1 | // |
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2 | // ******************************************************************** |
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3 | // * License and Disclaimer * |
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15 | // * use. Please see the license in the file LICENSE and URL above * |
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23 | // * acceptance of all terms of the Geant4 Software license. * |
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24 | // ******************************************************************** |
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25 | // |
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26 | // $Id: G4BraggIonModel.cc,v 1.27 2009/11/22 18:00:23 vnivanch Exp $ |
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27 | // GEANT4 tag $Name: geant4-09-03 $ |
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28 | // |
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29 | // ------------------------------------------------------------------- |
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30 | // |
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31 | // GEANT4 Class file |
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32 | // |
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33 | // |
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34 | // File name: G4BraggIonModel |
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35 | // |
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36 | // Author: Vladimir Ivanchenko |
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37 | // |
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38 | // Creation date: 13.10.2004 |
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39 | // |
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40 | // Modifications: |
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41 | // 11-05-05 Major optimisation of internal interfaces (V.Ivantchenko) |
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42 | // 29-11-05 Do not use G4Alpha class (V.Ivantchenko) |
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43 | // 15-02-06 ComputeCrossSectionPerElectron, ComputeCrossSectionPerAtom (mma) |
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44 | // 25-04-06 Add stopping data from ASTAR (V.Ivanchenko) |
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45 | // 23-10-06 Reduce lowestKinEnergy to 0.25 keV (V.Ivanchenko) |
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46 | // 12-08-08 Added methods GetParticleCharge, GetChargeSquareRatio, |
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47 | // CorrectionsAlongStep needed for ions(V.Ivanchenko) |
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48 | // |
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49 | |
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50 | // Class Description: |
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51 | // |
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52 | // Implementation of energy loss and delta-electron production by |
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53 | // slow charged heavy particles |
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54 | |
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55 | // ------------------------------------------------------------------- |
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56 | // |
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57 | |
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58 | |
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59 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo...... |
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60 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo...... |
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61 | |
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62 | #include "G4BraggIonModel.hh" |
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63 | #include "Randomize.hh" |
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64 | #include "G4Electron.hh" |
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65 | #include "G4ParticleChangeForLoss.hh" |
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66 | #include "G4LossTableManager.hh" |
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67 | #include "G4EmCorrections.hh" |
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68 | |
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69 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo...... |
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70 | |
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71 | using namespace std; |
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72 | |
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73 | G4BraggIonModel::G4BraggIonModel(const G4ParticleDefinition* p, |
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74 | const G4String& nam) |
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75 | : G4VEmModel(nam), |
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76 | corr(0), |
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77 | particle(0), |
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78 | fParticleChange(0), |
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79 | iMolecula(0), |
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80 | isIon(false), |
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81 | isInitialised(false) |
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82 | { |
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83 | if(p) SetParticle(p); |
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84 | SetHighEnergyLimit(2.0*MeV); |
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85 | |
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86 | HeMass = 3.727417*GeV; |
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87 | rateMassHe2p = HeMass/proton_mass_c2; |
