JENDL-4.0 Na-000 0 0 0 0 1.100000+4 2.279230+1 -1 0 6 11100 1451 1 0.000000+0 0.000000+0 0 0 0 61100 1451 2 0.000000+0 1.000000+8 0 0 3 41100 1451 3 0.000000+0 0.000000+0 0 0 139 171100 1451 4 11-Na- 0 LLNL EVAL-Jul97 D.E.Cullen, et al. 1100 1451 5 UCRL50400,Vol.6,Rev.5 DIST-MAY10 20100228 1100 1451 6 ----JENDL-4.0 MATERIAL 1100 1100 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 1100 1451 8 ------ENDF-6 FORMAT 1100 1451 9 =================================================================1100 1451 10 The data were taken from EPDL97. 1100 1451 11 =================================================================1100 1451 12 The Livermore Evaluated Photon Data Library (EPDL97) in the 1100 1451 13 ENDF/B-VI format 1100 1451 14 =================================================================1100 1451 15 Contents 1100 1451 16 =================================================================1100 1451 17 MF/MT Description 1100 1451 18 =================================================================1100 1451 19 23/501 Total cross sections 1100 1451 20 23/502 Coherent scattering cross sections 1100 1451 21 23/504 Incoherent scattering cross sections 1100 1451 22 23/515 Pair production cross sections, Electron field 1100 1451 23 23/516 Pair production cross sections, Total 1100 1451 24 23/517 Pair production cross sections, Nuclear field 1100 1451 25 23/522 Total photoionization cross section 1100 1451 26 23/534 K (1S1/2) Photoionization subshell cross section 1100 1451 27 23/535 L1 (2S1/2) Photoionization subshell cross section 1100 1451 28 23/536 L2 (2P1/2) Photoionization subshell cross section 1100 1451 29 23/537 L3 (2P3/2) Photoionization subshell cross section 1100 1451 30 23/538 M1 (3S1/2) Photoionization subshell cross section 1100 1451 31 =================================================================1100 1451 32 27/502 Coherent scattering form factors 1100 1451 33 27/504 Incoherent scattering functions 1100 1451 34 27/505 Imaginary anomalous scattering factor 1100 1451 35 27/506 Real anomalous scattering factor 1100 1451 36 =================================================================1100 1451 37 Warning 1100 1451 38 =================================================================1100 1451 39 MF/MT combinations used to define photoionization subshell cross1100 1451 40 sections (MF=23, MT=534-572) and coherent anomalous scattering 1100 1451 41 factors (MF=27, MT=505 AND 506) are newly defined MF/MT numbers 1100 1451 42 for ENDF/B-VI that did not exist in earlier versions of ENDF/B. 1100 1451 43 If you are not prepared to use this data you need merely delete 1100 1451 44 it and all of the remaining data will still be consistent and 1100 1451 45 equivalent to the types of data in earlier versions of ENDF/B. 1100 1451 46 However, this will limit the range of problems to which this 1100 1451 47 data can be applied (see: ref. 1 for details). 1100 1451 48 =================================================================1100 1451 49 Definition of new types of data 1100 1451 50 =================================================================1100 1451 51 1) The total photoionization cross section is equal to the sum 1100 1451 52 of the photoionization subshell cross sections. 1100 1451 53 1100 1451 54 For each subshell on the second line of a section the C1 and 1100 1451 55 C2 fields are defined as, 1100 1451 56 1100 1451 57 EPE = The photoionization edge energy (similar to Q-value) 1100 1451 58 EFL = The fluorescence yield (eV/photoionization) 1100 1451 59 1100 1451 60 2) The angular distribution of coherently scattered photons is, 1100 1451 61 1100 1451 62 S(E,MU) = 3*T/8*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 1100 1451 63 1100 1451 64 S(E,MU) = Angular distributions (barns per unit cosine) 1100 1451 65 T = The Thomson cross section 1100 1451 66 MU = The cosine of the scattering angle 1100 1451 67 FF(M) = The atomic form factor 1100 1451 68 M = Momentum transfer = SIN(THETA/2)/LAMBDA/4*PI 1100 1451 69 F1(E) = The real anomalous scattering factor 1100 1451 70 F2(E) = The imaginary anomalous scattering factor 1100 1451 71 1100 1451 72 F1(E) and F2(E) are isotropic. 