4-Be 2025 Evaluated Photon Data Library (EPDL) by D.E. Cullen 2023 0 0 4000.00000 8.93477000 -1 0 0 3 400 1451 0.0 0.0 0 0 0 6 400 1451 0.0 1.0000E+11 0 0 3 6 400 1451 0.0 0.0 1 0 153 14 400 1451 4-Be- 0 NDS,IAEA Eval-Aug23 D.E.Cullen, et al. 400 1451 NDS-IAEA-225 Dist-Jan25 400 1451 ---- ENDF/B-VI MATERIAL 400 400 1451 ----- PHOTO-ATOMIC INTERACTION DATA 400 1451 ------ ENDF/B-6 400 1451 ================================================================= 400 1451 The Livermore Evaluated Photon Data Library (EPDL97) in the 400 1451 ENDF-6 Format. 400 1451 ================================================================= 400 1451 Contents 400 1451 ================================================================= 400 1451 MF/MT Description 400 1451 ================================================================= 400 1451 23/501 Total cross sections 400 1451 23/502 Coherent scattering cross sections 400 1451 23/504 Incoherent scattering cross sections 400 1451 23/515 Pair production cross sections, Electron field 400 1451 23/516 Pair production cross sections, Total 400 1451 23/517 Pair production cross sections, Nuclear field 400 1451 23/522 Total photoionization cross section 400 1451 23/534 K (1S1/2) Photoionization subshell cross section 400 1451 23/535 L1 (2S1/2) Photoionization subshell cross section 400 1451 ================================================================= 400 1451 27/502 Coherent scattering form factors 400 1451 27/504 Incoherent scattering functions 400 1451 27/505 Imaginary anomalous scattering factor 400 1451 27/506 Real anomalous scattering factor 400 1451 ================================================================= 400 1451 Warning 400 1451 ================================================================= 400 1451 MF/MT combinations used to define photoionization subshell cross 400 1451 sections (MF=23, MT=534-572) and coherent anomalous scattering 400 1451 factors (MF=27, MT=505 AND 506) are newly defined MF/MT numbers 400 1451 for ENDF/B-VI that did not exist in earlier versions of ENDF/B. 400 1451 If you are not prepared to use this data you need merely delete 400 1451 it and all of the remaining data will still be consistent and 400 1451 equivalent to the types of data in earlier versions of ENDF/B. 400 1451 However, this will limit the range of problems to which this 400 1451 data can be applied (see: ref. 1 for details). 400 1451 ================================================================= 400 1451 Definition of new types of data 400 1451 ================================================================= 400 1451 1) The total photoionization cross section is equal to the sum 400 1451 of the photoionization subshell cross sections. 400 1451 400 1451 For each subshell on the second line of a section the C1 and 400 1451 C2 fields are defined as, 400 1451 400 1451 EPE = The photoionization edge energy (similar to Q-value) 400 1451 EFL = The fluorescence yield (eV/photoionization) 400 1451 400 1451 2) The angular distribution of coherently scattered photons is, 400 1451 400 1451 S(E,MU) = 3*T/8*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 400 1451 400 1451 S(E,MU) = Angular distributions (barns per unit cosine) 400 1451 T = The Thomson cross section 400 1451 MU = The cosine of the scattering angle 400 1451 FF(M) = The atomic form factor 400 1451 M = Momentum transfer = SIN(THETA/2)/LAMBDA/4*PI 400 1451 F1(E) = The real anomalous scattering factor 400 1451 F2(E) = The imaginary anomalous scattering factor 400 1451 400 1451 F1(E) and F2(E) are isotropic. 400 1451 400 1451 When F1(E) = F2(E) = 0 this reduces to the result obtained 400 1451 using only form factors (the older ENDF/B convention). 