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26 // ------------------------------------------- << 8 // $Id: G4eIonisation.cc,v 1.3.8.1 1999/12/07 20:51:02 gunter Exp $
>> 9 // GEANT4 tag $Name: geant4-01-00 $
27 // 10 //
28 // GEANT4 Class file << 11 //
>> 12 // -------------------------------------------------------------
>> 13 // GEANT 4 class implementation file
29 // 14 //
>> 15 // For information related to this code contact:
>> 16 // CERN, IT Division, ASD group
>> 17 // History: based on object model of
>> 18 // 2nd December 1995, G.Cosmo
>> 19 // ---------- G4eIonisation physics process -----------
>> 20 // by Laszlo Urban, 20 March 1997
>> 21 // **************************************************************
>> 22 // It is the first implementation of the NEW IONISATION PROCESS.
>> 23 // It calculates the ionisation of e+/e-.
>> 24 // **************************************************************
30 // 25 //
31 // File name: G4eIonisation << 26 // 07-04-98: remove 'tracking cut' of the ionizing particle, MMa
32 // << 27 // 04-09-98: new methods SetBining() PrintInfo()
33 // Author: Laszlo Urban << 28 // 07-09-98: Cleanup
34 // << 29 // 02/02/99: correction inDoIt , L.Urban
35 // Creation date: 20.03.1997 << 30 // --------------------------------------------------------------
36 // << 31
37 // Modified by Michel Maire and Vladimir Ivanc <<
38 // <<
39 // ------------------------------------------- <<
40 // <<
41 //....oooOO0OOooo........oooOO0OOooo........oo <<
42 //....oooOO0OOooo........oooOO0OOooo........oo <<
43 32
44 #include "G4eIonisation.hh" 33 #include "G4eIonisation.hh"
45 #include "G4Electron.hh" << 34 #include "G4EnergyLossTables.hh"
46 #include "G4MollerBhabhaModel.hh" << 35 #include "G4ios.hh"
47 #include "G4EmParameters.hh" << 36 #include "G4UnitsTable.hh"
48 #include "G4EmStandUtil.hh" << 37
>> 38 // constructor and destructor
>> 39
>> 40 G4eIonisation::G4eIonisation(const G4String& processName)
>> 41 : G4eEnergyLoss(processName),
>> 42 theMeanFreePathTable(NULL),
>> 43 LowestKineticEnergy(1.*keV),
>> 44 HighestKineticEnergy(100.*TeV),
>> 45 TotBin(100)
>> 46 { }
49 47
50 //....oooOO0OOooo........oooOO0OOooo........oo 48 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
51 49
52 G4eIonisation::G4eIonisation(const G4String& n << 50 G4eIonisation::~G4eIonisation()
53 : G4VEnergyLossProcess(name), <<
54 theElectron(G4Electron::Electron()), <<
55 isElectron(true), <<
56 isInitialised(false) <<
57 { 51 {
58 SetProcessSubType(fIonisation); << 52 if (theMeanFreePathTable) {
59 SetSecondaryParticle(theElectron); << 53 theMeanFreePathTable->clearAndDestroy();
>> 54 delete theMeanFreePathTable;
>> 55 }
>> 56
60 } 57 }
61 58
62 //....oooOO0OOooo........oooOO0OOooo........oo 59 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
63 60
64 G4eIonisation::~G4eIonisation() = default; << 61 void G4eIonisation::SetPhysicsTableBining(G4double lowE, G4double highE, G4int nBins)
>> 62 {
>> 63 LowestKineticEnergy = lowE; HighestKineticEnergy = highE; TotBin = nBins;
>> 64 }
65 65
