source: trunk/source/processes/electromagnetic/lowenergy/src/G4PenelopeRayleigh.cc@ 1058

Last change on this file since 1058 was 1055, checked in by garnier, 17 years ago

maj sur la beta de geant 4.9.3

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[819]1//
2// ********************************************************************
3// * License and Disclaimer *
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5// * The Geant4 software is copyright of the Copyright Holders of *
6// * the Geant4 Collaboration. It is provided under the terms and *
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11// * Neither the authors of this software system, nor their employing *
12// * institutes,nor the agencies providing financial support for this *
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14// * regarding this software system or assume any liability for its *
15// * use. Please see the license in the file LICENSE and URL above *
16// * for the full disclaimer and the limitation of liability. *
17// * *
18// * This code implementation is the result of the scientific and *
19// * technical work of the GEANT4 collaboration. *
20// * By using, copying, modifying or distributing the software (or *
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24// ********************************************************************
25//
26// --------------------------------------------------------------------
27//
[1055]28// $Id: G4PenelopeRayleigh.cc,v 1.17 2009/05/02 09:59:17 sincerti Exp $
29// GEANT4 tag $Name: geant4-09-03-beta-cand-01 $
[819]30//
31// Author: L. Pandola (luciano.pandola@cern.ch)
32//
33// History:
34// --------
35// 14 Feb 2003 MG Pia Corrected compilation errors and warnings
36// from SUN
37// 10 Mar 2003 V.Ivanchenko Remove CutPerMaterial warning
38// 12 Mar 2003 L.Pandola Code "cleaned" - Cuts per region
39// 17 Mar 2004 L.Pandola Removed unnecessary calls to std::pow(a,b)
40// 18 Mar 2004 M.Mendenhall Introduced SamplingTable (performance improvement)
41// 03 Sep 2007 L.Pandola Bug fix for the filling of physics table for
42// compounds defined by the mass fraction (bug #965)
[1055]43// 02 Apr 2009 L.Pandola Bux fixed in the calculation of mfp for compound
44// materials defined as fraction of mass
45// (reported by Zhang Qiwei)
[819]46// --------------------------------------------------------------------
47
48#include "G4PenelopeRayleigh.hh"
49#include "Randomize.hh"
50#include "G4ParticleDefinition.hh"
51#include "G4Track.hh"
52#include "G4Step.hh"
53#include "G4ForceCondition.hh"
54#include "G4Gamma.hh"
55#include "G4Electron.hh"
56#include "G4DynamicParticle.hh"
57#include "G4VParticleChange.hh"
58#include "G4ThreeVector.hh"
59#include "G4VCrossSectionHandler.hh"
60#include "G4CrossSectionHandler.hh"
61#include "G4VEMDataSet.hh"
62#include "G4EMDataSet.hh"
63#include "G4CompositeEMDataSet.hh"
64#include "G4VDataSetAlgorithm.hh"
65#include "G4LogLogInterpolation.hh"
