THE EGS5 CODE SYSTEM

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NameDIFFEREFUNSGFUNSHPLT1LAYMIXPLOTPMDCONPWLF1RFUNSSPINITSFUNSCFUNS3CFUNS4EIIFUNSMAKEK1Table C.1: Subroutines in PEGS.DescriptionDetermines the various parameters needed for bremsstrahlung and pair productionenergy sampling.Subprogram to compute electron functions to be fit in a way that avoidsrepetition.Subprogram to compute photon functions to be fit in a way that avoidsrepetition.Creates line printer plot comparisons of EGS-sampled data (UCTESTSRUser Code) and theoretical functions of PEGS.Subprogram to produce a file of material dependent data (for subsequentuse by EGS).Computes Z-dependent parameters that reside in COMMON/MOLVAR/.Subprogram to plot a given function (referenced by number).Determines the physical, mathematical, and derived constants in a verymnemonic way.Subprogram to piecewise linearly fit up to 10 functions simultaneously onan interval (XL,XU).Subprogram to compute Rayleigh scattering functions to be fit in a way thatavoids repetition.Initializes stopping power functions for a particular medium.Subroutine to compute incoherent scattering functions to be fit.Subroutine to compute c.d.f. of shell-wise Compton profile to be fit.Subroutine to compute shell-wise Compton profile to be fit.Subroutine to compute EII/Møller ratio to be fit.Prepares tables of initial scattering strength to be fit.364
NameDCSLOADDCSSTORDCSTABELASTINOELINITESTEPLIMFINDIFITMSGAULEGGSCOEFGSDISTINIGRDINTEGLEGENPPRELASTINOSPLINEWMSFITTable C.2: Goudsmit-Saunderson-related subroutines in PEGS.DescriptionLoads molecular elastic differential cross sections tables for multi-materialPEGS runs.Stores molecular elastic differential cross sections tables for multi-materialPEGS runs.Computes tables of the molecular elastic differential cross sections for electronsand positrons.Prepares cumulative Goudsmit-Saunderson multiple scattering distributionson problem dependent energy and scattering strength grids.Reads differential elastic scattering cross section data for electrons andpositrons.Computes the maximum electron energy hinge step (in units of fractionalenergy loss) which assures a given error tolerance (currently fixed at 0.1%) inthe total energy loss and total scattering power accumulated over the step.Does table look-up.Prepares special fit to Goudsmit-Saunderson multiple scattering data for fastsampling in EGS.Provides abscissas and weights for Gauss-Legendre quadrature.Computes Goudsmit-Saunderson transport coefficients.Computes Goudsmit-Saunderson multiple scattering probability densityfunctions.Initializes energy and scattering strength grid tables.Integrates cubic spline data.Computes Legendre polynomials.Writes multiple scattering grid parameters for later consistency checks.Computes cubic splines.Writes fitted Goudsmit-Saunderson multiple scattering data parameters.365
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THE EGS5 CODE SYSTEM 1Hideo Hirayam
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4.1 UCCYL - Cylinder-Slab Geometry
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E CONTENTS OF THE EGS5 DISTRIBUTION
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2.17 Convergence of energy depositi
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List of Tables2.1 Symbols used in E
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C.2 Goudsmit-Saunderson-related sub
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With the release of the EGS4 versio
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“shower book”.For various reaso
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1.2.2 EGS1About this time Nelson be
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MSCAT.These versions of EGS, PEGS,
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ten for energies less than 100 MeV
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- Molière multiple scattering (i.e
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EGS5. The primary advantages of thi
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ICRU37-compliant using the NIST dat
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high Z materials. Del Guerra et al.
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One of these six cross sections is
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at low energies. The latter, couple
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If E 1 and E 2 are expressions invo
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The result of this algorithm is tha
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2.4 Particle Transport SimulationTh
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from appropriate distribution funct
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parameters which may be needed. The
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arrived at their values in a very m
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Math FORTRAN ProgramTable 2.1 (cont
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Figure 2.2: Feynman diagrams for br
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defined byδ ij = 1 if i = j,0 othe
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Davies, Bethe and Maximon[49] (e.g.
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cross section given in Equation 2.4
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and use this as the variable to be
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we haveNow defineδ ′ = ∆ C ∆
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This agrees with formula (10) of Bu
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That is, using Equations 2.122 and
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d˘Σ P air, Run−timedE=[23 − 1
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Angular distribution formulasThe fo
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at either x = 0, x = (πE 0 ) 2 (i.
