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geant4/source/processes/electromagnetic/utils/src/G4ionEffectiveCharge.cc
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//
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//
//
// -------------------------------------------------------------------
//
// GEANT4 Class file
//
//
// File name: G4ionEffectiveCharge
//
// Author: Vladimir Ivanchenko
//
// Creation date: 07.05.2002
//
// Modifications:
// 12.09.2004 Set low energy limit to 1 keV (V.Ivanchenko)
// 25.01.2005 Add protection - min Charge 0.1 eplus (V.Ivanchenko)
// 28.04.2006 Set upper energy limit to 50 MeV (V.Ivanchenko)
// 23.05.2006 Set upper energy limit to Z*10 MeV (V.Ivanchenko)
// 15.08.2006 Add protection for not defined material (V.Ivanchenko)
// 27-09-2007 Use Fermi energy from material, optimazed formulas (V.Ivanchenko)
//
// -------------------------------------------------------------------
//
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#include "G4ionEffectiveCharge.hh"
#include "G4PhysicalConstants.hh"
#include "G4SystemOfUnits.hh"
#include "G4UnitsTable.hh"
#include "G4Material.hh"
#include "G4NistManager.hh"
#include "G4Log.hh"
#include "G4Exp.hh"
#include "G4Pow.hh"
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G4ionEffectiveCharge::G4ionEffectiveCharge()
{
chargeCorrection = 1.0;
energyHighLimit = 20.0*MeV;
energyLowLimit = 1.0*keV;
energyBohr = 25.*keV;
massFactor = amu_c2/(proton_mass_c2*keV);
minCharge = 1.0;
lastPart = 0;
lastMat = 0;
lastKinEnergy = 0.0;
effCharge = eplus;
inveplus = 1.0/CLHEP::eplus;
g4calc = G4Pow::GetInstance();
}
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G4ionEffectiveCharge::~G4ionEffectiveCharge()
{}
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G4double G4ionEffectiveCharge::EffectiveCharge(const G4ParticleDefinition* p,
const G4Material* material,
G4double kineticEnergy)
{
if(p == lastPart && material == lastMat && kineticEnergy == lastKinEnergy)
return effCharge;
lastPart = p;
lastMat = material;
lastKinEnergy = kineticEnergy;
G4double mass = p->GetPDGMass();
G4double charge = p->GetPDGCharge();
G4double Zi = charge*inveplus;
chargeCorrection = 1.0;
effCharge = charge;
// The aproximation of ion effective charge from:
// J.F.Ziegler, J.P. Biersack, U. Littmark
// The Stopping and Range of Ions in Matter,
// Vol.1, Pergamon Press, 1985
// Fast ions or hadrons
G4double reducedEnergy = kineticEnergy * proton_mass_c2/mass ;
//G4cout << "e= " << reducedEnergy << " Zi= " << Zi << " "
//<< material->GetName() << G4endl;
if(Zi < 1.5 || !material || reducedEnergy > Zi*energyHighLimit ) {
return charge;
}
G4double z = material->GetIonisation()->GetZeffective();
reducedEnergy = std::max(reducedEnergy,energyLowLimit);
// Helium ion case
if( Zi < 2.5 ) {
static const G4double c[6] =
{0.2865,0.1266,-0.001429,0.02402,-0.01135,0.001475};
G4double Q = std::max(0.0,G4Log(reducedEnergy*massFactor));
G4double x = c[0];
G4double y = 1.0;
for (G4int i=1; i<6; ++i) {
y *= Q;
x += y * c[i] ;
}
G4double ex;
if(x < 0.2) { ex = x * (1 - 0.5*x); }
else { ex = 1. - G4Exp(-x); }
G4double tq = 7.6 - Q;
G4double tq2= tq*tq;
G4double tt = ( 0.007 + 0.00005 * z );
if(tq2 < 0.2) { tt *= (1.0 - tq2 + 0.5*tq2*tq2); }
else { tt *= G4Exp(-tq2); }
effCharge = charge*(1.0 + tt) * std::sqrt(ex);
// Heavy ion case
} else {
G4double y;
G4double zi13 = g4calc->A13(Zi);
G4double zi23 = zi13*zi13;
// v1 is ion velocity in vF unit
G4double eF = material->GetIonisation()->GetFermiEnergy();
G4double v1sq = reducedEnergy/eF;
G4double vFsq = eF/energyBohr;
G4double vF = std::sqrt(eF/energyBohr);
// Faster than Fermi velocity
if ( v1sq > 1.0 ) {
y = vF * std::sqrt(v1sq) * ( 1.0 + 0.2/v1sq ) / zi23 ;
// Slower than Fermi velocity
} else {
y = 0.692308 * vF * (1.0 + 0.666666*v1sq + v1sq*v1sq/15.0) / zi23 ;
}
G4double q;
G4double y3 = std::pow(y, 0.3) ;
// G4cout<<"y= "<<y<<" y3= "<<y3<<" v1= "<<v1<<" vF= "<<vF<<G4endl;
q = 1.0 - G4Exp( 0.803*y3 - 1.3167*y3*y3 - 0.38157*y - 0.008983*y*y);
q = std::max(q, minCharge/Zi);
effCharge = q*charge;
G4double tq = 7.6 - G4Log(reducedEnergy/keV);
G4double tq2= tq*tq;
G4double sq = 1.0 + ( 0.18 + 0.0015 * z )*G4Exp(-tq2)/ (Zi*Zi);
// G4cout << "sq= " << sq << G4endl;
// Screen length according to
// J.F.Ziegler and J.M.Manoyan, The stopping of ions in compaunds,
// Nucl. Inst. & Meth. in Phys. Res. B35 (1988) 215-228.
G4double lambda = 10.0 * vF *g4calc->A23(1.0 - q)/ (zi13 * (6.0 + q));
G4double lambda2 = lambda*lambda;
G4double xx = (0.5/q - 0.5)*G4Log(1.0 + lambda2)/vFsq;
chargeCorrection = sq * (1.0 + xx);
}
// G4cout << "G4ionEffectiveCharge: charge= " << charge << " q= " << q
// << " chargeCor= " << chargeCorrection
// << " e(MeV)= " << kineticEnergy/MeV << G4endl;
return effCharge;
}
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