Geant4 Cross Reference

Cross-Referencing   Geant4
Geant4/processes/electromagnetic/standard/src/G4IonFluctuations.cc

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Diff markup

Differences between /processes/electromagnetic/standard/src/G4IonFluctuations.cc (Version 11.3.0) and /processes/electromagnetic/standard/src/G4IonFluctuations.cc (Version 11.0)


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 25 //                                                 25 //
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 27 // -------------------------------------------     27 // -------------------------------------------------------------------
 28 //                                                 28 //
 29 // GEANT4 Class file                               29 // GEANT4 Class file
 30 //                                                 30 //
 31 //                                                 31 //
 32 // File name:     G4IonFluctuation                 32 // File name:     G4IonFluctuation
 33 //                                                 33 //
 34 // Author:        Vladimir Ivanchenko              34 // Author:        Vladimir Ivanchenko
 35 //                                                 35 //
 36 // Creation date: 03.01.2002                       36 // Creation date: 03.01.2002
 37 //                                                 37 //
 38 // Modifications:                                  38 // Modifications:
 39 //                                                 39 //
 40 // 28-12-02 add method Dispersion (V.Ivanchenk     40 // 28-12-02 add method Dispersion (V.Ivanchenko)
 41 // 07-02-03 change signature (V.Ivanchenko)        41 // 07-02-03 change signature (V.Ivanchenko)
 42 // 13-02-03 Add name (V.Ivanchenko)                42 // 13-02-03 Add name (V.Ivanchenko)
 43 // 23-05-03 Add control on parthalogical cases     43 // 23-05-03 Add control on parthalogical cases (V.Ivanchenko)
 44 // 16-10-03 Changed interface to Initialisatio     44 // 16-10-03 Changed interface to Initialisation (V.Ivanchenko)
 45 // 27-09-07 Use FermiEnergy from material, add     45 // 27-09-07 Use FermiEnergy from material, add cut dependence (V.Ivanchenko)
 46 // 01-02-08 Add protection for small energies      46 // 01-02-08 Add protection for small energies and optimise the code (V.Ivanchenko)
 47 // 01-06-08 Added initialisation of effective      47 // 01-06-08 Added initialisation of effective charge prestep (V.Ivanchenko)
 48 //                                                 48 //
 49 // Class Description:                              49 // Class Description:
 50 //                                                 50 //
 51 // -------------------------------------------     51 // -------------------------------------------------------------------
 52 //                                                 52 //
 53                                                    53 
 54 //....oooOO0OOooo........oooOO0OOooo........oo     54 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
 55 //....oooOO0OOooo........oooOO0OOooo........oo     55 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
 56                                                    56 
 57 #include "G4IonFluctuations.hh"                    57 #include "G4IonFluctuations.hh"
 58 #include "G4UniversalFluctuation.hh"               58 #include "G4UniversalFluctuation.hh"
 59 #include "G4PhysicalConstants.hh"                  59 #include "G4PhysicalConstants.hh"
 60 #include "G4SystemOfUnits.hh"                      60 #include "G4SystemOfUnits.hh"
 61 #include "Randomize.hh"                            61 #include "Randomize.hh"
 62 #include "G4Poisson.hh"                            62 #include "G4Poisson.hh"
 63 #include "G4MaterialCutsCouple.hh"                 63 #include "G4MaterialCutsCouple.hh"
 64 #include "G4Material.hh"                           64 #include "G4Material.hh"
 65 #include "G4DynamicParticle.hh"                    65 #include "G4DynamicParticle.hh"
 66 #include "G4Pow.hh"                                66 #include "G4Pow.hh"
 67 #include "G4Log.hh"                                67 #include "G4Log.hh"
 68                                                    68 
 69 //....oooOO0OOooo........oooOO0OOooo........oo     69 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
 70                                                    70 
 71 using namespace std;                               71 using namespace std;
 72                                                    72 
 73 G4IonFluctuations::G4IonFluctuations(const G4S     73 G4IonFluctuations::G4IonFluctuations(const G4String& nam)
 74   : G4VEmFluctuationModel(nam),                    74   : G4VEmFluctuationModel(nam),
 75     particleMass(CLHEP::proton_mass_c2),           75     particleMass(CLHEP::proton_mass_c2),
 76     parameter(10.0*CLHEP::MeV/CLHEP::proton_ma     76     parameter(10.0*CLHEP::MeV/CLHEP::proton_mass_c2),
 77     theBohrBeta2(50.0*keV/CLHEP::proton_mass_c     77     theBohrBeta2(50.0*keV/CLHEP::proton_mass_c2),
