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G4ICRU73QOModel.cc
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25 //
26 // $Id$
27 //
28 // -------------------------------------------------------------------
29 //
30 // GEANT4 Class file
31 //
32 //
33 // File name: G4ICRU73QOModel
34 //
35 // Author: Alexander Bagulya
36 //
37 // Creation date: 21.05.2010
38 //
39 // Modifications:
40 //
41 //
42 // -------------------------------------------------------------------
43 //
44 
45 
46 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
47 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
48 
49 #include "G4ICRU73QOModel.hh"
50 #include "G4PhysicalConstants.hh"
51 #include "G4SystemOfUnits.hh"
52 #include "Randomize.hh"
53 #include "G4Electron.hh"
55 #include "G4LossTableManager.hh"
56 #include "G4AntiProton.hh"
57 
58 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
59 
60 using namespace std;
61 
62 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
63 
65  : G4VEmModel(nam),
66  particle(0),
67  isInitialised(false)
68 {
69  mass = charge = chargeSquare = massRate = ratio = 0.0;
70  if(p) { SetParticle(p); }
71  SetHighEnergyLimit(10.0*MeV);
72 
73  lowestKinEnergy = 5.0*keV;
74 
75  sizeL0 = 67;
76  sizeL1 = 22;
77  sizeL2 = 14;
78 
79  theElectron = G4Electron::Electron();
80 
81  for (G4int i = 0; i < 100; ++i)
82  {
83  indexZ[i] = -1;
84  }
85  for(G4int i = 0; i < NQOELEM; ++i)
86  {
87  if(ZElementAvailable[i] > 0) {
88  indexZ[ZElementAvailable[i]] = i;
89  }
90  }
91  fParticleChange = 0;
92  denEffData = 0;
93 }
94 
95 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
96 
98 {}
99 
100 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
101 
103  const G4DataVector&)
104 {
105  if(p != particle) SetParticle(p);
106 
107  // always false before the run
108  SetDeexcitationFlag(false);
109 
110  if(!isInitialised) {
111  isInitialised = true;
112 
113  G4String pname = particle->GetParticleName();
114  fParticleChange = GetParticleChangeForLoss();
116  denEffData = (*mtab)[0]->GetIonisation()->GetDensityEffectData();
117  }
118 }
119 
120 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
121 
123  const G4ParticleDefinition* p,
124  G4double kineticEnergy,
125  G4double cutEnergy,
126  G4double maxKinEnergy)
127 {
128  G4double cross = 0.0;
129  G4double tmax = MaxSecondaryEnergy(p, kineticEnergy);
130  G4double maxEnergy = std::min(tmax,maxKinEnergy);
131  if(cutEnergy < maxEnergy) {
132 
133  G4double energy = kineticEnergy + mass;
134  G4double energy2 = energy*energy;
135  G4double beta2 = kineticEnergy*(kineticEnergy + 2.0*mass)/energy2;
136  cross = 1.0/cutEnergy - 1.0/maxEnergy - beta2*log(maxEnergy/cutEnergy)/tmax;
137 
138  cross *= CLHEP::twopi_mc2_rcl2*chargeSquare/beta2;
139  }
140 
141  return cross;
142 }
143 
144 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
145 
147  const G4ParticleDefinition* p,
148  G4double kineticEnergy,
150  G4double cutEnergy,
151  G4double maxEnergy)
152 {
154  (p,kineticEnergy,cutEnergy,maxEnergy);
155  return cross;
156 }
157 
158 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
159 
161  const G4Material* material,
162  const G4ParticleDefinition* p,
163  G4double kineticEnergy,