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88 | lowestKinEnergy = 1.0*keV/rateMassHe2p; |
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89 | massFactor = 1000.*amu_c2/HeMass; |
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90 | theZieglerFactor = eV*cm2*1.0e-15; |
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91 | theElectron = G4Electron::Electron(); |
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92 | } |
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93 | |
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94 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo...... |
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95 | |
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96 | G4BraggIonModel::~G4BraggIonModel() |
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97 | {} |
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98 | |
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99 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo...... |
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100 | |
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101 | G4double G4BraggIonModel::MinEnergyCut(const G4ParticleDefinition*, |
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102 | const G4MaterialCutsCouple* couple) |
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103 | { |
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104 | return couple->GetMaterial()->GetIonisation()->GetMeanExcitationEnergy(); |
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105 | } |
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106 | |
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107 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo...... |
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108 | |
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109 | void G4BraggIonModel::Initialise(const G4ParticleDefinition* p, |
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110 | const G4DataVector&) |
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111 | { |
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112 | if(p != particle) SetParticle(p); |
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113 | |
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114 | corrFactor = chargeSquare; |
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115 | |
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116 | // always false before the run |
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117 | SetDeexcitationFlag(false); |
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118 | |
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119 | if(!isInitialised) { |
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120 | isInitialised = true; |
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121 | |
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122 | G4String pname = particle->GetParticleName(); |
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123 | if(particle->GetParticleType() == "nucleus" && |
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124 | pname != "deuteron" && pname != "triton") isIon = true; |
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125 | |
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126 | corr = G4LossTableManager::Instance()->EmCorrections(); |
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127 | |
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128 | fParticleChange = GetParticleChangeForLoss(); |
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129 | } |
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130 | } |
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131 | |
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132 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo...... |
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133 | |
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134 | G4double G4BraggIonModel::GetChargeSquareRatio(const G4ParticleDefinition* p, |
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135 | const G4Material* mat, |
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136 | G4double kineticEnergy) |
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137 | { |
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138 | //G4cout << "G4BraggIonModel::GetChargeSquareRatio e= " << kineticEnergy << G4endl; |
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139 | // this method is called only for ions |
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140 | G4double q2 = corr->EffectiveChargeSquareRatio(p,mat,kineticEnergy); |
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141 | corrFactor = q2*corr->EffectiveChargeCorrection(p,mat,kineticEnergy); |
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142 | return corrFactor; |
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143 | } |
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144 | |
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145 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo...... |
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146 | |
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147 | G4double G4BraggIonModel::GetParticleCharge(const G4ParticleDefinition* p, |
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148 | const G4Material* mat, |
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149 | G4double kineticEnergy) |
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150 | { |
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151 | //G4cout << "G4BraggIonModel::GetParticleCharge e= " << kineticEnergy << G4endl; |
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152 | // this method is called only for ions |
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153 | return corr->GetParticleCharge(p,mat,kineticEnergy); |
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154 | } |
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155 | |
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156 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo...... |
