1 0 0 3.300000+4 7.427800+1 -1 0 0 13300 1451 1 0.000000+0 0.000000+0 0 0 0 63300 1451 2 0.000000+0 1.000000+8 8 0 3 73300 1451 3 0.000000+0 0.000000+0 0 0 144 243300 1451 4 33-As- 0 LLNL EVAL-Jul97 D.E.Cullen, et al. 3300 1451 5 UCRL50400,Vol.6,Rev.5 DIST-DEC06 20010927 3300 1451 6 ----ENDF/B-VII MATERIAL 3300 3300 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 3300 1451 8 ------ENDF-6 FORMAT 3300 1451 9 =================================================================3300 1451 10 The Livermore Evaluated Photon Data Library (EPDL97) in the 3300 1451 11 ENDF/B-VI format 3300 1451 12 =================================================================3300 1451 13 Contents 3300 1451 14 =================================================================3300 1451 15 MF/MT Description 3300 1451 16 =================================================================3300 1451 17 23/501 Total cross sections 3300 1451 18 23/502 Coherent scattering cross sections 3300 1451 19 23/504 Incoherent scattering cross sections 3300 1451 20 23/515 Pair production cross sections, Electron field 3300 1451 21 23/516 Pair production cross sections, Total 3300 1451 22 23/517 Pair production cross sections, Nuclear field 3300 1451 23 23/522 Total photoionization cross section 3300 1451 24 23/534 K (1S1/2) Photoionization subshell cross section 3300 1451 25 23/535 L1 (2S1/2) Photoionization subshell cross section 3300 1451 26 23/536 L2 (2P1/2) Photoionization subshell cross section 3300 1451 27 23/537 L3 (2P3/2) Photoionization subshell cross section 3300 1451 28 23/538 M1 (3S1/2) Photoionization subshell cross section 3300 1451 29 23/539 M2 (3P1/2) Photoionization subshell cross section 3300 1451 30 23/540 M3 (3P3/2) Photoionization subshell cross section 3300 1451 31 23/541 M4 (3D3/2) Photoionization subshell cross section 3300 1451 32 23/542 M5 (3D5/2) Photoionization subshell cross section 3300 1451 33 23/543 N1 (4S1/2) Photoionization subshell cross section 3300 1451 34 23/544 N2 (4P1/2) Photoionization subshell cross section 3300 1451 35 23/545 N3 (4P3/2) Photoionization subshell cross section 3300 1451 36 =================================================================3300 1451 37 27/502 Coherent scattering form factors 3300 1451 38 27/504 Incoherent scattering functions 3300 1451 39 27/505 Imaginary anomalous scattering factor 3300 1451 40 27/506 Real anomalous scattering factor 3300 1451 41 =================================================================3300 1451 42 Warning 3300 1451 43 =================================================================3300 1451 44 MF/MT combinations used to define photoionization subshell cross3300 1451 45 sections (MF=23, MT=534-572) and coherent anomalous scattering 3300 1451 46 factors (MF=27, MT=505 AND 506) are newly defined MF/MT numbers 3300 1451 47 for ENDF/B-VI that did not exist in earlier versions of ENDF/B. 3300 1451 48 If you are not prepared to use this data you need merely delete 3300 1451 49 it and all of the remaining data will still be consistent and 3300 1451 50 equivalent to the types of data in earlier versions of ENDF/B. 3300 1451 51 However, this will limit the range of problems to which this 3300 1451 52 data can be applied (see: ref. 1 for details). 3300 1451 53 =================================================================3300 1451 54 Definition of new types of data 3300 1451 55 =================================================================3300 1451 56 1) The total photoionization cross section is equal to the sum 3300 1451 57 of the photoionization subshell cross sections. 