Geant4 10.7.0
Toolkit for the simulation of the passage of particles through matter
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G4PixeCrossSectionHandler.cc
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1//
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6// * the Geant4 Collaboration. It is provided under the terms and *
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18// * This code implementation is the result of the scientific and *
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24// ********************************************************************
25//
26//
27//
28// Author: Maria Grazia Pia ([email protected])
29//
30// History:
31// -----------
32// 16 Jun 2008 MGP Created; Cross section manager for hadron impact ionization
33// Documented in:
34// M.G. Pia et al., PIXE Simulation With Geant4,
35// IEEE Trans. Nucl. Sci., vol. 56, no. 6, pp. 3614-3649, Dec. 2009
36//
37// -------------------------------------------------------------------
38
41#include "G4IInterpolator.hh"
43#include "G4IDataSet.hh"
44#include "G4DataSet.hh"
45#include "G4CompositeDataSet.hh"
46#include "G4PixeShellDataSet.hh"
48#include "G4Material.hh"
49#include "G4Element.hh"
50#include "Randomize.hh"
51#include "G4SystemOfUnits.hh"
53
54#include <map>
55#include <vector>
56#include <fstream>
57#include <sstream>
58
59
61{
62 crossSections = 0;
63 interpolation = 0;
64 // Initialise with default values
65 Initialise(0,"","","",1.*keV,0.1*GeV,200,MeV,barn,6,92);
66 ActiveElements();
67}
68
69
71 const G4String& modelK,
72 const G4String& modelL,
73 const G4String& modelM,
74 G4double minE,
75 G4double maxE,
76 G4int bins,
77 G4double unitE,
78 G4double unitData,
79 G4int minZ,
80 G4int maxZ)
81 : interpolation(algorithm), eMin(minE), eMax(maxE), nBins(bins),
82 unit1(unitE), unit2(unitData), zMin(minZ), zMax(maxZ)
83{
84 crossSections = 0;
85
86 crossModel.push_back(modelK);
87 crossModel.push_back(modelL);
88 crossModel.push_back(modelM);
89
90 //std::cout << "PixeCrossSectionHandler constructor - crossModel[0] = "
91 // << crossModel[0]
92 // << std::endl;
93
94 ActiveElements();
95}
96
98{
99 delete interpolation;
100 interpolation = 0;
101 std::map<G4int,G4IDataSet*,std::less<G4int> >::iterator pos;
102
103 for (pos = dataMap.begin(); pos != dataMap.end(); ++pos)
104 {
105 // The following is a workaround for STL ObjectSpace implementation,
106 // which does not support the standard and does not accept
107 // the syntax pos->second
108 // G4IDataSet* dataSet = pos->second;
109 G4IDataSet* dataSet = (*pos).second;
110 delete dataSet;
111 }
112
113 if (crossSections != 0)
114 {
115 size_t n = crossSections->size();
116 for (size_t i=0; i<n; i++)
117 {
118 delete (*crossSections)[i];
119 }
120 delete crossSections;
121 crossSections = 0;
122 }
123}
124
126 const G4String& modelK,
127 const G4String& modelL,
128 const G4String& modelM,
129 G4double minE, G4double maxE,
130 G4int numberOfBins,
131 G4double unitE, G4double unitData,
132 G4int minZ, G4int maxZ)
133{
134 if (algorithm != 0)
135 {
136 delete interpolation;
137 interpolation = algorithm;
138 }
139 else
140 {
141 interpolation = CreateInterpolation();
142 }
143
144 eMin = minE;
145 eMax = maxE;
146 nBins = numberOfBins;
147 unit1 = unitE;
148 unit2 = unitData;
149 zMin = minZ;
150 zMax = maxZ;
151
152 crossModel.push_back(modelK);
153 crossModel.push_back(modelL);
154 crossModel.push_back(modelM);
155
156}
157
159{
160 std::map<G4int,G4IDataSet*,std::less<G4int> >::const_iterator pos;
161
162 for (pos = dataMap.begin(); pos != dataMap.end(); pos++)
163 {
164 // The following is a workaround for STL ObjectSpace implementation,