66#include "G4PenelopeIntegrator.hh"
67#include "G4MaterialCutsCouple.hh"
68
69G4PenelopeRayleigh::G4PenelopeRayleigh(const G4String& processName)
70 : G4VDiscreteProcess(processName),
71 lowEnergyLimit(250*eV),
72 highEnergyLimit(100*GeV),
73 samplingConstant(0.0),
74 nBins(200),
75 intrinsicLowEnergyLimit(10*eV),
76 intrinsicHighEnergyLimit(100*GeV)
77
78{
79 if (lowEnergyLimit < intrinsicLowEnergyLimit ||
80 highEnergyLimit > intrinsicHighEnergyLimit)
81 {
82 G4Exception("G4PenelopeRayleigh::G4PenelopeRayleigh - energy limit outside intrinsic process validity range");
83 }
84
85 samplingFunction_x = 0;
86 samplingFunction_y = 0;
87 meanFreePathTable = 0;
88 material = 0;
89
90 if (verboseLevel > 0)
91 {
92 G4cout << GetProcessName() << " is created " << G4endl
93 << "Energy range: "
94 << lowEnergyLimit / keV << " keV - "
95 << highEnergyLimit / GeV << " GeV"
96 << G4endl;
97 }
[1055]98
99 G4cout << G4endl;
100 G4cout << "*******************************************************************************" << G4endl;
101 G4cout << "*******************************************************************************" << G4endl;
102 G4cout << " The class G4PenelopeRayleigh is NOT SUPPORTED ANYMORE. " << G4endl;
103 G4cout << " It will be REMOVED with the next major release of Geant4. " << G4endl;
104 G4cout << " Please consult: https://twiki.cern.ch/twiki/bin/view/Geant4/LoweProcesses" << G4endl;
105 G4cout << "*******************************************************************************" << G4endl;
106 G4cout << "*******************************************************************************" << G4endl;
107 G4cout << G4endl;
[819]108}
109
110G4PenelopeRayleigh::~G4PenelopeRayleigh()
111{
112 delete meanFreePathTable;
113
114 SamplingTablePair::iterator i;
115 for(i=SamplingTables.begin(); i != SamplingTables.end(); i++) {
116 delete (*i).second.first;
117 delete (*i).second.second;
118 }
119}
120
121
122void G4PenelopeRayleigh::BuildPhysicsTable(const G4ParticleDefinition& )
123{
124
125 G4DataVector energyVector;
126 G4double dBin = std::log10(highEnergyLimit/lowEnergyLimit)/nBins;
127 for (G4int i=0;i<nBins;i++)
128 {
129 energyVector.push_back(std::pow(10.,std::log10(lowEnergyLimit)+i*dBin));
130 }
131
132 const G4MaterialTable* materialTable = G4Material::GetMaterialTable();
133 G4int nMaterials = G4Material::GetNumberOfMaterials();
134
135 size_t nOfBins = energyVector.size();
136 size_t bin=0;
137
138 G4VDataSetAlgorithm* algo = new G4LogLogInterpolation();
139 G4VEMDataSet* materialSet = new G4CompositeEMDataSet(algo,1.,1.);
140 std::vector<G4VEMDataSet*> matCrossSections;
141
142 G4int m;
143 for (m=0; m<nMaterials; m++)
144 {
145 G4DataVector* energies = new G4DataVector;
146 G4DataVector* data = new G4DataVector;
147 material = (*materialTable)[m];
148
149 G4int nElements = material->GetNumberOfElements();
150 const G4ElementVector* elementVector = material->GetElementVector();
151 const G4double k1=849.3315;
152
153
