Multiple scattering Angle: Difference between revisions

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Angle as a Function of Radiation Length
[http://wiki.iac.isu.edu/index.php/HRRL Go Back]
[[Image:http://iac.isu.edu/mediawiki/upload/d/d4/Theta_vs_Radiation_Length.jpg]]
 
 
=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==
[[Image:Theta vs Radiation Length.JPG |400 px]]
----
==2.Graphs of Angle vs. Radiator Thickness for various metals==
Scattering Angle as a Function of Thickness
{| border="1" cellpadding="20" cellspacing="0"
|-
[[Image:Al,Ti, W, Fe.JPG | 400 px]]
|-
[[Image:ATi.JPG | 400 px]]
|-
[[Image:FeL.JPG | 400 px]]
|-
[[Image:WRL.JPG | 400 px]]
|}<br>
----
 
==3.Table of Radiator thickness for specific scattering angles==
Radiator Thickness given specific Scattering Angles:
 
{| border="1" cellpadding="20" cellspacing="0"
|-
|'''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
|-
|-<br>
}
[http://wiki.iac.isu.edu/index.php/HRRL Go Back]

Latest revision as of 16:30, 10 June 2010

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Multiple Scattering Angle

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

z = charge number of the incident particle

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

1.Angle as a Function of Radiation Length

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

Scattering Angle as a Function of Thickness


3.Table of Radiator thickness for specific scattering angles

Radiator Thickness given specific Scattering Angles:

} Go Back
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
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