4-Be Evaluated Photon Data Library (EPDL97) by Red Cullen 6000 0 0 0 4.000000+3 8.934770+0 -1 0 0 3 400 1451 1 0.0 0.0 0 0 0 6 400 1451 2 0.0 0.0 0 0 3 6 400 1451 3 0.0 0.0 0 0 134 14 400 1451 4 4-BE LLNL Eval-Jul97 D.E.Cullen, et al. 400 1451 5 UCRL50400,Vol.6,Rev.5 Dist-Jul97 Rev0-Oct89 400 1451 6 ---- ENDF/B-VI MATERIAL 400 400 1451 7 ----- PHOTO-ATOMIC INTERACTION DATA 400 1451 8 ------ ENDF/B-6 400 1451 9 ================================================================= 400 1451 10 The Livermore Evaluated Photon Data Library (EPDL97) in the 400 1451 11 ENDF/B-VI format 400 1451 12 ================================================================= 400 1451 13 Contents 400 1451 14 ================================================================= 400 1451 15 MF/MT Description 400 1451 16 ================================================================= 400 1451 17 23/501 Total cross sections 400 1451 18 23/502 Coherent scattering cross sections 400 1451 19 23/504 Incoherent scattering cross sections 400 1451 20 23/515 Pair production cross sections, Electron field 400 1451 21 23/516 Pair production cross sections, Total 400 1451 22 23/517 Pair production cross sections, Nuclear field 400 1451 23 23/522 Total photoionization cross section 400 1451 24 23/534 K (1S1/2) Photoionization subshell cross section 400 1451 25 23/535 L1 (2S1/2) Photoionization subshell cross section 400 1451 26 ================================================================= 400 1451 27 27/502 Coherent scattering form factors 400 1451 28 27/504 Incoherent scattering functions 400 1451 29 27/505 Imaginary anomalous scattering factor 400 1451 30 27/506 Real anomalous scattering factor 400 1451 31 ================================================================= 400 1451 32 Warning 400 1451 33 ================================================================= 400 1451 34 MF/MT combinations used to define photoionization subshell cross 400 1451 35 sections (MF=23, MT=534-572) and coherent anomalous scattering 400 1451 36 factors (MF=27, MT=505 AND 506) are newly defined MF/MT numbers 400 1451 37 for ENDF/B-VI that did not exist in earlier versions of ENDF/B. 400 1451 38 If you are not prepared to use this data you need merely delete 400 1451 39 it and all of the remaining data will still be consistent and 400 1451 40 equivalent to the types of data in earlier versions of ENDF/B. 400 1451 41 However, this will limit the range of problems to which this 400 1451 42 data can be applied (see: ref. 1 for details). 400 1451 43 ================================================================= 400 1451 44 Definition of new types of data 400 1451 45 ================================================================= 400 1451 46 1) The total photoionization cross section is equal to the sum 400 1451 47 of the photoionization subshell cross sections. 400 1451 48 400 1451 49 For each subshell on the second line of a section the C1 and 400 1451 50 C2 fields are defined as, 400 1451 51 400 1451 52 EPE = The photoionization edge energy (similar to Q-value) 400 1451 53 EFL = The fluorescence yield (eV/photoionization) 400 1451 54 400 1451 55 2) The angular distribution of coherently scattered photons is, 400 1451 56 400 1451 57 S(E,MU) = 3*T/8*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 400 1451 58 400 1451 59 S(E,MU) = Angular distributions (barns per unit cosine) 400 1451 60 T = The Thomson cross section 400 1451 61 MU = The cosine of the scattering angle 400 1451 62 FF(M) = The atomic form factor 400 1451 63 M = Momentum transfer = SIN(THETA/2)/LAMBDA/4*PI 400 1451 64 F1(E) = The real anomalous scattering factor 400 1451 65 F2(E) = The imaginary anomalous scattering factor 400 1451 66 400 1451 67 F1(E) and F2(E) are isotropic. 