Is there a tie between half life and energy of decay?

Click For Summary

Discussion Overview

The discussion centers on the relationship between the half-life of radioactive isotopes and the energy of their decay processes. Participants explore whether there is a correlation between the duration of half-lives and the energy released during decay, particularly focusing on alpha decay and its complexities.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant notes that radioactive isotopes exhibit varying half-lives and decay energies, questioning if there is a connection between the two.
  • Another participant suggests that there is a trend towards shorter half-lives corresponding to more energetic decays, but acknowledges that this is only one of several influencing factors.
  • A third participant expresses appreciation for the confirmation of their assumption regarding the complexity of the relationship.
  • One participant introduces the Geiger-Nuttall law as a relevant concept for alpha decay, indicating a specific mathematical relationship that describes the connection between half-life and decay energy, while noting that this relationship may not apply as straightforwardly to other decay modes.

Areas of Agreement / Disagreement

Participants generally agree that the relationship between half-life and decay energy is complex and not easily simplified. There is acknowledgment of a trend, but no consensus on a definitive connection, especially for decay modes other than alpha decay.

Contextual Notes

The discussion highlights the complexity of the relationship, with specific reference to the Geiger-Nuttall law for alpha decay, but does not resolve the broader question for other decay types. Limitations in the discussion include the dependence on definitions and the unresolved nature of mathematical relationships for different decay modes.

Subductionzon
Messages
172
Reaction score
2
As we all know radioactive isotopes have different half lives and different decay energies. Is there any tie between how long or short the half life is and the amount of energy of decay? I know that it will be a rather complex problem, especially for alpha decay where the mass of the isotope could also figure into the problem
 
Physics news on Phys.org
It is a cery complicated thing, as you say. There is a trend towards shorter half-lives for more energetic decays, but this is just one of multiple factors.
 
Thank you. That was what I assumed, but it is nice to have a "reasonable assumption" confirmed. It appears that it is too complicated to represent simply. Thank you for your response.
 
For alpha decay, it's not too bad an assumption!
https://dl.dropboxusercontent.com/u/34677838/alplot.gif

http://hyperphysics.phy-astr.gsu.edu/hbase/nuclear/alptun.html

This relationship is known as the Geiger-Nuttall law.
https://en.wikipedia.org/wiki/Geiger–Nuttall_law

##\ln \lambda = -a_1 \frac{Z}{\sqrt{E}}+a_2##

This shouldn't be too surprising considering the normal picture of alpha decay - a preformed alpha cluster rattling around in the potential of the nucleus - it has a chance to tunnel through the barrier, and that will be exponentially dependent on energy.

It'll be more complex for other decay modes.
 
Last edited by a moderator:

Similar threads

  • · Replies 20 ·
Replies
20
Views
3K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 7 ·
Replies
7
Views
1K
  • · Replies 14 ·
Replies
14
Views
3K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K