14-Si 2025 Evaluated Photon Data Library (EPDL) by D.E. Cullen 2023 0 0 14000.0000 27.8447000 -1 0 0 31400 1451 0.0 0.0 0 0 0 61400 1451 0.0 1.0000E+11 0 0 3 61400 1451 0.0 0.0 1 0 158 191400 1451 14-Si- 0 NDS,IAEA Eval-Aug23 D.E.Cullen, et al. 1400 1451 NDS-IAEA-225 Dist-Jan25 1400 1451 ---- ENDF/B-VI MATERIAL 1400 1400 1451 ----- PHOTO-ATOMIC INTERACTION DATA 1400 1451 ------ ENDF/B-6 1400 1451 =================================================================1400 1451 The Livermore Evaluated Photon Data Library (EPDL97) in the 1400 1451 ENDF-6 Format. 1400 1451 =================================================================1400 1451 Contents 1400 1451 =================================================================1400 1451 MF/MT Description 1400 1451 =================================================================1400 1451 23/501 Total cross sections 1400 1451 23/502 Coherent scattering cross sections 1400 1451 23/504 Incoherent scattering cross sections 1400 1451 23/515 Pair production cross sections, Electron field 1400 1451 23/516 Pair production cross sections, Total 1400 1451 23/517 Pair production cross sections, Nuclear field 1400 1451 23/522 Total photoionization cross section 1400 1451 23/534 K (1S1/2) Photoionization subshell cross section 1400 1451 23/535 L1 (2S1/2) Photoionization subshell cross section 1400 1451 23/536 L2 (2P1/2) Photoionization subshell cross section 1400 1451 23/537 L3 (2P3/2) Photoionization subshell cross section 1400 1451 23/538 M1 (3S1/2) Photoionization subshell cross section 1400 1451 23/539 M2 (3P1/2) Photoionization subshell cross section 1400 1451 23/540 M3 (3P3/2) Photoionization subshell cross section 1400 1451 =================================================================1400 1451 27/502 Coherent scattering form factors 1400 1451 27/504 Incoherent scattering functions 1400 1451 27/505 Imaginary anomalous scattering factor 1400 1451 27/506 Real anomalous scattering factor 1400 1451 =================================================================1400 1451 Warning 1400 1451 =================================================================1400 1451 MF/MT combinations used to define photoionization subshell cross1400 1451 sections (MF=23, MT=534-572) and coherent anomalous scattering 1400 1451 factors (MF=27, MT=505 AND 506) are newly defined MF/MT numbers 1400 1451 for ENDF/B-VI that did not exist in earlier versions of ENDF/B. 1400 1451 If you are not prepared to use this data you need merely delete 1400 1451 it and all of the remaining data will still be consistent and 1400 1451 equivalent to the types of data in earlier versions of ENDF/B. 1400 1451 However, this will limit the range of problems to which this 1400 1451 data can be applied (see: ref. 1 for details). 1400 1451 =================================================================1400 1451 Definition of new types of data 1400 1451 =================================================================1400 1451 1) The total photoionization cross section is equal to the sum 1400 1451 of the photoionization subshell cross sections. 1400 1451 1400 1451 For each subshell on the second line of a section the C1 and 1400 1451 C2 fields are defined as, 1400 1451 1400 1451 EPE = The photoionization edge energy (similar to Q-value) 1400 1451 EFL = The fluorescence yield (eV/photoionization) 1400 1451 1400 1451 2) The angular distribution of coherently scattered photons is, 1400 1451 1400 1451 S(E,MU) = 3*T/8*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 1400 1451 1400 1451 S(E,MU) = Angular distributions (barns per unit cosine) 1400 1451 T = The Thomson cross section 1400 1451 MU = The cosine of the scattering angle 1400 1451 FF(M) = The atomic form factor 1400 1451 M = Momentum transfer = SIN(THETA/2)/LAMBDA/4*PI 1400 1451 F1(E) = The real anomalous scattering factor 1400 1451 F2(E) = The imaginary anomalous scattering factor 1400 1451 1400 1451 F1(E) and F2(E) are isotropic. 1400 1451 1400 1451 When F1(E) = F2(E) = 0 this reduces to the result obtained 1400 1451 using only form factors (the older ENDF/B convention). 1400 1451 =================================================================1400 1451 Differences between EPDL97 and the data base presented here 1400 1451 =================================================================1400 1451 1) Energy range - EPDL97 - 1 eV to 100 GeV 1400 1451 Here - 1 eV TO 100 GeV (previously 100 MeV) 1400 1451 2) Type of Data - EPDL97 - Photon interaction including 1400 1451 photoexcitation 1400 1451 Here - Photon interaction - ENDF/B-VI has 1400 1451 no provision for photoexcitation 1400 1451 3) Secondary E - EPDL97 - Average energy of each secondary 1400 1451 (photons, electrons, positrons) 1400 1451 HERE - No secondary energy data 1400 1451 4) Interpolation- EPDL97 - Cross sections are Log X vs. Log Y 1400 1451 interpolable - the total cross 1400 1451 section is not included 1400 1451 - Form factors and scattering functions 1400 1451 are Log X vs. Log y, except first 1400 1451 interval. 