165 // which does not support the standard and does not accept
166 // the syntax pos->first or pos->second
167 // G4int z = pos->first;
168 // G4IDataSet* dataSet = pos->second;
169 G4int z = (*pos).first;
170 G4IDataSet* dataSet = (*pos).second;
171 G4cout << "---- Data set for Z = "
172 << z
173 << G4endl;
174 dataSet->PrintData();
175 G4cout << "--------------------------------------------------" << G4endl;
176 }
177}
178
180{
181 size_t nZ = activeZ.size();
182 for (size_t i=0; i<nZ; i++)
183 {
184 G4int Z = (G4int) activeZ[i];
185 G4IInterpolator* algo = interpolation->Clone();
186 G4IDataSet* dataSet = new G4PixeShellDataSet(Z, algo,crossModel[0],crossModel[1],crossModel[2]);
187
188 // Degug printing
189 //std::cout << "PixeCrossSectionHandler::Load - "
190 // << Z
191 // << ", modelK = "
192 // << crossModel[0]
193 // << " fileName = "
194 // << fileName
195 // << std::endl;
196
197 dataSet->LoadData(fileName);
198 dataMap[Z] = dataSet;
199 }
200
201 // Build cross sections for materials if not already built
202 if (! crossSections)
203 {
204 BuildForMaterials();
205 }
206
207}
208
210{
211 // Reset the map of data sets: remove the data sets from the map
212 std::map<G4int,G4IDataSet*,std::less<G4int> >::iterator pos;
213
214 if(! dataMap.empty())
215 {
216 for (pos = dataMap.begin(); pos != dataMap.end(); ++pos)
217 {
218 // The following is a workaround for STL ObjectSpace implementation,
219 // which does not support the standard and does not accept
220 // the syntax pos->first or pos->second
221 // G4IDataSet* dataSet = pos->second;
222 G4IDataSet* dataSet = (*pos).second;
223 delete dataSet;
224 dataSet = 0;
225 G4int i = (*pos).first;
226 dataMap[i] = 0;
227 }
228 dataMap.clear();
229 }
230
231 activeZ.clear();
232 ActiveElements();
233}
234
236{
237 G4double value = 0.;
238
239 std::map<G4int,G4IDataSet*,std::less<G4int> >::const_iterator pos;
240 pos = dataMap.find(Z);
241 if (pos!= dataMap.end())
242 {
243 // The following is a workaround for STL ObjectSpace implementation,
244 // which does not support the standard and does not accept
245 // the syntax pos->first or pos->second
246 // G4IDataSet* dataSet = pos->second;
247 G4IDataSet* dataSet = (*pos).second;
248 value = dataSet->FindValue(energy);
249 }
250 else
251 {
252 G4cout << "WARNING: G4PixeCrossSectionHandler::FindValue(Z,e) did not find Z = "
253 << Z << G4endl;
254 }
255 return value;
256}
257
259 G4int shellIndex) const
260{
261 G4double value = 0.;
262
263 std::map<G4int,G4IDataSet*,std::less<G4int> >::const_iterator pos;
264 pos = dataMap.find(Z);
265 if (pos!= dataMap.end())
266 {
267 // The following is a workaround for STL ObjectSpace implementation,
268 // which does not support the standard and does not accept
269 // the syntax pos->first or pos->second
270 // G4IDataSet* dataSet = pos->second;
271 G4IDataSet* dataSet = (*pos).second;
272 if (shellIndex >= 0)
273 {
274 G4int nComponents = dataSet->NumberOfComponents();
275 if(shellIndex < nComponents)
276 // The value is the cross section for shell component at given energy
277 value = dataSet->GetComponent(shellIndex)->FindValue(energy);
278 else
279 {
280 G4cout << "WARNING: G4PixeCrossSectionHandler::FindValue(Z,e,shell) did not find"
281 << " shellIndex= " << shellIndex
282 << " for Z= "
283 << Z << G4endl;
284 }
285 } else {
286 value = dataSet->FindValue(energy);
287 }
288 }
289 else
290 {
291 G4cout << "WARNING: G4PixeCrossSectionHandler::FindValue did not find Z = "
292 << Z << G4endl;
293 }
294 return value;
295}
296
297
299 G4double energy) const
300{
301 G4double value = 0.;
302
303 const G4ElementVector* elementVector = material->GetElementVector();
304 const G4double* nAtomsPerVolume = material->GetVecNbOfAtomsPerVolume();
