Multiple scattering Angle: Difference between revisions
Jump to navigation
Jump to search
No edit summary |
No edit summary |
||
| (17 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] | ||
=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]] | [[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 | ||
{| border="1" cellpadding="20" cellspacing="0" | |||
|- | |||
[[Image:Al,Ti, W, Fe.JPG | 400 px]] | [[Image:Al,Ti, W, Fe.JPG | 400 px]] | ||
|- | |||
[[Image:ATi.JPG | 400 px]] | [[Image:ATi.JPG | 400 px]] | ||
|- | |||
[[Image:FeL.JPG | 400 px]] | [[Image:FeL.JPG | 400 px]] | ||
|- | |||
[[Image:WRL.JPG | 400 px]] | [[Image:WRL.JPG | 400 px]] | ||
|}<br> | |||
---- | ---- | ||
==3.Table of Radiator thickness for specific scattering angles== | |||
Radiator Thickness given specific Scattering Angles: | Radiator Thickness given specific Scattering Angles: | ||
| Line 32: | Line 54: | ||
|- | |- | ||
|-<br> | |-<br> | ||
} | |||
[http://wiki.iac.isu.edu/index.php/HRRL Go Back] | |||
Latest revision as of 16:30, 10 June 2010
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 |