Sunday, June 14, 2015

Summer 2015: Lecture 3 Decay Kinetics

This lecture covers the fundamental equations that describe the decay of radionuclides; covered in two parts. Basic equations and their utility are presented. The implications on error from counting is provided. Equations for mixtures, equilibrium, and branching of radionuclides are covered. The use of a program to solve the Bateman equation is presented.  The program is ERC Nuclide. The use of cross sections in determining production rates are covered. Saturation in isotope production due to the decay of the daughter is described. Discussion of natural radiation and dating are given. Examples are provided using the equations under a host of conditions. These include examples for dating from 238U, 14C, and the Oklo reactor. 

21 comments:

  1. The lecture and the quiz were both good! For the pop quiz at the end, I used the uncertainty value calculated from the square root and got that 73 and 104 counts were both unlikely.

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  2. I got the same thing, however I feel as though it is still possible to see values of 73 and 104, although they are less likely to occur.

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  3. I really appreciated the derivations relating to the binomial distribution, decay statistics, average life, etc. In my introductory nuclear engineering class I remember being given τ = 1.44*t½ for the average life of a radionuclide but I thought it was an empirical equation because we did not derive the formula in class.

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    1. thank you very much. That is excellent to know. Sometime equation derivations are worthwhile.

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    2. You should've given the derivation for the Bateman equation then XD

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  4. There was a lot of information but presented in a manageable fashion. I'm especially excited to finally know what the cross section in the chart of nuclides is used for.

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    1. I try to keep each lecture under 40 minutes to make them manageable.

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  5. I enjoyed the derivations for the formulas as Shelby mentioned because it led me to a greater understanding of each concept. And again the examples really helped me in this lecture because of the greater amount of information.

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  6. The carbon-14 radioactive dating equation that you gave us was really helpful, I had never thought about it that way before!

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  7. I agree with Remy I'm definitely excited to know about the cross sections.

    POP QUIZ:
    I also obtained the answer of 73 and 104 using the uncertainty from the square root. At first I was confused but looking at the blog I realized where to start this is a great tool!

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  8. The counting lab we did seems like the other half of the radioactive dating part of the Powerpoint. Could have been cool to use a few of these concepts in the counting lab (maybe a counting/dating lab).

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    1. thanks for the comment. We will definitely look into incorporating some of the lecture into the counting laboratory.

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  9. Answers to PDF Quiz 3 posted at http://radchem.nevada.edu/classes/rfss/pdf%20quizzes.html

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  10. What is the picture of the cats on the first slide alluding to?

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    1. see Schrodinger's cat
      https://en.wikipedia.org/wiki/Schr%C3%B6dinger's_cat

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