305 G4int nElements = material->GetNumberOfElements();
306
307 for (G4int i=0 ; i<nElements ; i++)
308 {
309 G4int Z = (G4int) (*elementVector)[i]->GetZ();
310 G4double elementValue = FindValue(Z,energy);
311 G4double nAtomsVol = nAtomsPerVolume[i];
312 value += nAtomsVol * elementValue;
313 }
314
315 return value;
316}
317
318/*
319 G4IDataSet* G4PixeCrossSectionHandler::BuildMeanFreePathForMaterials(const G4DataVector* energyCuts )
320 {
321 // Builds a CompositeDataSet containing the mean free path for each material
322 // in the material table
323
324 G4DataVector energyVector;
325 G4double dBin = std::log10(eMax/eMin) / nBins;
326
327 for (G4int i=0; i<nBins+1; i++)
328 {
329 energyVector.push_back(std::pow(10., std::log10(eMin)+i*dBin));
330 }
331
332 // Factory method to build cross sections in derived classes,
333 // related to the type of physics process
334
335 if (crossSections != 0)
336 { // Reset the list of cross sections
337 std::vector<G4IDataSet*>::iterator mat;
338 if (! crossSections->empty())
339 {
340 for (mat = crossSections->begin(); mat!= crossSections->end(); ++mat)
341 {
342 G4IDataSet* set = *mat;
343 delete set;
344 set = 0;
345 }
346 crossSections->clear();
347 delete crossSections;
348 crossSections = 0;
349 }
350 }
351
352 crossSections = BuildCrossSectionsForMaterials(energyVector);
353
354 if (crossSections == 0)
355 G4Exception("G4PixeCrossSectionHandler::BuildMeanFreePathForMaterials",
356 "pii00000201",
357 FatalException,
358 "crossSections = 0");
359
360 G4IInterpolator* algo = CreateInterpolation();
361 G4IDataSet* materialSet = new G4CompositeDataSet(algo);
362
363 G4DataVector* energies;
364 G4DataVector* data;
365
366 const G4ProductionCutsTable* theCoupleTable=
367 G4ProductionCutsTable::GetProductionCutsTable();
368 size_t numOfCouples = theCoupleTable->GetTableSize();
369
370
371 for (size_t m=0; m<numOfCouples; m++)
372 {
373 energies = new G4DataVector;
374 data = new G4DataVector;
375 for (G4int bin=0; bin<nBins; bin++)
376 {
377 G4double energy = energyVector[bin];
378 energies->push_back(energy);
379 G4IDataSet* matCrossSet = (*crossSections)[m];
380 G4double materialCrossSection = 0.0;
381 G4int nElm = matCrossSet->NumberOfComponents();
382 for(G4int j=0; j<nElm; j++) {
383 materialCrossSection += matCrossSet->GetComponent(j)->FindValue(energy);
384 }
385
386 if (materialCrossSection > 0.)
387 {
388 data->push_back(1./materialCrossSection);
389 }
390 else
391 {
392 data->push_back(DBL_MAX);
393 }
394 }
395 G4IInterpolator* algo = CreateInterpolation();
396 G4IDataSet* dataSet = new G4DataSet(m,energies,data,algo,1.,1.);
397 materialSet->AddComponent(dataSet);
398 }
399
400 return materialSet;
401 }
402
403*/
404
405void G4PixeCrossSectionHandler::BuildForMaterials()
406{
407 // Builds a CompositeDataSet containing the mean free path for each material
408 // in the material table
409
410 G4DataVector energyVector;
411 G4double dBin = std::log10(eMax/eMin) / nBins;
412
413 for (G4int i=0; i<nBins+1; i++)
414 {
415 energyVector.push_back(std::pow(10., std::log10(eMin)+i*dBin));
416 }
417
418 if (crossSections != 0)
419 { // Reset the list of cross sections
420 std::vector<G4IDataSet*>::iterator mat;
421 if (! crossSections->empty())
422 {
423 for (mat = crossSections->begin(); mat!= crossSections->end(); ++mat)
424 {
425 G4IDataSet* set = *mat;
426 delete set;
427 set = 0;
428 }
429 crossSections->clear();
430 delete crossSections;
431 crossSections = 0;
432 }
433 }
434
435 crossSections = BuildCrossSectionsForMaterials(energyVector);
436
437 if (crossSections == 0)
438 G4Exception("G4PixeCrossSectionHandler::BuildForMaterials",
