82-Pb 2025 Evaluated Photon Data Library (EPDL) by D.E. Cullen 2023 0 0 82000.0000 205.420000 -1 0 0 38200 1451 0.0 0.0 0 0 0 68200 1451 0.0 1.0000E+11 0 0 3 68200 1451 0.0 0.0 1 0 175 368200 1451 82-Pb- 0 NDS,IAEA Eval-Aug23 D.E.Cullen, et al. 8200 1451 NDS-IAEA-225 Dist-Jan25 8200 1451 ---- ENDF/B-VI MATERIAL 8200 8200 1451 ----- PHOTO-ATOMIC INTERACTION DATA 8200 1451 ------ ENDF/B-6 8200 1451 =================================================================8200 1451 The Livermore Evaluated Photon Data Library (EPDL97) in the 8200 1451 ENDF-6 Format. 8200 1451 =================================================================8200 1451 Contents 8200 1451 =================================================================8200 1451 MF/MT Description 8200 1451 =================================================================8200 1451 23/501 Total cross sections 8200 1451 23/502 Coherent scattering cross sections 8200 1451 23/504 Incoherent scattering cross sections 8200 1451 23/515 Pair production cross sections, Electron field 8200 1451 23/516 Pair production cross sections, Total 8200 1451 23/517 Pair production cross sections, Nuclear field 8200 1451 23/522 Total photoionization cross section 8200 1451 23/534 K (1S1/2) Photoionization subshell cross section 8200 1451 23/535 L1 (2S1/2) Photoionization subshell cross section 8200 1451 23/536 L2 (2P1/2) Photoionization subshell cross section 8200 1451 23/537 L3 (2P3/2) Photoionization subshell cross section 8200 1451 23/538 M1 (3S1/2) Photoionization subshell cross section 8200 1451 23/539 M2 (3P1/2) Photoionization subshell cross section 8200 1451 23/540 M3 (3P3/2) Photoionization subshell cross section 8200 1451 23/541 M4 (3D3/2) Photoionization subshell cross section 8200 1451 23/542 M5 (3D5/2) Photoionization subshell cross section 8200 1451 23/543 N1 (4S1/2) Photoionization subshell cross section 8200 1451 23/544 N2 (4P1/2) Photoionization subshell cross section 8200 1451 23/545 N3 (4P3/2) Photoionization subshell cross section 8200 1451 23/546 N4 (4D3/2) Photoionization subshell cross section 8200 1451 23/547 N5 (4D5/2) Photoionization subshell cross section 8200 1451 23/548 N6 (4F5/2) Photoionization subshell cross section 8200 1451 23/549 N7 (4F7/2) Photoionization subshell cross section 8200 1451 23/550 O1 (5S1/2) Photoionization subshell cross section 8200 1451 23/551 O2 (5P1/2) Photoionization subshell cross section 8200 1451 23/552 O3 (5P3/2) Photoionization subshell cross section 8200 1451 23/553 O4 (5D3/2) Photoionization subshell cross section 8200 1451 23/554 O5 (5D5/2) Photoionization subshell cross section 8200 1451 23/559 P1 (6S1/2) Photoionization subshell cross section 8200 1451 23/560 P2 (6P1/2) Photoionization subshell cross section 8200 1451 23/561 P3 (6P3/2) Photoionization subshell cross section 8200 1451 =================================================================8200 1451 27/502 Coherent scattering form factors 8200 1451 27/504 Incoherent scattering functions 8200 1451 27/505 Imaginary anomalous scattering factor 8200 1451 27/506 Real anomalous scattering factor 8200 1451 =================================================================8200 1451 Warning 8200 1451 =================================================================8200 1451 MF/MT combinations used to define photoionization subshell cross8200 1451 sections (MF=23, MT=534-572) and coherent anomalous scattering 8200 1451 factors (MF=27, MT=505 AND 506) are newly defined MF/MT numbers 8200 1451 for ENDF/B-VI that did not exist in earlier versions of ENDF/B. 8200 1451 If you are not prepared to use this data you need merely delete 8200 1451 it and all of the remaining data will still be consistent and 8200 1451 equivalent to the types of data in earlier versions of ENDF/B. 8200 1451 However, this will limit the range of problems to which this 8200 1451 data can be applied (see: ref. 1 for details). 