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>> 26 // $Id: G4ionEffectiveCharge.cc,v 1.17.2.1 2008/04/22 15:28:13 vnivanch Exp $
>> 27 // GEANT4 tag $Name: geant4-09-01-patch-03 $
26 // 28 //
27 // ------------------------------------------- 29 // -------------------------------------------------------------------
28 // 30 //
29 // GEANT4 Class file 31 // GEANT4 Class file
30 // 32 //
31 // 33 //
32 // File name: G4ionEffectiveCharge 34 // File name: G4ionEffectiveCharge
33 // 35 //
34 // Author: Vladimir Ivanchenko 36 // Author: Vladimir Ivanchenko
35 // 37 //
36 // Creation date: 07.05.2002 38 // Creation date: 07.05.2002
37 // 39 //
38 // Modifications: 40 // Modifications:
39 // 12.09.2004 Set low energy limit to 1 keV (V 41 // 12.09.2004 Set low energy limit to 1 keV (V.Ivanchenko)
40 // 25.01.2005 Add protection - min Charge 0.1 42 // 25.01.2005 Add protection - min Charge 0.1 eplus (V.Ivanchenko)
41 // 28.04.2006 Set upper energy limit to 50 MeV 43 // 28.04.2006 Set upper energy limit to 50 MeV (V.Ivanchenko)
42 // 23.05.2006 Set upper energy limit to Z*10 M 44 // 23.05.2006 Set upper energy limit to Z*10 MeV (V.Ivanchenko)
43 // 15.08.2006 Add protection for not defined m 45 // 15.08.2006 Add protection for not defined material (V.Ivanchenko)
44 // 27-09-2007 Use Fermi energy from material, 46 // 27-09-2007 Use Fermi energy from material, optimazed formulas (V.Ivanchenko)
45 // 47 //
46 48
47 // ------------------------------------------- 49 // -------------------------------------------------------------------
48 // 50 //
49 //....oooOO0OOooo........oooOO0OOooo........oo 51 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
50 //....oooOO0OOooo........oooOO0OOooo........oo 52 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
51 53
52 #include "G4ionEffectiveCharge.hh" 54 #include "G4ionEffectiveCharge.hh"
53 #include "G4PhysicalConstants.hh" <<
54 #include "G4SystemOfUnits.hh" <<
55 #include "G4UnitsTable.hh" 55 #include "G4UnitsTable.hh"
>> 56 #include "G4ParticleDefinition.hh"
56 #include "G4Material.hh" 57 #include "G4Material.hh"
57 #include "G4NistManager.hh" <<
58 #include "G4Log.hh" <<
59 #include "G4Exp.hh" <<
60 #include "G4Pow.hh" <<
61 58
62 //....oooOO0OOooo........oooOO0OOooo........oo 59 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
63 60
64 G4ionEffectiveCharge::G4ionEffectiveCharge() 61 G4ionEffectiveCharge::G4ionEffectiveCharge()
65 { 62 {
66 chargeCorrection = 1.0; 63 chargeCorrection = 1.0;
67 energyHighLimit = 20.0*CLHEP::MeV; << 64 energyHighLimit = 10.0*MeV;
68 energyLowLimit = 1.0*CLHEP::keV; << 65 energyLowLimit = 1.0*keV;
69 energyBohr = 25.*CLHEP::keV; << 66 energyBohr = 25.*keV;
70 massFactor = CLHEP::amu_c2/(CLHEP::pro << 67 massFactor = amu_c2/(proton_mass_c2*keV);
71 minCharge = 1.0; << 68 minCharge = 0.1;
72 lastKinEnergy = 0.0; <<
73 effCharge = CLHEP::eplus; <<
74 inveplus = 1.0/CLHEP::eplus; <<
75 g4calc = G4Pow::GetInstance(); <<
76 } 69 }
77 70
78 //....oooOO0OOooo........oooOO0OOooo........oo 71 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
79 72
>> 73 G4ionEffectiveCharge::~G4ionEffectiveCharge()
>> 74 {}
>> 75
>> 76 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
>> 77
80 G4double G4ionEffectiveCharge::EffectiveCharge 78 G4double G4ionEffectiveCharge::EffectiveCharge(const G4ParticleDefinition* p,