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157 | |
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158 | G4double G4BraggIonModel::ComputeCrossSectionPerElectron( |
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159 | const G4ParticleDefinition* p, |
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160 | G4double kineticEnergy, |
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161 | G4double cutEnergy, |
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162 | G4double maxKinEnergy) |
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163 | { |
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164 | G4double cross = 0.0; |
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165 | G4double tmax = MaxSecondaryEnergy(p, kineticEnergy); |
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166 | G4double maxEnergy = std::min(tmax,maxKinEnergy); |
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167 | if(cutEnergy < tmax) { |
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168 | |
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169 | G4double energy = kineticEnergy + mass; |
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170 | G4double energy2 = energy*energy; |
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171 | G4double beta2 = kineticEnergy*(kineticEnergy + 2.0*mass)/energy2; |
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172 | cross = 1.0/cutEnergy - 1.0/maxEnergy - beta2*log(maxEnergy/cutEnergy)/tmax; |
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173 | |
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174 | cross *= twopi_mc2_rcl2*chargeSquare/beta2; |
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175 | } |
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176 | // G4cout << "BR: e= " << kineticEnergy << " tmin= " << cutEnergy |
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177 | // << " tmax= " << tmax << " cross= " << cross << G4endl; |
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178 | |
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179 | return cross; |
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180 | } |
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181 | |
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182 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo...... |
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183 | |
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184 | G4double G4BraggIonModel::ComputeCrossSectionPerAtom( |
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185 | const G4ParticleDefinition* p, |
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186 | G4double kineticEnergy, |
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187 | G4double Z, G4double, |
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188 | G4double cutEnergy, |
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189 | G4double maxEnergy) |
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190 | { |
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191 | G4double cross = Z*ComputeCrossSectionPerElectron |
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192 | (p,kineticEnergy,cutEnergy,maxEnergy); |
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193 | return cross; |
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194 | } |
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195 | |
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196 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo...... |
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197 | |
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198 | G4double G4BraggIonModel::CrossSectionPerVolume( |
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199 | const G4Material* material, |
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200 | const G4ParticleDefinition* p, |
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201 | G4double kineticEnergy, |
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202 | G4double cutEnergy, |
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203 | G4double maxEnergy) |
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204 | { |
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205 | G4double eDensity = material->GetElectronDensity(); |
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206 | G4double cross = eDensity*ComputeCrossSectionPerElectron |
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207 | (p,kineticEnergy,cutEnergy,maxEnergy); |
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208 | return cross; |
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209 | } |
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210 | |
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211 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo...... |
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212 | |
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213 | G4double G4BraggIonModel::ComputeDEDXPerVolume(const G4Material* material, |
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214 | const G4ParticleDefinition* p, |
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215 | G4double kineticEnergy, |
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216 | G4double cutEnergy) |
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217 | { |
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218 | G4double tmax = MaxSecondaryEnergy(p, kineticEnergy); |
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219 | G4double tmin = min(cutEnergy, tmax); |
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220 | G4double tkin = kineticEnergy/massRate; |
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221 | G4double dedx = 0.0; |
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222 | if(tkin > lowestKinEnergy) dedx = DEDX(material, tkin); |
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223 | else dedx = DEDX(material, lowestKinEnergy)*sqrt(tkin/lowestKinEnergy); |
