72-Hf 2025 Evaluated Photon Data Library (EPDL) by D.E. Cullen 2023 0 0 72000.0000 176.957000 -1 0 0 37200 1451 0.0 0.0 0 0 0 67200 1451 0.0 1.0000E+11 0 0 3 67200 1451 0.0 0.0 1 0 173 347200 1451 72-Hf- 0 NDS,IAEA Eval-Aug23 D.E.Cullen, et al. 7200 1451 NDS-IAEA-225 Dist-Jan25 7200 1451 ---- ENDF/B-VI MATERIAL 7200 7200 1451 ----- PHOTO-ATOMIC INTERACTION DATA 7200 1451 ------ ENDF/B-6 7200 1451 =================================================================7200 1451 The Livermore Evaluated Photon Data Library (EPDL97) in the 7200 1451 ENDF-6 Format. 7200 1451 =================================================================7200 1451 Contents 7200 1451 =================================================================7200 1451 MF/MT Description 7200 1451 =================================================================7200 1451 23/501 Total cross sections 7200 1451 23/502 Coherent scattering cross sections 7200 1451 23/504 Incoherent scattering cross sections 7200 1451 23/515 Pair production cross sections, Electron field 7200 1451 23/516 Pair production cross sections, Total 7200 1451 23/517 Pair production cross sections, Nuclear field 7200 1451 23/522 Total photoionization cross section 7200 1451 23/534 K (1S1/2) Photoionization subshell cross section 7200 1451 23/535 L1 (2S1/2) Photoionization subshell cross section 7200 1451 23/536 L2 (2P1/2) Photoionization subshell cross section 7200 1451 23/537 L3 (2P3/2) Photoionization subshell cross section 7200 1451 23/538 M1 (3S1/2) Photoionization subshell cross section 7200 1451 23/539 M2 (3P1/2) Photoionization subshell cross section 7200 1451 23/540 M3 (3P3/2) Photoionization subshell cross section 7200 1451 23/541 M4 (3D3/2) Photoionization subshell cross section 7200 1451 23/542 M5 (3D5/2) Photoionization subshell cross section 7200 1451 23/543 N1 (4S1/2) Photoionization subshell cross section 7200 1451 23/544 N2 (4P1/2) Photoionization subshell cross section 7200 1451 23/545 N3 (4P3/2) Photoionization subshell cross section 7200 1451 23/546 N4 (4D3/2) Photoionization subshell cross section 7200 1451 23/547 N5 (4D5/2) Photoionization subshell cross section 7200 1451 23/548 N6 (4F5/2) Photoionization subshell cross section 7200 1451 23/549 N7 (4F7/2) Photoionization subshell cross section 7200 1451 23/550 O1 (5S1/2) Photoionization subshell cross section 7200 1451 23/551 O2 (5P1/2) Photoionization subshell cross section 7200 1451 23/552 O3 (5P3/2) Photoionization subshell cross section 7200 1451 23/553 O4 (5D3/2) Photoionization subshell cross section 7200 1451 23/554 O5 (5D5/2) Photoionization subshell cross section 7200 1451 23/559 P1 (6S1/2) Photoionization subshell cross section 7200 1451 =================================================================7200 1451 27/502 Coherent scattering form factors 7200 1451 27/504 Incoherent scattering functions 7200 1451 27/505 Imaginary anomalous scattering factor 7200 1451 27/506 Real anomalous scattering factor 7200 1451 =================================================================7200 1451 Warning 7200 1451 =================================================================7200 1451 MF/MT combinations used to define photoionization subshell cross7200 1451 sections (MF=23, MT=534-572) and coherent anomalous scattering 7200 1451 factors (MF=27, MT=505 AND 506) are newly defined MF/MT numbers 7200 1451 for ENDF/B-VI that did not exist in earlier versions of ENDF/B. 7200 1451 If you are not prepared to use this data you need merely delete 7200 1451 it and all of the remaining data will still be consistent and 7200 1451 equivalent to the types of data in earlier versions of ENDF/B. 7200 1451 However, this will limit the range of problems to which this 7200 1451 data can be applied (see: ref. 1 for details). 