Estimating Half-Life of Alpha Decay: Nucleus ##^{252}_{98}Cf##

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SUMMARY

The discussion centers on estimating the half-life of the alpha decay of the nucleus ##^{252}_{98}Cf##, which has a known half-life of 2.6 years. The participant successfully calculated the velocity of the emitted alpha particle as ##v_\alpha = 0.058c##. However, they expressed uncertainty regarding the estimation of the half-life for the daughter nucleus ##^{248}_{96}X##. The Geiger-Nuttall law was mentioned as a potential method for this estimation, but the participant was unsure about its applicability and the necessary constants.

PREREQUISITES
  • Understanding of alpha decay and half-life concepts
  • Familiarity with the Geiger-Nuttall law
  • Knowledge of nuclear physics terminology
  • Basic skills in calculating particle velocities in nuclear reactions
NEXT STEPS
  • Research the Geiger-Nuttall law and its constants for alpha decay
  • Study the properties of the daughter nucleus ##^{248}_{96}X##
  • Explore methods for estimating half-lives of radioactive isotopes
  • Learn about the relationship between decay constants and half-lives in nuclear physics
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Students and educators in nuclear physics, particularly those studying radioactive decay processes and half-life estimations.

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Homework Statement


Nucleus ##^{252}_{98}Cf## alpha decays with half life time ##t_{1/2}=2.6## years.
What is the velocity of the alpha particle after the decay?
Estimate the half life time of the nucleus after the decay.

Homework Equations

The Attempt at a Solution


Ok, no worries about the first part. I think i understand it and I think I got it right. My result is ##v_\alpha =0.058c##.

However, I have got absolutely no idea what to do with the second part, where I am supposed to estimate the half life time of ##^{248}_{96}X##.

I was thinking about Geiger-Nutall law, but I think this wouldn't be OK, even if I could somehow determine the constants in the equation. Any ideas on how to start here?
 
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I don't know why you are writing the daughter element as ##^{248}_{96}X ##. Can't you find a periodic table and look up element 96?
 
SteamKing said:
I don't know why you are writing the daughter element as ##^{248}_{96}X ##. Can't you find a periodic table and look up element 96?
Because:
- I won't have a periodic table on the test either so I won't be able to look up for element ##96## (or any other that is not already stored in my head).
- It doesn't change anything.
 

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