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224 | |
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225 | if (cutEnergy < tmax) { |
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226 | |
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227 | G4double tau = kineticEnergy/mass; |
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228 | G4double gam = tau + 1.0; |
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229 | G4double bg2 = tau * (tau+2.0); |
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230 | G4double beta2 = bg2/(gam*gam); |
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231 | G4double x = tmin/tmax; |
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232 | |
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233 | dedx += (log(x) + (1.0 - x)*beta2) * twopi_mc2_rcl2 |
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234 | * (material->GetElectronDensity())/beta2; |
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235 | } |
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236 | |
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237 | // now compute the total ionization loss |
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238 | |
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239 | if (dedx < 0.0) dedx = 0.0 ; |
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240 | |
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241 | dedx *= chargeSquare; |
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242 | |
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243 | //G4cout << " tkin(MeV) = " << tkin/MeV << " dedx(MeVxcm^2/g) = " |
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244 | // << dedx*gram/(MeV*cm2*material->GetDensity()) |
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245 | // << " q2 = " << chargeSquare << G4endl; |
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246 | |
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247 | return dedx; |
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248 | } |
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249 | |
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250 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo...... |
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251 | |
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252 | void G4BraggIonModel::CorrectionsAlongStep(const G4MaterialCutsCouple* couple, |
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253 | const G4DynamicParticle* dp, |
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254 | G4double& eloss, |
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255 | G4double&, |
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256 | G4double /*length*/) |
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257 | { |
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258 | // this method is called only for ions |
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259 | const G4ParticleDefinition* p = dp->GetDefinition(); |
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260 | const G4Material* mat = couple->GetMaterial(); |
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261 | G4double preKinEnergy = dp->GetKineticEnergy(); |
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262 | G4double e = preKinEnergy - eloss*0.5; |
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263 | if(e < 0.0) e = preKinEnergy*0.5; |
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264 | |
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265 | G4double q2 = corr->EffectiveChargeSquareRatio(p,mat,e); |
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266 | GetModelOfFluctuations()->SetParticleAndCharge(p, q2); |
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267 | G4double qfactor = q2*corr->EffectiveChargeCorrection(p,mat,e)/corrFactor; |
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268 | eloss *= qfactor; |
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269 | |
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270 | //G4cout << "G4BraggIonModel::CorrectionsAlongStep e= " << e |
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271 | // << " qfactor= " << qfactor << " " << p->GetParticleName() <<G4endl; |
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272 | } |
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273 | |
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274 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo...... |
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275 | |
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276 | void G4BraggIonModel::SampleSecondaries(std::vector<G4DynamicParticle*>* vdp, |
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277 | const G4MaterialCutsCouple*, |
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278 | const G4DynamicParticle* dp, |
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279 | G4double xmin, |
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280 | G4double maxEnergy) |
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281 | { |
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282 | G4double tmax = MaxSecondaryKinEnergy(dp); |
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283 | G4double xmax = std::min(tmax, maxEnergy); |
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284 | if(xmin >= xmax) return; |
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285 | |
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286 | G4double kineticEnergy = dp->GetKineticEnergy(); |
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287 | G4double energy = kineticEnergy + mass; |
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288 | G4double energy2 = energy*energy; |
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289 | G4double beta2 = kineticEnergy*(kineticEnergy + 2.0*mass)/energy2; |
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290 | G4double grej = 1.0; |
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291 | G4double deltaKinEnergy, f; |
