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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 //
37 //
38 // Class Description:
39 //
40 // This model calculates the stopping power of heavy ions (Z>2) according
41 // to the ATIMA code developed at GSI, Darmstadt, Germany.
42 // http://web-docs.gsi.de/~weick/atima/
43 //
44 // -------------------------------------------------------------------
45 //
46 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
47 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
48 
50 #include "Randomize.hh"
51 #include "G4PhysicalConstants.hh"
52 #include "G4SystemOfUnits.hh"
53 #include "G4Electron.hh"
54 #include "G4GenericIon.hh"
55 #include "G4LossTableManager.hh"
56 #include "G4EmCorrections.hh"
58 #include "G4DeltaAngle.hh"
59 #include "G4Log.hh"
60 #include "G4Exp.hh"
61 #include "G4Pow.hh"
62 
63 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
64 
65 using namespace std;
66 
69 
71  const G4String& nam)
72  : G4VEmModel(nam),
73  particle(nullptr),
74  tlimit(DBL_MAX),
75  isIon(false)
76 {
78  fParticleChange = nullptr;
84  MLN10 = 2.30258509299;
85  atomic_mass_unit = 931.4940954; // MeV/c^2
86  dedx_constant = 0.3070749187; //4*pi*Na*me*c^2*r_e^2 //MeV cm^2
87  electron_mass = 0.510998928; // MeV/c^2
88  fine_structure = 1.0/137.035999139;
89  domega2dx_constant = dedx_constant*electron_mass; //4*pi*Na*me*c^2*r_e^2 //MeV^2 cm^2
90  if(tableE[0] == 0.0) {
91  G4double logmin = 0.;
92  G4double logmax = 5.;
93  stepE = (logmax-logmin)/199.;
94  for(G4int i=0; i<200; ++i){
95  tableE[i] = G4Exp(MLN10*(logmin + ((G4double)i)*stepE));
96  }
97  }
98 }
99 
100 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
101 
103 {}
104 
105 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
106 
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) {
124  }
125  }
126 }
127 
128 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
129 
131  const G4Material* mat,
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 
143  const G4Material* mat,
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 
155 {
156  mass = particle->GetPDGMass();
157  spin = particle->GetPDGSpin();
159  chargeSquare = q*q;
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 +
177  }
178 }
179 
180 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
181 
183  const G4MaterialCutsCouple* couple)
184 {
185  return couple->GetMaterial()->GetIonisation()->GetMeanExcitationEnergy();
186 }
187 
188 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
189 
190 G4double
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 
223  const G4ParticleDefinition* p,
226  G4double cutEnergy,
227  G4double maxEnergy)
228 {
230  (p,kineticEnergy,cutEnergy,maxEnergy);
231  return cross;
232 }
233 
234 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
235 
237  const G4Material* material,
238  const G4ParticleDefinition* p,
240  G4double cutEnergy,
241  G4double maxEnergy)
242 {
243  G4double eDensity = material->GetElectronDensity();
245  (p,kineticEnergy,cutEnergy,maxEnergy);
246  return cross;
247 }
248 
249 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
250 
252  const G4ParticleDefinition* p,
254  G4double)
255 {
256  //Call to ATIMA Stopping Power function
257  G4double zt = material->GetIonisation()->GetZeffective();
258  zt = std::max(zt,93.);
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 
272  const G4DynamicParticle* dp,
273  G4double& eloss,
274  G4double&,
275  G4double length)
276 {
277  if(isIon) {
278  const G4ParticleDefinition* p = dp->GetDefinition();
279  const G4Material* mat = couple->GetMaterial();
280  G4double cutEnergy = DBL_MAX;
283  eloss = ComputeDEDXPerVolume(mat, p, kineticEnergy, cutEnergy)*length/(cm);
284  }
285 
286 }
287 
288 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
289 
290 void G4AtimaEnergyLossModel::SampleSecondaries(vector<G4DynamicParticle*>* vdp,
291  const G4MaterialCutsCouple* couple,
292  const G4DynamicParticle* dp,
293  G4double minKinEnergy,
294  G4double maxEnergy)
295 {
298 
299  G4double maxKinEnergy = std::min(maxEnergy,tmax);
300  if(minKinEnergy >= maxKinEnergy) { return; }
301 
302  //G4cout << "G4AtimaEnergyLossModel::SampleSecondaries Emin= " << minKinEnergy
303  // << " Emax= " << maxKinEnergy << G4endl;
304 
305  G4double totEnergy = kineticEnergy + mass;
306  G4double etot2 = totEnergy*totEnergy;
307  G4double beta2 = kineticEnergy*(kineticEnergy + 2.0*mass)/etot2;
308 
309  G4double deltaKinEnergy, f;
310  G4double f1 = 0.0;
311  G4double fmax = 1.0;
312  if( 0.0 < spin ) { fmax += 0.5*maxKinEnergy*maxKinEnergy/etot2; }
313 
314  CLHEP::HepRandomEngine* rndmEngineMod = G4Random::getTheEngine();
315  G4double rndm[2];
316 
317  // sampling without nuclear size effect
318  do {
319  rndmEngineMod->flatArray(2, rndm);
320  deltaKinEnergy = minKinEnergy*maxKinEnergy
321  /(minKinEnergy*(1.0 - rndm[0]) + maxKinEnergy*rndm[0]);
322 
323  f = 1.0 - beta2*deltaKinEnergy/tmax;
324  if( 0.0 < spin ) {
325  f1 = 0.5*deltaKinEnergy*deltaKinEnergy/etot2;
326  f += f1;
327  }
328 
329  // Loop checking, 03-Aug-2015, Vladimir Ivanchenko
330  } while( fmax*rndm[1] > f);
331 
332  // projectile formfactor - suppresion of high energy
333  // delta-electron production at high energy
334 
335  G4double x = formfact*deltaKinEnergy*(deltaKinEnergy + 2*electron_mass_c2);
