Geant4 11.2.2
Toolkit for the simulation of the passage of particles through matter
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G4AtimaEnergyLossModel.cc
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25//
26// GEANT4 Class header file
27//
28//
29// File name: G4AtimaEnergyLossModel
30//
31// Author: Jose Luis Rodriguez Sanchez on base of ATIMA code
32//
33// Creation date: 16.01.2018
34//
35// Modifications:
36// 09/10/2018: Solved bug in the determination of the material atomic number
37//
38// Class Description:
39//
40// This model calculates the stopping power of ions according
41// to the ATIMA code developed at GSI, Darmstadt, Germany.
42// For details: http://web-docs.gsi.de/~weick/atima/
43//
44// Helmut Weick, GSI (responsible for fortran version)
45// Andrej Prochazka, GSI (responsible for C version)
46// Christoph Scheidenberger, GSI (project coordination)
47//
48// -------------------------------------------------------------------
49//
50//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
51//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
52
53#include "G4AtimaEnergyLossModel.hh"
54#include "Randomize.hh"
55#include "G4PhysicalConstants.hh"
56#include "G4SystemOfUnits.hh"
57#include "G4Electron.hh"
58#include "G4GenericIon.hh"
59#include "G4LossTableManager.hh"
60#include "G4EmCorrections.hh"
61#include "G4ParticleChangeForLoss.hh"
62#include "G4DeltaAngle.hh"
63#include "G4Log.hh"
64#include "G4Exp.hh"
65#include "G4Pow.hh"
66
67//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
68
69using namespace std;
70
71G4double G4AtimaEnergyLossModel::stepE = 0.0;
72G4double G4AtimaEnergyLossModel::tableE[] = {0.0};
73
74G4AtimaEnergyLossModel::G4AtimaEnergyLossModel(const G4ParticleDefinition*,
75 const G4String& nam)
76 : G4VEmModel(nam),
77 particle(nullptr)
78{
79 g4calc = G4Pow::GetInstance();
80 fParticleChange = nullptr;
81 theElectron = G4Electron::Electron();
82 corr = G4LossTableManager::Instance()->EmCorrections();
83 nist = G4NistManager::Instance();
84 SetLowEnergyLimit(2.0*MeV);
85 MLN10 = 2.30258509299;
86 atomic_mass_unit = 931.4940954; // MeV/c^2
87 dedx_constant = 0.3070749187; //4*pi*Na*me*c^2*r_e^2 //MeV cm^2
88 electron_mass = 0.510998928; // MeV/c^2
89 fine_structure = 1.0/137.035999139;
90 domega2dx_constant = dedx_constant*electron_mass; //4*pi*Na*me*c^2*r_e^2 //MeV^2 cm^2
91 if(tableE[0] == 0.0) {
92 G4double logmin = 0.;
93 G4double logmax = 5.;
94 stepE = (logmax-logmin)/199.;
95 for(G4int i=0; i<200; ++i){
96 tableE[i] = G4Exp(MLN10*(logmin + ((G4double)i)*stepE));
97 }
98 }
99}
100
101//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
102
103G4AtimaEnergyLossModel::~G4AtimaEnergyLossModel() = default;
104
105//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
106
107void G4AtimaEnergyLossModel::Initialise(const G4ParticleDefinition* p,
108 const G4DataVector&)
109{
110 SetGenericIon(p);
111 SetParticle(p);
112
113 //G4cout << "G4AtimaEnergyLossModel::Initialise for " << p->GetParticleName()
114 // << " isIon= " << isIon
115 // << G4endl;
116
117 // always false before the run
118 SetDeexcitationFlag(false);
119
120 if(nullptr == fParticleChange) {
121 fParticleChange = GetParticleChangeForLoss();
122 if(UseAngularGeneratorFlag() && !GetAngularDistribution()) {
123 SetAngularDistribution(new G4DeltaAngle());
124 }
125 }
126}
127
128//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
129
130G4double G4AtimaEnergyLossModel::GetChargeSquareRatio(const G4ParticleDefinition* p,
131 const G4Material* mat,
132 G4double kineticEnergy)
133{
134 // this method is called only for ions
135 G4double q2 = corr->EffectiveChargeSquareRatio(p,mat,kineticEnergy);
136 corrFactor = q2*corr->EffectiveChargeCorrection(p,mat,kineticEnergy);
137 return corrFactor;
138}
139
140//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
141
142G4double G4AtimaEnergyLossModel::GetParticleCharge(const G4ParticleDefinition* p,
143 const G4Material* mat,
144 G4double kineticEnergy)
145{
146 //G4cout<<"G4AtimaEnergyLossModel::GetParticleCharge e= "<<kineticEnergy <<
147 // " q= " << corr->GetParticleCharge(p,mat,kineticEnergy) <<G4endl;
148 // this method is called only for ions, so no check if it is an ion
149 return corr->GetParticleCharge(p,mat,kineticEnergy);
150}
151
152//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
153
154void G4AtimaEnergyLossModel::SetupParameters()
155{
156 mass = particle->GetPDGMass();
157 spin = particle->GetPDGSpin();
158 G4double q = particle->GetPDGCharge()/eplus;
159 chargeSquare = q*q;
160 corrFactor = chargeSquare;
161 ratio = electron_mass_c2/mass;
162 static const G4double aMag = 1./(0.5*eplus*hbar_Planck*c_squared);
163 G4double magmom = particle->GetPDGMagneticMoment()*mass*aMag;
164 magMoment2 = magmom*magmom - 1.0;
165 formfact = 0.0;
166 tlimit = DBL_MAX;
167 if(particle->GetLeptonNumber() == 0) {
168 G4int iz = G4lrint(q);
169 if(iz <= 1) {
170 formfact = (spin == 0.0 && mass < GeV) ? 1.181e-6 : 1.548e-6;
171 } else {
172 G4double x = nist->GetA27(iz);
173 formfact = 3.969e-6*x*x;
174 }
175 tlimit = std::sqrt(0.414/formfact +
176 electron_mass_c2*electron_mass_c2) - electron_mass_c2;
177 }
178}
179
180//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
181
187
188//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
189
190G4double
191G4AtimaEnergyLossModel::ComputeCrossSectionPerElectron(const G4ParticleDefinition* p,
192 G4double kineticEnergy,
193 G4double cutEnergy,
194 G4double maxKinEnergy)
195{
196 G4double cross = 0.0;
197 G4double tmax = MaxSecondaryEnergy(p, kineticEnergy);
198 G4double maxEnergy = std::min(tmax,maxKinEnergy);
199 if(cutEnergy < maxEnergy) {
200
201 G4double totEnergy = kineticEnergy + mass;
202 G4double energy2 = totEnergy*totEnergy;
203 G4double beta2 = kineticEnergy*(kineticEnergy + 2.0*mass)/energy2;
204
205 cross = (maxEnergy - cutEnergy)/(cutEnergy*maxEnergy)
206 - beta2*G4Log(maxEnergy/cutEnergy)/tmax;
207
208 // +term for spin=1/2 particle
209 if( 0.0 < spin ) { cross += 0.5*(maxEnergy - cutEnergy)/energy2; }
210
211 cross *= twopi_mc2_rcl2*chargeSquare/beta2;
212 }
213
214 // G4cout << "BB: e= " << kineticEnergy << " tmin= " << cutEnergy
215 // << " tmax= " << tmax << " cross= " << cross << G4endl;
216
217 return cross;
218}
219
220//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
221
222G4double G4AtimaEnergyLossModel::ComputeCrossSectionPerAtom(
223 const G4ParticleDefinition* p,
224 G4double kineticEnergy,
225 G4double Z, G4double,
226 G4double cutEnergy,
227 G4double maxEnergy)
228{
229 G4double cross = Z*ComputeCrossSectionPerElectron
230 (p,kineticEnergy,cutEnergy,maxEnergy);
231 return cross;
232}
233
234//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
235
236G4double G4AtimaEnergyLossModel::CrossSectionPerVolume(
237 const G4Material* material,
238 const G4ParticleDefinition* p,
239 G4double kineticEnergy,
240 G4double cutEnergy,
241 G4double maxEnergy)
242{
243 G4double eDensity = material->GetElectronDensity();
244 G4double cross = eDensity*ComputeCrossSectionPerElectron
245 (p,kineticEnergy,cutEnergy,maxEnergy);
246 return cross;
247}
248
249//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
250
251G4double G4AtimaEnergyLossModel::ComputeDEDXPerVolume(const G4Material* material,
252 const G4ParticleDefinition* p,
253 G4double kineticEnergy,
254 G4double)
255{
256 //Call to ATIMA Stopping Power function
257 G4double zt = material->GetIonisation()->GetZeffective();
258 zt = std::min(zt,93.);
259 G4double at = nist->GetAtomicMassAmu(G4lrint(zt));
260 G4double dedx = StoppingPower(p->GetPDGMass(), p->GetPDGCharge(),
261 kineticEnergy/(MeV), at, zt) *material->GetDensity()/(g/cm3);
262 dedx = std::max(dedx, 0.0);
263
264 // G4cout << "E(MeV)= " << kineticEnergy/MeV << " dedx= " << dedx
265 // << " " << material->GetName() << G4endl;
266 return dedx;
267}
268
269//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
270
271void G4AtimaEnergyLossModel::CorrectionsAlongStep(const G4MaterialCutsCouple* couple,
272 const G4DynamicParticle* dp,
273 const G4double& length,
274 G4double& eloss)
275{
276 if(isIon) {
277 const G4ParticleDefinition* p = dp->GetDefinition();
278 const G4Material* mat = couple->GetMaterial();
279 G4double cutEnergy = DBL_MAX;
280 G4double kineticEnergy = dp->GetKineticEnergy();
281 eloss = ComputeDEDXPerVolume(mat, p, kineticEnergy, cutEnergy)*length/(cm);
282 }
283}
284
285//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
286
287void G4AtimaEnergyLossModel::SampleSecondaries(vector<G4DynamicParticle*>* vdp,
288 const G4MaterialCutsCouple* couple,
289 const G4DynamicParticle* dp,
290 G4double minKinEnergy,
291 G4double maxEnergy)
292{
293 G4double kineticEnergy = dp->GetKineticEnergy();
294 G4double tmax = MaxSecondaryEnergy(dp->GetDefinition(),kineticEnergy);
295
296 G4double maxKinEnergy = std::min(maxEnergy,tmax);
297 if(minKinEnergy >= maxKinEnergy) { return; }
298
299 //G4cout << "G4AtimaEnergyLossModel::SampleSecondaries Emin= " << minKinEnergy
300 // << " Emax= " << maxKinEnergy << G4endl;
301
302 G4double totEnergy = kineticEnergy + mass;
303 G4double etot2 = totEnergy*totEnergy;
