THE EGS5 CODE SYSTEM

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1 0.1 0.01 Electrons on Ti 20MeV 10MeV 7MeV 5MeV 3MeV 2MeV 1MeV 700keV 500keV 300keV K1 0.001 0.0001 1e-05 1e-05 0.0001 0.001 0.01 0.1 1 10 Characteristic Dimension (cm) Figure 2.19: Optimal initial scattering strength K 1 vs. broomstick diameter (equivalent to the characteristic dimension) in titanium at various energies. The sample problem tutor4 described in the next chapter investigates and illustrates the effectiveness of the automated step-size selection method based on characteristic dimension. 2.15.10 Treatment of Initial Steps of Primary Electrons It must be noted that not all classes of problems are guaranteed to be modeled accurately whenever the average tracklength or average lateral deflection is modeled correctly in given region volumes. In particular, problems using tallies which have a spatial or directional dependence on secondary particle production occurring prior to the first multiple scattering hinge point (such as deep penetration shower simulations) can exhibit step-size artifacts not present in EGS4, since high energy bremsstrahlung directions can be correlated with electron directions. In such cases, while EGS4 always imposes multiple scattering prior to secondary particle production, the random hinge methodology of EGS5 does not always assure at least some deflection prior to secondary particle generating, sometimes leading to over-estimation of particles in the forward direction. To counter this problem and still permit EGS5 to take very very long steps as often as possible, for all problems in which secondary particles are being produced and the primary source particles are electrons, a mechanism has been introduced in EGS5 to force very small initial multiple scattering hinge steps. If and only if an electron is determined by EGS subroutine SHOWER to be a primary 118
100 MeV Electrons 0.01 0.001 Li C LW Al S Ti Ge Zr Ag La Hf Au K1 0.0001 1e-05 0.1 1 10 Characteristic Dimension (gm/cm^2) 100 MeV Electrons 0.0001 1e-05 Li C LW Al S Ti Ge Zr Ag La Hf Au K1 1e-06 1e-07 0.001 0.01 0.1 Characteristic Dimension (gm/cm^2) Figure 2.20: Optimal initial scattering strength K 1 vs. broomstick diameter for various elements at 100 MeV. The upper figure is for values of ρt greater than 0.1, and the lower figure for smaller characteristic dimensions. 119
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THE EGS5 CODE SYSTEM 1 Hideo Hiraya
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Contents 1 INTRODUCTION 1 1.1 Inten
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2.15.6 Electron Step-Size Selection
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B.4.9 Output of Results (Step 9) .
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List of Figures 2.1 Program flow an
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C.4 Subprogram relationships in PEG
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B.5 Variable descriptions for COMMO
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PREFACE In the nineteen years since
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Chapter 1 INTRODUCTION 1.1 Intent o
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“shower book”. For various reas
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1.2.2 EGS1 About this time Nelson b
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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 Simulation T
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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 Program Table 2.1 (con
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Figure 2.2: Feynman diagrams for br
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defined by δ ij = 1 if i = j, 0 ot
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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 have Now define δ ′ = ∆ 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−time dE = [ 2 3
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Angular distribution formulas The f
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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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where X 0 = radiation length (cm),
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where α ′ 1 = α ′ 2 = k 0 ′
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Page 85 and 86: PEGS functions BHABDM, BHABRM, and
Page 87 and 88: To find the limits of E, we first c
Page 89 and 90: Figure 2.5: Feynman diagram for sin
Page 91 and 92: Ī adj = average adjusted mean ioni
Page 93 and 94: Table 2.2 (cont.) Z Symbol Atomic D
Page 95 and 96: Table 2.3 (cont.) LABEL a m s x 0 x
Page 97 and 98: (c) If 10.5 ≤ −C < 11.0 then x
Page 99 and 100: obtain the real scattering angle. E
Page 101 and 102: ρ = material mass density (g/cm 3
Page 103 and 104: Hence, so that ln [1.13 + 3.76(αZ
Page 105 and 106: g 3 (θ) = θ4 ( ) λf (0) (θ) + f
Page 107 and 108: Actually, b = 0 does not correspond
Page 109 and 110: Assume that an electron starts off
Page 111 and 112: At small path lengths t, a very lar
Page 113 and 114: x Final Direction φ Θ ∆x t Init
Page 115 and 116: shown that this version of the rand
Page 117 and 118: and as we noted earlier, they are d