154 G4int IZZ=0;
155 G4int iright=0;
156 for (G4int i=0; i<nElements; i++) {
157 G4int Z = (G4int) (*elementVector)[i]->GetZ();
158 if (Z>IZZ){
159 IZZ = Z;
160 iright=i;
161 }
162 }
163 for (bin=0; bin<nOfBins; bin++)
164 {
165 energies->push_back(energyVector[bin]);
166 G4double ec=std::min(energyVector[bin],0.5*IZZ);
167 G4double energyRatio = ec/electron_mass_c2;
168 facte = k1*energyRatio*energyRatio;
169 G4double cs=0;
170 G4PenelopeIntegrator<G4PenelopeRayleigh,G4double(G4PenelopeRayleigh::*)(G4double)> theIntegrator;
171 cs =
172 theIntegrator.Calculate(this,&G4PenelopeRayleigh::DifferentialCrossSection,-1.0,0.90,1e-06);
173 cs += theIntegrator.Calculate(this,&G4PenelopeRayleigh::DifferentialCrossSection,0.90,0.9999999,1e-06);
174 cs = cs*(ec/energyVector[bin])*(ec/energyVector[bin])*pi*classic_electr_radius*classic_electr_radius;
175 const G4double* vector_of_atoms = material->GetVecNbOfAtomsPerVolume();
176 const G4int* stechiometric = material->GetAtomsVector();
[1055]177 //cs is the cross section _per atom_ in the case of compounds, while it is
178 //_per molecule_ in the case of molecules
179 G4double density = material->GetTotNbOfAtomsPerVolume(); //non-bound molecules (default)
[819]180 if (stechiometric)
181 {
182 if (stechiometric[iright])
183 density = vector_of_atoms[iright]/stechiometric[iright]; //number of molecules per volume
184 }
185 G4double cross = density*cs;
186 data->push_back(cross);
187 }
188 G4VEMDataSet* elSet = new G4EMDataSet(0,energies,data,algo);
189 G4VEMDataSet* setForMat = new G4CompositeEMDataSet(algo);
190 setForMat->AddComponent(elSet);
191 matCrossSections.push_back(setForMat);
192 }
193 G4double matCS = 0.0;
194
195 for (m=0; m<nMaterials; m++)
196 {
197 G4DataVector* energies = new G4DataVector;
198 G4DataVector* data = new G4DataVector;
199 for (bin=0;bin<nOfBins;bin++){
200 energies->push_back(energyVector[bin]);
201 matCS = (matCrossSections[m]->GetComponent(0))->FindValue(energyVector[bin]);
202 if (matCS > 0.){
203 data->push_back(1./matCS);
204 }
205 else
206 {
207 data->push_back(DBL_MAX);
208 }
209 }
210 G4VEMDataSet* dataSet = new G4EMDataSet(m,energies,data,algo,1.,1.);
211 materialSet->AddComponent(dataSet);
212 }
213 meanFreePathTable = materialSet;
214}
215
216G4VParticleChange* G4PenelopeRayleigh::PostStepDoIt(const G4Track& aTrack,
217 const G4Step& aStep)
218{
219 aParticleChange.Initialize(aTrack);
220
221 const G4DynamicParticle* incidentPhoton = aTrack.GetDynamicParticle();
222 G4double photonEnergy0 = incidentPhoton->GetKineticEnergy();
223
224 if (photonEnergy0 <= lowEnergyLimit)
225 {
226 aParticleChange.ProposeTrackStatus(fStopAndKill);
227 aParticleChange.ProposeEnergy(0.);
228 aParticleChange.ProposeLocalEnergyDeposit(photonEnergy0);
229 return G4VDiscreteProcess::PostStepDoIt(aTrack,aStep);
230 }
231
232
233 G4ParticleMomentum photonDirection0 = incidentPhoton->GetMomentumDirection();
234 const G4MaterialCutsCouple* couple = aTrack.GetMaterialCutsCouple();