304 G4double beta2 = kineticEnergy*(kineticEnergy + 2.0*mass)/etot2;
305
306 G4double deltaKinEnergy, f;
307 G4double f1 = 0.0;
308 G4double fmax = 1.0;
309 if( 0.0 < spin ) { fmax += 0.5*maxKinEnergy*maxKinEnergy/etot2; }
310
311 CLHEP::HepRandomEngine* rndmEngineMod = G4Random::getTheEngine();
312 G4double rndm[2];
313
314 // sampling without nuclear size effect
315 do {
316 rndmEngineMod->flatArray(2, rndm);
317 deltaKinEnergy = minKinEnergy*maxKinEnergy
318 /(minKinEnergy*(1.0 - rndm[0]) + maxKinEnergy*rndm[0]);
319
320 f = 1.0 - beta2*deltaKinEnergy/tmax;
321 if( 0.0 < spin ) {
322 f1 = 0.5*deltaKinEnergy*deltaKinEnergy/etot2;
323 f += f1;
324 }
325
326 // Loop checking, 03-Aug-2015, Vladimir Ivanchenko
327 } while( fmax*rndm[1] > f);
328
329 // projectile formfactor - suppresion of high energy
330 // delta-electron production at high energy
331
332 G4double x = formfact*deltaKinEnergy*(deltaKinEnergy + 2*electron_mass_c2);
333 if(x > 1.e-6) {
334
335 G4double x10 = 1.0 + x;
336 G4double grej = 1.0/(x10*x10);
337 if( 0.0 < spin ) {
338 G4double x2 = 0.5*electron_mass_c2*deltaKinEnergy/(mass*mass);
339 grej *= (1.0 + magMoment2*(x2 - f1/f)/(1.0 + x2));
340 }
341 if(grej > 1.1) {
342 G4cout << "### G4AtimaEnergyLossModel WARNING: grej= " << grej
343 << " " << dp->GetDefinition()->GetParticleName()
344 << " Ekin(MeV)= " << kineticEnergy
345 << " delEkin(MeV)= " << deltaKinEnergy
346 << G4endl;
347 }
348 if(rndmEngineMod->flat() > grej) { return; }
349 }
350
351 G4ThreeVector deltaDirection;
352
353 if(UseAngularGeneratorFlag()) {
354
355 const G4Material* mat = couple->GetMaterial();
356 G4int Z = SelectRandomAtomNumber(mat);
357
358 deltaDirection =
359 GetAngularDistribution()->SampleDirection(dp, deltaKinEnergy, Z, mat);
360
361 } else {
362
363 G4double deltaMomentum =
364 std::sqrt(deltaKinEnergy * (deltaKinEnergy + 2.0*electron_mass_c2));
365 G4double cost = deltaKinEnergy * (totEnergy + electron_mass_c2) /
366 (deltaMomentum * dp->GetTotalMomentum());
367 if(cost > 1.0) { cost = 1.0; }
368 G4double sint = std::sqrt((1.0 - cost)*(1.0 + cost));
369
370 G4double phi = twopi*rndmEngineMod->flat();
371
372 deltaDirection.set(sint*cos(phi),sint*sin(phi), cost) ;
373 deltaDirection.rotateUz(dp->GetMomentumDirection());
374 }
375 /*
376 G4cout << "### G4AtimaEnergyLossModel "
377 << dp->GetDefinition()->GetParticleName()
378 << " Ekin(MeV)= " << kineticEnergy
379 << " delEkin(MeV)= " << deltaKinEnergy
380 << " tmin(MeV)= " << minKinEnergy
381 << " tmax(MeV)= " << maxKinEnergy
382 << " dir= " << dp->GetMomentumDirection()
383 << " dirDelta= " << deltaDirection
384 << G4endl;
385 */
386 // create G4DynamicParticle object for delta ray
387 auto delta = new G4DynamicParticle(theElectron,deltaDirection,deltaKinEnergy);
388
389 vdp->push_back(delta);
390
391 // Change kinematics of primary particle
392 kineticEnergy -= deltaKinEnergy;
393 G4ThreeVector finalP = dp->GetMomentum() - delta->GetMomentum();
394 finalP = finalP.unit();
395
396 fParticleChange->SetProposedKineticEnergy(kineticEnergy);
397 fParticleChange->SetProposedMomentumDirection(finalP);
398}
399
400//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
401
402G4double G4AtimaEnergyLossModel::MaxSecondaryEnergy(const G4ParticleDefinition* pd,
403 G4double kinEnergy)
404{
405 // here particle type is checked for any method
406 SetParticle(pd);
407 G4double tau = kinEnergy/mass;
408 G4double tmax = 2.0*electron_mass_c2*tau*(tau + 2.) /
409 (1. + 2.0*(tau + 1.)*ratio + ratio*ratio);
410 return std::min(tmax,tlimit);
411}
412
413//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
414
415G4double G4AtimaEnergyLossModel::StoppingPower(G4double ap, G4double zp,
416 G4double ep, G4double at, G4double zt){
417 //
418 if(ep==0)return 0.0;
419 ap=ap/atomic_mass_unit;
420 ep=ep/ap;
421 G4double se = 0.0;
422 // ep in MeV
423 if(ep<=10.){
424 se = sezi_dedx_e(zp, ep, at, zt);
425 }
426 else if(ep>10. && ep<30.){
427 G4double factor = 0.05 * ( ep - 10.0 );
428 se = (1.0-factor)*sezi_dedx_e(zp, ep, at, zt) + factor*Bethek_dedx_e(ap, zp, ep, at, zt);
429 }
430 else {
431 se = Bethek_dedx_e(ap, zp, ep, at, zt);
432 }
433 return se + dedx_n(ap, zp, ep, at, zt);
434}
435
436//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
437
438G4double G4AtimaEnergyLossModel::dedx_n(const G4double ap, const G4double zp,
439 const G4double ep, const G4double at, const G4double zt){
440
441 G4double zpowers = g4calc->powA(zp,0.23)+g4calc->powA(zt,0.23);
442 G4double asum = ap + at;
443 G4double epsilon = 32.53*at*1000.*ep*ap/(zp*zt*asum*zpowers); //projectile energy is converted from MeV/u to keV
444 G4double sn=0.;
445
446 if(epsilon<=30.0){
447 sn = G4Log(1.+(1.1383*epsilon))/ (2.*(epsilon + 0.01321*g4calc->powA(epsilon,0.21226) + 0.19593*sqrt(epsilon)));
448 }
449 else{
450 sn = G4Log(epsilon)/(2.*epsilon);
451 }
452 sn = 100.*8.4621*zp*zt*ap*sn*Avogadro/1.e+23/(asum*zpowers*at);
453 return sn;
454}
455
456//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
457
458G4double G4AtimaEnergyLossModel::sezi_dedx_e(const G4double zp, const G4double ep, const G4double at, const G4double zt){
459 G4double e = ep*1000.; // e in keV/u
460 G4double se = 0.;
461
462 // heavy ion Z > 2
463 G4double h1,h4;
464 G4double a,q,b;
465 G4double l1,l0,l;
466 G4double YRmin = 0.130; // YRmin = VR / ZP**0.67 <= 0.13 OR VR <= 1.0
467 G4double VRmin = 1.0;
468 G4double vfermi = atima_vfermi[(G4int)zt-1];
469 G4double yr=0;
470 G4double zeta = 0;
471
472 G4double v = std::sqrt(e/25.0)/vfermi;
473 G4double v2= v*v;
474
475 G4double vr = (v >= 1)? v*vfermi*(1.+ 1./(5.*v2)) : 3.0*vfermi/4.0*(1.0+v2*(2.0/3.0-v2/15.0));
476
477 h1= 1./g4calc->powA(zp,0.6667);
478 yr = std::max(YRmin,vr*h1);
479 yr = std::max(yr, VRmin*h1);
480
481 //-- CALCULATE ZEFF
482 a = -0.803*g4calc->powA(yr,0.3) + 1.3167*g4calc->powA(yr,0.6) + 0.38157*yr + 0.008983*yr*yr;
483 q = std::min(1.0, std::max(0.0 , (1.0 - G4Exp(-std::min(a, 50.0))))); //-- Q = IONIZATION LEVEL OF THE ION AT RELATIVE VELOCITY YR
484
485 //-- IONIZATION LEVEL TO EFFECTIVE CHARGE
486 h1 = 1./g4calc->powA(zp,0.3333);
487
488 b = (std::min(0.43, std::max(0.32,0.12 + 0.025*zp)))*h1;
489 l0 = (0.8 - q * std::min(1.2,0.6 +zp/30.0))*h1;
490 if(q < 0.2){
491 l1 = 0;
492 }
493 else{
494 if (q < std::max(0.0,0.9-0.025*zp)){
495 l1 = b*(q-0.2)/std::abs(std::max(0.0,0.9-0.025*zp)-0.2000001);
496 }
497 else{
498 if(q < std::max(0.0,1.0 - 0.025*std::min(16.,zp))) l1 = b;
499 else l1 = b*(1.0 - q)/(0.025*std::min(16.,zp));
500 }
501 }
502 // calculate screening
503 l = std::max(l1,l0*atima_lambda_screening[(G4int)zp-1]);
504 h1 =4.0*l*vfermi/1.919;
505 zeta = q + (1./(2.*(vfermi*vfermi)))*(1. - q)* G4Log(1. + h1*h1);
506
507 // ZP**3 EFFECT AS IN REF. 779?
508 a = 7.6 - std::max(0.0, G4Log(e));
509 zeta = zeta*(1. + (1./(zp*zp))*(0.18 + .0015*zt)*G4Exp(-a*a));
510
511 h1= 1./g4calc->powA(zp,0.6667);
512 if (yr <= ( std::max(YRmin, VRmin*h1))){
513 VRmin=std::max(VRmin, YRmin/h1);
514 //--C ..CALCULATE VELOCITY STOPPING FOR YR < YRmin
515 G4double vmin =.5*(VRmin + std::sqrt(std::max(0.0,VRmin*VRmin - 0.8*vfermi*vfermi)));
516 G4double eee = 25.0*vmin*vmin;
517 G4double eval = 1.0;
518 if((zt == 6) || (((zt == 14) || (zt == 32)) && (zp <= 19))) eval = 0.35;
519 else eval = 0.5;
520
521 h1 = zeta *zp;
522 h4 = g4calc->powA(e / eee,eval);
523 se = sezi_p_se(eee*0.001,at,zt) * h1*h1*h4;
524 return se;
525 }
526 else {
527 se = sezi_p_se(ep,at,zt)*g4calc->powA(zeta*zp,2.0);
528 return se;
529 }
530
531 return se;
532}
533
534//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
535
536G4double G4AtimaEnergyLossModel::sezi_p_se(const G4double energy, const G4double at, const G4double zt){
537 G4double sp = 0.;
538 G4double e = 1000*energy; //e in keV/u
539 G4int i = zt - 1;
540
541 if(e<=25)e=25;
542 G4double sl = (proton_stopping_coef[i][0]*g4calc->powA(e,proton_stopping_coef[i][1])) + (proton_stopping_coef[i][2]*g4calc->powA(e,proton_stopping_coef[i][3]));
543 G4double sh = proton_stopping_coef[i][4]/g4calc->powA(e,proton_stopping_coef[i][5]) * G4Log( (proton_stopping_coef[i][6]/e) + (proton_stopping_coef[i][7]*e));
544 sp = sl*sh/(sl+sh);
545 e=1000*energy;
546 if(e<=25){
547 sp *=(zt>6)?g4calc->powA(e/25.,0.45):g4calc->powA(e/25.,0.25);
548 }
549 return 100.*sp*Avogadro/1.e+23/at;
550}
551
552
553//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
554
555G4double G4AtimaEnergyLossModel::Bethek_dedx_e(G4double ap, G4double zp, G4double ep, G4double at, G4double zt){
556//
557// According to C. Scheidenberger et al., Phys. Rev. Lett. 73, 50 (1994).
558//
559 G4double gamma=1.0 + ep/atomic_mass_unit;
560 G4double beta2=1.0-1.0/(gamma*gamma);
561 //
562 G4double beta = std::sqrt(beta2);
563 G4double zp_eff = zp*(1.0-G4Exp(-0.95/fine_structure*beta/g4calc->A23(zp)));
564 G4int zi = std::min(std::max((G4int)zt, 1), 120);
565 G4double Ipot = ionisation_potentials_z[zi];
566 G4double f1 = dedx_constant*g4calc->powA(zp_eff,2.)*zt/(beta2*at);
567
568 //
569 G4double f2 = G4Log(2.0*electron_mass*1000000*beta2/Ipot);
570 G4double eta = beta*gamma;
571
572 if(!(eta>=0.13)){ //shell corrections
573 G4double cor = (+0.422377*g4calc->powA(eta,-2.)
574 +0.0304043*g4calc->powA(eta,-4.)
