Difference between revisions of "Number of electron-positron pairs/sec out of Al converte"
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<math>l = 1.0\ \mbox{m}</math> | <math>l = 1.0\ \mbox{m}</math> | ||
− | <math>N_{Al} = \frac{0.971\ \frac{g}{cm^3} \times 6.02 \cdot 10^{23}\ \frac{atoms}{mol} \times 1.0\ \mbox{m}} {22.99\ \frac{g}{mol}} = | + | <math>N_{Al} = \frac{0.971\ \frac{g}{cm^3} \times 6.02 \cdot 10^{23}\ \frac{atoms}{mol} \times 1.0\ \mbox{m}} {22.99\ \frac{g}{mol}} = 2.54 \cdot 10^{16}\ \frac{atoms}{m^2}</math> |
<math>\frac {1.12 \cdot 10^{8} \frac{\gamma}{sec} \times \sigma_{pairs} \times N_{Al}} {f} = 2.96\ \frac{pairs}{pulse} </math> | <math>\frac {1.12 \cdot 10^{8} \frac{\gamma}{sec} \times \sigma_{pairs} \times N_{Al}} {f} = 2.96\ \frac{pairs}{pulse} </math> |
Revision as of 07:36, 29 January 2011
LINAC parameters used in calculations
1) pulse width 50 ps
2) pulse current 50 A
3) repetition rate 300 Hz
4) energy 44 MeV
Number of electrons/sec on radiator
Number of photons/sec out of radiator
Alex factor is 6.85 %
Pair production rate
out of Al converter
(by varying width we can vary the yield)
through 1 m of air
Appendix
pair production cross sections in an Al target
Ref. Geant4 and Theoretical Pair Production Cross Sections for 1 MeV - 100 GeV photons in Aluminum. Vakho Makarashvili, December 18, 2007
pair production cross sections in N
Ref. Photon Cross Section, Attenuation Coefficients, and Energy Absorption Coefficients From 10 keV to 100 Gev. J.H.Hubbell. Center for Radiation Research.National Bureau of Standards. Washington, D.C. 20234