164  G4double cutEnergy,
165  G4double maxEnergy)
166 {
167  G4double eDensity = material->GetElectronDensity();
169  (p,kineticEnergy,cutEnergy,maxEnergy);
170  return cross;
171 }
172 
173 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
174 
176  const G4ParticleDefinition* p,
177  G4double kineticEnergy,
178  G4double cutEnergy)
179 {
180  SetParticle(p);
181  G4double tmax = MaxSecondaryEnergy(p, kineticEnergy);
182  G4double tkin = kineticEnergy/massRate;
183  G4double dedx = 0.0;
184  if(tkin > lowestKinEnergy) { dedx = DEDX(material, tkin); }
185  else { dedx = DEDX(material, lowestKinEnergy)*sqrt(tkin/lowestKinEnergy); }
186 
187  if (cutEnergy < tmax) {
188 
189  G4double tau = kineticEnergy/mass;
190  G4double gam = tau + 1.0;
191  G4double bg2 = tau * (tau+2.0);
192  G4double beta2 = bg2/(gam*gam);
193  G4double x = cutEnergy/tmax;
194 
195  dedx += chargeSquare*( log(x) + (1.0 - x)*beta2 ) * twopi_mc2_rcl2
196  * material->GetElectronDensity()/beta2;
197  }
198  if(dedx < 0.0) { dedx = 0.0; }
199  return dedx;
200 }
201 
202 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
203 
204 G4double G4ICRU73QOModel::DEDX(const G4Material* material,
205  G4double kineticEnergy)
206 {
207  G4double eloss = 0.0;
208  const G4int numberOfElements = material->GetNumberOfElements();
209  const G4double* theAtomicNumDensityVector =
210  material->GetAtomicNumDensityVector();
211 
212  // Bragg's rule calculation
213  const G4ElementVector* theElementVector =
214  material->GetElementVector() ;
215 
216  // loop for the elements in the material
217  for (G4int i=0; i<numberOfElements; ++i)
218  {
219  const G4Element* element = (*theElementVector)[i] ;
220  eloss += DEDXPerElement(G4int(element->GetZ()), kineticEnergy)
221  * theAtomicNumDensityVector[i] * G4int(element->GetZ());
222  }
223  return eloss;
224 }
225 
226 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
227 
228 G4double G4ICRU73QOModel::DEDXPerElement(G4int AtomicNumber,
229  G4double kineticEnergy)
230 {
231  G4int Z = AtomicNumber;
232  if(Z > 97) { Z = 97; }
233  G4int nbOfShells = GetNumberOfShells(Z);
234  if(nbOfShells < 1) { nbOfShells = 1; }
235 
236  G4double v = CLHEP::c_light * std::sqrt( 2.0*kineticEnergy/proton_mass_c2 );
237 
238  G4double fBetheVelocity = CLHEP::fine_structure_const*CLHEP::c_light/v;
239 
240  G4double tau = kineticEnergy/proton_mass_c2;
241  G4double gam = tau + 1.0;
242  G4double bg2 = tau * (tau+2.0);
243  G4double beta2 = bg2/(gam*gam);
244 
245  G4double l0Term = 0, l1Term = 0, l2Term = 0;
246 
247  for (G4int nos = 0; nos < nbOfShells; ++nos){
248 
249  G4double NormalizedEnergy = (2.0*CLHEP::electron_mass_c2*beta2) /
250  GetShellEnergy(Z,nos);
251 
252  G4double shStrength = GetShellStrength(Z,nos);
253 
254  G4double l0 = GetL0(NormalizedEnergy);
255  l0Term += shStrength * l0;
256 
257  G4double l1 = GetL1(NormalizedEnergy);
258  l1Term += shStrength * l1;
259 
260  G4double l2 = GetL2(NormalizedEnergy);
261  l2Term += shStrength * l2;
262 
263  }
264  G4double dedx = 2*CLHEP::twopi_mc2_rcl2*chargeSquare*factorBethe[Z]*
265  (l0Term + charge*fBetheVelocity*l1Term
266  + chargeSquare*fBetheVelocity*fBetheVelocity*l2Term)/beta2;
267  return dedx;
268 }
