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Although the proton and neutron on the atomic mass scale have
masses of "1", their exact masses differ a little and
the sum of the individual masses of particles in an atom is
greater than the measured mass of the assembled atom. For those
reasons, the atomic masses found on the periodic table which
indicate average isotopic mass adjusted for abundance in nature
cannot be determined with simple integer sums of the protons and
neutrons in a nucleus.  
This "missing" mass
is one of the first puzzles we encounter when we try to
understand nuclear processes. Understanding its significance
sheds some light on the whole question of why there is
radioactivity in the first place, i.e., why are some nuclei unstable?
On the simplest level, a
nucleus is unstable if the repulsive forces in the nucleus are
greater than the attractive forces in the nucleus. The nature of
both of these forces is different. The strong nuclear force exists between all nucleons. But
this force only acts at very small distances. The weaker electrostatic force exists among the protons with their
like charges.
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