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24 | // ******************************************************************** |
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25 | // |
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26 | // $Id: G4LindhardPartition.cc,v 1.1 2009/11/05 11:42:24 vnivanch Exp $ |
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27 | // GEANT4 tag $Name: geant4-09-03-cand-01 $ |
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28 | // |
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29 | |
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30 | /* |
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31 | * G4LindhardPartition.cc |
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32 | * |
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33 | * Created by Marcus Mendenhall on 1/14/08. |
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34 | * Copyright 2008 Vanderbilt University, Nashville, TN, USA. All rights reserved. |
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35 | * |
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36 | */ |
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37 | |
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38 | #include "G4LindhardPartition.hh" |
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39 | #include "G4Material.hh" |
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40 | #include "G4Element.hh" |
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41 | |
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42 | /* |
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43 | for a first cut, we will compute NIEL from a Lindhard-Robinson partition |
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44 | based on the most abundant element in the material. |
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45 | |
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46 | this is from IEEE Trans. Nucl Science Vol. 48 No.1 February 2001 page 162++ |
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47 | Insoo Jun, "Effects of Secondary Particles on the Total Dose..." |
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48 | and, by reference, |
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49 | Lindhard, Nielsen, Scharff & Thompson, |
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50 | "Integral Equations Governing Radiation Efects...", |
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51 | Mat. Fys. Medd. Dan. Vid. Selsk. vol 33 #10, pp1-42, 1963 |
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52 | and |
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53 | Robinson, "The dependence of radiation effects on primary recoil energy", |
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54 | in Proc. Int. Conf. Radiation-Induced Voids in Metal, |
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55 | Albany, NY 1972 pp. 397-439 |
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56 | def lindhard_robinson(z1, a1, z2, a2, ke): |
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57 | el=30.724*z1*z2*math.sqrt(z1**0.6667+z2**0.6667)*(a1+a2)/a2 |
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58 | fl=0.0793*z1**0.6667*math.sqrt(z2)*(a1+a2)**1.5/ |
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59 | ((z1**0.6667+z2**0.6667)**0.75*a1**1.5*math.sqrt(a2)) |
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60 | eps=ke*(1.0/el) |
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61 | return 1.0/(1+fl*(3.4008*eps**0.16667+0.40244*eps**0.75+eps)) |
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62 | */ |
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63 | |
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64 | G4LindhardRobinsonPartition::G4LindhardRobinsonPartition() |
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65 | { |
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66 | max_z = 120; |
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67 | for(size_t i=1; i<max_z; i++) {z23[i]=std::pow((G4double)i, 2./3.);} |
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68 | } |
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69 | |
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70 | G4double G4LindhardRobinsonPartition::PartitionNIEL( |
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71 | G4int z1, G4double a1, const G4Material *material, G4double energy) const |
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72 | { |
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73 | size_t nMatElements = material->GetNumberOfElements(); |
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74 | |
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75 | const G4double *atomDensities=material->GetVecNbOfAtomsPerVolume(); |
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76 | G4double maxdens=0.0; |
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77 | size_t maxindex=0; |
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78 | for (size_t k=0 ; k < nMatElements ; k++ ) |
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79 | { |
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80 | if(atomDensities[k] > maxdens) { |
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81 | maxdens=atomDensities[k]; |
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82 | maxindex=k; |
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83 | } |
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84 | } |
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85 | const G4Element *element=material->GetElement(maxindex); |
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86 | |
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87 | G4int z2=G4int(element->GetZ()); |
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88 | |
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89 | G4double a2=element->GetA()/(Avogadro*amu); |
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90 | |
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91 | G4double zpow=z23[z1]+z23[z2]; |
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92 | G4double asum=a1+a2; |
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93 | |
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94 | G4double el=30.724*z1*z2*std::sqrt(zpow)*asum/a2; |
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95 | G4double fl=0.0793*z23[z1]*std::sqrt(z2*asum*asum*asum/(a1*a1*a1*a2))/std::pow(zpow, 0.75); |
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96 | G4double eps=(energy/eV)*(1.0/el); |
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97 | |
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98 | return 1.0/(1+fl*(3.4008*std::pow(eps, 0.16667)+0.40244*std::pow(eps, 0.75)+eps)); |
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99 | } |
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100 | |
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