JENDL-4.0 Nb-000 0 0 0 0 4.100000+4 9.210830+1 -1 0 6 14100 1451 1 0.000000+0 0.000000+0 0 0 0 64100 1451 2 0.000000+0 1.000000+8 0 0 3 44100 1451 3 0.000000+0 0.000000+0 0 0 149 274100 1451 4 41-Nb- 0 LLNL EVAL-Jul97 D.E.Cullen, et al. 4100 1451 5 UCRL50400,Vol.6,Rev.5 DIST-MAY10 20100228 4100 1451 6 ----JENDL-4.0 MATERIAL 4100 4100 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 4100 1451 8 ------ENDF-6 FORMAT 4100 1451 9 =================================================================4100 1451 10 The data were taken from EPDL97. 4100 1451 11 =================================================================4100 1451 12 The Livermore Evaluated Photon Data Library (EPDL97) in the 4100 1451 13 ENDF/B-VI format 4100 1451 14 =================================================================4100 1451 15 Contents 4100 1451 16 =================================================================4100 1451 17 MF/MT Description 4100 1451 18 =================================================================4100 1451 19 23/501 Total cross sections 4100 1451 20 23/502 Coherent scattering cross sections 4100 1451 21 23/504 Incoherent scattering cross sections 4100 1451 22 23/515 Pair production cross sections, Electron field 4100 1451 23 23/516 Pair production cross sections, Total 4100 1451 24 23/517 Pair production cross sections, Nuclear field 4100 1451 25 23/522 Total photoionization cross section 4100 1451 26 23/534 K (1S1/2) Photoionization subshell cross section 4100 1451 27 23/535 L1 (2S1/2) Photoionization subshell cross section 4100 1451 28 23/536 L2 (2P1/2) Photoionization subshell cross section 4100 1451 29 23/537 L3 (2P3/2) Photoionization subshell cross section 4100 1451 30 23/538 M1 (3S1/2) Photoionization subshell cross section 4100 1451 31 23/539 M2 (3P1/2) Photoionization subshell cross section 4100 1451 32 23/540 M3 (3P3/2) Photoionization subshell cross section 4100 1451 33 23/541 M4 (3D3/2) Photoionization subshell cross section 4100 1451 34 23/542 M5 (3D5/2) Photoionization subshell cross section 4100 1451 35 23/543 N1 (4S1/2) Photoionization subshell cross section 4100 1451 36 23/544 N2 (4P1/2) Photoionization subshell cross section 4100 1451 37 23/545 N3 (4P3/2) Photoionization subshell cross section 4100 1451 38 23/546 N4 (4D3/2) Photoionization subshell cross section 4100 1451 39 23/547 N5 (4D5/2) Photoionization subshell cross section 4100 1451 40 23/550 O1 (5S1/2) Photoionization subshell cross section 4100 1451 41 =================================================================4100 1451 42 27/502 Coherent scattering form factors 4100 1451 43 27/504 Incoherent scattering functions 4100 1451 44 27/505 Imaginary anomalous scattering factor 4100 1451 45 27/506 Real anomalous scattering factor 4100 1451 46 =================================================================4100 1451 47 Warning 4100 1451 48 =================================================================4100 1451 49 MF/MT combinations used to define photoionization subshell cross4100 1451 50 sections (MF=23, MT=534-572) and coherent anomalous scattering 4100 1451 51 factors (MF=27, MT=505 AND 506) are newly defined MF/MT numbers 4100 1451 52 for ENDF/B-VI that did not exist in earlier versions of ENDF/B. 4100 1451 53 If you are not prepared to use this data you need merely delete 4100 1451 54 it and all of the remaining data will still be consistent and 4100 1451 55 equivalent to the types of data in earlier versions of ENDF/B. 4100 1451 56 However, this will limit the range of problems to which this 4100 1451 57 data can be applied (see: ref. 1 for details). 