Page 119 and 120: Final Direction x Energy Hinges φ
Page 121 and 122: Transport Steps, ∆ E = E x ESTEPE
Page 123 and 124: tranport step 1 DEINITIAL1 DERESID1
Page 125 and 126: = ∆E ( ∣ ∣∣∣ dE −1 ∣
Page 127 and 128: Since the CSDA range is uniquely de
Page 129 and 130: short steps accurate, but slow step
Page 131 and 132: Table 2.4: Materials used in refere
Page 133: Average Lateral Displacement (cm) 0
Page 137 and 138: actions involving photons with ener
Page 139 and 140: Cu 40 keV Counts (/keV/sr/source) 1
Page 141 and 142: Table 2.6: Data sources for general
Page 143 and 144: 2.16.2 Photoelectron Angular Distri
Page 145 and 146: where r 0 is the classical electron
Page 147 and 148: second term on the right-hand side
Page 149 and 150: Z θ k Y O φ e 0 X k 0 Figure 2.23
Page 151 and 152: Note the similarities and differenc
Page 153 and 154: X Z ω k 0 O e 0 Y Figure 2.25: Dir
Page 155 and 156: W = Atomic, molecular and mixture w
Page 157 and 158: In order to use EGS5 to answer the
Page 159 and 160: write(6,100) 100 FORMAT(’ PEGS5-c
Page 161 and 162: ! plate is 1 mm thick !------------
Page 163 and 164: implicit none include ’include/eg
Page 165 and 166: 0.989 MeV kinetic energy Brem photo
Page 167 and 168: ! locally (in fact EDEP = particles
Page 169 and 170: inmax=max(binmax,ebin(j)) end do wr
Page 171 and 172: 0.40 0.0058 * 0.60 0.0054 * 0.80 0.
Page 173 and 174: !----------------------------------
Page 175 and 176: endif if(loop.lt.3) then write(6,12
Page 177 and 178: 180 FORMAT(/’ Knock-on electrons
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Page 181 and 182: Brem photons can be created and any
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end do end do ! nmed and dunit defa
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! ------------------------------ cl
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if (iarg.eq.17) then ! A Compton sc
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! the general purpose geometry subr
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eturn end !------------------------
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open(UNIT= 6,FILE=’egs5job.out’
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write(6,130) 130 format(/’ Start
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icol= * int(dlog10(ebin(j)*10000.0/
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0.0300 0.0000* 0.0320 0.0001* 0.034
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0.0780 0.0014 * 0.0800 0.0012 * 0.0
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The main purpose of this section, h
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4.1.3 Leading Particle Biasing The
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• Sum the weighted energy deposit
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4 z 6 Vac 11 5 Pb 6 5 Air 7 4 9 10
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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 A EGS5 FLOW DIAGRAMS Hideo
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subroutine annih Version 051219-143
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¡ eq 1 anormr = 1./sqrt(anorm2) si
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1 br = max(br,0.D0) ekse2 = br*ekin
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1 2 3 br = br*p esg = eie*br yes es
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¤ ne ¤ ne subroutine collis (lele
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¦ ne ¦ ne call ausgab(iarg) 6 iq(
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subroutine compt Version 051219-143
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3 4 5 6 icprof(medium) .eq. 3 no ye
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subroutine counters_out Version 051
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1 2 3 4 5 6 7 no ii .ne. jj yes no
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© ne 1 2 3 neispl = (2*neispl + 1)
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subroutine electr(ircode) ielectr =
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7 8 9 10 11 12 13 detot = e(np)-ecu
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2324 25 26 27 28 29 30 ustep .gt. d
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4142 43 44 45 46 47 48 49 ecut(irne
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5859 60 61 62 63 64 tmscat .eq. 0.0
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73 74 75 76 no edep .lt. e(np) yes
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subroutine hardx (charge,kEnergy,ke
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1 2 3 4 5 iz = izz iz .eq. 0 no xsi
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13 14 15 16 17 sint .ne. 0. yes rde
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19 im=1 im=im+1 im >nmed no yes no
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22 23 write(kmpo,1610) read(kmpi,12
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26 27 28 iprofm(im) .ne. 1 no yes w
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30 31 32 33 34 esig0(i,im) = esig0(
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36 37 38 no iedgfl(ii).ne.0 .or. ia
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no kaug .eq. 6 call lshell(3) kaug.
