Radioactive Decay Equations

Posted in A2 Unit 5: Radioactivity, AQA A2 Unit 5 by Mr A on 20 Jan 2010

\alpha emission

 

^{A}_{Z}X \ \rightarrow \ ^{A-4}_{Z-2}Y \ + \ ^{4}_{2}\alpha

 

\beta^{-} emission

 

^{A}_{Z}X \ \rightarrow \ ^{A}_{Z+1}Y \ + \ ^{0}_{-1}\beta \ + \ \bar{\nu_{e}}

 

\beta^{+} emission

 

^{A}_{Z}X \ \rightarrow \ ^{A}_{Z-1}Y \ + \ ^{0}_{1}\beta \ + \ \nu_{e}

 

Electron capture

 

^{A}_{Z}X \ + \ ^{0}_{-1}e \rightarrow \ ^{A}_{Z-1}Y \ + \ \nu_{e}

 

\gamma emission

 

^{A}_{Z}X \ \rightarrow \ ^{A}_{Z}X \ + \ ^{0}_{0}\gamma

 

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Radioactive Dice (Advanced)

Posted in A2 Unit 5: Radioactivity, AQA A2 Unit 5 by Mr A on 6 Jan 2010
The classical definition of probability works ...
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This experiment investigates the random nature of radioactivity by studying the nature of another random process, rolling several dice at once. After each roll a certain number is removed (based on the ‘instability’ of the atoms we are modelling). The decay pattern follows an exponential decline, given by

N = N_{0} e^{- \lambda t}

Taking logs of both sides we find:

ln|N| = ln|N_{0}| - \lambda t

This means that if we plot a graph of ln|N| against t, we should find a straight line with gradient λ.

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Radioactive Particles and their Properties

Posted in AQA GCSE P1b, P1b: Radioactivity by Mr A on 9 Nov 2009
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