81 79 const G4Material* material,
82 << 80 G4double kineticEnergy)
83 { 81 {
84 if(p == lastPart && material == lastMat && k << 82 G4double mass = p->GetPDGMass();
85 return effCharge; << 83 G4double charge = p->GetPDGCharge();
>> 84 G4double Zi = charge/eplus;
86 85
87 lastPart = p; <<
88 lastMat = material; <<
89 lastKinEnergy = kineticEnergy; <<
90 <<
91 G4double mass = p->GetPDGMass(); <<
92 effCharge = p->GetPDGCharge(); <<
93 G4int Zi = G4lrint(effCharge*inveplus); <<
94 chargeCorrection = 1.0; 86 chargeCorrection = 1.0;
95 if(Zi <= 1) { return effCharge; } <<
96 87
97 // The aproximation of ion effective charge 88 // The aproximation of ion effective charge from:
98 // J.F.Ziegler, J.P. Biersack, U. Littmark 89 // J.F.Ziegler, J.P. Biersack, U. Littmark
99 // The Stopping and Range of Ions in Matter, 90 // The Stopping and Range of Ions in Matter,
100 // Vol.1, Pergamon Press, 1985 91 // Vol.1, Pergamon Press, 1985
101 // Fast ions or hadrons 92 // Fast ions or hadrons
102 G4double reducedEnergy = kineticEnergy * CLH << 93 G4double reducedEnergy = kineticEnergy * proton_mass_c2/mass ;
>> 94 if( reducedEnergy > Zi*energyHighLimit || Zi < 1.5 || !material) return charge;
103 95
104 //G4cout << "e= " << reducedEnergy << " Zi= << 96 static G4double c[6] = {0.2865, 0.1266, -0.001429,
105 //<< material->GetName() << G4endl; << 97 0.02402,-0.01135, 0.001475} ;
106 98
107 if(reducedEnergy > effCharge*energyHighLimit << 99 G4double z = material->GetIonisation()->GetZeffective();
108 return effCharge; <<
109 } <<
110 G4double z = material->GetIonisation()->GetZ <<
111 reducedEnergy = std::max(reducedEnergy,energ 100 reducedEnergy = std::max(reducedEnergy,energyLowLimit);
>> 101 G4double q;
112 102
113 // Helium ion case 103 // Helium ion case
114 if( Zi <= 2 ) { << 104 if( Zi < 2.5 ) {
115 105
116 static const G4double c[6] = << 106 G4double Q = std::max(0.0,std::log(reducedEnergy*massFactor));
117 {0.2865,0.1266,-0.001429,0.02402,-0.0113 <<
118 <<
119 G4double Q = std::max(0.0,G4Log(reducedEne <<
120 G4double x = c[0]; 107 G4double x = c[0];
121 G4double y = 1.0; 108 G4double y = 1.0;
122 for (G4int i=1; i<6; ++i) { << 109 for (G4int i=1; i<6; i++) {
123 y *= Q; 110 y *= Q;
124 x += y * c[i] ; 111 x += y * c[i] ;
125 } 112 }
126 G4double ex = (x < 0.2) ? x * (1 - 0.5*x) << 113 G4double ex;
>> 114 if(x < 0.2) ex = x * (1 - 0.5*x);
>> 115 else ex = 1. - std::exp(-x);
127 116
128 G4double tq = 7.6 - Q; 117 G4double tq = 7.6 - Q;
129 G4double tq2= tq*tq; 118 G4double tq2= tq*tq;
130 G4double tt = ( 0.007 + 0.00005 * z ); 119 G4double tt = ( 0.007 + 0.00005 * z );
131 if(tq2 < 0.2) { tt *= (1.0 - tq2 + 0.5*tq2 << 120 if(tq2 < 0.2) tt *= (1.0 - tq2 + 0.5*tq2*tq2);
132 else { tt *= G4Exp(-tq2); } << 121 else tt *= std::exp(-tq2);
133 << 122 q = (1.0 + tt) * std::sqrt(ex);
134 effCharge *= (1.0 + tt) * std::sqrt(ex); <<
135 123
136 // Heavy ion case 124 // Heavy ion case
137 } else { 125 } else {
138 126
139 G4double zi13 = g4calc->Z13(Zi); << 127 G4double z23 = std::pow(z, 0.666666);
>> 128 G4double zi13 = std::pow(Zi, 0.333333);
140 G4double zi23 = zi13*zi13; 129 G4double zi23 = zi13*zi13;
>> 130 G4double e = std::max(reducedEnergy,energyBohr/z23);
141 131
142 // v1 is ion velocity in vF unit 132 // v1 is ion velocity in vF unit