400 1451 ================================================================= 400 1451 Differences between EPDL97 and the data base presented here 400 1451 ================================================================= 400 1451 1) Energy range - EPDL97 - 1 eV to 100 GeV 400 1451 Here - 1 eV TO 100 GeV (previously 100 MeV) 400 1451 2) Type of Data - EPDL97 - Photon interaction including 400 1451 photoexcitation 400 1451 Here - Photon interaction - ENDF/B-VI has 400 1451 no provision for photoexcitation 400 1451 3) Secondary E - EPDL97 - Average energy of each secondary 400 1451 (photons, electrons, positrons) 400 1451 HERE - No secondary energy data 400 1451 4) Interpolation- EPDL97 - Cross sections are Log X vs. Log Y 400 1451 interpolable - the total cross 400 1451 section is not included 400 1451 - Form factors and scattering functions 400 1451 are Log X vs. Log y, except first 400 1451 interval. 400 1451 - Anomalous scattering factors linearly 400 1451 interpolable (they can be negative) 400 1451 Here - Up through ENDF/B-V photon interaction 400 1451 cross sections were Log X vs. Log Y. 400 1451 - For the first two Mods. of ENDF/B-VI 400 1451 in order to consistently define the 400 1451 total cross sections at ALL energies 400 1451 all cross sections were linearized. 400 1451 This was NOT a good idea. 400 1451 - Starting with Mod. 3, cross sections 400 1451 are left in Log X vs. Log. Y form so 400 1451 that they are IDENTICAL to what's in 400 1451 EPDL97. 400 1451 The total is defined ONLY at the 400 1451 energies tabulated in any other cross 400 1451 section. 400 1451 WARNING - As a result the total cross section 400 1451 MUST NOT be interpolated to define the 400 1451 total between tabulated energies. The 400 1451 ONLY consist way to define the total 400 1451 between tabulated energies is to 400 1451 interpolate all of the partials and 400 1451 add them up. 400 1451 ================================================================= 400 1451 References 400 1451 ================================================================= 400 1451 1) D.E. Cullen, M.H. Chen, J.H. Hubbell, S.T. Perkins, 400 1451 E.F. Plechaty, J.A. Rathkopf and J.H. Scofield, Tables and 400 1451 graphs of photon interaction cross sections from 10 eV to 100 400 1451 GeV derived from the LLNL Evaluated Photon data library (EPDL), 400 1451 UCRL-50400, Vol. 6, Rev. 4, Part A: Z = 1 to 50 and Part B: 400 1451 Z = 51 to 100, Lawrence Livermore National Laboratory (1989) 400 1451 2) D.E. Cullen, J.H. Hubbell and L.D. Kissel, EPDL97: the 400 1451 Evaluated Photon Data Library, '97 Version, UCRL-50400, Vol. 6, 400 1451 Rev. 5, Lawrence Livermore National Laboratory (1997) 400 1451 3) D.E. Cullen "A Survey of Atomic Binding Energies for use 400 1451 in EPICS2017" ,IAEA-NDS-224, (2017), Nuclear Data Section, 400 1451 IAEA, Vienna, Austria 400 1451 4) D.E. Cullen "A Survey of Photon Cross Section Data for use 400 1451 in EPICS2017" ,IAEA-NDS-225, (2017), Nuclear Data Section, 400 1451 IAEA, Vienna, Austria 400 1451 5) D.E. Cullen,"EPICS2017: April 2019 Status Report", 400 1451 IAEA-NDS-228, April 2019, Nuclear Data Section, 400 1451 IAEA, Vienna, Austria. 400 1451 6) D.E. Cullen,"EPICS2023: August 2023 Status Report", 400 1451 IAEA-NDS-242, August 2023, Nuclear Data Section, 400 1451 IAEA, Vienna, Austria. 