Analysis of Fusion & Fission by Binding Energy

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SUMMARY

This discussion focuses on the differences between fusion and fission reactions as illustrated by binding energy (BE) graphs. In fusion, lighter nuclei combine to form heavier nuclei, resulting in a net increase in binding energy and energy release for light elements, while heavy elements require energy input. Conversely, fission involves heavier nuclei splitting into lighter ones, where energy is utilized for light elements and released for heavy elements. The conversation emphasizes the importance of understanding exothermic reactions and the stability of iron (Fe) as a central element in these processes.

PREREQUISITES
  • Understanding of nuclear fusion and fission processes
  • Familiarity with binding energy concepts
  • Knowledge of exothermic and endothermic reactions
  • Ability to interpret binding energy graphs
NEXT STEPS
  • Research the role of iron in nuclear stability and reactions
  • Study the differences between exothermic and endothermic nuclear reactions
  • Learn about the processes of nucleosynthesis in stars
  • Explore radioactive decay modes such as alpha decay, spontaneous fission, and cluster decay
USEFUL FOR

Students and educators in nuclear physics, researchers in energy production, and anyone interested in the principles of nuclear reactions and binding energy analysis.

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TL;DR
I wanted to write a student article specially for those who don't have a background in nuclear physics. I've been suggested to share my basic understanding & ask if they're correct.
I would be grateful if anyone could explain where my mistakes are:
(Please note that diagrams are designed just to give a simple imagination of the article & make it more understandable; they do NOT correspond precise information.)
#6.jpg
In fusion reactions, lighter nuclei are combined into heavier ones (atomic mass increases); so the direction is from left to right (shown on the diagram). Therefore, in the fusion of 'light elements' the total final binding energy is higher (the related arrow points upward); so ##B_2-B_1>0## and energy is released. But for the fusion of 'heavy elements', the reverse is true, so ##B_2-B_1<0## and energy is needed.
#7.jpg
In fission processes, heavier nuclei split to lighter ones (atomic mass decreases); so the direction is from right to left. Thus, in the fission of 'light elements' total final binding energy is lower (the arrow points downward); so ##B_2-B_1<0## and energy is utilized. But according to the arrow pointing up, the fission of 'heavy elements' is exothermic.
 
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At least for me, when I first looked at the top graph, my thought was "That's wrong" because I've never really seen arrows pointing the same way on a BE graph like that before. (after looking at the graphs carefully and reading your words, they look accurate to me now, but are still confusing on first glance)

More usually, I'm used to seeing the traditional single BE graph that shows how Fusion and Fission reactions differ, and shows that Fe is the very stable element in the middle of those two regions of the graph. Here is a simple version that I found quickly with Google Images:

https://aggle.blogspot.com/2011/03/fission-and-fusion.html
1566930330778.png


I'm not sure there is a lot of value in talking about "endothermic" nuclear reactions going the opposite directions on the BE graph. Trying to add that into the discussion, especially with students who have not learned a lot yet about nuclear reactions, may not have as much value as just making them familiar with the exothermic nuclear reactions.

My two cents... :smile:
 
Thanks for your reply!
This is almost the last part of my article; before which I've already analyzed BE/A curve and explained exothermic and endothermic processes and how to calculate released/utilizes energy by the difference in final and initial total binding energies (##B_2-B_1##). Then I explained simple definitions of fission and fusion.

The only 'missing' fact was that why they don't always release energy, i.e. why "light nuclei are more fusible and heavy nuclei are more fissionable".
I thought the most understandable explanation would be to elucidate the reason on the graph I've just analyzed and compare them by indicating two arrows in each diagram.

(It is essential to to explain why elements heavier than iron can't be created in star evolution nucleosynthesis or why [α, SF, CD] modes of radioactive decay can't occur in naturally occurring light nuclei.)
 

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