Radioactive Decay chain and Masses of Products

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Discussion Overview

The discussion revolves around calculating the remaining mass of individual nuclides in a radioactive decay chain after a specified time period, considering the half-lives of the isotopes involved. Participants explore the implications of half-lives on the quantities of nuclides present at the end of the decay process.

Discussion Character

  • Exploratory, Technical explanation, Homework-related

Main Points Raised

  • One participant inquires about the calculations needed to determine the mass remaining of each nuclide in a decay chain, suggesting that the rate of formation of the final product is influenced by the nuclide with the longest half-life.
  • The same participant expresses difficulty in visualizing the remaining quantities of nuclides with shorter half-lives, presuming that they would largely decay before reaching the long-lived nuclide.
  • Another participant suggests the use of Bateman equations as a potential solution for the calculations needed.
  • A later reply confirms that Bateman equations are suitable for the participant's needs.
  • One participant shifts the focus to a programming issue related to C++, seeking assistance with a different task linked to the radioactive decay topic.

Areas of Agreement / Disagreement

Participants generally agree on the relevance of half-lives in determining the remaining quantities of nuclides, but the discussion does not resolve the specifics of the calculations or the implications of using Bateman equations.

Contextual Notes

The discussion does not clarify the assumptions underlying the calculations or the specific conditions under which the proposed methods apply. There is also a lack of detail regarding the programming problem mentioned.

Who May Find This Useful

This discussion may be useful for those interested in radioactive decay processes, calculations involving decay chains, and applications of Bateman equations, as well as individuals seeking programming assistance related to these topics.

lapo3399
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Hello,

Based on a starting isotope, isotope mass, and duration of time, what calculations would be used to find the mass remaining of each individual nuclide in the decay chain after the time period? I think that the rate at which the final product is formed depends most on the nuclide with the highest half-life, as chemical systems in chemistry are reliant on the rate determining step. However, what I find difficult to visualise is how much of the other nuclides would be left. I presume that, depending on the time interval, all the low-half-life nuclides before the first long-half-life nuclide would pretty much be gone, with certain quantities of other nuclides after the long-life nuclide being present. Can someone please elaborate on the calculations necessary?

Thanks!
 
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have you tried Bateman equations?
 
Thanks, I researched them and they are exactly what I need.
 
lapo3399 said:
Thanks, I researched them and they are exactly what I need.

great, good luck with your task! =)
 

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