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25 // 22 //
>> 23 // $Id: G4BraggIonModel.cc,v 1.10 2005/11/29 07:58:42 vnivanch Exp $
>> 24 // GEANT4 tag $Name: geant4-08-00-patch-01 $
>> 25 //
26 // ------------------------------------------- 26 // -------------------------------------------------------------------
27 // 27 //
28 // GEANT4 Class file 28 // GEANT4 Class file
29 // 29 //
30 // 30 //
31 // File name: G4BraggIonModel 31 // File name: G4BraggIonModel
32 // 32 //
33 // Author: Vladimir Ivanchenko 33 // Author: Vladimir Ivanchenko
34 // 34 //
35 // Creation date: 13.10.2004 35 // Creation date: 13.10.2004
36 // 36 //
37 // Modifications: 37 // Modifications:
38 // 11-05-05 Major optimisation of internal int 38 // 11-05-05 Major optimisation of internal interfaces (V.Ivantchenko)
39 // 29-11-05 Do not use G4Alpha class (V.Ivantc 39 // 29-11-05 Do not use G4Alpha class (V.Ivantchenko)
40 // 15-02-06 ComputeCrossSectionPerElectron, Co <<
41 // 25-04-06 Add stopping data from ASTAR (V.Iv <<
42 // 23-10-06 Reduce lowestKinEnergy to 0.25 keV <<
43 // 12-08-08 Added methods GetParticleCharge, G <<
44 // CorrectionsAlongStep needed for io <<
45 // 40 //
46 41
47 // Class Description: 42 // Class Description:
48 // 43 //
49 // Implementation of energy loss and delta-ele 44 // Implementation of energy loss and delta-electron production by
50 // slow charged heavy particles 45 // slow charged heavy particles
51 46
52 // ------------------------------------------- 47 // -------------------------------------------------------------------
53 // 48 //
54 49
55 //....oooOO0OOooo........oooOO0OOooo........oo << 50
56 //....oooOO0OOooo........oooOO0OOooo........oo << 51 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
>> 52 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
57 53
58 #include "G4BraggIonModel.hh" 54 #include "G4BraggIonModel.hh"
59 #include "G4PhysicalConstants.hh" <<
60 #include "G4SystemOfUnits.hh" <<
61 #include "Randomize.hh" 55 #include "Randomize.hh"
62 #include "G4Electron.hh" 56 #include "G4Electron.hh"
63 #include "G4ParticleChangeForLoss.hh" 57 #include "G4ParticleChangeForLoss.hh"
64 #include "G4EmCorrections.hh" <<
65 #include "G4DeltaAngle.hh" <<
66 #include "G4ICRU90StoppingData.hh" <<
67 #include "G4ASTARStopping.hh" <<
68 #include "G4PSTARStopping.hh" <<
69 #include "G4NistManager.hh" <<
70 #include "G4Log.hh" <<
71 #include "G4Exp.hh" <<
72 #include "G4AutoLock.hh" <<
73 58
74 //....oooOO0OOooo........oooOO0OOooo........oo << 59 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
75 60
76 G4ASTARStopping* G4BraggIonModel::fASTAR = nul << 61 using namespace std;
77 62
78 namespace << 63 G4BraggIonModel::G4BraggIonModel(const G4ParticleDefinition* p, const G4String& nam)
79 { << 64 : G4VEmModel(nam),
80 G4Mutex alphaMutex = G4MUTEX_INITIALIZER; << 65 particle(0),
>> 66 iMolecula(0),
>> 67 isIon(false)
>> 68 {
>> 69 if(p) SetParticle(p);
>> 70 highKinEnergy = 2.0*MeV;
>> 71 lowKinEnergy = 0.0*MeV;
>> 72 lowestKinEnergy = 1.0*keV;
>> 73 HeMass = 3.72742*GeV;
>> 74 rateMassHe2p = HeMass/proton_mass_c2;
>> 75 massFactor = 1000.*amu_c2/HeMass;
>> 76 theZieglerFactor = eV*cm2*1.0e-15;
>> 77 theElectron = G4Electron::Electron();
81 } 78 }
82 79
83 G4BraggIonModel::G4BraggIonModel(const G4Parti << 80 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
84 const G4Strin <<
85 : G4BraggModel(p, nam) <<
86 { <<
87 HeMass = 3.727417*CLHEP::GeV; <<
88 massFactor = 1000.*CLHEP::amu_c2/HeMass; <<
89 } <<
90 <<
91 //....oooOO0OOooo........oooOO0OOooo........oo <<
92 81
93 G4BraggIonModel::~G4BraggIonModel() 82 G4BraggIonModel::~G4BraggIonModel()
>> 83 {}
>> 84
>> 85 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
>> 86
>> 87 G4double G4BraggIonModel::MinEnergyCut(const G4ParticleDefinition*,
>> 88 const G4MaterialCutsCouple* couple)
94 { 89 {
95 if(isFirstAlpha) { << 90 return couple->GetMaterial()->GetIonisation()->GetMeanExcitationEnergy();
96 delete fASTAR; <<
97 fASTAR = nullptr; <<
98 } <<
99 } 91 }
100 92
101 //....oooOO0OOooo........oooOO0OOooo........oo << 93 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
102 94
103 void G4BraggIonModel::Initialise(const G4Parti 95 void G4BraggIonModel::Initialise(const G4ParticleDefinition* p,
104 const G4DataV << 96 const G4DataVector&)
105 { 97 {
106 G4BraggModel::Initialise(p, ref); << 98 if(p != particle) SetParticle(p);
107 const G4String& pname = particle->GetParticl << 99 G4String pname = particle->GetParticleName();
108 if(pname == "alpha") { isAlpha = true; } << 100 if(particle->GetParticleType() == "nucleus" &&
109 if(isAlpha && fASTAR == nullptr) { << 101 pname != "deuteron" && pname != "triton") isIon = true;
110 G4AutoLock l(&alphaMutex); << 102
111 if(fASTAR == nullptr) { << 103 if(pParticleChange)
112 isFirstAlpha = true; << 104 fParticleChange = reinterpret_cast<G4ParticleChangeForLoss*>(pParticleChange);
