Difference between revisions of "Calculating the differential cross-sections for the different materials, and placing them as well as the theoretical differential cross-section into a plot:"
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[[File:Combo4.png|frame|center|alt=Moller Electron Differential Cross-Section in Center of Mass Frame|'''Figure 8c:''' The Moller electron differential cross-section for 4E7 incident 11 GeV electrons in the Center of Mass frame of reference.]] | [[File:Combo4.png|frame|center|alt=Moller Electron Differential Cross-Section in Center of Mass Frame|'''Figure 8c:''' The Moller electron differential cross-section for 4E7 incident 11 GeV electrons in the Center of Mass frame of reference.]] | ||
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'''Molar Mass of target material''' | '''Molar Mass of target material''' | ||
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<math>\Longrightarrow</math>''The greater the molar mass, the smaller the solid angle into which the Moller electron will scatter.'' | <math>\Longrightarrow</math>''The greater the molar mass, the smaller the solid angle into which the Moller electron will scatter.'' | ||
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+ | Comparing this with a plot of the Moller scattering angle theta, | ||
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+ | [[File:Moller_Theta_CM_3materials.png|frame|center|alt=Moller Scattering Angle Theta in Center of Mass Frame|'''Figure 8d:''' The Moller scattering angle theta for 4E7 incident 11 GeV electrons in the Center of Mass frame of reference for 3 different target materials.]] | ||
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'''Density of target material''' | '''Density of target material''' |
Revision as of 03:27, 15 April 2016
Comparing this to the theoretical differential cross section
As shown above , we find that the differential cross section scale is
Converting the number of electrons to barns,
where ρtarget is the density of the target material, ltarget is the length of the target, and iscattered is the number of incident particles scattered.
For LH2:
For Carbon:
For Ammonia:
Combing plots in Root:
new TBrowser(); TH1F *LH2=new TH1F("LH2","LH2",360,90,180); LH2->Add(MollerThetaCM,1.19e-6); LH2->Draw(); TH1F *C12=new TH1F("C12","C12",360,90,180); C12->Add(MollerThetaCM,2.21e-7); C12->Draw(); TH1F *NH3=new TH1F("NH3","NH3",360,90,180); NH3->Add(MollerThetaCM,8.87e-7); NH3->Draw(); LH2->Draw("same"); C12->Draw("same"); Theory->Draw("same");
Molar Mass of target material
NH3=17g/mole
C=12 g/mole
LH2=2g/mole
The greater the molar mass, the smaller the solid angle into which the Moller electron will scatter.
Comparing this with a plot of the Moller scattering angle theta,
Density of target material
C=2.26 g/cm3
NH3=.86g/cm3
LH2=.07g/cm3
The greater the density, the smaller the solid angle into which the Moller electron will scatter.