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292 | |
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293 | G4ThreeVector direction = dp->GetMomentumDirection(); |
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294 | |
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295 | // sampling follows ... |
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296 | do { |
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297 | G4double q = G4UniformRand(); |
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298 | deltaKinEnergy = xmin*xmax/(xmin*(1.0 - q) + xmax*q); |
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299 | |
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300 | f = 1.0 - beta2*deltaKinEnergy/tmax; |
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301 | |
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302 | if(f > grej) { |
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303 | G4cout << "G4BraggIonModel::SampleSecondary Warning! " |
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304 | << "Majorant " << grej << " < " |
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305 | << f << " for e= " << deltaKinEnergy |
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306 | << G4endl; |
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307 | } |
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308 | |
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309 | } while( grej*G4UniformRand() >= f ); |
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310 | |
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311 | G4double deltaMomentum = |
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312 | sqrt(deltaKinEnergy * (deltaKinEnergy + 2.0*electron_mass_c2)); |
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313 | G4double totMomentum = energy*sqrt(beta2); |
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314 | G4double cost = deltaKinEnergy * (energy + electron_mass_c2) / |
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315 | (deltaMomentum * totMomentum); |
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316 | if(cost > 1.0) cost = 1.0; |
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317 | G4double sint = sqrt((1.0 - cost)*(1.0 + cost)); |
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318 | |
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319 | G4double phi = twopi * G4UniformRand() ; |
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320 | |
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321 | G4ThreeVector deltaDirection(sint*cos(phi),sint*sin(phi), cost) ; |
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322 | deltaDirection.rotateUz(direction); |
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323 | |
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324 | // create G4DynamicParticle object for delta ray |
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325 | G4DynamicParticle* delta = new G4DynamicParticle(theElectron,deltaDirection, |
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326 | deltaKinEnergy); |
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327 | |
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328 | vdp->push_back(delta); |
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329 | |
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330 | // Change kinematics of primary particle |
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331 | kineticEnergy -= deltaKinEnergy; |
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332 | G4ThreeVector finalP = direction*totMomentum - deltaDirection*deltaMomentum; |
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333 | finalP = finalP.unit(); |
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334 | |
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335 | fParticleChange->SetProposedKineticEnergy(kineticEnergy); |
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336 | fParticleChange->SetProposedMomentumDirection(finalP); |
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337 | } |
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338 | |
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339 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo...... |
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340 | |
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341 | G4double G4BraggIonModel::MaxSecondaryEnergy(const G4ParticleDefinition* pd, |
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342 | G4double kinEnergy) |
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343 | { |
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344 | if(pd != particle) SetParticle(pd); |
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345 | G4double tau = kinEnergy/mass; |
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346 | G4double tmax = 2.0*electron_mass_c2*tau*(tau + 2.) / |
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347 | (1. + 2.0*(tau + 1.)*ratio + ratio*ratio); |
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348 | return tmax; |
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349 | } |
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350 | |
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351 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo...... |
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352 | |
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353 | G4bool G4BraggIonModel::HasMaterial(const G4Material* material) |
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354 | { |
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355 | const size_t numberOfMolecula = 11 ; |
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356 | SetMoleculaNumber(numberOfMolecula) ; |
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357 | G4String chFormula = material->GetChemicalFormula() ; |
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358 | |
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359 | // ICRU Report N49, 1993. Ziegler model for He. |
