28-Ni 2025 Evaluated Photon Data Library (EPDL) by D.E. Cullen 2023 0 0 28000.0000 58.2057000 -1 0 0 32800 1451 0.0 0.0 0 0 0 62800 1451 0.0 1.0000E+11 0 0 3 62800 1451 0.0 0.0 1 0 161 222800 1451 28-Ni- 0 NDS,IAEA Eval-Aug23 D.E.Cullen, et al. 2800 1451 NDS-IAEA-225 Dist-Jan25 2800 1451 ---- ENDF/B-VI MATERIAL 2800 2800 1451 ----- PHOTO-ATOMIC INTERACTION DATA 2800 1451 ------ ENDF/B-6 2800 1451 =================================================================2800 1451 The Livermore Evaluated Photon Data Library (EPDL97) in the 2800 1451 ENDF-6 Format. 2800 1451 =================================================================2800 1451 Contents 2800 1451 =================================================================2800 1451 MF/MT Description 2800 1451 =================================================================2800 1451 23/501 Total cross sections 2800 1451 23/502 Coherent scattering cross sections 2800 1451 23/504 Incoherent scattering cross sections 2800 1451 23/515 Pair production cross sections, Electron field 2800 1451 23/516 Pair production cross sections, Total 2800 1451 23/517 Pair production cross sections, Nuclear field 2800 1451 23/522 Total photoionization cross section 2800 1451 23/534 K (1S1/2) Photoionization subshell cross section 2800 1451 23/535 L1 (2S1/2) Photoionization subshell cross section 2800 1451 23/536 L2 (2P1/2) Photoionization subshell cross section 2800 1451 23/537 L3 (2P3/2) Photoionization subshell cross section 2800 1451 23/538 M1 (3S1/2) Photoionization subshell cross section 2800 1451 23/539 M2 (3P1/2) Photoionization subshell cross section 2800 1451 23/540 M3 (3P3/2) Photoionization subshell cross section 2800 1451 23/541 M4 (3D3/2) Photoionization subshell cross section 2800 1451 23/542 M5 (3D5/2) Photoionization subshell cross section 2800 1451 23/543 N1 (4S1/2) Photoionization subshell cross section 2800 1451 =================================================================2800 1451 27/502 Coherent scattering form factors 2800 1451 27/504 Incoherent scattering functions 2800 1451 27/505 Imaginary anomalous scattering factor 2800 1451 27/506 Real anomalous scattering factor 2800 1451 =================================================================2800 1451 Warning 2800 1451 =================================================================2800 1451 MF/MT combinations used to define photoionization subshell cross2800 1451 sections (MF=23, MT=534-572) and coherent anomalous scattering 2800 1451 factors (MF=27, MT=505 AND 506) are newly defined MF/MT numbers 2800 1451 for ENDF/B-VI that did not exist in earlier versions of ENDF/B. 2800 1451 If you are not prepared to use this data you need merely delete 2800 1451 it and all of the remaining data will still be consistent and 2800 1451 equivalent to the types of data in earlier versions of ENDF/B. 2800 1451 However, this will limit the range of problems to which this 2800 1451 data can be applied (see: ref. 1 for details). 2800 1451 =================================================================2800 1451 Definition of new types of data 2800 1451 =================================================================2800 1451 1) The total photoionization cross section is equal to the sum 2800 1451 of the photoionization subshell cross sections. 2800 1451 2800 1451 For each subshell on the second line of a section the C1 and 2800 1451 C2 fields are defined as, 2800 1451 2800 1451 EPE = The photoionization edge energy (similar to Q-value) 2800 1451 EFL = The fluorescence yield (eV/photoionization) 2800 1451 2800 1451 2) The angular distribution of coherently scattered photons is, 2800 1451 2800 1451 S(E,MU) = 3*T/8*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 2800 1451 2800 1451 S(E,MU) = Angular distributions (barns per unit cosine) 2800 1451 T = The Thomson cross section 2800 1451 MU = The cosine of the scattering angle 2800 1451 FF(M) = The atomic form factor 2800 1451 M = Momentum transfer = SIN(THETA/2)/LAMBDA/4*PI 2800 1451 F1(E) = The real anomalous scattering factor 2800 1451 F2(E) = The imaginary anomalous scattering factor 2800 1451 2800 1451 F1(E) and F2(E) are isotropic. 2800 1451 2800 1451 When F1(E) = F2(E) = 0 this reduces to the result obtained 2800 1451 using only form factors (the older ENDF/B convention). 2800 1451 =================================================================2800 1451 Differences between EPDL97 and the data base presented here 2800 1451 =================================================================2800 1451 1) Energy range - EPDL97 - 1 eV to 100 GeV 2800 1451 Here - 1 eV TO 100 GeV (previously 100 MeV) 2800 1451 2) Type of Data - EPDL97 - Photon interaction including 2800 1451 photoexcitation 2800 1451 Here - Photon interaction - ENDF/B-VI has 2800 1451 no provision for photoexcitation 2800 1451 3) Secondary E - EPDL97 - Average energy of each secondary 2800 1451 (photons, electrons, positrons) 2800 1451 HERE - No secondary energy data 2800 1451 4) Interpolation- EPDL97 - Cross sections are Log X vs. Log Y 2800 1451 interpolable - the total cross 2800 1451 section is not included 2800 1451 - Form factors and scattering functions 2800 1451 are Log X vs. Log y, except first 2800 1451 interval. 