336  if(x > 1.e-6) {
337 
338  G4double x10 = 1.0 + x;
339  G4double grej = 1.0/(x10*x10);
340  if( 0.0 < spin ) {
341  G4double x2 = 0.5*electron_mass_c2*deltaKinEnergy/(mass*mass);
342  grej *= (1.0 + magMoment2*(x2 - f1/f)/(1.0 + x2));
343  }
344  if(grej > 1.1) {
345  G4cout << "### G4AtimaEnergyLossModel WARNING: grej= " << grej
346  << " " << dp->GetDefinition()->GetParticleName()
347  << " Ekin(MeV)= " << kineticEnergy
348  << " delEkin(MeV)= " << deltaKinEnergy
349  << G4endl;
350  }
351  if(rndmEngineMod->flat() > grej) { return; }
352  }
353 
354  G4ThreeVector deltaDirection;
355 
357 
358  const G4Material* mat = couple->GetMaterial();
360 
361  deltaDirection =
362  GetAngularDistribution()->SampleDirection(dp, deltaKinEnergy, Z, mat);
363 
364  } else {
365 
366  G4double deltaMomentum =
367  std::sqrt(deltaKinEnergy * (deltaKinEnergy + 2.0*electron_mass_c2));
368  G4double cost = deltaKinEnergy * (totEnergy + electron_mass_c2) /
369  (deltaMomentum * dp->GetTotalMomentum());
370  if(cost > 1.0) { cost = 1.0; }
371  G4double sint = std::sqrt((1.0 - cost)*(1.0 + cost));
372 
373  G4double phi = twopi*rndmEngineMod->flat();
374 
375  deltaDirection.set(sint*cos(phi),sint*sin(phi), cost) ;
376  deltaDirection.rotateUz(dp->GetMomentumDirection());
377  }
378  /*
379  G4cout << "### G4AtimaEnergyLossModel "
380  << dp->GetDefinition()->GetParticleName()
381  << " Ekin(MeV)= " << kineticEnergy
382  << " delEkin(MeV)= " << deltaKinEnergy
383  << " tmin(MeV)= " << minKinEnergy
384  << " tmax(MeV)= " << maxKinEnergy
385  << " dir= " << dp->GetMomentumDirection()
386  << " dirDelta= " << deltaDirection
387  << G4endl;
388  */
389  // create G4DynamicParticle object for delta ray
390  G4DynamicParticle* delta =
391  new G4DynamicParticle(theElectron,deltaDirection,deltaKinEnergy);
392 
393  vdp->push_back(delta);
394 
395  // Change kinematics of primary particle
396  kineticEnergy -= deltaKinEnergy;
397  G4ThreeVector finalP = dp->GetMomentum() - delta->GetMomentum();
398  finalP = finalP.unit();
399 
402 }
403 
404 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
405 
407  G4double kinEnergy)
408 {
409  // here particle type is checked for any method
410  SetParticle(pd);
411  G4double tau = kinEnergy/mass;
412  G4double tmax = 2.0*electron_mass_c2*tau*(tau + 2.) /
413  (1. + 2.0*(tau + 1.)*ratio + ratio*ratio);
414  return std::min(tmax,tlimit);
415 }
416 
417 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
418 
420  G4double ep, G4double at, G4double zt){
421  //
422  if(ep==0)return 0.0;
423  ap=ap/atomic_mass_unit;
424  ep=ep/ap;
425  G4double se = 0.0;
426  // ep in MeV
427  if(ep<=10.){
428  se = sezi_dedx_e(zp, ep, at, zt);
429  }
430  else if(ep>10. && ep<30.){
431  G4double factor = 0.05 * ( ep - 10.0 );
432  se = (1.0-factor)*sezi_dedx_e(zp, ep, at, zt) + factor*Bethek_dedx_e(ap, zp, ep, at, zt);
433  }
434  else {
435  se = Bethek_dedx_e(ap, zp, ep, at, zt);
436  }
437  return se + dedx_n(ap, zp, ep, at, zt);
438 }
439 
440 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
441 
443  const G4double ep, const G4double at, const G4double zt){
444 
445  G4double zpowers = g4calc->powA(zp,0.23)+g4calc->powA(zt,0.23);
446  G4double asum = ap + at;
447  G4double epsilon = 32.53*at*1000.*ep*ap/(zp*zt*asum*zpowers); //projectile energy is converted from MeV/u to keV
448  G4double sn=0.;
449 
450  if(epsilon<=30.0){
451  sn = G4Log(1.+(1.1383*epsilon))/ (2.*(epsilon + 0.01321*g4calc->powA(epsilon,0.21226) + 0.19593*sqrt(epsilon)));
452  }
453  else{
454  sn = G4Log(epsilon)/(2.*epsilon);
455  }
456  sn = 100.*8.4621*zp*zt*ap*sn*Avogadro/1.e+23/(asum*zpowers*at);
457  return sn;
458 }
459 
460 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
461 
463  G4double e = ep*1000.; // e in keV/u
464  G4double se = 0.;
465 
466  // heavy ion Z > 2
467  G4double h1,h4;
468  G4double a,q,b;
469  G4double l1,l0,l;
470  G4double YRmin = 0.130; // YRmin = VR / ZP**0.67 <= 0.13 OR VR <= 1.0
471  G4double VRmin = 1.0;
472  G4double vfermi = atima_vfermi[(G4int)zt-1];
473  G4double yr=0;
474  G4double zeta = 0;
475 
476  G4double v = std::sqrt(e/25.0)/vfermi;
477  G4double v2= v*v;
478 
479  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));
480 
481  h1= 1./g4calc->powA(zp,0.6667);
482  yr = std::max(YRmin,vr*h1);
483  yr = std::max(yr, VRmin*h1);
484 
485  //-- CALCULATE ZEFF
486  a = -0.803*g4calc->powA(yr,0.3) + 1.3167*g4calc->powA(yr,0.6) + 0.38157*yr + 0.008983*yr*yr;
487  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
488 
489  //-- IONIZATION LEVEL TO EFFECTIVE CHARGE
490  h1 = 1./g4calc->powA(zp,0.3333);
491 
492  b = (std::min(0.43, std::max(0.32,0.12 + 0.025*zp)))*h1;
493  l0 = (0.8 - q * std::min(1.2,0.6 +zp/30.0))*h1;
494  if(q < 0.2){
495  l1 = 0;
496  }
497  else{
498  if (q < std::max(0.0,0.9-0.025*zp)){
499  l1 = b*(q-0.2)/std::abs(std::max(0.0,0.9-0.025*zp)-0.2000001);
500  }
501  else{
502  if(q < std::max(0.0,1.0 - 0.025*std::min(16.,zp))) l1 = b;
503  else l1 = b*(1.0 - q)/(0.025*std::min(16.,zp));
504  }
505  }
506  // calculate screening
507  l = std::max(l1,l0*atima_lambda_screening[(G4int)zp-1]);
508  h1 =4.0*l*vfermi/1.919;
509  zeta = q + (1./(2.*(vfermi*vfermi)))*(1. - q)* G4Log(1. + h1*h1);
510 
511  // ZP**3 EFFECT AS IN REF. 779?