575 -0.00038106*g4calc->powA(eta,-6.))*1e-6*g4calc->powA(Ipot,2.)
576 +(+3.858019*g4calc->powA(eta,-2.)
577 -0.1667989*(g4calc->powA(eta,-4.))
578 +0.00157955*(g4calc->powA(eta,-6.)))*1.0e-9*g4calc->powA(Ipot,3.);
579 f2 = f2 -cor/zt;
580 }
581
582 f2+=2*G4Log(gamma) -beta2;
583
584 //Barkas correction
585 G4double barkas=1.0;
586 G4double V2FVA[4]={0.33,0.30,0.26,0.23};
587 G4double VA[4]={1.,2.,3.,4.};
588 G4double v1 = eta/(fine_structure*std::sqrt(zt));
589 G4double v2fv;
590 if(v1 >= 4.){
591 v2fv = 0.45 / std::sqrt(v1);
592 }
593 else if(v1 > 1. && v1 < 4.){//VALUES FROM THE JACKSON MC CARTHY FUNCTION //PHYS. REV. B 6 4131
594 G4int i=1;
595 for(; i<4; i++){
596 if(VA[i] >= v1) break;
597 }
598 i = std::min(i, 3);
599 v2fv = V2FVA[i-1]+(v1-VA[i-1])*(V2FVA[i]-V2FVA[i-1])/(VA[i]-VA[i-1]);
600 }
601 else{
602 v2fv=0;
603 }
604 barkas= 1.0+2.0 * zp_eff * v2fv /(v1*v1*std::sqrt(zt));
605
606 //Fermi-density effect for relativistic velocities
607 gamma = 1./std::sqrt(1-(beta*beta));
608 G4double x = G4Log(beta * gamma) / 2.302585;
609 G4int i = std::min(std::max(zi-1,0), 91);
610 G4double del = 0.;
611
612 if (x < x0[i] ){
613 if(del_0[i] > 0.)del = del_0[i] * g4calc->powA(10.0,(2.*(x-x0[i])));
614 }
615 else {
616 del = 4.6052 * x - c[i];
617 if ( x0[i]<= x && x <= x1[i] ) del += afermi[i] * g4calc->powA((x1[i] - x),m0[i]);
618 }
619
620 //Precalculated lindhard correction
621 G4double LS = 0.;
622 G4int z = G4lrint(zp);
623 if(z>109)z=109;
624 if(ep<tableE[0])ep=tableE[0];
625
626 G4double da = (ap - element_atomic_weights[z])/element_atomic_weights[z];
627 z = z-1;
628
629 G4double v3 = EnergyTable_interpolate(ep,ls_coefficients_a[z]);
630 G4double v4 = EnergyTable_interpolate(ep,ls_coefficients_ahi[z]);
631 G4double dif = v4 - v3;
632 LS = v3+(dif*da/0.05);
633
634 //Final stopping power
635 G4double result = (f2)*barkas + LS - del/2.;
636 result *=f1;
637
638 return result;
639}
640
641//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
642
643G4double G4AtimaEnergyLossModel::EnergyTable_interpolate(G4double xval,const G4double* y){
644 G4double r;
645 G4int num=200;
646 G4double lxval = G4Log(xval)/MLN10;
647 if(xval<tableE[0] || xval>tableE[num-1])return 0.0;
648 if(xval==tableE[num-1])return y[num-1];
649 G4int i = (G4int)(lxval/stepE);
650 i = std::min(std::max(i, 0), num-2);
651 G4double linstep = tableE[i+1] - tableE[i];
652 G4double x = 1.0 - ((xval - tableE[i])/linstep);
653 r = (x*y[i]) + ((1-x)*y[i+1]);
654 return r;
655}
656
657//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
658
659const G4double G4AtimaEnergyLossModel::proton_stopping_coef[92][8] = { // proton in material stopping coefficient
660{ .0091827, .0053496, .69741, .48493, 316.07,1.0143, 9329.3, .0539890}, //H
661{ .11393, .0051984, 1.0822, .39252, 1081.0, 1.0645, 4068.5, .0176990}, //He
662{ .85837, .0050147, 1.6044, .38844, 1337.3, 1.0470, 2659.2, .01898},
663{ .8781, .0051049, 5.4232, .2032, 1200.6, 1.0211, 1401.8, .0385290},
664{ 1.4608, .0048836, 2.338, .44249, 1801.3, 1.0352, 1784.1, .02024},
665{ 3.2579, .0049148, 2.7156, .36473, 2092.2, 1.0291, 2643.6, .0182370}, //C
666{ .59674, .0050837, 4.2073, .30612, 2394.2, 1.0255, 4892.1, .0160060},
667{ .75253, .0050314, 4.0824, .30067, 2455.8, 1.0181, 5069.7, .0174260}, //O
668{ 1.226, .0051385, 3.2246, .32703, 2525.0, 1.0142, 7563.6, .0194690},
669{ 1.0332, .0051645, 3.004, .33889, 2338.6, .99997, 6991.2, .0217990}, //Ne
670{ 6.0972, .0044292, 3.1929, .45763, 1363.3, .95182, 2380.6, .0818350},
671{14.013, .0043646, 2.2641, .36326, 2187.4, .99098, 6264.8, .0462},
672{ .039001, .0045415, 5.5463, .39562, 1589.2, .95316, 816.16, .0474840},
673{ 2.072, .0044516, 3.5585, .53933, 1515.2, .93161, 1790.3, .0351980},
674{17.575, .0038346, .078694, 1.2388,2806.0, .97284, 1037.6, .0128790},
675{16.126, .0038315, .054164, 1.3104,2813.3, .96587, 1251.4, .0118470},
676{ 3.217, .0044579, 3.6696, .5091, 2734.6, .96253, 2187.5, .0169070},
677{ 2.0379, .0044775, 3.0743, .54773, 3505.0, .97575, 1714.00, .0117010},
678{ .74171, .0043051, 1.1515, .95083, 917.21, .8782, 389.93, .18926},
679{ 9.1316, .0043809, 5.4611, .31327, 3891.8, .97933, 6267.9, .0151960}, //Ca
680{ 7.2247, .0043718, 6.1017, .37511, 2829.2, .95218, 6376.1, .0203980},
681{ .147, .0048456, 6.3485, .41057, 2164.1, .94028, 5292.6, .0502630},
682{ 5.0611, .0039867, 2.6174, .57957, 2218.9, .92361, 6323.00, .0256690},
683{ .53267, .0042968, .39005, 1.2725, 1872.7, .90776, 64.166, .0301070},
684{ .47697, .0043038, .31452, 1.3289, 1920.5, .90649, 45.576, .0274690},
685{ .027426, .0035443, .031563, 2.1755, 1919.5, .90099, 23.902, .0253630},
686{ .16383, .0043042, .073454, 1.8592, 1918.4, .89678, 27.61, .0231840},
687{ 4.2562, .0043737, 1.5606, .72067, 1546.8, .87958, 302.02, .0409440}, //Ni
688{ 2.3508, .0043237, 2.882, .50113, 1837.7, .89992, 2377.00, .04965},
689{ 3.1095, .0038455, .11477, 1.5037, 2184.7, .89309, 67.306, .0165880},
690{15.322, .0040306, .65391, .67668, 3001.7, .92484, 3344.2, .0163660},
691{ 3.6932, .0044813, 8.608, .27638, 2982.7, .9276, 3166.6, .0308740},
692{ 7.1373, .0043134, 9.4247, .27937, 2725.8, .91597, 3166.1, .0250080},
693{ 4.8979, .0042937, 3.7793, .50004, 2824.5, .91028, 1282.4, .0170610},
694{ 1.3683, .0043024, 2.5679, .60822, 6907.8, .9817, 628.01, .0068055},
695{ 1.8301, .0042983, 2.9057, .6038, 4744.6, .94722, 936.64, .0092242},
696{ .42056, .0041169, .01695, 2.3616, 2252.7, .89192, 39.752, .0277570},
697{30.78, .0037736, .55813, .76816, 7113.2, .97697, 1604.4, .0065268},
698{11.576, .0042119, 7.0244, .37764, 4713.5, .94264, 2493.2, .01127},
699{ 6.2406, .0041916, 5.2701, .49453, 4234.6, .93232, 2063.9, .0118440},
700{ .33073, .0041243, 1.7246, 1.1062, 1930.2, .86907, 27.416, .0382080},
701{ .017747, .0041715, .14586, 1.7305,1803.6, .86315, 29.669, .0321230},
702{ 3.7229, .0041768, 4.6286, .56769, 1678.0, .86202, 3094.00, .06244},
703{ .13998, .0041329, .25573, 1.4241, 1919.3, .86326, 72.797, .0322350},
704{ .2859, .0041386, .31301, 1.3424, 1954.8, .86175, 115.18, .0293420},
705{ .76, .0042179, 3.386, .76285, 1867.4, .85805, 69.994, .0364480},
706{ 6.3957, .0041935, 5.4689, .41378, 1712.6, .85397,18493.00, .0564710},
707{ 3.4717, .0041344, 3.2337, .63788, 1116.4, .81959, 4766.0, .1179},
708{ 2.5265, .0042282, 4.532, .53562, 1030.8, .81652,16252.0, .19722},
709{ 7.3683, .0041007, 4.6791, .51428, 1160.0, .82454,17965.0, .13316},
710{ 7.7197, .004388, 3.242, .68434, 1428.1, .83398, 1786.7, .0665120},
711{16.78, .0041918, 9.3198, .29568, 3370.9, .90289, 7431.7, .02616},
712{ 4.2132, .0042098, 4.6753, .57945, 3503.9, .89261, 1468.9, .0143590},
713{ 4.0818, .004214, 4.4425, .58393, 3945.3, .90281, 1340.5, .0134140}, //Xe
714{.18517, .0036215, .00058788,3.5315, 2931.3, .88936, 26.18, .0263930},
715{ 4.8248, .0041458, 6.0934, .57026, 2300.1, .86359, 2980.7, .0386790},
716{ .49857, .0041054, 1.9775, .95877, 786.55, .78509, 806.6, .40882},
717{ 3.2754, .0042177, 5.768, .54054, 6631.3, .94282, 744.07, .0083026},
718{ 2.9978, .0040901, 4.5299, .62025, 2161.2, .85669, 1268.6, .0430310},
719{ 2.8701, .004096, 4.2568, .6138, 2130.4, .85235, 1704.1, .0393850},
720{10.853, .0041149, 5.8907, .46834, 2857.2, .8755, 3654.2, .0299550},
721{ 3.6407, .0041782, 4.8742, .57861, 1267.7, .82211, 3508.2, .24174},
722{17.645, .0040992, 6.5855, .32734, 3931.3, .90754, 5156.7, .0362780},
723{ 7.5309, .0040814, 4.9389, .50679, 2519.7, .85819, 3314.6, .0305140},
724{ 5.4742, .0040829, 4.897, .51113, 2340.1, .85296, 2342.7, .0356620},
725{ 4.2661, .0040667, 4.5032, .55257, 2076.4, .84151, 1666.6, .0408010},
726{ 6.8313, .0040486, 4.3987, .51675, 2003.0, .83437, 1410.4, .03478},
727{ 1.2707, .0040553, 4.6295, .57428, 1626.3, .81858, 995.68, .0553190},
728{ 5.7561, .0040491, 4.357, .52496, 2207.3, .83796, 1579.5, .0271650},
729{14.127, .0040596, 5.8304, .37755, 3645.9, .87823, 3411.8, .0163920},
730{ 6.6948, .0040603, 4.9361, .47961, 2719.0, .85249, 1885.8, .0197130},
731{ 3.0619, .0040511, 3.5803, .59082, 2346.1, .83713, 1222.0, .0200720},
732{10.811, .0033008, 1.3767, .76512, 2003.7, .82269, 1110.6, .0249580},
733{ 2.7101, .0040961, 1.2289, .98598, 1232.4, .79066, 155.42, .0472940},
734{ .52345, .0040244, 1.4038, .8551, 1461.4, .79677, 503.34, .0367890},