4100 1451 58 =================================================================4100 1451 59 Definition of new types of data 4100 1451 60 =================================================================4100 1451 61 1) The total photoionization cross section is equal to the sum 4100 1451 62 of the photoionization subshell cross sections. 4100 1451 63 4100 1451 64 For each subshell on the second line of a section the C1 and 4100 1451 65 C2 fields are defined as, 4100 1451 66 4100 1451 67 EPE = The photoionization edge energy (similar to Q-value) 4100 1451 68 EFL = The fluorescence yield (eV/photoionization) 4100 1451 69 4100 1451 70 2) The angular distribution of coherently scattered photons is, 4100 1451 71 4100 1451 72 S(E,MU) = 3*T/8*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 4100 1451 73 4100 1451 74 S(E,MU) = Angular distributions (barns per unit cosine) 4100 1451 75 T = The Thomson cross section 4100 1451 76 MU = The cosine of the scattering angle 4100 1451 77 FF(M) = The atomic form factor 4100 1451 78 M = Momentum transfer = SIN(THETA/2)/LAMBDA/4*PI 4100 1451 79 F1(E) = The real anomalous scattering factor 4100 1451 80 F2(E) = The imaginary anomalous scattering factor 4100 1451 81 4100 1451 82 F1(E) and F2(E) are isotropic. 4100 1451 83 4100 1451 84 When F1(E) = F2(E) = 0 this reduces to the result obtained 4100 1451 85 using only form factors (the older ENDF/B convention). 4100 1451 86 =================================================================4100 1451 87 Differences between EPDL97 and the data base presented here 4100 1451 88 =================================================================4100 1451 89 1) Energy range - EPDL97 - 1 eV to 100 GeV 4100 1451 90 Here - 1 eV TO 100 GeV (previously 100 MeV) 4100 1451 91 2) Type of Data - EPDL97 - Photon interaction including 4100 1451 92 photoexcitation 4100 1451 93 Here - Photon interaction - ENDF/B-VI has 4100 1451 94 no provision for photoexcitation 4100 1451 95 3) Secondary E - EPDL97 - Average energy of each secondary 4100 1451 96 (photons, electrons, positrons) 4100 1451 97 HERE - No secondary energy data 4100 1451 98 4) Interpolation- EPDL97 - Cross sections are Log X vs. Log Y 4100 1451 99 interpolable - the total cross 4100 1451 100 section is not included 4100 1451 101 - Form factors and scattering functions 4100 1451 102 are Log X vs. Log y, except first 4100 1451 103 interval. 4100 1451 104 - Anomalous scattering factors linearly 4100 1451 105 interpolable (they can be negative) 4100 1451 106 Here - Up through ENDF/B-V photon interaction4100 1451 107 cross sections were Log X vs. Log Y. 4100 1451 108 - For the first two Mods. of ENDF/B-VI 4100 1451 109 in order to consistently define the 4100 1451 110 total cross sections at ALL energies 4100 1451 111 all cross sections were linearized. 4100 1451 112 This was NOT a good idea. 4100 1451 113 - Starting with Mod. 3, cross sections 4100 1451 114 are left in Log X vs. Log. Y form so 4100 1451 115 that they are IDENTICAL to what's in 4100 1451 116 EPDL97. 4100 1451 117 The total is defined ONLY at the 4100 1451 118 energies tabulated in any other cross 4100 1451 119 section. 4100 1451 120 WARNING - As a result the total cross section 4100 1451 121 MUST NOT be interpolated to define the4100 1451 122 total between tabulated energies. The 4100 1451 123 ONLY consist way to define the total 4100 1451 124 between tabulated energies is to 4100 1451 125 interpolate all of the partials and 4100 1451 126 add them up. 4100 1451 127 =================================================================4100 1451 128 References 4100 1451 129 =================================================================4100 1451 130 1) D.E. Cullen, M.H. Chen, J.H. Hubbell, S.T. Perkins, 4100 1451 131 E.F. Plechaty, J.A. Rathkopf and