JENDL-4.0 Er-000 0 0 0 0 6.800000+4 1.658230+2 -1 0 6 16800 1451 1 0.000000+0 0.000000+0 0 0 0 66800 1451 2 0.000000+0 1.000000+8 0 0 3 46800 1451 3 0.000000+0 0.000000+0 0 0 154 326800 1451 4 68-Er- 0 LLNL EVAL-Jul97 D.E.Cullen, et al. 6800 1451 5 UCRL50400,Vol.6,Rev.5 DIST-MAY10 20100228 6800 1451 6 ----JENDL-4.0 MATERIAL 6800 6800 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 6800 1451 8 ------ENDF-6 FORMAT 6800 1451 9 =================================================================6800 1451 10 The data were taken from EPDL97. 6800 1451 11 =================================================================6800 1451 12 The Livermore Evaluated Photon Data Library (EPDL97) in the 6800 1451 13 ENDF/B-VI format 6800 1451 14 =================================================================6800 1451 15 Contents 6800 1451 16 =================================================================6800 1451 17 MF/MT Description 6800 1451 18 =================================================================6800 1451 19 23/501 Total cross sections 6800 1451 20 23/502 Coherent scattering cross sections 6800 1451 21 23/504 Incoherent scattering cross sections 6800 1451 22 23/515 Pair production cross sections, Electron field 6800 1451 23 23/516 Pair production cross sections, Total 6800 1451 24 23/517 Pair production cross sections, Nuclear field 6800 1451 25 23/522 Total photoionization cross section 6800 1451 26 23/534 K (1S1/2) Photoionization subshell cross section 6800 1451 27 23/535 L1 (2S1/2) Photoionization subshell cross section 6800 1451 28 23/536 L2 (2P1/2) Photoionization subshell cross section 6800 1451 29 23/537 L3 (2P3/2) Photoionization subshell cross section 6800 1451 30 23/538 M1 (3S1/2) Photoionization subshell cross section 6800 1451 31 23/539 M2 (3P1/2) Photoionization subshell cross section 6800 1451 32 23/540 M3 (3P3/2) Photoionization subshell cross section 6800 1451 33 23/541 M4 (3D3/2) Photoionization subshell cross section 6800 1451 34 23/542 M5 (3D5/2) Photoionization subshell cross section 6800 1451 35 23/543 N1 (4S1/2) Photoionization subshell cross section 6800 1451 36 23/544 N2 (4P1/2) Photoionization subshell cross section 6800 1451 37 23/545 N3 (4P3/2) Photoionization subshell cross section 6800 1451 38 23/546 N4 (4D3/2) Photoionization subshell cross section 6800 1451 39 23/547 N5 (4D5/2) Photoionization subshell cross section 6800 1451 40 23/548 N6 (4F5/2) Photoionization subshell cross section 6800 1451 41 23/549 N7 (4F7/2) Photoionization subshell cross section 6800 1451 42 23/550 O1 (5S1/2) Photoionization subshell cross section 6800 1451 43 23/551 O2 (5P1/2) Photoionization subshell cross section 6800 1451 44 23/552 O3 (5P3/2) Photoionization subshell cross section 6800 1451 45 23/559 P1 (6S1/2) Photoionization subshell cross section 6800 1451 46 =================================================================6800 1451 47 27/502 Coherent scattering form factors 6800 1451 48 27/504 Incoherent scattering functions 6800 1451 49 27/505 Imaginary anomalous scattering factor 6800 1451 50 27/506 Real anomalous scattering factor 6800 1451 51 =================================================================6800 1451 52 Warning 6800 1451 53 =================================================================6800 1451 54 MF/MT combinations used to define photoionization subshell cross6800 1451 55 sections (MF=23, MT=534-572) and coherent anomalous