66 //....oooOO0OOooo........oooOO0OOooo........oo 66 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
67 67
68 G4double G4eIonisation::MinPrimaryEnergy(const << 68 void G4eIonisation::BuildPhysicsTable(const G4ParticleDefinition& aParticleType)
69 const G4Material*, << 69 // just call BuildLossTable+BuildLambdaTable
70 G4double cut) <<
71 { 70 {
72 G4double x = cut; << 71
73 if(isElectron) x += cut; << 72 BuildLossTable(aParticleType) ;
74 return x; << 73
>> 74 if(&aParticleType==G4Electron::Electron())
>> 75 {
>> 76 RecorderOfElectronProcess[CounterOfElectronProcess] = (*this).theLossTable ;
>> 77 CounterOfElectronProcess++;
>> 78 }
>> 79 else
>> 80 {
>> 81 RecorderOfPositronProcess[CounterOfPositronProcess] = (*this).theLossTable ;
>> 82 CounterOfPositronProcess++;
>> 83 }
>> 84
>> 85 BuildLambdaTable(aParticleType) ;
>> 86
>> 87 BuildDEDXTable(aParticleType) ;
>> 88
>> 89 if(&aParticleType==G4Electron::Electron())
>> 90 PrintInfoDefinition();
75 } 91 }
76 92
77 //....oooOO0OOooo........oooOO0OOooo........oo 93 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
78 94
79 G4bool G4eIonisation::IsApplicable(const G4Par << 95 void G4eIonisation::BuildLossTable(const G4ParticleDefinition& aParticleType)
80 { 96 {
81 return (&p == theElectron || &p == G4Positro << 97 // Build tables for the ionization energy loss
>> 98 // the tables are built for *MATERIALS*
>> 99
>> 100 const G4double twoln10 = 2.*log(10.);
>> 101 const G4double Factor = twopi_mc2_rcl2;
>> 102
>> 103 G4double LowEdgeEnergy, ionloss;
>> 104
>> 105 // material properties
>> 106 G4double ElectronDensity,Eexc,Eexcm2,Cden,Mden,Aden,X0den,X1den ;
>> 107 // some local variables
>> 108 G4double tau,Tmax,gamma,gamma2,bg2,beta2,d,d2,d3,d4,delta,x,y ;
>> 109
>> 110 ParticleMass = aParticleType.GetPDGMass();
>> 111 G4double* ParticleCutInKineticEnergy = aParticleType.GetEnergyCuts() ;
>> 112
>> 113 // create table
>> 114
>> 115 const G4MaterialTable* theMaterialTable = G4Material::GetMaterialTable();
>> 116 G4int numOfMaterials = theMaterialTable->length();
>> 117
>> 118 if (theLossTable) { theLossTable->clearAndDestroy();
>> 119 delete theLossTable;
>> 120 }
>> 121
>> 122 theLossTable = new G4PhysicsTable(numOfMaterials);
>> 123
>> 124 // loop for materials
>> 125
>> 126 for (G4int J=0; J<numOfMaterials; J++)
>> 127 {
>> 128 // create physics vector and fill it
>> 129
>> 130 G4PhysicsLogVector* aVector = new G4PhysicsLogVector(
>> 131 LowestKineticEnergy, HighestKineticEnergy, TotBin);
>> 132
>> 133 // get material parameters needed for the energy loss calculation
>> 134 const G4Material* material= (*theMaterialTable)[J];
>> 135
>> 136 ElectronDensity = material->GetElectronDensity();
>> 137 Eexc = material->GetIonisation()->GetMeanExcitationEnergy();
>> 138 Eexc /= ParticleMass; Eexcm2 = Eexc*Eexc;
>> 139 Cden = material->GetIonisation()->GetCdensity();
>> 140 Mden = material->GetIonisation()->GetMdensity();
>> 141 Aden = material->GetIonisation()->GetAdensity();
>> 142 X0den = material->GetIonisation()->GetX0density();