8200 1451 =================================================================8200 1451 Definition of new types of data 8200 1451 =================================================================8200 1451 1) The total photoionization cross section is equal to the sum 8200 1451 of the photoionization subshell cross sections. 8200 1451 8200 1451 For each subshell on the second line of a section the C1 and 8200 1451 C2 fields are defined as, 8200 1451 8200 1451 EPE = The photoionization edge energy (similar to Q-value) 8200 1451 EFL = The fluorescence yield (eV/photoionization) 8200 1451 8200 1451 2) The angular distribution of coherently scattered photons is, 8200 1451 8200 1451 S(E,MU) = 3*T/8*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 8200 1451 8200 1451 S(E,MU) = Angular distributions (barns per unit cosine) 8200 1451 T = The Thomson cross section 8200 1451 MU = The cosine of the scattering angle 8200 1451 FF(M) = The atomic form factor 8200 1451 M = Momentum transfer = SIN(THETA/2)/LAMBDA/4*PI 8200 1451 F1(E) = The real anomalous scattering factor 8200 1451 F2(E) = The imaginary anomalous scattering factor 8200 1451 8200 1451 F1(E) and F2(E) are isotropic. 8200 1451 8200 1451 When F1(E) = F2(E) = 0 this reduces to the result obtained 8200 1451 using only form factors (the older ENDF/B convention). 8200 1451 =================================================================8200 1451 Differences between EPDL97 and the data base presented here 8200 1451 =================================================================8200 1451 1) Energy range - EPDL97 - 1 eV to 100 GeV 8200 1451 Here - 1 eV TO 100 GeV (previously 100 MeV) 8200 1451 2) Type of Data - EPDL97 - Photon interaction including 8200 1451 photoexcitation 8200 1451 Here - Photon interaction - ENDF/B-VI has 8200 1451 no provision for photoexcitation 8200 1451 3) Secondary E - EPDL97 - Average energy of each secondary 8200 1451 (photons, electrons, positrons) 8200 1451 HERE - No secondary energy data 8200 1451 4) Interpolation- EPDL97 - Cross sections are Log X vs. Log Y 8200 1451 interpolable - the total cross 8200 1451 section is not included 8200 1451 - Form factors and scattering functions 8200 1451 are Log X vs. Log y, except first 8200 1451 interval. 8200 1451 - Anomalous scattering factors linearly 8200 1451 interpolable (they can be negative) 8200 1451 Here - Up through ENDF/B-V photon interaction8200 1451 cross sections were Log X vs. Log Y. 8200 1451 - For the first two Mods. of ENDF/B-VI 8200 1451 in order to consistently define the 8200 1451 total cross sections at ALL energies 8200 1451 all cross sections were linearized. 8200 1451 This was NOT a good idea. 8200 1451 - Starting with Mod. 3, cross sections 8200 1451 are left in Log X vs. Log. Y form so 8200 1451 that they are IDENTICAL to what's in 8200 1451 EPDL97. 8200 1451 The total is defined ONLY at the 8200 1451 energies tabulated in any other cross 8200 1451 section. 