1400 1451 - Anomalous scattering factors linearly 1400 1451 interpolable (they can be negative) 1400 1451 Here - Up through ENDF/B-V photon interaction1400 1451 cross sections were Log X vs. Log Y. 1400 1451 - For the first two Mods. of ENDF/B-VI 1400 1451 in order to consistently define the 1400 1451 total cross sections at ALL energies 1400 1451 all cross sections were linearized. 1400 1451 This was NOT a good idea. 1400 1451 - Starting with Mod. 3, cross sections 1400 1451 are left in Log X vs. Log. Y form so 1400 1451 that they are IDENTICAL to what's in 1400 1451 EPDL97. 1400 1451 The total is defined ONLY at the 1400 1451 energies tabulated in any other cross 1400 1451 section. 1400 1451 WARNING - As a result the total cross section 1400 1451 MUST NOT be interpolated to define the1400 1451 total between tabulated energies. The 1400 1451 ONLY consist way to define the total 1400 1451 between tabulated energies is to 1400 1451 interpolate all of the partials and 1400 1451 add them up. 1400 1451 =================================================================1400 1451 References 1400 1451 =================================================================1400 1451 1) D.E. Cullen, M.H. Chen, J.H. Hubbell, S.T. Perkins, 1400 1451 E.F. Plechaty, J.A. Rathkopf and J.H. Scofield, Tables and 1400 1451 graphs of photon interaction cross sections from 10 eV to 100 1400 1451 GeV derived from the LLNL Evaluated Photon data library (EPDL), 1400 1451 UCRL-50400, Vol. 6, Rev. 4, Part A: Z = 1 to 50 and Part B: 1400 1451 Z = 51 to 100, Lawrence Livermore National Laboratory (1989) 1400 1451 2) D.E. Cullen, J.H. Hubbell and L.D. Kissel, EPDL97: the 1400 1451 Evaluated Photon Data Library, '97 Version, UCRL-50400, Vol. 6, 1400 1451 Rev. 5, Lawrence Livermore National Laboratory (1997) 1400 1451 3) D.E. Cullen "A Survey of Atomic Binding Energies for use 1400 1451 in EPICS2017" ,IAEA-NDS-224, (2017), Nuclear Data Section, 1400 1451 IAEA, Vienna, Austria 1400 1451 4) D.E. Cullen "A Survey of Photon Cross Section Data for use 1400 1451 in EPICS2017" ,IAEA-NDS-225, (2017), Nuclear Data Section, 1400 1451 IAEA, Vienna, Austria 1400 1451 5) D.E. Cullen,"EPICS2017: April 2019 Status Report", 1400 1451 IAEA-NDS-228, April 2019, Nuclear Data Section, 1400 1451 IAEA, Vienna, Austria. 1400 1451 6) D.E. Cullen,"EPICS2023: August 2023 Status Report", 1400 1451 IAEA-NDS-242, August 2023, Nuclear Data Section, 1400 1451 IAEA, Vienna, Austria. 1400 1451 1400 1451 These are the primary references to the contents of this library1400 1451 and they contain a complete list of references to the sources 1400 1451 of data used in this library, methods of evaluation, accuracy 1400 1451 of the data, etc. 1400 1451 =================================================================1400 1451 History 1400 1451 =================================================================1400 1451 1) Oct. 1989 - Initial Release 1400 1451 2) Aug. 1990 - Updated Photoelectic (total+shellS) 1400 1451 3) July 1997 - Complete re-evaluation 1400 1451 4) Sept.2014 - Updated based on recently published data. 1400 1451 - Insured Standard C, C++, FORTRAN format 1400 1451 5) Nov. 2017 - New Binding Energies (see, ref. 3) 1400 1451 - New Photoelectric and Coherent Cross Sections 1400 1451 - New Anomalous Scattering Factors (see, ref. 4) 1400 1451 - ALL Cross Sections Lin-Lin Interpolable 1400 1451 6) Aug. 2023 - Delete repeated points. Threshold start with XC=0.1400 1451 =================================================================1400 1451 ***************** Program FIXUP (Version 2023-2) ****************1400 1451 **************** Program DICTIN (VERSION 2023-1) ****************1400 1451 1 451 181 31400 1451 23 501 2156 31400 1451 23 502 136 31400 1451 23 504 135 31400 1451 23 515 74 31400 1451 23 516 153 31400 1451 23 517 102 31400 1451 23 522 1776 31400 1451 23 534 204 31400 1451 23 535 229 31400 1451 23 536 281 31400 1451 23 537 280 31400 1451 23 538 300 31400 1451 23 539 306 31400 1451 23 540 305 31400 1451 27 502 403 31400 1451 27 504 152 31400 1451 27 505 123 31400 1451 27 506 123 31400 1451 1400 1 0 1400 0 0 14000.0000 27.8447000 0 0 0 0140023501 0.0 0.0 0 0 1 6458140023501 6458 2 140023501 1.00000000 5.29651E-5 1.05924839 6.81650E-5 1.10597719 8.01569E-5140023501 1.12500000 8.50399E-5 1.14237171 9.14356E-5 1.19922131 1.12370E-4140023501 1.25890000 1.34351E-4 1.26562500 1.36828E-4 1.33350268 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