>> 143 X1den = material->GetIonisation()->GetX1density();
>> 144
>> 145 // now comes the loop for the kinetic energy values
>> 146
>> 147 for (G4int i = 0 ; i < TotBin ; i++)
>> 148 {
>> 149 LowEdgeEnergy = aVector->GetLowEdgeEnergy(i) ;
>> 150 tau = LowEdgeEnergy/ParticleMass ;
>> 151
>> 152 // Seltzer-Berger formula
>> 153 gamma = tau + 1.; gamma2 = gamma*gamma;
>> 154 bg2 = tau*(tau+2.);
>> 155 beta2 = bg2/gamma2;
>> 156
>> 157 // electron
>> 158 if (&aParticleType==G4Electron::Electron())
>> 159 {
>> 160 Tmax = LowEdgeEnergy/2.;
>> 161 d = min(ParticleCutInKineticEnergy[J], Tmax)/ParticleMass;
>> 162 ionloss = log(2.*(tau+2.)/Eexcm2)-1.-beta2
>> 163 + log((tau-d)*d)+tau/(tau-d)
>> 164 + (0.5*d*d+(2.*tau+1.)*log(1.-d/tau))/gamma2;
>> 165 }
>> 166 else //positron
>> 167 {
>> 168 Tmax = LowEdgeEnergy ;
>> 169 d = min(ParticleCutInKineticEnergy[J], Tmax)/ParticleMass;
>> 170 d2=d*d/2.; d3=d*d*d/3.; d4=d*d*d*d/4.;
>> 171 y=1./(1.+gamma);
>> 172 ionloss = log(2.*(tau+2.)/Eexcm2)+log(tau*d)
>> 173 - beta2*(tau+2.*d-y*(3.*d2+y*(d-d3+y*(d2-tau*d3+d4))))/tau;
>> 174 }
>> 175
>> 176 //density correction
>> 177 x = log(bg2)/twoln10;
>> 178 if (x < X0den) delta = 0.;
>> 179 else { delta = twoln10*x - Cden;
>> 180 if (x < X1den) delta += Aden*pow((X1den-x),Mden);
>> 181 }
>> 182
>> 183 //now you can compute the total ionization loss
>> 184 ionloss -= delta ;
>> 185 ionloss *= Factor*ElectronDensity/beta2 ;
>> 186 if (ionloss <= 0.) ionloss = 0.;
>> 187
>> 188 aVector->PutValue(i,ionloss) ;
>> 189 }
>> 190 theLossTable->insert(aVector);
>> 191 }
82 } 192 }
83 193
84 //....oooOO0OOooo........oooOO0OOooo........oo 194 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
85 195
86 void G4eIonisation::InitialiseEnergyLossProces << 196 void G4eIonisation::BuildLambdaTable(const G4ParticleDefinition& aParticleType)
87 const G4ParticleDefinition* part, <<
88 const G4ParticleDefinition*) <<
89 { 197 {
90 if(!isInitialised) { << 198 // Build mean free path tables for the delta ray production process
91 if(part != theElectron) { isElectron = fal << 199 // tables are built for MATERIALS
92 if (nullptr == EmModel(0)) { SetEmModel(ne << 200
93 G4EmParameters* param = G4EmParameters::In << 201 G4double LowEdgeEnergy, Value, SIGMA;
94 EmModel(0)->SetLowEnergyLimit(param->MinKi << 202
95 EmModel(0)->SetHighEnergyLimit(param->MaxK << 203 //create table
96 if (nullptr == FluctModel()) { << 204 const G4MaterialTable* theMaterialTable=G4Material::GetMaterialTable();
97 SetFluctModel(G4EmStandUtil::ModelOfFluc << 205 G4int numOfMaterials = theMaterialTable->length();
>> 206
>> 207 if (theMeanFreePathTable) { theMeanFreePathTable->clearAndDestroy();
>> 208 delete theMeanFreePathTable;
>> 209 }
>> 210
>> 211 theMeanFreePathTable = new G4PhysicsTable(numOfMaterials);
>> 212
>> 213 // get electron cuts in kinetic energy
>> 214 G4double* DeltaCutInKineticEnergy = G4Electron::Electron()->GetCutsInEnergy() ;
>> 215
>> 216
>> 217 // loop for materials
>> 218
>> 219 for (G4int J=0 ; J < numOfMaterials; J++)
>> 220 {
>> 221 //create physics vector then fill it ....