8200 1451 WARNING - As a result the total cross section 8200 1451 MUST NOT be interpolated to define the8200 1451 total between tabulated energies. The 8200 1451 ONLY consist way to define the total 8200 1451 between tabulated energies is to 8200 1451 interpolate all of the partials and 8200 1451 add them up. 8200 1451 =================================================================8200 1451 References 8200 1451 =================================================================8200 1451 1) D.E. Cullen, M.H. Chen, J.H. Hubbell, S.T. Perkins, 8200 1451 E.F. Plechaty, J.A. Rathkopf and J.H. Scofield, Tables and 8200 1451 graphs of photon interaction cross sections from 10 eV to 100 8200 1451 GeV derived from the LLNL Evaluated Photon data library (EPDL), 8200 1451 UCRL-50400, Vol. 6, Rev. 4, Part A: Z = 1 to 50 and Part B: 8200 1451 Z = 51 to 100, Lawrence Livermore National Laboratory (1989) 8200 1451 2) D.E. Cullen, J.H. Hubbell and L.D. Kissel, EPDL97: the 8200 1451 Evaluated Photon Data Library, '97 Version, UCRL-50400, Vol. 6, 8200 1451 Rev. 5, Lawrence Livermore National Laboratory (1997) 8200 1451 3) D.E. Cullen "A Survey of Atomic Binding Energies for use 8200 1451 in EPICS2017" ,IAEA-NDS-224, (2017), Nuclear Data Section, 8200 1451 IAEA, Vienna, Austria 8200 1451 4) D.E. Cullen "A Survey of Photon Cross Section Data for use 8200 1451 in EPICS2017" ,IAEA-NDS-225, (2017), Nuclear Data Section, 8200 1451 IAEA, Vienna, Austria 8200 1451 5) D.E. Cullen,"EPICS2017: April 2019 Status Report", 8200 1451 IAEA-NDS-228, April 2019, Nuclear Data Section, 8200 1451 IAEA, Vienna, Austria. 8200 1451 6) D.E. Cullen,"EPICS2023: August 2023 Status Report", 8200 1451 IAEA-NDS-242, August 2023, Nuclear Data Section, 8200 1451 IAEA, Vienna, Austria. 8200 1451 8200 1451 These are the primary references to the contents of this library8200 1451 and they contain a complete list of references to the sources 8200 1451 of data used in this library, methods of evaluation, accuracy 8200 1451 of the data, etc. 8200 1451 =================================================================8200 1451 History 8200 1451 =================================================================8200 1451 1) Oct. 1989 - Initial Release 8200 1451 2) Aug. 1990 - Updated Photoelectic (total+shellS) 8200 1451 3) July 1997 - Complete re-evaluation 8200 1451 4) Sept.2014 - Updated based on recently published data. 8200 1451 - Insured Standard C, C++, FORTRAN format 8200 1451 5) Nov. 2017 - New Binding Energies (see, ref. 3) 8200 1451 - New Photoelectric and Coherent Cross Sections 8200 1451 - New Anomalous Scattering Factors (see, ref. 4) 8200 1451 - ALL Cross Sections Lin-Lin Interpolable 8200 1451 6) Aug. 2023 - Delete repeated points. Threshold start with XC=0.8200 1451 =================================================================8200 1451 ***************** Program FIXUP (Version 2023-2) ****************8200 1451 **************** Program DICTIN (VERSION 2023-1) ****************8200 1451 1 451 215 38200 1451 23 501 4076 38200 1451 23 502 155 38200 1451 23 504 135 38200 1451 23 515 72 38200 1451 23 516 145 38200 1451 23 517 96 38200 1451 23 522 3695 38200 1451 23 534 133 38200 1451 23 535 154 38200 1451 23 536 165 38200 1451 23 537 170 38200 1451 23 538 171 38200 1451 23 539 179 38200 1451 23 540 189 38200 1451 23 541 214 38200 1451 23 542 214 38200 1451 23 543 182 38200 1451 23 544 188 38200 1451 23 545 202 38200 1451 23 546 232 38200 1451 23 547 232 38200 1451 23 548 297 38200 1451 23 549 295 38200 1451 23 550 199 38200 1451 23 551 221 38200 1451 23 552 226 38200 1451 23 553 279 38200 1451 23 554 279 38200 1451 23 559 234 38200 1451 23 560 257 38200 1451 23 561 260 38200 1451 27 502 334 38200 1451 27 504 148 38200 1451 27 505 141 38200 1451 27 506 141 38200 1451 8200 1 0 8200 0 0 