THE EGS5 CODE SYSTEM

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C.2 Goudsmit-Saunderson-related subroutines in PEGS. . . . . . . . . . . . . . . . . . . 365 C.3 Functions in PEGS, part 1. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 367 C.4 Functions in PEGS, part 2. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 368 C.5 Functions in PEGS, part 3. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 369 C.6 Functions in PEGS, part 4. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 370 C.7 ELEM option input data lines in PEGS, part 1. . . . . . . . . . . . . . . . . . . . . . 372 C.8 ELEM option input data lines in PEGS, part 2. . . . . . . . . . . . . . . . . . . . . . 373 C.9 COMP option input data lines in PEGS. . . . . . . . . . . . . . . . . . . . . . . . . . 374 C.10 MIXT option input data lines in PEGS. . . . . . . . . . . . . . . . . . . . . . . . . . 375 C.11 ENER option input data lines in PEGS. . . . . . . . . . . . . . . . . . . . . . . . . . 376 C.12 PWLF option input data lines in PEGS. . . . . . . . . . . . . . . . . . . . . . . . . . 377 C.13 DECK option input data lines in PEGS. . . . . . . . . . . . . . . . . . . . . . . . . . 378 C.14 TEST option input data lines in PEGS. . . . . . . . . . . . . . . . . . . . . . . . . . 378 C.15 CALL option input data lines in PEGS. . . . . . . . . . . . . . . . . . . . . . . . . . 378 C.16 PLTI option input data lines in PEGS. . . . . . . . . . . . . . . . . . . . . . . . . . . 378 C.17 PLTN option input data lines in PEGS. . . . . . . . . . . . . . . . . . . . . . . . . . 379 C.18 HPLT option input data lines in PEGS. . . . . . . . . . . . . . . . . . . . . . . . . . 379 C.19 Distribution functions available with PLTI and PLTN. . . . . . . . . . . . . . . . . . 388 xiii
PREFACE In the nineteen years since EGS4 was released, it has been used in a wide variety of applications, particularly in medical physics, radiation measurement studies, and industrial development. Every new user and every new application bring new challenges for Monte Carlo code designers, and code refinements and bug fixes eventually result in a code that becomes difficult to maintain. Several of the code modifications represented significant advances in electron and photon transport physics, and required a more substantial invocation than code patching. Moreover, the arcane MORTRAN3[48] computer language of EGS4, was highest on the complaint list of the users of EGS4. The size of the EGS4 user base is difficult to measure, as there never existed a formal user registration process. However, some idea of the numbers may be gleaned from the number of EGS4 manuals that were produced and distributed at SLAC: almost three thousand. Consequently, the EGS5 project was undertaken. It was decided to employ the FORTRAN 77 compiler, yet include as much as possible, the structural beauty and power of MORTRAN3. We wish to acknowledge Patrick Lui (Technology Transfer Office at SLAC) for administrating the business end of this project and securing sufficient funds to enable its completion. We wish to acknowledge Dr. Ray Cowan (MIT/SLAC BaBar) for converting the SLAC-265 document, written in TEX/Psizzl to L A TEX. SLAC 265 served as the foundation upon which this document is built. Finally, we wish to acknowledge Prof. David W. O. Rogers, co-author of EGS4, for his many years of EGS4 development and Monte Carlo leadership. We also wish to thank Dr. James Liu (SLAC Radiation Physics Group) for helping to create and run the suite of benchmarking codes for EGS5. Dr. Francesc Salvat’s assistance in developing the sampling methods for the multiple elastic scattering distributions is most gratefully acknowledged. This report consists of four chapters and several appendices. Chapter 1 is an introduction to EGS5 and to this report in general. We suggest that you read it. Chapter 2 is a major update of similar chapters in the old EGS4 report[126] (SLAC-265) and the old EGS3 report[61] (SLAC-210), in which all the details of the old physics (i.e., models which were carried over from EGS4) and the new physics are gathered together. The descriptions of the new physics are extensive, and not for the faint of heart! Detailed knowledge of the contents of Chapter 2 is not essential in order to use EGS, but sophisticated users should be aware of its contents. In particular, details of the restrictions on the range of applicability of EGS are dispersed throughout the chapter. First-time users of EGS should skip Chapter 2 and come back to it later if necessary. xiv
Page 1 and 2: THE EGS5 CODE SYSTEM 1 Hideo Hiraya
Page 3 and 4: Contents 1 INTRODUCTION 1 1.1 Inten
Page 5 and 6: 2.15.6 Electron Step-Size Selection
Page 7 and 8: B.4.9 Output of Results (Step 9) .