 78     minLoss(0.001*CLHEP::eV)                       78     minLoss(0.001*CLHEP::eV)
 79 {                                                  79 {
 80   uniFluct = new G4UniversalFluctuation();         80   uniFluct = new G4UniversalFluctuation();
 81   g4calc = G4Pow::GetInstance();                   81   g4calc = G4Pow::GetInstance();
 82 }                                                  82 }
 83                                                    83 
 84 //....oooOO0OOooo........oooOO0OOooo........oo     84 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
 85                                                    85 
 86 G4IonFluctuations::~G4IonFluctuations() = defa <<  86 G4IonFluctuations::~G4IonFluctuations()
                                                   >>  87 {}
 87                                                    88 
 88 //....oooOO0OOooo........oooOO0OOooo........oo     89 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
 89                                                    90 
 90 void G4IonFluctuations::InitialiseMe(const G4P     91 void G4IonFluctuations::InitialiseMe(const G4ParticleDefinition* part)
 91 {                                                  92 {
 92   particle = part;                                 93   particle = part;
 93   particleMass = part->GetPDGMass();               94   particleMass = part->GetPDGMass();
 94   charge = part->GetPDGCharge()/eplus;             95   charge = part->GetPDGCharge()/eplus;
 95   effChargeSquare = chargeSquare = charge*char     96   effChargeSquare = chargeSquare = charge*charge;
 96   uniFluct->InitialiseMe(part);                    97   uniFluct->InitialiseMe(part);
 97 }                                                  98 }
 98                                                    99 
 99 //....oooOO0OOooo........oooOO0OOooo........oo    100 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
100                                                   101 
101 G4double                                          102 G4double 
102 G4IonFluctuations::SampleFluctuations(const G4    103 G4IonFluctuations::SampleFluctuations(const G4MaterialCutsCouple* couple,
103                                       const G4    104                                       const G4DynamicParticle* dp,
104                                       const G4    105                                       const G4double tcut,
105                                       const G4    106                                       const G4double tmax,
106                                       const G4    107                                       const G4double length,
107                                       const G4    108                                       const G4double meanLoss)
108 {                                                 109 {
109   //  G4cout << "### meanLoss= " << meanLoss <    110   //  G4cout << "### meanLoss= " << meanLoss << G4endl;
110   if(meanLoss <= minLoss) return meanLoss;        111   if(meanLoss <= minLoss) return meanLoss;
111                                                   112 
112   //G4cout << "G4IonFluctuations::SampleFluctu    113   //G4cout << "G4IonFluctuations::SampleFluctuations E(MeV)= " 
113   //     << dp->GetKineticEnergy()                114   //     << dp->GetKineticEnergy()
114   //         << "  Elim(MeV)= " << parameter*c    115   //         << "  Elim(MeV)= " << parameter*charge*particleMass << G4endl; 
115                                                   116 
116   // Vavilov fluctuations above energy thresho    117   // Vavilov fluctuations above energy threshold
117   if(dp->GetKineticEnergy() > parameter*charge    118   if(dp->GetKineticEnergy() > parameter*charge*particleMass) {
118     return uniFluct->SampleFluctuations(couple    119     return uniFluct->SampleFluctuations(couple,dp,tcut,tmax,length,meanLoss);
119   }                                               120   }
120                                                   121 
121   const G4Material* material = couple->GetMate    122   const G4Material* material = couple->GetMaterial();
122   G4double siga = Dispersion(material,dp,tcut,    123   G4double siga = Dispersion(material,dp,tcut,tmax,length);
123   G4double loss = meanLoss;                       124   G4double loss = meanLoss;
124                                                   125   
125   //G4cout << "### siga= " << sqrt(siga) << "     126   //G4cout << "### siga= " << sqrt(siga) << "  navr= " << navr << G4endl;
126                                                   127 
127   // Gaussian fluctuation                         128   // Gaussian fluctuation
128                                                   129 
129   // Increase fluctuations for big fractional     130   // Increase fluctuations for big fractional energy loss
130   //G4cout << "siga= " << siga << G4endl;         131   //G4cout << "siga= " << siga << G4endl;
131   if ( meanLoss > minFraction*kineticEnergy )     132   if ( meanLoss > minFraction*kineticEnergy ) {