400 1451 68 400 1451 69 When F1(E) = F2(E) = 0 this reduces to the result obtained 400 1451 70 using only form factors (the older ENDF/B convention). 400 1451 71 ================================================================= 400 1451 72 Differences between EPDL97 and the data base presented here 400 1451 73 ================================================================= 400 1451 74 1) Energy range - EPDL97 - 1 eV to 100 GeV 400 1451 75 Here - 1 eV TO 100 GeV (previously 100 MeV) 400 1451 76 2) Type of Data - EPDL97 - Photon interaction including 400 1451 77 photoexcitation 400 1451 78 Here - Photon interaction - ENDF/B-VI has 400 1451 79 no provision for photoexcitation 400 1451 80 3) Secondary E - EPDL97 - Average energy of each secondary 400 1451 81 (photons, electrons, positrons) 400 1451 82 HERE - No secondary energy data 400 1451 83 4) Interpolation- EPDL97 - Cross sections are Log X vs. Log Y 400 1451 84 interpolable - the total cross 400 1451 85 section is not included 400 1451 86 - Form factors and scattering functions 400 1451 87 are Log X vs. Log y, except first 400 1451 88 interval. 400 1451 89 - Anomalous scattering factors linearly 400 1451 90 interpolable (they can be negative) 400 1451 91 Here - Up through ENDF/B-V photon interaction 400 1451 92 cross sections were Log X vs. Log Y. 400 1451 93 - For the first two Mods. of ENDF/B-VI 400 1451 94 in order to consistently define the 400 1451 95 total cross sections at ALL energies 400 1451 96 all cross sections were linearized. 400 1451 97 This was NOT a good idea. 400 1451 98 - Starting with Mod. 3, cross sections 400 1451 99 are left in Log X vs. Log. Y form so 400 1451 100 that they are IDENTICAL to what's in 400 1451 101 EPDL97. 400 1451 102 The total is defined ONLY at the 400 1451 103 energies tabulated in any other cross 400 1451 104 section. 400 1451 105 WARNING - As a result the total cross section 400 1451 106 MUST NOT be interpolated to define the 400 1451 107 total between tabulated energies. The 400 1451 108 ONLY consist way to define the total 400 1451 109 between tabulated energies is to 400 1451 110 interpolate all of the partials and 400 1451 111 add them up. 400 1451 112 ================================================================= 400 1451 113 References 400 1451 114 ================================================================= 400 1451 115 1) D.E. Cullen, M.H. Chen, J.H. Hubbell, S.T. Perkins, 400 1451 116 E.F. Plechaty, J.A. Rathkopf and J.H. Scofield, Tables and 400 1451 117 graphs of photon interaction cross sections from 10 eV to 100 400 1451 118 GeV derived from the LLNL Evaluated Photon data library (EPDL), 400 1451 119 UCRL-50400, Vol. 6, Rev. 4, Part A: Z = 1 to 50 and Part B: 400 1451 120 Z = 51 to 100, Lawrence Livermore National Laboratory (1989) 400 1451 121 400 1451 122 2) D.E. Cullen, J.H. Hubbell and L.D. Kissel, EPDL97: the 400 1451 123 Evaluated Photon Data Library, '97 Version, UCRL-50400, Vol. 6, 400 1451 124 Rev. 5, Lawrence Livermore National Laboratory (1997) 400 1451 125 400 1451 126 These are the primary references to the contents of this library 400 1451 127 and they contain a complete list of references to the sources 400 1451 128 of data used in this library, methods of evaluation, accuracy 400 1451 129 of the data, etc. 400 1451 130 ================================================================= 400 1451 131 History 400 1451 132 ================================================================= 400 1451 133 Mod. 1 - October, 1989 - Initial release. 