143 G4double eF = material->GetIonisation()- 133 G4double eF = material->GetIonisation()->GetFermiEnergy();
144 G4double v1sq = reducedEnergy/eF; << 134 G4double v1sq = e/eF;
145 G4double vFsq = eF/energyBohr; 135 G4double vFsq = eF/energyBohr;
146 G4double vF = std::sqrt(vFsq); << 136 G4double vF = std::sqrt(vFsq);
>> 137
>> 138 G4double y ;
>> 139
>> 140 // Faster than Fermi velocity
>> 141 if ( v1sq > 1.0 ) {
>> 142 y = vF * std::sqrt(v1sq) * ( 1.0 + 0.2/v1sq ) / zi23 ;
147 143
148 G4double y = ( v1sq > 1.0 ) <<
149 // Faster than Fermi velocity <<
150 ? vF * std::sqrt(v1sq) * ( 1.0 + 0.2/v1s <<
151 // Slower than Fermi velocity 144 // Slower than Fermi velocity
152 : 0.692308 * vF * (1.0 + 0.666666*v1sq + << 145 } else {
>> 146 y = 0.692308 * vF * (1.0 + 0.666666*v1sq + v1sq*v1sq/15.0) / zi23 ;
>> 147 }
>> 148
>> 149 G4double y3 = std::pow(y, 0.3) ;
>> 150 // G4cout << "y= " << y << " y3= " << y3 << " v1= " << v1 << " vF= " << vF << G4endl;
>> 151 q = 1.0 - std::exp( 0.803*y3 - 1.3167*y3*y3 - 0.38157*y - 0.008983*y*y ) ;
>> 152
>> 153 // q = 1.0 - std::exp(-0.95*std::sqrt(reducedEnergy/energyBohr)/zi23);
>> 154
>> 155 G4double qmin = minCharge/Zi;
153 156
154 G4double y3 = G4Exp(0.3*G4Log(y)); << 157 if(q < qmin) q = qmin;
155 // G4cout<<"y= "<<y<<" y3= "<<y3<<" v1= "< <<
156 G4double q = std::max(1.0 - G4Exp( 0.803*y <<
157 - 0.00898 <<
158 158
159 // compute charge correction << 159 G4double tq = 7.6 - std::log(reducedEnergy/keV);
160 G4double tq = 7.6 - G4Log(reducedEnergy/CL <<
161 G4double tq2= tq*tq; 160 G4double tq2= tq*tq;
162 G4double sq = 1.0 + ( 0.18 + 0.0015 * z )* << 161 G4double sq = ( 0.18 + 0.0015 * z ) / (Zi*Zi);
>> 162 if(tq2 < 0.2) sq *= (1.0 - tq2 + 0.5*tq2*tq2);
>> 163 else sq *= std::exp(-tq2);
>> 164 sq += 1.0;
163 // G4cout << "sq= " << sq << G4endl; 165 // G4cout << "sq= " << sq << G4endl;
164 166
165 // Screen length according to 167 // Screen length according to
166 // J.F.Ziegler and J.M.Manoyan, The stoppi 168 // J.F.Ziegler and J.M.Manoyan, The stopping of ions in compaunds,
167 // Nucl. Inst. & Meth. in Phys. Res. B35 ( 169 // Nucl. Inst. & Meth. in Phys. Res. B35 (1988) 215-228.
168 170
169 G4double lambda = 10.0 * vF *g4calc->A23(1 << 171 G4double lambda = 10.0 * vF / (zi13 * (6.0 + q));
>> 172 if(q < 0.2) lambda *= (1.0 - 0.666666*q - q*q/9.0);
>> 173 else lambda *= std::pow(1.0-q, 0.666666);
>> 174
170 G4double lambda2 = lambda*lambda; 175 G4double lambda2 = lambda*lambda;
171 G4double xx = (0.5/q - 0.5)*G4Log(1.0 + la <<
172 176
173 effCharge *= q; << 177 G4double xx = (0.5/q - 0.5)/vFsq;
>> 178 if(lambda2 < 0.2) xx *= lambda2*(1.0 - 0.5*lambda2);
>> 179 else xx *= std::log(1.0 + lambda2);
>> 180
174 chargeCorrection = sq * (1.0 + xx); 181 chargeCorrection = sq * (1.0 + xx);
175 } 182 }
176 // G4cout << "G4ionEffectiveCharge: charge= 183 // G4cout << "G4ionEffectiveCharge: charge= " << charge << " q= " << q
177 // << " chargeCor= " << chargeCorrec 184 // << " chargeCor= " << chargeCorrection
178 // << " e(MeV)= " << kineticEnergy << 185 // << " e(MeV)= " << kineticEnergy/MeV << G4endl;
179 return effCharge; << 186 return q*charge;
180 } 187 }
181 188
182 //....oooOO0OOooo........oooOO0OOooo........oo 189 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
>> 190
>> 191
183 192