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geant4/source/processes/electromagnetic/lowenergy/src/G4hIonEffChargeSquare.cc
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//
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//
//
// -------------------------------------------------------------------
//
// GEANT4 Class file
//
//
// File name: G4hIonEffChargeSquare
//
// Author: V.Ivanchenko (Vladimir.Ivanchenko@cern.ch)
//
// Creation date: 20 July 2000
//
// Modifications:
// 20/07/2000 V.Ivanchenko First implementation
// 18/06/2001 V.Ivanchenko Continuation for eff.charge (small change of y)
// 08/10/2002 V.Ivanchenko The charge of the nucleus is used not charge of
// DynamicParticle
//
// Class Description:
//
// Ion effective charge model
// J.F.Ziegler and J.M.Manoyan, The stopping of ions in compaunds,
// Nucl. Inst. & Meth. in Phys. Res. B35 (1988) 215-228.
//
// Class Description: End
//
// -------------------------------------------------------------------
//
//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
#include "G4hIonEffChargeSquare.hh"
#include "G4PhysicalConstants.hh"
#include "G4SystemOfUnits.hh"
#include "G4DynamicParticle.hh"
#include "G4ParticleDefinition.hh"
#include "G4Material.hh"
#include "G4Element.hh"
#include "G4Exp.hh"
//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
G4hIonEffChargeSquare::G4hIonEffChargeSquare(const G4String& name)
: G4VLowEnergyModel(name),
theHeMassAMU(4.0026)
{;}
//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
G4hIonEffChargeSquare::~G4hIonEffChargeSquare()
{;}
//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
G4double G4hIonEffChargeSquare::TheValue(const G4DynamicParticle* particle,
const G4Material* material)
{
G4double energy = particle->GetKineticEnergy() ;
G4double particleMass = particle->GetMass() ;
G4double charge = (particle->GetDefinition()->GetPDGCharge())/eplus ;
G4double q = IonEffChargeSquare(material,energy,particleMass,charge) ;
return q ;
}
//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
G4double G4hIonEffChargeSquare::TheValue(const G4ParticleDefinition* aParticle,
const G4Material* material,
G4double kineticEnergy)
{
// SetRateMass(aParticle) ;
G4double particleMass = aParticle->GetPDGMass() ;
G4double charge = (aParticle->GetPDGCharge())/eplus ;
G4double q = IonEffChargeSquare(material,kineticEnergy,particleMass,charge) ;
return q ;
}
//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
G4double G4hIonEffChargeSquare::HighEnergyLimit(
const G4ParticleDefinition* ,
const G4Material* ) const
{
return 1.0*TeV ;
}
//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
G4double G4hIonEffChargeSquare::LowEnergyLimit(
const G4ParticleDefinition* ,
const G4Material* ) const
{
return 0.0 ;
}
//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
G4double G4hIonEffChargeSquare::HighEnergyLimit(
const G4ParticleDefinition* ) const
{
return 1.0*TeV ;
}
//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
G4double G4hIonEffChargeSquare::LowEnergyLimit(
const G4ParticleDefinition* ) const
{
return 0.0 ;
}
//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
G4bool G4hIonEffChargeSquare::IsInCharge(const G4DynamicParticle* ,
const G4Material* ) const
{
return true ;
}
//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
G4bool G4hIonEffChargeSquare::IsInCharge(const G4ParticleDefinition* ,
const G4Material* ) const
{
return true ;
}
//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