2800 1451 - Anomalous scattering factors linearly 2800 1451 interpolable (they can be negative) 2800 1451 Here - Up through ENDF/B-V photon interaction2800 1451 cross sections were Log X vs. Log Y. 2800 1451 - For the first two Mods. of ENDF/B-VI 2800 1451 in order to consistently define the 2800 1451 total cross sections at ALL energies 2800 1451 all cross sections were linearized. 2800 1451 This was NOT a good idea. 2800 1451 - Starting with Mod. 3, cross sections 2800 1451 are left in Log X vs. Log. Y form so 2800 1451 that they are IDENTICAL to what's in 2800 1451 EPDL97. 2800 1451 The total is defined ONLY at the 2800 1451 energies tabulated in any other cross 2800 1451 section. 2800 1451 WARNING - As a result the total cross section 2800 1451 MUST NOT be interpolated to define the2800 1451 total between tabulated energies. The 2800 1451 ONLY consist way to define the total 2800 1451 between tabulated energies is to 2800 1451 interpolate all of the partials and 2800 1451 add them up. 2800 1451 =================================================================2800 1451 References 2800 1451 =================================================================2800 1451 1) D.E. Cullen, M.H. Chen, J.H. Hubbell, S.T. Perkins, 2800 1451 E.F. Plechaty, J.A. Rathkopf and J.H. Scofield, Tables and 2800 1451 graphs of photon interaction cross sections from 10 eV to 100 2800 1451 GeV derived from the LLNL Evaluated Photon data library (EPDL), 2800 1451 UCRL-50400, Vol. 6, Rev. 4, Part A: Z = 1 to 50 and Part B: 2800 1451 Z = 51 to 100, Lawrence Livermore National Laboratory (1989) 2800 1451 2) D.E. Cullen, J.H. Hubbell and L.D. Kissel, EPDL97: the 2800 1451 Evaluated Photon Data Library, '97 Version, UCRL-50400, Vol. 6, 2800 1451 Rev. 5, Lawrence Livermore National Laboratory (1997) 2800 1451 3) D.E. Cullen "A Survey of Atomic Binding Energies for use 2800 1451 in EPICS2017" ,IAEA-NDS-224, (2017), Nuclear Data Section, 2800 1451 IAEA, Vienna, Austria 2800 1451 4) D.E. Cullen "A Survey of Photon Cross Section Data for use 2800 1451 in EPICS2017" ,IAEA-NDS-225, (2017), Nuclear Data Section, 2800 1451 IAEA, Vienna, Austria 2800 1451 5) D.E. Cullen,"EPICS2017: April 2019 Status Report", 2800 1451 IAEA-NDS-228, April 2019, Nuclear Data Section, 2800 1451 IAEA, Vienna, Austria. 2800 1451 6) D.E. Cullen,"EPICS2023: August 2023 Status Report", 2800 1451 IAEA-NDS-242, August 2023, Nuclear Data Section, 2800 1451 IAEA, Vienna, Austria. 2800 1451 2800 1451 These are the primary references to the contents of this library2800 1451 and they contain a complete list of references to the sources 2800 1451 of data used in this library, methods of evaluation, accuracy 2800 1451 of the data, etc. 2800 1451 =================================================================2800 1451 History 2800 1451 =================================================================2800 1451 1) Oct. 1989 - Initial Release 2800 1451 2) Aug. 1990 - Updated Photoelectic (total+shellS) 2800 1451 3) July 1997 - Complete re-evaluation 2800 1451 4) Sept.2014 - Updated based on recently published data. 2800 1451 - Insured Standard C, C++, FORTRAN format 2800 1451 5) Nov. 2017 - New Binding Energies (see, ref. 3) 2800 1451 - New Photoelectric and Coherent Cross Sections 2800 1451 - New Anomalous Scattering Factors (see, ref. 4) 2800 1451 - ALL Cross Sections Lin-Lin Interpolable 2800 1451 6) Aug. 2023 - Delete repeated points. Threshold start with XC=0.2800 1451 =================================================================2800 1451 ***************** Program FIXUP (Version 2023-2) ****************2800 1451 **************** Program DICTIN (VERSION 2023-1) ****************2800 1451 1 451 187 32800 1451 23 501 2432 32800 1451 23 502 129 32800 1451 23 504 134 32800 1451 23 515 73 32800 1451 23 516 152 32800 1451 23 517 101 32800 1451 23 522 2059 32800 1451 23 534 176 32800 1451 23 535 202 32800 1451 23 536 242 32800 1451 23 537 244 32800 1451 23 538 220 32800 1451 23 539 250 32800 1451 23 540 252 32800 1451 23 541 301 32800 1451 23 542 299 32800 1451 23 543 298 32800 1451 27 502 389 32800 1451 27 504 153 32800 1451 27 505 116 32800 1451 27 506 116 32800 1451 2800 1 0 2800 0 0 28000.0000 58.2057000 0 0 0 0280023501 0.0 0.0 0 0 1 7285280023501 7285 2 280023501 1.00000000 2.26040E-5 1.05924839 3.32599E-5 1.10597719 4.16690E-5280023501 1.14237171 4.82213E-5 1.19922131 5.84615E-5 1.25890000 6.92182E-5280023501 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