400 1451 134 Mod. 2 - August, 1990 - Updated photoionization total and 400 1451 135 subshell cross sections. 400 1451 136 Mod. 3 - July, 1997 - Complete re-evaluation. 400 1451 137 ================================================================= 400 1451 138 1 451 152 3 400 1451 139 23 501 293 3 400 1451 140 23 502 163 3 400 1451 141 23 504 40 3 400 1451 142 23 515 30 3 400 1451 143 23 516 44 3 400 1451 144 23 517 34 3 400 1451 145 23 522 61 3 400 1451 146 23 534 31 3 400 1451 147 23 535 41 3 400 1451 148 27 502 48 3 400 1451 149 27 504 49 3 400 1451 150 27 505 90 3 400 1451 151 27 506 90 3 400 1451 152 400 1 0 153 400 0 0 154 4.000000+3 8.934770+0 0 0 0 0 40023501 155 0.0 0.0 0 0 1 868 40023501 156 868 5 40023501 157 1.000000+0 8.557777-3 1.150897+0 1.583505-2 1.223952+0 2.087690-2 40023501 158 1.258900+0 2.374522-2 1.301644+0 2.766212-2 1.384268+0 3.686318-2 40023501 159 1.472137+0 4.945168-2 1.518141+0 5.743865-2 1.565583+0 6.685606-2 40023501 160 1.584900+0 7.109086-2 1.614508+0 7.799596-2 1.664961+0 9.122000-2 40023501 161 1.716991+0 1.069790-1 1.770647+0 1.258335-1 1.824366+0 1.477780-1 40023501 162 1.876406+0 1.724471-1 1.926820+0 2.000736-1 1.975658+0 2.308984-1 40023501 163 1.995300+0 2.446486-1 2.022970+0 2.651647-1 2.068804+0 3.030840-1 40023501 164 2.113205+0 3.449261-1 2.156219+0 3.910457-1 2.197888+0 4.417727-1 40023501 165 2.238256+0 4.974422-1 2.277362+0 5.584079-1 2.315246+0 6.250428-1 40023501 166 2.351946+0 6.977403-1 2.387499+0 7.769155-1 2.421941+0 8.630054-1 40023501 167 2.455307+0 9.564703-1 2.487630+0 1.057795+0 2.511900+0 1.141988+0 40023501 168 2.518943+0 1.167489+0 2.549278+0 1.286090+0 2.578664+0 1.414161+0 40023501 169 2.607132+0 1.552294+0 2.634711+0 1.701111+0 2.661428+0 1.861265+0 40023501 170 2.687309+0 2.033440+0 2.712383+0 2.218355+0 2.736672+0 2.416762+0 40023501 171 2.760202+0 2.629448+0 2.782998+0 2.857236+0 2.805080+0 3.100988+0 40023501 172 2.826473+0 3.361605+0 2.867274+0 3.937236+0 2.905564+0 4.592154+0 40023501 173 2.941499+0 5.335301+0 2.958629+0 5.743495+0 2.991299+0 6.641270+0 40023501 174 3.022446+0 7.669942+0 3.051646+0 8.824357+0 3.079021+0 1.011940+1 40023501 175 3.104685+0 1.156965+1 3.128745+0 1.318994+1 3.151301+0 1.499599+1 40023501 176 3.162300+0 1.601075+1 3.172448+0 1.700436+1 3.192273+0 1.923256+1 40023501 177 3.210859+0 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2.470705+3 40023501 190 3.524871+0 2.917540+3 3.527825+0 3.098057+3 3.534241+0 3.491628+3 40023501 191 3.538487+0 3.747356+3 3.540971+0 3.893050+3 3.545047+0 4.122772+3 40023501 192 3.549442+0 4.353237+3 3.553344+0 4.538777+3 3.557656+0 4.718573+3 40023501 193 3.558953+0 4.766871+3 3.563391+0 4.909799+3 3.567653+0 5.012132+3 40023501 194 3.570119+0 5.054713+3 3.574611+0 5.099669+3 3.577093+0 5.106133+3 40023501 195 3.585410+0 5.032709+3 3.589192+0 4.952538+3 3.594140+0 4.806993+3 40023501 196 3.597569+0 4.681403+3 3.602194+0 4.483912+3 3.606792+0 4.260466+3 40023501 197 3.610812+0 4.047466+3 3.614170+0 3.859932+3 3.618487+0 3.609835+3 40023501 198 3.623228+0 3.328700+3 3.627969+0 