235 material = couple->GetMaterial();
236
237 // Sampling inizialitation (build internal table)
238
239 InizialiseSampling();
240
241 // Sample the angle of the scattered photon
242 const G4double xpar=41.2148;
243 G4double x2max = 2.0*std::log(xpar*photonEnergy0/electron_mass_c2);
244 G4int jm;
245 G4int asize = samplingFunction_x->size();
246 if (x2max<(*samplingFunction_x)[1])
247 {
248 jm=0;
249 }
250 else if(x2max>(*samplingFunction_x)[asize-2])
251 {
252 jm=asize-2;
253 }
254 else
255 {
256 jm=(G4int) ((x2max-(*samplingFunction_x)[0])/samplingConstant);
257 }
258 G4double rumax = (*samplingFunction_y)[jm]+((*samplingFunction_y)[jm+1]-(*samplingFunction_y)[jm])*
259 (x2max-(*samplingFunction_x)[jm])/((*samplingFunction_x)[jm+1]-(*samplingFunction_x)[jm]);
260 G4int j,ju,jt;
261 G4double ru,denomin,x2rat;
262 G4double CDT,G,rand;
263 do{
264 ru = rumax + std::log(G4UniformRand());
265 j=0;
266 ju=jm+1;
267 do{
268 jt=(j+ju)/2; //bipartition
269 if (ru > (*samplingFunction_y)[jt])
270 {
271 j=jt;
272 }
273 else
274 {
275 ju=jt;
276 }
277 }while ((ju-j)>1);
278 denomin = (*samplingFunction_y)[j+1]-(*samplingFunction_y)[j];
279 if (denomin > 1e-12)
280 {
281 x2rat = (*samplingFunction_x)[j]+(((*samplingFunction_x)[j+1]-(*samplingFunction_x)[j])*
282 (ru-(*samplingFunction_y)[j])/denomin)-x2max;
283 }
284 else
285 {
286 x2rat = (*samplingFunction_x)[j]-x2max;
287 }
288 CDT = 1.0-2.0*std::exp(x2rat);
289 G = 0.5*(1.0+CDT*CDT);
290 rand = G4UniformRand();
291 }while (rand>G);
292
293 G4double cosTheta = CDT;
294 G4double sinTheta = std::sqrt(1-cosTheta*cosTheta);
295
296
297
298
299 // Scattered photon angles. ( Z - axis along the parent photon)
300 G4double phi = twopi * G4UniformRand() ;
301 G4double dirX = sinTheta*std::cos(phi);
302 G4double dirY = sinTheta*std::sin(phi);
303 G4double dirZ = cosTheta;
304
305 // Update G4VParticleChange for the scattered photon
306 G4ThreeVector photonDirection1(dirX, dirY, dirZ);
307
308 photonDirection1.rotateUz(photonDirection0);
309 aParticleChange.ProposeEnergy(photonEnergy0);
310 aParticleChange.ProposeMomentumDirection(photonDirection1);
311
312 aParticleChange.SetNumberOfSecondaries(0);
313
314 return G4VDiscreteProcess::PostStepDoIt(aTrack, aStep);
315}
316
317G4bool G4PenelopeRayleigh::IsApplicable(const G4ParticleDefinition& particle)
318{
319 return ( &particle == G4Gamma::Gamma() );
320}
321
322G4double G4PenelopeRayleigh::GetMeanFreePath(const G4Track& track,
323 G4double, // previousStepSize
324 G4ForceCondition*)
325{
326 const G4DynamicParticle* photon = track.GetDynamicParticle();
327 G4double energy = photon->GetKineticEnergy();
328 material = track.GetMaterial();
329 size_t materialIndex = material->GetIndex();
330
331 G4double meanFreePath;
332 if (energy > highEnergyLimit) meanFreePath = meanFreePathTable->FindValue(highEnergyLimit,materialIndex);
333 else if (energy < lowEnergyLimit) meanFreePath = DBL_MAX;
334 else
335 {