512  a = 7.6 - std::max(0.0, G4Log(e));
513  zeta = zeta*(1. + (1./(zp*zp))*(0.18 + .0015*zt)*G4Exp(-a*a));
514 
515  h1= 1./g4calc->powA(zp,0.6667);
516  if (yr <= ( std::max(YRmin, VRmin*h1))){
517  VRmin=std::max(VRmin, YRmin/h1);
518  //--C ..CALCULATE VELOCITY STOPPING FOR YR < YRmin
519  G4double vmin =.5*(VRmin + std::sqrt(std::max(0.0,VRmin*VRmin - 0.8*vfermi*vfermi)));
520  G4double eee = 25.0*vmin*vmin;
521  G4double eval = 1.0;
522  if((zt == 6) || (((zt == 14) || (zt == 32)) && (zp <= 19))) eval = 0.35;
523  else eval = 0.5;
524 
525  h1 = zeta *zp;
526  h4 = g4calc->powA(e / eee,eval);
527  se = sezi_p_se(eee*0.001,at,zt) * h1*h1*h4;
528  return se;
529  }
530  else {
531  se = sezi_p_se(ep,at,zt)*g4calc->powA(zeta*zp,2.0);
532  return se;
533  }
534 
535  return se;
536 }
537 
538 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
539 
541  G4double sp = 0.;
542  G4double e = 1000*energy; //e in keV/u
543  G4int i = zt - 1;
544 
545  if(e<=25)e=25;
548  sp = sl*sh/(sl+sh);
549  e=1000*energy;
550  if(e<=25){
551  sp *=(zt>6)?g4calc->powA(e/25.,0.45):g4calc->powA(e/25.,0.25);
552  }
553  return 100.*sp*Avogadro/1.e+23/at;
554 }
555 
556 
557 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
558 
560 //
561 // According to C. Scheidenberger et al., Phys. Rev. Lett. 73, 50 (1994).
562 //
563  G4double gamma=1.0 + ep/atomic_mass_unit;
564  G4double beta2=1.0-1.0/(gamma*gamma);
565  //
566  G4double beta = std::sqrt(beta2);
567  G4double zp_eff = zp*(1.0-G4Exp(-0.95/fine_structure*beta/g4calc->A23(zp)));
568  G4int zi = std::min(std::max((G4int)zt, 1), 120);
570  G4double f1 = dedx_constant*g4calc->powA(zp_eff,2.)*zt/(beta2*at);
571 
572  //
573  G4double f2 = G4Log(2.0*electron_mass*1000000*beta2/Ipot);
574  G4double eta = beta*gamma;
575 
576  if(!(eta>=0.13)){ //shell corrections
577  G4double cor = (+0.422377*g4calc->powA(eta,-2.)
578  +0.0304043*g4calc->powA(eta,-4.)
579  -0.00038106*g4calc->powA(eta,-6.))*1e-6*g4calc->powA(Ipot,2.)
580  +(+3.858019*g4calc->powA(eta,-2.)
581  -0.1667989*(g4calc->powA(eta,-4.))
582  +0.00157955*(g4calc->powA(eta,-6.)))*1.0e-9*g4calc->powA(Ipot,3.);
583  f2 = f2 -cor/zt;
584  }
585 
586  f2+=2*G4Log(gamma) -beta2;
587 
588  //Barkas correction
589  G4double barkas=1.0;
590  G4double V2FVA[4]={0.33,0.30,0.26,0.23};
591  G4double VA[4]={1.,2.,3.,4.};
592  G4double v1 = eta/(fine_structure*std::sqrt(zt));
593  G4double v2fv;
594  if(v1 >= 4.){
595  v2fv = 0.45 / std::sqrt(v1);
596  }
597  else if(v1 > 1. && v1 < 4.){//VALUES FROM THE JACKSON MC CARTHY FUNCTION //PHYS. REV. B 6 4131
598  G4int i=1;
599  for(; i<4; i++){
600  if(VA[i] >= v1) break;
601  }
602  i = std::min(i, 3);
603  v2fv = V2FVA[i-1]+(v1-VA[i-1])*(V2FVA[i]-V2FVA[i-1])/(VA[i]-VA[i-1]);
604  }
605  else{
606  v2fv=0;
607  }
608  barkas= 1.0+2.0 * zp_eff * v2fv /(v1*v1*std::sqrt(zt));
609 
610  //Fermi-density effect for relativistic velocities
611  gamma = 1./std::sqrt(1-(beta*beta));
612  G4double x = G4Log(beta * gamma) / 2.302585;
613  G4int i = std::min(std::max(zi-1,0), 91);
614  G4double del = 0.;
615 
616  if (x < x0[i] ){
617  if(del_0[i] > 0.)del = del_0[i] * g4calc->powA(10.0,(2.*(x-x0[i])));
618  }
619  else {
620  del = 4.6052 * x - c[i];
621  if ( x0[i]<= x && x <= x1[i] ) del += afermi[i] * g4calc->powA((x1[i] - x),m0[i]);
622  }
623 
624  //Precalculated lindhard correction
625  G4double LS = 0.;
626  G4int z = G4lrint(zp);
627  if(z>109)z=109;
628  if(ep<tableE[0])ep=tableE[0];
629 
631  z = z-1;
632 
635  G4double dif = v4 - v3;
636  LS = v3+(dif*da/0.05);
637 
638  //Final stopping power
639  G4double result = (f2)*barkas + LS - del/2.;
640  result *=f1;
641 
642  return result;
643 }
644 
645 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
646 
648  G4double r;
649  G4int num=200;
650  G4double lxval = G4Log(xval)/MLN10;
651  if(xval<tableE[0] || xval>tableE[num-1])return 0.0;
652  if(xval==tableE[num-1])return y[num-1];
653  G4int i = (G4int)(lxval/stepE);
654  i = std::min(std::max(i, 0), num-2);
655  G4double linstep = tableE[i+1] - tableE[i];
656  G4double x = 1.0 - ((xval - tableE[i])/linstep);
657  r = (x*y[i]) + ((1-x)*y[i+1]);
658  return r;
659 }
660 
661 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
662 
663 const G4double G4AtimaEnergyLossModel::proton_stopping_coef[92][8] = { // proton in material stopping coefficient
664 { .0091827, .0053496, .69741, .48493, 316.07,1.0143, 9329.3, .0539890}, //H
665 { .11393, .0051984, 1.0822, .39252, 1081.0, 1.0645, 4068.5, .0176990}, //He
666 { .85837, .0050147, 1.6044, .38844, 1337.3, 1.0470, 2659.2, .01898},
667 { .8781, .0051049, 5.4232, .2032, 1200.6, 1.0211, 1401.8, .0385290},
668 { 1.4608, .0048836, 2.338, .44249, 1801.3, 1.0352, 1784.1, .02024},