113 fASTAR = new G4ASTARStopping(); << 105 else
114 } << 106 fParticleChange = new G4ParticleChangeForLoss();
115 l.unlock(); << 107
116 } <<
117 if(isFirstAlpha) { <<
118 fASTAR->Initialise(); <<
119 } <<
120 } 108 }
121 109
>> 110 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
>> 111
>> 112 G4double G4BraggIonModel::ComputeDEDXPerVolume(const G4Material* material,
>> 113 const G4ParticleDefinition* p,
>> 114 G4double kineticEnergy,
>> 115 G4double cutEnergy)
>> 116 {
>> 117 G4double tmax = MaxSecondaryEnergy(p, kineticEnergy);
>> 118 G4double tmin = min(cutEnergy, tmax);
>> 119 G4double tkin = kineticEnergy/massRate;
>> 120 G4double dedx = 0.0;
>> 121 if(tkin > lowestKinEnergy) dedx = DEDX(material, tkin);
>> 122 else dedx = DEDX(material, lowestKinEnergy)*sqrt(tkin/lowestKinEnergy);
>> 123
>> 124 if (cutEnergy < tmax) {
122 125
123 //....oooOO0OOooo........oooOO0OOooo........oo << 126 G4double tau = kineticEnergy/mass;
>> 127 G4double gam = tau + 1.0;
>> 128 G4double bg2 = tau * (tau+2.0);
>> 129 G4double beta2 = bg2/(gam*gam);
>> 130 G4double x = tmin/tmax;
124 131
125 G4double G4BraggIonModel::GetChargeSquareRatio << 132 dedx += (log(x) + (1.0 - x)*beta2) * twopi_mc2_rcl2
126 << 133 * (material->GetElectronDensity())/beta2;
127 <<
128 { <<
129 // this method is called only for ions, so n <<
130 if(isAlpha) { return 1.0; } <<
131 return G4BraggModel::GetChargeSquareRatio(p, <<
132 } <<
133 <<
134 //....oooOO0OOooo........oooOO0OOooo........oo <<
135 <<
136 G4double G4BraggIonModel::ComputeCrossSectionP <<
137 con <<
138 <<
139 <<
140 <<
141 <<
142 { <<
143 G4double sigma = <<
144 Z*ComputeCrossSectionPerElectron(p,kinEner <<
145 if(isAlpha) { <<
146 sigma *= (HeEffChargeSquare(Z, kinEnergy/C <<
147 } 134 }
148 return sigma; << 135
>> 136 // now compute the total ionization loss
>> 137
>> 138 if (dedx < 0.0) dedx = 0.0 ;
>> 139
>> 140 dedx *= chargeSquare;
>> 141
>> 142 //G4cout << " tkin(MeV)= " << tkin/MeV << " dedx(MeVxcm^2/g)= " << dedx*gram/(MeV*cm2*material->GetDensity())
>> 143 // << " q2= " << chargeSquare << G4endl;
>> 144
>> 145 return dedx;
149 } 146 }
150 147
151 //....oooOO0OOooo........oooOO0OOooo........oo << 148 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
>> 149
>> 150 G4double G4BraggIonModel::CrossSectionPerVolume(const G4Material* material,
>> 151 const G4ParticleDefinition* p,
>> 152 G4double kineticEnergy,
>> 153 G4double cutEnergy,
>> 154 G4double maxKinEnergy)
>> 155 {
>> 156
>> 157 G4double cross = 0.0;
>> 158 G4double tmax = MaxSecondaryEnergy(p, kineticEnergy);
>> 159 G4double maxEnergy = min(tmax,maxKinEnergy);
>> 160 if(cutEnergy < tmax) {
152 161
153 G4double G4BraggIonModel::CrossSectionPerVolum << 162 G4double energy = kineticEnergy + mass;
154 con << 163 G4double energy2 = energy*energy;
155 con << 164 G4double beta2 = kineticEnergy*(kineticEnergy + 2.0*mass)/energy2;
156 << 165 cross = 1.0/cutEnergy - 1.0/maxEnergy - beta2*log(maxEnergy/cutEnergy)/tmax;
157 << 166
158 << 167 cross *= twopi_mc2_rcl2*chargeSquare*material->GetElectronDensity()/beta2;
159 { <<
160 G4double sigma = material->GetElectronDensit <<
161 ComputeCrossSectionPerElectron(p,kinEnergy <<
162 if(isAlpha) { <<
163 const G4double zeff = material->GetTotNbOf <<
164 material->GetTotNbOfAtomsPerVolume(); <<
165 sigma *= (HeEffChargeSquare(zeff, kinEnerg <<
166 } 168 }
167 return sigma; << 169 // G4cout << "BR: e= " << kineticEnergy << " tmin= " << cutEnergy << " tmax= " << tmax
>> 170 // << " cross= " << cross << G4endl;
>> 171 return cross;
168 } 172 }
169 173
170 //....oooOO0OOooo........oooOO0OOooo........oo << 174 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
171 175
172 G4double G4BraggIonModel::ComputeDEDXPerVolume << 176 std::vector<G4DynamicParticle*>* G4BraggIonModel::SampleSecondaries(
173 << 177 const G4MaterialCutsCouple*,
174 << 178 const G4DynamicParticle* dp,
175 << 179 G4double xmin,
176 { << 180 G4double maxEnergy)
177 const G4double tmax = MaxSecondaryEnergy(p, << 181 {
178 const G4double tlim = lowestKinEnergy*massRa << 182 G4double tmax = MaxSecondaryKinEnergy(dp);
179 const G4double tmin = std::max(std::min(cut, << 183 G4double xmax = min(tmax, maxEnergy);
180 G4double dedx = 0.0; << 184 if(xmin >= xmax) return 0;
181 185
182 if(kineticEnergy < tlim) { << 186 G4double kineticEnergy = dp->GetKineticEnergy();
183 dedx = HeDEDX(material, tlim)*std::sqrt(ki << 187 G4double energy = kineticEnergy + mass;
184 } else { << 188 G4double energy2 = energy*energy;
185 dedx = HeDEDX(material, kineticEnergy); << 189 G4double beta2 = kineticEnergy*(kineticEnergy + 2.0*mass)/energy2;
>> 190 G4double grej = 1.0;
>> 191 G4double deltaKinEnergy, f;
186 192
187 if (tmin < tmax) { << 193 G4ThreeVector direction = dp->GetMomentumDirection();
188 const G4double tau = kineticEnergy/mass; << 194
189 const G4double x = tmin/tmax; << 195 // sampling follows ...