269 
270 
271 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
272 
273 G4double G4ICRU73QOModel::GetOscillatorEnergy(G4int Z,
274  G4int nbOfTheShell) const
275 {
276  G4int idx = denEffData->GetElementIndex(Z, kStateUndefined);
277  if(idx == -1) { idx = denEffData->GetElementIndex(Z-1, kStateUndefined); }
278  G4double PlasmaEnergy = denEffData->GetPlasmaEnergy(idx);
279 
280  G4double PlasmaEnergy2 = PlasmaEnergy * PlasmaEnergy;
281 
282  G4double plasmonTerm = 0.66667 * G4AtomicShells::GetNumberOfElectrons(Z,nbOfTheShell)
283  * PlasmaEnergy2 / (Z*Z) ;
284 
285  G4double ionTerm = std::exp(0.5) * (G4AtomicShells::GetBindingEnergy(Z,nbOfTheShell)) ;
286  G4double ionTerm2 = ionTerm*ionTerm ;
287 
288  G4double oscShellEnergy = std::sqrt( ionTerm2 + plasmonTerm );
289 
290  return oscShellEnergy;
291 }
292 
293 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
294 
295 G4double G4ICRU73QOModel::GetL0(G4double normEnergy) const
296 {
297  G4int n;
298 
299  for(n = 0; n < sizeL0; n++) {
300  if( normEnergy < L0[n][0] ) break;
301  }
302  if(0 == n) { n = 1; }
303  if(n >= sizeL0) { n = sizeL0 - 1; }
304 
305  G4double l0 = L0[n][1];
306  G4double l0p = L0[n-1][1];
307  G4double bethe = l0p + (l0 - l0p) * ( normEnergy - L0[n-1][0]) /
308  (L0[n][0] - L0[n-1][0]);
309 
310  return bethe ;
311 }
312 
313 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
314 
315 G4double G4ICRU73QOModel::GetL1(G4double normEnergy) const
316 {
317  G4int n;
318 
319  for(n = 0; n < sizeL1; n++) {
320  if( normEnergy < L1[n][0] ) break;
321  }
322  if(0 == n) n = 1 ;
323  if(n >= sizeL1) n = sizeL1 - 1 ;
324 
325  G4double l1 = L1[n][1];
326  G4double l1p = L1[n-1][1];
327  G4double barkas= l1p + (l1 - l1p) * ( normEnergy - L1[n-1][0]) /
328  (L1[n][0] - L1[n-1][0]);
329 
330  return barkas;
331 }
332 
333 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
334 
335 G4double G4ICRU73QOModel::GetL2(G4double normEnergy) const
336 {
337  G4int n;
338  for(n = 0; n < sizeL2; n++) {
339  if( normEnergy < L2[n][0] ) break;
340  }
341  if(0 == n) n = 1 ;
342  if(n >= sizeL2) n = sizeL2 - 1 ;
343 
344  G4double l2 = L2[n][1];
345  G4double l2p = L2[n-1][1];
346  G4double bloch = l2p + (l2 - l2p) * ( normEnergy - L2[n-1][0]) /
347  (L2[n][0] - L2[n-1][0]);
348 
349  return bloch;
350 }
351 
352 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
353 
355  const G4DynamicParticle*,
356  G4double&,
357  G4double&,
358  G4double)
359 {}
360 
361 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
362 
363 void G4ICRU73QOModel::SampleSecondaries(std::vector<G4DynamicParticle*>* vdp,
364  const G4MaterialCutsCouple*,
365  const G4DynamicParticle* dp,
366  G4double xmin,
367  G4double maxEnergy)
368 {
369  G4double tmax = MaxSecondaryKinEnergy(dp);
370  G4double xmax = std::min(tmax, maxEnergy);
371  if(xmin >= xmax) { return; }
372 
373  G4double kineticEnergy = dp->GetKineticEnergy();
374  G4double energy = kineticEnergy + mass;
375  G4double energy2 = energy*energy;
376  G4double beta2 = kineticEnergy*(kineticEnergy + 2.0*mass)/energy2;
377  G4double grej = 1.0;
378  G4double deltaKinEnergy, f;
379 
380  G4ThreeVector direction = dp->GetMomentumDirection();
381 
382  // sampling follows ...