669 { 3.2579, .0049148, 2.7156, .36473, 2092.2, 1.0291, 2643.6, .0182370}, //C
670 { .59674, .0050837, 4.2073, .30612, 2394.2, 1.0255, 4892.1, .0160060},
671 { .75253, .0050314, 4.0824, .30067, 2455.8, 1.0181, 5069.7, .0174260}, //O
672 { 1.226, .0051385, 3.2246, .32703, 2525.0, 1.0142, 7563.6, .0194690},
673 { 1.0332, .0051645, 3.004, .33889, 2338.6, .99997, 6991.2, .0217990}, //Ne
674 { 6.0972, .0044292, 3.1929, .45763, 1363.3, .95182, 2380.6, .0818350},
675 {14.013, .0043646, 2.2641, .36326, 2187.4, .99098, 6264.8, .0462},
676 { .039001, .0045415, 5.5463, .39562, 1589.2, .95316, 816.16, .0474840},
677 { 2.072, .0044516, 3.5585, .53933, 1515.2, .93161, 1790.3, .0351980},
678 {17.575, .0038346, .078694, 1.2388,2806.0, .97284, 1037.6, .0128790},
679 {16.126, .0038315, .054164, 1.3104,2813.3, .96587, 1251.4, .0118470},
680 { 3.217, .0044579, 3.6696, .5091, 2734.6, .96253, 2187.5, .0169070},
681 { 2.0379, .0044775, 3.0743, .54773, 3505.0, .97575, 1714.00, .0117010},
682 { .74171, .0043051, 1.1515, .95083, 917.21, .8782, 389.93, .18926},
683 { 9.1316, .0043809, 5.4611, .31327, 3891.8, .97933, 6267.9, .0151960}, //Ca
684 { 7.2247, .0043718, 6.1017, .37511, 2829.2, .95218, 6376.1, .0203980},
685 { .147, .0048456, 6.3485, .41057, 2164.1, .94028, 5292.6, .0502630},
686 { 5.0611, .0039867, 2.6174, .57957, 2218.9, .92361, 6323.00, .0256690},
687 { .53267, .0042968, .39005, 1.2725, 1872.7, .90776, 64.166, .0301070},
688 { .47697, .0043038, .31452, 1.3289, 1920.5, .90649, 45.576, .0274690},
689 { .027426, .0035443, .031563, 2.1755, 1919.5, .90099, 23.902, .0253630},
690 { .16383, .0043042, .073454, 1.8592, 1918.4, .89678, 27.61, .0231840},
691 { 4.2562, .0043737, 1.5606, .72067, 1546.8, .87958, 302.02, .0409440}, //Ni
692 { 2.3508, .0043237, 2.882, .50113, 1837.7, .89992, 2377.00, .04965},
693 { 3.1095, .0038455, .11477, 1.5037, 2184.7, .89309, 67.306, .0165880},
694 {15.322, .0040306, .65391, .67668, 3001.7, .92484, 3344.2, .0163660},
695 { 3.6932, .0044813, 8.608, .27638, 2982.7, .9276, 3166.6, .0308740},
696 { 7.1373, .0043134, 9.4247, .27937, 2725.8, .91597, 3166.1, .0250080},
697 { 4.8979, .0042937, 3.7793, .50004, 2824.5, .91028, 1282.4, .0170610},
698 { 1.3683, .0043024, 2.5679, .60822, 6907.8, .9817, 628.01, .0068055},
699 { 1.8301, .0042983, 2.9057, .6038, 4744.6, .94722, 936.64, .0092242},
700 { .42056, .0041169, .01695, 2.3616, 2252.7, .89192, 39.752, .0277570},
701 {30.78, .0037736, .55813, .76816, 7113.2, .97697, 1604.4, .0065268},
702 {11.576, .0042119, 7.0244, .37764, 4713.5, .94264, 2493.2, .01127},
703 { 6.2406, .0041916, 5.2701, .49453, 4234.6, .93232, 2063.9, .0118440},
704 { .33073, .0041243, 1.7246, 1.1062, 1930.2, .86907, 27.416, .0382080},
705 { .017747, .0041715, .14586, 1.7305,1803.6, .86315, 29.669, .0321230},
706 { 3.7229, .0041768, 4.6286, .56769, 1678.0, .86202, 3094.00, .06244},
707 { .13998, .0041329, .25573, 1.4241, 1919.3, .86326, 72.797, .0322350},
708 { .2859, .0041386, .31301, 1.3424, 1954.8, .86175, 115.18, .0293420},
709 { .76, .0042179, 3.386, .76285, 1867.4, .85805, 69.994, .0364480},
710 { 6.3957, .0041935, 5.4689, .41378, 1712.6, .85397,18493.00, .0564710},
711 { 3.4717, .0041344, 3.2337, .63788, 1116.4, .81959, 4766.0, .1179},
712 { 2.5265, .0042282, 4.532, .53562, 1030.8, .81652,16252.0, .19722},
713 { 7.3683, .0041007, 4.6791, .51428, 1160.0, .82454,17965.0, .13316},
714 { 7.7197, .004388, 3.242, .68434, 1428.1, .83398, 1786.7, .0665120},
715 {16.78, .0041918, 9.3198, .29568, 3370.9, .90289, 7431.7, .02616},
716 { 4.2132, .0042098, 4.6753, .57945, 3503.9, .89261, 1468.9, .0143590},
717 { 4.0818, .004214, 4.4425, .58393, 3945.3, .90281, 1340.5, .0134140}, //Xe
718 {.18517, .0036215, .00058788,3.5315, 2931.3, .88936, 26.18, .0263930},
719 { 4.8248, .0041458, 6.0934, .57026, 2300.1, .86359, 2980.7, .0386790},
720 { .49857, .0041054, 1.9775, .95877, 786.55, .78509, 806.6, .40882},
721 { 3.2754, .0042177, 5.768, .54054, 6631.3, .94282, 744.07, .0083026},
722 { 2.9978, .0040901, 4.5299, .62025, 2161.2, .85669, 1268.6, .0430310},
723 { 2.8701, .004096, 4.2568, .6138, 2130.4, .85235, 1704.1, .0393850},
724 {10.853, .0041149, 5.8907, .46834, 2857.2, .8755, 3654.2, .0299550},
725 { 3.6407, .0041782, 4.8742, .57861, 1267.7, .82211, 3508.2, .24174},
726 {17.645, .0040992, 6.5855, .32734, 3931.3, .90754, 5156.7, .0362780},
727 { 7.5309, .0040814, 4.9389, .50679, 2519.7, .85819, 3314.6, .0305140},
728 { 5.4742, .0040829, 4.897, .51113, 2340.1, .85296, 2342.7, .0356620},
729 { 4.2661, .0040667, 4.5032, .55257, 2076.4, .84151, 1666.6, .0408010},
730 { 6.8313, .0040486, 4.3987, .51675, 2003.0, .83437, 1410.4, .03478},
731 { 1.2707, .0040553, 4.6295, .57428, 1626.3, .81858, 995.68, .0553190},
732 { 5.7561, .0040491, 4.357, .52496, 2207.3, .83796, 1579.5, .0271650},
733 {14.127, .0040596, 5.8304, .37755, 3645.9, .87823, 3411.8, .0163920},