82000.0000 205.420000 0 0 0 0820023501 0.0 0.0 0 0 1 12219820023501 12219 2 820023501 1.00000000 2.26177E-4 1.05924839 2.91108E-4 1.10597719 3.42326E-4820023501 1.12500000 3.63179E-4 1.14237171 3.90449E-4 1.19922131 4.79698E-4820023501 1.25890000 5.73400E-4 1.26562500 5.83961E-4 1.33350268 7.36910E-4820023501 1.39234189 8.69505E-4 1.42382813 9.40465E-4 1.43816887 9.86960E-4820023501 1.50975292 .001219059 1.58490000 .001462727 1.60180664 .001517552820023501 1.67881736 .001877965 1.75288991 .002224647 1.80203247 .002454659820023501 1.81058131 .002512643 1.90069801 .003123904 1.99530000 .003765616820023501 2.02728653 .003982600 2.11352184 .004834863 2.20676274 .005756393820023501 2.27938308 .006474141 2.28069735 .006487131 2.39281892 .008113047820023501 2.51190000 .009839927 2.56578451 .010621367 2.66074055 .012660896820023501 2.77813064 .015182326 2.86955971 .017146167 2.88650758 .017510203820023501 3.01237592 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3.90087697 7.14901546 3.93702311820023501 7.15217867 3.97342248 7.15530496 4.01007897 7.15839475 4.04699669820023501 7.16144848 4.08417992 7.16446656 4.12163318 7.16744941 4.15936122820023501 7.17040128 4.19741923 7.17428602 4.24864088 7.17811031 4.30038396820023501 7.18187507 4.35266180 7.18558124 4.40548858 7.18922972 4.45887922820023501 7.19282142 4.51284926 7.19635722 4.56741484 7.19983799 4.62259267820023501 7.20326458 4.67840000 7.20663785 4.73485490 7.20798427 4.75801708820023501 7.20995861 4.79198125 7.21484309 4.87892887 7.21961399 4.96747518820023501 7.22427394 5.05767194 7.22882553 5.14957387 7.23327126 5.24323207820023501 7.23761362 5.33867853 7.24045227 5.40343290 7.24601930 5.53568883820023501 7.25141372 5.67138221 7.25664089 5.81048813 7.26170598 5.95299246820023501 7.26661402 6.09885733 7.27136988 6.24817073 7.27822863 6.47707779820023501 7.28477086 6.71247849 7.29101120 6.95338796 7.29699457 7.20049604820023501 7.30456229 7.53425083 7.31166441 7.87162512 7.31832959 8.21036395820023501 7.32756643 8.70688300 7.33605154 9.19637819 7.34621718 9.81221172820023501 7.35920483 10.6245450 7.37345370 11.5230000 7.38945399 12.4812856820023501 7.41978322 13.8521763 7.42000000 13.8568370 7.42000000 26589068.1820023501 7.45011245 26397224.7 7.48266731 26189820.1 7.50807391 26027956.1820023501 7.54438417 25796625.1 7.56671537 25654354.2 7.58836303 25516438.0820023501 7.59106879 25499199.8 7.63234190 25247240.0 7.67361500 24995280.4820023501 7.69967278 24835242.7 7.72195371 24698401.3 7.82591818 24087591.9820023501 7.89768848 23665929.1 7.92252453 23523714.3 7.93638291 23448470.7820023501 7.94330000 23410914.6 8.12830500 22406436.3 8.12969618 22399097.3820023501 8.27468114 21634244.2 8.31763751 21407632.3 8.41395139 20919936.9820023501 8.41396545 20919868.1 8.46252545 20682381.2 8.49215857 20543724.1820023501 8.60089728 20034922.0 8.68460329 19643251.0 8.70963600 19531998.4820023501 8.78517756 19197787.9 8.91250900 18634449.0 8.96396178 18413197.3820023501 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85728.4517 571.687428 85743.6341 571.409259 85862.4439 569.232444820023522 85886.6769 568.798083 85914.0371 568.307997 85945.3255 567.748054820023522 86076.5672 565.399690 86153.0095 564.032465 86286.8714 561.638589820023522 86444.5585 558.818670 86479.7517 558.192228 86509.5930 557.661151820023522 86600.6286 556.041017 86676.6700 554.707397 86731.3578 553.748283820023522 86768.4590 553.097606 86772.3120 553.030968 86942.7508 550.083613820023522 86957.3369 549.831476 87143.3713 546.615677 87145.0934 546.585910820023522 87248.6976 