Page 9 and 10: List of Figures 2.1 Program flow an
Page 11 and 12: C.4 Subprogram relationships in PEG
Page 13: B.5 Variable descriptions for COMMO
Page 17 and 18: Chapter 1 INTRODUCTION 1.1 Intent o
Page 19 and 20: “shower book”. For various reas
Page 21 and 22: 1.2.2 EGS1 About this time Nelson b
Page 23 and 24: MSCAT. These versions of EGS, PEGS,
Page 25 and 26: ten for energies less than 100 MeV
Page 27 and 28: - Molière multiple scattering (i.e
Page 29 and 30: EGS5. The primary advantages of thi
Page 31 and 32: ICRU37-compliant using the NIST dat
Page 33 and 34: high Z materials. Del Guerra et al.
Page 35 and 36: One of these six cross sections is
Page 37 and 38: at low energies. The latter, couple
Page 39 and 40: If E 1 and E 2 are expressions invo
Page 41 and 42: The result of this algorithm is tha
Page 43 and 44: 2.4 Particle Transport Simulation T
Page 45 and 46: from appropriate distribution funct
Page 47 and 48: parameters which may be needed. The
Page 49 and 50: arrived at their values in a very m
Page 51 and 52: Math FORTRAN Program Table 2.1 (con
Page 53 and 54: Figure 2.2: Feynman diagrams for br
Page 55 and 56: defined by δ ij = 1 if i = j, 0 ot
Page 57 and 58: Davies, Bethe and Maximon[49] (e.g.
Page 59 and 60: cross section given in Equation 2.4
Page 61 and 62: and use this as the variable to be
Page 63 and 64: 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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+ 1 E 2 ′ − 1 E 1 ′ − C 2 l
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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 D
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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 that ln [1.13 + 3.76(αZ
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g 3 (θ) = θ4 ( ) λf (0) (θ) + f
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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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x Final Direction φ Θ ∆x t Init
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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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Final Direction x Energy Hinges φ
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Transport Steps, ∆ E = E x ESTEPE
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tranport step 1 DEINITIAL1 DERESID1
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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 slow step
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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 Electrons 0.01 0.001 Li C L
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actions involving photons with ener
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Cu 40 keV Counts (/keV/sr/source) 1
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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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Z θ k Y O φ e 0 X k 0 Figure 2.23
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Note the similarities and differenc
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X Z ω k 0 O e 0 Y Figure 2.25: Dir
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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-c
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! plate is 1 mm thick !------------
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implicit none include ’include/eg
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0.989 MeV kinetic energy Brem photo
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! locally (in fact EDEP = particles
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inmax=max(binmax,ebin(j)) end do wr
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0.40 0.0058 * 0.60 0.0054 * 0.80 0.
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!----------------------------------
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endif if(loop.lt.3) then write(6,12
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180 FORMAT(/’ Knock-on electrons
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common/score/escore(3), iscore(3) r
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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 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
Page 331 and 332:
Page 333 and 334:
Page 335 and 336:
Page 337 and 338:
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
Page 421 and 422:
eryllium iron silicon bismuth krypt
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
Page 431 and 432:
[92] H. Kolbenstvedt. Simple theory
Page 433 and 434:
[123] Y. Namito, H. Hirayama, A. Ta
Page 435 and 436:
[156] Y. A. Shreider, editor. The M
Page 437 and 438:
Index “shower book”, 37 AE, 28,
Page 439 and 440:
Klein-Nishina formula, 62 Landau di
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THE EGS5 CODE SYSTEM

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