Type 1a Supernova - linking Nickel decay to luminosity

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SUMMARY

The discussion focuses on linking Nickel decay to luminosity in Type 1a Supernovae. Key elements include the decay constant, energy release per nucleus of Nickel, and the light curve decay half-life. The participant seeks to understand how to connect these variables to determine the rate of Nickel decay necessary to achieve a specific luminosity at a given time. The solution involves calculating the energy liberated from the decay of Nickel nuclei and relating it to the overall luminosity output.

PREREQUISITES
  • Understanding of nuclear decay constants
  • Familiarity with luminosity and its units (MeV or J per second)
  • Knowledge of light curve decay in supernovae
  • Basic principles of energy release in nuclear reactions
NEXT STEPS
  • Research the relationship between Nickel decay and luminosity in Type 1a Supernovae
  • Study the formula for calculating luminosity based on energy release
  • Explore the concept of light curves in astrophysics
  • Learn about the decay processes of radioactive isotopes, specifically Nickel-56
USEFUL FOR

Astronomy students, astrophysicists, and researchers studying supernova mechanics and luminosity calculations.

OscarTheDog
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Homework Statement


I have a question in my coursework where I don't know where to start. I've got Nickel decaying post the explosion, I've got a time t, I've got an energy release per nucleus of Nickel, I've got a decay constant, I've got a light curve decay half life, and I've got a luminosity at time t. So how do I link these things togehter?


Homework Equations


What rate must Nickel be decaying at to give the luminosity at time t?


The Attempt at a Solution


Not sure where to start. I have the formulae relating to numbers of nucleons of Nickel at time t=0, and time t, and imagine somehow I need to relate the energy liberated from the decay of each nucleon to the overall luminosity, but I've really tied myself in knots as to where to start
 
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Well, you might start by asking yourself, "What is luminosity?" What are its units?
 
So really that simple, how many nucleons of Nickel are burning up in MeV or J per second in order to give the luminosity? I didn't think it could be that simple, but now I've written it down with your prompt on units...
 

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