7200 1451 =================================================================7200 1451 Definition of new types of data 7200 1451 =================================================================7200 1451 1) The total photoionization cross section is equal to the sum 7200 1451 of the photoionization subshell cross sections. 7200 1451 7200 1451 For each subshell on the second line of a section the C1 and 7200 1451 C2 fields are defined as, 7200 1451 7200 1451 EPE = The photoionization edge energy (similar to Q-value) 7200 1451 EFL = The fluorescence yield (eV/photoionization) 7200 1451 7200 1451 2) The angular distribution of coherently scattered photons is, 7200 1451 7200 1451 S(E,MU) = 3*T/8*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 7200 1451 7200 1451 S(E,MU) = Angular distributions (barns per unit cosine) 7200 1451 T = The Thomson cross section 7200 1451 MU = The cosine of the scattering angle 7200 1451 FF(M) = The atomic form factor 7200 1451 M = Momentum transfer = SIN(THETA/2)/LAMBDA/4*PI 7200 1451 F1(E) = The real anomalous scattering factor 7200 1451 F2(E) = The imaginary anomalous scattering factor 7200 1451 7200 1451 F1(E) and F2(E) are isotropic. 7200 1451 7200 1451 When F1(E) = F2(E) = 0 this reduces to the result obtained 7200 1451 using only form factors (the older ENDF/B convention). 7200 1451 =================================================================7200 1451 Differences between EPDL97 and the data base presented here 7200 1451 =================================================================7200 1451 1) Energy range - EPDL97 - 1 eV to 100 GeV 7200 1451 Here - 1 eV TO 100 GeV (previously 100 MeV) 7200 1451 2) Type of Data - EPDL97 - Photon interaction including 7200 1451 photoexcitation 7200 1451 Here - Photon interaction - ENDF/B-VI has 7200 1451 no provision for photoexcitation 7200 1451 3) Secondary E - EPDL97 - Average energy of each secondary 7200 1451 (photons, electrons, positrons) 7200 1451 HERE - No secondary energy data 7200 1451 4) Interpolation- EPDL97 - Cross sections are Log X vs. Log Y 7200 1451 interpolable - the total cross 7200 1451 section is not included 7200 1451 - Form factors and scattering functions 7200 1451 are Log X vs. Log y, except first 7200 1451 interval. 7200 1451 - Anomalous scattering factors linearly 7200 1451 interpolable (they can be negative) 7200 1451 Here - Up through ENDF/B-V photon interaction7200 1451 cross sections were Log X vs. Log Y. 7200 1451 - For the first two Mods. of ENDF/B-VI 7200 1451 in order to consistently define the 7200 1451 total cross sections at ALL energies 7200 1451 all cross sections were linearized. 7200 1451 This was NOT a good idea. 7200 1451 - Starting with Mod. 3, cross sections 7200 1451 are left in Log X vs. Log. Y form so 7200 1451 that they are IDENTICAL to what's in 7200 1451 EPDL97. 7200 1451 The total is defined ONLY at the 7200 1451 energies tabulated in any other cross 7200 1451 section. 7200 1451 WARNING - As a result the total cross section 7200 1451 MUST NOT be interpolated to define the7200 1451 total between tabulated energies. The 7200 1451 ONLY consist way to define the total 7200 1451 between tabulated energies is to 7200 1451 interpolate all of the partials and 7200 1451 add them up. 7200 1451 =================================================================7200 1451 References 7200 1451 =================================================================7200 1451 1) D.E. Cullen, M.H. Chen, J.H. Hubbell, S.T. Perkins, 7200 1451 E.F. Plechaty, J.A. Rathkopf and J.H. Scofield, Tables and 7200 1451 graphs of photon interaction cross sections from 10 eV to 100 7200 1451 GeV derived from the LLNL Evaluated Photon data library (EPDL), 7200 1451 UCRL-50400, Vol. 6, Rev. 4, Part A: Z = 1 to 50 and Part B: 7200 1451 Z = 51 to 100, Lawrence Livermore National Laboratory (1989) 7200 1451 2) D.E. Cullen, J.H. Hubbell and