190 << 196 do {
191 G4double del = << 197 G4double q = G4UniformRand();
192 (G4Log(x)*(tau + 1.)*(tau + 1.)/(tau * << 198 deltaKinEnergy = xmin*xmax/(xmin*(1.0 - q) + xmax*q);
193 CLHEP::twopi_mc2_rcl2*material->GetElectronD << 199
194 if(isAlpha) { << 200 f = 1.0 - beta2*deltaKinEnergy/tmax;
195 const G4double zeff = material->GetTotNbOfEl << 201
196 material->GetTotNbOfAtomsPerVolume(); << 202 if(f > grej) {
197 heChargeSquare = HeEffChargeSquare(zeff, kin << 203 G4cout << "G4BraggIonModel::SampleSecondary Warning! "
198 del *= heChargeSquare; << 204 << "Majorant " << grej << " < "
199 } << 205 << f << " for e= " << deltaKinEnergy
200 dedx += del; << 206 << G4endl;
201 } 207 }
202 } <<
203 dedx = std::max(dedx, 0.0); <<
204 /* <<
205 G4cout << "BraggIon: " << material->GetNam <<
206 << " E(MeV)=" << kineticEnergy/MeV <<
207 << " Tmin(MeV)=" << tmin << " dedx( <<
208 << dedx*gram/(MeV*cm2*material->Get <<
209 << " q2=" << chargeSquare << G4endl <<
210 */ <<
211 return dedx; <<
212 } <<
213 208
214 //....oooOO0OOooo........oooOO0OOooo........oo << 209 } while( grej*G4UniformRand() >= f );
>> 210
>> 211 G4double deltaMomentum =
>> 212 sqrt(deltaKinEnergy * (deltaKinEnergy + 2.0*electron_mass_c2));
>> 213 G4double totMomentum = sqrt(energy2 - mass*mass);
>> 214 G4double cost = deltaKinEnergy * (energy + electron_mass_c2) /
>> 215 (deltaMomentum * totMomentum);
>> 216 G4double sint = sqrt(1.0 - cost*cost);
>> 217
>> 218 G4double phi = twopi * G4UniformRand() ;
>> 219
>> 220 G4ThreeVector deltaDirection(sint*cos(phi),sint*sin(phi), cost) ;
>> 221 deltaDirection.rotateUz(direction);
>> 222
>> 223 // create G4DynamicParticle object for delta ray
>> 224 G4DynamicParticle* delta = new G4DynamicParticle(theElectron,deltaDirection,
>> 225 deltaKinEnergy);
>> 226
>> 227 std::vector<G4DynamicParticle*>* vdp = new std::vector<G4DynamicParticle*>;
>> 228 vdp->push_back(delta);
>> 229
>> 230 // Change kinematics of primary particle
>> 231 kineticEnergy -= deltaKinEnergy;
>> 232 G4ThreeVector finalP = direction*totMomentum - deltaDirection*deltaMomentum;
>> 233 finalP = finalP.unit();
>> 234
>> 235 fParticleChange->SetProposedKineticEnergy(kineticEnergy);
>> 236 fParticleChange->SetProposedMomentumDirection(finalP);
215 237
216 void G4BraggIonModel::CorrectionsAlongStep(con << 238 return vdp;
217 con <<
218 con <<
219 G4d <<
220 { <<
221 // no correction for alpha <<
222 if(isAlpha) { return; } <<
223 <<
224 // no correction at a small step at the last <<
225 const G4double preKinEnergy = dp->GetKinetic <<
226 if(eloss >= preKinEnergy || eloss < preKinEn <<
227 <<
228 // corrections only for ions <<
229 const G4ParticleDefinition* p = dp->GetDefin <<
230 if(p != particle) { SetParticle(p); } <<
231 <<
232 // effective energy and charge at a step <<
233 const G4Material* mat = couple->GetMaterial( <<
234 const G4double e = std::max(preKinEnergy - e <<
235 const G4double q20 = corr->EffectiveChargeSq <<
236 const G4double q2 = corr->EffectiveChargeSqu <<
237 const G4double qfactor = q2/q20; <<
238 /* <<
239 G4cout << "G4BraggIonModel::CorrectionsAlo <<
240 << preKinEnergy << " Eeff(MeV)=" << e <<
241 << " eloss=" << eloss << " elossnew=" << e <<
242 << " qfactor=" << qfactor << " Qpre=" << q <<
243 << p->GetParticleName() <<G4endl; <<
244 */ <<
245 eloss *= qfactor; <<
246 } 239 }
247 240
248 //....oooOO0OOooo........oooOO0OOooo........oo << 241 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
249 242
250 G4int G4BraggIonModel::HasMaterialForHe(const << 243 G4bool G4BraggIonModel::HasMaterial(const G4Material* material)
251 { 244 {
252 const G4String& chFormula = mat->GetChemical << 245 const size_t numberOfMolecula = 11 ;
253 if(chFormula.empty()) { return -1; } << 246 SetMoleculaNumber(numberOfMolecula) ;
>> 247 G4String chFormula = material->GetChemicalFormula() ;
254 248
255 // ICRU Report N49, 1993. Ziegler model for 249 // ICRU Report N49, 1993. Ziegler model for He.