J.H. Scofield, Tables and 4100 1451 132 graphs of photon interaction cross sections from 10 eV to 100 4100 1451 133 GeV derived from the LLNL Evaluated Photon data library (EPDL), 4100 1451 134 UCRL-50400, Vol. 6, Rev. 4, Part A: Z = 1 to 50 and Part B: 4100 1451 135 Z = 51 to 100, Lawrence Livermore National Laboratory (1989) 4100 1451 136 4100 1451 137 2) D.E. Cullen, J.H. Hubbell and L.D. Kissel, EPDL97: the 4100 1451 138 Evaluated Photon Data Library, '97 Version, UCRL-50400, Vol. 6, 4100 1451 139 Rev. 5, Lawrence Livermore National Laboratory (1997) 4100 1451 140 4100 1451 141 These are the primary references to the contents of this library4100 1451 142 and they contain a complete list of references to the sources 4100 1451 143 of data used in this library, methods of evaluation, accuracy 4100 1451 144 of the data, etc. 4100 1451 145 =================================================================4100 1451 146 History 4100 1451 147 =================================================================4100 1451 148 Mod. 1 - October, 1989 - Initial release. 4100 1451 149 Mod. 2 - August, 1990 - Updated photoionization total and 4100 1451 150 subshell cross sections. 4100 1451 151 Mod. 3 - July, 1997 - Complete re-evaluation. 4100 1451 152 =================================================================4100 1451 153 1 451 180 14100 1451 154 23 501 769 14100 1451 155 23 502 305 14100 1451 156 23 504 40 14100 1451 157 23 515 33 14100 1451 158 23 516 51 14100 1451 159 23 517 39 14100 1451 160 23 522 399 14100 1451 161 23 534 22 14100 1451 162 23 535 25 14100 1451 163 23 536 26 14100 1451 164 23 537 27 14100 1451 165 23 538 28 14100 1451 166 23 539 37 14100 1451 167 23 540 36 14100 1451 168 23 541 54 14100 1451 169 23 542 54 14100 1451 170 23 543 36 14100 1451 171 23 544 46 14100 1451 172 23 545 46 14100 1451 173 23 546 70 14100 1451 174 23 547 70 14100 1451 175 23 550 61 14100 1451 176 27 502 55 14100 1451 177 27 504 56 14100 1451 178 27 505 137 14100 1451 179 27 506 122 14100 1451 180 0.000000+0 0.000000+0 0 0 0 04100 1 099999 0.000000+0 0.000000+0 0 0 0 04100 0 0 0 4.100000+4 9.210830+1 0 0 0 0410023501 1 0.000000+0 0.000000+0 0 0 1 2296410023501 2 2296 5 410023501 3 1.000000+0 2.691848-2 1.119209+0 4.590290-2 1.154185+0 5.334803-2410023501 4 1.190253+0 6.217763-2 1.227448+0 7.268538-2 1.258900+0 8.285712-2410023501 5 1.265806+0 8.523723-2 1.305363+0 1.002867-1 1.344729+0 1.177236-1410023501 6 1.382865+0 1.373395-1 1.419809+0 1.593145-1 1.455599+0 1.838328-1410023501 7 1.490271+0 2.110872-1 1.556397+0 2.741573-1 1.584900+0 3.065845-1410023501 8 1.587918+0 3.101985-1 1.618455+0 3.497373-1 1.648037+0 3.930486-1410023501 9 1.676695+0 4.403811-1 1.704457+0 4.919938-1 1.731351+0 5.481559-1410023501 10 1.757405+0 6.091479-1 1.782645+0 6.752607-1 1.807097+0 7.467969-1410023501 11 1.830784+0 8.240705-1 1.853731+0 9.074074-1 1.875960+0 9.971594-1410023501 12 1.920000+0 1.205637+0 1.958146+0 1.425331+0 1.995300+0 1.684863+0410023501 13 1.995487+0 1.686269+0 2.030531+0 1.983537+0 2.048000+0 2.155212+0410023501 14 2.063418+0 2.322336+0 2.094772+0 2.711240+0 2.124167+0 3.147290+0410023501 15 2.151724+0 3.636383+0 2.177559+0 4.183056+0 2.201779+0 4.791874+0410023501 16 2.224486+0 5.467525+0 2.245773+0 6.214798+0 2.265730+0 7.038550+0410023501 17 2.284440+0 7.943678+0 2.301980+0 8.935081+0 2.318424+0 1.001763+1410023501 18 2.333840+0 1.119615+1 2.348293+0 1.247550+1 2.361842+0 1.386050+1410023501 19 2.374545+0 1.535540+1 2.386454+0 1.696336+1 2.400000+0 1.908606+1410023501 20 2.408085+0 2.053081+1 2.417897+0 2.249776+1 2.427096+0 2.459163+1410023501 21 2.435720+0 2.681528+1 2.443806+0 2.917105+1 2.451386+0 3.166099+1410023501 22 2.458492+0 3.428680+1 2.465154+0 