THE EGS5 CODE SYSTEM

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Name DIFFER EFUNS GFUNS HPLT1 LAY MIX PLOT PMDCON PWLF1 RFUNS SPINIT SFUNS CFUNS3 CFUNS4 EIIFUNS MAKEK1 Table C.1: Subroutines in PEGS. Description Determines the various parameters needed for bremsstrahlung and pair production energy sampling. Subprogram to compute electron functions to be fit in a way that avoids repetition. Subprogram to compute photon functions to be fit in a way that avoids repetition. Creates line printer plot comparisons of EGS-sampled data (UCTESTSR User Code) and theoretical functions of PEGS. Subprogram to produce a file of material dependent data (for subsequent use 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 very mnemonic way. Subprogram to piecewise linearly fit up to 10 functions simultaneously on an interval (XL,XU). Subprogram to compute Rayleigh scattering functions to be fit in a way that avoids 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
Name DCSLOAD DCSSTOR DCSTAB ELASTINO ELINIT ESTEPLIM FINDI FITMS GAULEG GSCOEF GSDIST INIGRD INTEG LEGENP PRELASTINO SPLINE WMSFIT Table C.2: Goudsmit-Saunderson-related subroutines in PEGS. Description Loads molecular elastic differential cross sections tables for multi-material PEGS runs. Stores molecular elastic differential cross sections tables for multi-material PEGS runs. Computes tables of the molecular elastic differential cross sections for electrons and positrons. Prepares cumulative Goudsmit-Saunderson multiple scattering distributions on problem dependent energy and scattering strength grids. Reads differential elastic scattering cross section data for electrons and positrons. Computes the maximum electron energy hinge step (in units of fractional energy loss) which assures a given error tolerance (currently fixed at 0.1%) in the 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 fast sampling in EGS. Provides abscissas and weights for Gauss-Legendre quadrature. Computes Goudsmit-Saunderson transport coefficients. Computes Goudsmit-Saunderson multiple scattering probability density functions. 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 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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+ 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
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 modifications Th
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 rluxinit after specifying LUXL
Page 349 and 350: END OF FILE ON UNIT 12 PROGRAM STOP
Page 351 and 352: do i=1,ncases uf(1)=ufi vf(1)=vfi w
Page 353 and 354: crossed, then USTEP should be set t
Page 355 and 356: subroutine howfar implicit none inc
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=3 do i=2,nreg ecut(i)=100.0 pc
Page 365 and 366: nlines=0 nwrite=15 !---------------
Page 367 and 368: if (nlines.lt.nwrite) then write(6,
Page 369 and 370: Appendix C PEGS USER MANUAL Hideo H
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: Name AFFACT AINTP ALKE ALKEI ALIN A
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: Column Line 12345678911234567892123
Page 401 and 402: interiors of the intervals. If FEXA
Page 403 and 404: C.3.6 The TEST Option The TEST opti
Page 405 and 406: C.3.9 The HPLT Option The Histogram
Page 407 and 408: Appendix D EGS5 INSTALLATION GUIDE
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 E CONTENTS OF THE EGS5 DIS
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: 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
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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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