THE EGS5 CODE SYSTEM

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3 4 costhe = 1.d0 - 2.d0 * xmu sinthe = DSQRT(1.d0 - costhe * costhe) iskpms = 0 nomsct(ir(np)).eq.1 .or. iskpms.ne.0 no xr = sqrt(gms*tvstep*b) yes sinthe = 0. costhe = 1. theta = 0. noscat = noscat + 1 iskpms = 0 "Set bi (B-inverse) that will be used in sampling (bi must not be larger than 1/lambda=1/2)" b .gt. 2. no yes bi = 1./b bi = 0.5 bmd = 1. + 1.75*bi bm1 = (1. - 2./b)/bmd bm2 = (1. + 0.025*bi)/bmd call randomset (rms1) " Loop for Bethe correction factor (or other) rejection" rms1 .le. bm1 no yes "Gaussian, F1" call randomset (rms2) no "Tail, F3" rms1 .le. bm2 yes call randomset (rms3) rms2 .eq. 0. yes rms2 = 1.E-30 no thr = sqrt(max(0.D0,-log(rms2))) call randomset (rms4) "Rejection sampling loop" eta = max(rms3,rms4) i31 = b0g31 + eta*b1g31 g31 = g310(i31) + eta*(g311(i31) + eta*g312(i31)) i32 = b0g32 + eta*b1g32 g32 = g320(i32) + eta*(g321(i32) + eta*g322(i32)) g3 = g31 + g32*bi call randomset (rms5) yes rms5 .gt. g3 5 6 7 no 8 9 266
5 6 7 8 9 thr = 1./eta "Central correction, F2" call randomset (rms6) "Rejection sampling loop" thr = rms6 i21 = b0g21 + thr*b1g21 g21 = g210(i21) + thr*(g211(i21) + thr*g212(i21)) i22 = b0g22 + thr*b1g22 g22 = g220(i22) + thr*(g221(i22) + thr*g222(i22)) g2 = g21 + g22*bi yes call randomset (rms7) no rms7 .gt. g2 theta = thr*xr "Real angle (thr is the reduced angle)" yes theta .ge. PI no sinthe = sin(theta) call randomset (rms8) no rms8**2*theta .le. sinthe yes cthet = PI5D2 - theta costhe = sin(cthet) return (to electr) 267
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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(
Page 231 and 232: 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: 1 2 fject = (ktot - k1grd(iprt,ik1)
Page 285 and 286: 1 2 3 delta = delcm(medium)*del "Re
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
Page 331 and 332: Table B.2: Variable descriptions fo
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Table B.5: 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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