38-Sr 2025 Evaluated Photon Data Library (EPDL) by D.E. Cullen 2023 0 0 38000.0000 86.8674000 -1 0 0 33800 1451 0.0 0.0 0 0 0 63800 1451 0.0 1.0000E+11 0 0 3 63800 1451 0.0 0.0 1 0 164 253800 1451 38-Sr- 0 NDS,IAEA Eval-Aug23 D.E.Cullen, et al. 3800 1451 NDS-IAEA-225 Dist-Jan25 3800 1451 ---- ENDF/B-VI MATERIAL 3800 3800 1451 ----- PHOTO-ATOMIC INTERACTION DATA 3800 1451 ------ ENDF/B-6 3800 1451 =================================================================3800 1451 The Livermore Evaluated Photon Data Library (EPDL97) in the 3800 1451 ENDF-6 Format. 3800 1451 =================================================================3800 1451 Contents 3800 1451 =================================================================3800 1451 MF/MT Description 3800 1451 =================================================================3800 1451 23/501 Total cross sections 3800 1451 23/502 Coherent scattering cross sections 3800 1451 23/504 Incoherent scattering cross sections 3800 1451 23/515 Pair production cross sections, Electron field 3800 1451 23/516 Pair production cross sections, Total 3800 1451 23/517 Pair production cross sections, Nuclear field 3800 1451 23/522 Total photoionization cross section 3800 1451 23/534 K (1S1/2) Photoionization subshell cross section 3800 1451 23/535 L1 (2S1/2) Photoionization subshell cross section 3800 1451 23/536 L2 (2P1/2) Photoionization subshell cross section 3800 1451 23/537 L3 (2P3/2) Photoionization subshell cross section 3800 1451 23/538 M1 (3S1/2) Photoionization subshell cross section 3800 1451 23/539 M2 (3P1/2) Photoionization subshell cross section 3800 1451 23/540 M3 (3P3/2) Photoionization subshell cross section 3800 1451 23/541 M4 (3D3/2) Photoionization subshell cross section 3800 1451 23/542 M5 (3D5/2) Photoionization subshell cross section 3800 1451 23/543 N1 (4S1/2) Photoionization subshell cross section 3800 1451 23/544 N2 (4P1/2) Photoionization subshell cross section 3800 1451 23/545 N3 (4P3/2) Photoionization subshell cross section 3800 1451 23/550 O1 (5S1/2) Photoionization subshell cross section 3800 1451 =================================================================3800 1451 27/502 Coherent scattering form factors 3800 1451 27/504 Incoherent scattering functions 3800 1451 27/505 Imaginary anomalous scattering factor 3800 1451 27/506 Real anomalous scattering factor 3800 1451 =================================================================3800 1451 Warning 3800 1451 =================================================================3800 1451 MF/MT combinations used to define photoionization subshell cross3800 1451 sections (MF=23, MT=534-572) and coherent anomalous scattering 3800 1451 factors (MF=27, MT=505 AND 506) are newly defined MF/MT numbers 3800 1451 for ENDF/B-VI that did not exist in earlier versions of ENDF/B. 3800 1451 If you are not prepared to use this data you need merely delete 3800 1451 it and all of the remaining data will still be consistent and 3800 1451 equivalent to the types of data in earlier versions of ENDF/B. 3800 1451 However, this will limit the range of problems to which this 3800 1451 data can be applied (see: ref. 1 for details). 3800 1451 =================================================================3800 1451 Definition of new types of data 3800 1451 =================================================================3800 1451 1) The total photoionization cross section is equal to the sum 3800 1451 of the photoionization subshell cross sections. 3800 1451 3800 1451 For each subshell on the second line of a section the C1 and 3800 1451 C2 fields are defined as, 3800 1451 3800 1451 EPE = The photoionization edge energy (similar to Q-value) 3800 1451 EFL = The fluorescence yield (eV/photoionization) 3800 1451 3800 1451 2) The angular distribution of coherently scattered photons is, 3800 1451 3800 1451 S(E,MU) = 3*T/8*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 3800 1451 3800 1451 S(E,MU) = Angular distributions (barns per unit cosine) 3800 1451 T = The Thomson cross section 3800 1451 MU = The cosine of the scattering angle 3800 1451 FF(M) = The atomic form factor 3800 1451 M = Momentum transfer = SIN(THETA/2)/LAMBDA/4*PI 3800 1451 F1(E) = The real anomalous scattering factor 3800 1451 F2(E) = The imaginary anomalous scattering factor 3800 1451 3800 1451 F1(E) and F2(E) are isotropic. 3800 1451 3800 1451 When F1(E) = F2(E) = 0 this reduces to the result obtained 3800 1451 using only form factors (the older ENDF/B convention). 