256 << 250 static G4String molName[numberOfMolecula] = {
257 static const G4int numberOfMolecula = 11; <<
258 static const G4String molName[numberOfMolecu <<
259 "CaF_2", "Cellulose_Nitrate", "LiF", "Po 251 "CaF_2", "Cellulose_Nitrate", "LiF", "Policarbonate",
260 "(C_2H_4)_N-Polyethylene", "(C_2H_4)_N-Po 252 "(C_2H_4)_N-Polyethylene", "(C_2H_4)_N-Polymethly_Methacralate",
261 "Polysterene", "SiO_2", "NaI", "H_2O", 253 "Polysterene", "SiO_2", "NaI", "H_2O",
262 "Graphite" }; << 254 "Graphite" } ;
263 255
264 // Search for the material in the table 256 // Search for the material in the table
265 for (G4int i=0; i<numberOfMolecula; ++i) { << 257 for (size_t i=0; i<numberOfMolecula; i++) {
266 if (chFormula == molName[i]) { << 258 if (chFormula == molName[i]) {
267 return i; << 259 SetMoleculaNumber(i) ;
268 } << 260 return true ;
>> 261 }
269 } 262 }
270 return -1; << 263 return false ;
271 } 264 }
272 265
273 //....oooOO0OOooo........oooOO0OOooo........oo << 266 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
274 267
275 G4double G4BraggIonModel::HeStoppingPower(cons << 268 G4double G4BraggIonModel::StoppingPower(const G4Material* material,
>> 269 G4double kineticEnergy)
276 { 270 {
277 G4double ionloss = 0.0; << 271 G4double ionloss = 0.0 ;
278 if (iMolecula >= 0) { << 272
>> 273 if (iMolecula < 11) {
279 274
280 // The data and the fit from: 275 // The data and the fit from:
281 // ICRU Report N49, 1993. Ziegler's model 276 // ICRU Report N49, 1993. Ziegler's model for alpha
282 // He energy in internal units of parametr 277 // He energy in internal units of parametrisation formula (MeV)
283 // Input scaled energy of a proton or Gene <<
284 G4double T = kineticEnergy/(massRate*CLHEP <<
285 278
286 static const G4float a[11][5] = { << 279 G4double T = kineticEnergy*rateMassHe2p/MeV ;
287 {9.43672f, 0.54398f, 84.341f, 1.3705f, << 280
288 {67.1503f, 0.41409f, 404.512f, 148.97f, << 281 static G4double a[11][5] = {
289 {5.11203f, 0.453f, 36.718f, 50.6f, << 282 {9.43672, 0.54398, 84.341, 1.3705, 57.422},
290 {61.793f, 0.48445f, 361.537f, 57.889f, << 283 {67.1503, 0.41409, 404.512, 148.97, 20.99},
291 {7.83464f, 0.49804f, 160.452f, 3.192f, << 284 {5.11203, 0.453, 36.718, 50.6, 28.058},
292 {19.729f, 0.52153f, 162.341f, 58.35f, << 285 {61.793, 0.48445, 361.537, 57.889, 50.674},
293 {26.4648f, 0.50112f, 188.913f, 30.079f, << 286 {7.83464, 0.49804, 160.452, 3.192, 0.71922},
294 {7.8655f, 0.5205f, 63.96f, 51.32f, << 287 {19.729, 0.52153, 162.341, 58.35, 25.668},
295 {8.8965f, 0.5148f, 339.36f, 1.7205f, << 288 {26.4648, 0.50112, 188.913, 30.079, 16.509},
296 {2.959f, 0.53255f, 34.247f, 60.655f, << 289 {7.8655, 0.5205, 63.96, 51.32, 67.775},
297 {3.80133f, 0.41590f, 12.9966f, 117.83f, << 290 {8.8965, 0.5148, 339.36, 1.7205, 0.70423},
298 << 291 {2.959, 0.53255, 34.247, 60.655, 15.153},
299 static const G4double atomicWeight[11] = { << 292 {3.80133, 0.41590, 12.9966, 117.83, 242.28} };
300 101.96128f, 44.0098f, 16.0426f, 28.0536 << 293
301 104.1512f, 44.665f, 60.0843f, 18.0152 << 294 static G4double atomicWeight[11] = {
302 << 295 101.96128, 44.0098, 16.0426, 28.0536, 42.0804,
303 const G4int i = iMolecula; << 296 104.1512, 44.665, 60.0843, 18.0152, 18.0152, 12.0};
304 << 297
305 G4double slow = (G4double)(a[i][0]); << 298 G4int i = iMolecula;
306 <<
307 G4double x1 = (G4double)(a[i][1]); <<
308 G4double x2 = (G4double)(a[i][2]); <<
309 G4double x3 = (G4double)(a[i][3]); <<
310 G4double x4 = (G4double)(a[i][4]); <<
311 299
312 // Free electron gas model 300 // Free electron gas model
313 if ( T < 0.001 ) { 301 if ( T < 0.001 ) {
314 G4double shigh = G4Log( 1.0 + x3*1000.0 << 302 G4double slow = a[i][0] ;
>> 303 G4double shigh = log( 1.0 + a[i][3]*1000.0 + a[i][4]*0.001 )
>> 304 * a[i][2]*1000.0 ;
315 ionloss = slow*shigh / (slow + shigh) ; 305 ionloss = slow*shigh / (slow + shigh) ;
316 ionloss *= std::sqrt(T*1000.0) ; << 306 ionloss *= sqrt(T*1000.0) ;
317 307
318 // Main parametrisation 308 // Main parametrisation
319 } else { 309 } else {
320 slow *= G4Exp(G4Log(T*1000.0)*x1) ; << 310 G4double slow = a[i][0] * pow((T*1000.0), a[i][1]) ;
321 G4double shigh = G4Log( 1.0 + x3/T + x4* << 311 G4double shigh = log( 1.0 + a[i][3]/T + a[i][4]*T ) * a[i][2]/T ;
322 ionloss = slow*shigh / (slow + shigh) ; 312 ionloss = slow*shigh / (slow + shigh) ;
323 /* 313 /*
324 G4cout << "## " << i << ". T= " << T << 314 G4cout << "## " << i << ". T= " << T << " slow= " << slow
325 << " a0= " << a[i][0] << " a1= " << a << 315 << " a0= " << a[i][0] << " a1= " << a[i][1]
326 << " shigh= " << shigh << 316 << " shigh= " << shigh
327 << " dedx= " << ionloss << " q^2= " < << 317 << " dedx= " << ionloss << " q^2= " << HeEffChargeSquare(z, T*MeV) << G4endl;
328 << G4endl; <<
329 */ 318 */
330 } 319 }
331 ionloss = std::max(ionloss, 0.0) * atomicW << 320 if ( ionloss < 0.0) ionloss = 0.0 ;
>> 321
>> 322 // He effective charge
>> 323 G4double aa = atomicWeight[iMolecula];
>> 324 ionloss /= (HeEffChargeSquare(0.5*aa, T)*aa);
>> 325
>> 326 // pure material (normally not the case for this function)
>> 327 } else if(1 == (material->GetNumberOfElements())) {
>> 328 G4double z = material->GetZ() ;
>> 329 ionloss = ElectronicStoppingPower( z, kineticEnergy ) ;
332 } 330 }
>> 331
333 return ionloss; 332 return ionloss;
334 } 333 }
335 334
336 //....oooOO0OOooo........oooOO0OOooo........oo << 335 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
337 336
338 G4double G4BraggIonModel::HeElectronicStopping << 337 G4double G4BraggIonModel::ElectronicStoppingPower(G4double z,
339 const G4double kinet << 338 G4double kineticEnergy) const
340 { 339 {
341 G4double ionloss ; 340 G4double ionloss ;
342 G4int i = std::min(z-1, 91); // index of at << 341 G4int i = G4int(z)-1 ; // index of atom
343 //G4cout << "ElectronicStoppingPower z=" << << 342 if(i < 0) i = 0 ;
344 // << " E=" << kineticEnergy << G4endl; << 343 if(i > 91) i = 91 ;
>> 344
345 // The data and the fit from: 345 // The data and the fit from:
346 // ICRU Report 49, 1993. Ziegler's type of p 346 // ICRU Report 49, 1993. Ziegler's type of parametrisations.