scattering 6800 1451 56 factors (MF=27, MT=505 AND 506) are newly defined MF/MT numbers 6800 1451 57 for ENDF/B-VI that did not exist in earlier versions of ENDF/B. 6800 1451 58 If you are not prepared to use this data you need merely delete 6800 1451 59 it and all of the remaining data will still be consistent and 6800 1451 60 equivalent to the types of data in earlier versions of ENDF/B. 6800 1451 61 However, this will limit the range of problems to which this 6800 1451 62 data can be applied (see: ref. 1 for details). 6800 1451 63 =================================================================6800 1451 64 Definition of new types of data 6800 1451 65 =================================================================6800 1451 66 1) The total photoionization cross section is equal to the sum 6800 1451 67 of the photoionization subshell cross sections. 6800 1451 68 6800 1451 69 For each subshell on the second line of a section the C1 and 6800 1451 70 C2 fields are defined as, 6800 1451 71 6800 1451 72 EPE = The photoionization edge energy (similar to Q-value) 6800 1451 73 EFL = The fluorescence yield (eV/photoionization) 6800 1451 74 6800 1451 75 2) The angular distribution of coherently scattered photons is, 6800 1451 76 6800 1451 77 S(E,MU) = 3*T/8*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 6800 1451 78 6800 1451 79 S(E,MU) = Angular distributions (barns per unit cosine) 6800 1451 80 T = The Thomson cross section 6800 1451 81 MU = The cosine of the scattering angle 6800 1451 82 FF(M) = The atomic form factor 6800 1451 83 M = Momentum transfer = SIN(THETA/2)/LAMBDA/4*PI 6800 1451 84 F1(E) = The real anomalous scattering factor 6800 1451 85 F2(E) = The imaginary anomalous scattering factor 6800 1451 86 6800 1451 87 F1(E) and F2(E) are isotropic. 6800 1451 88 6800 1451 89 When F1(E) = F2(E) = 0 this reduces to the result obtained 6800 1451 90 using only form factors (the older ENDF/B convention). 6800 1451 91 =================================================================6800 1451 92 Differences between EPDL97 and the data base presented here 6800 1451 93 =================================================================6800 1451 94 1) Energy range - EPDL97 - 1 eV to 100 GeV 6800 1451 95 Here - 1 eV TO 100 GeV (previously 100 MeV) 6800 1451 96 2) Type of Data - EPDL97 - Photon interaction including 6800 1451 97 photoexcitation 6800 1451 98 Here - Photon interaction - ENDF/B-VI has 6800 1451 99 no provision for photoexcitation 6800 1451 100 3) Secondary E - EPDL97 - Average energy of each secondary 6800 1451 101 (photons, electrons, positrons) 6800 1451 102 HERE - No secondary energy data 6800 1451 103 4) Interpolation- EPDL97 - Cross sections are Log X vs. Log Y 6800 1451 104 interpolable - the total cross 6800 1451 105 section is not included 6800 1451 106 - Form factors and scattering functions 6800 1451 107 are Log X vs. Log y, except first 6800 1451 108 interval. 6800 1451 109 - Anomalous scattering factors linearly 6800 1451 110 interpolable (they can be negative) 6800 1451 111 Here - Up through ENDF/B-V photon interaction6800 1451 112 cross sections were Log X vs. Log Y. 6800 1451 113 - For the first two Mods. of ENDF/B-VI 6800 1451 114 in order to consistently define the 6800 1451 115 total cross sections at ALL energies 6800 1451 116 all cross sections were linearized. 