>> 222
>> 223 G4PhysicsLogVector* aVector = new G4PhysicsLogVector(
>> 224 LowestKineticEnergy, HighestKineticEnergy, TotBin);
>> 225
>> 226 // compute the (macroscopic) cross section first
>> 227
>> 228 const G4Material* material= (*theMaterialTable)[J];
>> 229 const
>> 230 G4ElementVector* theElementVector = material->GetElementVector();
>> 231 const
>> 232 G4double* theAtomicNumDensityVector = material->GetAtomicNumDensityVector();
>> 233 const
>> 234 G4int NumberOfElements = material->GetNumberOfElements() ;
>> 235
>> 236 // get the electron kinetic energy cut for the actual material,
>> 237 // it will be used in ComputeMicroscopicCrossSection
>> 238 // (--> it will be the same for all the elements in this material )
>> 239 G4double DeltaThreshold = DeltaCutInKineticEnergy[J] ;
>> 240
>> 241 for (G4int i = 0 ; i < TotBin ; i++)
>> 242 {
>> 243 LowEdgeEnergy = aVector->GetLowEdgeEnergy(i) ;
>> 244 SIGMA = 0.;
>> 245 for (G4int iel=0; iel<NumberOfElements; iel++ )
>> 246 {
>> 247 SIGMA += theAtomicNumDensityVector[iel]*
>> 248 ComputeMicroscopicCrossSection( aParticleType,
>> 249 LowEdgeEnergy,
>> 250 (*theElementVector)(iel)->GetZ(),
>> 251 DeltaThreshold);
>> 252 }
>> 253
>> 254 // mean free path = 1./macroscopic cross section
>> 255 Value = SIGMA > DBL_MIN ? 1./SIGMA : DBL_MAX;
>> 256 aVector->PutValue(i, Value) ;
>> 257 }
>> 258 theMeanFreePathTable->insert(aVector);
98 } 259 }
99 AddEmModel(1, EmModel(), FluctModel()); << 260
100 isInitialised = true; <<
101 } <<
102 } 261 }
103 262
104 //....oooOO0OOooo........oooOO0OOooo........oo 263 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
105 264
106 void G4eIonisation::ProcessDescription(std::os << 265 G4double G4eIonisation::ComputeMicroscopicCrossSection(
>> 266 const G4ParticleDefinition& aParticleType,
>> 267 G4double KineticEnergy,
>> 268 G4double AtomicNumber ,
>> 269 G4double DeltaThreshold)
>> 270 {
>> 271 // calculates the microscopic cross section
>> 272 //(it is called for elements , AtomicNumber = Z )
>> 273
>> 274 G4double MaxKineticEnergyTransfer, TotalCrossSection(0.);
>> 275
>> 276 ParticleMass = aParticleType.GetPDGMass();
>> 277 G4double TotalEnergy = KineticEnergy + ParticleMass;
>> 278
>> 279 G4double betasquare = KineticEnergy*(TotalEnergy+ParticleMass)
>> 280 /(TotalEnergy*TotalEnergy);
>> 281 G4double gamma = TotalEnergy/ParticleMass, gamma2 = gamma*gamma;
>> 282 G4double x=DeltaThreshold/KineticEnergy, x2 = x*x;
>> 283
>> 284 if (&aParticleType==G4Electron::Electron())
>> 285 MaxKineticEnergyTransfer = 0.5*KineticEnergy;
>> 286 else MaxKineticEnergyTransfer = KineticEnergy;
>> 287
>> 288 // now you can calculate the total cross section
>> 289
>> 290 if (MaxKineticEnergyTransfer > DeltaThreshold)
>> 291 {
>> 292 if (&aParticleType==G4Electron::Electron()) //Moller (e-e-) scattering
>> 293 {
>> 294 TotalCrossSection = (gamma-1.)*(gamma-1.)*(0.5-x)/gamma2 + 1./x
>> 295 - 1./(1.-x)-(2.*gamma-1.)*log((1.-x)/x)/gamma2;
>> 296 TotalCrossSection /= betasquare;
>> 297 }
>> 298 else //Bhabha (e+e-) scattering
>> 299 {
>> 300 G4double y=1./(1.+gamma), y2 =y*y, y12=1.-2.*y;
