Multiple scattering Angle: Difference between revisions
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=Multiple Scattering Angle= | =Multiple Scattering Angle= | ||
<math>theta_{0} = 13.6 MeV | <math>E_{shift} = E_{photon} \frac{1-\beta \cos(\theta_{photon}^i)}{\sqrt{1-\beta_i^2}}</math> | ||
<math>theta_{0} = \frac{13.6 MeV}{\beta*c*p}*z*{\sqrt{x/X_{0}}}*{1+0.038ln{x/X_{0}}}</math> | |||
[[Image:multiplescatteringangleequation.jpg]] | [[Image:multiplescatteringangleequation.jpg]] | ||
==1.Angle as a Function of Radiation Length== | ==1.Angle as a Function of Radiation Length== | ||
Revision as of 16:01, 4 June 2008
Multiple Scattering Angle
[math]\displaystyle{ E_{shift} = E_{photon} \frac{1-\beta \cos(\theta_{photon}^i)}{\sqrt{1-\beta_i^2}} }[/math]
[math]\displaystyle{ theta_{0} = \frac{13.6 MeV}{\beta*c*p}*z*{\sqrt{x/X_{0}}}*{1+0.038ln{x/X_{0}}} }[/math]
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:
| 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 |