Atomic and Nuclear Physics
DOE-HDBK-1019/1-93
NUCLEAR FISSION
Fissionable Material
A fissionable material is composed of nuclides for which fission with neutrons is possible. All
fissile nuclides fall into this category. However, also included are those nuclides that can be
fissioned only with high energy neutrons. The change in binding energy that occurs as the result
of neutron absorption results in a nuclear excitation energy level that is less than the required
critical energy. Therefore, the additional excitation energy must be supplied by the kinetic energy
of the incident neutron. The reason for this difference between fissile and fissionable materials
is the so-called odd-even effect for nuclei. It has been observed that nuclei with even numbers
of neutrons and/or protons are more stable than those with odd numbers. Therefore, adding a
neutron to change a nucleus with an odd number of neutrons to a nucleus with an even number
of neutrons produces an appreciably higher binding energy than adding a neutron to a nucleus
already possessing an even number of neutrons. Some examples of nuclides requiring high
energy neutrons to cause fission are thorium-232, uranium-238, and plutonium-240. Table 4
indicates the critical energy (Ecrit) and the binding energy change for an added neutron (BEn) to
target nuclei of interest. For fission to be possible, the change in binding energy plus the kinetic
energy must equal or exceed the critical energy (DBE + KE > Ecrit).
TABLE 4
Critical Energies Compared to Binding Energy of Last Neutron
Target
Nucleus
Critical Energy
Ecrit
Binding Energy of
Last Neutron BEn
BEn - Ecrit
23
9
2
0
Th
7.5 MeV
5.4 MeV
-2.1 MeV
23
9
8
2
U
7.0 MeV
5.5 MeV
-1.5 MeV
23
9
5
2
U
6.5 MeV
6.8 MeV
+0.3 MeV
23
9
3
2
U
6.0 MeV
7.0 MeV
+1.0 MeV
23
9
9
4
Pu
5.0 MeV
6.6 MeV
+1.6 MeV
Uranium-235 fissions with thermal neutrons because the binding energy released by the
absorption of a neutron is greater than the critical energy for fission; therefore uranium-235 is
a fissile material. The binding energy released by uranium-238 absorbing a thermal neutron is
less than the critical energy, so additional energy must be possessed by the neutron for fission
to be possible. Consequently, uranium-238 is a fissionable material.
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