400 1451 400 1451 These are the primary references to the contents of this library 400 1451 and they contain a complete list of references to the sources 400 1451 of data used in this library, methods of evaluation, accuracy 400 1451 of the data, etc. 400 1451 ================================================================= 400 1451 History 400 1451 ================================================================= 400 1451 1) Oct. 1989 - Initial Release 400 1451 2) Aug. 1990 - Updated Photoelectic (total+shellS) 400 1451 3) July 1997 - Complete re-evaluation 400 1451 4) Sept.2014 - Updated based on recently published data. 400 1451 - Insured Standard C, C++, FORTRAN format 400 1451 5) Nov. 2017 - New Binding Energies (see, ref. 3) 400 1451 - New Photoelectric and Coherent Cross Sections 400 1451 - New Anomalous Scattering Factors (see, ref. 4) 400 1451 - ALL Cross Sections Lin-Lin Interpolable 400 1451 6) Aug. 2023 - Delete repeated points. Threshold start with XC=0. 400 1451 ================================================================= 400 1451 ***************** Program FIXUP (Version 2023-2) **************** 400 1451 **************** Program DICTIN (VERSION 2023-1) **************** 400 1451 1 451 171 3 400 1451 23 501 883 3 400 1451 23 502 127 3 400 1451 23 504 135 3 400 1451 23 515 75 3 400 1451 23 516 157 3 400 1451 23 517 105 3 400 1451 23 522 508 3 400 1451 23 534 256 3 400 1451 23 535 279 3 400 1451 27 502 433 3 400 1451 27 504 145 3 400 1451 27 505 114 3 400 1451 27 506 114 3 400 1451 400 1 0 400 0 0 4000.00000 8.93477000 0 0 0 0 40023501 0.0 0.0 0 0 1 2638 40023501 2638 2 40023501 1.00000000 3.91024E-6 1.05924839 7.19456E-6 1.10597719 9.78680E-6 40023501 1.14237171 1.18069E-5 1.19922131 1.49645E-5 1.25890000 1.82819E-5 40023501 1.33350268 2.24327E-5 1.39234189 2.57095E-5 1.43816887 2.82635E-5 40023501 1.50975292 3.22563E-5 1.58490000 3.64520E-5 1.67881736 4.17019E-5 40023501 1.75288991 4.58473E-5 1.81058131 4.90789E-5 1.90069801 5.41319E-5 40023501 1.99530000 5.94432E-5 2.00000000 5.97075E-5 2.11352184 7.62609E-5 40023501 2.20676274 8.98647E-5 2.25000000 9.61758E-5 2.27938308 1.02380E-4 40023501 2.39281892 1.26339E-4 2.51190000 1.51501E-4 2.53125000 1.55592E-4 40023501 2.66074055 1.95440E-4 2.77813064 2.31577E-4 2.84765625 2.52985E-4 40023501 2.86955971 2.62882E-4 3.01237592 3.27425E-4 3.16230000 3.95197E-4 40023501 3.20361328 4.13878E-4 3.34967810 5.11785E-4 3.49746259 6.10864E-4 40023501 3.60406494 6.82344E-4 3.61256426 6.90908E-4 3.79235805 8.72075E-4 40023501 3.98110000 .001062286 4.05457306 .001136343 4.21699334 .001386859 40023501 4.40304158 .001673848 4.54794485 .001897388 4.56139469 .001918139 40023501 4.77428998 .002428880 5.01190000 .002998954 5.10962036 .003233426 40023501 5.30887201 .003954977 5.54309280 .004803211 5.58931781 .004970623 40023501 5.72551517 .005674705 6.00905308 .007140526 6.01046675 .007150530 40023501 6.30960000 .009267330 6.37632145 .009739498 6.68346399 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9.05200333 .158507174 9.05617442 .160104135 9.06230965 .162525137 40023501 9.06830221 .164978802 9.07415541 .167466217 9.07429530 .167527935 40023501 9.07987249 .169988532 9.08545663 .172546805 9.09091090 .175141638 40023501 9.09447644 .176894824 9.10146899 .180459838 9.10824473 .184094999 40023501 9.11481039 .187799321 9.12117247 .191572077 9.12733729 .195411978 40023501 9.13331096 .199320676 9.14192598 .205276247 9.15014346 .211355073 40023501 9.15798172 .217533135 9.16549722 .223828335 9.17500276 .232275577 40023501 9.18392349 .240751206 9.19229539 .249202477 9.20389746 .261510116 40023501 9.21455531 .273543424 9.22732400 .288569119 9.24363733 .308219067 40023501 9.26153483 .329726904 9.28163223 .352399534 9.32000000 .383547130 40023501 9.32000000 1825042.83 9.32362862 1826195.47 9.35000000 1834572.39 40023501 9.36562500 1838817.90 9.40688095 1850027.63 9.44158203 1859456.31 40023501 9.49603821 1874252.68 9.52590957 1882369.07 9.55772003 1891012.34 40023501 9.60000000 1902500.31 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