734 { 6.6948, .0040603, 4.9361, .47961, 2719.0, .85249, 1885.8, .0197130},
735 { 3.0619, .0040511, 3.5803, .59082, 2346.1, .83713, 1222.0, .0200720},
736 {10.811, .0033008, 1.3767, .76512, 2003.7, .82269, 1110.6, .0249580},
737 { 2.7101, .0040961, 1.2289, .98598, 1232.4, .79066, 155.42, .0472940},
738 { .52345, .0040244, 1.4038, .8551, 1461.4, .79677, 503.34, .0367890},
739 { .4616, .0040203, 1.3014, .87043, 1473.5, .79687, 443.09, .0363010},
740 { .97814, .0040374, 2.0127, .7225, 1890.8, .81747, 930.7, .02769},
741 { 3.2086, .004051, 3.6658, .53618, 3091.2, .85602, 1508.1, .0154010},
742 { 2.0035, .0040431, 7.4882, .3561, 4464.3, .88836, 3966.5, .0128390},
743 {15.43, .0039432, 1.1237, .70703, 4595.7, .88437, 1576.5, .0088534},
744 { 3.1512, .0040524, 4.0996, .5425, 3246.3, .85772, 1691.8, .0150580},
745 { 7.1896, .0040588, 8.6927, .35842, 4760.6, .88833, 2888.3, .0110290}, //Pb
746 { 9.3209, .004054, 11.543, .32027, 4866.2, .89124, 3213.4, .0119350},
747 {29.242, .0036195, .16864, 1.1226, 5688.0, .89812, 1033.3, .0071303},
748 { 1.8522, .0039973, 3.1556, .65096, 3755.0, .86383, 1602.0, .0120420},
749 { 3.222, .0040041, 5.9024, .52678, 4040.2, .86804, 1658.4, .0117470},
750 { 9.3412, .0039661, 7.921, .42977, 5180.9, .88773, 2173.2, .0092007},
751 {36.183, .0036003, .58341, .86747, 6990.2, .91082, 1417.1, .0062187},
752 { 5.9284, .0039695, 6.4082, .52122, 4619.5, .88083, 2323.5, .0116270},
753 { 5.2454, .0039744, 6.7969, .48542, 4586.3, .87794, 2481.5, .0112820},
754 {33.702, .0036901, .47257, .89235, 5295.7, .8893, 2053.3, .0091908},
755 {2.7589, .0039806, 3.2092, .66122, 2505.4, .82863, 2065.1, .0228160} //U
756 };
757 
758 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
759 
761 1.0309,
762 0.15976,
763 0.59782,
764 1.0781,
765 1.0486,
766 1.00,
767 1.058,
768 0.93942,
769 0.74562,
770 0.3424,
771 0.45259,
772 0.71074,
773 0.90519,
774 0.97411,
775 0.97184,
776 0.89852,
777 0.70827,
778 0.39816,
779 0.36552,
780 0.62712,
781 0.81707,
782 0.9943,
783 1.1423,
784 1.2381,
785 1.1222,
786 0.92705,
787 1.0047,
788 1.2,
789 1.0661,
790 0.97411,
791 0.84912,
792 0.95,
793 1.0903,
794 1.0429,
795 0.49715,
796 0.37755,
797 0.35211,
798 0.57801,
799 0.77773,
800 1.0207,
801 1.029,
802 1.2542,
803 1.122,
804 1.1241,
805 1.0882,
806 1.2709,
807 1.2542,
808 0.90094,
809 0.74093,
810 0.86054,
811 0.93155,
812 1.0047,
813 0.55379,
814 0.43289,
815 0.32636,
816 0.5131,
817 0.6950,
818 0.72591,
819 0.71202,
820 0.67413,
821 0.71418,
822 0.71453,
823 0.5911,
824 0.70263,
825 0.68049,
826 0.68203,
827 0.68121,
828 0.68532,
829 0.68715,
830 0.61884,
831 0.71801,
832 0.83048,
833 1.1222,
834 1.2381,
835 1.045,
836 1.0733,
837 1.0953,
838 1.2381,
839 1.2879,
840 0.78654,
841 0.66401,
842 0.84912,
843 0.88433,
844 0.80746,
845 0.43357,
846 0.41923,
847 0.43638,
848 0.51464,
849 0.73087,
850 0.81065,
851 1.9578,
852 1.0257
853 };
854 
855 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
856 
858  1.00,
859  1.00,
860  1.10,
861  1.06,
862  1.01,
863  1.03,
864  1.04,
865  0.99,
866  0.95,
867  0.90,
868  0.82,
869  0.81,
870  0.83,
871  0.88,
872  1.00,
873  0.95,
874  0.97,
875  0.99,
876  0.98,
877  0.97,
878  0.98,
879  0.97,
880  0.96,
881  0.93,
882  0.91,
883  0.9,
884  0.88,
885  0.9,
886  0.9,
887  0.9,
888  0.9,
889  0.85,
890  0.9,
891  0.9,
892  0.91,
893  0.92,
894  0.9,
895  0.9,
896  0.9,
897  0.9,
898  0.9,
899  0.88,
900  0.9,
901  0.88,
902  0.88,
903  0.9,
904  0.9,
905  0.88,
906  0.9,
907  0.9,
908  0.9,
909  0.9,
910  0.96,
911  1.2,
912  0.9,
913  0.88,
914  0.88,
915  0.85,
916  0.90,
917  0.90,
918  0.92,
919  0.95,
920  0.99,
921  1.03,
922  1.05,
923  1.07,
924  1.08,
925  1.10,
926  1.08,
927  1.08,
928  1.08,
929  1.08,
930  1.09,
931  1.09,
932  1.10,
933  1.11,
934  1.12,
935  1.13,
936  1.14,
937  1.15,
938  1.17,
939  1.20,
940  1.18,
941  1.17,
942  1.17,
943  1.16,
944  1.16,
945  1.16,
946  1.16,
947  1.16,
948  1.16,
949  1.16
950 };
951 
952 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
953 
955  0.0,
956  1.00794, //H
957  4.0026, //He
958  6.941, //Li
959  9.01218, //Be
960  10.811, //B
961  12.0107, //C
962  14.0067, //N
963  15.9994, //O
964  18.9984, //F
965  20.1797, //Ne
966  22.9898, //Na
967  24.305, //Mg
968  26.9815, //Al
969  28.0855, //Si
970  30.9738, //P
971  32.065, //S
972  35.453, //Cl
973  39.948, //Ar
974  39.0983, //K
975  40.078, //Ca
976  44.9559, //Sc
977  47.867, //Ti
978  50.9415, //V
979  51.9961, //Cr
980  54.938, //Mn
981  55.845, //Fe
982  58.9332, //Co
983  58.6934, //Ni
984  63.546, //Cu
985  65.409, //Zn
986  69.723, //Ga
987  72.64, //Ge
988  74.9216, //As
989  78.96, //Se
990  79.904, //Br
991  83.798, //Kr
992  85.4678, //Rb
993  87.62, //Sr
994  88.9059, //Y
995  91.224, //Zr