1100 1451 73 1100 1451 74 When F1(E) = F2(E) = 0 this reduces to the result obtained 1100 1451 75 using only form factors (the older ENDF/B convention). 1100 1451 76 =================================================================1100 1451 77 Differences between EPDL97 and the data base presented here 1100 1451 78 =================================================================1100 1451 79 1) Energy range - EPDL97 - 1 eV to 100 GeV 1100 1451 80 Here - 1 eV TO 100 GeV (previously 100 MeV) 1100 1451 81 2) Type of Data - EPDL97 - Photon interaction including 1100 1451 82 photoexcitation 1100 1451 83 Here - Photon interaction - ENDF/B-VI has 1100 1451 84 no provision for photoexcitation 1100 1451 85 3) Secondary E - EPDL97 - Average energy of each secondary 1100 1451 86 (photons, electrons, positrons) 1100 1451 87 HERE - No secondary energy data 1100 1451 88 4) Interpolation- EPDL97 - Cross sections are Log X vs. Log Y 1100 1451 89 interpolable - the total cross 1100 1451 90 section is not included 1100 1451 91 - Form factors and scattering functions 1100 1451 92 are Log X vs. Log y, except first 1100 1451 93 interval. 1100 1451 94 - Anomalous scattering factors linearly 1100 1451 95 interpolable (they can be negative) 1100 1451 96 Here - Up through ENDF/B-V photon interaction1100 1451 97 cross sections were Log X vs. Log Y. 1100 1451 98 - For the first two Mods. of ENDF/B-VI 1100 1451 99 in order to consistently define the 1100 1451 100 total cross sections at ALL energies 1100 1451 101 all cross sections were linearized. 1100 1451 102 This was NOT a good idea. 1100 1451 103 - Starting with Mod. 3, cross sections 1100 1451 104 are left in Log X vs. Log. Y form so 1100 1451 105 that they are IDENTICAL to what's in 1100 1451 106 EPDL97. 1100 1451 107 The total is defined ONLY at the 1100 1451 108 energies tabulated in any other cross 1100 1451 109 section. 1100 1451 110 WARNING - As a result the total cross section 1100 1451 111 MUST NOT be interpolated to define the1100 1451 112 total between tabulated energies. The 1100 1451 113 ONLY consist way to define the total 1100 1451 114 between tabulated energies is to 1100 1451 115 interpolate all of the partials and 1100 1451 116 add them up. 1100 1451 117 =================================================================1100 1451 118 References 1100 1451 119 =================================================================1100 1451 120 1) D.E. Cullen, M.H. Chen, J.H. Hubbell, S.T. Perkins, 1100 1451 121 E.F. Plechaty, J.A. Rathkopf and J.H. Scofield, Tables and 1100 1451 122 graphs of photon interaction cross sections from 10 eV to 100 1100 1451 123 GeV derived from the LLNL Evaluated Photon data library (EPDL), 1100 1451 124 UCRL-50400, Vol. 6, Rev. 4, Part A: Z = 1 to 50 and Part B: 1100 1451 125 Z = 51 to 100, Lawrence Livermore National Laboratory (1989) 1100 1451 126 1100 1451 127 2) D.E. Cullen, J.H. Hubbell and L.D. Kissel, EPDL97: the 1100 1451 128 Evaluated Photon Data Library, '97 Version, UCRL-50400, Vol. 6, 1100 1451 129 Rev. 5, Lawrence Livermore National Laboratory (1997) 1100 1451 130 1100 1451 131 These are the primary references to the contents of this library1100 1451 132 and they contain a complete list of references to the sources 1100 1451 133 of data used in this library, methods of evaluation, accuracy 1100 1451 134 of the data, etc. 1100 1451 135 =================================================================1100 1451 136 History 1100 1451 137 =================================================================1100 1451 138 Mod. 1 - October, 1989 - Initial release. 