735{ .4616, .0040203, 1.3014, .87043, 1473.5, .79687, 443.09, .0363010},
736{ .97814, .0040374, 2.0127, .7225, 1890.8, .81747, 930.7, .02769},
737{ 3.2086, .004051, 3.6658, .53618, 3091.2, .85602, 1508.1, .0154010},
738{ 2.0035, .0040431, 7.4882, .3561, 4464.3, .88836, 3966.5, .0128390},
739{15.43, .0039432, 1.1237, .70703, 4595.7, .88437, 1576.5, .0088534},
740{ 3.1512, .0040524, 4.0996, .5425, 3246.3, .85772, 1691.8, .0150580},
741{ 7.1896, .0040588, 8.6927, .35842, 4760.6, .88833, 2888.3, .0110290}, //Pb
742{ 9.3209, .004054, 11.543, .32027, 4866.2, .89124, 3213.4, .0119350},
743{29.242, .0036195, .16864, 1.1226, 5688.0, .89812, 1033.3, .0071303},
744{ 1.8522, .0039973, 3.1556, .65096, 3755.0, .86383, 1602.0, .0120420},
745{ 3.222, .0040041, 5.9024, .52678, 4040.2, .86804, 1658.4, .0117470},
746{ 9.3412, .0039661, 7.921, .42977, 5180.9, .88773, 2173.2, .0092007},
747{36.183, .0036003, .58341, .86747, 6990.2, .91082, 1417.1, .0062187},
748{ 5.9284, .0039695, 6.4082, .52122, 4619.5, .88083, 2323.5, .0116270},
749{ 5.2454, .0039744, 6.7969, .48542, 4586.3, .87794, 2481.5, .0112820},
750{33.702, .0036901, .47257, .89235, 5295.7, .8893, 2053.3, .0091908},
751{2.7589, .0039806, 3.2092, .66122, 2505.4, .82863, 2065.1, .0228160} //U
752};
753
754//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
755
756const G4double G4AtimaEnergyLossModel::atima_vfermi[92] = {
7571.0309,
7580.15976,
7590.59782,
7601.0781,
7611.0486,
7621.00,
7631.058,
7640.93942,
7650.74562,
7660.3424,
7670.45259,
7680.71074,
7690.90519,
7700.97411,
7710.97184,
7720.89852,
7730.70827,
7740.39816,
7750.36552,
7760.62712,
7770.81707,
7780.9943,
7791.1423,
7801.2381,
7811.1222,
7820.92705,
7831.0047,
7841.2,
7851.0661,
7860.97411,
7870.84912,
7880.95,
7891.0903,
7901.0429,
7910.49715,
7920.37755,
7930.35211,
7940.57801,
7950.77773,
7961.0207,
7971.029,
7981.2542,
7991.122,
8001.1241,
8011.0882,
8021.2709,
8031.2542,
8040.90094,
8050.74093,
8060.86054,
8070.93155,
8081.0047,
8090.55379,
8100.43289,
8110.32636,
8120.5131,
8130.6950,
8140.72591,
8150.71202,
8160.67413,
8170.71418,
8180.71453,
8190.5911,
8200.70263,
8210.68049,
8220.68203,
8230.68121,
8240.68532,
8250.68715,
8260.61884,
8270.71801,
8280.83048,
8291.1222,
8301.2381,
8311.045,
8321.0733,
8331.0953,
8341.2381,
8351.2879,
8360.78654,
8370.66401,
8380.84912,
8390.88433,
8400.80746,
8410.43357,
8420.41923,
8430.43638,
8440.51464,
8450.73087,
8460.81065,
8471.9578,
8481.0257
849};
850
851//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
852
853const G4double G4AtimaEnergyLossModel::atima_lambda_screening[92]= {
854 1.00,
855 1.00,
856 1.10,
857 1.06,
858 1.01,
859 1.03,
860 1.04,
861 0.99,
862 0.95,
863 0.90,
864 0.82,
865 0.81,
866 0.83,
867 0.88,
868 1.00,
869 0.95,
870 0.97,
871 0.99,
872 0.98,
873 0.97,
874 0.98,
875 0.97,
876 0.96,
877 0.93,
878 0.91,
879 0.9,
880 0.88,
881 0.9,
882 0.9,
883 0.9,
884 0.9,
885 0.85,
886 0.9,
887 0.9,
888 0.91,
889 0.92,
890 0.9,
891 0.9,
892 0.9,
893 0.9,
894 0.9,
895 0.88,
896 0.9,
897 0.88,
898 0.88,
899 0.9,
900 0.9,
901 0.88,
902 0.9,
903 0.9,
904 0.9,
905 0.9,
906 0.96,
907 1.2,
908 0.9,
909 0.88,
910 0.88,
911 0.85,
912 0.90,
913 0.90,
914 0.92,
915 0.95,
916 0.99,
917 1.03,
918 1.05,
919 1.07,
920 1.08,
921 1.10,
922 1.08,
923 1.08,
924 1.08,
925 1.08,
926 1.09,
927 1.09,
928 1.10,
929 1.11,
930 1.12,
931 1.13,
932 1.14,
933 1.15,
934 1.17,
935 1.20,
936 1.18,
937 1.17,
938 1.17,
939 1.16,
940 1.16,
941 1.16,
942 1.16,
943 1.16,
944 1.16,
945 1.16
946};
947
948//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
949
950const G4double G4AtimaEnergyLossModel::element_atomic_weights[110]={
951 0.0,
952 1.00794, //H
953 4.0026, //He
954 6.941, //Li
955 9.01218, //Be
956 10.811, //B
957 12.0107, //C
958 14.0067, //N
959 15.9994, //O
960 18.9984, //F
961 20.1797, //Ne
962 22.9898, //Na
963 24.305, //Mg
964 26.9815, //Al
965 28.0855, //Si
966 30.9738, //P
967 32.065, //S
968 35.453, //Cl
969 39.948, //Ar
970 39.0983, //K
971 40.078, //Ca
972 44.9559, //Sc
973 47.867, //Ti
974 50.9415, //V
975 51.9961, //Cr
976 54.938, //Mn
977 55.845, //Fe
978 58.9332, //Co
979 58.6934, //Ni
980 63.546, //Cu
981 65.409, //Zn
982 69.723, //Ga
983 72.64, //Ge
984 74.9216, //As
985 78.96, //Se
986 79.904, //Br
987 83.798, //Kr
988 85.4678, //Rb
989 87.62, //Sr
990 88.9059, //Y
991 91.224, //Zr
992 92.9064, //Nb
993 95.94, //Mo
994 97.9072, //Tc
995 101.07, //Ru
996 102.906, //Rh
997 106.42, //Pd
998 107.868, //Ag
999 112.411, //Cd
1000 114.818, //In
1001 118.71, //Sn
1002 121.76, //Sb
1003 127.6, //Te
1004 126.904, //I
1005 131.293, //Xe
1006 132.905, //Cs
1007 137.327, //Ba
1008 138.905, //La
1009 140.116, //Ce
1010 140.908, //Pr
1011 144.24, //Nd
1012 144.913, //Pm
1013 150.36, //Sm
1014 151.964, //Eu
1015 157.25, //Gd
1016 158.925, //Tb
1017 162.5, //Dy
1018 164.93, //Ho
1019 167.259, //Er
1020 168.934, //Tm
1021 173.04, //Yb
1022 174.967, //Lu
1023 178.49, //Hf
1024 180.948, //Ta
1025 183.84, //W
1026 186.207, //Re
1027 190.23, //Os
1028 192.217, //Ir
1029 195.078, //Pt
1030 196.967, //Au
1031 200.59, //Hg
1032 204.383, //Tl
1033 207.2, //Pb
1034 208.98, //Bi
1035 208.982, //Po
1036 209.987, //At
1037 222.018, //Rn
1038 223.02, //Fr
1039 226.025, //Ra
1040 227.028, //Ac
1041 232.038, //Th
1042 231.036, //Pa
1043 238.029, //U
1044 237.048, //Np
1045 244.064, //Pu
1046 243.061, //Am
1047 247.07, //Cm
1048 247.07, //Bk
1049 251.08, //Cf
1050 252.083, //Es
1051 257.095, //Fm
1052 258.098, //Md
1053 259.101, //No
1054 262.11, //Lr
1055 261.109, //Rf
1056 262.114, //Db
1057 266.122, //Sg
1058 264.125, //Bh
1059 269.134, //Hs
1060 268.139 //Mt
1061};
1062
1063//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
1064
1065//LS coefficient for A=atomic weight
1066const G4double G4AtimaEnergyLossModel::ls_coefficients_a[110][200]=
1067{ {-0.0286005,-0.0269762,-0.0254384,-0.0239826,-0.0226044,-0.0212998,-0.0200648,-0.0188958,-0.0177891,-0.0167414,-0.0157495,-0.0148105,-0.0139213,-0.0130793,-0.0122818,-0.0115265,-0.0108109,-0.0101329,-0.00949027,-0.00888115,-0.0083036,-0.00775583,-0.00723615,-0.00674295,-0.0062747,-0.00582996,-0.00540738,-0.00500564,-0.00462353,-0.00425989,-0.00391361,-0.00358365,-0.00326903,-0.0029688,-0.00268208,-0.00240803,-0.00214586,-0.00189481,-0.00165416,-0.00142324,-0.0012014,-0.000988038,-0.000782569,-0.000584449,-0.000393155,-0.000208196,-2.91012e-05,0.000144572,0.000313247,0.000477324,0.000637183,0.000793185,0.000945673,0.00109497,0.0012414,0.00138523,0.00152676,0.00166625,0.00180395,0.00194009,0.0020749,0.0022086,0.00234139,0.00247346,0.00260498,0.00273612,0.00286706,0.00299792,0.00312886,0.00325999,0.00339145,0.00352333,0.00365574,0.00378876,0.00392249,0.00405698,0.00419229,0.00432849,0.0044656,0.00460367,0.0047427,0.00488271,0.00502369,0.00516564,0.00530853,0.00545232,0.00559697,0.00574243,0.00588862,0.00603547,0.00618289,0.00633076,0.00647899,0.00662745,0.006776,0.00692451,0.00707282,0.00722077,0.00736819,0.00751491,0.00766074,0.0078055,0.007949,0.00809104,0.00823143,0.00836998,0.00850649,0.00864077,0.00877264,0.0089019,0.0090284,0.00915196,0.00927243,0.00938966,0.00950352,0.00961389,0.00972066,0.00982374,0.00992306,0.0100185,0.0101102,0.0101979,0.0102817,0.0103616,0.0104376,0.0105097,0.010578,0.0106425,0.0107033,0.0107605,0.0108141,0.0108643,0.0109111,0.0109547,0.0109951,0.0110324,0.0110669,0.0110984,0.0111273,0.0111535,0.0111772,0.0111984,0.0112173,0.0112339,0.0112483,0.0112605,0.0112705,0.0112785,0.0112844,0.0112882,0.0112899,0.0112895,0.0112869,0.0112821,0.0112749,0.0112652,0.011253,0.011238,0.01122,0.0111988,0.011174,0.0111455,0.0111127,0.0110753,0.0110328,0.0109847,0.0109303,0.0108689,0.0107998,0.010722,0.0106346,0.0105364,0.0104261,0.0103024,0.0101636,0.0100079,0.00983338,0.00963767,0.00941827,0.0091723,0.0088966,0.00858758,0.00824121,0.00785299,0.00741787,0.0069302,0.00638364,0.00577111,0.00508464,0.00431533,0.00345395,0.00248834,0.00140654,0.000194686,-0.00116268,-0.00268283,-0.00438502,-0.00629005,-0.00842259,-0.0108087},
