Difference between revisions of "Neutron energy resolution in NaI detector"

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  <math> \delta E_n = -\frac{2 \sqrt{2}}{\sqrt{m} d}\ E_n^{3/2} \delta t_n </math>
 
  <math> \delta E_n = -\frac{2 \sqrt{2}}{\sqrt{m} d}\ E_n^{3/2} \delta t_n </math>
  
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[[File:Na 22 timing.jpg | 700px]]
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[[File:Na 22 timing.jpg | 500px]]
  
 
* <math> \delta t_n = 15\ ns</math>
 
* <math> \delta t_n = 15\ ns</math>
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  <math> d = 2.0\ m: \ \ \  \delta E_n = 0.21\ E_n^{3/2}\ MeV </math>
 
  <math> d = 2.0\ m: \ \ \  \delta E_n = 0.21\ E_n^{3/2}\ MeV </math>
  
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[[File:NaI energy resolution.png | 700px]]
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[[File:NaI energy resolution.png | 500px]]
  
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[[File:NaI energy resolution 4.png | 700px]]
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[[File:NaI energy resolution 4.png | 500px]]

Revision as of 04:30, 28 April 2012

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[math] E_n = \frac{m}{2}\left( \frac{d}{t_n} \right)^2 [/math]

[math] \delta E_n = -\frac{2 \sqrt{2}}{\sqrt{m} d}\ E_n^{3/2} \delta t_n [/math]

Na 22 timing.jpg

  • [math] \delta t_n = 15\ ns[/math]
  • [math] mc^2 = 938\ MeV [/math]


[math] d = 0.5\ m: \ \ \   \delta E_n = 0.83\ E_n^{3/2}\ MeV [/math]
[math] d = 1.0\ m: \ \ \   \delta E_n = 0.42\ E_n^{3/2}\ MeV [/math]
[math] d = 1.5\ m: \ \ \   \delta E_n = 0.28\ E_n^{3/2}\ MeV [/math]
[math] d = 2.0\ m: \ \ \   \delta E_n = 0.21\ E_n^{3/2}\ MeV [/math]

NaI energy resolution.png

NaI energy resolution 4.png

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