336 meanFreePath = meanFreePathTable->FindValue(energy,materialIndex);
337 }
338 return meanFreePath;
339}
340
341void G4PenelopeRayleigh::InizialiseSampling()
342{
343 SamplingTablePair::iterator theTable=SamplingTables.find(material);
344 const G4int points=241;
345 G4double Xlow = 0.;
346 G4double Xhigh=1e-04;
347 G4double fact = std::pow((1e06/Xhigh),(1/240.0));
348 samplingConstant=std::log(fact);
349
350 if (theTable==SamplingTables.end()) { //material not inizialized yet
351 samplingFunction_x = new G4DataVector();
352 samplingFunction_y = new G4DataVector();
353 G4double sum = 0.0;
354 G4PenelopeIntegrator<G4PenelopeRayleigh,G4double(G4PenelopeRayleigh::*)(G4double)> theIntegrator;
355 sum = theIntegrator.Calculate(this,&G4PenelopeRayleigh::MolecularFormFactor,
356 Xlow,Xhigh,1e-10);
357 samplingFunction_x->push_back(Xhigh);
358 samplingFunction_y->push_back(sum);
359 G4int i;
360 for (i=1;i<points;i++){
361 Xlow=Xhigh;
362 Xhigh=Xhigh*fact;
363 sum = theIntegrator.Calculate(this,
364 &G4PenelopeRayleigh::MolecularFormFactor,
365 Xlow,Xhigh,1e-10);
366 samplingFunction_x->push_back(Xhigh);
367 samplingFunction_y->push_back(sum+(*samplingFunction_y)[i-1]);
368 }
369 for (i=0;i<points;i++){
370 (*samplingFunction_x)[i]=std::log((*samplingFunction_x)[i]);
371 (*samplingFunction_y)[i]=std::log((*samplingFunction_y)[i]);
372 }
373 SamplingTables[material] = std::pair<G4DataVector*,G4DataVector*> (samplingFunction_x,samplingFunction_y);
374 }
375 else { //material already inizialized
376 samplingFunction_x=(*theTable).second.first;
377 samplingFunction_y=(*theTable).second.second;
378 }
379}
380
381
382G4double G4PenelopeRayleigh::MolecularFormFactor(G4double y)
383{
384 const G4int ntot=95;
385 G4double RA1[ntot] = {0.0e0, 3.9265e+0, 4.3100e+1, 5.2757e+1, 2.5021e+1,
386 1.2211e+1, 9.3229e+0, 3.2455e+0, 2.4197e+0, 1.5985e+0,
387 3.0926e+1, 1.5315e+1, 7.7061e+0, 3.9493e+0, 2.2042e+0,
388 1.9453e+1, 1.9354e+1, 8.0374e+0, 8.3779e+1, 5.7370e+1,
389 5.2310e+1, 4.7514e+1, 4.3785e+1, 4.2048e+1, 3.6972e+1,
390 3.3849e+1, 3.1609e+1, 2.8763e+1, 2.7217e+1, 2.4263e+1,
391 2.2403e+1, 1.8606e+1, 1.5143e+1, 1.4226e+1, 1.1792e+1,
392 9.7574e+0, 1.2796e+1, 1.2854e+1, 1.2368e+1, 1.0208e+1,
393 8.2823e+0, 7.4677e+0, 7.6028e+0, 6.1090e+0, 5.5346e+0,
394 4.2340e+0, 4.0444e+0, 4.2905e+0, 4.7950e+0, 5.1112e+0,
395 5.2407e+0, 5.2153e+0, 5.1639e+0, 4.8814e+0, 5.8054e+0,
396 6.6724e+0, 6.5104e+0, 6.3364e+0, 6.2889e+0, 6.3028e+0,
397 6.3853e+0, 6.3475e+0, 6.5779e+0, 6.8486e+0, 7.0993e+0,
398 7.6122e+0, 7.9681e+0, 8.3481e+0, 6.3875e+0, 8.0042e+0,
399 8.0820e+0, 7.6940e+0, 7.1927e+0, 6.6751e+0, 6.1623e+0,
400 5.8335e+0, 5.5599e+0, 4.6551e+0, 4.4327e+0, 4.7601e+0,
401 5.2872e+0, 5.6084e+0, 5.7680e+0, 5.8041e+0, 5.7566e+0,
402 5.6541e+0, 6.3932e+0, 6.9313e+0, 7.0027e+0, 6.8796e+0,
403 6.4739e+0, 6.2405e+0, 6.0081e+0, 5.5708e+0, 5.3680e+0};
404
405
406 G4double RA2[ntot] = {0.0e0, 1.3426e-1, 9.4875e+1,-1.0896e+2,-4.5494e+1,