132     G4double gam = (kineticEnergy - meanLoss)/    133     G4double gam = (kineticEnergy - meanLoss)/particleMass + 1.0;
133     G4double b2  = 1.0 - 1.0/(gam*gam);           134     G4double b2  = 1.0 - 1.0/(gam*gam);
134     if(b2 < xmin*beta2) b2 = xmin*beta2;          135     if(b2 < xmin*beta2) b2 = xmin*beta2;
135     G4double x   = b2/beta2;                      136     G4double x   = b2/beta2;
136     G4double x3  = 1.0/(x*x*x);                   137     G4double x3  = 1.0/(x*x*x);
137     siga *= 0.25*(1.0 + x)*(x3 + (1.0/b2 - 0.5    138     siga *= 0.25*(1.0 + x)*(x3 + (1.0/b2 - 0.5)/(1.0/beta2 - 0.5) );
138   }                                               139   }
139   siga = std::sqrt(siga);                         140   siga = std::sqrt(siga);
140   G4double sn = meanLoss/siga;                    141   G4double sn = meanLoss/siga;
141   G4double twomeanLoss = meanLoss + meanLoss;     142   G4double twomeanLoss = meanLoss + meanLoss;
142   //  G4cout << "siga= " << siga << "  sn= " <    143   //  G4cout << "siga= " << siga << "  sn= " << sn << G4endl;
143                                                   144   
144   CLHEP::HepRandomEngine* rndmEngine = G4Rando    145   CLHEP::HepRandomEngine* rndmEngine = G4Random::getTheEngine();
145   // thick target case                            146   // thick target case  
146   if (sn >= 2.0) {                                147   if (sn >= 2.0) {
147                                                   148 
148     do {                                          149     do {
149       loss = G4RandGauss::shoot(rndmEngine,mea    150       loss = G4RandGauss::shoot(rndmEngine,meanLoss,siga);
150       // Loop checking, 03-Aug-2015, Vladimir     151       // Loop checking, 03-Aug-2015, Vladimir Ivanchenko
151     } while (0.0 > loss || twomeanLoss < loss)    152     } while (0.0 > loss || twomeanLoss < loss);
152                                                   153 
153     // Gamma distribution                         154     // Gamma distribution
154   } else if(sn > 0.1) {                           155   } else if(sn > 0.1) {
155                                                   156 
156     G4double neff = sn*sn;                        157     G4double neff = sn*sn;
157     loss = meanLoss*G4RandGamma::shoot(rndmEng    158     loss = meanLoss*G4RandGamma::shoot(rndmEngine,neff,1.0)/neff;
158                                                   159 
159     // uniform distribution for very small ste    160     // uniform distribution for very small steps
160   } else {                                        161   } else {
161     loss = twomeanLoss*rndmEngine->flat();        162     loss = twomeanLoss*rndmEngine->flat();
162   }                                               163   }
163                                                   164 
164   //G4cout << "meanLoss= " << meanLoss << " lo    165   //G4cout << "meanLoss= " << meanLoss << " loss= " << loss << G4endl;
165   return loss;                                    166   return loss;
166 }                                                 167 }
167                                                   168 
168 //....oooOO0OOooo........oooOO0OOooo........oo    169 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
169                                                   170 
170 G4double G4IonFluctuations::Dispersion(const G    171 G4double G4IonFluctuations::Dispersion(const G4Material* material,
171                                        const G    172                                        const G4DynamicParticle* dp,
172                                        const G    173                                        const G4double tcut,
173                                        const G    174                                        const G4double tmax,
174                                        const G    175                                        const G4double length)
175 {                                                 176 {
176   if(dp->GetDefinition() != particle) { Initia    177   if(dp->GetDefinition() != particle) { InitialiseMe(dp->GetDefinition()); }
177                                                   178 
178   const G4double beta = dp->GetBeta();            179   const G4double beta = dp->GetBeta();
179   kineticEnergy = dp->GetKineticEnergy();         180   kineticEnergy = dp->GetKineticEnergy();
180   beta2 = beta*beta;                              181   beta2 = beta*beta;
181                                                   182 
182   G4double siga = (tmax/beta2 - 0.5*tcut)*CLHE    183   G4double siga = (tmax/beta2 - 0.5*tcut)*CLHEP::twopi_mc2_rcl2*length*
183     material->GetElectronDensity()*effChargeSq    184     material->GetElectronDensity()*effChargeSquare;
184                                                   185 
185   // Low velocity - additional ion charge fluc    186   // Low velocity - additional ion charge fluctuations according to
186   // Q.Yang et al., NIM B61(1991)149-155.         187   // Q.Yang et al., NIM B61(1991)149-155.