1100 1451 139 Mod. 2 - August, 1990 - Updated photoionization total and 1100 1451 140 subshell cross sections. 1100 1451 141 Mod. 3 - July, 1997 - Complete re-evaluation. 1100 1451 142 =================================================================1100 1451 143 1 451 160 11100 1451 144 23 501 466 11100 1451 145 23 502 201 11100 1451 146 23 504 40 11100 1451 147 23 515 31 11100 1451 148 23 516 47 11100 1451 149 23 517 36 11100 1451 150 23 522 200 11100 1451 151 23 534 31 11100 1451 152 23 535 39 11100 1451 153 23 536 45 11100 1451 154 23 537 45 11100 1451 155 23 538 89 11100 1451 156 27 502 60 11100 1451 157 27 504 61 11100 1451 158 27 505 120 11100 1451 159 27 506 74 11100 1451 160 0.000000+0 0.000000+0 0 0 0 01100 1 099999 0.000000+0 0.000000+0 0 0 0 01100 0 0 0 1.100000+4 2.279230+1 0 0 0 0110023501 1 0.000000+0 0.000000+0 0 0 1 1388110023501 2 1388 5 110023501 3 1.000000+0 5.450311-2 1.061565+0 7.467202-2 1.092401+0 8.721494-2110023501 4 1.122274+0 1.012672-1 1.151213+0 1.169516-1 1.179248+0 1.343980-1110023501 5 1.206407+0 1.537432-1 1.232717+0 1.751324-1 1.258205+0 1.987182-1110023501 6 1.258900+0 1.994123-1 1.282897+0 2.246626-1 1.306817+0 2.531357-1110023501 7 1.329989+0 2.843177-1 1.352437+0 3.183982-1 1.374184+0 3.555774-1110023501 8 1.395251+0 3.960660-1 1.415660+0 4.400864-1 1.435431+0 4.878720-1110023501 9 1.454584+0 5.396692-1 1.473139+0 5.957367-1 1.491114+0 6.563466-1110023501 10 1.508527+0 7.217848-1 1.525396+0 7.923517-1 1.541738+0 8.683625-1110023501 11 1.557569+0 9.501476-1 1.572905+0 1.038054+0 1.584900+0 1.113688+0110023501 12 1.587762+0 1.132445+0 1.602155+0 1.233700+0 1.616098+0 1.342219+0110023501 13 1.629605+0 1.458417+0 1.642691+0 1.582730+0 1.655367+0 1.715612+0110023501 14 1.679544+0 2.009005+0 1.702233+0 2.342701+0 1.713048+0 2.526266+0110023501 15 1.723526+0 2.722120+0 1.733676+0 2.930873+0 1.753035+0 3.387624+0110023501 16 1.771491+0 3.909077+0 1.788794+0 4.495278+0 1.805015+0 5.153056+0110023501 17 1.820222+0 5.889332+0 1.834479+0 6.711437+0 1.847845+0 7.627152+0110023501 18 1.860376+0 8.644703+0 1.872123+0 9.772765+0 1.883136+0 1.102045+1110023501 19 1.893461+0 1.239729+1 1.903140+0 1.391324+1 1.912215+0 1.557866+1110023501 20 1.920722+0 1.740427+1 1.928698+0 1.940119+1 1.936175+0 2.158089+1110023501 21 1.943185+0 2.395519+1 1.949757+0 2.653630+1 1.955918+0 2.933684+1110023501 22 1.961694+0 3.236994+1 1.967109+0 3.564936+1 1.972185+0 3.918975+1110023501 23 1.976944+0 4.300697+1 1.981406+0 4.711857+1 1.985589+0 5.154446+1110023501 24 1.989511+0 5.630757+1 1.993187+0 6.143447+1 1.995300+0 6.476340+1110023501 25 1.996634+0 6.695540+1 1.999865+0 7.290374+1 2.002894+0 7.931450+1110023501 26 2.005734+0 8.622214+1 2.008396+0 9.365777+1 2.010892+0 1.016463+2110023501 27 2.015572+0 1.199867+2 2.019668+0 1.407372+2 2.023251+0 1.636653+2110023501 28 2.026386+0 1.883499+2 2.029129+0 2.142479+2 2.031530+0 2.407700+2110023501 29 2.035468+0 2.934704+2 2.040946+0 3.896955+2 2.048333+0 5.718272+2110023501 30 2.052098+0 6.914327+2 2.058416+0 9.352841+2 2.060809+0 1.041315+3110023501 31 2.063458+0 1.166543+3 2.066518+0 1.320063+3 2.068500+0 1.423549+3110023501 32 2.071536+0 1.586123+3 2.072640+0 1.645925+3 2.075952+0 1.825059+3110023501 33 2.077492+0 1.907103+3 2.080111+0 2.042807+3 2.082116+0 2.141896+3110023501 34 2.084368+0 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