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Binding  Energy  Per  Nucleon  (BE/A)
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Nuclear Physics and Reactor Theory Volume 1 of 2
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Nuclear  Fission  Summary

NUCLEAR FISSION DOE-HDBK-1019/1-93 Atomic and Nuclear Physics As the atomic number and the atomic mass number increase, the repulsive electrostatic forces within  the  nucleus  increase  due  to  the  greater  number  of  protons  in  the  heavy  elements.    To overcome this  increased  repulsion, the proportion of neutrons  in the  nucleus  must increase to maintain stability.  This increase in the neutron-to-proton ratio only partially compensates for the growing proton-proton repulsive force in the heavier, naturally occurring elements.  Because the repulsive forces are increasing, less energy must be supplied, on the average, to remove a nucleon from the nucleus.  The BE/A has decreased.  The BE/A of a nucleus is an indication of its degree of stability.  Generally, the more stable nuclides have higher BE/A than the less stable ones.  The increase in the BE/A as the atomic mass number decreases from 260 to 60 is the primary reason for the energy liberation in the fission process. In addition, the increase in the BE/A as the atomic mass number increases from 1 to 60 is the reason for the energy liberation in the fusion process, which is the opposite reaction of fission. The heaviest nuclei require only a small distortion from a spherical shape (small energy addition) for the relatively large coulomb forces forcing the two halves of the nucleus apart to overcome the attractive nuclear forces holding the two halves together.   Consequently, the heaviest nuclei are easily fissionable compared to lighter nuclei. Summary The important information in this chapter is summarized on the following page. NP-01 Page 54 Rev. 0

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