Difference between revisions of "Multiple scattering Angle"

From New IAC Wiki
Jump to navigation Jump to search
 
(33 intermediate revisions by the same user not shown)
Line 1: Line 1:
−
Angle as a Function of Radiation Length.
+
[http://wiki.iac.isu.edu/index.php/HRRL Go Back]
−
[[Image: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
 
Scattering Angle as a Function of Thickness
−
[[Image:ATi.jpg]]
+
{| border="1" cellpadding="20" cellspacing="0"
−
[[Image:Example.jpg]]
+
|-
−
[[Image:Example.jpg]]
+
[[Image:Al,Ti, W, Fe.JPG | 400 px]]
−
[[Image:ALW.jpg]]
+
|-
 +
[[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

Go Back


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:

} 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
Retrieved from "https://wiki.iac.isu.edu/index.php?title=Multiple_scattering_Angle&oldid=32459"