>> 301 G4double b1=2.-y2, b2=y12*(3.+y2), b4=y12*y12*y12, b3=b4+y12*y12;
>> 302 TotalCrossSection = (1./x-1.)/betasquare+b1*log(x)+b2*(1.-x)
>> 303 - b3*(1.-x2)/2.+b4*(1.-x2*x)/3.;
>> 304 }
>> 305 TotalCrossSection *= (twopi_mc2_rcl2*AtomicNumber/KineticEnergy);
>> 306 }
>> 307 return TotalCrossSection ;
>> 308 }
>> 309
>> 310 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
>> 311
>> 312 G4VParticleChange* G4eIonisation::PostStepDoIt( const G4Track& trackData,
>> 313 const G4Step& stepData)
107 { 314 {
108 out << " Ionisation"; << 315 aParticleChange.Initialize(trackData) ;
109 G4VEnergyLossProcess::ProcessDescription(out << 316
>> 317 G4Material* aMaterial = trackData.GetMaterial() ;
>> 318 const G4DynamicParticle* aParticle = trackData.GetDynamicParticle() ;
>> 319
>> 320 ParticleMass = aParticle->GetDefinition()->GetPDGMass();
>> 321 G4double KineticEnergy = aParticle->GetKineticEnergy();
>> 322 G4double TotalEnergy = KineticEnergy + ParticleMass;
>> 323 G4double Psquare = KineticEnergy*(TotalEnergy+ParticleMass);
>> 324 G4double TotalMomentum = sqrt(Psquare);
>> 325 G4double Esquare=TotalEnergy*TotalEnergy;
>> 326 G4ParticleMomentum ParticleDirection = aParticle->GetMomentumDirection();
>> 327
>> 328 // get kinetic energy cut for the electron
>> 329 G4double* DeltaCutInKineticEnergy = G4Electron::Electron()->GetCutsInEnergy() ;
>> 330 G4double DeltaThreshold = DeltaCutInKineticEnergy[aMaterial->GetIndex()];
>> 331
>> 332 // some kinematics
>> 333 G4double MaxKineticEnergyTransfer;
>> 334 if (Charge < 0.) MaxKineticEnergyTransfer = 0.5*KineticEnergy;
>> 335 else MaxKineticEnergyTransfer = KineticEnergy;
>> 336
>> 337 // sampling kinetic energy of the delta ray
>> 338
>> 339 if (MaxKineticEnergyTransfer <= DeltaThreshold) // pathological case (should not happen,
>> 340 // there is no change at all)
>> 341 return G4VContinuousDiscreteProcess::PostStepDoIt(trackData,stepData);
>> 342
>> 343
>> 344 // normal case
>> 345 G4double cc,y,y2,c2,b0,b1,b2,b3,b4,x,x1,grej,grejc;
>> 346
>> 347 G4double tau = KineticEnergy/ParticleMass;
>> 348 G4double gamma = tau+1., gamma2=gamma*gamma;
>> 349 G4double xc = DeltaThreshold/KineticEnergy, xc1=1.-xc;
>> 350
>> 351 if (Charge < 0.) // Moller (e-e-) scattering
>> 352 {
>> 353 b1=4./(9.*gamma2-10.*gamma+5.);
>> 354 b2=tau*tau*b1; b3=(2.*gamma2+2.*gamma-1.)*b1;
>> 355 cc=1.-2.*xc;
>> 356 do {
>> 357 x = xc/(1.-cc*G4UniformRand()); x1 = 1.-x;
>> 358 grej = b2*x*x-b3*x/x1+b1*gamma2/(x1*x1);
>> 359 } while (G4UniformRand()>grej) ;
>> 360 }
>> 361 else // Bhabha (e+e-) scattering
>> 362 {
>> 363 y=1./(gamma+1.); y2=y*y; cc=1.-2.*y;
>> 364 b1=2.-y2; b2=cc*(3.+y2);
>> 365 c2=cc*cc; b4=c2*cc; b3=c2+b4;
>> 366 b0=gamma2/(gamma2-1.);
>> 367 grejc=(((b4*xc-b3)*xc+b2)*xc-b1)*xc+b0;
>> 368 do {
>> 369 x = xc/(1.-xc1*G4UniformRand());
>> 370 grej = ((((b4*x-b3)*x+b2)*x-b1)*x+b0)/grejc;
>> 371 } while (G4UniformRand()>grej);
>> 372 }
>> 373
>> 374 G4double DeltaKineticEnergy = x * KineticEnergy;
>> 375
>> 376 // protection :do not produce a secondary with 0. kinetic energy !
>> 377 if (DeltaKineticEnergy <= 0.)