1068 {-0.108683,-0.102922,-0.097437,-0.0922162,-0.0872489,-0.0825243,-0.0780321,-0.073762,-0.0697043,-0.0658493,-0.0621879,-0.0587109,-0.0554098,-0.0522762,-0.049302,-0.0464796,-0.0438014,-0.0412604,-0.0388496,-0.0365626,-0.0343929,-0.0323346,-0.0303819,-0.0285294,-0.0267717,-0.0251038,-0.023521,-0.0220186,-0.0205924,-0.0192382,-0.017952,-0.0167301,-0.015569,-0.0144651,-0.0134154,-0.0124167,-0.011466,-0.0105607,-0.00969814,-0.00887572,-0.00809112,-0.00734207,-0.00662644,-0.00594219,-0.00528738,-0.00466019,-0.00405889,-0.00348181,-0.00292739,-0.00239414,-0.00188067,-0.00138562,-0.000907732,-0.000445801,1.31405e-06,0.000434696,0.000855371,0.00126431,0.00166244,0.00205062,0.0024297,0.00280044,0.00316359,0.00351985,0.00386987,0.00421428,0.00455367,0.00488858,0.00521953,0.00554701,0.00587147,0.00619333,0.00651298,0.00683078,0.00714706,0.00746212,0.00777624,0.00808966,0.00840259,0.00871523,0.00902774,0.00934025,0.00965286,0.00996565,0.0102787,0.010592,0.0109055,0.0112192,0.0115331,0.0118471,0.012161,0.0124748,0.0127882,0.013101,0.0134132,0.0137243,0.0140342,0.0143426,0.0146492,0.0149537,0.0152557,0.015555,0.0158511,0.0161438,0.0164326,0.0167172,0.0169973,0.0172725,0.0175424,0.0178067,0.0180651,0.0183173,0.0185629,0.0188017,0.0190335,0.019258,0.019475,0.0196843,0.0198859,0.0200796,0.0202654,0.0204431,0.0206127,0.0207744,0.020928,0.0210737,0.0212116,0.0213417,0.0214643,0.0215794,0.0216873,0.021788,0.0218819,0.0219691,0.0220498,0.0221242,0.0221925,0.022255,0.0223118,0.0223631,0.0224091,0.0224499,0.0224857,0.0225167,0.0225428,0.0225643,0.0225811,0.0225932,0.0226007,0.0226036,0.0226016,0.0225948,0.0225828,0.0225656,0.0225427,0.022514,0.0224789,0.022437,0.0223877,0.0223304,0.0222644,0.0221887,0.0221025,0.0220046,0.0218937,0.0217684,0.0216273,0.0214683,0.0212895,0.0210887,0.0208632,0.0206101,0.0203263,0.020008,0.0196512,0.0192513,0.0188031,0.018301,0.0177384,0.0171081,0.0164021,0.0156115,0.0147258,0.0137341,0.0126235,0.0113801,0.00998803,0.00842986,0.00668603,0.00473508,0.00255242,0.000111379,-0.00261781,-0.0056681,-0.00907593,-0.0128834,-0.0171323,-0.0218726,-0.0271577,-0.0330461},
1069 {-0.223884,-0.213009,-0.202568,-0.192553,-0.182953,-0.173755,-0.16495,-0.156525,-0.148469,-0.140769,-0.133415,-0.126394,-0.119694,-0.113303,-0.10721,-0.101404,-0.0958714,-0.0906027,-0.0855866,-0.0808123,-0.0762693,-0.0719475,-0.0678369,-0.063928,-0.0602115,-0.0566782,-0.0533196,-0.0501272,-0.0470929,-0.0442089,-0.0414678,-0.0388623,-0.0363856,-0.034031,-0.0317921,-0.029663,-0.0276377,-0.0257108,-0.0238769,-0.0221309,-0.0204681,-0.0188837,-0.0173734,-0.0159331,-0.0145586,-0.0132462,-0.0119923,-0.0107934,-0.00964627,-0.00854773,-0.00749484,-0.00648478,-0.00551487,-0.00458256,-0.00368542,-0.00282117,-0.00198762,-0.0011827,-0.000404448,0.000348997,0.0010794,0.00178843,0.00247768,0.00314864,0.00380272,0.00444127,0.00506554,0.00567674,0.00627597,0.00686428,0.00744268,0.00801208,0.00857334,0.00912727,0.00967462,0.0102161,0.0107522,0.0112837,0.011811,0.0123347,0.012855,0.0133725,0.0138873,0.0143999,0.0149103,0.0154188,0.0159254,0.0164303,0.0169335,0.017435,0.0179346,0.0184323,0.018928,0.0194213,0.0199121,0.0204002,0.0208851,0.0213666,0.0218443,0.0223178,0.0227866,0.0232502,0.0237084,0.0241604,0.024606,0.0250444,0.0254754,0.0258983,0.0263127,0.0267181,0.027114,0.0275001,0.0278758,0.0282409,0.028595,0.0289377,0.0292689,0.0295882,0.0298954,0.0301905,0.0304734,0.0307439,0.0310021,0.031248,0.0314816,0.0317031,0.0319127,0.0321105,0.0322967,0.0324716,0.0326355,0.0327885,0.0329311,0.0330635,0.0331861,0.0332991,0.033403,0.0334979,0.0335842,0.0336623,0.0337323,0.0337945,0.0338491,0.0338964,0.0339365,0.0339694,0.0339954,0.0340144,0.0340265,0.0340315,0.0340294,0.0340199,0.0340028,0.0339778,0.0339445,0.0339023,0.0338507,0.033789,0.0337163,0.0336318,0.0335342,0.0334224,0.0332949,0.03315,0.032986,0.0328007,0.0325918,0.0323567,0.0320922,0.0317951,0.0314616,0.0310874,0.0306677,0.0301973,0.02967,0.0290791,0.0284172,0.0276758,0.0268457,0.025916,0.0248751,0.0237098,0.0224056,0.0209459,0.0193125,0.0174852,0.0154416,0.0131562,0.0106012,0.00774588,0.00455597,0.000993742,-0.00298393,-0.00742085,-0.0123683,-0.0178814,-0.0240203,-0.030853,-0.0384474,-0.0468817},
1070 {-0.356328,-0.340686,-0.325539,-0.310886,-0.296723,-0.283047,-0.269853,-0.257134,-0.244884,-0.233095,-0.221759,-0.210866,-0.200406,-0.19037,-0.180747,-0.171526,-0.162694,-0.154242,-0.146157,-0.138426,-0.131039,-0.123984,-0.117247,-0.110818,-0.104685,-0.0988357,-0.0932592,-0.0879442,-0.0828796,-0.0780547,-0.073459,-0.0690823,-0.0649147,-0.0609465,-0.0571684,-0.0535713,-0.0501465,-0.0468855,-0.0437803,-0.040823,-0.0380061,-0.0353223,-0.0327648,-0.0303268,-0.0280019,-0.0257842,-0.0236676,-0.0216467,-0.0197161,-0.0178706,-0.0161054,-0.0144159,-0.0127976,-0.0112463,-0.00975795,-0.00832875,-0.00695503,-0.00563334,-0.00436036,-0.00313296,-0.00194816,-0.000803139,0.000304789,0.00137817,0.00241941,0.00343079,0.00441446,0.00537247,0.00630674,0.00721908,0.0081112,0.00898469,0.00984106,0.0106817,0.011508,0.012321,0.013122,0.013912,0.0146919,0.0154626,0.0162249,0.0169795,0.017727,0.018468,0.019203,0.0199323,0.0206563,0.0213752,0.0220892,0.0227985,0.023503,0.0242028,0.0248977,0.0255876,0.0262723,0.0269516,0.027625,0.0282923,0.028953,0.0296067,0.0302529,0.030891,0.0315205,0.0321408,0.0327514,0.0333515,0.0339407,0.0345182,0.0350836,0.0356361,0.0361754,0.0367007,0.0372117,0.0377078,0.0381886,0.0386538,0.039103,0.0395359,0.0399523,0.0403521,0.0407351,0.0411013,0.0414507,0.0417834,0.0420995,0.0423992,0.0426827,0.0429502,0.0432021,0.0434387,0.0436603,0.0438675,0.0440605,0.0442399,0.0444061,0.0445595,0.0447005,0.0448297,0.0449474,0.045054,0.0451499,0.0452355,0.0453111,0.045377,0.0454334,0.0454806,0.0455186,0.0455475,0.0455675,0.0455784,0.0455801,0.0455724,0.0455552,0.0455279,0.0454901,0.0454413,0.0453806,0.0453074,0.0452206,0.0451191,0.0450015,0.0448663,0.0447118,0.0445361,0.0443368,0.0441115,0.0438573,0.0435709,0.0432487,0.0428867,0.0424802,0.042024,0.0415125,0.040939,0.0402963,0.0395763,0.0387698,0.0378668,0.0368557,0.0357238,0.034457,0.0330394,0.0314533,0.0296791,0.027695,0.0254765,0.0229968,0.0202258,0.0171305,0.0136742,0.00981578,0.00551186,0.000713059,-0.00463419,-0.0105884,-0.0172145,-0.0245801,-0.0327606,-0.0418365,-0.0518915},
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1173 {-3.39515,-3.36584,-3.33652,-3.30717,-3.27779,-3.24839,-3.21896,-3.18951,-3.16002,-3.1305,-3.10094,-3.07135,-3.04172,-3.01205,-2.98234,-2.95259,-2.92278,-2.89293,-2.86302,-2.83306,-2.80303,-2.77295,-2.7428,-2.71258,-2.68228,-2.65191,-2.62146,-2.59092,-2.56029,-2.52957,-2.49874,-2.46781,-2.43676,-2.4056,-2.37431,-2.34289,-2.31134,-2.27964,-2.24778,-2.21577,-2.18358,-2.15122,-2.11868,-2.08593,-2.05298,-2.01982,-1.98643,-1.9528,-1.91893,-1.88479,-1.85038,-1.81569,-1.78071,-1.74541,-1.70979,-1.67383,-1.63752,-1.60085,-1.56379,-1.52635,-1.4885,-1.45022,-1.41151,-1.37235,-1.33273,-1.29262,-1.25203,-1.21094,-1.16933,-1.12719,-1.08452,-1.0413,-0.997534,-0.953207,-0.908317,-0.86286,-0.816837,-0.770248,-0.723097,-0.67539,-0.627135,-0.578346,-0.529036,-0.479225,-0.428933,-0.378186,-0.327014,-0.275449,-0.223528,-0.171292,-0.118785,-0.066058,-0.0131622,0.0398454,0.0929047,0.145952,0.19892,0.25174,0.304339,0.356642,0.408575,0.460059,0.511016,0.561369,0.611039,0.659949,0.708025,0.755193,0.801382,0.846524,0.890555,0.933415,0.975048,1.0154,1.05444,1.09211,1.12838,1.16322,1.19661,1.22853,1.25898,1.28793,1.31539,1.34137,1.36587,1.3889,1.41049,1.43065,1.4494,1.46677,1.48279,1.49749,1.51091,1.52306,1.534,1.54374,1.55232,1.55978,1.56614,1.57143,1.57568,1.57892,1.58116,1.58243,1.58275,1.58212,1.58057,1.5781,1.5747,1.5704,1.56517,1.55902,1.55194,1.5439,1.53491,1.52493,1.51394,1.50192,1.48883,1.47463,1.45931,1.4428,1.42507,1.40607,1.38577,1.3641,1.34102,1.31647,1.29041,1.26279,1.23356,1.20267,1.17008,1.13576,1.09966,1.06178,1.02208,0.980574,0.937256,0.892146,0.845276,0.796693,0.746455,0.69464,0.641336,0.586645,0.530683,0.473569,0.415434,0.356401,0.296599,0.236142,0.175137,0.113675,0.0518299,-0.0103368,-0.0727844,-0.135477,-0.198395,-0.261512},