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The following table, derived from t
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Figure 2.3: Feynman diagrams for tw
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whereX 0 = radiation length (cm),n
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whereα ′ 1 =α ′ 2 =k 0′k 0
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+ 1 E 2′ − 1 E 1′− C 2 ln E
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PEGS functions BHABDM, BHABRM, and
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To find the limits of E, we first c
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Figure 2.5: Feynman diagram for sin
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Ī adj = average adjusted mean ioni
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Table 2.2 (cont.)Z Symbol Atomic De
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Table 2.3 (cont.)LABEL a m s x 0 x
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(c) If 10.5 ≤ −C < 11.0 then x
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obtain the real scattering angle. E
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ρ = material mass density (g/cm 3
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Hence,so thatln [1.13 + 3.76(αZ i
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g 3 (θ) =θ4 ()λf (0) (θ) + f (1
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Actually, b = 0 does not correspond
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Assume that an electron starts off
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At small path lengths t, a very lar
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xFinalDirectionφΘ∆xtInitialDire
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shown that this version of the rand
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and as we noted earlier, they are d
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FinalDirectionxEnergy HingesφΘt(
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Transport Steps,∆ E = E x ESTEPEt
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tranport step 1DEINITIAL1 DERESID1t
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= ∆E( ∣ ∣∣∣ dE−1 ∣ )
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Since the CSDA range is uniquely de
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short steps accurate, but slowstep
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Table 2.4: Materials used in refere
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Average Lateral Displacement (cm)0.
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100 MeV Electrons0.010.001LiCLWAlST
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actions involving photons with ener
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Cu 40 keVCounts (/keV/sr/source)10
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Table 2.6: Data sources for general
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2.16.2 Photoelectron Angular Distri
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where r 0 is the classical electron
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second term on the right-hand side
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ZθkYOφe0Xk0Figure 2.23: Photon sc
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Note the similarities and differenc
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XZωk0Oe0YFigure 2.25: Direction of
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W = Atomic, molecular and mixture w
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In order to use EGS5 to answer the
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write(6,100)100 FORMAT(’ PEGS5-ca
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! plate is 1 mm thick!-------------
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implicit noneinclude ’include/egs
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0.989 MeV kinetic energyBrem photon
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! locally (in fact EDEP = particles
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inmax=max(binmax,ebin(j))end dowrit
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0.40 0.0058 *0.60 0.0054 *0.80 0.00
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!----------------------------------
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endifif(loop.lt.3) thenwrite(6,120)
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180 FORMAT(/’ Knock-on electrons
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common/score/escore(3), iscore(3)re
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Brem photons can be created and any
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in any combination of 31 well speci
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end doend do! nmed and dunit defaul
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! ------------------------------clo
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if (iarg.eq.17) then! A Compton sca
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! the general purpose geometry subr
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eturnend!--------------------------
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open(UNIT= 6,FILE=’egs5job.out’
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write(6,130)130 format(/’ Start t
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icol=* int(dlog10(ebin(j)*10000.0/f
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0.0300 0.0000*0.0320 0.0001*0.0340
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0.0780 0.0014 *0.0800 0.0012 *0.082
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The main purpose of this section, h
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4.1.3 Leading Particle BiasingThe s
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• Sum the weighted energy deposit
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4z6Vac115Pb65Air749 1012AirAir8Vac
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Figure 4.3: UCBEND simulation at 3.
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necessary geometry input. The follo
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Appendix AEGS5 FLOW DIAGRAMSHideo H
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subroutineannihVersion051219-1435ia
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¡eq1anormr = 1./sqrt(anorm2)sineta
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1br = max(br,0.D0)ekse2 = br*ekines
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12 3br = br*pesg = eie*bryesesg.lt.
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¤ne¤nesubroutinecollis(lelec,irl,
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¦ne¦necallausgab(iarg)6iq(np).eq.
