Originally posted by: cquark
Originally posted by: sao123
Ok so we know that electrons fill the shells to allow the atom to exist in its lowest energy (ground) state. We believe that protons and neutrons do also...
do we have any clue how this happens so far?
Do we have any clue as to the shape and size of the nuclear shells?
How does adding 3 neutrons to U 235 to make U 238, make it more stable and less useful for making a bomb? Also, does this theory explain why a certain isotope of an element follows a specific radioactive decay path and can we use it to predict other radiodecay paths?
Unfortunately, the nuclear shell model doesn't work nearly as well as the electron shell model. Nuclei are held together by a secondary effect of the strong nuclear force (the primary effect is binding quarks to form neutrons and protons.) The strong nuclear force is highly nonlinear, as unlike the electromagnetic force, which is transmitted through chargeless photons, the strong force is transmitted through gluons which do have "strong charge." In order to keep the nucleus stable, the strong nuclear force must resist the repulsive effect of the electromagnetic force on the protons.
Each nucleon (neutron or proton) added to the nucleus contributes to the binding nuclear force, but each proton added contributes to electromagnetic repulsion attempting to tear the nucleus apart. Elements later in the period table (which have higher Z=number of protons) require more neutrons to contribute to their strong binding force to maintain stability. You can find a graph of binding energy/nucleon at
http://cwx.prenhall.com/bookbind/pubboo...portfolio/text_images/CH19/FG19_06.JPG
While the strong force is stronger than the electromagnetic force, it has a very short range and the electromagnetic force has infinite range. Once the nucleus grows to a certain size, adding more neutrons doesn't increase the binding force sufficiently to maintain stability due to the short range of the strong force. Shell configurations help determine the size of the nucleus, as they reflect the Pauli Exclusion Principle preventing you from placing all of the nucleons as close together as would otherwise be possible. You can find a plot of the "belt of stability" (the region where you have enough neutrons to keep the nucleus stable) at
http://cwx.prenhall.com/bookbind/pubboo...portfolio/text_images/CH19/FG19_04.JPG