187   //G4cout << "sigE= " << sqrt(siga) << " char    188   //G4cout << "sigE= " << sqrt(siga) << " charge= " << charge <<G4endl;
188                                                   189 
189   G4double Z = material->GetIonisation()->GetZ    190   G4double Z = material->GetIonisation()->GetZeffective();
190   G4double fac = Factor(material, Z);             191   G4double fac = Factor(material, Z);
191                                                   192 
192   // heavy ion correction                         193   // heavy ion correction
193   //  G4double f1 = 1.065e-4*chargeSquare;        194   //  G4double f1 = 1.065e-4*chargeSquare;
194   //  if(beta2 > theBohrBeta2)  f1/= beta2;       195   //  if(beta2 > theBohrBeta2)  f1/= beta2;
195   //  else                      f1/= theBohrBe    196   //  else                      f1/= theBohrBeta2;
196   //  if(f1 > 2.5) f1 = 2.5;                      197   //  if(f1 > 2.5) f1 = 2.5;
197   //  fac *= (1.0 + f1);                          198   //  fac *= (1.0 + f1);
198                                                   199 
199   // taking into account the cutg                 200   // taking into account the cutg
200   G4double fac_cut = 1.0 + (fac - 1.0)*2.0*CLH    201   G4double fac_cut = 1.0 + (fac - 1.0)*2.0*CLHEP::electron_mass_c2*beta2
201     /(tmax*(1.0 - beta2));                        202     /(tmax*(1.0 - beta2));
202   if(fac_cut > 0.01 && fac > 0.01) {              203   if(fac_cut > 0.01 && fac > 0.01) {
203     siga *= fac_cut;                              204     siga *= fac_cut;
204   }                                               205   }
205   /*                                              206   /*
206   G4cout << "siga(keV)= " << sqrt(siga)/keV <<    207   G4cout << "siga(keV)= " << sqrt(siga)/keV << " fac= " << fac 
207          << "  f1= " << fac_cut << G4endl;        208          << "  f1= " << fac_cut << G4endl;
208   */                                              209   */
209   return siga;                                    210   return siga;
210 }                                                 211 }
211                                                   212 
212 //....oooOO0OOooo........oooOO0OOooo........oo    213 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
213                                                   214 
214 G4double G4IonFluctuations::Factor(const G4Mat    215 G4double G4IonFluctuations::Factor(const G4Material* material, G4double Z)
215 {                                                 216 {
216   // The aproximation of energy loss fluctuati    217   // The aproximation of energy loss fluctuations
217   // Q.Yang et al., NIM B61(1991)149-155.         218   // Q.Yang et al., NIM B61(1991)149-155.
218                                                   219 
219   // Reduced energy in MeV/AMU                    220   // Reduced energy in MeV/AMU
220   G4double energy = kineticEnergy*CLHEP::amu_c    221   G4double energy = kineticEnergy*CLHEP::amu_c2/(particleMass*CLHEP::MeV);
221                                                   222 
222   // simple approximation for higher beta2        223   // simple approximation for higher beta2
223   G4double s1 = RelativisticFactor(material, Z    224   G4double s1 = RelativisticFactor(material, Z);
224                                                   225 
225   // tabulation for lower beta2                   226   // tabulation for lower beta2
226   if( beta2 < 3.0*theBohrBeta2*Z ) {              227   if( beta2 < 3.0*theBohrBeta2*Z ) {
227                                                   228 
228   static const G4double a[96][4] = {              229   static const G4double a[96][4] = {
229  {-0.3291, -0.8312,  0.2460, -1.0220},            230  {-0.3291, -0.8312,  0.2460, -1.0220},
230  {-0.5615, -0.5898,  0.5205, -0.7258},            231  {-0.5615, -0.5898,  0.5205, -0.7258},
231  {-0.5280, -0.4981,  0.5519, -0.5865},            232  {-0.5280, -0.4981,  0.5519, -0.5865},
232  {-0.5125, -0.4625,  0.5660, -0.5190},            233  {-0.5125, -0.4625,  0.5660, -0.5190},
233  {-0.5127, -0.8595,  0.5626, -0.8721},            234  {-0.5127, -0.8595,  0.5626, -0.8721},
234  {-0.5174, -1.1930,  0.5565, -1.1980},            235  {-0.5174, -1.1930,  0.5565, -1.1980},
235  {-0.5179, -1.1850,  0.5560, -1.2070},            236  {-0.5179, -1.1850,  0.5560, -1.2070},
236  {-0.5209, -0.9355,  0.5590, -1.0250},            237  {-0.5209, -0.9355,  0.5590, -1.0250},
237  {-0.5255, -0.7766,  0.5720, -0.9412},            238  {-0.5255, -0.7766,  0.5720, -0.9412},