3.046443+3 3.632801+0 2.762980+3 40023501 199 3.636560+0 2.548525+3 3.645151+0 2.088352+3 3.648105+0 1.942020+3 40023501 200 3.653743+0 1.681865+3 3.660472+0 1.406145+3 3.667762+0 1.150606+3 40023501 201 3.685748+0 6.957111+2 3.692894+0 5.729069+2 3.696456+0 5.215130+2 40023501 202 3.700012+0 4.759290+2 3.703561+0 4.355470+2 3.710644+0 3.680947+2 40023501 203 3.717700+0 3.151993+2 3.724728+0 2.735172+2 3.731728+0 2.403811+2 40023501 204 3.738702+0 2.137226+2 3.745648+0 1.919736+2 3.752566+0 1.739651+2 40023501 205 3.759458+0 1.588347+2 3.766323+0 1.459488+2 3.773161+0 1.348406+2 40023501 206 3.779973+0 1.251631+2 3.786758+0 1.166552+2 3.800274+0 1.023674+2 40023501 207 3.813685+0 9.087684+1 3.826992+0 8.145220+1 3.840194+0 7.360004+1 40023501 208 3.853293+0 6.697335+1 3.866290+0 6.131989+1 3.879185+0 5.645134+1 40023501 209 3.891980+0 5.222414+1 3.904675+0 4.852694+1 3.917270+0 4.527199+1 40023501 210 3.929767+0 4.238894+1 3.942166+0 3.982064+1 3.966771+0 3.543376+1 40023501 211 3.981100+0 3.326517+1 3.990992+0 3.185025+1 4.014834+0 2.887804+1 40023501 212 4.038304+0 2.638262+1 4.061407+0 2.426481+1 4.084149+0 2.244971+1 40023501 213 4.106535+0 2.088045+1 4.128572+0 1.951368+1 4.150264+0 1.831561+1 40023501 214 4.171618+0 1.725846+1 4.213658+0 1.546414+1 4.254384+0 1.401363+1 40023501 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6.477767+0 2.333222+0 40023501 228 6.553710+0 2.211780+0 6.617761+0 2.130208+0 6.825929+0 1.920618+0 40023501 229 6.925386+0 1.809295+0 6.975114+0 1.737453+0 7.042192+0 1.625804+0 40023501 230 7.059483+0 1.601811+0 7.076774+0 1.584320+0 7.094065+0 1.576005+0 40023501 231 7.111355+0 1.579115+0 7.120001+0 1.585414+0 7.128646+0 1.594959+0 40023501 232 7.141788+0 1.615530+0 7.163228+0 1.662905+0 7.215101+0 1.808668+0 40023501 233 7.232392+0 1.850302+0 7.250020+0 1.881701+0 7.260596+0 1.894005+0 40023501 234 7.272430+0 1.901489+0 7.284265+0 1.902284+0 7.301555+0 1.891998+0 40023501 235 7.318846+0 1.869744+0 7.336137+0 1.838008+0 7.370719+0 1.757436+0 40023501 236 7.425079+0 1.628194+0 7.443265+0 1.594052+0 7.461452+0 1.567549+0 40023501 237 7.479638+0 1.549783+0 7.493394+0 1.542413+0 7.507150+0 1.540116+0 40023501 238 7.520673+0 1.542349+0 7.534197+0 1.548307+0 7.588756+0 1.588603+0 40023501 239 7.606943+0 1.599240+0 7.625129+0 1.605080+0 7.643315+0 1.605450+0 40023501 240 7.661502+0 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1.747920+6 40023501 253 1.923538+1 1.684699+6 1.995300+1 1.627378+6 2.000000+1 1.623764+6 40023501 254 2.120838+1 1.528508+6 2.162719+1 1.498014+6 2.278125+1 1.413717+6 40023501 255 2.371374+1 1.351924+6 2.510088+1 1.263351+6 2.511900+1 1.262265+6 40023501 256 2.600160+1 1.211362+6 2.810283+1 1.097877+6 2.884032+1 1.062462+6 40023501 257 3.076982+1 9.741511+5 3.162300+1 9.390955+5 3.198895+1 9.247279+5 40023501 258 3.412911+1 8.440434+5 3.548134+1 7.990523+5 3.785515+1 7.258626+5 40023501 259 3.935501+1 6.852071+5 3.981100+1 6.730416+5 4.168694+1 6.265361+5 40023501 260 4.315191+1 5.937733+5 4.570882+1 5.406555+5 4.731513+1 5.110937+5 40023501 261 5.011900+1 4.633559+5 5.020176+1 4.620556+5 5.188000+1 4.368877+5 40023501 262 5.499771+1 3.936625+5 5.688529+1 3.706474+5 5.913646+1 3.447496+5 40023501 263 6.237348+1 3.121109+5 6.309600+1 3.051869+5 6.329563+1 3.033148+5 40023501 264 6.722023+1 2.697754+5 6.839116+1 2.608514+5 6.998666+1 2.489476+5 40023501 265 7.448249+1 2.194535+5 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