Radioactive decay question for K --> Ca

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Discussion Overview

The discussion centers around the radioactive decay of potassium-40 (40K) into calcium-40 (40Ca), specifically exploring the possibility of altering the decay rate through external conditions such as pressure and heat. Participants also delve into the origins of 40K and its production in stellar environments, as well as the complexities involved in neutron capture processes.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant inquires whether extreme pressure or heat can shorten the decay period of 40K, suggesting that pressure might speed up decay into argon through electron capture, while heat could promote beta decay by ionizing electrons.
  • Another participant mentions the quantum Zeno and Anti-Zeno effects as potential influences on decay rates.
  • It is proposed that shooting electron beams at 40K could enhance electron capture to argon, and shooting positrons might lead to positron capture.
  • A participant questions the origin of 40K, asking if it can decay from 41Ca under certain conditions, instead of 41K through electron capture.
  • Discussion includes the production of 40K in heavy stars and the role of neutron capture involving K-39, with a participant suggesting a relationship between isotope abundances and neutron cross-sections.
  • Another participant counters that the relationship is more complex, noting the need to consider various factors such as the source of nuclei, energy-dependence of cross-sections, and neutron flux.

Areas of Agreement / Disagreement

Participants express differing views on the effects of external conditions on decay rates and the complexities of neutron capture processes. There is no consensus on the proposed relationships between isotope abundances and neutron cross-sections.

Contextual Notes

Limitations include the dependence on specific conditions for decay processes, the complexity of neutron capture dynamics, and the time-dependent nature of cross-sections.

Who May Find This Useful

This discussion may be of interest to those studying nuclear physics, astrophysics, or anyone exploring the intricacies of radioactive decay and stellar nucleosynthesis.

ProjectFringe
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As I understand 40K decays into 40Ca over a period of ##1.248(3)×10^9## yrs. Assuming this is the natural rate of decay, is there any way to shorten the period of decay (increase the rate of decay), for example, under extreme pressure or heat?

Thanks:biggrin:
 
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Not measurably.
 
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The quantum Zeno or Anti-Zeno effects?
 
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ProjectFringe said:
As I understand 40K decays into 40Ca over a period of 1.248(3)×109 yrs.
No, that´ s the total half-life.
ProjectFringe said:
Assuming this is the natural rate of decay, is there any way to shorten the period of decay (increase the rate of decay), for example, under extreme pressure or heat?

Thanks:biggrin:
Increasing pressure would speed up decay into 40Ar by electron capture, because density of electrons to be captured is affected by pressure and chemical environment. But electron emission would be less affected, and increase of pressure would slow it down as electron states are taken.
Extreme heat would promote beta decay as the electrons, especially inner electrons of K are ionized away, opening decays into bound states.
 
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Not 109, should be ##10^9##.
 
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mathman said:
Not 109, should be ##10^9##.
Fixed with in-line LaTeX. Thanks for the catch! :smile:
ProjectFringe said:
As I understand 40K decays into 40Ca over a period of ##1.248(3)×10^9## yrs.
 
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Shooting electrons beams at K-40 could speed up electron capture to argon, too.

Shooting positrons could lead to positron capture.
 
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Thanks for your replies and sorry for the mistakes! o_O

One last question related to this (I hope)...

I understand 40K can decay into 40Ca, but where does 40K come from? Is it decaying from something else?

For example, is it possible, under certain conditions, that 41Ca decays to 40K+H(or a neutron), instead of 41K through electron capture?
 
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K-40 is produced in heavy stars late in their life together with other potassium and the surrounding elements. Neutron capture of K-39 or one of the many other reactions that can happen under these conditions.
 
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  • #10
mfb said:
K-40 is produced in heavy stars late in their life together with other potassium and the surrounding elements. Neutron capture of K-39 or one of the many other reactions that can happen under these conditions.
I find that the cross sections of K isotopes for neutron capture are, from
https://www.ncnr.nist.gov/resources/n-lengths/elements/k.html
K-39 2,1 barns
K-41 1,46 barns
Does this mean that the abundances of K isotopes should relate as inverse of their neutron cross-section - about 40 % K-39 and 60 % K-41?
 
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  • #11
No, it's far more complex. You didn't consider the source of these two nuclei, you didn't consider the energy-dependence of the cross section, and you didn't consider the neutron flux. Apart from the cross section all these depend on time, too.
 
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  • #12
Thanks again everyone for your help!:biggrin:

I've been working for 8 years on creating a compound and I think I'm finally to the point where I can post the basic steps in the creation process, along with what I think could happen at each step. I'll post it soon as a separate posting to get some much needed feedback!o_O
 
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