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subroutinecomptVersion051219-1435ic
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3456icprof(medium).eq.3noyescallran
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subroutinecounters_outVersion051227
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1234567noii.ne.jjyesnoledgb(ii,medi
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©ne1 2 3neispl = (2*neispl + 1)/3f
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subroutineelectr(ircode)ielectr = i
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7 8 9 10 11 12 13detot = e(np)-ecut
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2324 25 26 27 282930ustep.gt.dnear(
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4142 43 44 45 4647 48 49ecut(irnew)
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5859 60 61 6263 64tmscat.eq.0.0noye
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73 7475 76noedep.lt.e(np)yescallran
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subroutinehardx(charge,kEnergy,keIn
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1 2 3 4 5iz = izziz.eq.0noxsi = zer
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13 14 15 16 17sint.ne.0.yesrdev = m
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19im=1im=im+1im >nmednoyesnoiprofm(
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2223write(kmpo,1610)read(kmpi,1260)
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26 27 28iprofm(im).ne.1noyeswrite(6
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30 31 32 33 34esig0(i,im) = esig0(i
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36 37 38noiedgfl(ii).ne.0.or.iauger
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nokaug.eq.6calllshell(3)kaug.eq.7ka
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subroutinekxrayVersion051219-1435ik
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123dfl3aug(5,iz).eq.0.nonauger = na
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12 3 4rnnow.le.omegal2(iz) + f23(iz
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1 2dflx3(6,iz).eq.0.nonxray=nxray+1
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1impacr(ir(np)).eq.1.and.iedgfl(ir(
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12fject = (ktot - k1grd(iprt,ik1))
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56789thr = 1./eta"Central correctio
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1 2 3delta = delcm(medium)*del"Reje
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89101112galpha.ge.0.0yesnoximid = 0
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subroutinephotoVersion051219-1435"C
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4 5 6 7 8rnnow.le.pbran(i)noyesiz =
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121314beta = sqrt((eelec - RM)*(eel
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subroutinephotonVersion051219-1435i
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678910idisc.gt.0yesnoedep = 0.iarg
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1718192021iausfl(iarg+1)ne0nocallpa
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2728iausfl(iarg+1)ne0noircode = 2np
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subroutinerk1Version060313-0945open
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4 5 6j=1j=j+1j>neke-1noyesj.eq.1noj
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18 19 20 21 22 23elkeold = elkek1ol
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1 2"end of file; go to 13"read(17,*
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4 5"go to 30"noabs(k1mine-k1grd(1,1
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7 8read(17,'(72a1)') bufferread(17,
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subroutine shower(iqi,ei,xi,yi,zi,u
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subroutineuphi(ientry,lvl)Version05
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subroutinerandomset(rndum)Version05
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subroutinerluxinitVersion051219-143
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1i=1i=i+1i>24noyesseeds(i) = real(i
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subroutinerluxinVersion051219-1435w
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Appendix BEGS5 USER MANUALHideo Hir
Page 329 and 330: Table B.1: Variable descriptions fo
Page 337 and 338: Table B.12: Variable descriptions f
Page 339 and 340: Optional parameter modificationsThe
Page 341 and 342: the call to PEGS5 may be skipped if
Page 343 and 344: egions. Execution of EGS5 is termin
Page 345 and 346: of the transport in the walls of el
Page 347 and 348: call rluxinitafter specifying LUXLE
Page 349 and 350: END OF FILE ON UNIT 12PROGRAM STOPP
Page 351 and 352: do i=1,ncasesuf(1)=ufivf(1)=vfiwf(1
Page 353 and 354: crossed, then USTEP should be set t
Page 355 and 356: subroutine howfarimplicit noneinclu
Page 357 and 358: Table B.18: IARG values program sta
Page 359 and 360: As an example of how to write an AU
Page 361 and 362: !**********************************
Page 363 and 364: nreg=3do i=2,nregecut(i)=100.0pcut(
Page 365 and 366: nlines=0nwrite=15!-----------------
Page 367 and 368: if (nlines.lt.nwrite) thenwrite(6,1
Page 369 and 370: Appendix CPEGS USER MANUALHideo Hir
Page 371 and 372: is entered. On each pass through th
Page 373 and 374: (from previous figure)(to previous
Page 375 and 376: (from previous figure)||+ ---------
Page 377 and 378: +------+|BREMTR|+------+|V+------+|
Page 379: +------+|PAIRTR|+------+|V+------+|
Page 383 and 384: NameAFFACTAINTPALKEALKEIALINALINIAD
Page 385 and 386: Table C.5: Functions in PEGS, part
Page 387 and 388: +------+ +------+ +------+ +------+
Page 389 and 390: Table C.8: ELEM option input data l
Page 391 and 392: Table C.10: MIXT option input data
Page 393 and 394: Table C.12: PWLF option input data
Page 395 and 396: Table C.17: PLTN option input data
Page 397 and 398: ICPROF is set to 3, the user must c
Page 399 and 400: ColumnLine 123456789112345678921234
Page 401 and 402: interiors of the intervals. If FEXA
Page 403 and 404: C.3.6The TEST OptionThe TEST option
Page 405 and 406: C.3.9The HPLT OptionThe Histogram P
Page 407 and 408: Appendix DEGS5 INSTALLATION GUIDEHi
Page 409 and 410: egs5 directory (preferably using th
Page 411 and 412: 6. The user is then asked to key-in
Page 413 and 414: * User code tutor1.f has been compi
Page 415 and 416: Appendix ECONTENTS OF THE EGS5DISTR
Page 417 and 418: All of the actual FORTRAN source co
Page 419 and 420: aprime.data Data for empirical brem
Page 421 and 422: ismuth krypton silverboron lanthanu
Page 423 and 424: The tutorial problems and advanced
Page 425 and 426: Bibliography[1] R. G. Alsmiller Jr.
Page 427 and 428: [28] A. F. Bielajew. HOWFAR and HOW
Page 429 and 430: [59] K. Flöttmann. Investigations
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[92] H. Kolbenstvedt. Simple theory
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[123] Y. Namito, H. Hirayama, A. Ta
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[156] Y. A. Shreider, editor. The M
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Index“shower book”, 37AE, 28, 3
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Klein-Nishina formula, 62Landau dis
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