3800 1451 =================================================================3800 1451 Differences between EPDL97 and the data base presented here 3800 1451 =================================================================3800 1451 1) Energy range - EPDL97 - 1 eV to 100 GeV 3800 1451 Here - 1 eV TO 100 GeV (previously 100 MeV) 3800 1451 2) Type of Data - EPDL97 - Photon interaction including 3800 1451 photoexcitation 3800 1451 Here - Photon interaction - ENDF/B-VI has 3800 1451 no provision for photoexcitation 3800 1451 3) Secondary E - EPDL97 - Average energy of each secondary 3800 1451 (photons, electrons, positrons) 3800 1451 HERE - No secondary energy data 3800 1451 4) Interpolation- EPDL97 - Cross sections are Log X vs. Log Y 3800 1451 interpolable - the total cross 3800 1451 section is not included 3800 1451 - Form factors and scattering functions 3800 1451 are Log X vs. Log y, except first 3800 1451 interval. 3800 1451 - Anomalous scattering factors linearly 3800 1451 interpolable (they can be negative) 3800 1451 Here - Up through ENDF/B-V photon interaction3800 1451 cross sections were Log X vs. Log Y. 3800 1451 - For the first two Mods. of ENDF/B-VI 3800 1451 in order to consistently define the 3800 1451 total cross sections at ALL energies 3800 1451 all cross sections were linearized. 3800 1451 This was NOT a good idea. 3800 1451 - Starting with Mod. 3, cross sections 3800 1451 are left in Log X vs. Log. Y form so 3800 1451 that they are IDENTICAL to what's in 3800 1451 EPDL97. 3800 1451 The total is defined ONLY at the 3800 1451 energies tabulated in any other cross 3800 1451 section. 3800 1451 WARNING - As a result the total cross section 3800 1451 MUST NOT be interpolated to define the3800 1451 total between tabulated energies. The 3800 1451 ONLY consist way to define the total 3800 1451 between tabulated energies is to 3800 1451 interpolate all of the partials and 3800 1451 add them up. 3800 1451 =================================================================3800 1451 References 3800 1451 =================================================================3800 1451 1) D.E. Cullen, M.H. Chen, J.H. Hubbell, S.T. Perkins, 3800 1451 E.F. Plechaty, J.A. Rathkopf and J.H. Scofield, Tables and 3800 1451 graphs of photon interaction cross sections from 10 eV to 100 3800 1451 GeV derived from the LLNL Evaluated Photon data library (EPDL), 3800 1451 UCRL-50400, Vol. 6, Rev. 4, Part A: Z = 1 to 50 and Part B: 3800 1451 Z = 51 to 100, Lawrence Livermore National Laboratory (1989) 3800 1451 2) D.E. Cullen, J.H. Hubbell and L.D. Kissel, EPDL97: the 3800 1451 Evaluated Photon Data Library, '97 Version, UCRL-50400, Vol. 6, 3800 1451 Rev. 5, Lawrence Livermore National Laboratory (1997) 3800 1451 3) D.E. Cullen "A Survey of Atomic Binding Energies for use 3800 1451 in EPICS2017" ,IAEA-NDS-224, (2017), Nuclear Data Section, 3800 1451 IAEA, Vienna, Austria 3800 1451 4) D.E. Cullen "A Survey of Photon Cross Section Data for use 3800 1451 in EPICS2017" ,IAEA-NDS-225, (2017), Nuclear Data Section, 3800 1451 IAEA, Vienna, Austria 3800 1451 5) D.E. Cullen,"EPICS2017: April 2019 Status Report", 3800 1451 IAEA-NDS-228, April 2019, Nuclear Data Section, 3800 1451 IAEA, Vienna, Austria. 3800 1451 6) D.E. Cullen,"EPICS2023: August 2023 Status Report", 3800 1451 IAEA-NDS-242, August 2023, Nuclear Data Section, 3800 1451 IAEA, Vienna, Austria. 3800 1451 3800 1451 These are the primary references to the contents of this library3800 1451 and they contain a complete list of references to the sources 3800 1451 of data used in this library, methods of evaluation, accuracy 3800 1451 of the data, etc. 3800 1451 =================================================================3800 1451 History 3800 1451 =================================================================3800 1451 1) Oct. 1989 - Initial Release 3800 1451 2) Aug. 1990 - Updated Photoelectic (total+shellS) 3800 1451 3) July 1997 - Complete re-evaluation 3800 1451 4) Sept.2014 - Updated based on recently published data. 3800 1451 - Insured Standard C, C++, FORTRAN format 3800 1451 5) Nov. 2017 - New Binding Energies (see, ref. 3) 3800 1451 - New Photoelectric and Coherent Cross Sections 3800 1451 - New Anomalous Scattering Factors (see, ref. 4) 3800 1451 - ALL Cross Sections Lin-Lin Interpolable 3800 1451 6) Aug. 2023 - Delete repeated points. Threshold start with XC=0.3800 1451 =================================================================3800 1451 ***************** Program FIXUP (Version 2023-2) ****************3800 1451 **************** Program DICTIN (VERSION 2023-1) ****************3800 1451 1 451 193 33800 1451 23 501 2871 33800 1451 23 502 157 33800 1451 23 504 132 33800 1451 23 515 73 33800 1451 23 516 150 33800 1451 23 517 100 33800 1451 23 522 2484 33800 1451 23 534 164 33800 1451 23 535 187 33800 1451 23 536 211 33800 1451 23 537 211 33800 1451 23 538 206 33800 1451 23 539 224 33800 1451 23 540 229 33800 1451 23 541 288 33800 1451 23 542 286 33800 1451 23 543 226 33800 1451 23 544 264 33800 1451 23 545 267 33800 1451 23 550 276 33800 1451 27 502 380 33800 1451 27 504 148 33800 1451 27 505 144 33800 1451 27 506 144 33800 1451 3800 1 0 3800 0 0 38000.0000 86.8674000 0 0 0 0380023501 0.0 0.0 0 0 1 8604380023501 8604 2 380023501 1.00000000 2.33873E-5 1.05924839 3.40064E-5 1.10597719 4.23915E-5380023501 1.14237171 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