Difference between revisions of "Measurements and Calculations (Introduction to Radiochemistry)"

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(Background)
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Return to [[Introduction to Radiochemistry - Counting statistics|Main]] <br> <br>  
  
Return to [[Introduction to Radiochemistry - Counting statistics|Main]]
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Which detector did you use?
<br>
 
<br>
 
  
Which detector did you use?
 
 
==== Background  ====
 
==== Background  ====
  
Note down the values from the background counting you started the day before.<br> Counting number:<br>
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Note down the values from the background counting you started the day before.<br> Counting number:<br>  
<math>N_{bck}=\underline{\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,}\mbox{counts}</math><br> Counting time:<br>
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<math>N_{bck}=\underline{\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,}\mbox{counts}</math>
  <math>t{bck}=\underline{\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,}\mbox{sec}</math><br> Counting speed:<br>
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Counting time:<br>
<math>\frac{N_{bck}}{t_{bck}}=\underline{\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,}\mbox{cps}</math> <br> Standard deviation:<br>
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  <math>t{bck}=\underline{\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,}\mbox{sec}</math>
<math>\frac{\sqrt{N_{bck}}}{t_{bck}}=\underline{\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,}\mbox{cps}</math><br>
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Counting speed:<br>
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<math>\frac{N_{bck}}{t_{bck}}=\underline{\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,}\mbox{cps}</math>  
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Standard deviation:<br>
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<math>\frac{\sqrt{N_{bck}}}{t_{bck}}=\underline{\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,}\mbox{cps}</math>
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==== Counting Efficiency  ====
 
==== Counting Efficiency  ====
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==== Assessment of the Results  ====
 
==== Assessment of the Results  ====
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<br> <br> <br> Write down the given measurements and calculate how many&nbsp;% of the countings that are outside of the intervals &lt;N-S<sub>N</sub>,N+S<sub>N</sub> and &lt;N-2S<sub>N</sub>,N+2S<sub>N</sub>&gt;:  
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Write down the given measurements and calculate how many&nbsp;% of the countings that are outside of the intervals &lt;N-S<sub>N</sub>,N+S<sub>N</sub> and &lt;N-2S<sub>N</sub>,N+2S<sub>N</sub>&gt;:  
 
  
 
{| width="200" cellspacing="1" cellpadding="1" border="1"
 
{| width="200" cellspacing="1" cellpadding="1" border="1"

Revision as of 09:02, 3 July 2012


Return to Main

Which detector did you use?

Background

Note down the values from the background counting you started the day before.
Counting number:
[math]N_{bck}=\underline{\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,}\mbox{counts}[/math] Counting time:

[math]t{bck}=\underline{\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,}\mbox{sec}[/math]

Counting speed:
[math]\frac{N_{bck}}{t_{bck}}=\underline{\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,}\mbox{cps}[/math] Standard deviation:
[math]\frac{\sqrt{N_{bck}}}{t_{bck}}=\underline{\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,}\mbox{cps}[/math]


Counting Efficiency

Do a one minute count on every shelf. Use these measurements to calculate the counting-efficiency of the GM-detector in %, for 234mPa. The activity of the sample can be calculated from the amount of UO3 used.


Counting number for each shelf (CPM) Counting Efficency
1

2

3

4

Twenty Measurements with Constant Distance from the Source

Do twenty measurements lasting for one minute with the source in the same position. Calculate the standard deviation and complete the table:

Nr [math]N_{P}\,[/math] [math]N_{P}-\overline{N}[/math] [math]\left(N_{P}-\overline{N}\right)^{2}[/math]
1


2


3


4


5


6


7


8


9


10


11


12


13


14


15


16


17


18


19


20


SUM:
SUM:



Mean value of the counting numbers
[math]\overline{N}=\frac{\sum N_{P}}{20}=\underline{\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,}\mbox{counts}[/math]
The squere of the mean value [math]\sqrt{\overline{N}}=\underline{\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,}\mbox{counts}[/math]
Standard deviation [math]S_{N}=\sqrt{\frac{\left(N_{P}-\overline{N}\right)^{2}}{19}}=\underline{\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,}[/math]
Discuss the results from [math]S_{N}\,[/math]and [math] \sqrt{\overline{N}}[/math]?

Assessment of the Results




Write down the given measurements and calculate how many % of the countings that are outside of the intervals <N-SN,N+SN and <N-2SN,N+2SN>:

[math]\overline{N}[/math] [math]\sqrt{\overline{N}}[/math] [math]N\pm S_{N}[/math] [math]N\pm 2S_{N}[/math]









Is there, in your opinion, to many single measurements outside of the given areas? Give a answer based on statistical normal distribution.