Difference between revisions of "Multiple scattering Angle"

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=Multiple Scattering Angle=
 
=Multiple Scattering Angle=
  
<math>\theta_{0} = \frac{13.6 MeV}{\beta cp}z{\sqrt{x/X_{0}}}*{[1+0.038ln{(x/X_{0})}}</math>
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<math>\theta_{0} = \frac{13.6 MeV}{\beta cp}z{\sqrt{x/X_{0}}}{[1+0.038ln{(x/X_{0})}]}</math>
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p = momentum of the incident particle
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<math>\beta</math>c = velocity of the incident particle
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z = charge number of the incident particle
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<math>x/X_{0}</math> = thickness of the scattering medium in radiation lengths
  
 
==1.Angle as a Function of Radiation Length==
 
==1.Angle as a Function of Radiation Length==
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Latest revision as of 16:30, 10 June 2010

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Multiple Scattering Angle

[math]\theta_{0} = \frac{13.6 MeV}{\beta cp}z{\sqrt{x/X_{0}}}{[1+0.038ln{(x/X_{0})}]}[/math]

p = momentum of the incident particle

[math]\beta[/math]c = velocity of the incident particle

z = charge number of the incident particle

[math]x/X_{0}[/math] = thickness of the scattering medium in radiation lengths

1.Angle as a Function of Radiation Length

Theta vs Radiation Length.JPG


2.Graphs of Angle vs. Radiator Thickness for various metals

Scattering Angle as a Function of Thickness

Al,Ti, W, Fe.JPGATi.JPGFeL.JPGWRL.JPG



3.Table of Radiator thickness for specific scattering angles

Radiator Thickness given specific Scattering Angles:

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Radiator 0.2 degrees 0.3 degrees 0.4 degrees 0.5 degrees 0.6 degrees
W 0.15 microns 0.3 microns 0.5 microns 0.7 microns 1 micron
Fe 0.7 microns 1.4 microns 2.5 microns 3.6 microns 5 microns
Ti 1.4 microns 2.8 microns 4.8 microns 7.2 microns 10 microns
Al 3.5 microns 7.1 microns 12 microns 18 microns 25 microns
Radiation Length 3.9 E-5 8 E-5 1.35 E-4 2 E-4 2.8 E-4