25mA, 100ns pulse width, 100cm from beam pipe, with Titanium window

Assuming [math]25\frac{mA}{pulse}[/math] and a pulse width of [math]100ns[/math]

Then [math]25\frac{mA}{pulse}=25\frac{mC}{s*pulse}=0.025\frac{C}{s*pulse}[/math]

[math]0.025\frac{C}{s*pulse}(100ns)=2.5*10^{-9}\frac{C}{pulse}[/math]

[math]2.5*10^{-9}\frac{C}{pulse}*\frac{1\ e-}{1.602*10^{-19}}=1.56055*10^{10}\frac{e-}{pulse}[/math]

OSL

[math]\frac{1}{1000}[/math] of a pulse. ~15mil e- simulated, ~15bil e- per pulse. With beam parameters given above.

Deposited Energy: [math]8088.49 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 1000 to account for only shooting a 1000th of a pulse, the deposited energy becomes [math]8088.49*10^{3} MeV[/math]

Converting to Joules for dose calculation: [math]8088.49*10^{3} MeV=1.29591891*10^{-6}J[/math]

Average dose per pulse: [math]\frac{1.29591891*10^{-6}J}{0.0234777*10^{-3}\ Kg}=0.0551979\ Gy=5.51979\ rad[/math]

Quartz

[math]\frac{1}{1000}[/math] of a pulse. ~15mil e- simulated, ~15bil e- per pulse. With beam parameters given above.

Deposited Energy: [math]5.76057*10^{6} 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 1000 to account for only shooting a 1000th of a pulse, the deposited energy becomes [math]5.76057*10^{9}MeV[/math]

Converting to Joules for dose calculation: [math]5.76057*10^{9} MeV=0.0009229450255042J[/math]

Average dose per pulse [math]\frac{0.0009229450255042\ J}{14.9296*10^{-3}\ Kg}=0.0618197\ Gy=6.18197\ rad[/math]

Plastic

[math]\frac{1}{1000}[/math] of a pulse. ~15mil e- simulated, ~15bil e- per pulse. With beam parameters given above.

Deposited Energy: [math]2.48888*10^{6} 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 1000 to account for only shooting a 1000th of a pulse, the deposited energy becomes [math]2.48888*10^{9}MeV[/math]

Converting to Joules for dose calculation: [math]2.48888*10^{9} MeV=0.0003987625209097J[/math]

Average dose per pulse [math]\frac{0.0003987625209097\ J}{6.43518*10^{-3}\ Kg}=0.061966\ Gy=6.1966\ rad[/math]

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Linac Run Plan April 2018, Dr. McNulty