439 "pii00000210",
441 ", crossSections = 0");
442
443 return;
444}
445
446
448 G4double e) const
449{
450 // Select randomly an element within the material, according to the weight
451 // determined by the cross sections in the data set
452
453 G4int nElements = material->GetNumberOfElements();
454
455 // Special case: the material consists of one element
456 if (nElements == 1)
457 {
458 G4int Z = (G4int) material->GetZ();
459 return Z;
460 }
461
462 // Composite material
463
464 const G4ElementVector* elementVector = material->GetElementVector();
465 size_t materialIndex = material->GetIndex();
466
467 G4IDataSet* materialSet = (*crossSections)[materialIndex];
468 G4double materialCrossSection0 = 0.0;
469 G4DataVector cross;
470 cross.clear();
471 for ( G4int i=0; i < nElements; i++ )
472 {
473 G4double cr = materialSet->GetComponent(i)->FindValue(e);
474 materialCrossSection0 += cr;
475 cross.push_back(materialCrossSection0);
476 }
477
478 G4double random = G4UniformRand() * materialCrossSection0;
479
480 for (G4int k=0 ; k < nElements ; k++ )
481 {
482 if (random <= cross[k]) return (G4int) (*elementVector)[k]->GetZ();
483 }
484 // It should never get here
485 return 0;
486}
487
488/*
489 const G4Element* G4PixeCrossSectionHandler::SelectRandomElement(const G4MaterialCutsCouple* couple,
490 G4double e) const
491 {
492 // Select randomly an element within the material, according to the weight determined
493 // by the cross sections in the data set
494
495 const G4Material* material = couple->GetMaterial();
496 G4Element* nullElement = 0;
497 G4int nElements = material->GetNumberOfElements();
498 const G4ElementVector* elementVector = material->GetElementVector();
499
500 // Special case: the material consists of one element
501 if (nElements == 1)
502 {
503 G4Element* element = (*elementVector)[0];
504 return element;
505 }
506 else
507 {
508 // Composite material
509
510 size_t materialIndex = couple->GetIndex();
511
512 G4IDataSet* materialSet = (*crossSections)[materialIndex];
513 G4double materialCrossSection0 = 0.0;
514 G4DataVector cross;
515 cross.clear();
516 for (G4int i=0; i<nElements; i++)
517 {
518 G4double cr = materialSet->GetComponent(i)->FindValue(e);
519 materialCrossSection0 += cr;
520 cross.push_back(materialCrossSection0);
521 }
522
523 G4double random = G4UniformRand() * materialCrossSection0;
524
525 for (G4int k=0 ; k < nElements ; k++ )
526 {
527 if (random <= cross[k]) return (*elementVector)[k];
528 }
529 // It should never end up here
530 G4cout << "G4PixeCrossSectionHandler::SelectRandomElement - no element found" << G4endl;
531 return nullElement;
532 }
533 }
534*/
535
536
538{
539 // Select randomly a shell, according to the weight determined by the cross sections
540 // in the data set
541
542 // Note for later improvement: it would be useful to add a cache mechanism for already
543 // used shells to improve performance
544
545 G4int shell = 0;
546
547 G4double totCrossSection = FindValue(Z,e);
548 G4double random = G4UniformRand() * totCrossSection;
549 G4double partialSum = 0.;
550
551 G4IDataSet* dataSet = 0;
552 std::map<G4int,G4IDataSet*,std::less<G4int> >::const_iterator pos;
553 pos = dataMap.find(Z);
554 // The following is a workaround for STL ObjectSpace implementation,
555 // which does not support the standard and does not accept
556 // the syntax pos->first or pos->second
557 // if (pos != dataMap.end()) dataSet = pos->second;
558 if (pos != dataMap.end()) dataSet = (*pos).second;
559
560 size_t nShells = dataSet->NumberOfComponents();
561 for (size_t i=0; i<nShells; i++)
562 {
563 const G4IDataSet* shellDataSet = dataSet->GetComponent(i);
564 if (shellDataSet != 0)
565 {