6800 1451 117 This was NOT a good idea. 6800 1451 118 - Starting with Mod. 3, cross sections 6800 1451 119 are left in Log X vs. Log. Y form so 6800 1451 120 that they are IDENTICAL to what's in 6800 1451 121 EPDL97. 6800 1451 122 The total is defined ONLY at the 6800 1451 123 energies tabulated in any other cross 6800 1451 124 section. 6800 1451 125 WARNING - As a result the total cross section 6800 1451 126 MUST NOT be interpolated to define the6800 1451 127 total between tabulated energies. The 6800 1451 128 ONLY consist way to define the total 6800 1451 129 between tabulated energies is to 6800 1451 130 interpolate all of the partials and 6800 1451 131 add them up. 6800 1451 132 =================================================================6800 1451 133 References 6800 1451 134 =================================================================6800 1451 135 1) D.E. Cullen, M.H. Chen, J.H. Hubbell, S.T. Perkins, 6800 1451 136 E.F. Plechaty, J.A. Rathkopf and J.H. Scofield, Tables and 6800 1451 137 graphs of photon interaction cross sections from 10 eV to 100 6800 1451 138 GeV derived from the LLNL Evaluated Photon data library (EPDL), 6800 1451 139 UCRL-50400, Vol. 6, Rev. 4, Part A: Z = 1 to 50 and Part B: 6800 1451 140 Z = 51 to 100, Lawrence Livermore National Laboratory (1989) 6800 1451 141 6800 1451 142 2) D.E. Cullen, J.H. Hubbell and L.D. Kissel, EPDL97: the 6800 1451 143 Evaluated Photon Data Library, '97 Version, UCRL-50400, Vol. 6, 6800 1451 144 Rev. 5, Lawrence Livermore National Laboratory (1997) 6800 1451 145 6800 1451 146 These are the primary references to the contents of this library6800 1451 147 and they contain a complete list of references to the sources 6800 1451 148 of data used in this library, methods of evaluation, accuracy 6800 1451 149 of the data, etc. 6800 1451 150 =================================================================6800 1451 151 History 6800 1451 152 =================================================================6800 1451 153 Mod. 1 - October, 1989 - Initial release. 6800 1451 154 Mod. 2 - August, 1990 - Updated photoionization total and 6800 1451 155 subshell cross sections. 6800 1451 156 Mod. 3 - July, 1997 - Complete re-evaluation. 6800 1451 157 =================================================================6800 1451 158 1 451 190 16800 1451 159 23 501 878 16800 1451 160 23 502 420 16800 1451 161 23 504 40 16800 1451 162 23 515 33 16800 1451 163 23 516 53 16800 1451 164 23 517 40 16800 1451 165 23 522 388 16800 1451 166 23 534 20 16800 1451 167 23 535 23 16800 1451 168 23 536 23 16800 1451 169 23 537 23 16800 1451 170 23 538 26 16800 1451 171 23 539 28 16800 1451 172 23 540 29 16800 1451 173 23 541 33 16800 1451 174 23 542 30 16800 1451 175 23 543 29 16800 1451 176 23 544 34 16800 1451 177 23 545 34 16800 1451 178 23 546 55 16800 1451 179 23 547 56 16800 1451 180 23 548 57 16800 1451 181 23 549 57 16800 1451 182 23 550 38 16800 1451 183 23 551 43 16800 1451 184 23 552 45 16800 1451 185 23 559 44 16800 1451 186 27 502 51 16800 1451 187 27 504 52 16800 1451 188 27 505 183 16800 1451 189 27 506 128 16800 1451 190 0.000000+0 0.000000+0 0 0 0 06800 1 099999 0.000000+0 0.000000+0 0 0 0 06800 0 0 0 6.800000+4 1.658230+2 0 0 0 0680023501 1 0.000000+0 0.000000+0 0 0 1 2623680023501 2 2623 5 680023501 3 1.000000+0 1.101686-1 1.080511+0 1.588642-1 1.139633+0 2.058982-1680023501 4 1.201138+0 2.672346-1 1.232954+0 3.054973-1 1.258900+0 3.405715-1680023501 5 1.289117+0 3.854501-1 1.341824+0 4.777387-1 1.391289+0 