3300 1451 58 3300 1451 59 For each subshell on the second line of a section the C1 and 3300 1451 60 C2 fields are defined as, 3300 1451 61 3300 1451 62 EPE = The photoionization edge energy (similar to Q-value) 3300 1451 63 EFL = The fluorescence yield (eV/photoionization) 3300 1451 64 3300 1451 65 2) The angular distribution of coherently scattered photons is, 3300 1451 66 3300 1451 67 S(E,MU) = 3*T/8*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 3300 1451 68 3300 1451 69 S(E,MU) = Angular distributions (barns per unit cosine) 3300 1451 70 T = The Thomson cross section 3300 1451 71 MU = The cosine of the scattering angle 3300 1451 72 FF(M) = The atomic form factor 3300 1451 73 M = Momentum transfer = SIN(THETA/2)/LAMBDA/4*PI 3300 1451 74 F1(E) = The real anomalous scattering factor 3300 1451 75 F2(E) = The imaginary anomalous scattering factor 3300 1451 76 3300 1451 77 F1(E) and F2(E) are isotropic. 3300 1451 78 3300 1451 79 When F1(E) = F2(E) = 0 this reduces to the result obtained 3300 1451 80 using only form factors (the older ENDF/B convention). 3300 1451 81 =================================================================3300 1451 82 Differences between EPDL97 and the data base presented here 3300 1451 83 =================================================================3300 1451 84 1) Energy range - EPDL97 - 1 eV to 100 GeV 3300 1451 85 Here - 1 eV TO 100 GeV (previously 100 MeV) 3300 1451 86 2) Type of Data - EPDL97 - Photon interaction including 3300 1451 87 photoexcitation 3300 1451 88 Here - Photon interaction - ENDF/B-VI has 3300 1451 89 no provision for photoexcitation 3300 1451 90 3) Secondary E - EPDL97 - Average energy of each secondary 3300 1451 91 (photons, electrons, positrons) 3300 1451 92 HERE - No secondary energy data 3300 1451 93 4) Interpolation- EPDL97 - Cross sections are Log X vs. Log Y 3300 1451 94 interpolable - the total cross 3300 1451 95 section is not included 3300 1451 96 - Form factors and scattering functions 3300 1451 97 are Log X vs. Log y, except first 3300 1451 98 interval. 3300 1451 99 - Anomalous scattering factors linearly 3300 1451 100 interpolable (they can be negative) 3300 1451 101 Here - Up through ENDF/B-V photon interaction3300 1451 102 cross sections were Log X vs. Log Y. 3300 1451 103 - For the first two Mods. of ENDF/B-VI 3300 1451 104 in order to consistently define the 3300 1451 105 total cross sections at ALL energies 3300 1451 106 all cross sections were linearized. 3300 1451 107 This was NOT a good idea. 3300 1451 108 - Starting with Mod. 3, cross sections 3300 1451 109 are left in Log X vs. Log. Y form so 3300 1451 110 that they are IDENTICAL to what's in 3300 1451 111 EPDL97. 3300 1451 112 The total is defined ONLY at the 3300 1451 113 energies tabulated in any other cross 3300 1451 114 section. 3300 1451 115 WARNING - As a result the total cross section 3300 1451 116 MUST NOT be interpolated to define the3300 1451 117 total between tabulated energies. The 3300 1451 118 ONLY consist way to define the total 3300 1451 119 between tabulated energies is to 3300 1451 120 interpolate all of the partials and 3300 1451 121 add them up. 3300 1451 122 =================================================================3300 1451 123 References 3300 1451 124 =================================================================3300 1451 125 1) D.E. Cullen, M.H. Chen, J.H. Hubbell, S.T. Perkins, 3300 1451 126 E.F. Plechaty, J.A. Rathkopf and J.H. Scofield, Tables and 3300 1451 127 graphs of photon interaction cross sections from 10 eV to 100 3300 1451 128 GeV derived from the LLNL Evaluated Photon data library (EPDL), 3300 1451 129 UCRL-50400, Vol. 6, Rev. 4, Part A: Z = 1 to 50 and Part B: 3300 1451 130 Z = 51 to 100, Lawrence Livermore National Laboratory (1989) 3300 1451 131 3300 1451 132 2) D.E. Cullen, J.H. Hubbell and L.D. Kissel, EPDL97: the 3300 1451 133 Evaluated Photon Data Library, '97 Version, UCRL-50400, Vol. 6, 3300 1451 134 Rev. 5, Lawrence Livermore National Laboratory (1997) 3300 1451 135 3300 1451 136 These are the primary references to the contents of this library3300 1451 137 and they contain a complete list of references to the sources 3300 1451 138 of data used in this library, methods of evaluation, accuracy 3300 1451 139 of the data, etc. 3300 1451 140 =================================================================3300 1451 141 History 3300 1451 142 =================================================================3300 1451 143 Mod. 1 - October, 1989 - Initial release. 3300 1451 144 Mod. 2 - August, 1990 - Updated photoionization total and 3300 1451 145 subshell cross sections. 3300 1451 146 Mod. 3 - July, 1997 - Complete re-evaluation. 3300 1451 147 =================================================================3300 1451 148 1 451 172 13300 1451 149 23 501 723 13300 1451 150 23 502 336 13300 1451 151 23 504 40 13300 1451 152 23 515 33 13300 1451 153 23 516 51 13300 1451 154 23 517 38 13300 1451 155 23 522 325 13300 1451 156 23 534 22 13300 1451 157 23 535 27 13300 1451 158 23 536 37 13300 1451 159 23 537 31 13300 1451 160 23 538 33 13300 1451 161 23 539 41 13300 1451 162 23 540 40 13300 1451 163 23 541 52 13300 1451 164 23 542 52 13300 1451 165 23 543 62 13300 1451 166 23 544 52 13300 1451 167 23 545 52 13300 1451 168 27 502 53 13300 1451 169 27 504 55 13300 1451 170 27 505 125 13300 1451 171 27 506 100 13300 1451 172 0.000000+0 0.000000+0 0 0 0 03300 1 099999 0.000000+0 0.000000+0 0 0 0 03300 0 0 0 3.300000+4 7.427800+1 0 0 0 0330023501 1 0.000000+0 0.000000+0 0 0 1 2159330023501 2 2159 5 330023501 3 1.000000+0 3.342993-4 1.136596+0 5.681408-4 1.258900+0 8.781227-4330023501 4 1.325641+0 1.094337-3 1.466095+0 1.693233-3 1.559158+0 2.220493-3330023501 5 1.584900+0 2.389155-3 1.695655+0 3.231494-3 1.803290+0 4.279899-3330023501 6 1.859642+0 4.935755-3 1.995300+0 6.885786-3 2.103223+0 8.833631-3330023501 7 2.245913+0 1.215937-2 2.316646+0 1.418960-2 2.446532+0 1.871752-2330023501 8 2.511900+0 2.149360-2 2.513611+0 2.157050-2 2.640420+0 2.808550-2330023501 9 2.759790+0 3.588748-2 2.816693+0 4.033962-2 2.935337+0 5.138709-2330023501 10 2.981201+0 5.648173-2 3.077183+0 6.874203-2 3.162300+0 8.191323-2330023501 11 3.171150+0 8.339729-2 3.265667+0 1.014693-1 3.341833+0 1.190094-1330023501 12 3.424369+0 1.418975-1 3.491848+0 1.641232-1 3.559899+0 1.907114-1330023501 13 3.623697+0 2.203227-1 3.693411+0 2.588746-1 3.739579+0 2.886640-1330023501 14 3.792147+0 3.280173-1 3.841429+0 3.710852-1 3.887631+0 4.180803-1330023501 15 3.930946+0 4.692120-1 3.971553+0 5.247433-1 3.981100+0 5.392849-1330023501 16 4.009622+0 5.849459-1 4.048711+0 6.566335-1 4.078772+0 7.199770-1330023501 17 4.110140+0 7.953717-1 4.139548+0 8.764365-1 4.167117+0 9.634657-1330023501 18 4.192964+0 1.056762+0 4.217195+0 1.156656+0 4.239912+0 1.263506+0330023501 19 4.261209+0 1.377637+0 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4.662405+0 7.437792+1 4.666104+0 7.561175+1 4.671565+0 7.697518+1330023501 33 4.678172+0 7.784257+1 4.683170+0 7.790244+1 4.690050+0 7.712908+1330023501 34 4.694920+0 7.598972+1 4.698531+0 7.483885+1 4.703681+0 7.277038+1330023501 35 4.708509+0 7.040742+1 4.716312+0 6.583105+1 4.721354+0 6.245927+1330023501 36 4.725029+0 5.983915+1 4.729877+0 5.621993+1 4.733653+0 5.330554+1330023501 37 4.738509+0 4.948379+1 4.743442+0 4.556816+1 4.748594+0 4.150075+1330023501 38 4.755421+0 3.624282+1 4.760354+0 3.259407+1 4.761763+0 3.158072+1330023501 39 4.767048+0 2.791331+1 4.771672+0 2.489367+1 4.772333+0 2.447775+1330023501 40 4.783608+0 1.801589+1 4.787946+0 1.586013+1 4.791414+0 1.426967+1330023501 41 4.795302+0 1.262545+1 4.799815+0 1.089607+1 4.804374+0 9.337471+0330023501 42 4.809778+0 7.721264+0 4.813559+0 6.731130+0 4.818366+0 5.626833+0330023501 43 4.825028+0 4.358124+0 4.836592+0 2.775364+0 4.841650+0 2.291517+0330023501 44 4.844778+0 2.046901+0 4.847711+0 1.852378+0 4.851748+0 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