383  do {
385  deltaKinEnergy = xmin*xmax/(xmin*(1.0 - x) + xmax*x);
386 
387  f = 1.0 - beta2*deltaKinEnergy/tmax;
388 
389  if(f > grej) {
390  G4cout << "G4ICRU73QOModel::SampleSecondary Warning! "
391  << "Majorant " << grej << " < "
392  << f << " for e= " << deltaKinEnergy
393  << G4endl;
394  }
395 
396  } while( grej*G4UniformRand() >= f );
397 
398  G4double deltaMomentum =
399  sqrt(deltaKinEnergy * (deltaKinEnergy + 2.0*electron_mass_c2));
400  G4double totMomentum = energy*sqrt(beta2);
401  G4double cost = deltaKinEnergy * (energy + electron_mass_c2) /
402  (deltaMomentum * totMomentum);
403  if(cost > 1.0) { cost = 1.0; }
404  G4double sint = sqrt((1.0 - cost)*(1.0 + cost));
405 
406  G4double phi = twopi * G4UniformRand() ;
407 
408  G4ThreeVector deltaDirection(sint*cos(phi),sint*sin(phi), cost) ;
409  deltaDirection.rotateUz(direction);
410 
411  // Change kinematics of primary particle
412  kineticEnergy -= deltaKinEnergy;
413  G4ThreeVector finalP = direction*totMomentum - deltaDirection*deltaMomentum;
414  finalP = finalP.unit();
415 
416  fParticleChange->SetProposedKineticEnergy(kineticEnergy);
417  fParticleChange->SetProposedMomentumDirection(finalP);
418 
419  // create G4DynamicParticle object for delta ray
420  G4DynamicParticle* delta = new G4DynamicParticle(theElectron,deltaDirection,
421  deltaKinEnergy);
422 
423  vdp->push_back(delta);
424 }
425 
426 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
427 
429  G4double kinEnergy)
430 {
431  if(pd != particle) { SetParticle(pd); }
432  G4double tau = kinEnergy/mass;
433  G4double tmax = 2.0*electron_mass_c2*tau*(tau + 2.) /
434  (1. + 2.0*(tau + 1.)*ratio + ratio*ratio);
435  return tmax;
436 }
437 
438 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
439 
440 const G4int G4ICRU73QOModel::ZElementAvailable[NQOELEM] = {1,2,4,6,7,8,10,13,14,-18,
441  22,26,28,29,32,36,42,47,
442  50,54,73,74,78,79,82,92};
443 
444 const G4int G4ICRU73QOModel::nbofShellsForElement[NQOELEM] = {1,1,2,3,3,3,3,4,5,4,
445  5,5,5,5,6,4,6,6,
446  7,6,6,8,7,7,9,9};
447 
448 const G4int G4ICRU73QOModel::startElemIndex[NQOELEM] = {0,1,2,4,7,10,13,16,20,25,
449  29,34,39,44,49,55,59,65,
450  71,78,84,90,98,105,112,121};
451 
452 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
453 
454 // SubShellOccupation = Z * ShellStrength
455 const G4double G4ICRU73QOModel::SubShellOccupation[NQODATA] =
456  {
457  1.000, // H 0
458  2.000, // He 1
459  1.930, 2.070, // Be 2-3
460  1.992, 1.841, 2.167, // C 4-6
461  1.741, 1.680, 3.579, // N 7-9
462  1.802, 1.849, 4.349, // O 10-12
463  1.788, 2.028, 6.184, // Ne 13-15
464  1.623, 2.147, 6.259, 2.971, // Al 16-19
465  1.631, 2.094, 6.588, 2.041, 1.646, // Si 20-24
466  1.535, 8.655, 1.706, 6.104, // Ar 25-28
467  1.581, 8.358, 8.183, 2.000, 1.878, // Ti 29-33
468  1.516, 8.325, 8.461, 6.579, 1.119, // Fe 34-38
469  1.422, 7.81, 8.385, 8.216, 2.167, // Ni 39-43
470  1.458, 8.049, 8.79, 9.695, 1.008, // Cu 44-48
471  1.442, 7.791, 7.837, 10.122, 2.463, 2.345, // Ge 49-54
472  1.645, 7.765, 19.192, 7.398, // Kr 55-58