407 -1.9572e+1,-1.2382e+1,-3.6827e+0,-2.4542e+0,-1.4453e+0,
408 1.3401e+2, 7.9717e+1, 6.2164e+1, 4.0300e+1, 3.1682e+1,
409 -1.3639e+1,-1.5950e+1,-5.1523e+0, 1.8351e+2, 1.2205e+2,
410 1.0007e+2, 8.5632e+1, 7.9145e+1, 6.3675e+1, 6.2954e+1,
411 5.6601e+1, 5.4171e+1, 4.8752e+1, 3.8062e+1, 3.9933e+1,
412 4.8343e+1, 4.2137e+1, 3.4617e+1, 2.9430e+1, 2.4010e+1,
413 1.9744e+1, 4.0009e+1, 5.1614e+1, 5.0456e+1, 3.9088e+1,
414 2.6824e+1, 2.2953e+1, 2.4773e+1, 1.6893e+1, 1.4548e+1,
415 9.7226e+0, 1.0192e+1, 1.1153e+1, 1.3188e+1, 1.4733e+1,
416 1.5644e+1, 1.5939e+1, 1.5923e+1, 1.5254e+1, 2.0748e+1,
417 2.6901e+1, 2.7032e+1, 2.4938e+1, 2.1528e+1, 2.0362e+1,
418 1.9474e+1, 1.8238e+1, 1.7898e+1, 1.9174e+1, 1.9023e+1,
419 1.8194e+1, 1.8504e+1, 1.8955e+1, 1.4276e+1, 1.7558e+1,
420 1.8651e+1, 1.7984e+1, 1.6793e+1, 1.5469e+1, 1.4143e+1,
421 1.3149e+1, 1.2255e+1, 9.2352e+0, 8.6067e+0, 9.7460e+0,
422 1.1749e+1, 1.3281e+1, 1.4326e+1, 1.4920e+1, 1.5157e+1,
423 1.5131e+1, 1.9489e+1, 2.3649e+1, 2.4686e+1, 2.4760e+1,
424 2.1519e+1, 2.0099e+1, 1.8746e+1, 1.5943e+1, 1.4880e+1};
425
426 G4double RA3[ntot] = {0.0e0, 2.2648e+0, 1.0579e+3, 8.6177e+2, 2.4422e+2,
427 7.8788e+1, 3.8293e+1, 1.2564e+1, 6.9091e+0, 3.7926e+0,
428 0.0000e+0, 0.0000e+0, 1.6759e-9, 1.3026e+1, 3.0569e+0,
429 1.5521e+2, 1.2815e+2, 4.7378e+1, 9.2802e+2, 4.7508e+2,
430 3.6612e+2, 2.7582e+2, 2.1008e+2, 1.5903e+2, 1.2322e+2,
431 9.2898e+1, 7.1345e+1, 5.1651e+1, 3.8474e+1, 2.7410e+1,
432 1.9126e+1, 1.0889e+1, 5.3479e+0, 8.2223e+0, 5.0837e+0,
433 2.8905e+0, 2.7457e+0, 6.7082e-1, 0.0000e+0, 0.0000e+0,
434 0.0000e+0, 0.0000e+0, 0.0000e+0, 0.0000e+0, 0.0000e+0,
435 0.0000e+0, 0.0000e+0, 0.0000e+0, 0.0000e+0, 0.0000e+0,
436 0.0000e+0, 0.0000e+0, 0.0000e+0, 0.0000e+0, 0.0000e+0,
437 0.0000e+0, 0.0000e+0, 0.0000e+0, 1.7264e-1, 2.7322e-1,
438 3.9444e-1, 4.5648e-1, 6.2286e-1, 7.2468e-1, 8.4296e-1,
439 1.1698e+0, 1.2994e+0, 1.4295e+0, 0.0000e+0, 8.1570e-1,
440 6.9349e-1, 4.9536e-1, 3.1211e-1, 1.5931e-1, 2.9512e-2,
441 0.0000e+0, 0.0000e+0, 0.0000e+0, 0.0000e+0, 0.0000e+0,
442 0.0000e+0, 0.0000e+0, 0.0000e+0, 0.0000e+0, 0.0000e+0,
443 0.0000e+0, 0.0000e+0, 0.0000e+0, 0.0000e+0, 0.0000e+0,
444 0.0000e+0, 0.0000e+0, 0.0000e+0, 0.0000e+0, 0.0000e+0};
445
446 G4double RA4[ntot] = {1.1055e1,6.3519e0,4.7367e+1, 3.9402e+1, 2.2896e+1,
447 1.3979e+1, 1.0766e+1, 6.5252e+0, 5.1631e+0, 4.0524e+0,
448 2.7145e+1, 1.8724e+1, 1.4782e+1, 1.1608e+1, 9.7750e+0,
449 1.6170e+1, 1.5249e+1, 9.1916e+0, 5.4499e+1, 4.1381e+1,
450 3.7395e+1, 3.3815e+1, 3.1135e+1, 2.8273e+1, 2.6140e+1,
451 2.3948e+1, 2.2406e+1, 2.0484e+1, 1.8453e+1, 1.7386e+1,
452 1.7301e+1, 1.5388e+1, 1.3411e+1, 1.2668e+1, 1.1133e+1,
453 9.8081e+0, 1.3031e+1, 1.4143e+1, 1.3815e+1, 1.2077e+1,
454 1.0033e+1, 9.2549e+0, 9.5338e+0, 7.9076e+0, 7.3263e+0,
455 5.9996e+0, 6.0087e+0, 6.2660e+0, 6.7914e+0, 7.1501e+0,
456 7.3367e+0, 7.3729e+0, 7.3508e+0, 7.1465e+0, 8.2731e+0,
457 9.3745e+0, 9.3508e+0, 8.9897e+0, 8.4566e+0, 8.2690e+0,
458 8.1398e+0, 7.9183e+0, 7.9123e+0, 8.1677e+0, 8.1871e+0,
