Methods to Prove Fusion Calculation on Paper

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Discussion Overview

The discussion revolves around methods to mathematically and theoretically describe nuclear fusion, particularly focusing on calculations and formulas used in the context of lighter nuclei. Participants express interest in understanding the theoretical frameworks and equations, such as the Schrödinger equation, that can be applied to fusion processes.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant inquires about all methods, theoretical or mathematical, that can describe fusion, specifically asking for calculations and formulas.
  • Another participant notes that fusion of elements heavier than iron generally absorbs energy, while lighter elements release energy, suggesting that calculations will vary based on the nuclei involved.
  • A repeated request for formulas and theories related to the fusion of lighter elements is made, with a specific mention of the Schrödinger equation as potentially useful.
  • A participant introduces the concept of fusion as a tunneling reaction, mentioning the need to consider quantum mechanics for tunneling probabilities, and references the Gamow factor in relation to fission.
  • There is a challenge regarding the term "proving fusion on paper," questioning what exactly needs to be proven, whether it is the release of energy or another aspect of fusion.
  • One participant expresses concern that the original poster may not have sufficient background knowledge on fusion, suggesting that a deeper understanding is necessary for writing a paper on the topic.
  • Another participant reiterates the need to learn more about tunneling probabilities from quantum mechanics to grasp the concept of fusion better.

Areas of Agreement / Disagreement

Participants express varying levels of understanding and knowledge about fusion, with some suggesting a need for further research and study. There is no consensus on the specific methods or formulas to be used, and the discussion remains unresolved regarding the best approach to proving fusion on paper.

Contextual Notes

Some limitations in the discussion include the lack of clarity on specific calculations or formulas, dependence on definitions of fusion, and the complexity of the subject matter that may not be fully addressed in the forum exchanges.

Deepak247
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Let's say two nuclei fuse (proton and neutron), it will do effects such as generate energy and so on...my question is,

I want to know all the methods (theoretical or mathematical) which can describe fusion, for e.g calculations, formulas used (Schrödinger equation if used)...

I don't need details of any event, just brief summary of methods to prove fusion on paper
Thanks
 
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Anything heavier then [tex]Fe[/tex] generally absorbs energy where as anything with a lower mass number releases energy, it depends on what your fusing, calculations will change.
 
Actually i want to know how to calculate fusion (let's say of lighter elements of two nuclei), I want to know the formulas, theories which we do in papaerwork to prove a fusion. I've heard Schrödinger equation is useful but not sure...please help
 
Deepak247 said:
Actually i want to know how to calculate fusion (let's say of lighter elements of two nuclei), I want to know the formulas, theories which we do in papaerwork to prove a fusion. I've heard Schrödinger equation is useful but not sure...please help

Look up Nuclear Fusion on Wikipedia and go from there. =)
 
ok...
 
Fusion is a tunneling reaction, the nuclei tunnel through the potential barrier between them, which would make it a must to take quantum mechanics into account to find tunneling probabilities. For fission the tunneling probability (and thus the probability for fission) is ruled by the Gamow factor but I'm not sure if this applies to fusion as well, but I'm guessing it would do.

You must remember that the binding energy is highest per nucleon in the nuclei around 56-Fe, therefore binding energy will always be released whenever to lighter nuclei fusion into a heavier (given that the fusion product is not heavier than 56-Fe of course).

What do you mean by "proving fusion on paper"? Do you want to prove that energy is released or what is there to "prove"?
 
Deepak247 said:
ok...

From your posts, I'm assuming you don't know that much about fusion. I'm not trying to be unhelpful or anything, but if you are going to write a paper on fusion, you need to read up on it. You cannot simply ask a forum to give you exactly what you need, as it is much more complicated and thorough than that. It is a very interesting subject to me, and I thoroughly enjoy reading about it, and I hope you will too.
 
kloptok said:
What do you mean by "proving fusion on paper"? Do you want to prove that energy is released or what is there to "prove"?


Well... you provided much of the answer to me...I need to learn more of tunneling probabilities of nuclei from quantum mechanics to understand fusion (let's say of two nuclei)...any more assistance would be appreciated

Thanks
 

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