L.D. Kissel, EPDL97: the 7200 1451 Evaluated Photon Data Library, '97 Version, UCRL-50400, Vol. 6, 7200 1451 Rev. 5, Lawrence Livermore National Laboratory (1997) 7200 1451 3) D.E. Cullen "A Survey of Atomic Binding Energies for use 7200 1451 in EPICS2017" ,IAEA-NDS-224, (2017), Nuclear Data Section, 7200 1451 IAEA, Vienna, Austria 7200 1451 4) D.E. Cullen "A Survey of Photon Cross Section Data for use 7200 1451 in EPICS2017" ,IAEA-NDS-225, (2017), Nuclear Data Section, 7200 1451 IAEA, Vienna, Austria 7200 1451 5) D.E. Cullen,"EPICS2017: April 2019 Status Report", 7200 1451 IAEA-NDS-228, April 2019, Nuclear Data Section, 7200 1451 IAEA, Vienna, Austria. 7200 1451 6) D.E. Cullen,"EPICS2023: August 2023 Status Report", 7200 1451 IAEA-NDS-242, August 2023, Nuclear Data Section, 7200 1451 IAEA, Vienna, Austria. 7200 1451 7200 1451 These are the primary references to the contents of this library7200 1451 and they contain a complete list of references to the sources 7200 1451 of data used in this library, methods of evaluation, accuracy 7200 1451 of the data, etc. 7200 1451 =================================================================7200 1451 History 7200 1451 =================================================================7200 1451 1) Oct. 1989 - Initial Release 7200 1451 2) Aug. 1990 - Updated Photoelectic (total+shellS) 7200 1451 3) July 1997 - Complete re-evaluation 7200 1451 4) Sept.2014 - Updated based on recently published data. 7200 1451 - Insured Standard C, C++, FORTRAN format 7200 1451 5) Nov. 2017 - New Binding Energies (see, ref. 3) 7200 1451 - New Photoelectric and Coherent Cross Sections 7200 1451 - New Anomalous Scattering Factors (see, ref. 4) 7200 1451 - ALL Cross Sections Lin-Lin Interpolable 7200 1451 6) Aug. 2023 - Delete repeated points. Threshold start with XC=0.7200 1451 =================================================================7200 1451 ***************** Program FIXUP (Version 2023-2) ****************7200 1451 **************** Program DICTIN (VERSION 2023-1) ****************7200 1451 1 451 211 37200 1451 23 501 4212 37200 1451 23 502 160 37200 1451 23 504 133 37200 1451 23 515 72 37200 1451 23 516 146 37200 1451 23 517 97 37200 1451 23 522 3818 37200 1451 23 534 138 37200 1451 23 535 159 37200 1451 23 536 172 37200 1451 23 537 177 37200 1451 23 538 176 37200 1451 23 539 186 37200 1451 23 540 194 37200 1451 23 541 225 37200 1451 23 542 223 37200 1451 23 543 189 37200 1451 23 544 197 37200 1451 23 545 207 37200 1451 23 546 244 37200 1451 23 547 247 37200 1451 23 548 295 37200 1451 23 549 292 37200 1451 23 550 210 37200 1451 23 551 234 37200 1451 23 552 242 37200 1451 23 553 282 37200 1451 23 554 283 37200 1451 23 559 243 37200 1451 27 502 346 37200 1451 27 504 149 37200 1451 27 505 147 37200 1451 27 506 147 37200 1451 7200 1 0 7200 0 0 72000.0000 176.957000 0 0 0 0720023501 0.0 0.0 0 0 1 12625720023501 12625 2 720023501 1.00000000 1.75574E-4 1.05924839 2.25880E-4 1.10597719 2.65565E-4720023501 1.12500000 2.81723E-4 1.14237171 3.02849E-4 1.19922131 3.71993E-4720023501 1.25890000 4.44592E-4 1.26562500 4.52774E-4 1.33350268 5.71277E-4720023501 1.39234189 6.74015E-4 1.42382813 7.28999E-4 1.43816887 7.65031E-4720023501 1.50975292 9.44906E-4 1.58490000 .001133756 1.60180664 .001176249720023501 1.67881736 .001455684 1.75288991 .001724482 1.80203247 .001902826720023501 1.81058131 .001947810 1.90069801 .002422028 1.99530000 .002919883720023501 2.02728653 .003088229 2.11352184 .003749948 2.20676274 .004465463720023501 2.27938308 .005022762 2.28069735 .005032849 2.39281892 .006296535720023501 2.51190000 .007638714 2.56578451 .008246081 2.66074055 .009833146720023501 2.77813064 .011795226 2.86955971 .013323426 2.88650758 .013606711720023501 3.01237592 .016767309 3.16230000 .020532040 3.24732103 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