Plastic Scintillator Calculation: Difference between revisions
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Molecules per <math> cm^3 = \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 = \frac{Molecules}{cm^3} * Thickness </math> | Molecules per <math> cm^2 (K) = \frac{Molecules}{cm^3} * Thickness </math> | ||
Weighted cross-section <math> (\sigma_w) = (\sigma_{elec}C + \sigma_{nucleus}C) + 2(\sigma_{elec}H + \sigma_{nucleus}H)</math> | Weighted cross-section <math> (\sigma_w) = (\sigma_{elec}C + \sigma_{nucleus}C) + 2(\sigma_{elec}H + \sigma_{nucleus}H)</math> | ||
Probability of interaction <math>= \sigma_w | Probability of interaction <math>= \sigma_w * K </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 23:49, 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 (K) = \frac{Molecules}{cm^3} * Thickness }[/math]
Weighted cross-section [math]\displaystyle{ (\sigma_w) = (\sigma_{elec}C + \sigma_{nucleus}C) + 2(\sigma_{elec}H + \sigma_{nucleus}H) }[/math]
Probability of interaction [math]\displaystyle{ = \sigma_w * K }[/math]