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The strong nuclear force (nuclear binding energy) holds atomic nuclei together, and it must be very strong to overcome the tendency for protons to repel each other. Protons, as you'll recall, are positively charged, and like charges repel. Another issue with the strong force is that it only acts between objects made of quarks, in this case protons and neutrons. Since neutrons have no electric charge, you may add more neutrons to a nucleus (up to a point) to help hold the whole thing together. This is because the protons will be bound to the neutrons by the strong force, and protons and neutrons will not repel each other. For reasonably light elements, it's often most efficient to add one neutron for each proton, and that is why elements like carbon have 6 protons and 6 neutrons. As we move up through larger atomic numbers, the neutron-to-proton ration increase above one to one. For heavier elements like 235Uranium, we see a nucleus that has many more neutrons than protons, 143 neutrons to its 92 protons. Though the strong force can overcome the electrostatic forces within a nucleus, it has a very short range. In fact, its main work is in holding the constituent quarks of the protons and neutrons together. Only the little bit of the strong force that "leaks" out actually holds protons and neutrons together (like van der Waals force between neutral atoms). The binding energy (or nuclear glue) is termed residual strong force for this reason. Since its range is so short, approximately only able to hold a particle to its next nearest neighbors, when a nucleus gets too large, it eventually can't be held together in a stable configuration. The electrostatic repulsion of the protons will eventually overcome the total nuclear binding energy and "large" atomic nuclei won't be able remain stable. That's why we see (with the rarest exception) the lack of any stable isotopes of elements at the upper end of the periodic table. Eventually we'll see nothing but radioactive isotopes for elements, and they'll have different decay modes including spontaneous fission. The electrostatic forces win out over the nuclear binding energy in these largest nuclei and they're uniformly unstable.

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