1174 {-3.4045,-3.3752,-3.34588,-3.31653,-3.28716,-3.25776,-3.22834,-3.19889,-3.1694,-3.13989,-3.11034,-3.08075,-3.05113,-3.02147,-2.99176,-2.96201,-2.93221,-2.90237,-2.87247,-2.84251,-2.8125,-2.78242,-2.75228,-2.72207,-2.69179,-2.66143,-2.63099,-2.60046,-2.56984,-2.53913,-2.50832,-2.4774,-2.44637,-2.41523,-2.38395,-2.35255,-2.32102,-2.28934,-2.2575,-2.22551,-2.19335,-2.16101,-2.12848,-2.09577,-2.06284,-2.0297,-1.99634,-1.96274,-1.92889,-1.89479,-1.86041,-1.82575,-1.79079,-1.75552,-1.71993,-1.684,-1.64772,-1.61108,-1.57405,-1.53664,-1.49881,-1.46056,-1.42187,-1.38274,-1.34313,-1.30305,-1.26247,-1.22138,-1.17977,-1.13764,-1.09496,-1.05174,-1.00795,-0.963599,-0.918677,-0.873181,-0.827108,-0.78046,-0.733239,-0.685452,-0.637105,-0.58821,-0.538782,-0.488838,-0.438399,-0.387489,-0.336138,-0.284378,-0.232244,-0.179777,-0.127023,-0.0740292,-0.0208483,0.032463,0.0858444,0.139232,0.192559,0.245756,0.298749,0.351463,0.403821,0.455746,0.507158,0.557977,0.608125,0.657524,0.706095,0.753764,0.800459,0.84611,0.890651,0.934021,0.976161,1.01702,1.05655,1.0947,1.13145,1.16676,1.20061,1.23297,1.26384,1.2932,1.32106,1.34741,1.37226,1.39563,1.41753,1.43798,1.45701,1.47464,1.4909,1.50581,1.51942,1.53175,1.54284,1.55271,1.56141,1.56897,1.57541,1.58076,1.58506,1.58833,1.59059,1.59186,1.59217,1.59151,1.58992,1.58739,1.58392,1.57953,1.57421,1.56795,1.56075,1.55258,1.54344,1.53331,1.52215,1.50994,1.49665,1.48225,1.4667,1.44996,1.43198,1.41273,1.39215,1.37019,1.3468,1.32194,1.29555,1.26759,1.238,1.20674,1.17377,1.13905,1.10255,1.06426,1.02414,0.982214,0.938474,0.892944,0.845658,0.796665,0.746028,0.693828,0.640156,0.585116,0.528826,0.471409,0.412992,0.353702,0.293666,0.232996,0.171797,0.110157,0.0481464,-0.0141762,-0.0767727,-0.139609,-0.202666,-0.265917}
1175};
1176
1177//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
1178
1179//LS coefficient for A=atomic weight * 1.05
1180const G4double G4AtimaEnergyLossModel::ls_coefficients_ahi[110][200]=
1181{
1182 {-0.0286005,-0.0269762,-0.0254384,-0.0239826,-0.0226044,-0.0212998,-0.0200648,-0.0188958,-0.0177891,-0.0167414,-0.0157495,-0.0148105,-0.0139213,-0.0130793,-0.0122818,-0.0115265,-0.0108109,-0.0101329,-0.00949027,-0.00888115,-0.0083036,-0.00775584,-0.00723615,-0.00674295,-0.0062747,-0.00582997,-0.00540738,-0.00500564,-0.00462354,-0.00425989,-0.00391361,-0.00358365,-0.00326903,-0.0029688,-0.00268208,-0.00240804,-0.00214586,-0.00189481,-0.00165416,-0.00142324,-0.0012014,-0.000988041,-0.000782573,-0.000584452,-0.000393159,-0.0002082,-2.91055e-05,0.000144568,0.000313242,0.000477319,0.000637177,0.000793179,0.000945667,0.00109497,0.00124139,0.00138522,0.00152675,0.00166624,0.00180394,0.00194008,0.0020749,0.00220859,0.00234138,0.00247345,0.00260497,0.00273611,0.00286704,0.00299791,0.00312884,0.00325998,0.00339143,0.00352331,0.00365572,0.00378874,0.00392247,0.00405695,0.00419227,0.00432847,0.00446558,0.00460364,0.00474267,0.00488268,0.00502366,0.00516561,0.00530849,0.00545228,0.00559694,0.00574239,0.00588858,0.00603543,0.00618284,0.00633071,0.00647894,0.0066274,0.00677595,0.00692445,0.00707275,0.0072207,0.00736812,0.00751483,0.00766066,0.00780541,0.0079489,0.00809094,0.00823133,0.00836987,0.00850638,0.00864065,0.00877251,0.00890177,0.00902826,0.00915181,0.00927227,0.00938949,0.00950334,0.00961369,0.00972045,0.00982352,0.00992282,0.0100183,0.0101099,0.0101976,0.0102814,0.0103612,0.0104372,0.0105093,0.0105776,0.010642,0.0107028,0.01076,0.0108136,0.0108637,0.0109105,0.010954,0.0109943,0.0110316,0.0110659,0.0110974,0.0111262,0.0111523,0.0111759,0.011197,0.0112157,0.0112322,0.0112464,0.0112584,0.0112682,0.011276,0.0112816,0.0112851,0.0112865,0.0112857,0.0112827,0.0112774,0.0112698,0.0112596,0.0112467,0.011231,0.0112123,0.0111902,0.0111645,0.0111349,0.0111009,0.0110622,0.0110182,0.0109684,0.0109121,0.0108486,0.0107772,0.0106967,0.0106064,0.0105049,0.010391,0.0102631,0.0101197,0.00995886,0.00977852,0.00957633,0.00934967,0.00909558,0.00881078,0.00849156,0.00813377,0.00773276,0.00728332,0.00677961,0.00621509,0.00558242,0.00487342,0.00407938,0.00318934,0.00219215,0.00107501,-0.000176368,-0.00157794,-0.00314752,-0.00490495,-0.00687157,-0.00907295,-0.0115359},
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1287 {-3.38571,-3.3564,-3.32707,-3.29772,-3.26834,-3.23893,-3.2095,-3.18004,-3.15055,-3.12102,-3.09146,-3.06187,-3.03223,-3.00256,-2.97284,-2.94308,-2.91327,-2.8834,-2.85349,-2.82352,-2.79349,-2.76339,-2.73323,-2.703,-2.6727,-2.64232,-2.61185,-2.5813,-2.55066,-2.51992,-2.48908,-2.45813,-2.42707,-2.3959,-2.36459,-2.33316,-2.30158,-2.26986,-2.23799,-2.20595,-2.17375,-2.14137,-2.1088,-2.07603,-2.04306,-2.00987,-1.97646,-1.9428,-1.9089,-1.87474,-1.84031,-1.80559,-1.77057,-1.73525,-1.6996,-1.66362,-1.62728,-1.59058,-1.55351,-1.51604,-1.47817,-1.43987,-1.40114,-1.36197,-1.32233,-1.28222,-1.24162,-1.20053,-1.15892,-1.1168,-1.07414,-1.03094,-0.987204,-0.942913,-0.898068,-0.852665,-0.806705,-0.760189,-0.713123,-0.665513,-0.617368,-0.568702,-0.519529,-0.469869,-0.419745,-0.369182,-0.31821,-0.266863,-0.215178,-0.163197,-0.110964,-0.058529,-0.00594485,0.0467317,0.0994405,0.152118,0.204698,0.257111,0.309285,0.361146,0.41262,0.46363,0.5141,0.563951,0.613109,0.661497,0.709042,0.755671,0.801317,0.845912,0.889394,0.931706,0.972793,1.01261,1.0511,1.08824,1.12399,1.15832,1.19121,1.22265,1.25261,1.28111,1.30813,1.33367,1.35776,1.3804,1.40161,1.4214,1.43981,1.45685,1.47257,1.48697,1.50011,1.512,1.52268,1.53219,1.54055,1.54779,1.55395,1.55905,1.56312,1.56618,1.56826,1.56937,1.56954,1.56876,1.56706,1.56444,1.5609,1.55645,1.55107,1.54477,1.53754,1.52935,1.52019,1.51005,1.49888,1.48668,1.4734,1.45901,1.44347,1.42674,1.40879,1.38955,1.36899,1.34706,1.32371,1.29888,1.27253,1.2446,1.21506,1.18385,1.15093,1.11627,1.07984,1.04162,1.00158,0.959738,0.916092,0.870663,0.823487,0.774613,0.724104,0.672041,0.618514,0.563627,0.507499,0.450252,0.392011,0.332905,0.273059,0.212583,0.151582,0.0901431,0.0283351,-0.0337836,-0.0961764,-0.158809,-0.221663,-0.284712},
1288 {-3.39515,-3.36584,-3.33652,-3.30717,-3.27779,-3.24839,-3.21896,-3.1895,-3.16002,-3.1305,-3.10094,-3.07135,-3.04172,-3.01205,-2.98234,-2.95258,-2.92278,-2.89293,-2.86302,-2.83306,-2.80303,-2.77295,-2.7428,-2.71258,-2.68228,-2.65191,-2.62146,-2.59092,-2.56029,-2.52956,-2.49874,-2.4678,-2.43676,-2.4056,-2.37431,-2.34289,-2.31133,-2.27963,-2.24778,-2.21576,-2.18358,-2.15122,-2.11867,-2.08593,-2.05298,-2.01981,-1.98642,-1.9528,-1.91892,-1.88478,-1.85038,-1.81569,-1.7807,-1.7454,-1.70978,-1.67382,-1.63751,-1.60084,-1.56378,-1.52634,-1.48849,-1.45021,-1.4115,-1.37234,-1.33272,-1.29262,-1.25202,-1.21093,-1.16932,-1.12718,-1.08451,-1.0413,-0.99753,-0.953204,-0.908315,-0.86286,-0.816838,-0.770251,-0.723102,-0.675397,-0.627145,-0.578358,-0.529052,-0.479243,-0.428955,-0.378212,-0.327044,-0.275484,-0.223567,-0.171337,-0.118837,-0.0661154,-0.0132264,0.039774,0.0928255,0.145864,0.198824,0.251634,0.304223,0.356516,0.408437,0.459909,0.510854,0.561194,0.61085,0.659746,0.707806,0.754958,0.801129,0.846253,0.890266,0.933106,0.974719,1.01505,1.05406,1.09171,1.12795,1.16277,1.19613,1.22803,1.25844,1.28736,1.31479,1.34073,1.36519,1.38819,1.40973,1.42984,1.44855,1.46587,1.48184,1.49649,1.50984,1.52194,1.53281,1.54248,1.55099,1.55837,1.56464,1.56985,1.57401,1.57715,1.57929,1.58045,1.58065,1.5799,1.57821,1.5756,1.57206,1.56759,1.5622,1.55587,1.5486,1.54037,1.53117,1.52097,1.50974,1.49747,1.48412,1.46965,1.45403,1.43722,1.41917,1.39984,1.37918,1.35714,1.33367,1.30873,1.28225,1.2542,1.22452,1.19317,1.16011,1.12531,1.08872,1.05034,1.01015,0.968141,0.924329,0.878733,0.831389,0.782345,0.731669,0.679438,0.625747,0.5707,0.514415,0.457015,0.398628,0.339379,0.279396,0.218788,0.157659,0.0960955,0.0341663,-0.0280709,-0.0905801,-0.153327,-0.216294,-0.279454},
