40-Zr 2025 Evaluated Photon Data Library (EPDL) by D.E. Cullen 2023 0 0 40000.0000 90.4364000 -1 0 0 34000 1451 0.0 0.0 0 0 0 64000 1451 0.0 1.0000E+11 0 0 3 64000 1451 0.0 0.0 1 0 166 274000 1451 40-Zr- 0 NDS,IAEA Eval-Aug23 D.E.Cullen, et al. 4000 1451 NDS-IAEA-225 Dist-Jan25 4000 1451 ---- ENDF/B-VI MATERIAL 4000 4000 1451 ----- PHOTO-ATOMIC INTERACTION DATA 4000 1451 ------ ENDF/B-6 4000 1451 =================================================================4000 1451 The Livermore Evaluated Photon Data Library (EPDL97) in the 4000 1451 ENDF-6 Format. 4000 1451 =================================================================4000 1451 Contents 4000 1451 =================================================================4000 1451 MF/MT Description 4000 1451 =================================================================4000 1451 23/501 Total cross sections 4000 1451 23/502 Coherent scattering cross sections 4000 1451 23/504 Incoherent scattering cross sections 4000 1451 23/515 Pair production cross sections, Electron field 4000 1451 23/516 Pair production cross sections, Total 4000 1451 23/517 Pair production cross sections, Nuclear field 4000 1451 23/522 Total photoionization cross section 4000 1451 23/534 K (1S1/2) Photoionization subshell cross section 4000 1451 23/535 L1 (2S1/2) Photoionization subshell cross section 4000 1451 23/536 L2 (2P1/2) Photoionization subshell cross section 4000 1451 23/537 L3 (2P3/2) Photoionization subshell cross section 4000 1451 23/538 M1 (3S1/2) Photoionization subshell cross section 4000 1451 23/539 M2 (3P1/2) Photoionization subshell cross section 4000 1451 23/540 M3 (3P3/2) Photoionization subshell cross section 4000 1451 23/541 M4 (3D3/2) Photoionization subshell cross section 4000 1451 23/542 M5 (3D5/2) Photoionization subshell cross section 4000 1451 23/543 N1 (4S1/2) Photoionization subshell cross section 4000 1451 23/544 N2 (4P1/2) Photoionization subshell cross section 4000 1451 23/545 N3 (4P3/2) Photoionization subshell cross section 4000 1451 23/546 N4 (4D3/2) Photoionization subshell cross section 4000 1451 23/547 N5 (4D5/2) Photoionization subshell cross section 4000 1451 23/550 O1 (5S1/2) Photoionization subshell cross section 4000 1451 =================================================================4000 1451 27/502 Coherent scattering form factors 4000 1451 27/504 Incoherent scattering functions 4000 1451 27/505 Imaginary anomalous scattering factor 4000 1451 27/506 Real anomalous scattering factor 4000 1451 =================================================================4000 1451 Warning 4000 1451 =================================================================4000 1451 MF/MT combinations used to define photoionization subshell cross4000 1451 sections (MF=23, MT=534-572) and coherent anomalous scattering 4000 1451 factors (MF=27, MT=505 AND 506) are newly defined MF/MT numbers 4000 1451 for ENDF/B-VI that did not exist in earlier versions of ENDF/B. 4000 1451 If you are not prepared to use this data you need merely delete 4000 1451 it and all of the remaining data will still be consistent and 4000 1451 equivalent to the types of data in earlier versions of ENDF/B. 4000 1451 However, this will limit the range of problems to which this 4000 1451 data can be applied (see: ref. 1 for details). 4000 1451 =================================================================4000 1451 Definition of new types of data 4000 1451 =================================================================4000 1451 1) The total photoionization cross section is equal to the sum 4000 1451 of the photoionization subshell cross sections. 