Spontaneous fission condition of the nucleus

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Discussion Overview

The discussion revolves around the conditions for spontaneous fission of even-even nuclei into odd-odd nuclei, contrasting with the established conditions for odd nuclei. Participants explore the implications of the Weizsäcker formula and the role of the "delta" term in this context, while seeking clarity on how to approach the problem mathematically.

Discussion Character

  • Exploratory, Technical explanation, Homework-related

Main Points Raised

  • One participant states that spontaneous fission of odd nuclei occurs with high probability when (Z^2)/A is greater than or equal to 45, referencing the liquid drop model.
  • Another participant questions the conditions for fission from even-even to odd-odd nuclei, noting the introduction of the "delta" term in the Weizsäcker formula, which is non-linear and proportional to A^(-3/4).
  • There is a request for assistance in solving the problem, emphasizing the need for clarity and a solution before an upcoming examination.
  • Some participants express frustration about the level of responses, suggesting a desire for more advanced input.
  • A participant offers to help if the original poster provides their working equations or expressions, indicating a focus on collaborative problem-solving.
  • Another participant reiterates the need for the exact equation to facilitate assistance, highlighting the complexity of reaching a final expression.

Areas of Agreement / Disagreement

The discussion remains unresolved, with participants expressing differing levels of understanding and frustration regarding the complexity of the problem. There is no consensus on how to approach the solution involving the "delta" term.

Contextual Notes

Participants have not fully defined the assumptions or parameters necessary for solving the problem, and there are unresolved mathematical steps related to the application of the Weizsäcker formula.

TheDestroyer
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As we know the spontaneous fission of an odd nucleus to an 2 odd nuclei happens with high probability when (Z^2)/A is greater than or equals 45

The conclusion of this is attached in pdf file with the post using the liquid drop nucleus model to explain the problem

The question is here now, What the condition Will be if the fission is from even-even to 2 nucleus odd-odd?

this is different than the previous situation because here appears the term "delta" in Weizsäcker formula of binding energy (Weizsäcker formula is attached in the pdf), which have a value when the nucleus is even-even or odd-odd... this term isn't linear and is proportional with the term A^(-3/4) where A is the atomic mass...

How can I solve this problem?

Thanks you, If what I've written isn't clear please let me know I've got examination on next sunday and need a solution for this...

thanks
 

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Very funny, Since I entered this forum I wanted to be answered for some real difficult question... but seems all members of this forum is students,

Isn't there PROFESSORS TO ANSWER ME??
 
Why don't you ask your professor? ;)

I would help you if you showed some work so I see were you are stucked. i.e you write down the equation/expression you want to solve.

Your question is "how to do a similar solution including the paring term" right?
 
Last edited:
Dear please, I wrote the part of the odd equations, and I specified that the difference for even is only when adding the "delta" term, then we'll not be able to solve for Z^2/A as I did in odd part

Thanks
 
TheDestroyer said:
Thanks you, If what I've written isn't clear please let me know I've got examination on next sunday and need a solution for this...
To get to the final expression, it takes a very long time. Why don't you provide us with the exact equation you want to solve?
 
Last edited:

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