238                                                   239 
239  {-0.5776, -0.6665,  0.6598, -0.8484},            240  {-0.5776, -0.6665,  0.6598, -0.8484},
240  {-0.6013, -0.6045,  0.7321, -0.7671},            241  {-0.6013, -0.6045,  0.7321, -0.7671},
241  {-0.5781, -0.5518,  0.7605, -0.6919},            242  {-0.5781, -0.5518,  0.7605, -0.6919},
242  {-0.5587, -0.4981,  0.7835, -0.6195},            243  {-0.5587, -0.4981,  0.7835, -0.6195},
243  {-0.5466, -0.4656,  0.7978, -0.5771},            244  {-0.5466, -0.4656,  0.7978, -0.5771},
244  {-0.5406, -0.4690,  0.8031, -0.5718},            245  {-0.5406, -0.4690,  0.8031, -0.5718},
245  {-0.5391, -0.5061,  0.8024, -0.5974},            246  {-0.5391, -0.5061,  0.8024, -0.5974},
246  {-0.5380, -0.6483,  0.7962, -0.6970},            247  {-0.5380, -0.6483,  0.7962, -0.6970},
247  {-0.5355, -0.7722,  0.7962, -0.7839},            248  {-0.5355, -0.7722,  0.7962, -0.7839},
248  {-0.5329, -0.7720,  0.7988, -0.7846},            249  {-0.5329, -0.7720,  0.7988, -0.7846},
249                                                   250 
250  {-0.5335, -0.7671,  0.7984, -0.7933},            251  {-0.5335, -0.7671,  0.7984, -0.7933},
251  {-0.5324, -0.7612,  0.7998, -0.8031},            252  {-0.5324, -0.7612,  0.7998, -0.8031},
252  {-0.5305, -0.7300,  0.8031, -0.7990},            253  {-0.5305, -0.7300,  0.8031, -0.7990},
253  {-0.5307, -0.7178,  0.8049, -0.8216},            254  {-0.5307, -0.7178,  0.8049, -0.8216},
254  {-0.5248, -0.6621,  0.8165, -0.7919},            255  {-0.5248, -0.6621,  0.8165, -0.7919},
255  {-0.5180, -0.6502,  0.8266, -0.7986},            256  {-0.5180, -0.6502,  0.8266, -0.7986},
256  {-0.5084, -0.6408,  0.8396, -0.8048},            257  {-0.5084, -0.6408,  0.8396, -0.8048},
257  {-0.4967, -0.6331,  0.8549, -0.8093},            258  {-0.4967, -0.6331,  0.8549, -0.8093},
258  {-0.4861, -0.6508,  0.8712, -0.8432},            259  {-0.4861, -0.6508,  0.8712, -0.8432},
259  {-0.4700, -0.6186,  0.8961, -0.8132},            260  {-0.4700, -0.6186,  0.8961, -0.8132},
260                                                   261 
261  {-0.4545, -0.5720,  0.9227, -0.7710},            262  {-0.4545, -0.5720,  0.9227, -0.7710},
262  {-0.4404, -0.5226,  0.9481, -0.7254},            263  {-0.4404, -0.5226,  0.9481, -0.7254},
263  {-0.4288, -0.4778,  0.9701, -0.6850},            264  {-0.4288, -0.4778,  0.9701, -0.6850},
264  {-0.4199, -0.4425,  0.9874, -0.6539},            265  {-0.4199, -0.4425,  0.9874, -0.6539},
265  {-0.4131, -0.4188,  0.9998, -0.6332},            266  {-0.4131, -0.4188,  0.9998, -0.6332},
266  {-0.4089, -0.4057,  1.0070, -0.6218},            267  {-0.4089, -0.4057,  1.0070, -0.6218},
267  {-0.4039, -0.3913,  1.0150, -0.6107},            268  {-0.4039, -0.3913,  1.0150, -0.6107},
268  {-0.3987, -0.3698,  1.0240, -0.5938},            269  {-0.3987, -0.3698,  1.0240, -0.5938},
269  {-0.3977, -0.3608,  1.0260, -0.5852},            270  {-0.3977, -0.3608,  1.0260, -0.5852},
270  {-0.3972, -0.3600,  1.0260, -0.5842},            271  {-0.3972, -0.3600,  1.0260, -0.5842},
271                                                   272 
272  {-0.3985, -0.3803,  1.0200, -0.6013},            273  {-0.3985, -0.3803,  1.0200, -0.6013},
273  {-0.3985, -0.3979,  1.0150, -0.6168},            274  {-0.3985, -0.3979,  1.0150, -0.6168},
274  {-0.3968, -0.3990,  1.0160, -0.6195},            275  {-0.3968, -0.3990,  1.0160, -0.6195},
275  {-0.3971, -0.4432,  1.0050, -0.6591},            276  {-0.3971, -0.4432,  1.0050, -0.6591},
276  {-0.3944, -0.4665,  1.0010, -0.6825},            277  {-0.3944, -0.4665,  1.0010, -0.6825},
277  {-0.3924, -0.5109,  0.9921, -0.7235},            278  {-0.3924, -0.5109,  0.9921, -0.7235},
278  {-0.3882, -0.5158,  0.9947, -0.7343},            279  {-0.3882, -0.5158,  0.9947, -0.7343},
279  {-0.3838, -0.5125,  0.9999, -0.7370},            280  {-0.3838, -0.5125,  0.9999, -0.7370},
280  {-0.3786, -0.4976,  1.0090, -0.7310},            281  {-0.3786, -0.4976,  1.0090, -0.7310},
281  {-0.3741, -0.4738,  1.0200, -0.7155},            282  {-0.3741, -0.4738,  1.0200, -0.7155},
282                                                   283 
283  {-0.3969, -0.4496,  1.0320, -0.6982},            284  {-0.3969, -0.4496,  1.0320, -0.6982},
284  {-0.3663, -0.4297,  1.0430, -0.6828},            285  {-0.3663, -0.4297,  1.0430, -0.6828},
285  {-0.3630, -0.4120,  1.0530, -0.6689},            286  {-0.3630, -0.4120,  1.0530, -0.6689},
286  {-0.3597, -0.3964,  1.0620, -0.6564},            287  {-0.3597, -0.3964,  1.0620, -0.6564},
