THE EGS5 CODE SYSTEM

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parameters for the pair production and bremsstrahlung sampling routines. The following are examples of sets of input data lines that can be used with the ELEM, MIXT, and COMP options: 1. Material - Element is Iron with defaults taken. Column Line 123456789112345678921234567893123456789412345678..etc. ELEM1 ELEM ELEM2 &INP &END ELEM3 IRON FE ELEM4 FE 2. Material - Element is Helium-3 with the density and atomic weight overridden by user. Column Line 123456789112345678921234567893123456789412345678..etc. ELEM1 ELEM ELEM2 &INP RHO=1.E-2,WA(1)=3 &END ELEM3 HELIUM-3 HE ELEM4 HE 3. Material - Compound is sodium iodide, and IDSTRN(1:24) defaults to MEDIUM(1:24). Line COMP1 COMP2 COMP3 COMP4 Column 123456789112345678921234567893123456789412345678..etc. COMP &INP NE=2,RHO=3.667,PZ(1)=1,PZ(2)=1 &END NAI NA I 4. Material - Compound is polystyrene scintillator (e.g., PILOT-B or NE-102A) with data taken from: “Particle Properties Data Booklet, April 1982” (Physics Letters 111B, April 1982). Sternheimer-Peierls default. Column Line 123456789112345678921234567893123456789412345678..etc. COMP1 COMP COMP2 &INP NE=2,RHO=1.032,PZ(1)=1,PZ(2)=1.1 &END COMP3 POLYSTYRENE SCINTILLATOR COMP4 C H 5. Material - Mixture is lead glass, consisting of five specified elements (and 1 per cent of the trace elements unspecified). Sternheimer-Peierls default. 382
Column Line 123456789112345678921234567893123456789412345678..etc. MIXT1 MIXT MIXT2 &INP NE=5,RHO=3.61,RHOZ=41.8,21.0,29.0,5.0,2.2 &END MIXT3 LEAD GLASS MIXT4 PB SI O K NA 6. Material - Mixture is U-235, U-238, and carbon (not a real material). Sternheimer-Peierls default. Column Line 123456789112345678921234567893123456789412345678..etc. MIXT1 MIXT MIXT2 &INP NE=3,RHO=16,WA=235,238,RHOZ=50,30,10 &END MIXT3 JUNK MIXT4 U U C 7. Material - Element is Iron with shell-wise Compton profile. Column Line 123456789112345678921234567893123456789412345678..etc. ELEM1 ELEM ELEM2 &INP IBOUND=1,INCOH=1,ICPROF=-3 &END ELEM3 IRON FE ELEM4 FE 8. Material - Element is Iron with EII cross section by Casnati’s formula. Column Line 123456789112345678921234567893123456789412345678..etc. ELEM1 ELEM ELEM2 &INP IMPACT=1 &END ELEM3 IRON FE ELEM4 FE C.3.3 The ENER Option The ENERgy option is used to define the electron and photon energy intervals over which it is desired to transport particles, and hence, over which fits to total cross sections and branching ratios must be made. The electron energy interval is (AE,UE) and the photon interval is (AP,UP). If any of these parameter is entered by the user with a negative value, it is multiplied by -0.511 MeV; that is, the absolute magnitude of the input energy is assumed to be in units of the electron rest mass energy. The quantities TE=AE-RM, TET2=2*TE, and TEM=TE/RM, as well as the bremsstrahlung and Møller thresholds (RM+AP and AE+TM, respectively), are then computed and printed out. 383
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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.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
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 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: ICPROF is set to 3, the user must c
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
Page 437 and 438: Index “shower book”, 37 AE, 28,
Page 439 and 440: Klein-Nishina formula, 62 Landau di
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