4000 1451 4000 1451 For each subshell on the second line of a section the C1 and 4000 1451 C2 fields are defined as, 4000 1451 4000 1451 EPE = The photoionization edge energy (similar to Q-value) 4000 1451 EFL = The fluorescence yield (eV/photoionization) 4000 1451 4000 1451 2) The angular distribution of coherently scattered photons is, 4000 1451 4000 1451 S(E,MU) = 3*T/8*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 4000 1451 4000 1451 S(E,MU) = Angular distributions (barns per unit cosine) 4000 1451 T = The Thomson cross section 4000 1451 MU = The cosine of the scattering angle 4000 1451 FF(M) = The atomic form factor 4000 1451 M = Momentum transfer = SIN(THETA/2)/LAMBDA/4*PI 4000 1451 F1(E) = The real anomalous scattering factor 4000 1451 F2(E) = The imaginary anomalous scattering factor 4000 1451 4000 1451 F1(E) and F2(E) are isotropic. 4000 1451 4000 1451 When F1(E) = F2(E) = 0 this reduces to the result obtained 4000 1451 using only form factors (the older ENDF/B convention). 4000 1451 =================================================================4000 1451 Differences between EPDL97 and the data base presented here 4000 1451 =================================================================4000 1451 1) Energy range - EPDL97 - 1 eV to 100 GeV 4000 1451 Here - 1 eV TO 100 GeV (previously 100 MeV) 4000 1451 2) Type of Data - EPDL97 - Photon interaction including 4000 1451 photoexcitation 4000 1451 Here - Photon interaction - ENDF/B-VI has 4000 1451 no provision for photoexcitation 4000 1451 3) Secondary E - EPDL97 - Average energy of each secondary 4000 1451 (photons, electrons, positrons) 4000 1451 HERE - No secondary energy data 4000 1451 4) Interpolation- EPDL97 - Cross sections are Log X vs. Log Y 4000 1451 interpolable - the total cross 4000 1451 section is not included 4000 1451 - Form factors and scattering functions 4000 1451 are Log X vs. Log y, except first 4000 1451 interval. 4000 1451 - Anomalous scattering factors linearly 4000 1451 interpolable (they can be negative) 4000 1451 Here - Up through ENDF/B-V photon interaction4000 1451 cross sections were Log X vs. Log Y. 4000 1451 - For the first two Mods. of ENDF/B-VI 4000 1451 in order to consistently define the 4000 1451 total cross sections at ALL energies 4000 1451 all cross sections were linearized. 4000 1451 This was NOT a good idea. 4000 1451 - Starting with Mod. 3, cross sections 4000 1451 are left in Log X vs. Log. Y form so 4000 1451 that they are IDENTICAL to what's in 4000 1451 EPDL97. 4000 1451 The total is defined ONLY at the 4000 1451 energies tabulated in any other cross 4000 1451 section. 4000 1451 WARNING - As a result the total cross section 4000 1451 MUST NOT be interpolated to define the4000 1451 total between tabulated energies. The 4000 1451 ONLY consist way to define the total 4000 1451 between tabulated energies is to 4000 1451 interpolate all of the partials and 4000 1451 add them up. 4000 1451 =================================================================4000 1451 References 4000 1451 =================================================================4000 1451 1) D.E. Cullen, M.H. Chen, J.H. Hubbell, S.T. Perkins, 4000 1451 E.F. Plechaty, J.A. Rathkopf and J.H. Scofield, Tables and 4000 1451 graphs of photon interaction cross sections from 10 eV to 100 4000 1451 GeV derived from the LLNL Evaluated Photon data library (EPDL), 4000 1451 UCRL-50400, Vol. 6, Rev. 4, Part A: Z = 1 to 50 and Part B: 4000 1451 Z = 51 to 100, Lawrence Livermore National Laboratory (1989) 4000 1451 2) D.E. Cullen, J.H. Hubbell and L.D. Kissel, EPDL97: the 4000 1451 Evaluated Photon Data Library, '97 Version, UCRL-50400, Vol. 6, 4000 1451 Rev. 5, Lawrence Livermore National Laboratory (1997) 4000 1451 3) D.E. Cullen "A Survey of Atomic Binding Energies for use 4000 1451 in EPICS2017" ,IAEA-NDS-224, (2017), Nuclear Data Section, 4000 1451 IAEA, Vienna, Austria 4000 1451 4) D.E. Cullen "A Survey of Photon Cross Section Data for use 4000 1451 in EPICS2017" ,IAEA-NDS-225, (2017), Nuclear Data Section, 4000 1451 IAEA, Vienna, Austria 4000 1451 5) D.E. Cullen,"EPICS2017: April 2019 Status Report", 4000 1451 IAEA-NDS-228, April 2019, Nuclear Data Section, 4000 1451 IAEA, Vienna, Austria. 