11-Na 2025 Evaluated Photon Data Library (EPDL) by D.E. Cullen 2023 0 0 11000.0000 22.7923000 -1 0 0 31100 1451 0.0 0.0 0 0 0 61100 1451 0.0 1.0000E+11 0 0 3 61100 1451 0.0 0.0 1 0 156 171100 1451 11-Na- 0 NDS,IAEA Eval-Aug23 D.E.Cullen, et al. 1100 1451 NDS-IAEA-225 Dist-Jan25 1100 1451 ---- ENDF/B-VI MATERIAL 1100 1100 1451 ----- PHOTO-ATOMIC INTERACTION DATA 1100 1451 ------ ENDF/B-6 1100 1451 =================================================================1100 1451 The Livermore Evaluated Photon Data Library (EPDL97) in the 1100 1451 ENDF-6 Format. 1100 1451 =================================================================1100 1451 Contents 1100 1451 =================================================================1100 1451 MF/MT Description 1100 1451 =================================================================1100 1451 23/501 Total cross sections 1100 1451 23/502 Coherent scattering cross sections 1100 1451 23/504 Incoherent scattering cross sections 1100 1451 23/515 Pair production cross sections, Electron field 1100 1451 23/516 Pair production cross sections, Total 1100 1451 23/517 Pair production cross sections, Nuclear field 1100 1451 23/522 Total photoionization cross section 1100 1451 23/534 K (1S1/2) Photoionization subshell cross section 1100 1451 23/535 L1 (2S1/2) Photoionization subshell cross section 1100 1451 23/536 L2 (2P1/2) Photoionization subshell cross section 1100 1451 23/537 L3 (2P3/2) Photoionization subshell cross section 1100 1451 23/538 M1 (3S1/2) Photoionization subshell cross section 1100 1451 =================================================================1100 1451 27/502 Coherent scattering form factors 1100 1451 27/504 Incoherent scattering functions 1100 1451 27/505 Imaginary anomalous scattering factor 1100 1451 27/506 Real anomalous scattering factor 1100 1451 =================================================================1100 1451 Warning 1100 1451 =================================================================1100 1451 MF/MT combinations used to define photoionization subshell cross1100 1451 sections (MF=23, MT=534-572) and coherent anomalous scattering 1100 1451 factors (MF=27, MT=505 AND 506) are newly defined MF/MT numbers 1100 1451 for ENDF/B-VI that did not exist in earlier versions of ENDF/B. 1100 1451 If you are not prepared to use this data you need merely delete 1100 1451 it and all of the remaining data will still be consistent and 1100 1451 equivalent to the types of data in earlier versions of ENDF/B. 1100 1451 However, this will limit the range of problems to which this 1100 1451 data can be applied (see: ref. 1 for details). 1100 1451 =================================================================1100 1451 Definition of new types of data 1100 1451 =================================================================1100 1451 1) The total photoionization cross section is equal to the sum 1100 1451 of the photoionization subshell cross sections. 1100 1451 1100 1451 For each subshell on the second line of a section the C1 and 1100 1451 C2 fields are defined as, 1100 1451 1100 1451 EPE = The photoionization edge energy (similar to Q-value) 1100 1451 EFL = The fluorescence yield (eV/photoionization) 1100 1451 1100 1451 2) The angular distribution of coherently scattered photons is, 1100 1451 1100 1451 S(E,MU) = 3*T/8*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 1100 1451 1100 1451 S(E,MU) = Angular distributions (barns per unit cosine) 1100 1451 T = The Thomson cross section 1100 1451 MU = The cosine of the scattering angle 1100 1451 FF(M) = The atomic form factor 1100 1451 M = Momentum transfer = SIN(THETA/2)/LAMBDA/4*PI 1100 1451 F1(E) = The real anomalous scattering factor 1100 1451 F2(E) = The imaginary anomalous scattering factor 1100 1451 1100 1451 F1(E) and F2(E) are isotropic. 1100 1451 1100 1451 When F1(E) = F2(E) = 0 this reduces to the result obtained 1100 1451 using only form factors (the older ENDF/B convention). 