473  1.313, 6.409, 19.229, 8.633, 5.036, 1.380, // Mo 59-64
474  1.295, 6.219, 18.751, 8.748, 10.184, 1.803, // Ag 65-70
475  1.277, 6.099, 20.386, 8.011, 10.007, 2.272, 1.948, // Sn 71-77
476  1.563, 6.312, 21.868, 5.762, 11.245, 7.250, // Xe 78-83
477  0.9198, 6.5408, 18.9727, 24.9149, 15.0161, 6.6284, // Ta 84-89
478  1.202, 5.582, 19.527, 18.741, 8.411, 14.387, 4.042, 2.108, // W 90-97
479  1.159, 5.467, 18.802, 33.905, 8.300, 9.342, 1.025, // Pt 98-104
480  1.124, 5.331, 18.078, 34.604, 8.127, 10.414, 1.322, // Au 105-111
481  2.000, 8.000, 18.000, 18.000, 14.000, 8.000, 10.000, 2.000, 2.000, // Pb 112-120
482  2.000, 8.000, 18.000, 32.000, 18.000, 8.000, 2.000, 1.000, 3.000 // U 121-129
483 };
484 
485 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
486 
487 // ShellEnergy in eV
488 const G4double G4ICRU73QOModel::ShellEnergy[NQODATA] =
489  {
490  19.2, // H
491  41.8, // He
492  209.11, 21.68, // Be
493  486.2, 60.95, 23.43, // C
494  732.61, 100.646, 23.550, // N
495  965.1, 129.85, 31.60, // O
496  1525.9, 234.9, 56.18, // Ne
497  2701, 476.5, 150.42, 16.89, // Al
498  3206.1, 586.4, 186.8, 23.52, 14.91, // Si
499  5551.6, 472.43, 124.85, 22.332, // Ar
500  8554.6, 850.58, 93.47, 39.19, 19.46, // Ti
501  12254.7, 1279.29, 200.35, 49.19, 17.66, // Fe
502  14346.9, 1532.28, 262.71, 74.37, 23.03, // Ni
503  15438.5, 1667.96, 294.1, 70.69, 16.447, // Cu
504  19022.1, 2150.79, 455.79, 179.87, 57.89, 20.95, // Ge
505  24643, 2906.4, 366.85, 22.24, // Kr
506  34394, 4365.3, 589.36, 129.42, 35.59, 18.42, // Mo
507  43664.3, 5824.91, 909.79, 175.47, 54.89, 19.63, // Ag
508  49948, 6818.2, 1036.1, 172.65, 70.89, 33.87, 14.54, // Sn
509  58987, 8159, 1296.6, 356.75, 101.03, 16.52, // Xe
510  88926, 18012, 3210, 575, 108.7, 30.8, // Ta
511  115025.9, 17827.44, 3214.36, 750.41, 305.21, 105.50, 38.09, 21.25, // W
512  128342, 20254, 3601.8, 608.1, 115.0, 42.75, 17.04, // Pt
513  131872, 20903, 3757.4, 682.1, 105.2, 44.89, 17.575, // Au
514  154449, 25067, 5105.0, 987.44, 247.59, 188.1, 40.61, 19.2, 15.17, // Pb
515  167282, 27868, 6022.7, 1020.4, 244.81, 51.33, 13, 11.06, 14.43 // U
516 };
517 
518 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
519 
520 // Data for L0 from: Sigmund P., Haagerup U. Phys. Rev. A34 (1986) 892-910
521 const G4double G4ICRU73QOModel::L0[67][2] =
522 {
523  {0.00, 0.000001},
524  {0.10, 0.000001},
525  {0.12, 0.00001},
526  {0.14, 0.00005},
527  {0.16, 0.00014},
528  {0.18, 0.00030},
529  {0.20, 0.00057},
530  {0.25, 0.00189},
531  {0.30, 0.00429},
532  {0.35, 0.00784},
533  {0.40, 0.01248},
534  {0.45, 0.01811},
535  {0.50, 0.02462},
536  {0.60, 0.03980},
537  {0.70, 0.05731},
538  {0.80, 0.07662},
539  {0.90, 0.09733},
540  {1.00, 0.11916},
541  {1.20, 0.16532},
542  {1.40, 0.21376},
543  {1.60, 0.26362},
544  {1.80, 0.31428},
545  {2.00, 0.36532},
546  {2.50, 0.49272},
547  {3.00, 0.61765},
548  {3.50, 0.73863},
549  {4.00, 0.85496},
550  {4.50, 0.96634},
551  {5.00, 1.07272},
552  {6.00, 1.27086},
553  {7.00, 1.45075},
554  {8.00, 1.61412},
555  {9.00, 1.76277},
556  {10.00, 1.89836},
