Plastic Scintillator Calculation: Difference between revisions

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Below is the calculations done to determine the probability of pair production depending on thickness of the scintillator.
Below is the calculations done to determine the probability of pair production depending on thickness of the scintillator.


Molecules per volume <math> = \frac{grams CH_{2}}{cm^3} * \frac{mol}{gram} * \frac{N[A]}{mol} </math>
Molecules per <math> cm^3 = \frac{grams CH_{2}}{cm^3} * \frac{mol}{gram} * \frac{N[A]}{mol} </math>
 
Molecules per <math> cm^2 </math>


Weighted cross-section <math>= (\sigma_{elec}C + \sigma_{nucleus}C) + 2(\sigma_{elec}H + \sigma_{nucleus}H)</math>  
Weighted cross-section <math>= (\sigma_{elec}C + \sigma_{nucleus}C) + 2(\sigma_{elec}H + \sigma_{nucleus}H)</math>  
(these cross sections were using the pair production cross sections converted into <math>cm^2</math>


[http://wiki.iac.isu.edu/index.php/PhotoFission_with_Polarized_Photons_from_HRRL Go Back]
[http://wiki.iac.isu.edu/index.php/PhotoFission_with_Polarized_Photons_from_HRRL Go Back]

Revision as of 23:43, 4 February 2009

Below is the calculations done to determine the probability of pair production depending on thickness of the scintillator.

Molecules per [math]\displaystyle{ cm^3 = \frac{grams CH_{2}}{cm^3} * \frac{mol}{gram} * \frac{N[A]}{mol} }[/math]

Molecules per [math]\displaystyle{ cm^2 }[/math]

Weighted cross-section [math]\displaystyle{ = (\sigma_{elec}C + \sigma_{nucleus}C) + 2(\sigma_{elec}H + \sigma_{nucleus}H) }[/math]

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