3.704976+1 2.471399+0 3.995072+1410023501 23 2.477255+0 4.299021+1 2.482744+0 4.616880+1 2.487890+0 4.948747+1410023501 24 2.497539+0 5.680668+1 2.505982+0 6.475792+1 2.511900+0 7.156947+1410023501 25 2.513370+0 7.336703+1 2.519834+0 8.263539+1 2.525490+0 9.251369+1410023501 26 2.530440+0 1.028909+2 2.534770+0 1.136030+2 2.538559+0 1.244545+2410023501 27 2.541875+0 1.352443+2 2.544776+0 1.457871+2 2.549853+0 1.669789+2410023501 28 2.558658+0 2.129850+2 2.567254+0 2.698989+2 2.571397+0 3.012988+2410023501 29 2.576133+0 3.397517+2 2.577711+0 3.530458+2 2.584025+0 4.075629+2410023501 30 2.585603+0 4.212993+2 2.591127+0 4.685941+2 2.592509+0 4.800492+2410023501 31 2.596652+0 5.129911+2 2.600197+0 5.390178+2 2.601889+0 5.506072+2410023501 32 2.604427+0 5.668911+2 2.606965+0 5.818033+2 2.610740+0 6.014494+2410023501 33 2.615593+0 6.226977+2 2.622301+0 6.472778+2 2.629651+0 6.752402+2410023501 34 2.633727+0 6.954934+2 2.636963+0 7.159667+2 2.641378+0 7.523951+2410023501 35 2.644568+0 7.861536+2 2.649061+0 8.459363+2 2.651841+0 8.906223+2410023501 36 2.655564+0 9.599079+2 2.658203+0 1.015389+3 2.666762+0 1.226676+3410023501 37 2.672060+0 1.373604+3 2.676307+0 1.493753+3 2.679922+0 1.593690+3410023501 38 2.683422+0 1.685192+3 2.685437+0 1.734364+3 2.689137+0 1.815908+3410023501 39 2.691522+0 1.861328+3 2.695154+0 1.917874+3 2.698229+0 1.952529+3410023501 40 2.701930+0 1.976833+3 2.704549+0 1.982077+3 2.710021+0 1.960771+3410023501 41 2.712607+0 1.935919+3 2.716094+0 1.888331+3 2.719086+0 1.835637+3410023501 42 2.721422+0 1.787675+3 2.724759+0 1.710039+3 2.728246+0 1.619418+3410023501 43 2.732289+0 1.505145+3 2.735528+0 1.408827+3 2.738767+0 1.310203+3410023501 44 2.742006+0 1.210946+3 2.745650+0 1.100410+3 2.749524+0 9.862307+2410023501 45 2.752641+0 8.980460+2 2.755901+0 8.103105+2 2.760300+0 7.002212+2410023501 46 2.764288+0 6.095060+2 2.769248+0 5.092772+2 2.771615+0 4.664128+2410023501 47 2.787141+0 2.591731+2 2.791401+0 2.220195+2 2.796513+0 1.865782+2410023501 48 2.798217+0 1.767518+2 2.800773+0 1.636979+2 2.803329+0 1.525167+2410023501 49 2.805033+0 1.460218+2 2.807589+0 1.376004+2 2.810145+0 1.306275+2410023501 50 2.811849+0 1.267101+2 2.814405+0 1.218247+2 2.816962+0 1.180053+2410023501 51 2.818666+0 1.159857+2 2.821222+0 1.136514+2 2.823778+0 1.120427+2410023501 52 2.827186+0 1.108252+2 2.830594+0 1.104310+2 2.836664+0 1.110372+2410023501 53 2.848060+0 1.133528+2 2.852746+0 1.137544+2 2.857965+0 1.134245+2410023501 54 2.861320+0 1.127194+2 2.864675+0 1.116189+2 2.869787+0 1.092163+2410023501 55 2.871491+0 1.082369+2 2.876603+0 1.048420+2 2.878307+0 1.035804+2410023501 56 2.885123+0 9.807411+1 2.891939+0 9.216579+1 2.907595+0 7.895667+1410023501 57 2.919811+0 7.006160+1 2.961695+0 4.745517+1 2.980667+0 3.982595+1410023501 58 2.990610+0 3.648202+1 3.000398+0 3.361801+1 3.010033+0 3.117225+1410023501 59 3.019518+0 2.907506+1 3.028854+0 2.726082+1 3.047236+0 2.425076+1410023501 60 3.065042+0 2.186135+1 3.082293+0 1.990952+1 3.099004+0 1.828432+1410023501 61 3.115193+0 1.691186+1 3.130876+0 1.573937+1 3.146069+0 1.472701+1410023501 62 3.162300+0 1.377067+1 3.175505+0 1.304193+1 3.203102+0 1.172224+1410023501 63 3.228974+0 1.066615+1 3.253228+0 9.806253+0 3.275967+0 9.095848+0410023501 64 3.297285+0 8.501166+0 3.337256+0 7.533023+0 3.372230+0 6.811148+0410023501 65 3.402833+0 6.260831+0 3.456387+0 5.436630+0 3.496553+0 4.911929+0410023501 66 3.679371+0 3.172667+0 3.750595+0 2.677913+0 3.803441+0 2.351278+0410023501 67 3.840027+0 2.140253+0 3.877648+0 1.932729+0 3.905865+0 1.781779+0410023501 68 3.934081+0 1.633788+0 3.962297+0 1.487825+0 3.981100+0 1.391188+0410023501 69 3.981108+0 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