Linac Run Plan April 2018, Dr. McNulty

Absorbed Dose Information

Calculations (1)

Assuming $100\frac{mA}{pulse}$ and a pulse width of $100ns$

Then $100\frac{mA}{pulse}=100\frac{mC}{s*pulse}=0.1\frac{C}{s*pulse}$

$0.1\frac{C}{s*pulse}(100ns)=10*10^{-9}\frac{C}{pulse}$

$10*10^{-9}\frac{C}{pulse}*\frac{1\ e-}{1.602*10^{-19}}=6.2422*10^{10}\frac{e-}{pulse}$

Using a distance of 25cm for all simulations following.

OSL

$\frac{1}{1000}$ of a pulse. ~62mil e- simulated, ~62bil e- per pulse. With beam parameters given above.

Deposited Energy: $4.46596*10^{6} MeV$

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

OSL Crystal density$=3.9698\frac{g}{cm^{3}}$

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

Scaling deposited energy by 1000 to account for only shooting a 1000th of a pulse, the deposited energy becomes $4.46596*10^{9} MeV$

Converting to Joules for dose calculation: $4.46596*10^{9} MeV=7.15525*10^{-4}J$

Average dose per pulse $\frac{7.15525*10^{-4}J}{0.0234777*10^{-3}\ Kg}=30.4768\ Gy=3047.68\ rad$

Quartz

$\frac{1}{1000}$ of a pulse. ~62mil e- simulated, ~62bil e- per pulse. With beam parameters given above.

Deposited Energy: $4.71875*10^{8} MeV$

Quartz Geometry: 1 inch cylinder with electrons incident upon the base of the cylinder.

Quartz density$=2.32\frac{g}{cm^{3}}$

Mass of Quartz used in simulation: $(\pi(1.27)^{2}*(2.54))*(2.32)=29.8593g$

Scaling deposited energy by 1000 to account for only shooting a 1000th of a pulse, the deposited energy becomes $4.71875*10^{11} MeV$

Converting to Joules for dose calculation: $4.71875*10^{11} MeV=0.0756027J$

Average dose per pulse $\frac{0.0756027\ J}{29.8593*10^{-3}\ Kg}=2.53196\ Gy=253.196\ rad$

Calculations (2)

Cut current by a factor of 4. 100mA->25mA

Assuming $25\frac{mA}{pulse}$ and a pulse width of $100ns$

Then $25\frac{mA}{pulse}=25\frac{mC}{s*pulse}=0.025\frac{C}{s*pulse}$

$0.025\frac{C}{s*pulse}(100ns)=2.5*10^{-9}\frac{C}{pulse}$

$2.5*10^{-9}\frac{C}{pulse}*\frac{1\ e-}{1.602*10^{-19}}=1.56055*10^{10}\frac{e-}{pulse}$

Using a distance of 25cm for all simulations following.

OSL

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

Deposited Energy: $1.11636*10^{6} MeV$

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

OSL Crystal density$=3.9698\frac{g}{cm^{3}}$

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

Scaling deposited energy by 1000 to account for only shooting a 1000th of a pulse, the deposited energy becomes $1.11636*10^{9} MeV$

Converting to Joules for dose calculation: $1.11636*10^{9} MeV=1.78841*10^{-4}J$

Average dose per pulse $\frac{1.78841*10^{-4}J}{0.0234777*10^{-3}\ Kg}=7.61748\ Gy=761.748\ rad$

Quartz

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

Deposited Energy: $9.82027*10^{7} MeV$

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

Quartz density$=2.32\frac{g}{cm^{3}}$

Mass of Quartz used in simulation: $(\pi(1.27)^{2}*(2.54))*(2.32)=29.8593g$

Scaling deposited energy by 1000 to account for only shooting a 1000th of a pulse, the deposited energy becomes $9.82027*10^{10} MeV$

Converting to Joules for dose calculation: $9.82027*10^{10} MeV=0.0157321J$

Average dose per pulse $\frac{0.0157321\ J}{29.8593*10^{-3}\ Kg}=0.526873\ Gy=52.6873\ rad$

Calculations (3)

Changed distance from end of beam pipe from 25cm to 50cm.

Cut current by a factor of 4. 100mA->25mA

Assuming $25\frac{mA}{pulse}$ and a pulse width of $100ns$

Then $25\frac{mA}{pulse}=25\frac{mC}{s*pulse}=0.025\frac{C}{s*pulse}$

$0.025\frac{C}{s*pulse}(100ns)=2.5*10^{-9}\frac{C}{pulse}$

$2.5*10^{-9}\frac{C}{pulse}*\frac{1\ e-}{1.602*10^{-19}}=1.56055*10^{10}\frac{e-}{pulse}$

OSL

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

Deposited Energy: $9.29701*10^{5} MeV$

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

OSL Crystal density$=3.9698\frac{g}{cm^{3}}$

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

Scaling deposited energy by 1000 to account for only shooting a 1000th of a pulse, the deposited energy becomes $9.29701*10^{8} MeV$

Converting to Joules for dose calculation: $9.29701*10^{8} MeV=1.48938*10^{-4}J$

Average dose per pulse: $\frac{1.48938*10^{-4}J}{0.0234777*10^{-3}\ Kg}=6.34381\ Gy=634.381\ rad$

Quartz

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

Deposited Energy: $9.21601*10^{7} MeV$

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

Quartz density$=2.32\frac{g}{cm^{3}}$

Mass of Quartz used in simulation: $(\pi(1.27)^{2}*(2.54))*(2.32)=29.8593g$

Scaling deposited energy by 1000 to account for only shooting a 1000th of a pulse, the deposited energy becomes $9.21601*10^{10} MeV$

Converting to Joules for dose calculation: $9.21601*10^{10} MeV=---J$

Average dose per pulse $\frac{--\ J}{29.8593*10^{-3}\ Kg}=--\ Gy=--\ rad$

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Thesis