287  {-0.3555, -0.3809,  1.0720, -0.6454},            288  {-0.3555, -0.3809,  1.0720, -0.6454},
288  {-0.3525, -0.3607,  1.0820, -0.6289},            289  {-0.3525, -0.3607,  1.0820, -0.6289},
289  {-0.3505, -0.3465,  1.0900, -0.6171},            290  {-0.3505, -0.3465,  1.0900, -0.6171},
290  {-0.3397, -0.3570,  1.1020, -0.6384},            291  {-0.3397, -0.3570,  1.1020, -0.6384},
291  {-0.3314, -0.3552,  1.1130, -0.6441},            292  {-0.3314, -0.3552,  1.1130, -0.6441},
292  {-0.3235, -0.3531,  1.1230, -0.6498},            293  {-0.3235, -0.3531,  1.1230, -0.6498},
293                                                   294 
294  {-0.3150, -0.3483,  1.1360, -0.6539},            295  {-0.3150, -0.3483,  1.1360, -0.6539},
295  {-0.3060, -0.3441,  1.1490, -0.6593},            296  {-0.3060, -0.3441,  1.1490, -0.6593},
296  {-0.2968, -0.3396,  1.1630, -0.6649},            297  {-0.2968, -0.3396,  1.1630, -0.6649},
297  {-0.2935, -0.3225,  1.1760, -0.6527},            298  {-0.2935, -0.3225,  1.1760, -0.6527},
298  {-0.2797, -0.3262,  1.1940, -0.6722},            299  {-0.2797, -0.3262,  1.1940, -0.6722},
299  {-0.2704, -0.3202,  1.2100, -0.6770},            300  {-0.2704, -0.3202,  1.2100, -0.6770},
300  {-0.2815, -0.3227,  1.2480, -0.6775},            301  {-0.2815, -0.3227,  1.2480, -0.6775},
301  {-0.2880, -0.3245,  1.2810, -0.6801},            302  {-0.2880, -0.3245,  1.2810, -0.6801},
302  {-0.3034, -0.3263,  1.3270, -0.6778},            303  {-0.3034, -0.3263,  1.3270, -0.6778},
303  {-0.2936, -0.3215,  1.3430, -0.6835},            304  {-0.2936, -0.3215,  1.3430, -0.6835},
304                                                   305 
305  {-0.3282, -0.3200,  1.3980, -0.6650},            306  {-0.3282, -0.3200,  1.3980, -0.6650},
306  {-0.3260, -0.3070,  1.4090, -0.6552},            307  {-0.3260, -0.3070,  1.4090, -0.6552},
307  {-0.3511, -0.3074,  1.4470, -0.6442},            308  {-0.3511, -0.3074,  1.4470, -0.6442},
308  {-0.3501, -0.3064,  1.4500, -0.6442},            309  {-0.3501, -0.3064,  1.4500, -0.6442},
309  {-0.3490, -0.3027,  1.4550, -0.6418},            310  {-0.3490, -0.3027,  1.4550, -0.6418},
310  {-0.3487, -0.3048,  1.4570, -0.6447},            311  {-0.3487, -0.3048,  1.4570, -0.6447},
311  {-0.3478, -0.3074,  1.4600, -0.6483},            312  {-0.3478, -0.3074,  1.4600, -0.6483},
312  {-0.3501, -0.3283,  1.4540, -0.6669},            313  {-0.3501, -0.3283,  1.4540, -0.6669},
313  {-0.3494, -0.3373,  1.4550, -0.6765},            314  {-0.3494, -0.3373,  1.4550, -0.6765},
314  {-0.3485, -0.3373,  1.4570, -0.6774},            315  {-0.3485, -0.3373,  1.4570, -0.6774},
315                                                   316 
316  {-0.3462, -0.3300,  1.4630, -0.6728},            317  {-0.3462, -0.3300,  1.4630, -0.6728},
317  {-0.3462, -0.3225,  1.4690, -0.6662},            318  {-0.3462, -0.3225,  1.4690, -0.6662},
318  {-0.3453, -0.3094,  1.4790, -0.6553},            319  {-0.3453, -0.3094,  1.4790, -0.6553},
319  {-0.3844, -0.3134,  1.5240, -0.6412},            320  {-0.3844, -0.3134,  1.5240, -0.6412},
320  {-0.3848, -0.3018,  1.5310, -0.6303},            321  {-0.3848, -0.3018,  1.5310, -0.6303},
321  {-0.3862, -0.2955,  1.5360, -0.6237},            322  {-0.3862, -0.2955,  1.5360, -0.6237},
322  {-0.4262, -0.2991,  1.5860, -0.6115},            323  {-0.4262, -0.2991,  1.5860, -0.6115},
323  {-0.4278, -0.2910,  1.5900, -0.6029},            324  {-0.4278, -0.2910,  1.5900, -0.6029},
324  {-0.4303, -0.2817,  1.5940, -0.5927},            325  {-0.4303, -0.2817,  1.5940, -0.5927},
325  {-0.4315, -0.2719,  1.6010, -0.5829},            326  {-0.4315, -0.2719,  1.6010, -0.5829},
326                                                   327 
327  {-0.4359, -0.2914,  1.6050, -0.6010},            328  {-0.4359, -0.2914,  1.6050, -0.6010},
328  {-0.4365, -0.2982,  1.6080, -0.6080},            329  {-0.4365, -0.2982,  1.6080, -0.6080},
329  {-0.4253, -0.3037,  1.6120, -0.6150},            330  {-0.4253, -0.3037,  1.6120, -0.6150},
330  {-0.4335, -0.3245,  1.6160, -0.6377},            331  {-0.4335, -0.3245,  1.6160, -0.6377},
331  {-0.4307, -0.3292,  1.6210, -0.6447},            332  {-0.4307, -0.3292,  1.6210, -0.6447},
332  {-0.4284, -0.3204,  1.6290, -0.6380},            333  {-0.4284, -0.3204,  1.6290, -0.6380},
333  {-0.4227, -0.3217,  1.6360, -0.6438}             334  {-0.4227, -0.3217,  1.6360, -0.6438}
334     } ;                                           335     } ;
335                                                   336 
336     G4int iz = G4lrint(Z) - 2;                    337     G4int iz = G4lrint(Z) - 2;