1100 1451 =================================================================1100 1451 Differences between EPDL97 and the data base presented here 1100 1451 =================================================================1100 1451 1) Energy range - EPDL97 - 1 eV to 100 GeV 1100 1451 Here - 1 eV TO 100 GeV (previously 100 MeV) 1100 1451 2) Type of Data - EPDL97 - Photon interaction including 1100 1451 photoexcitation 1100 1451 Here - Photon interaction - ENDF/B-VI has 1100 1451 no provision for photoexcitation 1100 1451 3) Secondary E - EPDL97 - Average energy of each secondary 1100 1451 (photons, electrons, positrons) 1100 1451 HERE - No secondary energy data 1100 1451 4) Interpolation- EPDL97 - Cross sections are Log X vs. Log Y 1100 1451 interpolable - the total cross 1100 1451 section is not included 1100 1451 - Form factors and scattering functions 1100 1451 are Log X vs. Log y, except first 1100 1451 interval. 1100 1451 - Anomalous scattering factors linearly 1100 1451 interpolable (they can be negative) 1100 1451 Here - Up through ENDF/B-V photon interaction1100 1451 cross sections were Log X vs. Log Y. 1100 1451 - For the first two Mods. of ENDF/B-VI 1100 1451 in order to consistently define the 1100 1451 total cross sections at ALL energies 1100 1451 all cross sections were linearized. 1100 1451 This was NOT a good idea. 1100 1451 - Starting with Mod. 3, cross sections 1100 1451 are left in Log X vs. Log. Y form so 1100 1451 that they are IDENTICAL to what's in 1100 1451 EPDL97. 1100 1451 The total is defined ONLY at the 1100 1451 energies tabulated in any other cross 1100 1451 section. 1100 1451 WARNING - As a result the total cross section 1100 1451 MUST NOT be interpolated to define the1100 1451 total between tabulated energies. The 1100 1451 ONLY consist way to define the total 1100 1451 between tabulated energies is to 1100 1451 interpolate all of the partials and 1100 1451 add them up. 1100 1451 =================================================================1100 1451 References 1100 1451 =================================================================1100 1451 1) D.E. Cullen, M.H. Chen, J.H. Hubbell, S.T. Perkins, 1100 1451 E.F. Plechaty, J.A. Rathkopf and J.H. Scofield, Tables and 1100 1451 graphs of photon interaction cross sections from 10 eV to 100 1100 1451 GeV derived from the LLNL Evaluated Photon data library (EPDL), 1100 1451 UCRL-50400, Vol. 6, Rev. 4, Part A: Z = 1 to 50 and Part B: 1100 1451 Z = 51 to 100, Lawrence Livermore National Laboratory (1989) 1100 1451 2) D.E. Cullen, J.H. Hubbell and L.D. Kissel, EPDL97: the 1100 1451 Evaluated Photon Data Library, '97 Version, UCRL-50400, Vol. 6, 1100 1451 Rev. 5, Lawrence Livermore National Laboratory (1997) 1100 1451 3) D.E. Cullen "A Survey of Atomic Binding Energies for use 1100 1451 in EPICS2017" ,IAEA-NDS-224, (2017), Nuclear Data Section, 1100 1451 IAEA, Vienna, Austria 1100 1451 4) D.E. Cullen "A Survey of Photon Cross Section Data for use 1100 1451 in EPICS2017" ,IAEA-NDS-225, (2017), Nuclear Data Section, 1100 1451 IAEA, Vienna, Austria 1100 1451 5) D.E. Cullen,"EPICS2017: April 2019 Status Report", 1100 1451 IAEA-NDS-228, April 2019, Nuclear Data Section, 1100 1451 IAEA, Vienna, Austria. 1100 1451 6) D.E. Cullen,"EPICS2023: August 2023 Status Report", 1100 1451 IAEA-NDS-242, August 2023, Nuclear Data Section, 1100 1451 IAEA, Vienna, Austria. 1100 1451 1100 1451 These are the primary references to the contents of this library1100 1451 and they contain a complete list of references to the sources 1100 1451 of data used in this library, methods of evaluation, accuracy 1100 1451 of the data, etc. 1100 1451 =================================================================1100 1451 History 1100 1451 =================================================================1100 1451 1) Oct. 1989 - Initial Release 1100 1451 2) Aug. 1990 - Updated Photoelectic (total+shellS) 1100 1451 3) July 1997 - Complete re-evaluation 1100 1451 4) Sept.2014 - Updated based on recently published data. 1100 1451 - Insured Standard C, C++, FORTRAN format 1100 1451 5) Nov. 2017 - New Binding Energies (see, ref. 3) 1100 1451 - New Photoelectric and Coherent Cross Sections 1100 1451 - New Anomalous Scattering Factors (see, ref. 4) 1100 1451 - ALL Cross Sections Lin-Lin Interpolable 1100 1451 6) Aug. 2023 - Delete repeated points. 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