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

From New IAC Wiki
Jump to navigation Jump to search
 
(15 intermediate revisions by the same user not shown)
Line 4: Line 4:
 
  <math> E_n = \frac{m}{2}\left( \frac{d}{t_n} \right)^2 </math>
 
  <math> E_n = \frac{m}{2}\left( \frac{d}{t_n} \right)^2 </math>
  
−
  <math> \delta E_n = -2\ E_n \frac{\delta t_n}{t_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>
  
 +
[[File:Na 22 timing.jpg | 400px]]
  
 
* <math> \delta t_n = 15\ ns</math>
 
* <math> \delta t_n = 15\ ns</math>
Line 11: Line 12:
  
  
−
  <math> d = 0.5 m: \ \ \  \delta E_n = 0.83\ E_n^{3/2}\ MeV </math>
+
  <math> d = 0.5\ m: \ \ \  ( \delta E_n/E_n ) = 0.83\ E_n^{1/2}\ MeV </math>
 +
<math> d = 0.7\ m: \ \ \  ( \delta E_n/E_n ) = 0.59\ E_n^{1/2}\ MeV </math>
 +
<math> d = 1.0\ m: \ \ \  ( \delta E_n/E_n ) = 0.42\ E_n^{1/2}\ MeV </math>
 +
<math> d = 1.5\ m: \ \ \  ( \delta E_n/E_n ) = 0.28\ E_n^{1/2}\ MeV </math>
 +
<math> d = 2.0\ m: \ \ \  ( \delta E_n/E_n ) = 0.21\ E_n^{1/2}\ MeV </math>
  
−
<math> d = 1.0 m: \ \ \  \delta E_n = 0.42\ E_n^{3/2}\ MeV </math>
+
[[File:NaI_energy_resolut.png | 450px]]
−
 
+
[[File:NaI_energy_resolut_4.png | 450px]]
−
<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>
 

Latest revision as of 21:44, 28 April 2012

go back 


[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/E_n ) = 0.83\ E_n^{1/2}\ MeV [/math]
[math] d = 0.7\ m: \ \ \   ( \delta E_n/E_n ) = 0.59\ E_n^{1/2}\ MeV [/math]
[math] d = 1.0\ m: \ \ \   ( \delta E_n/E_n ) = 0.42\ E_n^{1/2}\ MeV [/math]
[math] d = 1.5\ m: \ \ \   ( \delta E_n/E_n ) = 0.28\ E_n^{1/2}\ MeV [/math]
[math] d = 2.0\ m: \ \ \   ( \delta E_n/E_n ) = 0.21\ E_n^{1/2}\ MeV [/math]

NaI energy resolut.png NaI energy resolut 4.png

Retrieved from "https://wiki.iac.isu.edu/index.php?title=Neutron_energy_resolution_in_NaI_detector&oldid=73846"