566 G4double value = shellDataSet->FindValue(e);
567 partialSum += value;
568 if (random <= partialSum) return i;
569 }
570 }
571 // It should never get here
572 return shell;
573}
574
575void G4PixeCrossSectionHandler::ActiveElements()
576{
577 const G4MaterialTable* materialTable = G4Material::GetMaterialTable();
578 if (materialTable == 0)
579 G4Exception("G4PixeCrossSectionHandler::ActiveElements",
580 "pii00000220",
582 "no MaterialTable found");
583
585
586 for (G4int mat=0; mat<nMaterials; mat++)
587 {
588 const G4Material* material= (*materialTable)[mat];
589 const G4ElementVector* elementVector = material->GetElementVector();
590 const G4int nElements = material->GetNumberOfElements();
591
592 for (G4int iEl=0; iEl<nElements; iEl++)
593 {
594 G4Element* element = (*elementVector)[iEl];
595 G4double Z = element->GetZ();
596 if (!(activeZ.contains(Z)) && Z >= zMin && Z <= zMax)
597 {
598 activeZ.push_back(Z);
599 }
600 }
601 }
602}
603
604G4IInterpolator* G4PixeCrossSectionHandler::CreateInterpolation()
605{
606 G4IInterpolator* algorithm = new G4LogLogInterpolator;
607 return algorithm;
608}
609
610G4int G4PixeCrossSectionHandler::NumberOfComponents(G4int Z) const
611{
612 G4int n = 0;
613
614 std::map<G4int,G4IDataSet*,std::less<G4int> >::const_iterator pos;
615 pos = dataMap.find(Z);
616 if (pos!= dataMap.end())
617 {
618 G4IDataSet* dataSet = (*pos).second;
619 n = dataSet->NumberOfComponents();
620 }
621 else
622 {
623 G4cout << "WARNING: G4PixeCrossSectionHandler::NumberOfComponents did not "
624 << "find Z = "
625 << Z << G4endl;
626 }
627 return n;
628}
629
630
631std::vector<G4IDataSet*>*
632G4PixeCrossSectionHandler::BuildCrossSectionsForMaterials(const G4DataVector& energyVector)
633{
634 G4DataVector* energies;
635 G4DataVector* data;
636
637 std::vector<G4IDataSet*>* matCrossSections = new std::vector<G4IDataSet*>;
638
639 //const G4ProductionCutsTable* theCoupleTable=G4ProductionCutsTable::GetProductionCutsTable();
640 //size_t numOfCouples = theCoupleTable->GetTableSize();
641
642 size_t nOfBins = energyVector.size();
643 const G4IInterpolator* interpolationAlgo = CreateInterpolation();
644
645 const G4MaterialTable* materialTable = G4Material::GetMaterialTable();
646 if (materialTable == 0)
647 G4Exception("G4PixeCrossSectionHandler::BuildCrossSectionsForMaterials",
648 "pii00000230",
650 "no MaterialTable found");
651
653
654 for (G4int mat=0; mat<nMaterials; mat++)
655 {
656 const G4Material* material = (*materialTable)[mat];
657 G4int nElements = material->GetNumberOfElements();
658 const G4ElementVector* elementVector = material->GetElementVector();
659 const G4double* nAtomsPerVolume = material->GetAtomicNumDensityVector();
660
661 G4IInterpolator* algo = interpolationAlgo->Clone();
662
663 G4IDataSet* setForMat = new G4CompositeDataSet(algo,1.,1.);
664
665 for (G4int i=0; i<nElements; i++) {
666
667 G4int Z = (G4int) (*elementVector)[i]->GetZ();
668 G4double density = nAtomsPerVolume[i];
669
670 energies = new G4DataVector;
671 data = new G4DataVector;
672
673
674 for (size_t bin=0; bin<nOfBins; bin++)
675 {
676 G4double e = energyVector[bin];
677 energies->push_back(e);
678 G4double cross = 0.;
679 if (Z >= zMin && Z <= zMax) cross = density*FindValue(Z,e);
680 data->push_back(cross);
681 }
682
683 G4IInterpolator* algo1 = interpolationAlgo->Clone();
684 G4IDataSet* elSet = new G4DataSet(i,energies,data,algo1,1.,1.);
685 setForMat->AddComponent(elSet);
686 }
687
688 matCrossSections->push_back(setForMat);
689 }
690 return matCrossSections;
691}
692
693
695 G4double kineticEnergy,
696 G4double Z,
697 G4double deltaCut) const
698{
699 // Cross section formula is OK for spin=0, 1/2, 1 only !