996  92.9064, //Nb
997  95.94, //Mo
998  97.9072, //Tc
999  101.07, //Ru
1000  102.906, //Rh
1001  106.42, //Pd
1002  107.868, //Ag
1003  112.411, //Cd
1004  114.818, //In
1005  118.71, //Sn
1006  121.76, //Sb
1007  127.6, //Te
1008  126.904, //I
1009  131.293, //Xe
1010  132.905, //Cs
1011  137.327, //Ba
1012  138.905, //La
1013  140.116, //Ce
1014  140.908, //Pr
1015  144.24, //Nd
1016  144.913, //Pm
1017  150.36, //Sm
1018  151.964, //Eu
1019  157.25, //Gd
1020  158.925, //Tb
1021  162.5, //Dy
1022  164.93, //Ho
1023  167.259, //Er
1024  168.934, //Tm
1025  173.04, //Yb
1026  174.967, //Lu
1027  178.49, //Hf
1028  180.948, //Ta
1029  183.84, //W
1030  186.207, //Re
1031  190.23, //Os
1032  192.217, //Ir
1033  195.078, //Pt
1034  196.967, //Au
1035  200.59, //Hg
1036  204.383, //Tl
1037  207.2, //Pb
1038  208.98, //Bi
1039  208.982, //Po
1040  209.987, //At
1041  222.018, //Rn
1042  223.02, //Fr
1043  226.025, //Ra
1044  227.028, //Ac
1045  232.038, //Th
1046  231.036, //Pa
1047  238.029, //U
1048  237.048, //Np
1049  244.064, //Pu
1050  243.061, //Am
1051  247.07, //Cm
1052  247.07, //Bk
1053  251.08, //Cf
1054  252.083, //Es
1055  257.095, //Fm
1056  258.098, //Md
1057  259.101, //No
1058  262.11, //Lr
1059  261.109, //Rf
1060  262.114, //Db
1061  266.122, //Sg
1062  264.125, //Bh
1063  269.134, //Hs
1064  268.139 //Mt
1065 };
1066 
1067 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
1068 
1069 //LS coefficient for A=atomic weight
1071 { {-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},
1072  {-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},
1073  {-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},
1074  {-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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1177  {-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},
1178  {-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}
1179 };
1180 
1181 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
1182 
1183 //LS coefficient for A=atomic weight * 1.05
1185 {
1186  {-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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1291  {-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},
1292  {-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},
1293  {-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}
1294 };
1295 
1296 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
1297 
1299  9999999, // 0
1300  19.2, // H
1301  41.8, // He
1302  40.0,
1303  63.7,
1304  76.0,
1305  78.0, // C
1306  82.0,
1307  95.0,
1308  115.0,
1309  137.0,
1310  149.0,
1311  156.0,
1312  166.0,
1313  173.0,
1314  173.0,
1315  180.0,
1316  174.0,
1317  188.0,
1318  190.0,
1319  191.0, //Ca (20)
1320  216.0,
1321  233.0,
1322  245.0,
1323  257.0,
1324  272.0,
1325  286.0, //Fe 26
1326  297.0,
1327  311.0,
1328  322.0,
1329  330.0,
1330  334.0,
1331  350.0,
1332  347.0,
1333  348.0,
1334  343.0,
1335  352.0,
1336  363.0,
1337  366.0,
1338  379.0,
1339  393.0,
1340  417.0,
1341  424.0,
1342  428.0,
1343  441.0,
1344  449.0,
1345  470.0,
1346  470.0,
1347  469.0,
1348  488.0,
1349  488.0, //Sn 50
1350  487.0,
1351  485.0,
1352  491.0,
1353  482.0, // Xe 54
1354  488.0,
1355  491.0,
1356  501.0,
1357  523.0,
1358  535.0,
1359  546.0,
1360  560.0,
1361  574.0,
1362  580.0,
1363  591.0,
1364  614.0,
1365  628.0,
1366  650.0,
1367  658.0,
1368  674.0,
1369  684.0,
1370  694.0,
1371  705.0,
1372  718.0,
1373  727.0,
1374  736.0,
1375  746.0,
1376  757.0,
1377  790.0,
1378  790.0, // Au 79
1379  800.0,
1380  810.0,
1381  823.0, //Pb 82
1382  823.0,
1383  830.0,
1384  825.0,
1385  794.0,
1386  827.0,
1387  826.0,
1388  841.0,
1389  847.0,
1390  878.0,
1391  890.0, // U 92
1392  900.0,
1393  910.0,
1394  920.0,
1395  930.0,
1396  940.0,
1397  950.0,
1398  960.0,
1399  970.0,
1400  980.0,
1401  990.0,
1402  1000.0,
1403  1010.0,
1404  1020.0,
1405  1030.0,
1406  1040.0,
1407  1050.0,
1408  1060.0,
1409  1070.0,
1410  1080.0,
1411  1090.0,
1412  1100.0,
1413  1110.0,
1414  1120.0,
1415  1130.0,
1416  1140.0,
1417  1150.0,
1418  1160.0,
1419  1170.0,
1420  };
1421 
1422 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
1423 
1425 1.8639, 2.2017, 0.1304, 0.0592, 0.0305, -.0178, 1.7378, 1.7541, 1.8433, 2.0735,
1426 0.2880, 0.1499, 0.1708, 0.2014, 0.1696, 0.1580, 1.5555, 1.7635, 0.3851, 0.3228,
1427 0.1640, 0.0957, 0.0691, 0.0340, 0.0447, -.0012, -.0187, -.0566, -.0254, 0.0049,
1428 0.2267, 0.3376, 0.1767, 0.2258, 1.5262, 1.7158, 0.5737, 0.4585, 0.3608, 0.2957,
1429 0.1785, 0.2267, 0.0949, 0.0599, 0.0576, 0.0563, 0.0657, 0.1281, 0.2406, 0.2879,
1430 0.3189, 0.3296, 0.0549, 1.5630, 0.5473, 0.4190, 0.3161, 0.2713, 0.2333, 0.1984,
1431 0.1627, 0.1520, 0.1888, 0.1058, 0.0947, 0.0822, 0.0761, 0.0648, 0.0812, 0.1199,