347 // Proton kinetic energy for parametrisation 347 // Proton kinetic energy for parametrisation (keV/amu)
348 // He energy in internal units of parametris << 348
349 //G4double T = kineticEnergy*rateMassHe2p/CL << 349 // He energy in internal units of parametrisation formula (MeV)
350 G4double T = kineticEnergy/CLHEP::MeV; << 350 G4double T = kineticEnergy*rateMassHe2p/MeV ;
351 << 351
352 static const G4float a[92][5] = { << 352 static G4double a[92][5] = {
353 { 0.35485f, 0.6456f, 6.01525f, 20.8933f, << 353 {0.35485, 0.6456, 6.01525, 20.8933, 4.3515
354 },{ 0.58f, 0.59f, 6.3f, 130.0f, << 354 },{ 0.58, 0.59, 6.3, 130.0, 44.07
355 },{ 1.42f, 0.49f, 12.25f, 32.0f, << 355 },{ 1.42, 0.49, 12.25, 32.0, 9.161
356 },{ 2.206f, 0.51f, 15.32f, 0.25f, << 356 },{ 2.206, 0.51, 15.32, 0.25, 8.995 //Be Ziegler77
357 // },{ 2.1895f, 0.47183,7.2362f, 134 << 357 // },{ 2.1895, 0.47183,7.2362, 134.30, 197.96 //Be from ICRU
358 },{ 3.691f, 0.4128f, 18.48f, 50.72f, << 358 },{ 3.691, 0.4128, 18.48, 50.72, 9.0
359 },{ 3.83523f, 0.42993f,12.6125f, 227.41f, << 359 },{ 3.83523, 0.42993,12.6125, 227.41, 188.97
360 // },{ 1.9259f, 0.5550f, 27.15125f, 26 << 360 },{ 1.9259, 0.5550, 27.15125, 26.0665, 6.2768
361 },{ 1.9259f, 0.5550f, 27.1513f, 26.0665f, << 361 },{ 2.81015, 0.4759, 50.0253, 10.556, 1.0382
362 },{ 2.81015f, 0.4759f, 50.0253f, 10.556f, << 362 },{ 1.533, 0.531, 40.44, 18.41, 2.718
363 },{ 1.533f, 0.531f, 40.44f, 18.41f, << 363 },{ 2.303, 0.4861, 37.01, 37.96, 5.092
364 },{ 2.303f, 0.4861f, 37.01f, 37.96f, <<
365 // Z= 11-20 364 // Z= 11-20
366 },{ 9.894f, 0.3081f, 23.65f, 0.384f, << 365 },{ 9.894, 0.3081, 23.65, 0.384, 92.93
367 },{ 4.3f, 0.47f, 34.3f, 3.3f, << 366 },{ 4.3, 0.47, 34.3, 3.3, 12.74
368 },{ 2.5f, 0.625f, 45.7f, 0.1f, << 367 },{ 2.5, 0.625, 45.7, 0.1, 4.359
369 },{ 2.1f, 0.65f, 49.34f, 1.788f, << 368 },{ 2.1, 0.65, 49.34, 1.788, 4.133
370 },{ 1.729f, 0.6562f, 53.41f, 2.405f, << 369 },{ 1.729, 0.6562, 53.41, 2.405, 3.845
371 },{ 1.402f, 0.6791f, 58.98f, 3.528f, << 370 },{ 1.402, 0.6791, 58.98, 3.528, 3.211
372 },{ 1.117f, 0.7044f, 69.69f, 3.705f, << 371 },{ 1.117, 0.7044, 69.69, 3.705, 2.156
373 },{ 2.291f, 0.6284f, 73.88f, 4.478f, << 372 },{ 2.291, 0.6284, 73.88, 4.478, 2.066
374 },{ 8.554f, 0.3817f, 83.61f, 11.84f, << 373 },{ 8.554, 0.3817, 83.61, 11.84, 1.875
375 },{ 6.297f, 0.4622f, 65.39f, 10.14f, << 374 },{ 6.297, 0.4622, 65.39, 10.14, 5.036
376 // Z= 21-30 375 // Z= 21-30
377 },{ 5.307f, 0.4918f, 61.74f, 12.4f, << 376 },{ 5.307, 0.4918, 61.74, 12.4, 6.665
378 },{ 4.71f, 0.5087f, 65.28f, 8.806f, << 377 },{ 4.71, 0.5087, 65.28, 8.806, 5.948
379 },{ 6.151f, 0.4524f, 83.0f, 18.31f, << 378 },{ 6.151, 0.4524, 83.0, 18.31, 2.71
380 },{ 6.57f, 0.4322f, 84.76f, 15.53f, << 379 },{ 6.57, 0.4322, 84.76, 15.53, 2.779
381 },{ 5.738f, 0.4492f, 84.6f, 14.18f, << 380 },{ 5.738, 0.4492, 84.6, 14.18, 3.101
382 },{ 5.013f, 0.4707f, 85.8f, 16.55f, << 381 },{ 5.013, 0.4707, 85.8, 16.55, 3.211
383 },{ 4.32f, 0.4947f, 76.14f, 10.85f, << 382 },{ 4.32, 0.4947, 76.14, 10.85, 5.441
384 },{ 4.652f, 0.4571f, 80.73f, 22.0f, << 383 },{ 4.652, 0.4571, 80.73, 22.0, 4.952
385 },{ 3.114f, 0.5236f, 76.67f, 7.62f, << 384 },{ 3.114, 0.5236, 76.67, 7.62, 6.385
386 },{ 3.114f, 0.5236f, 76.67f, 7.62f, << 385 },{ 3.114, 0.5236, 76.67, 7.62, 7.502
387 // Z= 31-40 386 // Z= 31-40
388 },{ 3.114f, 0.5236f, 76.67f, 7.62f, << 387 },{ 3.114, 0.5236, 76.67, 7.62, 8.514
389 },{ 5.746f, 0.4662f, 79.24f, 1.185f, << 388 },{ 5.746, 0.4662, 79.24, 1.185, 7.993
390 },{ 2.792f, 0.6346f, 106.1f, 0.2986f, << 389 },{ 2.792, 0.6346, 106.1, 0.2986, 2.331
391 },{ 4.667f, 0.5095f, 124.3f, 2.102f, << 390 },{ 4.667, 0.5095, 124.3, 2.102, 1.667
392 },{ 2.44f, 0.6346f, 105.0f, 0.83f, << 391 },{ 2.44, 0.6346, 105.0, 0.83, 2.851
393 },{ 1.413f, 0.7377f, 147.9f, 1.466f, << 392 },{ 1.413, 0.7377, 147.9, 1.466, 1.016
394 },{ 11.72f, 0.3826f, 102.8f, 9.231f, << 393 },{ 11.72, 0.3826, 102.8, 9.231, 4.371
395 },{ 7.126f, 0.4804f, 119.3f, 5.784f, << 394 },{ 7.126, 0.4804, 119.3, 5.784, 2.454