459 8.1766e+0, 8.2881e+0, 8.4227e+0, 7.0273e+0, 8.0002e+0,
460 8.1440e+0, 7.9104e+0, 7.5685e+0, 7.1970e+0, 6.8184e+0,
461 6.5469e+0, 6.3056e+0, 5.4844e+0, 5.2832e+0, 5.5889e+0,
462 6.0919e+0, 6.4340e+0, 6.6426e+0, 6.7428e+0, 6.7636e+0,
463 6.7281e+0, 7.5729e+0, 8.2808e+0, 8.4400e+0, 8.4220e+0,
464 7.8662e+0, 7.5993e+0, 7.3353e+0, 6.7829e+0, 6.5520e+0};
465
466 G4double RA5[ntot] = {0.0e0, 4.9828e+0, 5.5674e+1, 3.0902e+1, 1.1496e+1,
467 4.8936e+0, 2.5506e+0, 1.2236e+0, 7.4698e-1, 4.7042e-1,
468 4.7809e+0, 4.6315e+0, 4.3677e+0, 4.9269e+0, 2.6033e+0,
469 9.6229e+0, 7.2592e+0, 4.1634e+0, 1.3999e+1, 8.6975e+0,
470 6.9630e+0, 5.4681e+0, 4.2653e+0, 3.2848e+0, 2.7354e+0,
471 2.1617e+0, 1.7030e+0, 1.2826e+0, 9.7080e-1, 7.2227e-1,
472 5.0874e-1, 3.1402e-1, 1.6360e-1, 3.2918e-1, 2.3570e-1,
473 1.5868e-1, 1.5146e-1, 9.7662e-2, 7.3151e-2, 6.4206e-2,
474 4.8945e-2, 4.3189e-2, 4.4368e-2, 3.3976e-2, 3.0466e-2,
475 2.4477e-2, 3.7202e-2, 3.7093e-2, 3.8161e-2, 3.8576e-2,
476 3.8403e-2, 3.7806e-2, 3.4958e-2, 3.6029e-2, 4.3087e-2,
477 4.7069e-2, 4.6452e-2, 4.2486e-2, 4.1517e-2, 4.1691e-2,
478 4.2813e-2, 4.2294e-2, 4.5287e-2, 4.8462e-2, 4.9726e-2,
479 5.5097e-2, 5.6568e-2, 5.8069e-2, 1.2270e-2, 3.8006e-2,
480 3.5048e-2, 3.0050e-2, 2.5069e-2, 2.0485e-2, 1.6151e-2,
481 1.4631e-2, 1.4034e-2, 1.1978e-2, 1.1522e-2, 1.2375e-2,
482 1.3805e-2, 1.4954e-2, 1.5832e-2, 1.6467e-2, 1.6896e-2,
483 1.7166e-2, 1.9954e-2, 2.2497e-2, 2.1942e-2, 2.1965e-2,
484 2.0005e-2, 1.8927e-2, 1.8167e-2, 1.6314e-2, 1.5522e-2};
485
486 G4double x=std::sqrt(y);
487 G4double gradx1=0.0;
488 G4double fa=0.0;
489
490 G4int nElements = material->GetNumberOfElements();
491 const G4ElementVector* elementVector = material->GetElementVector();
492 const G4int* stechiometric = material->GetAtomsVector();
493 const G4double* vector_of_atoms = material->GetVecNbOfAtomsPerVolume();
494 const G4double tot_atoms = material->GetTotNbOfAtomsPerVolume();
495 for (G4int i=0;i<nElements;i++){
496 G4int Z = (G4int) (*elementVector)[i]->GetZ();
497 if (Z>ntot) Z=95;
498 G4double denomin = 1+y*(RA4[Z-1]+y*RA5[Z-1]);
499 fa=Z*(1+y*(RA1[Z-1]+x*(RA2[Z-1]+x*RA3[Z-1])))/(denomin*denomin);
500 G4bool a = ((Z>10) && (fa>2.0));
501 if (a)
502 {
503 G4double Pa,Pg,Pq,fb;
504 G4double k1=0.3125;
505 G4double k2=2.426311e-02;
506 Pa=(Z-k1)*fine_structure_const;
507 Pg=std::sqrt(1-(Pa*Pa));
508 Pq=k2*x/Pa;
509 fb=std::sin(2*Pg*std::atan(Pq))/(Pg*Pq*std::pow((1+Pq*Pq),Pg));
510 fa=std::max(fa,fb);
511 }
512 if (stechiometric && stechiometric[i]!=0)
513 {
514 gradx1=gradx1+stechiometric[i]*(fa*fa); //sum on the molecule
515 }
516 else
517 {
518 gradx1=gradx1+(vector_of_atoms[i]/tot_atoms)*(fa*fa); //weighted mean
519 }
520 }
521 return gradx1;
522}
523
524
525G4double G4PenelopeRayleigh::DifferentialCrossSection(G4double x)
526{
527 G4double x2=facte*(1-x);
528 G4double gradx = (1+x*x)*MolecularFormFactor(x2);
529 return gradx;
530}
531
532
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