700 // Calculates the microscopic cross section in Geant4 internal units
701 // Formula documented in Geant4 Phys. Ref. Manual
702 // ( it is called for elements, AtomicNumber = z )
703
704 G4double cross = 0.;
705
706 // Particle mass and energy
707 G4double particleMass = particleDef->GetPDGMass();
708 G4double energy = kineticEnergy + particleMass;
709
710 // Some kinematics
711 G4double gamma = energy / particleMass;
712 G4double beta2 = 1. - 1. / (gamma * gamma);
713 G4double var = electron_mass_c2 / particleMass;
714 G4double tMax = 2. * electron_mass_c2 * (gamma*gamma - 1.) / (1. + 2.*gamma*var + var*var);
715
716 // Calculate the total cross section
717
718 if ( tMax > deltaCut )
719 {
720 var = deltaCut / tMax;
721 cross = (1. - var * (1. - beta2 * std::log(var))) / deltaCut;
722
723 G4double spin = particleDef->GetPDGSpin() ;
724
725 // +term for spin=1/2 particle
726 if (spin == 0.5)
727 {
728 cross += 0.5 * (tMax - deltaCut) / (energy*energy);
729 }
730 // +term for spin=1 particle
731 else if (spin > 0.9 )
732 {
733 cross += -std::log(var) / (3.*deltaCut) + (tMax-deltaCut) *
734 ((5.+1./var)*0.25 /(energy*energy) - beta2 / (tMax*deltaCut))/3.;
735 }
736 cross *= twopi_mc2_rcl2 * Z / beta2 ;
737 }
738
739 //std::cout << "Microscopic = " << cross/barn
740 // << ", e = " << kineticEnergy/MeV <<std:: endl;
741
742 return cross;
743}
744
std::vector< G4Element * > G4ElementVector
@ FatalException
void G4Exception(const char *originOfException, const char *exceptionCode, G4ExceptionSeverity severity, const char *description)
Definition: G4Exception.cc:35
std::vector< G4Material * > G4MaterialTable
double G4double
Definition: G4Types.hh:83
int G4int
Definition: G4Types.hh:85
#define G4endl
Definition: G4ios.hh:57
G4GLOB_DLL std::ostream G4cout
#define G4UniformRand()
Definition: Randomize.hh:52
G4bool contains(const G4double &) const
G4double GetZ() const
Definition: G4Element.hh:130
virtual const G4IDataSet * GetComponent(G4int componentId) const =0
virtual G4bool LoadData(const G4String &fileName)=0
virtual size_t NumberOfComponents(void) const =0
virtual G4double FindValue(G4double x, G4int componentId=0) const =0
virtual void AddComponent(G4IDataSet *dataSet)=0
virtual void PrintData(void) const =0
virtual G4IInterpolator * Clone() const =0
const G4ElementVector * GetElementVector() const
Definition: G4Material.hh:188
static size_t GetNumberOfMaterials()
Definition: G4Material.cc:644
G4double GetZ() const
Definition: G4Material.cc:701
size_t GetNumberOfElements() const
Definition: G4Material.hh:184
const G4double * GetAtomicNumDensityVector() const
Definition: G4Material.hh:214
const G4double * GetVecNbOfAtomsPerVolume() const
Definition: G4Material.hh:204
static G4MaterialTable * GetMaterialTable()
Definition: G4Material.cc:637
size_t GetIndex() const
Definition: G4Material.hh:258
void Initialise(G4IInterpolator *interpolation, const G4String &modelK="ecpssr", const G4String &modelL="ecpssr", const G4String &modelM="ecpssr", G4double minE=1 *CLHEP::keV, G4double maxE=0.1 *CLHEP::GeV, G4int nBins=200, G4double unitE=CLHEP::MeV, G4double unitData=CLHEP::barn, G4int minZ=6, G4int maxZ=92)
G4double MicroscopicCrossSection(const G4ParticleDefinition *particleDef, G4double kineticEnergy, G4double Z, G4double deltaCut) const
G4double FindValue(G4int Z, G4double e) const
G4int SelectRandomShell(G4int Z, G4double e) const
void LoadShellData(const G4String &dataFile)
G4double ValueForMaterial(const G4Material *material, G4double e) const
G4int SelectRandomAtom(const G4Material *material, G4double e) const