396 },{ 11.61f, 0.3955f, 146.7f, 7.031f, << 395 },{ 11.61, 0.3955, 146.7, 7.031, 1.423
397 },{ 10.99f, 0.41f, 163.9f, 7.1f, << 396 },{ 10.99, 0.41, 163.9, 7.1, 1.052
398 // Z= 41-50 397 // Z= 41-50
399 },{ 9.241f, 0.4275f, 163.1f, 7.954f, << 398 },{ 9.241, 0.4275, 163.1, 7.954, 1.102
400 },{ 9.276f, 0.418f, 157.1f, 8.038f, << 399 },{ 9.276, 0.418, 157.1, 8.038, 1.29
401 },{ 3.999f, 0.6152f, 97.6f, 1.297f, << 400 },{ 3.999, 0.6152, 97.6, 1.297, 5.792
402 },{ 4.306f, 0.5658f, 97.99f, 5.514f, << 401 },{ 4.306, 0.5658, 97.99, 5.514, 5.754
403 },{ 3.615f, 0.6197f, 86.26f, 0.333f, << 402 },{ 3.615, 0.6197, 86.26, 0.333, 8.689
404 },{ 5.8f, 0.49f, 147.2f, 6.903f, << 403 },{ 5.8, 0.49, 147.2, 6.903, 1.289
405 },{ 5.6f, 0.49f, 130.0f, 10.0f, << 404 },{ 5.6, 0.49, 130.0, 10.0, 2.844
406 },{ 3.55f, 0.6068f, 124.7f, 1.112f, << 405 },{ 3.55, 0.6068, 124.7, 1.112, 3.119
407 },{ 3.6f, 0.62f, 105.8f, 0.1692f, << 406 },{ 3.6, 0.62, 105.8, 0.1692, 6.026
408 },{ 5.4f, 0.53f, 103.1f, 3.931f, << 407 },{ 5.4, 0.53, 103.1, 3.931, 7.767
409 // Z= 51-60 408 // Z= 51-60
410 },{ 3.97f, 0.6459f, 131.8f, 0.2233f, << 409 },{ 3.97, 0.6459, 131.8, 0.2233, 2.723
411 },{ 3.65f, 0.64f, 126.8f, 0.6834f, << 410 },{ 3.65, 0.64, 126.8, 0.6834, 3.411
412 },{ 3.118f, 0.6519f, 164.9f, 1.208f, << 411 },{ 3.118, 0.6519, 164.9, 1.208, 1.51
413 },{ 3.949f, 0.6209f, 200.5f, 1.878f, << 412 },{ 3.949, 0.6209, 200.5, 1.878, 0.9126
414 },{ 14.4f, 0.3923f, 152.5f, 8.354f, << 413 },{ 14.4, 0.3923, 152.5, 8.354, 2.597
415 },{ 10.99f, 0.4599f, 138.4f, 4.811f, << 414 },{ 10.99, 0.4599, 138.4, 4.811, 3.726
416 },{ 16.6f, 0.3773f, 224.1f, 6.28f, << 415 },{ 16.6, 0.3773, 224.1, 6.28, 0.9121
417 },{ 10.54f, 0.4533f, 159.3f, 4.832f, << 416 },{ 10.54, 0.4533, 159.3, 4.832, 2.529
418 },{ 10.33f, 0.4502f, 162.0f, 5.132f, << 417 },{ 10.33, 0.4502, 162.0, 5.132, 2.444
419 },{ 10.15f, 0.4471f, 165.6f, 5.378f, << 418 },{ 10.15, 0.4471, 165.6, 5.378, 2.328
420 // Z= 61-70 419 // Z= 61-70
421 },{ 9.976f, 0.4439f, 168.0f, 5.721f, << 420 },{ 9.976, 0.4439, 168.0, 5.721, 2.258
422 },{ 9.804f, 0.4408f, 176.2f, 5.675f, << 421 },{ 9.804, 0.4408, 176.2, 5.675, 1.997
423 },{ 14.22f, 0.363f, 228.4f, 7.024f, << 422 },{ 14.22, 0.363, 228.4, 7.024, 1.016
424 },{ 9.952f, 0.4318f, 233.5f, 5.065f, << 423 },{ 9.952, 0.4318, 233.5, 5.065, 0.9244
425 },{ 9.272f, 0.4345f, 210.0f, 4.911f, << 424 },{ 9.272, 0.4345, 210.0, 4.911, 1.258
426 },{ 10.13f, 0.4146f, 225.7f, 5.525f, << 425 },{ 10.13, 0.4146, 225.7, 5.525, 1.055
427 },{ 8.949f, 0.4304f, 213.3f, 5.071f, << 426 },{ 8.949, 0.4304, 213.3, 5.071, 1.221
428 },{ 11.94f, 0.3783f, 247.2f, 6.655f, << 427 },{ 11.94, 0.3783, 247.2, 6.655, 0.849
429 },{ 8.472f, 0.4405f, 195.5f, 4.051f, << 428 },{ 8.472, 0.4405, 195.5, 4.051, 1.604
430 },{ 8.301f, 0.4399f, 203.7f, 3.667f, << 429 },{ 8.301, 0.4399, 203.7, 3.667, 1.459
431 // Z= 71-80 430 // Z= 71-80
432 },{ 6.567f, 0.4858f, 193.0f, 2.65f, << 431 },{ 6.567, 0.4858, 193.0, 2.65, 1.66
433 },{ 5.951f, 0.5016f, 196.1f, 2.662f, << 432 },{ 5.951, 0.5016, 196.1, 2.662, 1.589
434 },{ 7.495f, 0.4523f, 251.4f, 3.433f, << 433 },{ 7.495, 0.4523, 251.4, 3.433, 0.8619
435 },{ 6.335f, 0.4825f, 255.1f, 2.834f, << 434 },{ 6.335, 0.4825, 255.1, 2.834, 0.8228
436 },{ 4.314f, 0.5558f, 214.8f, 2.354f, << 435 },{ 4.314, 0.5558, 214.8, 2.354, 1.263
437 },{ 4.02f, 0.5681f, 219.9f, 2.402f, << 436 },{ 4.02, 0.5681, 219.9, 2.402, 1.191
438 },{ 3.836f, 0.5765f, 210.2f, 2.742f, << 437 },{ 3.836, 0.5765, 210.2, 2.742, 1.305
439 },{ 4.68f, 0.5247f, 244.7f, 2.749f, << 438 },{ 4.68, 0.5247, 244.7, 2.749, 0.8962
440 },{ 2.892f, 0.6204f, 208.6f, 2.415f, << 439 },{ 2.892, 0.6204, 208.6, 2.415, 1.416 //Au Z77
441 // },{ 3.223f, 0.5883f, 232.7f, 2.9 << 440 // },{ 3.223, 0.5883, 232.7, 2.954, 1.05 //Au ICRU
442 },{ 2.892f, 0.6204f, 208.6f, 2.415f, << 441 },{ 2.892, 0.6204, 208.6, 2.415, 1.416
443 // Z= 81-90 442 // Z= 81-90
444 },{ 4.728f, 0.5522f, 217.0f, 3.091f, << 443 },{ 4.728, 0.5522, 217.0, 3.091, 1.386
445 },{ 6.18f, 0.52f, 170.0f, 4.0f, << 444 },{ 6.18, 0.52, 170.0, 4.0, 3.224
446 },{ 9.0f, 0.47f, 198.0f, 3.8f, << 445 },{ 9.0, 0.47, 198.0, 3.8, 2.032