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360 | static G4String molName[numberOfMolecula] = { |
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361 | "CaF_2", "Cellulose_Nitrate", "LiF", "Policarbonate", |
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362 | "(C_2H_4)_N-Polyethylene", "(C_2H_4)_N-Polymethly_Methacralate", |
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363 | "Polysterene", "SiO_2", "NaI", "H_2O", |
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364 | "Graphite" } ; |
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365 | |
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366 | // Search for the material in the table |
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367 | for (size_t i=0; i<numberOfMolecula; i++) { |
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368 | if (chFormula == molName[i]) { |
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369 | SetMoleculaNumber(i) ; |
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370 | return true ; |
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371 | } |
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372 | } |
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373 | return false ; |
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374 | } |
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375 | |
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376 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo...... |
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377 | |
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378 | G4double G4BraggIonModel::StoppingPower(const G4Material* material, |
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379 | G4double kineticEnergy) |
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380 | { |
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381 | G4double ionloss = 0.0 ; |
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382 | |
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383 | if (iMolecula < 11) { |
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384 | |
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385 | // The data and the fit from: |
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386 | // ICRU Report N49, 1993. Ziegler's model for alpha |
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387 | // He energy in internal units of parametrisation formula (MeV) |
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388 | |
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389 | G4double T = kineticEnergy*rateMassHe2p/MeV ; |
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390 | |
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391 | static G4double a[11][5] = { |
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392 | {9.43672, 0.54398, 84.341, 1.3705, 57.422}, |
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393 | {67.1503, 0.41409, 404.512, 148.97, 20.99}, |
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394 | {5.11203, 0.453, 36.718, 50.6, 28.058}, |
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395 | {61.793, 0.48445, 361.537, 57.889, 50.674}, |
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396 | {7.83464, 0.49804, 160.452, 3.192, 0.71922}, |
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397 | {19.729, 0.52153, 162.341, 58.35, 25.668}, |
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398 | {26.4648, 0.50112, 188.913, 30.079, 16.509}, |
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399 | {7.8655, 0.5205, 63.96, 51.32, 67.775}, |
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400 | {8.8965, 0.5148, 339.36, 1.7205, 0.70423}, |
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401 | {2.959, 0.53255, 34.247, 60.655, 15.153}, |
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402 | {3.80133, 0.41590, 12.9966, 117.83, 242.28} }; |
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403 | |
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404 | static G4double atomicWeight[11] = { |
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405 | 101.96128, 44.0098, 16.0426, 28.0536, 42.0804, |
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406 | 104.1512, 44.665, 60.0843, 18.0152, 18.0152, 12.0}; |
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407 | |
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408 | G4int i = iMolecula; |
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409 | |
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410 | // Free electron gas model |
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411 | if ( T < 0.001 ) { |
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412 | G4double slow = a[i][0] ; |
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413 | G4double shigh = log( 1.0 + a[i][3]*1000.0 + a[i][4]*0.001 ) |
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414 | * a[i][2]*1000.0 ; |
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415 | ionloss = slow*shigh / (slow + shigh) ; |
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416 | ionloss *= sqrt(T*1000.0) ; |
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417 | |
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418 | // Main parametrisation |
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419 | } else { |
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420 | G4double slow = a[i][0] * pow((T*1000.0), a[i][1]) ; |
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421 | G4double shigh = log( 1.0 + a[i][3]/T + a[i][4]*T ) * a[i][2]/T ; |
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422 | ionloss = slow*shigh / (slow + shigh) ; |
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423 | /* |
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424 | G4cout << "## " << i << ". T= " << T << " slow= " << slow |
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425 | << " a0= " << a[i][0] << " a1= " << a[i][1] |
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426 | << " shigh= " << shigh |