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subroutine kxray Version 051219-143
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1 2 3 dfl3aug(5,iz) .eq. 0. no naug
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1 2 3 4 rnnow .le. omegal2(iz) + f2
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1 2 dflx3(6,iz) .eq. 0. no nxray=nx
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1 impacr(ir(np)).eq.1 .and. iedgfl(
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1 2 fject = (ktot - k1grd(iprt,ik1)
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5 6 7 8 9 thr = 1./eta "Central cor
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1 2 3 delta = delcm(medium)*del "Re
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8 9 10 11 12 galpha .ge. 0.0 yes no
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subroutine photo Version 051219-143
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4 5 6 7 8 rnnow .le. pbran(i) no ye
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12 13 14 beta = sqrt((eelec - RM)*(
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subroutine photon Version 051219-14
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6 7 8 9 10 idisc .gt. 0 yes no edep
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17 18 19 20 21 iausfl(iarg+1) ne 0
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27 28 iausfl(iarg+1) ne 0 no ircod
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subroutine rk1 Version 060313-0945
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4 5 6 j=1 j=j+1 j>neke-1 no yes j .
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18 19 20 21 22 23 elkeold = elke k1
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1 2 "end of file; go to 13" read(17
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4 5 "go to 30" no abs(k1mine-k1grd(
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7 8 read(17,'(72a1)') buffer read(1
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subroutine shower (iqi,ei,xi,yi,zi,
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subroutine uphi(ientry,lvl) Version
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subroutine randomset(rndum) Version
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subroutine rluxinit Version 051219-
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1 i=1 i=i+1 i>24 no yes seeds(i) =
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subroutine rluxin Version 051219-14
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Appendix B EGS5 USER MANUAL Hideo H
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Table B.1: Variable descriptions fo
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Table B.12: Variable descriptions f
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Optional parameter modifications Th
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the call to PEGS5 may be skipped if
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egions. Execution of EGS5 is termin
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of the transport in the walls of el
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call rluxinit after specifying LUXL
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END OF FILE ON UNIT 12 PROGRAM STOP
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do i=1,ncases uf(1)=ufi vf(1)=vfi w
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crossed, then USTEP should be set t
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subroutine howfar implicit none inc
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Table B.18: IARG values program sta
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As an example of how to write an AU
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!**********************************
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nreg=3 do i=2,nreg ecut(i)=100.0 pc
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nlines=0 nwrite=15 !---------------
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if (nlines.lt.nwrite) then write(6,
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Appendix C PEGS USER MANUAL Hideo H
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is entered. On each pass through th
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(from previous figure) (to previous
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(from previous figure) | | + ------
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+------+ |BREMTR| +------+ | V +---
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+------+ |PAIRTR| +------+ | V +---
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Name DCSLOAD DCSSTOR DCSTAB ELASTIN
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Name AFFACT AINTP ALKE ALKEI ALIN A
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Table C.5: Functions in PEGS, part
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+------+ +------+ +------+ +------+
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Table C.8: ELEM option input data l
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Table C.10: MIXT option input data
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Table C.12: PWLF option input data
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Table C.17: PLTN option input data
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ICPROF is set to 3, the user must c
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Column Line 12345678911234567892123
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interiors of the intervals. If FEXA
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C.3.6 The TEST Option The TEST opti
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C.3.9 The HPLT Option The Histogram
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Appendix D EGS5 INSTALLATION GUIDE
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egs5 directory (preferably using th
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6. The user is then asked to key-in
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* User code tutor1.f has been compi
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Appendix E CONTENTS OF THE EGS5 DIS
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All of the actual FORTRAN source co
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aprime.data Data for empirical brem
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eryllium iron silicon bismuth krypt
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The tutorial problems and advanced
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Bibliography [1] R. G. Alsmiller Jr
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[28] A. F. Bielajew. HOWFAR and HOW
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[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”, 37 AE, 28,
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Klein-Nishina formula, 62 Landau di
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