447 },{ 2.324f, 0.6997f, 216.0f, 1.599f, << 446 },{ 2.324, 0.6997, 216.0, 1.599, 1.399
448 },{ 1.961f, 0.7286f, 223.0f, 1.621f, << 447 },{ 1.961, 0.7286, 223.0, 1.621, 1.296
449 },{ 1.75f, 0.7427f, 350.1f, 0.9789f, << 448 },{ 1.75, 0.7427, 350.1, 0.9789, 0.5507
450 },{ 10.31f, 0.4613f, 261.2f, 4.738f, << 449 },{ 10.31, 0.4613, 261.2, 4.738, 0.9899
451 },{ 7.962f, 0.519f, 235.7f, 4.347f, << 450 },{ 7.962, 0.519, 235.7, 4.347, 1.313
452 },{ 6.227f, 0.5645f, 231.9f, 3.961f, << 451 },{ 6.227, 0.5645, 231.9, 3.961, 1.379
453 },{ 5.246f, 0.5947f, 228.6f, 4.027f, << 452 },{ 5.246, 0.5947, 228.6, 4.027, 1.432
454 // Z= 91-92 453 // Z= 91-92
455 },{ 5.408f, 0.5811f, 235.7f, 3.961f, << 454 },{ 5.408, 0.5811, 235.7, 3.961, 1.358
456 },{ 5.218f, 0.5828f, 245.0f, 3.838f, << 455 },{ 5.218, 0.5828, 245.0, 3.838, 1.25}
457 }; 456 };
458 457
459 G4double slow = (G4double)(a[i][0]); <<
460 <<
461 G4double x1 = (G4double)(a[i][1]); <<
462 G4double x2 = (G4double)(a[i][2]); <<
463 G4double x3 = (G4double)(a[i][3]); <<
464 G4double x4 = (G4double)(a[i][4]); <<
465 <<
466 // Free electron gas model 458 // Free electron gas model
467 if ( T < 0.001 ) { 459 if ( T < 0.001 ) {
468 G4double shigh = G4Log( 1.0 + x3*1000.0 + << 460 G4double slow = a[i][0] ;
469 ionloss = slow*shigh*std::sqrt(T*1000.0) << 461 G4double shigh = log( 1.0 + a[i][3]*1000.0 + a[i][4]*0.001 )
>> 462 * a[i][2]*1000.0 ;
>> 463 ionloss = slow*shigh / (slow + shigh) ;
>> 464 ionloss *= sqrt(T*1000.0) ;
470 465
471 // Main parametrisation 466 // Main parametrisation
472 } else { 467 } else {
473 slow *= G4Exp(G4Log(T*1000.0)*x1); << 468 G4double slow = a[i][0] * pow((T*1000.0), a[i][1]) ;
474 G4double shigh = G4Log( 1.0 + x3/T + x4*T << 469 G4double shigh = log( 1.0 + a[i][3]/T + a[i][4]*T ) * a[i][2]/T ;
475 ionloss = slow*shigh / (slow + shigh) ; 470 ionloss = slow*shigh / (slow + shigh) ;
476 /* 471 /*
477 G4cout << "## " << i << ". T= " << T << " 472 G4cout << "## " << i << ". T= " << T << " slow= " << slow
478 << " a0= " << a[i][0] << " a1= " << 473 << " a0= " << a[i][0] << " a1= " << a[i][1]
479 << " shigh= " << shigh 474 << " shigh= " << shigh
480 << " dedx= " << ionloss << " q^2= " << 475 << " dedx= " << ionloss << " q^2= " << HeEffChargeSquare(z, T*MeV) << G4endl;
481 << G4endl; <<
482 */ 476 */
483 } 477 }
484 ionloss = std::max(ionloss, 0.0); << 478 if ( ionloss < 0.0) ionloss = 0.0 ;
>> 479
>> 480 // He effective charge
>> 481 ionloss /= HeEffChargeSquare(z, T);
>> 482
485 return ionloss; 483 return ionloss;
486 } 484 }
487 485
488 //....oooOO0OOooo........oooOO0OOooo........oo << 486 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
489 487
490 G4double G4BraggIonModel::HeDEDX(const G4Mater << 488 G4double G4BraggIonModel::DEDX(const G4Material* material,
491 const G4double << 489 G4double kineticEnergy)
492 { 490 {
493 // aEnergy is energy of alpha <<
494 G4double eloss = 0.0; 491 G4double eloss = 0.0;
495 // check DB << 492 const G4int numberOfElements = material->GetNumberOfElements();
496 if(material != currentMaterial) { <<
497 currentMaterial = material; <<
498 baseMaterial = material->GetBaseMaterial() <<
499 ? material->GetBaseMaterial() : material <<
500 iPSTAR = -1; <<
501 iASTAR = -1; <<
502 iMolecula = -1; <<
503 iICRU90 = (nullptr != fICRU90) ? fICRU90-> <<
504 <<
505 if(iICRU90 < 0) { <<
506 if(isAlpha) { <<
507 iASTAR = fASTAR->GetIndex(baseMaterial); <<
508 if(iASTAR < 0) { iMolecula = HasMaterialForH <<
509 } else { <<
510 iPSTAR = fPSTAR->GetIndex(baseMaterial); <<
511 } <<
512 } <<
513 /* <<
514 G4cout << "%%% " <<material->GetName() << <<
515 << iMolecula << " iASTAR= " << iAS <<
516 << " iICRU90= " << iICRU90<< G4end <<
517 */ <<
518 } <<
519 // ICRU90 <<
520 if(iICRU90 >= 0) { <<
521 eloss = (isAlpha) <<
522 ? fICRU90->GetElectronicDEDXforAlpha(iIC <<
523 : fICRU90->GetElectronicDEDXforProton(iI <<
524 if(eloss > 0.0) { return eloss*material->G <<
525 } <<
526 // PSTAR parameterisation <<
527 if( iPSTAR >= 0 ) { <<
528 return fPSTAR->GetElectronicDEDX(iPSTAR, a <<