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427 | << " dedx= " << ionloss << " q^2= " << HeEffChargeSquare(z, T*MeV) |
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428 | << G4endl; |
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429 | */ |
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430 | } |
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431 | if ( ionloss < 0.0) ionloss = 0.0 ; |
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432 | |
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433 | // He effective charge |
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434 | G4double aa = atomicWeight[iMolecula]; |
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435 | ionloss /= (HeEffChargeSquare(0.5*aa, T)*aa); |
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436 | |
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437 | // pure material (normally not the case for this function) |
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438 | } else if(1 == (material->GetNumberOfElements())) { |
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439 | G4double z = material->GetZ() ; |
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440 | ionloss = ElectronicStoppingPower( z, kineticEnergy ) ; |
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441 | } |
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442 | |
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443 | return ionloss; |
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444 | } |
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445 | |
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446 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo...... |
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447 | |
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448 | G4double G4BraggIonModel::ElectronicStoppingPower(G4double z, |
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449 | G4double kineticEnergy) const |
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450 | { |
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451 | G4double ionloss ; |
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452 | G4int i = G4int(z)-1 ; // index of atom |
---|
453 | if(i < 0) i = 0 ; |
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454 | if(i > 91) i = 91 ; |
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455 | |
---|
456 | // The data and the fit from: |
---|
457 | // ICRU Report 49, 1993. Ziegler's type of parametrisations. |
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458 | // Proton kinetic energy for parametrisation (keV/amu) |
---|
459 | |
---|
460 | // He energy in internal units of parametrisation formula (MeV) |
---|
461 | G4double T = kineticEnergy*rateMassHe2p/MeV ; |
---|
462 | |
---|
463 | static G4double a[92][5] = { |
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464 | {0.35485, 0.6456, 6.01525, 20.8933, 4.3515 |
---|
465 | },{ 0.58, 0.59, 6.3, 130.0, 44.07 |
---|
466 | },{ 1.42, 0.49, 12.25, 32.0, 9.161 |
---|
467 | },{ 2.206, 0.51, 15.32, 0.25, 8.995 //Be Ziegler77 |
---|
468 | // },{ 2.1895, 0.47183,7.2362, 134.30, 197.96 //Be from ICRU |
---|
469 | },{ 3.691, 0.4128, 18.48, 50.72, 9.0 |
---|
470 | },{ 3.83523, 0.42993,12.6125, 227.41, 188.97 |
---|
471 | },{ 1.9259, 0.5550, 27.15125, 26.0665, 6.2768 |
---|
472 | },{ 2.81015, 0.4759, 50.0253, 10.556, 1.0382 |
---|
473 | },{ 1.533, 0.531, 40.44, 18.41, 2.718 |
---|
474 | },{ 2.303, 0.4861, 37.01, 37.96, 5.092 |
---|
475 | // Z= 11-20 |
---|
476 | },{ 9.894, 0.3081, 23.65, 0.384, 92.93 |
---|
477 | },{ 4.3, 0.47, 34.3, 3.3, 12.74 |
---|
478 | },{ 2.5, 0.625, 45.7, 0.1, 4.359 |
---|
479 | },{ 2.1, 0.65, 49.34, 1.788, 4.133 |
---|
480 | },{ 1.729, 0.6562, 53.41, 2.405, 3.845 |
---|
481 | },{ 1.402, 0.6791, 58.98, 3.528, 3.211 |
---|
482 | },{ 1.117, 0.7044, 69.69, 3.705, 2.156 |
---|
483 | },{ 2.291, 0.6284, 73.88, 4.478, 2.066 |
---|
484 | },{ 8.554, 0.3817, 83.61, 11.84, 1.875 |
---|
485 | },{ 6.297, 0.4622, 65.39, 10.14, 5.036 |
---|
486 | // Z= 21-30 |
---|
487 | },{ 5.307, 0.4918, 61.74, 12.4, 6.665 |
---|
488 | },{ 4.71, 0.5087, 65.28, 8.806, 5.948 |
---|
489 | },{ 6.151, 0.4524, 83.0, 18.31, 2.71 |
---|
490 | },{ 6.57, 0.4322, 84.76, 15.53, 2.779 |
---|
491 | },{ 5.738, 0.4492, 84.6, 14.18, 3.101 |
---|
492 | },{ 5.013, 0.4707, 85.8, 16.55, 3.211 |
---|
493 | },{ 4.32, 0.4947, 76.14, 10.85, 5.441 |
---|
494 | },{ 4.652, 0.4571, 80.73, 22.0, 4.952 |
---|
495 | },{ 3.114, 0.5236, 76.67, 7.62, 6.385 |
---|
496 | },{ 3.114, 0.5236, 76.67, 7.62, 7.502 |
---|
497 | // Z= 31-40 |
---|
498 | },{ 3.114, 0.5236, 76.67, 7.62, 8.514 |
---|
499 | },{ 5.746, 0.4662, 79.24, 1.185, 7.993 |
---|
500 | },{ 2.792, 0.6346, 106.1, 0.2986, 2.331 |
---|
501 | },{ 4.667, 0.5095, 124.3, 2.102, 1.667 |
---|
502 | },{ 2.44, 0.6346, 105.0, 0.83, 2.851 |
---|
503 | },{ 1.413, 0.7377, 147.9, 1.466, 1.016 |
---|
504 | },{ 11.72, 0.3826, 102.8, 9.231, 4.371 |
---|
505 | },{ 7.126, 0.4804, 119.3, 5.784, 2.454 |
---|
506 | },{ 11.61, 0.3955, 146.7, 7.031, 1.423 |
---|
507 | },{ 10.99, 0.41, 163.9, 7.1, 1.052 |
---|
508 | // Z= 41-50 |
---|
509 | },{ 9.241, 0.4275, 163.1, 7.954, 1.102 |
---|
510 | },{ 9.276, 0.418, 157.1, 8.038, 1.29 |
---|
511 | },{ 3.999, 0.6152, 97.6, 1.297, 5.792 |
---|
512 | },{ 4.306, 0.5658, 97.99, 5.514, 5.754 |
---|
513 | },{ 3.615, 0.6197, 86.26, 0.333, 8.689 |
---|
514 | },{ 5.8, 0.49, 147.2, 6.903, 1.289 |
---|
515 | },{ 5.6, 0.49, 130.0, 10.0, 2.844 |
---|
516 | },{ 3.55, 0.6068, 124.7, 1.112, 3.119 |
---|
517 | },{ 3.6, 0.62, 105.8, 0.1692, 6.026 |
---|
518 | },{ 5.4, 0.53, 103.1, 3.931, 7.767 |
---|
519 | // Z= 51-60 |
---|
520 | },{ 3.97, 0.6459, 131.8, 0.2233, 2.723 |
---|
521 | },{ 3.65, 0.64, 126.8, 0.6834, 3.411 |
---|
522 | },{ 3.118, 0.6519, 164.9, 1.208, 1.51 |
---|
523 | },{ 3.949, 0.6209, 200.5, 1.878, 0.9126 |
---|
524 | },{ 14.4, 0.3923, 152.5, 8.354, 2.597 |
---|
525 | },{ 10.99, 0.4599, 138.4, 4.811, 3.726 |
---|
526 | },{ 16.6, 0.3773, 224.1, 6.28, 0.9121 |
---|