5.832237-1680023501 6 1.414868+0 6.416553-1 1.460553+0 7.708791-1 1.503382+0 9.145931-1680023501 7 1.543535+0 1.073700+0 1.581178+0 1.248466+0 1.584900+0 1.267501+0680023501 8 1.616468+0 1.439037+0 1.649553+0 1.645437+0 1.680570+0 1.867561+0680023501 9 1.709648+0 2.105180+0 1.736909+0 2.357933+0 1.762466+0 2.625337+0680023501 10 1.786426+0 2.906785+0 1.808888+0 3.201557+0 1.829947+0 3.508827+0680023501 11 1.849689+0 3.827726+0 1.868197+0 4.157977+0 1.885549+0 4.499953+0680023501 12 1.918083+0 5.230018+0 1.946551+0 5.981058+0 1.971460+0 6.746058+0680023501 13 1.993255+0 7.514596+0 1.995300+0 7.593271+0 2.012326+0 8.277698+0680023501 14 2.029013+0 9.027676+0 2.048000+0 9.986411+0 2.069167+0 1.120390+1680023501 15 2.088331+0 1.247233+1 2.102704+0 1.355027+1 2.124264+0 1.540334+1680023501 16 2.151105+0 1.818575+1 2.166950+0 2.014912+1 2.182795+0 2.241496+1680023501 17 2.198640+0 2.504439+1 2.214485+0 2.811768+1 2.230330+0 3.174318+1680023501 18 2.246175+0 3.606592+1 2.261599+0 4.112783+1 2.271107+0 4.477346+1680023501 19 2.280021+0 4.863647+1 2.288378+0 5.272361+1 2.296212+0 5.704196+1680023501 20 2.303557+0 6.159857+1 2.310443+0 6.640031+1 2.316898+0 7.145358+1680023501 21 2.322950+0 7.676454+1 2.328624+0 8.233963+1 2.333943+0 8.818646+1680023501 22 2.343604+0 1.007374+2 2.352370+0 1.150340+2 2.360040+0 1.308451+2680023501 23 2.366751+0 1.483594+2 2.372623+0 1.676878+2 2.377762+0 1.887872+2680023501 24 2.382257+0 2.114312+2 2.386191+0 2.352352+2 2.389634+0 2.597179+2680023501 25 2.392646+0 2.843699+2 2.395281+0 3.087114+2 2.399605+0 3.549041+2680023501 26 2.405784+0 4.361118+2 2.415101+0 5.961510+2 2.421363+0 7.291279+2680023501 27 2.425611+0 8.292669+2 2.431552+0 9.784352+2 2.432295+0 9.975019+2680023501 28 2.437493+0 1.130809+3 2.439536+0 1.182077+3 2.443435+0 1.275798+3680023501 29 2.446066+0 1.334507+3 2.449205+0 1.398022+3 2.452360+0 1.452977+3680023501 30 2.455419+0 1.496183+3 2.457973+0 1.523688+3 2.460950+0 1.544981+3680023501 31 2.464414+0 1.554266+3 2.467199+0 1.549222+3 2.468419+0 1.543473+3680023501 32 2.471370+0 1.520752+3 2.474102+0 1.488902+3 2.476401+0 1.454467+3680023501 33 2.479242+0 1.402972+3 2.481759+0 1.349926+3 2.484869+0 1.276043+3680023501 34 2.487071+0 1.219094+3 2.489470+0 1.153544+3 2.491492+0 1.096113+3680023501 35 2.493339+0 1.042406+3 2.495567+0 9.766350+2 2.497273+0 9.259572+2680023501 36 2.499711+0 8.536945+2 2.502552+0 7.707256+2 2.503588+0 7.410019+2680023501 37 2.506187+0 6.682389+2 2.508787+0 5.985948+2 2.511900+0 5.195640+2680023501 38 2.512639+0 5.024029+2 2.514728+0 4.542368+2 2.520910+0 3.298920+2680023501 39 2.523783+0 2.817782+2 2.531560+0 1.822504+2 2.533926+0 1.605056+2680023501 40 2.535787+0 1.460489+2 2.537217+0 1.364633+2 2.538843+0 1.271337+2680023501 41 2.540366+0 1.198689+2 2.541689+0 1.146867+2 2.542986+0 1.106082+2680023501 42 2.543834+0 1.084636+2 2.544669+0 1.067528+2 2.570975+0 2.618745+2680023501 43 2.579658+0 4.318572+2 2.583789+0 5.447353+2 2.588242+0 6.946629+2680023501 44 2.592197+0 8.556062+2 2.595136+0 9.938820+2 2.598430+0 1.169043+3680023501 45 2.601708+0 1.365559+3 2.603674+0 1.494387+3 2.606871+0 1.721403+3680023501 46 2.610067+0 1.969982+3 2.616859+0 2.564989+3 2.618358+0 2.707097+3680023501 47 2.622291+0 3.095062+3 2.625312+0 3.404423+3 2.629246+0 3.815058+3680023501 48 2.632492+0 4.154498+3 2.635638+0 4.477860+3 2.638885+0 4.799441+3680023501 49 2.642031+0 5.093315+3 2.644828+0 5.334972+3 2.647919+0 