337     if( 0 > iz )      { iz = 0; }                 338     if( 0 > iz )      { iz = 0; }
338     else if(95 < iz ) { iz = 95; }                339     else if(95 < iz ) { iz = 95; }
339                                                   340 
340     const G4double ss = 1.0 + a[iz][0]*g4calc-    341     const G4double ss = 1.0 + a[iz][0]*g4calc->powA(energy,a[iz][1])+
341       + a[iz][2]*g4calc->powA(energy,a[iz][3])    342       + a[iz][2]*g4calc->powA(energy,a[iz][3]);
342                                                   343   
343     // protection for the validity range for l    344     // protection for the validity range for low beta
344     static const G4double slim = 0.001;           345     static const G4double slim = 0.001;
345     if(ss < slim) { s1 = 1.0/slim; }              346     if(ss < slim) { s1 = 1.0/slim; }
346     // for high value of beta                     347     // for high value of beta
347     else if(s1*ss < 1.0) { s1 = 1.0/ss; }         348     else if(s1*ss < 1.0) { s1 = 1.0/ss; }
348   }                                               349   }
349   G4int i = 0 ;                                   350   G4int i = 0 ;
350   G4double factor = 1.0 ;                         351   G4double factor = 1.0 ;
351                                                   352 
352   // The index of set of parameters i = 0 for     353   // The index of set of parameters i = 0 for protons(hadrons) in gases
353   //                                    1 for     354   //                                    1 for protons(hadrons) in solids
354   //                                    2 for     355   //                                    2 for ions in atomic gases
355   //                                    3 for     356   //                                    3 for ions in molecular gases
356   //                                    4 for     357   //                                    4 for ions in solids
357   static const G4double b[5][4] = {               358   static const G4double b[5][4] = {
358   {0.1014,  0.3700,  0.9642,  3.987},             359   {0.1014,  0.3700,  0.9642,  3.987},
359   {0.1955,  0.6941,  2.522,   1.040},             360   {0.1955,  0.6941,  2.522,   1.040},
360   {0.05058, 0.08975, 0.1419, 10.80},              361   {0.05058, 0.08975, 0.1419, 10.80},
361   {0.05009, 0.08660, 0.2751,  3.787},             362   {0.05009, 0.08660, 0.2751,  3.787},
362   {0.01273, 0.03458, 0.3951,  3.812}              363   {0.01273, 0.03458, 0.3951,  3.812}
363   } ;                                             364   } ;
364                                                   365 
365   // protons (hadrons)                            366   // protons (hadrons)
366   if(1.5 > charge) {                              367   if(1.5 > charge) {
367     if( kStateGas != material->GetState() ) {     368     if( kStateGas != material->GetState() ) { i = 1; }
368                                                   369 
369   // ions                                         370   // ions
370   } else {                                        371   } else {
371                                                   372 
372     factor = charge * g4calc->A13(charge/Z);      373     factor = charge * g4calc->A13(charge/Z);
373                                                   374 
374     if( kStateGas == material->GetState() ) {     375     if( kStateGas == material->GetState() ) {
375       energy /= (charge * std::sqrt(charge)) ;    376       energy /= (charge * std::sqrt(charge)) ;
376                                                   377 
377       if(1 == (material->GetNumberOfElements()    378       if(1 == (material->GetNumberOfElements())) {
378         i = 2 ;                                   379         i = 2 ;
379       } else {                                    380       } else {
380         i = 3 ;                                   381         i = 3 ;
381       }                                           382       }
382                                                   383 
383     } else {                                      384     } else {
384       energy /= (charge * std::sqrt(charge*Z))    385       energy /= (charge * std::sqrt(charge*Z)) ;
385       i = 4 ;                                     386       i = 4 ;
386     }                                             387     }
387   }                                               388   }
388                                                   389 
389   G4double x = b[i][2];                           390   G4double x = b[i][2];
