Difference between revisions of "2012AnnihCountrRateEstimate"
		
		
		
		
		
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|    //             and 0.5% made of  2 Cr and 3 O  Atoms/nuclei                                                                                 |    //             and 0.5% made of  2 Cr and 3 O  Atoms/nuclei                                                                                 | ||
|    //                                                                                                                                          |    //                                                                                                                                          | ||
| − |    //   Al = 99.5 * 2/5 = 39. | + |    //   Al = 99.5 * 2/5 = 39.8 %                                                                                                               | 
|    //  O = 99.5 * 3/5 = 59.7 %                                                                                                                 |    //  O = 99.5 * 3/5 = 59.7 %                                                                                                                 | ||
|    //  O = 0.5 * 3/5 = 0.3 %                                                                                                                   |    //  O = 0.5 * 3/5 = 0.3 %                                                                                                                   | ||
| Line 79: | Line 79: | ||
|    G4Material* ChroMox = new G4Material("ChroMox", density= 3.85*g/cm3, nel=3); |    G4Material* ChroMox = new G4Material("ChroMox", density= 3.85*g/cm3, nel=3); | ||
| − |    ChroMox->AddElement(Al,  | + |    ChroMox->AddElement(Al, 30.8*perCent); | 
| − |    ChroMox->AddElement(O,  | + |    ChroMox->AddElement(O, 60*perCent); | 
|    ChroMox->AddElement(Cr, 0.2*perCent); |    ChroMox->AddElement(Cr, 0.2*perCent); | ||
| Line 86: | Line 86: | ||
| ==Rates using GEANT4== | ==Rates using GEANT4== | ||
| + | |||
| + | Assume 3 MeV electron and positron beam. | ||
| ===2 mm Thick Tungsten annihilation target=== | ===2 mm Thick Tungsten annihilation target=== | ||
| Line 93: | Line 95: | ||
| :<math>\frac{\mbox{Positrons}}{\mbox{electron}} = \frac{6768}{1367} = \frac{5}{1}</math> | :<math>\frac{\mbox{Positrons}}{\mbox{electron}} = \frac{6768}{1367} = \frac{5}{1}</math> | ||
| − | Integrating between 0.5 and 0.53 MeV  | + | Integrating between 0.5 and 0.53 MeV   | 
| :<math>\frac{\mbox{Positrons}}{\mbox{electron}} = \frac{2685}{120} = \frac{22}{1}</math> | :<math>\frac{\mbox{Positrons}}{\mbox{electron}} = \frac{2685}{120} = \frac{22}{1}</math> | ||
| Line 106: | Line 108: | ||
| − | Integrating between 0.5 and 0.53 MeV  | + | Integrating between 0.5 and 0.53 MeV   | 
| :<math>\frac{\mbox{Positrons}}{\mbox{electron}} = \frac{1094}{8.4} = \frac{130}{1}</math> | :<math>\frac{\mbox{Positrons}}{\mbox{electron}} = \frac{1094}{8.4} = \frac{130}{1}</math> | ||
Latest revision as of 17:43, 2 February 2012
Rate Estimates
Previous experiment at the IAC
|  |  |   | 
| IAC apparatus for positron production experiment | Counts observed when the dipole is tuned to direct positrons onto the Ta target | Counts from electrons on Ta target | 
- HpGe observed about 1 annihilation photon per 10 microCoulombs of electrons on the upstream Tungsten target
- Ratio of annihilation photons observed when using positrons to electrons 120 to 10
| Condition | Grade Calculation | 
| Electron Beam Energy | 10 MeV | 
| Peak current | 40 mA | 
| Pulse width | 100 ns | 
| Rep Rate | 300 Hz | 
NaI rate Ratio of positron to electron beam
Assumed Geometry
Assume a 2 mm thick Tungsten target that is 1" square
The target is located at -80 < Z < -80.2
The NaI crystal is 2.32" or 56.49 mm in diameter
The NaI crystal is 8" from the target then the opening angle is atan(2.32/8/2) = 8.25 degrees
Solid Angle
Chromox target
Chromox target is 0.011" thick = 0.279 mm
File:Chromox datasheet CERN.pdf
G4 Chromox description
G4Element* Cr =
    new G4Element("Chromium", "Cr",z=24., a= 51.9961*g/mole);
  G4Element* Al =
    new G4Element("Aluminum","Al", z=13., a= 26.98154*g/mole);
  //                                                                                                                                        
  // typically the viewers are 99.5% Al_2 O_3 and 0.5% Cr_2 O_3                                                                             
  //                                                                                                                                        
  // I will construct a material that is 99.5% made of  2 Al and 3 O  Atoms/nuclei                                                          
  //             and 0.5% made of  2 Cr and 3 O  Atoms/nuclei                                                                               
  //                                                                                                                                        
  //   Al = 99.5 * 2/5 = 39.8 %                                                                                                             
  //  O = 99.5 * 3/5 = 59.7 %                                                                                                               
  //  O = 0.5 * 3/5 = 0.3 %                                                                                                                 
  //  Cr = 0.5 * 2/5 = 0.2%                                                                                                                 
  //                                                                                                                                        
  // Jlab PePPo Chromox viewer is 0.011" thick = 0.279 mm                                                                                   
  //                                                                                                                                        
  //                                                                                                                                        
  G4Material* ChroMox = new G4Material("ChroMox", density= 3.85*g/cm3, nel=3);
  ChroMox->AddElement(Al, 30.8*perCent);
  ChroMox->AddElement(O, 60*perCent);
  ChroMox->AddElement(Cr, 0.2*perCent);
Rates using GEANT4
Assume 3 MeV electron and positron beam.
2 mm Thick Tungsten annihilation target
Integrating between 0.3 and 0.7 MeV (511 peak unclear)
Integrating between 0.5 and 0.53 MeV
- Experiment at IAC had
Chromox
The photon rates predicted by GEANT4 when electrons and positrons interact with the ChroMox target and enter one of the NaI detectors having a solid angle of (0.27 strad)
Integrating between 0.5 and 0.53 MeV 