5.575574+3680023501 50 2.648824+0 5.640102+3 2.652570+0 5.874970+3 2.655495+0 6.019076+3680023501 51 2.658902+0 6.139586+3 2.661672+0 6.198043+3 2.667803+0 6.198146+3680023501 52 2.669551+0 6.165827+3 2.674395+0 6.005016+3 2.677439+0 5.854220+3680023501 53 2.680389+0 5.675420+3 2.683635+0 5.446178+3 2.686782+0 5.196743+3680023501 54 2.689578+0 4.956989+3 2.692275+0 4.713554+3 2.696371+0 4.328794+3680023501 55 2.699567+0 4.022414+3 2.703163+0 3.678282+3 2.705960+0 3.414980+3680023501 56 2.712353+0 2.841776+3 2.714551+0 2.657168+3 2.718746+0 2.326112+3680023501 57 2.724340+0 1.932420+3 2.730719+0 1.552717+3 2.741762+0 1.060165+3680023501 58 2.747219+0 8.833018+2 2.749932+0 8.090457+2 2.752634+0 7.430423+2680023501 59 2.758017+0 6.322435+2 2.763357+0 5.450016+2 2.768656+0 4.760657+2680023501 60 2.773914+0 4.211718+2 2.779130+0 3.769682+2 2.784306+0 3.408876+2680023501 61 2.789442+0 3.110012+2 2.794537+0 2.858784+2 2.799592+0 2.644646+2680023501 62 2.804608+0 2.459818+2 2.809585+0 2.298522+2 2.819460+0 2.029263+2680023501 63 2.829182+0 1.814197+2 2.838751+0 1.638408+2 2.848171+0 1.492145+2680023501 64 2.857444+0 1.368703+2 2.866572+0 1.263292+2 2.875557+0 1.172372+2680023501 65 2.884402+0 1.093265+2 2.893109+0 1.023893+2 2.901679+0 9.626219+1680023501 66 2.918553+0 8.586842+1 2.934899+0 7.748130+1 2.950734+0 7.058884+1680023501 67 2.966075+0 6.484197+1 2.980936+0 5.999145+1 2.995332+0 5.585400+1680023501 68 3.009279+0 5.229137+1 3.022790+0 4.919587+1 3.048967+0 4.400993+1680023501 69 3.073509+0 3.992358+1 3.096516+0 3.663719+1 3.118086+0 3.395125+1680023501 70 3.138307+0 3.172571+1 3.157265+0 2.985783+1 3.162300+0 2.940411+1680023501 71 3.192810+0 2.681240+1 3.223913+0 2.454274+1 3.251127+0 2.281226+1680023501 72 3.298753+0 2.022181+1 3.334472+0 1.857205+1 3.388050+0 1.646734+1680023501 73 3.467042+0 1.393358+1 3.611051+0 1.050085+1 3.712486+0 8.562601+0680023501 74 3.788563+0 7.197191+0 3.817091+0 6.684090+0 3.842054+0 6.224601+0680023501 75 3.863896+0 5.808741+0 3.883008+0 5.429420+0 3.899731+0 5.081532+0680023501 76 3.914364+0 4.761314+0 3.927167+0 4.465988+0 3.938370+0 4.193553+0680023501 77 3.948173+0 3.942655+0 3.956750+0 3.712448+0 3.971761+0 3.284309+0680023501 78 3.981100+0 2.999386+0 3.983018+0 2.944080+0 3.991462+0 2.682400+0680023501 79 3.997794+0 2.486226+0 4.006106+0 2.235872+0 4.016792+0 1.944941+0680023501 80 4.019263+0 1.886018+0 4.026679+0 1.737565+0 4.031622+0 1.669072+0680023501 81 4.034094+0 1.646287+0 4.036565+0 1.632288+0 4.043981+0 1.652434+0680023501 82 4.046452+0 1.683241+0 4.047688+0 1.703765+0 4.052014+0 1.804914+0680023501 83 4.054176+0 1.873993+0 4.056339+0 1.956487+0 4.057575+0 2.009967+0680023501 84 4.061900+0 2.236039+0 4.065145+0 2.448332+0 4.066226+0 2.527808+0680023501 85 4.070385+0 2.876729+0 4.075043+0 3.354465+0 4.084147+0 4.583378+0680023501 86 4.092340+0 6.058545+0 4.097764+0 7.241750+0 4.105433+0 9.203720+0680023501 87 4.110239+0 1.060413+1 4.115447+0 1.226368+1 4.120219+0 1.390478+1680023501 88 4.124813+0 1.558161+1 4.129455+0 1.735806+1 4.134276+0 1.927067+1680023501 89 4.138605+0 2.102861+1 4.143307+0 2.295708+1 4.146995+0 2.446753+1680023501 90 4.152128+0 2.653787+1 4.155791+0 2.797396+1 4.160165+0 2.962201+1680023501 91 4.165165+0 3.138775+1 4.166338+0 3.178015+1 4.172493+0 3.368238+1680023501 92 4.176399+0 3.473550+1 4.184868+0 3.654622+1 4.188266+0 3.707645+1680023501 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