THE EGS5 CODE SYSTEM

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Name BREMDR BREMFR BREMDZ BREMFZ BREMRM BREMRR BREMRZ BREMTM BREMTR BRMSDZ BRMSFZ BRMSRM BRMSRZ BRMSTM COHETM COHETZ COMPDM COMPFM COMPRM COMPTM CPRFIL CRATIO CSDAR ESIG DCADRE DCSEL DCSN EBIND EBR1 EDEDX Table C.4: Functions in PEGS, part 2. Description Bremsstrahlung differential cross section for a run-time mixture of elements. One argument form of BREMDR. Bremsstrahlung differential cross section for an element. One argument form of BREMDZ. Bremsstrahlung cross section, integrated over some energy range, for a mixture of elements. Bremsstrahlung cross section, integrated over some energy range, for a runtime mixture of elements. Bremsstrahlung cross section, integrated over some energy range, for an element. Bremsstrahlung total cross section for a mixture of elements. Bremsstrahlung total cross section for a run-time mixture of elements. Soft bremsstrahlung differential cross section for an element. One argument form of BRMSDZ. Soft bremsstrahlung cross section, integrated over some energy range, for a mixture of elements. Soft bremsstrahlung cross section integrated over some energy range, for an element. Soft bremsstrahlung total cross section for a mixture of elements. Coherent (Rayleigh) total cross section for a mixture of elements. Coherent (Rayleigh) total cross section for an element. Compton differential cross section for a mixture of elements. One argument form for COMPDM. Compton cross section, integrated over some energy range, for a mixture of elements. Compton total cross section for a mixture of elements. Shell-wise Compton profiles. Coherent (Rayleigh) cross section ratio. Returns previously computed and stored values of CSDA range for electrons and positrons. Determines the total electron(-) interaction cross section (probability per radiation length). Quadrature routine to integrate f(x) between a and b using cautious Romberg extrapolation. Computes differential elastic scattering cross sections from data which has been fitted by cubic splines. Computes arbitrary Goudsmit-Saunderson elastic scattering transport coefficients from cross section data which has been fitted by cubic splines. Function to get an average photo-electric binding energy. Function to determine the electron(-) branching ratio (brem/total). Evaluates SPTOTE with cutoff energies of AE and AP. 368
Table C.5: Functions in PEGS, part 3. Name Description EIITM K shell EII cross section ESTEPMAX Returns previously computed and stored values of maximum electron energy hinge steps. FCOULC Coulomb correction term in pair production and bremsstrahlung cross sections. FI Function multiplexer. G1E Computes scatter powering for positrons and electrons from either splines of partial wave cross sections or analytical form of Molière cross section. G1EDEDX Computes product of first elastic transport cross section and inverse stopping power for electrons. G1PDEDX Computes product of first elastic transport cross section and inverse stopping power for positrons. GBR1 Function to determine the gamma-ray branching ratio (pair/total). GBR2 Function to determine the gamma-ray branching ratio ((pair+Compton)/total). GMFP Function to determine the gamma-ray mean free path. K1E Computes scattering strength for electrons and positrons from spline data. IFUNT Given PEGS function name, it looks it up name in table and returns the function index. Used by options that specify functions by name. PAIRDR Pair production differential cross section for a run-time mixture of elements. PAIRDZ Pair production differential cross section for an element. PAIRFR One argument form of PAIRDR. PAIRFZ One argument form of PAIRDZ. PAIRRM Pair production cross section, integrated over some energy range, for a mixture of elements. PAIRRR Pair production cross section, integrated over some energy range, for a runtime mixture of elements. PAIRRZ Pair production cross section, integrated over some energy range, for an element. PAIRTE Empirical total pair production production cross section for a mixture (=SUM(PZ(I)*PAIRTZ(Z(I))). PAIRTM Pair production total cross section for a mixture of elements, obtained by numerical integration of differential cross section. PAIRTR Pair production total cross section for a run-time mixture of elements. PAIRTU Pair production total cross section actually used. Same as PAIRTE for primary energy less than 50 MeV; otherwise, same as PAIRTM. PAIRTZ Computes contribution to empirical pair production total cross section for an element assuming one atom per molecule. It is obtained by log-linear interpolation of Storm-Israel data. 369
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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
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Table B.1: Variable descriptions fo
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Table B.2: Variable descriptions fo
Page 333 and 334: Table B.5: Variable descriptions fo
Page 335 and 336: Table B.8: 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 and 380: +------+ |PAIRTR| +------+ | V +---
Page 381 and 382: Name DCSLOAD DCSSTOR DCSTAB ELASTIN
Page 383: Name AFFACT AINTP ALKE ALKEI ALIN A
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
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
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Index “shower book”, 37 AE, 28,
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Klein-Nishina formula, 62 Landau di
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