390   G4double y = energy * b[i][3];                  391   G4double y = energy * b[i][3];
391   if(y <= 0.2) x *= (y*(1.0 - 0.5*y));            392   if(y <= 0.2) x *= (y*(1.0 - 0.5*y));
392   else         x *= (1.0 - g4calc->expA(-y));     393   else         x *= (1.0 - g4calc->expA(-y));
393                                                   394 
394   y = energy - b[i][1];                           395   y = energy - b[i][1];
395                                                   396 
396   const G4double s2 = factor * x * b[i][0] / (    397   const G4double s2 = factor * x * b[i][0] / (y*y + x*x);
397   /*                                              398   /*  
398   G4cout << "s1= " << s1 << " s2= " << s2 << "    399   G4cout << "s1= " << s1 << " s2= " << s2 << " q^2= " << effChargeSquare 
399          << " e= " << energy << G4endl;           400          << " e= " << energy << G4endl;
400   */                                              401   */
401   return s1*effChargeSquare/chargeSquare + s2;    402   return s1*effChargeSquare/chargeSquare + s2;
402 }                                                 403 }
403                                                   404 
404 //....oooOO0OOooo........oooOO0OOooo........oo    405 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
405                                                   406 
406 G4double G4IonFluctuations::RelativisticFactor    407 G4double G4IonFluctuations::RelativisticFactor(const G4Material* mat, 
407                                                   408                                                G4double Z)
408 {                                                 409 {
409   G4double eF = mat->GetIonisation()->GetFermi    410   G4double eF = mat->GetIonisation()->GetFermiEnergy();
410   G4double I  = mat->GetIonisation()->GetMeanE    411   G4double I  = mat->GetIonisation()->GetMeanExcitationEnergy();
411                                                   412 
412   // H.Geissel et al. NIM B, 195 (2002) 3.        413   // H.Geissel et al. NIM B, 195 (2002) 3.
413   G4double bF2= 2.0*eF/CLHEP::electron_mass_c2    414   G4double bF2= 2.0*eF/CLHEP::electron_mass_c2;
414   G4double f  = 0.4*(1.0 - beta2)/((1.0 - 0.5*    415   G4double f  = 0.4*(1.0 - beta2)/((1.0 - 0.5*beta2)*Z);
415   if(beta2 > bF2) f *= G4Log(2.0*CLHEP::electr    416   if(beta2 > bF2) f *= G4Log(2.0*CLHEP::electron_mass_c2*beta2/I)*bF2/beta2;
416   else            f *= G4Log(4.0*eF/I);           417   else            f *= G4Log(4.0*eF/I);
417                                                   418 
418   //  G4cout << "f= " << f << " beta2= " << be    419   //  G4cout << "f= " << f << " beta2= " << beta2 
419   //         << " bf2= " << bF2 << " q^2= " <<    420   //         << " bf2= " << bF2 << " q^2= " << chargeSquare << G4endl;
420                                                   421 
421   return 1.0 + f;                                 422   return 1.0 + f;
422 }                                                 423 }
423                                                   424 
424 //....oooOO0OOooo........oooOO0OOooo........oo    425 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
425                                                   426 
426 void G4IonFluctuations::SetParticleAndCharge(c    427 void G4IonFluctuations::SetParticleAndCharge(const G4ParticleDefinition* part,
427                                              G    428                                              G4double q2)
428 {                                                 429 {
429   if(part != particle) {                          430   if(part != particle) {
430     particle       = part;                        431     particle       = part;
431     particleMass   = part->GetPDGMass();          432     particleMass   = part->GetPDGMass();
432     charge         = part->GetPDGCharge()/eplu    433     charge         = part->GetPDGCharge()/eplus;
433     chargeSquare   = charge*charge;               434     chargeSquare   = charge*charge;
434   }                                               435   }
435   effChargeSquare = q2;                           436   effChargeSquare = q2;
436   uniFluct->SetParticleAndCharge(part, q2);       437   uniFluct->SetParticleAndCharge(part, q2);
437 }                                                 438 }
438                                                   439 
439 //....oooOO0OOooo........oooOO0OOooo........oo    440 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
440                                                   441