1432 0.1560, 0.1965, 0.2117, 0.2167, 0.0559, 0.0891, 0.0819, 0.1484, 0.2021, 0.2756,
1433 0.3491, 0.3776, 0.4152, 0.4267, 0.4300, 1.5368, 0.6000, 0.5991, 0.4559, 0.4202,
1434 0.3144, 0.2260 };
1435 
1436 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
1437 
1439 3.2718, 3.6122, 1.6397, 1.6922, 1.9688, 2.3415, 4.1323, 4.3213, 4.4096, 4.6421,
1440 3.1962, 3.0668, 3.0127, 2.8715, 2.7815, 2.7159, 4.2994, 4.4855, 3.1724, 3.1191,
1441 3.0593, 3.0386, 3.0322, 3.0451, 3.1074, 3.1531, 3.1790, 3.1851, 3.2792, 3.3668,
1442 3.5434, 3.6096, 3.5702, 3.6264, 4.9899, 5.0748, 3.7995, 3.6778, 3.5542, 3.4890,
1443 3.2201, 3.2784, 3.1253, 3.0834, 3.1069, 3.0555, 3.1074, 3.1667, 3.2032, 3.2959,
1444 3.3489, 3.4418, 3.2596, 4.7371, 3.5914, 3.4547, 3.3293, 3.3432, 3.2773, 3.3063,
1445 3.3199, 3.3460, 3.4633, 3.3932, 3.4224, 3.4474, 3.4782, 3.4922, 3.5085, 3.6246,
1446 3.5218, 3.4337, 3.4805, 3.4960, 3.4845, 3.5414, 3.5480, 3.6212, 3.6979, 3.7275,
1447 3.8044, 3.8073, 3.8248, 3.8293, 4.0000, 4.9889, 4.0000, 3.9428, 3.7966, 3.7681,
1448 3.5079, 3.3721 };
1449 
1450 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
1451 
1453  0.14092, 0.13443, 0.95136, 0.80392, 0.56224, 0.26142, 0.15349, 0.11778, 0.11083, .08064,
1454  0.07772, 0.08163, 0.08024, 0.14921, 0.23610, 0.33992, 0.19849, 0.19714, 0.19827, .15643,
1455  0.15754, 0.15662, 0.15436, 0.15419, 0.14973, 0.14680, 0.14474, 0.16496, 0.14339, .14714,
1456  0.09440, 0.07188, 0.06633, 0.06568, 0.06335, 0.07446, 0.07261, 0.07165, 0.07138, .07177,
1457  0.13883, 0.10525, 0.16572, 0.19342, 0.19205, 0.24178, 0.24585, 0.24609, 0.23879, .18689,
1458  0.16652, 0.13815, 0.23766, 0.23314, 0.18233, 0.18268, 0.18591, 0.18885, 0.23265, .23530,
1459  0.24280, 0.24698, 0.24448, 0.25109, 0.24453, 0.24665, 0.24638, 0.24823, 0.24889, .25295,
1460  0.24033, 0.22918, 0.17798, 0.15509, 0.15184, 0.12751, 0.12690, 0.11128, 0.09756, .11014,
1461  0.09455, 0.09359, 0.09410, 0.09282, 0.09000, 0.20798, 0.08000, 0.08804, 0.08567, 0.08655,
1462  0.14770, 0.19677 };
1463 
1464 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
1465 
1467 9.5835, 11.1393, 3.1221, 2.7847, 2.8477, 2.8680, 10.5400, 10.7004, 10.9653, 11.9041,
1468 5.0526, 4.5297, 4.2395, 4.4351, 4.5214, 4.6659, 11.1421, 11.9480, 5.6423, 5.0396,
1469 4.6949, 4.4450, 4.2659, 4.1781, 4.2702, 4.2911, 4.2601, 4.3115, 4.4190, 4.6906,
1470 4.9353, 5.1411, 5.0510, 5.3210, 11.7307,12.5115,6.4776, 5.9867, 5.4801 , 5.1774,
1471 5.0141, 4.8793, 4.7769, 4.7694, 4.8008, 4.9358, 5.0630, 5.2727, 5.5211, 5.5340,
1472 5.6241, 5.7131, 5.9488, 12.7281, 6.9135, 6.3153, 5.7850, 5.7837, 5.8096, 5.8290,
1473 5.8224, 5.8597, 6.2278, 5.8738, 5.9045, 5.9183, 5.9587, 5.9521, 5.9677, 6.3325,
1474 5.9785, 5.7139, 5.5262, 5.4059, 5.3445, 5.3083, 5.3418, 5.4732, 5.5747, 5.9605,
1475 6.1365, 6.2018, 6.3505, 6.4003, 6.4, 13.2839, 7., 7.0452, 6.3742, 6.2473,
1476 6.0327, 5.8694 };
1477 
1478 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
1479 
1481 5.7273, 5.8347, 2.4993, 2.4339, 2.4512, 2.8697, 3.2125, 3.2913, 3.2962, 3.5771,
1482 3.6452, 3.6166, 3.6345, 3.2546, 2.9158, 2.6456, 2.9702, 2.9618, 2.9233, 3.0745,
1483 3.0517, 3.0302, 3.0163, 2.9896, 2.9796, 2.9632, 2.9502, 2.8430, 2.9044, 2.8652,
1484 3.1314, 3.3306, 3.4176, 3.4317, 3.4670, 3.4051, 3.4177, 3.4435, 3.4585, 3.4533,
1485 3.0930, 3.2549, 2.9738, 2.8707, 2.8633, 2.7239, 2.6899, 2.6772, 2.7144, 2.8576,
1486 2.9319, 3.0354, 2.7276, 2.7414, 2.8866, 2.8906, 2.8828, 2.8592, 2.7331, 2.7050,
1487 2.6674, 2.6403, 2.6245, 2.5977, 2.6056, 2.5849, 2.5726, 2.5573, 2.5469, 2.5141,
1488 2.5643, 2.6155, 2.7623, 2.8447, 2.8627, 2.9608, 2.9658, 3.0417, 3.1101, 3.0519,
1489 3.1450, 3.1608, 3.1671, 3.1830, 1.1111, 2.7409, 1.1111, 3.2454, 3.2683, 3.2610,
1490 2.9845, 2.8171 };
1491 
1492 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
1493 
1495 0.0, 0.00, 0.14, 0.14, 0.14, 0.12, 0.00, 0.00, 0.00, 0.00,
1496 0.08, 0.08, 0.12, 0.14, 0.14, 0.14, 0.00, 0.00, 0.10, 0.14,
1497 0.10, 0.12, 0.14, 0.14, 0.14, 0.12, 0.12, 0.10, 0.08, 0.08,
1498 0.14, 0.14, 0.08, 0.10, 0.00, 0.00, 0.14, 0.14, 0.14, 0.14,
1499 0.14, 0.14, 0.14, 0.14, 0.14, 0.14, 0.14, 0.14, 0.14, 0.14,
1500 0.14, 0.14, 0.00, 0.00, 0.14, 0.14, 0.14, 0.14, 0.14, 0.14,
1501 0.14, 0.14, 0.14, 0.14, 0.14, 0.14, 0.14, 0.14, 0.14, 0.14,
1502 0.14, 0.14, 0.14, 0.14, 0.08, 0.10, 0.10, 0.12, 0.14, 0.14,
1503 0.14, 0.14, 0.14, 0.14, 0.00, 0.00, 0.00, 0.14, 0.14, 0.14,
1504 0.14, 0.14 };
1505 
1506 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
Float_t x
Definition: compare.C:6
virtual G4double ComputeCrossSectionPerAtom(const G4ParticleDefinition *, G4double kineticEnergy, G4double Z, G4double A, G4double cutEnergy, G4double maxEnergy) override
void set(double x, double y, double z)
G4double G4Exp(G4double initial_x)
Exponential Function double precision.