529 *material->GetDensity(); <<
530 } <<
531 // ASTAR <<
532 if( iASTAR >= 0 ) { <<
533 eloss = fASTAR->GetElectronicDEDX(iASTAR, <<
534 /* <<
535 G4cout << "ASTAR: E=" << aEnergy <<
536 << " dedx=" << eloss*material->GetDensity <<
537 << " " << particle->GetParticleName() << <<
538 */ <<
539 if(eloss > 0.0) { return eloss*material->G <<
540 } <<
541 <<
542 const std::size_t numberOfElements = materia <<
543 const G4ElementVector* theElmVector = materi <<
544 const G4double* theAtomicNumDensityVector = 493 const G4double* theAtomicNumDensityVector =
545 material->GetAtomicNumDensityVector(); << 494 material->GetAtomicNumDensityVector();
546 495
547 // molecular data use proton stopping power << 496 // compaund material with parametrisation
548 // element data from ICRU49 include data for << 497 if( HasMaterial(material) ) {
549 if(iMolecula >= 0) { <<
550 const G4double zeff = material->GetTotNbOf <<
551 material->GetTotNbOfAtomsPerVolume(); <<
552 heChargeSquare = HeEffChargeSquare(zeff, a <<
553 eloss = HeStoppingPower(aEnergy)*heChargeS <<
554 498
555 // pure material << 499 eloss = StoppingPower(material, kineticEnergy)*
>> 500 material->GetDensity()/amu;
>> 501
>> 502 // pure material
556 } else if(1 == numberOfElements) { 503 } else if(1 == numberOfElements) {
557 504
558 const G4Element* element = (*theElmVector) << 505 G4double z = material->GetZ();
559 eloss = HeElectronicStoppingPower(element- << 506 eloss = ElectronicStoppingPower(z, kineticEnergy)
560 * (material->GetTotNbOfAtomsPerVolume()) << 507 * (material->GetTotNbOfAtomsPerVolume());
561 508
562 // Brugg's rule calculation 509 // Brugg's rule calculation
563 } else { 510 } else {
>> 511 const G4ElementVector* theElementVector =
>> 512 material->GetElementVector() ;
>> 513
564 // loop for the elements in the material 514 // loop for the elements in the material
565 for (std::size_t i=0; i<numberOfElements; << 515 for (G4int i=0; i<numberOfElements; i++)
566 const G4Element* element = (*theElmVecto << 516 {
567 eloss += HeElectronicStoppingPower(eleme << 517 const G4Element* element = (*theElementVector)[i] ;
568 * theAtomicNumDensityVector[i]; << 518 eloss += ElectronicStoppingPower(element->GetZ(), kineticEnergy)
>> 519 * theAtomicNumDensityVector[i];
569 } 520 }
570 } 521 }
571 return eloss*theZieglerFactor; 522 return eloss*theZieglerFactor;
572 } 523 }
573 524
574 //....oooOO0OOooo........oooOO0OOooo........oo << 525 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
575 526
576 G4double << 527 G4double G4BraggIonModel::HeEffChargeSquare(G4double z, G4double kinEnergyHeInMeV) const
577 G4BraggIonModel::HeEffChargeSquare(const G4dou <<
578 const G4dou <<
579 { 528 {
580 // The aproximation of He effective charge f 529 // The aproximation of He effective charge from:
581 // J.F.Ziegler, J.P. Biersack, U. Littmark 530 // J.F.Ziegler, J.P. Biersack, U. Littmark
582 // The Stopping and Range of Ions in Matter, 531 // The Stopping and Range of Ions in Matter,
583 // Vol.1, Pergamon Press, 1985 532 // Vol.1, Pergamon Press, 1985
584 533
585 static const G4double c[6] = {0.2865, 0.126 << 534 static G4double c[6] = {0.2865, 0.1266, -0.001429,
586 0.02402,-0.011 << 535 0.02402,-0.01135, 0.001475} ;
587 536
588 G4double e = std::max(0.0, G4Log(kinEnergyHe << 537 G4double e = log( max( 1.0, kinEnergyHeInMeV*massFactor));
589 G4double x = c[0] ; 538 G4double x = c[0] ;
590 G4double y = 1.0 ; 539 G4double y = 1.0 ;
591 for (G4int i=1; i<6; ++i) { << 540 for (G4int i=1; i<6; i++) {
592 y *= e; << 541 y *= e ;
593 x += y * c[i]; << 542 x += y * c[i] ;
594 } 543 }
595 544
596 G4double w = 7.6 - e ; 545 G4double w = 7.6 - e ;
597 w = 1.0 + (0.007 + 0.00005*z) * G4Exp( -w*w << 546 w = 1.0 + (0.007 + 0.00005*z) * exp( -w*w ) ;
598 w = 4.0 * (1.0 - G4Exp(-x)) * w * w ; << 547 w = 4.0 * (1.0 - exp(-x)) * w * w ;
599 548
600 return w; 549 return w;
601 } 550 }
602 551
603 //....oooOO0OOooo........oooOO0OOooo........oo << 552 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
604 553
605 554