G4double G4hIonEffChargeSquare::IonEffChargeSquare(
const G4Material* material,
G4double kineticEnergy,
G4double particleMass,
G4double ionCharge) const
{
// 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/particleMass ;
if(reducedEnergy < 1.0*keV) reducedEnergy = 1.0*keV;
if( (reducedEnergy > ionCharge * 10.0 * MeV) ||
(ionCharge < 1.5) ) return ionCharge*ionCharge ;
static const G4double vFermi[92] = {
1.0309, 0.15976, 0.59782, 1.0781, 1.0486, 1.0, 1.058, 0.93942, 0.74562, 0.3424,
0.45259, 0.71074, 0.90519, 0.97411, 0.97184, 0.89852, 0.70827, 0.39816, 0.36552, 0.62712,
0.81707, 0.9943, 1.1423, 1.2381, 1.1222, 0.92705, 1.0047, 1.2, 1.0661, 0.97411,
0.84912, 0.95, 1.0903, 1.0429, 0.49715, 0.37755, 0.35211, 0.57801, 0.77773, 1.0207,
1.029, 1.2542, 1.122, 1.1241, 1.0882, 1.2709, 1.2542, 0.90094, 0.74093, 0.86054,
0.93155, 1.0047, 0.55379, 0.43289, 0.32636, 0.5131, 0.695, 0.72591, 0.71202, 0.67413,
0.71418, 0.71453, 0.5911, 0.70263, 0.68049, 0.68203, 0.68121, 0.68532, 0.68715, 0.61884,
0.71801, 0.83048, 1.1222, 1.2381, 1.045, 1.0733, 1.0953, 1.2381, 1.2879, 0.78654,
0.66401, 0.84912, 0.88433, 0.80746, 0.43357, 0.41923, 0.43638, 0.51464, 0.73087, 0.81065,
1.9578, 1.0257} ;
static const G4double c[6] = {0.2865, 0.1266, -0.001429,
0.02402,-0.01135, 0.001475} ;
// get elements in the actual material,
const G4ElementVector* theElementVector = material->GetElementVector() ;
const G4double* theAtomicNumDensityVector =
material->GetAtomicNumDensityVector() ;
const G4int NumberOfElements = material->GetNumberOfElements() ;
// loop for the elements in the material
// to find out average values Z, vF, lF
G4double z = 0.0, vF = 0.0, norm = 0.0 ;
if( 1 == NumberOfElements ) {
z = material->GetZ() ;
G4int iz = G4int(z) - 1 ;
if(iz < 0) iz = 0 ;
else if(iz > 91) iz = 91 ;
vF = vFermi[iz] ;
} else {
for (G4int iel=0; iel<NumberOfElements; iel++)
{
const G4Element* element = (*theElementVector)[iel] ;
G4double z2 = element->GetZ() ;
const G4double weight = theAtomicNumDensityVector[iel] ;
norm += weight ;
z += z2 * weight ;
G4int iz = G4int(z2) - 1 ;
if(iz < 0) iz = 0 ;
else if(iz > 91) iz =91 ;
vF += vFermi[iz] * weight ;
}
z /= norm ;
vF /= norm ;
}
// Helium ion case
if( ionCharge < 2.5 ) {
G4double e = std::log(std::max(1.0, kineticEnergy / (keV*theHeMassAMU) )) ;
G4double x = c[0] ;
G4double y = 1.0 ;
for (G4int i=1; i<6; i++) {
y *= e ;
x += y * c[i] ;
}
G4double q = 7.6 - e ;
q = 1.0 + ( 0.007 + 0.00005 * z ) * G4Exp( -q*q ) ;
return 4.0 * q * q * (1.0 - G4Exp(-x)) ;
// Heavy ion case
} else {
// v1 is ion velocity in vF unit
G4double v1 = std::sqrt( reducedEnergy / (25.0 * keV) )/ vF ;
G4double y ;
G4double z13 = std::pow(ionCharge, 0.3333) ;
// Faster than Fermi velocity
if ( v1 > 1.0 ) {
y = vF * v1 * ( 1.0 + 0.2 / (v1*v1) ) / (z13*z13) ;
// Slower than Fermi velocity
} else {
y = 0.6923 * vF * (1.0 + 2.0*v1*v1/3.0 + v1*v1*v1*v1/15.0) / (z13*z13) ;
}
G4double y3 = std::pow(y, 0.3) ;
G4double q = 1.0 - G4Exp( 0.803*y3 - 1.3167*y3*y3 -
0.38157*y - 0.008983*y*y ) ;
if( q < 0.0 ) q = 0.0 ;
G4double sLocal = 7.6 - std::log(std::max(1.0, reducedEnergy/keV)) ;
sLocal = 1.0 + ( 0.18 + 0.0015 * z ) * G4Exp( -sLocal*sLocal )/ (ionCharge*ionCharge) ;
// 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 * std::pow(1.0-q, 0.6667) / (z13 * (6.0 + q)) ;
G4double qeff = ionCharge * sLocal *
( q + 0.5*(1.0-q) * std::log(1.0 + lambda*lambda) / (vF*vF) ) ;
if( 0.1 > qeff ) qeff = 0.1 ;
return qeff*qeff ;
}
}