544.796173 87262.8962 544.550898 87308.4163 543.764866820023522 87388.2083 542.388091 87429.4821 541.676035 87552.7189 539.549993820023522 87578.1726 539.112716 87675.9731 537.432801 87840.5513 534.618480820023522 87862.4366 534.244839 87876.2854 534.009552 87941.0508 532.909586820023522 87964.2565 532.522195 87983.5769 532.199664 88011.0000 531.754009820023522 88011.0000 2502.77718 88064.3492 2499.00349 88068.0132 2498.74433820023522 88149.2848 2493.01480 88190.6897 2490.09606 88235.4188 2486.94300820023522 88288.4979 2483.20133 88290.0000 2483.09544 88341.5996 2479.57699820023522 88389.9247 2476.28249 88494.1254 2469.17936 88495.2257 2469.10436820023522 88547.0498 2465.57174 89123.4074 2426.29311 89137.1299 2425.35793820023522 89257.1380 2417.17969 89274.2908 2416.01077 89295.6126 2414.55780820023522 89312.1304 2413.43229 89369.1406 2409.55068 89459.7302 2403.38278820023522 89474.6718 2402.36554 89513.2484 2399.73929 89533.5813 2398.35938820023522 89673.9112 2388.84391 89675.9045 2388.70875 90031.3455 2364.60734820023522 90032.9780 2364.49713 90044.8385 2363.69754 90115.6329 2358.92486820023522 90141.5137 2357.18008 90157.1100 2356.12867 90251.7750 2349.77741820023522 90373.0903 2342.09984 90383.8301 2341.42016 90403.9879 2340.14455820023522 90474.4294 2335.68690 90559.2548 2330.31942 90623.8463 2326.23571820023522 90629.5046 2325.87798 90727.2193 2319.70179 90741.2570 2318.81456820023522 90757.0916 2317.81375 90903.9696 2308.53294 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2123.83601820023522 94033.9938 2116.44347 94257.3876 2103.09332 94283.5589 2101.52946820023522 94406.0900 2094.21329 94512.1573 2087.88528 94567.5597 2084.58052820023522 94637.0316 2080.43663 94644.1455 2080.01231 94669.6073 2078.49415820023522 94673.2750 2078.27546 94678.2013 2077.98175 94709.1627 2076.13824820023522 94776.9771 2072.11608 94899.1177 2064.87178 94943.1550 2062.26011820023522 95000.0000 2058.88888 95065.4384 2055.42654 95122.8582 2052.39694820023522 95126.8698 2052.18528 95130.0070 2052.01975 95155.5471 2050.67220820023522 95389.9350 2038.30544 95445.5770 2035.36969 95712.0028 2021.39752820023522 95887.0426 2012.22010 95918.1910 2010.58701 95977.7470 2007.46481820023522 95994.1542 2006.60469 96042.5472 2004.06785 96135.3921 1999.20076820023522 96145.0040 1998.69690 96323.4048 1989.34659 96350.5922 1987.92165820023522 96362.1015 1987.31848 96394.9173 1985.60030 96487.1492 1980.78368820023522 96539.9446 1978.02656 96605.0900 1974.62566 96671.3290 1971.17917820023522 96789.2273 1965.04481 96848.6917 1961.95363 96878.5000 1960.40601820023522 96979.3793 1955.16847 97042.6034 1952.06099 97284.1264 1940.19030820023522 97353.4680 1936.78227 97395.3813 1934.72230 97438.7797 1932.58950820023522 97596.8694 1924.82027 97628.8338 1923.24971 97638.8319 1922.75847820023522 97700.5776 1919.72494 97723.7200 1918.59084 97752.4449 1917.18342820023522 97942.5963 1907.86669 97968.2332 1906.61411 98138.5861 1898.29122820023522 98138.9913 1898.27142 98213.3569 1894.63823 98229.8938 1893.83031820023522 98246.4409 1893.02224 98295.6266 1890.63639 98509.2143 1880.28525820023522 98706.5728 1870.72079 98712.0827 1870.45378 98780.1631 1867.15689820023522 98788.6497 1866.74594 98855.3100 1863.52154 98953.7253 1858.76115820023522 98982.2985 1857.37905 99000.0000 1856.52580 99041.0749 1854.56452820023522 99049.9995 1854.13844 99177.3091 1848.06060 99255.9621 1844.30574820023522 99426.0120 1836.20904 99535.1551 1831.01234 99671.7420 1824.50896820023522 99789.7668 1818.88946 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