4000 1451 6) D.E. Cullen,"EPICS2023: August 2023 Status Report", 4000 1451 IAEA-NDS-242, August 2023, Nuclear Data Section, 4000 1451 IAEA, Vienna, Austria. 4000 1451 4000 1451 These are the primary references to the contents of this library4000 1451 and they contain a complete list of references to the sources 4000 1451 of data used in this library, methods of evaluation, accuracy 4000 1451 of the data, etc. 4000 1451 =================================================================4000 1451 History 4000 1451 =================================================================4000 1451 1) Oct. 1989 - Initial Release 4000 1451 2) Aug. 1990 - Updated Photoelectic (total+shellS) 4000 1451 3) July 1997 - Complete re-evaluation 4000 1451 4) Sept.2014 - Updated based on recently published data. 4000 1451 - Insured Standard C, C++, FORTRAN format 4000 1451 5) Nov. 2017 - New Binding Energies (see, ref. 3) 4000 1451 - New Photoelectric and Coherent Cross Sections 4000 1451 - New Anomalous Scattering Factors (see, ref. 4) 4000 1451 - ALL Cross Sections Lin-Lin Interpolable 4000 1451 6) Aug. 2023 - Delete repeated points. Threshold start with XC=0.4000 1451 =================================================================4000 1451 ***************** Program FIXUP (Version 2023-2) ****************4000 1451 **************** Program DICTIN (VERSION 2023-1) ****************4000 1451 1 451 197 34000 1451 23 501 3179 34000 1451 23 502 153 34000 1451 23 504 133 34000 1451 23 515 73 34000 1451 23 516 150 34000 1451 23 517 100 34000 1451 23 522 2788 34000 1451 23 534 161 34000 1451 23 535 185 34000 1451 23 536 207 34000 1451 23 537 209 34000 1451 23 538 205 34000 1451 23 539 223 34000 1451 23 540 228 34000 1451 23 541 284 34000 1451 23 542 283 34000 1451 23 543 224 34000 1451 23 544 249 34000 1451 23 545 253 34000 1451 23 546 317 34000 1451 23 547 314 34000 1451 23 550 268 34000 1451 27 502 377 34000 1451 27 504 151 34000 1451 27 505 139 34000 1451 27 506 139 34000 1451 4000 1 0 4000 0 0 40000.0000 90.4364000 0 0 0 0400023501 0.0 0.0 0 0 1 9526400023501 9526 2 400023501 1.00000000 1.17404E-4 1.05924839 1.50894E-4 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36723.2866 2101.35435 36737.3800 2099.04403 36754.6718 2096.21214400023522 36771.0418 2093.53130 36800.8004 2088.91204 36815.9829 2086.55837400023522 36946.9111 2066.36695 36966.0012 2063.42330 36992.0574 2059.41373400023522 37012.6783 2056.24057 37054.1389 2049.86066 37132.6469 2037.77994400023522 37139.8955 2036.66486 37178.5984 2030.71106 37220.8373 2024.21357400023522 37293.1819 2013.08538 37386.9401 1999.46663 37424.1355 1994.06389400023522 37432.6098 1992.83298 37562.6194 1973.96968 37570.8167 1972.78045400023522 37579.6010 1971.50607 37583.7400 1970.90666 37673.5393 1957.91498400023522 37735.9187 1948.89259 37759.5932 1945.46840 37791.9592 1940.81416400023522 37969.7614 1915.24613 37979.3452 1913.86801 37986.6838 1912.81275400023522 37994.3347 1911.71263 38090.3265 1897.92272 38101.0982 1896.47836400023522 38109.7752 1895.31506 38124.8501 1893.29430 38153.2794 1889.48938400023522 38157.5663 1888.91582 38224.6701 1879.93777 38354.4878 1862.56918400023522 38366.3741 1860.97890 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