100mA, 100ns pulse width, 100cm from beam pipe, with Titanium window

Assuming [math]100\frac{mA}{pulse}[/math] and a pulse width of [math]100ns[/math]

Then [math]100\frac{mA}{pulse}=100\frac{mC}{s*pulse}=0.1\frac{C}{s*pulse}[/math]

[math]0.1\frac{C}{s*pulse}(100ns)=10*10^{-9}\frac{C}{pulse}[/math]

[math]10*10^{-9}\frac{C}{pulse}*\frac{1\ e-}{1.602*10^{-19}}=6.2422*10^{10}\frac{e-}{pulse}[/math]

OSL

[math]\frac{1}{100000}[/math] of a pulse. 624219 e- simulated, ~62bil e- per pulse. With beam parameters given above.

Deposited Energy: [math]332.987 MeV[/math]

OSL geometry: 0.501cm diameter cylinder of 0.03cm thickness with beam incident on flat face.

OSL Crystal density[math]=3.9698\frac{g}{cm^{3}}[/math]

Mass of a single OSL crystal: [math](\pi(0.2505)^{2}*(0.03))*(3.9698)=0.0234777g[/math]

Scaling deposited energy by 100000 to account for only shooting a 100000th of a pulse, the deposited energy becomes [math]33298.7*10^{3} MeV[/math]

Converting to Joules for dose calculation: [math]33298.7*10^{3} MeV=5.335039678*10^{-6}J[/math]

Average dose per pulse: [math]\frac{5.335039678*10^{-6}J}{0.0234777*10^{-3}\ Kg}=0.227239\ Gy=22.7239\ rad[/math]

Quartz

[math]\frac{1}{100000}[/math] of a pulse. 624219 e- simulated, ~62bil e- per pulse. With beam parameters given above.

Deposited Energy: [math]231633 MeV[/math]

Quartz Geometry: 1 inch diameter, 0.5 inch tall cylinder with electrons incident upon the base of the cylinder.

Quartz density[math]=2.32\frac{g}{cm^{3}}[/math]

Mass of Quartz used in simulation: [math](\pi(1.27)^{2}*(1.27))*(2.32)=14.9296g[/math]

Scaling deposited energy by 100000 to account for only shooting a 100000th of a pulse, the deposited energy becomes [math]23163300*10^{3}MeV[/math]

Converting to Joules for dose calculation: [math]23163300*10^{3} MeV=0.0037111696428064J[/math]

Average dose per pulse [math]\frac{0.0037111696428064\ J}{14.9296*10^{-3}\ Kg}=0.248577\ Gy=24.8577\ rad[/math]

Plastic

[math]\frac{1}{100000}[/math] of a pulse. 624219 e- simulated, ~62bil e- per pulse. With beam parameters given above.

Deposited Energy: [math]98595.1 MeV[/math]

Plastic Geometry: 1 inch diameter, 0.5 inch tall cylinder with electrons incident upon the base of the cylinder.

Plastic density[math]=0.94\frac{g}{cm^{3}}[/math]

Mass of Plastic used in simulation: [math](\pi(1.27)^{2}*(1.27))*(0.94)=6.43518g[/math]

Scaling deposited energy by 100000 to account for only shooting a 100000th of a pulse, the deposited energy becomes [math]9859510*10^{3}MeV[/math]

Converting to Joules for dose calculation: [math]9859510*10^{3}MeV=0.001579667586438J[/math]

Average dose per pulse [math]\frac{0.001579667586438\ J}{6.43518*10^{-3}\ Kg}=0.245474\ Gy=24.5474\ rad[/math]

---

Linac Run Plan April 2018, Dr. McNulty