557  {12.00, 2.13625},
558  {14.00, 2.33787},
559  {16.00, 2.51093},
560  {18.00, 2.66134},
561  {20.00, 2.79358},
562  {25.00, 3.06539},
563  {30.00, 3.27902},
564  {35.00, 3.45430},
565  {40.00, 3.60281},
566  {45.00, 3.73167},
567  {50.00, 3.84555},
568  {60.00, 4.04011},
569  {70.00, 4.20264},
570  {80.00, 4.34229},
571  {90.00, 4.46474},
572  {100.00, 4.57378},
573  {120.00, 4.76155},
574  {140.00, 4.91953},
575  {160.00, 5.05590},
576  {180.00, 5.17588},
577  {200.00, 5.28299},
578  {250.00, 5.50925},
579  {300.00, 5.69364},
580  {350.00, 5.84926},
581  {400.00, 5.98388},
582  {450.00, 6.10252},
583  {500.00, 6.20856},
584  {600.00, 6.39189},
585  {700.00, 6.54677},
586  {800.00, 6.68084},
587  {900.00, 6.79905},
588  {1000.00, 6.90474}
589 };
590 
591 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
592 
593 // Data for L1 from: Mikkelsen H.H., Sigmund P. Phys. Rev. A40 (1989) 101-116
594 const G4double G4ICRU73QOModel::L1[22][2] =
595 {
596  {0.00, -0.000001},
597  {0.10, -0.00001},
598  {0.20, -0.00049},
599  {0.30, -0.00084},
600  {0.40, 0.00085},
601  {0.50, 0.00519},
602  {0.60, 0.01198},
603  {0.70, 0.02074},
604  {0.80, 0.03133},
605  {0.90, 0.04369},
606  {1.00, 0.06035},
607  {2.00, 0.24023},
608  {3.00, 0.44284},
609  {4.00, 0.62012},
610  {5.00, 0.77031},
611  {6.00, 0.90390},
612  {7.00, 1.02705},
613  {8.00, 1.10867},
614  {9.00, 1.17546},
615  {10.00, 1.21599},
616  {15.00, 1.24349},
617  {20.00, 1.16752}
618 };
619 
620 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
621 
622 // Data for L2 from: Mikkelsen H.H. Nucl. Instr. Meth. B58 (1991) 136-148
623 const G4double G4ICRU73QOModel::L2[14][2] =
624 {
625  {0.00, 0.000001},
626  {0.10, 0.00001},
627  {0.20, 0.00000},
628  {0.40, -0.00120},
629  {0.60, -0.00036},
630  {0.80, 0.00372},
631  {1.00, 0.01298},
632  {2.00, 0.08296},
633  {4.00, 0.21953},
634  {6.00, 0.23903},
635  {8.00, 0.20893},
636  {10.00, 0.10879},
637  {20.00, -0.88409},
638  {40.00, -1.13902}
639 };
640 
641 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
642 
643 // Correction obtained by V.Ivanchenko using G4BetheBlochModel
644 const G4double G4ICRU73QOModel::factorBethe[99] = { 1.0,
645 0.9637, 0.9872, 0.9469, 0.9875, 0.91, 0.989, 0.9507, 0.9773, 0.8621, 0.979, // 1 - 10
646 0.8357, 0.868, 0.9417, 0.9466, 0.8911, 0.905, 0.944, 0.9607, 0.928, 0.96, // 11 - 20
647 0.9098, 0.976, 0.8425, 0.8099, 0.7858, 0.947, 0.7248, 0.9106, 0.9246, 0.6821, // 21 - 30
648 0.7223, 0.9784, 0.774, 0.7953, 0.829, 0.9405, 0.8318, 0.8583, 0.8563, 0.8481, // 31 - 40
649 0.8207, 0.9033, 0.8063, 0.7837, 0.7818, 0.744, 0.875, 0.7693, 0.7871, 0.8459, // 41 - 50
650 0.8231, 0.8462, 0.853, 0.8736, 0.856, 0.8762, 0.8629, 0.8323, 0.8064, 0.7828, // 51 - 60
651 0.7533, 0.7273, 0.7093, 0.7157, 0.6823, 0.6612, 0.6418, 0.6395, 0.6323, 0.6221, // 61 - 70
652 0.6497, 0.6746, 0.8568, 0.8541, 0.6958, 0.6962, 0.7051, 0.863, 0.8588, 0.7226, // 71 - 80
653 0.7454, 0.78, 0.7783, 0.7996, 0.8216, 0.8632, 0.8558, 0.8792, 0.8745, 0.8676, // 81 - 90
654 0.8321, 0.8272, 0.7999, 0.7934, 0.7787, 0.7851, 0.7692, 0.7598};