>> 378 return G4VContinuousDiscreteProcess::PostStepDoIt(trackData,stepData);
>> 379
>> 380 G4double DeltaTotalMomentum = sqrt(DeltaKineticEnergy * (DeltaKineticEnergy +
>> 381 2. * electron_mass_c2 ));
>> 382
>> 383 G4double costheta = DeltaKineticEnergy * (TotalEnergy + electron_mass_c2)
>> 384 /(DeltaTotalMomentum * TotalMomentum);
>> 385
>> 386 if (costheta < -1.) costheta = -1.;
>> 387 if (costheta > +1.) costheta = +1.;
>> 388
>> 389 // direction of the delta electron
>> 390
>> 391 G4double phi = twopi * G4UniformRand();
>> 392 G4double sintheta = sqrt((1.+costheta)*(1.-costheta));
>> 393 G4double dirx = sintheta * cos(phi), diry = sintheta * sin(phi), dirz = costheta;
>> 394
>> 395 G4ThreeVector DeltaDirection(dirx,diry,dirz);
>> 396 DeltaDirection.rotateUz(ParticleDirection);
>> 397
>> 398 // create G4DynamicParticle object for delta ray
>> 399
>> 400 G4DynamicParticle* theDeltaRay = new G4DynamicParticle;
>> 401 theDeltaRay->SetKineticEnergy( DeltaKineticEnergy );
>> 402 theDeltaRay->SetMomentumDirection(
>> 403 DeltaDirection.x(),DeltaDirection.y(),DeltaDirection.z());
>> 404 theDeltaRay->SetDefinition(G4Electron::Electron());
>> 405
>> 406 // fill aParticleChange
>> 407 // changed energy and momentum of the actual particle
>> 408 G4double finalKineticEnergy = KineticEnergy - DeltaKineticEnergy;
>> 409
>> 410 G4double Edep = 0. ;
>> 411
>> 412 if (finalKineticEnergy > MinKineticEnergy)
>> 413 {
>> 414 G4double finalPx = TotalMomentum*ParticleDirection.x()
>> 415 - DeltaTotalMomentum*DeltaDirection.x();
>> 416 G4double finalPy = TotalMomentum*ParticleDirection.y()
>> 417 - DeltaTotalMomentum*DeltaDirection.y();
>> 418 G4double finalPz = TotalMomentum*ParticleDirection.z()
>> 419 - DeltaTotalMomentum*DeltaDirection.z();
>> 420 G4double finalMomentum =
>> 421 sqrt(finalPx*finalPx+finalPy*finalPy+finalPz*finalPz) ;
>> 422 finalPx /= finalMomentum ;
>> 423 finalPy /= finalMomentum ;
>> 424 finalPz /= finalMomentum ;
>> 425
>> 426 aParticleChange.SetMomentumChange( finalPx,finalPy,finalPz );
>> 427 }
>> 428 else
>> 429 {
>> 430 finalKineticEnergy = 0.;
>> 431 Edep = finalKineticEnergy ;
>> 432 if (Charge < 0.) aParticleChange.SetStatusChange(fStopAndKill);
>> 433 else aParticleChange.SetStatusChange(fStopButAlive);
>> 434 }
>> 435
>> 436 aParticleChange.SetEnergyChange( finalKineticEnergy );
>> 437 aParticleChange.SetNumberOfSecondaries(1);
>> 438 aParticleChange.AddSecondary( theDeltaRay );
>> 439 aParticleChange.SetLocalEnergyDeposit (Edep);
>> 440
>> 441 return G4VContinuousDiscreteProcess::PostStepDoIt(trackData,stepData);
110 } 442 }
111 443
112 //....oooOO0OOooo........oooOO0OOooo........oo << 444 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
>> 445
>> 446 void G4eIonisation::PrintInfoDefinition()
>> 447 {
>> 448 G4String comments = "delta cross sections from Moller+Bhabha. ";
>> 449 comments += "Good description from 1 KeV to 100 GeV.\n";
>> 450 comments += " delta ray energy sampled from differential Xsection.";
>> 451
>> 452 G4cout << endl << GetProcessName() << ": " << comments
>> 453 << "\n PhysicsTables from " << G4BestUnit(LowestKineticEnergy,"Energy")
>> 454 << " to " << G4BestUnit(HighestKineticEnergy,"Energy")
>> 455 << " in " << TotBin << " bins. \n";
>> 456 }
>> 457
>> 458 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
113 459