# Some Specific Questions Regarding Nuclides

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Summary:
Attached is a screenshot of a page from my book (Sears & Zemansky's University Physics 14E).
My first question is about the mass distribution plot (43.11). Since fission involves two fragments, you would think that for each point there may be a corresponding point on the other side that is connected by a horizontal line. This is further reinforced by the fact that in the middle of the plot they say “Fission into two fragments with equal mass is unlikely”. However I’m not 100 percent sure about this, since there are no horizontal lines on the plot that emphasize the correspondence.

Second, since in fission we are going from a single nucleus with high A to 2 nuclei of lower A, the total binding energy per nucleon usually increases. I guess this energy comes from neutron bombardment? Or does it come from a decrease in mass? They don’t say.

Finally, a more general question. Is mass gained or lost with higher atomic number. Or is there no simple relationship between the mass difference and the nucleon number?

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Since fission involves two fragments, you would think that for each point there may be a corresponding point on the other side that is connected by a horizontal line.
Approximately, yes. You also lose a variable number of neutrons, and fission to three components is rare but possible.
Second, since in fission we are going from a single nucleus with high A to 2 nuclei of lower A, the total binding energy per nucleon usually increases. I guess this energy comes from neutron bombardment? Or does it come from a decrease in mass? They don’t say.
Binding energy has a confusing sign. A higher binding energy means the nucleus is bound tighter, i.e. has a lower energy. Increasing the binding energy releases energy.
Finally, a more general question. Is mass gained or lost with higher atomic number. Or is there no simple relationship between the mass difference and the nucleon number?
Nuclei with higher atomic number always have a larger mass, simply from having more nucleons. Fission doesn't change the total number of nucleons, so its energy balance depends on the binding energy which is small (~1%) relative to the total mass.

Nuclei with higher atomic number always have a larger mass, simply from having more nucleons. Fission doesn't change the total number of nucleons, so its energy balance depends on the binding energy which is small (~1%) relative to the total mass.

Thank you. I am just asking about how the mass of individual nucleons is greater than the mass of a nucleus with the same number of nucleons. I think that is the case. So lets call (##\Delta M_A##) the difference between A free nucleons and a nucleus of nucleon number A. Does this difference increase with increasing A, decrease, or something else?

mathman
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