1289 {-3.4045,-3.3752,-3.34588,-3.31653,-3.28716,-3.25776,-3.22834,-3.19888,-3.1694,-3.13989,-3.11034,-3.08075,-3.05113,-3.02146,-2.99176,-2.96201,-2.93221,-2.90236,-2.87246,-2.84251,-2.8125,-2.78242,-2.75228,-2.72207,-2.69178,-2.66142,-2.63098,-2.60046,-2.56984,-2.53913,-2.50832,-2.4774,-2.44637,-2.41522,-2.38395,-2.35255,-2.32101,-2.28933,-2.2575,-2.2255,-2.19334,-2.161,-2.12848,-2.09576,-2.06283,-2.0297,-1.99633,-1.96273,-1.92888,-1.89478,-1.8604,-1.82574,-1.79078,-1.75551,-1.71992,-1.68399,-1.64771,-1.61107,-1.57404,-1.53663,-1.4988,-1.46055,-1.42186,-1.38273,-1.34312,-1.30303,-1.26246,-1.22137,-1.17977,-1.13763,-1.09495,-1.05173,-1.00794,-0.963594,-0.918673,-0.873177,-0.827106,-0.78046,-0.733241,-0.685456,-0.637111,-0.58822,-0.538794,-0.488854,-0.438418,-0.387512,-0.336165,-0.284409,-0.232281,-0.17982,-0.127072,-0.074084,-0.02091,0.0323938,0.0857674,0.139147,0.192465,0.245652,0.298634,0.351337,0.403684,0.455597,0.506996,0.557802,0.607936,0.657319,0.705874,0.753527,0.800204,0.845837,0.890358,0.933707,0.975826,1.01666,1.05617,1.0943,1.13102,1.1663,1.20012,1.23246,1.26329,1.29262,1.32044,1.34675,1.37157,1.3949,1.41676,1.43716,1.45614,1.47372,1.48992,1.50478,1.51833,1.5306,1.54162,1.55143,1.56005,1.56753,1.57389,1.57915,1.58336,1.58653,1.58868,1.58984,1.59002,1.58925,1.58752,1.58484,1.58123,1.57668,1.57119,1.56475,1.55736,1.549,1.53964,1.52928,1.51789,1.50543,1.49188,1.4772,1.46136,1.4443,1.426,1.40641,1.38547,1.36314,1.33936,1.3141,1.28729,1.25889,1.22885,1.19713,1.16368,1.12848,1.09149,1.0527,1.01209,0.969659,0.925425,0.87941,0.831651,0.782201,0.731129,0.678519,0.624464,0.569074,0.512468,0.454771,0.39611,0.336611,0.2764,0.215585,0.154267,0.0925296,0.0304376,-0.0319538,-0.0946098,-0.1575,-0.220604,-0.283896}
1290};
1291
1292//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
1293
1294const G4double G4AtimaEnergyLossModel::ionisation_potentials_z[121] = {
1295 9999999, // 0
1296 19.2, // H
1297 41.8, // He
1298 40.0,
1299 63.7,
1300 76.0,
1301 78.0, // C
1302 82.0,
1303 95.0,
1304 115.0,
1305 137.0,
1306 149.0,
1307 156.0,
1308 166.0,
1309 173.0,
1310 173.0,
1311 180.0,
1312 174.0,
1313 188.0,
1314 190.0,
1315 191.0, //Ca (20)
1316 216.0,
1317 233.0,
1318 245.0,
1319 257.0,
1320 272.0,
1321 286.0, //Fe 26
1322 297.0,
1323 311.0,
1324 322.0,
1325 330.0,
1326 334.0,
1327 350.0,
1328 347.0,
1329 348.0,
1330 343.0,
1331 352.0,
1332 363.0,
1333 366.0,
1334 379.0,
1335 393.0,
1336 417.0,
1337 424.0,
1338 428.0,
1339 441.0,
1340 449.0,
1341 470.0,
1342 470.0,
1343 469.0,
1344 488.0,
1345 488.0, //Sn 50
1346 487.0,
1347 485.0,
1348 491.0,
1349 482.0, // Xe 54
1350 488.0,
1351 491.0,
1352 501.0,
1353 523.0,
1354 535.0,
1355 546.0,
1356 560.0,
1357 574.0,
1358 580.0,
1359 591.0,
1360 614.0,
1361 628.0,
1362 650.0,
1363 658.0,
1364 674.0,
1365 684.0,
1366 694.0,
1367 705.0,
1368 718.0,
1369 727.0,
1370 736.0,
1371 746.0,
1372 757.0,
1373 790.0,
1374 790.0, // Au 79
1375 800.0,
1376 810.0,
1377 823.0, //Pb 82
1378 823.0,
1379 830.0,
1380 825.0,
1381 794.0,
1382 827.0,
1383 826.0,
1384 841.0,
1385 847.0,
1386 878.0,
1387 890.0, // U 92
1388 900.0,
1389 910.0,
1390 920.0,
1391 930.0,
1392 940.0,
1393 950.0,
1394 960.0,
1395 970.0,
1396 980.0,
1397 990.0,
1398 1000.0,
1399 1010.0,
1400 1020.0,
1401 1030.0,
1402 1040.0,
1403 1050.0,
1404 1060.0,
1405 1070.0,
1406 1080.0,
1407 1090.0,
1408 1100.0,
1409 1110.0,
1410 1120.0,
1411 1130.0,
1412 1140.0,
1413 1150.0,
1414 1160.0,
1415 1170.0,
1416 };
1417
1418//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
1419
1420const G4double G4AtimaEnergyLossModel::x0[92]= {
14211.8639, 2.2017, 0.1304, 0.0592, 0.0305, -.0178, 1.7378, 1.7541, 1.8433, 2.0735,
14220.2880, 0.1499, 0.1708, 0.2014, 0.1696, 0.1580, 1.5555, 1.7635, 0.3851, 0.3228,
14230.1640, 0.0957, 0.0691, 0.0340, 0.0447, -.0012, -.0187, -.0566, -.0254, 0.0049,
14240.2267, 0.3376, 0.1767, 0.2258, 1.5262, 1.7158, 0.5737, 0.4585, 0.3608, 0.2957,
14250.1785, 0.2267, 0.0949, 0.0599, 0.0576, 0.0563, 0.0657, 0.1281, 0.2406, 0.2879,
14260.3189, 0.3296, 0.0549, 1.5630, 0.5473, 0.4190, 0.3161, 0.2713, 0.2333, 0.1984,
14270.1627, 0.1520, 0.1888, 0.1058, 0.0947, 0.0822, 0.0761, 0.0648, 0.0812, 0.1199,
14280.1560, 0.1965, 0.2117, 0.2167, 0.0559, 0.0891, 0.0819, 0.1484, 0.2021, 0.2756,
14290.3491, 0.3776, 0.4152, 0.4267, 0.4300, 1.5368, 0.6000, 0.5991, 0.4559, 0.4202,
14300.3144, 0.2260 };
1431
1432//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
1433
1434const G4double G4AtimaEnergyLossModel::x1[92]= {
14353.2718, 3.6122, 1.6397, 1.6922, 1.9688, 2.3415, 4.1323, 4.3213, 4.4096, 4.6421,
14363.1962, 3.0668, 3.0127, 2.8715, 2.7815, 2.7159, 4.2994, 4.4855, 3.1724, 3.1191,
14373.0593, 3.0386, 3.0322, 3.0451, 3.1074, 3.1531, 3.1790, 3.1851, 3.2792, 3.3668,
14383.5434, 3.6096, 3.5702, 3.6264, 4.9899, 5.0748, 3.7995, 3.6778, 3.5542, 3.4890,
14393.2201, 3.2784, 3.1253, 3.0834, 3.1069, 3.0555, 3.1074, 3.1667, 3.2032, 3.2959,
14403.3489, 3.4418, 3.2596, 4.7371, 3.5914, 3.4547, 3.3293, 3.3432, 3.2773, 3.3063,
14413.3199, 3.3460, 3.4633, 3.3932, 3.4224, 3.4474, 3.4782, 3.4922, 3.5085, 3.6246,
14423.5218, 3.4337, 3.4805, 3.4960, 3.4845, 3.5414, 3.5480, 3.6212, 3.6979, 3.7275,
14433.8044, 3.8073, 3.8248, 3.8293, 4.0000, 4.9889, 4.0000, 3.9428, 3.7966, 3.7681,
14443.5079, 3.3721 };
1445
1446//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
1447
1448const G4double G4AtimaEnergyLossModel::afermi[92]= {
1449 0.14092, 0.13443, 0.95136, 0.80392, 0.56224, 0.26142, 0.15349, 0.11778, 0.11083, .08064,
1450 0.07772, 0.08163, 0.08024, 0.14921, 0.23610, 0.33992, 0.19849, 0.19714, 0.19827, .15643,
1451 0.15754, 0.15662, 0.15436, 0.15419, 0.14973, 0.14680, 0.14474, 0.16496, 0.14339, .14714,
1452 0.09440, 0.07188, 0.06633, 0.06568, 0.06335, 0.07446, 0.07261, 0.07165, 0.07138, .07177,
1453 0.13883, 0.10525, 0.16572, 0.19342, 0.19205, 0.24178, 0.24585, 0.24609, 0.23879, .18689,
1454 0.16652, 0.13815, 0.23766, 0.23314, 0.18233, 0.18268, 0.18591, 0.18885, 0.23265, .23530,
1455 0.24280, 0.24698, 0.24448, 0.25109, 0.24453, 0.24665, 0.24638, 0.24823, 0.24889, .25295,
1456 0.24033, 0.22918, 0.17798, 0.15509, 0.15184, 0.12751, 0.12690, 0.11128, 0.09756, .11014,
1457 0.09455, 0.09359, 0.09410, 0.09282, 0.09000, 0.20798, 0.08000, 0.08804, 0.08567, 0.08655,
1458 0.14770, 0.19677 };
1459
1460//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
1461
1462const G4double G4AtimaEnergyLossModel::c[92]= {
14639.5835, 11.1393, 3.1221, 2.7847, 2.8477, 2.8680, 10.5400, 10.7004, 10.9653, 11.9041,
14645.0526, 4.5297, 4.2395, 4.4351, 4.5214, 4.6659, 11.1421, 11.9480, 5.6423, 5.0396,
14654.6949, 4.4450, 4.2659, 4.1781, 4.2702, 4.2911, 4.2601, 4.3115, 4.4190, 4.6906,
14664.9353, 5.1411, 5.0510, 5.3210, 11.7307,12.5115,6.4776, 5.9867, 5.4801 , 5.1774,
14675.0141, 4.8793, 4.7769, 4.7694, 4.8008, 4.9358, 5.0630, 5.2727, 5.5211, 5.5340,
14685.6241, 5.7131, 5.9488, 12.7281, 6.9135, 6.3153, 5.7850, 5.7837, 5.8096, 5.8290,
14695.8224, 5.8597, 6.2278, 5.8738, 5.9045, 5.9183, 5.9587, 5.9521, 5.9677, 6.3325,
14705.9785, 5.7139, 5.5262, 5.4059, 5.3445, 5.3083, 5.3418, 5.4732, 5.5747, 5.9605,
14716.1365, 6.2018, 6.3505, 6.4003, 6.4, 13.2839, 7., 7.0452, 6.3742, 6.2473,
14726.0327, 5.8694 };
1473
1474//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
1475
1476const G4double G4AtimaEnergyLossModel::m0[92]= {
14775.7273, 5.8347, 2.4993, 2.4339, 2.4512, 2.8697, 3.2125, 3.2913, 3.2962, 3.5771,
14783.6452, 3.6166, 3.6345, 3.2546, 2.9158, 2.6456, 2.9702, 2.9618, 2.9233, 3.0745,
14793.0517, 3.0302, 3.0163, 2.9896, 2.9796, 2.9632, 2.9502, 2.8430, 2.9044, 2.8652,
14803.1314, 3.3306, 3.4176, 3.4317, 3.4670, 3.4051, 3.4177, 3.4435, 3.4585, 3.4533,
14813.0930, 3.2549, 2.9738, 2.8707, 2.8633, 2.7239, 2.6899, 2.6772, 2.7144, 2.8576,
14822.9319, 3.0354, 2.7276, 2.7414, 2.8866, 2.8906, 2.8828, 2.8592, 2.7331, 2.7050,
14832.6674, 2.6403, 2.6245, 2.5977, 2.6056, 2.5849, 2.5726, 2.5573, 2.5469, 2.5141,
14842.5643, 2.6155, 2.7623, 2.8447, 2.8627, 2.9608, 2.9658, 3.0417, 3.1101, 3.0519,
14853.1450, 3.1608, 3.1671, 3.1830, 1.1111, 2.7409, 1.1111, 3.2454, 3.2683, 3.2610,
14862.9845, 2.8171 };
1487
1488//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
1489
1490const G4double G4AtimaEnergyLossModel::del_0[92]= {
14910.0, 0.00, 0.14, 0.14, 0.14, 0.12, 0.00, 0.00, 0.00, 0.00,
14920.08, 0.08, 0.12, 0.14, 0.14, 0.14, 0.00, 0.00, 0.10, 0.14,
14930.10, 0.12, 0.14, 0.14, 0.14, 0.12, 0.12, 0.10, 0.08, 0.08,
14940.14, 0.14, 0.08, 0.10, 0.00, 0.00, 0.14, 0.14, 0.14, 0.14,
14950.14, 0.14, 0.14, 0.14, 0.14, 0.14, 0.14, 0.14, 0.14, 0.14,
14960.14, 0.14, 0.00, 0.00, 0.14, 0.14, 0.14, 0.14, 0.14, 0.14,
14970.14, 0.14, 0.14, 0.14, 0.14, 0.14, 0.14, 0.14, 0.14, 0.14,
14980.14, 0.14, 0.14, 0.14, 0.08, 0.10, 0.10, 0.12, 0.14, 0.14,
14990.14, 0.14, 0.14, 0.14, 0.00, 0.00, 0.00, 0.14, 0.14, 0.14,
15000.14, 0.14 };
1501
1502//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
epsilon
G4double epsilon(G4double density, G4double temperature)
Definition G4DNAElectronHoleRecombination.cc:98
G4Exp
G4double G4Exp(G4double initial_x)
Exponential Function double precision.
