THE EGS5 CODE SYSTEM

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subroutine pair Version 051219-1435 ipair = ipair +1 eig = e(np) eig .le. 2.1 yes "Approximate:smoothing connection at boundary" call randomset(rnnow1) lvx = 1 lvl0 = 0 yes eig .lt. 50. no ese2 = RM + rnnow*(eig/2. - RM) no lvx = 2 lvl0 = 3 call randomset(rnnow1) call randomset(rnnow) "Uniform distribution" "Rejection sampling loop" "12(br-0.5)**2 subdistribution" rnnow .ge. bpar(lvx,medium) yes lvl = lvl0 + 1 call randomset(rnnow2) call randomset(rnnow3) no lvl = lvl0 + 3 br = rnnow1*0.5 br = 0.5*(1.0 - max(rnnow1,rnnow2,rnnow3)) yes eig*br .lt. RM no del = 1.0/(eig*br*(1.0 - br)) yes del .ge. delpos(lvx,medium) no 1 2 3 268
1 2 3 delta = delcm(medium)*del "Rejection sampling loop" delta .lt. 1.0 yes no rejf = dl1(lvl,medium) + delta*(dl2(lvl,medium) + delta*dl3(lvl,medium)) rejf = dl4(lvl,medium) + dl5(lvl,medium)*log(delta + dl6(lvl,medium)) call randomset(rnnow) yes rnnow .gt. rejf no ese2 = br*eig "Set up secondary electron #1 (electron #2 has lower energy)" "Sample to get polar angles of secondary electrons" "Sample lowest-order angular distribution" ese1 = eig - ese2 e(np) = ese1 e(np+1) = ese2 k1step(np) = 0. k1init(np) = 0. k1rsd(np) = 0. k1step(np+1) = 0. k1init(np+1) = 0. k1rsd(np+1) = 0. (iprdst.eq.1).or. ((iprdst.eq.2).and. (eig.lt.4.14)) ichrg=1 ichrg=ichrg+1 ichrg>2 no yes ichrg .eq. 1 yes ese = ese1 no ese = ese2 pse = sqrt(max(0.D0,(ese - RM)*(ese + RM))) call randomset(rnnow) costhe = 1.0 - 2.0*rnnow sinthe = RM*sqrt((1.0 - costhe)*(1.0 + costhe))/(pse*costhe + ese) costhe = (ese*costhe + pse)/(pse*costhe + ese) 4 5 6 7 269
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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
Page 233 and 234: 3 4 5 6 icprof(medium) .eq. 3 no ye
Page 235 and 236: subroutine counters_out Version 051
Page 237 and 238: 1 2 3 4 5 6 7 no ii .ne. jj yes no
Page 239 and 240: © ne 1 2 3 neispl = (2*neispl + 1)
Page 241 and 242: subroutine electr(ircode) ielectr =
Page 243 and 244: 7 8 9 10 11 12 13 detot = e(np)-ecu
Page 245 and 246: 2324 25 26 27 28 29 30 ustep .gt. d
Page 247 and 248: 4142 43 44 45 46 47 48 49 ecut(irne
Page 249 and 250: 5859 60 61 62 63 64 tmscat .eq. 0.0
Page 251 and 252: 73 74 75 76 no edep .lt. e(np) yes
Page 253 and 254: subroutine hardx (charge,kEnergy,ke
Page 255 and 256: 1 2 3 4 5 iz = izz iz .eq. 0 no xsi
Page 257 and 258: 13 14 15 16 17 sint .ne. 0. yes rde
Page 259 and 260: 19 im=1 im=im+1 im >nmed no yes no
Page 261 and 262: 22 23 write(kmpo,1610) read(kmpi,12
Page 263 and 264: 26 27 28 iprofm(im) .ne. 1 no yes w
Page 265 and 266: 30 31 32 33 34 esig0(i,im) = esig0(
Page 267 and 268: 36 37 38 no iedgfl(ii).ne.0 .or. ia
Page 269 and 270: no kaug .eq. 6 call lshell(3) kaug.
Page 271 and 272: subroutine kxray Version 051219-143
Page 273 and 274: 1 2 3 dfl3aug(5,iz) .eq. 0. no naug
Page 275 and 276: 1 2 3 4 rnnow .le. omegal2(iz) + f2
Page 277 and 278: 1 2 dflx3(6,iz) .eq. 0. no nxray=nx
Page 279 and 280: 1 impacr(ir(np)).eq.1 .and. iedgfl(
Page 281 and 282: 1 2 fject = (ktot - k1grd(iprt,ik1)
Page 283: 5 6 7 8 9 thr = 1./eta "Central cor
Page 287 and 288: 8 9 10 11 12 galpha .ge. 0.0 yes no
Page 289 and 290: subroutine photo Version 051219-143
Page 291 and 292: 4 5 6 7 8 rnnow .le. pbran(i) no ye
Page 293 and 294: 12 13 14 beta = sqrt((eelec - RM)*(
Page 295 and 296: subroutine photon Version 051219-14
Page 297 and 298: 6 7 8 9 10 idisc .gt. 0 yes no edep
Page 299 and 300: 17 18 19 20 21 iausfl(iarg+1) ne 0
Page 301 and 302: 27 28 iausfl(iarg+1) ne 0 no ircod
Page 303 and 304: subroutine rk1 Version 060313-0945
Page 305 and 306: 4 5 6 j=1 j=j+1 j>neke-1 no yes j .
Page 307 and 308: 18 19 20 21 22 23 elkeold = elke k1
Page 309 and 310: 1 2 "end of file; go to 13" read(17
Page 311 and 312: 4 5 "go to 30" no abs(k1mine-k1grd(
Page 313 and 314: 7 8 read(17,'(72a1)') buffer read(1
Page 315 and 316: subroutine shower (iqi,ei,xi,yi,zi,
Page 317 and 318: subroutine uphi(ientry,lvl) Version
Page 319 and 320: subroutine randomset(rndum) Version
Page 321 and 322: subroutine rluxinit Version 051219-
Page 323 and 324: 1 i=1 i=i+1 i>24 no yes seeds(i) =
Page 325 and 326: subroutine rluxin Version 051219-14
Page 327 and 328: Appendix B EGS5 USER MANUAL Hideo H
Page 329 and 330: Table B.1: Variable descriptions fo
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Table B.8: 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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THE EGS5 CODE SYSTEM

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