Definition: G4Exp.hh:183
T max(const T t1, const T t2)
brief Return the largest of the two arguments
static const G4double x0[92]
virtual G4ThreeVector & SampleDirection(const G4DynamicParticle *dp, G4double finalTotalEnergy, G4int Z, const G4Material *)=0
G4int SelectRandomAtomNumber(const G4Material *)
Definition: G4VEmModel.cc:313
std::vector< ExP01TrackerHit * > a
Definition: ExP01Classes.hh:33
static constexpr double hbar_Planck
static constexpr double MeV
Definition: G4SIunits.hh:214
G4double GetParticleCharge(const G4ParticleDefinition *, const G4Material *, G4double kineticEnergy)
G4double EffectiveChargeCorrection(const G4ParticleDefinition *, const G4Material *, G4double kineticEnergy)
G4double sezi_dedx_e(const G4double zp, const G4double ep, const G4double at, const G4double zt)
static constexpr double twopi_mc2_rcl2
static const G4double del_0[92]
#define G4endl
Definition: G4ios.hh:61
Float_t y
Definition: compare.C:6
const G4ThreeVector & GetMomentumDirection() const
const char * p
Definition: xmltok.h:285
Double_t z
G4double A23(G4double A) const
Definition: G4Pow.hh:143
const G4String & GetParticleName() const
G4double GetPDGCharge() const
virtual void flatArray(const int size, double *vect)=0
G4double StoppingPower(G4double ap, G4double zp, G4double ep, G4double at, G4double zt)
static const G4double atima_lambda_screening[92]
Hep3Vector & rotateUz(const Hep3Vector &)
Definition: ThreeVector.cc:38
virtual G4double ComputeDEDXPerVolume(const G4Material *, const G4ParticleDefinition *, G4double kineticEnergy, G4double) override
Float_t f2
Double_t beta
void SetProposedMomentumDirection(const G4ThreeVector &dir)
G4double EffectiveChargeSquareRatio(const G4ParticleDefinition *, const G4Material *, G4double kineticEnergy)
G4double GetAtomicMassAmu(const G4String &symb) const
G4double GetPDGMass() const
virtual G4double ComputeCrossSectionPerElectron(const G4ParticleDefinition *, G4double kineticEnergy, G4double cutEnergy, G4double maxEnergy)
G4double G4Log(G4double x)
Definition: G4Log.hh:230
G4double sezi_p_se(const G4double energy, const G4double at, const G4double zt)
Float_t Z
G4ParticleChangeForLoss * GetParticleChangeForLoss()
Definition: G4VEmModel.cc:116
static constexpr double g
Definition: G4SIunits.hh:183
G4ParticleChangeForLoss * fParticleChange
static constexpr double c_squared
G4double GetPDGSpin() const
void SetDeexcitationFlag(G4bool val)
Definition: G4VEmModel.hh:763
double G4double
Definition: G4Types.hh:76
static constexpr double Avogadro
G4EmCorrections * EmCorrections()
static G4Pow * GetInstance()
Definition: G4Pow.cc:57
G4ParticleDefinition * GetDefinition() const
virtual double flat()=0
G4double powA(G4double A, G4double y) const
Definition: G4Pow.hh:242
G4VEmFluctuationModel * GetModelOfFluctuations()
Definition: G4VEmModel.hh:568
static constexpr double electron_mass_c2
static const G4double element_atomic_weights[110]
static const G4double x1[92]
static const G4double proton_stopping_coef[92][8]
G4double dedx_n(const G4double ap, const G4double zp, const G4double ep, const G4double at, const G4double zt)
static constexpr double twopi
Definition: G4SIunits.hh:76
double energy
Definition: plottest35.C:25
static const G4double atima_vfermi[92]
virtual void SampleSecondaries(std::vector< G4DynamicParticle * > *, const G4MaterialCutsCouple *, const G4DynamicParticle *, G4double tmin, G4double maxEnergy) override
virtual G4double MaxSecondaryEnergy(const G4ParticleDefinition *, G4double kinEnergy) override
Float_t f1
G4double GetChargeSquareRatio() const
void SetAngularDistribution(G4VEmAngularDistribution *)
Definition: G4VEmModel.hh:582
Float_t mat
G4double GetMeanExcitationEnergy() const
static const G4double ionisation_potentials_z[121]
static G4Electron * Electron()
Definition: G4Electron.cc:94
static const G4double m0[92]
G4double GetPDGMagneticMoment() const
virtual G4double MinEnergyCut(const G4ParticleDefinition *, const G4MaterialCutsCouple *couple) override
Hep3Vector unit() const
G4double G4ParticleHPJENDLHEData::G4double result
G4double EnergyTable_interpolate(G4double xval, const G4double *y)
static const G4double ls_coefficients_a[110][200]
G4ThreeVector GetMomentum() const
double epsilon(double density, double temperature)
static constexpr double eplus
Definition: G4SIunits.hh:199
int G4lrint(double ad)
Definition: templates.hh:151
int G4int
Definition: G4Types.hh:78
G4double GetA27(G4int Z) const
void SetGenericIon(const G4ParticleDefinition *p)
void SetLowEnergyLimit(G4double)
Definition: G4VEmModel.hh:714
virtual void Initialise(const G4ParticleDefinition *, const G4DataVector &) override
void SetProposedKineticEnergy(G4double proposedKinEnergy)
virtual void SetParticleAndCharge(const G4ParticleDefinition *, G4double q2)
G4bool UseAngularGeneratorFlag() const
Definition: G4VEmModel.hh:672
G4IonisParamMat * GetIonisation() const
Definition: G4Material.hh:227
virtual void CorrectionsAlongStep(const G4MaterialCutsCouple *, const G4DynamicParticle *, G4double &, G4double &, G4double) override
G4double GetZeffective() const
G4ParticleDefinition * theElectron
virtual G4double CrossSectionPerVolume(const G4Material *, const G4ParticleDefinition *, G4double kineticEnergy, G4double cutEnergy, G4double maxEnergy) override
G4double GetKineticEnergy() const
G4GLOB_DLL std::ostream G4cout
static constexpr double cm
Definition: G4SIunits.hh:119
static G4LossTableManager * Instance()
TH1F * h1
G4VEmAngularDistribution * GetAngularDistribution()
Definition: G4VEmModel.hh:575
G4AtimaEnergyLossModel(const G4ParticleDefinition *p=nullptr, const G4String &nam="Atima")
const G4ParticleDefinition * particle
const G4Material * GetMaterial() const
G4double Bethek_dedx_e(G4double ap, G4double zp, G4double ep, G4double at, G4double zt)
G4double GetTotalMomentum() const
void SetParticle(const G4ParticleDefinition *p)
Float_t x2[n_points_geant4]
Definition: compare.C:26
#define DBL_MAX
Definition: templates.hh:83
static constexpr double cm3
Definition: G4SIunits.hh:121
static constexpr double GeV
Definition: G4SIunits.hh:217
static const G4double afermi[92]
G4double GetElectronDensity() const
Definition: G4Material.hh:218
virtual G4double GetParticleCharge(const G4ParticleDefinition *p, const G4Material *mat, G4double kineticEnergy) override
static const G4double ls_coefficients_ahi[110][200]
T min(const T t1, const T t2)
brief Return the smallest of the two arguments
static const G4double c[92]
static G4NistManager * Instance()
G4double GetDensity() const
Definition: G4Material.hh:181