Definition G4Exp.hh:180
G4Log
G4double G4Log(G4double x)
Definition G4Log.hh:227
G4double
double G4double
Definition G4Types.hh:83
G4int
int G4int
Definition G4Types.hh:85
G4endl
#define G4endl
Definition G4ios.hh:67
G4cout
G4GLOB_DLL std::ostream G4cout
CLHEP::Hep3Vector::unit
Hep3Vector unit() const
CLHEP::Hep3Vector::set
void set(double x, double y, double z)
CLHEP::Hep3Vector::rotateUz
Hep3Vector & rotateUz(const Hep3Vector &)
Definition ThreeVector.cc:33
CLHEP::HepRandomEngine::flat
virtual double flat()=0
CLHEP::HepRandomEngine::flatArray
virtual void flatArray(const int size, double *vect)=0
G4AtimaEnergyLossModel::CorrectionsAlongStep
void CorrectionsAlongStep(const G4MaterialCutsCouple *, const G4DynamicParticle *, const G4double &, G4double &) override
Definition G4AtimaEnergyLossModel.cc:271
G4AtimaEnergyLossModel::ComputeDEDXPerVolume
G4double ComputeDEDXPerVolume(const G4Material *, const G4ParticleDefinition *, G4double kineticEnergy, G4double) override
Definition G4AtimaEnergyLossModel.cc:251
G4AtimaEnergyLossModel::MaxSecondaryEnergy
G4double MaxSecondaryEnergy(const G4ParticleDefinition *, G4double kinEnergy) override
Definition G4AtimaEnergyLossModel.cc:402
G4AtimaEnergyLossModel::SampleSecondaries
void SampleSecondaries(std::vector< G4DynamicParticle * > *, const G4MaterialCutsCouple *, const G4DynamicParticle *, G4double tmin, G4double maxEnergy) override
Definition G4AtimaEnergyLossModel.cc:287
G4AtimaEnergyLossModel::ComputeCrossSectionPerElectron
G4double ComputeCrossSectionPerElectron(const G4ParticleDefinition *, G4double kineticEnergy, G4double cutEnergy, G4double maxEnergy)
Definition G4AtimaEnergyLossModel.cc:191
G4AtimaEnergyLossModel::G4AtimaEnergyLossModel
G4AtimaEnergyLossModel(const G4ParticleDefinition *p=nullptr, const G4String &nam="Atima")
Definition G4AtimaEnergyLossModel.cc:74
G4AtimaEnergyLossModel::CrossSectionPerVolume
G4double CrossSectionPerVolume(const G4Material *, const G4ParticleDefinition *, G4double kineticEnergy, G4double cutEnergy, G4double maxEnergy) override
Definition G4AtimaEnergyLossModel.cc:236
G4AtimaEnergyLossModel::~G4AtimaEnergyLossModel
~G4AtimaEnergyLossModel() override
G4AtimaEnergyLossModel::MinEnergyCut
G4double MinEnergyCut(const G4ParticleDefinition *, const G4MaterialCutsCouple *couple) override
Definition G4AtimaEnergyLossModel.cc:182
G4AtimaEnergyLossModel::GetParticleCharge
G4double GetParticleCharge(const G4ParticleDefinition *p, const G4Material *mat, G4double kineticEnergy) override
Definition G4AtimaEnergyLossModel.cc:142
G4AtimaEnergyLossModel::ComputeCrossSectionPerAtom
G4double ComputeCrossSectionPerAtom(const G4ParticleDefinition *, G4double kineticEnergy, G4double Z, G4double A, G4double cutEnergy, G4double maxEnergy) override
Definition G4AtimaEnergyLossModel.cc:222
G4AtimaEnergyLossModel::Initialise
void Initialise(const G4ParticleDefinition *, const G4DataVector &) override
Definition G4AtimaEnergyLossModel.cc:107
G4DynamicParticle::GetMomentumDirection
const G4ThreeVector & GetMomentumDirection() const
G4DynamicParticle::GetDefinition
G4ParticleDefinition * GetDefinition() const
G4DynamicParticle::GetKineticEnergy
G4double GetKineticEnergy() const
G4DynamicParticle::GetMomentum
G4ThreeVector GetMomentum() const
G4DynamicParticle::GetTotalMomentum
G4double GetTotalMomentum() const
G4Electron::Electron
static G4Electron * Electron()
Definition G4Electron.cc:91
G4EmCorrections::EffectiveChargeSquareRatio
G4double EffectiveChargeSquareRatio(const G4ParticleDefinition *, const G4Material *, const G4double kineticEnergy)
Definition G4EmCorrections.hh:320
G4EmCorrections::GetParticleCharge
G4double GetParticleCharge(const G4ParticleDefinition *, const G4Material *, const G4double kineticEnergy)
Definition G4EmCorrections.hh:312
G4EmCorrections::EffectiveChargeCorrection
G4double EffectiveChargeCorrection(const G4ParticleDefinition *, const G4Material *, const G4double kineticEnergy)
Definition G4EmCorrections.cc:721
G4IonisParamMat::GetMeanExcitationEnergy
G4double GetMeanExcitationEnergy() const
Definition G4IonisParamMat.hh:57
G4IonisParamMat::GetZeffective
G4double GetZeffective() const
Definition G4IonisParamMat.hh:114
G4LossTableManager::Instance
static G4LossTableManager * Instance()
Definition G4LossTableManager.cc:87
G4LossTableManager::EmCorrections
G4EmCorrections * EmCorrections()
Definition G4LossTableManager.hh:382
G4MaterialCutsCouple::GetMaterial
const G4Material * GetMaterial() const
Definition G4MaterialCutsCouple.hh:166
G4Material::GetDensity
G4double GetDensity() const
Definition G4Material.hh:174
G4Material::GetIonisation
G4IonisParamMat * GetIonisation() const
Definition G4Material.hh:212
G4Material::GetElectronDensity
G4double GetElectronDensity() const
Definition G4Material.hh:203
G4NistManager::GetA27
G4double GetA27(G4int Z) const
Definition G4NistManager.hh:498
G4NistManager::Instance
static G4NistManager * Instance()
Definition G4NistManager.cc:59
G4NistManager::GetAtomicMassAmu
G4double GetAtomicMassAmu(const G4String &symb) const
Definition G4NistManager.hh:319
G4ParticleChangeForLoss::SetProposedKineticEnergy
void SetProposedKineticEnergy(G4double proposedKinEnergy)
Definition G4ParticleChangeForLoss.hh:108
G4ParticleChangeForLoss::SetProposedMomentumDirection
void SetProposedMomentumDirection(const G4ThreeVector &dir)
Definition G4ParticleChangeForLoss.hh:139
G4ParticleDefinition::GetPDGMagneticMoment
G4double GetPDGMagneticMoment() const
Definition G4ParticleDefinition.hh:112
G4ParticleDefinition::GetParticleName
const G4String & GetParticleName() const
Definition G4ParticleDefinition.hh:96
G4Pow::GetInstance
static G4Pow * GetInstance()
Definition G4Pow.cc:41
G4Pow::powA
G4double powA(G4double A, G4double y) const
Definition G4Pow.hh:230
G4Pow::A23
G4double A23(G4double A) const
Definition G4Pow.hh:131
G4VEmAngularDistribution::SampleDirection
virtual G4ThreeVector & SampleDirection(const G4DynamicParticle *dp, G4double finalTotalEnergy, G4int Z, const G4Material *)=0
G4VEmModel::GetAngularDistribution
G4VEmAngularDistribution * GetAngularDistribution()
Definition G4VEmModel.hh:599
G4VEmModel::SelectRandomAtomNumber
G4int SelectRandomAtomNumber(const G4Material *) const
Definition G4VEmModel.cc:250
G4VEmModel::SetLowEnergyLimit
void SetLowEnergyLimit(G4double)
Definition G4VEmModel.hh:745
G4VEmModel::SetDeexcitationFlag
void SetDeexcitationFlag(G4bool val)
Definition G4VEmModel.hh:787
G4VEmModel::SetAngularDistribution
void SetAngularDistribution(G4VEmAngularDistribution *)
Definition G4VEmModel.hh:606
G4VEmModel::UseAngularGeneratorFlag
G4bool UseAngularGeneratorFlag() const
Definition G4VEmModel.hh:689
G4VEmModel::GetParticleChangeForLoss
G4ParticleChangeForLoss * GetParticleChangeForLoss()
Definition G4VEmModel.cc:105
G4INCL::KinematicsUtils::energy
G4double energy(const ThreeVector &p, const G4double m)
Definition G4INCLKinematicsUtils.cc:185
G4lrint
int G4lrint(double ad)
Definition templates.hh:134
DBL_MAX
#define DBL_MAX
Definition templates.hh:62