclear …