11-Na Evaluated Photon Data Library (EPDL97) by Red Cullen 6000 0 0 0 1.100000+4 2.279230+1 -1 0 0 31100 1451 1 0.0 0.0 0 0 0 61100 1451 2 0.0 0.0 0 0 3 61100 1451 3 0.0 0.0 0 0 137 171100 1451 4 11-NA LLNL Eval-Jul97 D.E.Cullen, et al. 1100 1451 5 UCRL50400,Vol.6,Rev.5 Dist-Jul97 Rev0-Oct89 1100 1451 6 ---- ENDF/B-VI MATERIAL 1100 1100 1451 7 ----- PHOTO-ATOMIC INTERACTION DATA 1100 1451 8 ------ ENDF/B-6 1100 1451 9 =================================================================1100 1451 10 The Livermore Evaluated Photon Data Library (EPDL97) in the 1100 1451 11 ENDF/B-VI format 1100 1451 12 =================================================================1100 1451 13 Contents 1100 1451 14 =================================================================1100 1451 15 MF/MT Description 1100 1451 16 =================================================================1100 1451 17 23/501 Total cross sections 1100 1451 18 23/502 Coherent scattering cross sections 1100 1451 19 23/504 Incoherent scattering cross sections 1100 1451 20 23/515 Pair production cross sections, Electron field 1100 1451 21 23/516 Pair production cross sections, Total 1100 1451 22 23/517 Pair production cross sections, Nuclear field 1100 1451 23 23/522 Total photoionization cross section 1100 1451 24 23/534 K (1S1/2) Photoionization subshell cross section 1100 1451 25 23/535 L1 (2S1/2) Photoionization subshell cross section 1100 1451 26 23/536 L2 (2P1/2) Photoionization subshell cross section 1100 1451 27 23/537 L3 (2P3/2) Photoionization subshell cross section 1100 1451 28 23/538 M1 (3S1/2) Photoionization subshell cross section 1100 1451 29 =================================================================1100 1451 30 27/502 Coherent scattering form factors 1100 1451 31 27/504 Incoherent scattering functions 1100 1451 32 27/505 Imaginary anomalous scattering factor 1100 1451 33 27/506 Real anomalous scattering factor 1100 1451 34 =================================================================1100 1451 35 Warning 1100 1451 36 =================================================================1100 1451 37 MF/MT combinations used to define photoionization subshell cross1100 1451 38 sections (MF=23, MT=534-572) and coherent anomalous scattering 1100 1451 39 factors (MF=27, MT=505 AND 506) are newly defined MF/MT numbers 1100 1451 40 for ENDF/B-VI that did not exist in earlier versions of ENDF/B. 1100 1451 41 If you are not prepared to use this data you need merely delete 1100 1451 42 it and all of the remaining data will still be consistent and 1100 1451 43 equivalent to the types of data in earlier versions of ENDF/B. 1100 1451 44 However, this will limit the range of problems to which this 1100 1451 45 data can be applied (see: ref. 1 for details). 1100 1451 46 =================================================================1100 1451 47 Definition of new types of data 1100 1451 48 =================================================================1100 1451 49 1) The total photoionization cross section is equal to the sum 1100 1451 50 of the photoionization subshell cross sections. 1100 1451 51 1100 1451 52 For each subshell on the second line of a section the C1 and 1100 1451 53 C2 fields are defined as, 1100 1451 54 1100 1451 55 EPE = The photoionization edge energy (similar to Q-value) 1100 1451 56 EFL = The fluorescence yield (eV/photoionization) 1100 1451 57 1100 1451 58 2) The angular distribution of coherently scattered photons is, 1100 1451 59 1100 1451 60 S(E,MU) = 3*T/8*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 1100 1451 61 1100 1451 62 S(E,MU) = Angular distributions (barns per unit cosine) 1100 1451 63 T = The Thomson cross section 1100 1451 64 MU = The cosine of the scattering angle 1100 1451 65 FF(M) = The atomic form factor 1100 1451 66 M = Momentum transfer = SIN(THETA/2)/LAMBDA/4*PI 1100 1451 67 F1(E) = The real anomalous scattering factor 1100 1451 68 F2(E) = The imaginary anomalous scattering factor 1100 1451 69 1100 1451 70 F1(E) and F2(E) are isotropic. 1100 1451 71 1100 1451 72 When F1(E) = F2(E) = 0 this reduces to the result obtained 1100 1451 73 using only form factors (the older ENDF/B convention). 1100 1451 74 =================================================================1100 1451 75 Differences between EPDL97 and the data base presented here 1100 1451 76 =================================================================1100 1451 77 1) Energy range - EPDL97 - 1 eV to 100 GeV 1100 1451 78 Here - 1 eV TO 100 GeV (previously 100 MeV) 1100 1451 79 2) Type of Data - EPDL97 - Photon interaction including 1100 1451 80 photoexcitation 1100 1451 81 Here - Photon interaction - ENDF/B-VI has 1100 1451 82 no provision for photoexcitation 1100 1451 83 3) Secondary E - EPDL97 - Average energy of each secondary 1100 1451 84 (photons, electrons, positrons) 1100 1451 85 HERE - No secondary energy data 1100 1451 86 4) Interpolation- EPDL97 - Cross sections are Log X vs. Log Y 1100 1451 87 interpolable - the total cross 1100 1451 88 section is not included 1100 1451 89 - Form factors and scattering functions 1100 1451 90 are Log X vs. Log y, except first 1100 1451 91 interval. 1100 1451 92 - Anomalous scattering factors linearly 1100 1451 93 interpolable (they can be negative) 1100 1451 94 Here - Up through ENDF/B-V photon interaction1100 1451 95 cross sections were Log X vs. Log Y. 1100 1451 96 - For the first two Mods. of ENDF/B-VI 1100 1451 97 in order to consistently define the 1100 1451 98 total cross sections at ALL energies 1100 1451 99 all cross sections were linearized. 1100 1451 100 This was NOT a good idea. 1100 1451 101 - Starting with Mod. 3, cross sections 1100 1451 102 are left in Log X vs. Log. Y form so 1100 1451 103 that they are IDENTICAL to what's in 1100 1451 104 EPDL97. 1100 1451 105 The total is defined ONLY at the 1100 1451 106 energies tabulated in any other cross 1100 1451 107 section. 1100 1451 108 WARNING - As a result the total cross section 1100 1451 109 MUST NOT be interpolated to define the1100 1451 110 total between tabulated energies. The 1100 1451 111 ONLY consist way to define the total 1100 1451 112 between tabulated energies is to 1100 1451 113 interpolate all of the partials and 1100 1451 114 add them up. 1100 1451 115 =================================================================1100 1451 116 References 1100 1451 117 =================================================================1100 1451 118 1) D.E. Cullen, M.H. Chen, J.H. Hubbell, S.T. Perkins, 1100 1451 119 E.F. Plechaty, J.A. Rathkopf and J.H. Scofield, Tables and 1100 1451 120 graphs of photon interaction cross sections from 10 eV to 100 1100 1451 121 GeV derived from the LLNL Evaluated Photon data library (EPDL), 1100 1451 122 UCRL-50400, Vol. 6, Rev. 4, Part A: Z = 1 to 50 and Part B: 1100 1451 123 Z = 51 to 100, Lawrence Livermore National Laboratory (1989) 1100 1451 124 1100 1451 125 2) D.E. Cullen, J.H. Hubbell and L.D. Kissel, EPDL97: the 1100 1451 126 Evaluated Photon Data Library, '97 Version, UCRL-50400, Vol. 6, 1100 1451 127 Rev. 5, Lawrence Livermore National Laboratory (1997) 1100 1451 128 1100 1451 129 These are the primary references to the contents of this library1100 1451 130 and they contain a complete list of references to the sources 1100 1451 131 of data used in this library, methods of evaluation, accuracy 1100 1451 132 of the data, etc. 1100 1451 133 =================================================================1100 1451 134 History 1100 1451 135 =================================================================1100 1451 136 Mod. 1 - October, 1989 - Initial release. 1100 1451 137 Mod. 2 - August, 1990 - Updated photoionization total and 1100 1451 138 subshell cross sections. 1100 1451 139 Mod. 3 - July, 1997 - Complete re-evaluation. 1100 1451 140 =================================================================1100 1451 141 1 451 158 31100 1451 142 23 501 466 31100 1451 143 23 502 201 31100 1451 144 23 504 40 31100 1451 145 23 515 31 31100 1451 146 23 516 47 31100 1451 147 23 517 36 31100 1451 148 23 522 200 31100 1451 149 23 534 31 31100 1451 150 23 535 39 31100 1451 151 23 536 45 31100 1451 152 23 537 45 31100 1451 153 23 538 89 31100 1451 154 27 502 60 31100 1451 155 27 504 61 31100 1451 156 27 505 120 31100 1451 157 27 506 74 31100 1451 158 1100 1 0 159 1100 0 0 160 1.100000+4 2.279230+1 0 0 0 0110023501 161 0.0 0.0 0 0 1 1388110023501 162 1388 5 110023501 163 1.000000+0 5.450311-2 1.061565+0 7.467202-2 1.092401+0 8.721494-2110023501 164 1.122274+0 1.012672-1 1.151213+0 1.169516-1 1.179248+0 1.343980-1110023501 165 1.206407+0 1.537432-1 1.232717+0 1.751324-1 1.258205+0 1.987182-1110023501 166 1.258900+0 1.994123-1 1.282897+0 2.246626-1 1.306817+0 2.531357-1110023501 167 1.329989+0 2.843177-1 1.352437+0 3.183982-1 1.374184+0 3.555774-1110023501 168 1.395251+0 3.960660-1 1.415660+0 4.400864-1 1.435431+0 4.878720-1110023501 169 1.454584+0 5.396692-1 1.473139+0 5.957367-1 1.491114+0 6.563466-1110023501 170 1.508527+0 7.217848-1 1.525396+0 7.923517-1 1.541738+0 8.683625-1110023501 171 1.557569+0 9.501476-1 1.572905+0 1.038054+0 1.584900+0 1.113688+0110023501 172 1.587762+0 1.132445+0 1.602155+0 1.233700+0 1.616098+0 1.342219+0110023501 173 1.629605+0 1.458417+0 1.642691+0 1.582730+0 1.655367+0 1.715612+0110023501 174 1.679544+0 2.009005+0 1.702233+0 2.342701+0 1.713048+0 2.526266+0110023501 175 1.723526+0 2.722120+0 1.733676+0 2.930873+0 1.753035+0 3.387624+0110023501 176 1.771491+0 3.909077+0 1.788794+0 4.495278+0 1.805015+0 5.153056+0110023501 177 1.820222+0 5.889332+0 1.834479+0 6.711437+0 1.847845+0 7.627152+0110023501 178 1.860376+0 8.644703+0 1.872123+0 9.772765+0 1.883136+0 1.102045+1110023501 179 1.893461+0 1.239729+1 1.903140+0 1.391324+1 1.912215+0 1.557866+1110023501 180 1.920722+0 1.740427+1 1.928698+0 1.940119+1 1.936175+0 2.158089+1110023501 181 1.943185+0 2.395519+1 1.949757+0 2.653630+1 1.955918+0 2.933684+1110023501 182 1.961694+0 3.236994+1 1.967109+0 3.564936+1 1.972185+0 3.918975+1110023501 183 1.976944+0 4.300697+1 1.981406+0 4.711857+1 1.985589+0 5.154446+1110023501 184 1.989511+0 5.630757+1 1.993187+0 6.143447+1 1.995300+0 6.476340+1110023501 185 1.996634+0 6.695540+1 1.999865+0 7.290374+1 2.002894+0 7.931450+1110023501 186 2.005734+0 8.622214+1 2.008396+0 9.365777+1 2.010892+0 1.016463+2110023501 187 2.015572+0 1.199867+2 2.019668+0 1.407372+2 2.023251+0 1.636653+2110023501 188 2.026386+0 1.883499+2 2.029129+0 2.142479+2 2.031530+0 2.407700+2110023501 189 2.035468+0 2.934704+2 2.040946+0 3.896955+2 2.048333+0 5.718272+2110023501 190 2.052098+0 6.914327+2 2.058416+0 9.352841+2 2.060809+0 1.041315+3110023501 191 2.063458+0 1.166543+3 2.066518+0 1.320063+3 2.068500+0 1.423549+3110023501 192 2.071536+0 1.586123+3 2.072640+0 1.645925+3 2.075952+0 1.825059+3110023501 193 2.077492+0 1.907103+3 2.080111+0 2.042807+3 2.082116+0 2.141896+3110023501 194 2.084368+0 2.246430+3 2.086853+0 2.351455+3 2.088667+0 2.419970+3110023501 195 2.091818+0 2.520084+3 2.094013+0 2.573985+3 2.096377+0 2.616200+3110023501 196 2.097488+0 2.630119+3 2.100105+0 2.647466+3 2.101701+0 2.647301+3110023501 197 2.106395+0 2.600160+3 2.108653+0 2.553744+3 2.111483+0 2.475629+3110023501 198 2.114000+0 2.389411+3 2.116334+0 2.297260+3 2.118121+0 2.219929+3110023501 199 2.120675+0 2.101070+3 2.123343+0 1.968943+3 2.125811+0 1.841981+3110023501 200 2.127714+0 1.742370+3 2.129000+0 1.674781+3 2.131475+0 1.545215+3110023501 201 2.134042+0 1.413175+3 2.137163+0 1.258239+3 2.139084+0 1.167019+3110023501 202 2.141571+0 1.054468+3 2.149167+0 7.558339+2 2.153538+0 6.168769+2110023501 203 2.165626+0 3.477336+2 2.169314+0 2.935194+2 2.172992+0 2.494456+2110023501 204 2.176656+0 2.138139+2 2.180305+0 1.850537+2 2.183940+0 1.618087+2110023501 205 2.187560+0 1.429416+2 2.191167+0 1.275226+2 2.194759+0 1.148076+2110023501 206 2.198338+0 1.042118+2 2.201902+0 9.528139+1 2.205453+0 8.766812+1110023501 207 2.208989+0 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