527 | },{ 10.54, 0.4533, 159.3, 4.832, 2.529 |
---|
528 | },{ 10.33, 0.4502, 162.0, 5.132, 2.444 |
---|
529 | },{ 10.15, 0.4471, 165.6, 5.378, 2.328 |
---|
530 | // Z= 61-70 |
---|
531 | },{ 9.976, 0.4439, 168.0, 5.721, 2.258 |
---|
532 | },{ 9.804, 0.4408, 176.2, 5.675, 1.997 |
---|
533 | },{ 14.22, 0.363, 228.4, 7.024, 1.016 |
---|
534 | },{ 9.952, 0.4318, 233.5, 5.065, 0.9244 |
---|
535 | },{ 9.272, 0.4345, 210.0, 4.911, 1.258 |
---|
536 | },{ 10.13, 0.4146, 225.7, 5.525, 1.055 |
---|
537 | },{ 8.949, 0.4304, 213.3, 5.071, 1.221 |
---|
538 | },{ 11.94, 0.3783, 247.2, 6.655, 0.849 |
---|
539 | },{ 8.472, 0.4405, 195.5, 4.051, 1.604 |
---|
540 | },{ 8.301, 0.4399, 203.7, 3.667, 1.459 |
---|
541 | // Z= 71-80 |
---|
542 | },{ 6.567, 0.4858, 193.0, 2.65, 1.66 |
---|
543 | },{ 5.951, 0.5016, 196.1, 2.662, 1.589 |
---|
544 | },{ 7.495, 0.4523, 251.4, 3.433, 0.8619 |
---|
545 | },{ 6.335, 0.4825, 255.1, 2.834, 0.8228 |
---|
546 | },{ 4.314, 0.5558, 214.8, 2.354, 1.263 |
---|
547 | },{ 4.02, 0.5681, 219.9, 2.402, 1.191 |
---|
548 | },{ 3.836, 0.5765, 210.2, 2.742, 1.305 |
---|
549 | },{ 4.68, 0.5247, 244.7, 2.749, 0.8962 |
---|
550 | },{ 2.892, 0.6204, 208.6, 2.415, 1.416 //Au Z77 |
---|
551 | // },{ 3.223, 0.5883, 232.7, 2.954, 1.05 //Au ICRU |
---|
552 | },{ 2.892, 0.6204, 208.6, 2.415, 1.416 |
---|
553 | // Z= 81-90 |
---|
554 | },{ 4.728, 0.5522, 217.0, 3.091, 1.386 |
---|
555 | },{ 6.18, 0.52, 170.0, 4.0, 3.224 |
---|
556 | },{ 9.0, 0.47, 198.0, 3.8, 2.032 |
---|
557 | },{ 2.324, 0.6997, 216.0, 1.599, 1.399 |
---|
558 | },{ 1.961, 0.7286, 223.0, 1.621, 1.296 |
---|
559 | },{ 1.75, 0.7427, 350.1, 0.9789, 0.5507 |
---|
560 | },{ 10.31, 0.4613, 261.2, 4.738, 0.9899 |
---|
561 | },{ 7.962, 0.519, 235.7, 4.347, 1.313 |
---|
562 | },{ 6.227, 0.5645, 231.9, 3.961, 1.379 |
---|
563 | },{ 5.246, 0.5947, 228.6, 4.027, 1.432 |
---|
564 | // Z= 91-92 |
---|
565 | },{ 5.408, 0.5811, 235.7, 3.961, 1.358 |
---|
566 | },{ 5.218, 0.5828, 245.0, 3.838, 1.25} |
---|
567 | }; |
---|
568 | |
---|
569 | // Free electron gas model |
---|
570 | if ( T < 0.001 ) { |
---|
571 | G4double slow = a[i][0] ; |
---|
572 | G4double shigh = log( 1.0 + a[i][3]*1000.0 + a[i][4]*0.001 ) |
---|
573 | * a[i][2]*1000.0 ; |
---|
574 | ionloss = slow*shigh / (slow + shigh) ; |
---|
575 | ionloss *= sqrt(T*1000.0) ; |
---|
576 | |
---|
577 | // Main parametrisation |
---|
578 | } else { |
---|
579 | G4double slow = a[i][0] * pow((T*1000.0), a[i][1]) ; |
---|
580 | G4double shigh = log( 1.0 + a[i][3]/T + a[i][4]*T ) * a[i][2]/T ; |
---|
581 | ionloss = slow*shigh / (slow + shigh) ; |
---|
582 | /* |
---|
583 | G4cout << "## " << i << ". T= " << T << " slow= " << slow |
---|
584 | << " a0= " << a[i][0] << " a1= " << a[i][1] |
---|
585 | << " shigh= " << shigh |
---|
586 | << " dedx= " << ionloss << " q^2= " << HeEffChargeSquare(z, T*MeV) |
---|
587 | << G4endl; |
---|
588 | */ |
---|
589 | } |
---|
590 | if ( ionloss < 0.0) ionloss = 0.0 ; |
---|
591 | |
---|
592 | // He effective charge |
---|
593 | ionloss /= HeEffChargeSquare(z, T); |
---|
594 | |
---|
595 | return ionloss; |
---|
596 | } |
---|
597 | |
---|
598 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo...... |
---|
599 | |
---|
600 | G4double G4BraggIonModel::DEDX(const G4Material* material, |
---|
601 | G4double kineticEnergy) |
---|
602 | { |
---|
603 | G4double eloss = 0.0; |
---|
604 | const G4int numberOfElements = material->GetNumberOfElements(); |
---|
605 | const G4double* theAtomicNumDensityVector = |
---|
606 | material->GetAtomicNumDensityVector(); |
---|
607 | |
---|
608 | // compaund material with parametrisation |
---|
609 | G4int iNist = astar.GetIndex(material); |
---|
610 | |
---|
611 | if( iNist >= 0 ) { |
---|
612 | G4double T = kineticEnergy*rateMassHe2p; |
---|
613 | return astar.GetElectronicDEDX(iNist, T)*material->GetDensity()/ |
---|
614 | HeEffChargeSquare(astar.GetEffectiveZ(iNist), T/MeV); |
---|
615 | |
---|
616 | } else if( HasMaterial(material) ) { |
---|
617 | |
---|
618 | eloss = StoppingPower(material, kineticEnergy)* |
---|
619 | material->GetDensity()/amu; |
---|
620 | |
---|
621 | // pure material |
---|
622 | } else if(1 == numberOfElements) { |
---|
623 | |
---|
624 | G4double z = material->GetZ(); |
---|
625 | eloss = ElectronicStoppingPower(z, kineticEnergy) |
---|
626 | * (material->GetTotNbOfAtomsPerVolume()); |
---|
627 | |
---|
628 | // Brugg's rule calculation |
---|
629 | } else { |
---|
630 | const G4ElementVector* theElementVector = |
---|
631 | material->GetElementVector() ; |
---|
632 | |
---|
633 | // loop for the elements in the material |
---|
634 | for (G4int i=0; i<numberOfElements; i++) |
---|
635 | { |
---|
636 | const G4Element* element = (*theElementVector)[i] ; |
---|
637 | eloss += ElectronicStoppingPower(element->GetZ(), kineticEnergy) |
---|
638 | * theAtomicNumDensityVector[i]; |
---|
639 | } |
---|
640 | } |
---|
641 | return eloss*theZieglerFactor; |
---|
642 | } |
---|
643 | |
---|
644 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo...... |
---|
645 | |
---|
646 | G4double G4BraggIonModel::HeEffChargeSquare(G4double z, |
---|
647 | G4double kinEnergyHeInMeV) const |
---|
648 | { |
---|
649 | // The aproximation of He effective charge from: |
---|
650 | // J.F.Ziegler, J.P. Biersack, U. Littmark |
---|
651 | // The Stopping and Range of Ions in Matter, |
---|
652 | // Vol.1, Pergamon Press, 1985 |
---|
653 | |
---|
654 | static G4double c[6] = {0.2865, 0.1266, -0.001429, |
---|
655 | 0.02402,-0.01135, 0.001475}; |
---|
656 | |
---|
657 | G4double e = std::max(0.0,std::log(kinEnergyHeInMeV*massFactor)); |
---|
658 | G4double x = c[0] ; |
---|
659 | G4double y = 1.0 ; |
---|
660 | for (G4int i=1; i<6; i++) { |
---|
661 | y *= e ; |
---|
662 | x += y * c[i] ; |
---|
663 | } |
---|
664 | |
---|
665 | G4double w = 7.6 - e ; |
---|
666 | w = 1.0 + (0.007 + 0.00005*z) * exp( -w*w ) ; |
---|
667 | w = 4.0 * (1.0 - exp(-x)) * w * w ; |
---|
668 | |
---|
669 | return w; |
---|
670 | } |
---|
671 | |
---|
672 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo...... |
---|
673 | |
---|