84-Po 2025 Evaluated Photon Data Library (EPDL) by D.E. Cullen 2023 0 0 84000.0000 207.205000 -1 0 0 38400 1451 0.0 0.0 0 0 0 68400 1451 0.0 1.0000E+11 0 0 3 68400 1451 0.0 0.0 1 0 175 368400 1451 84-Po- 0 NDS,IAEA Eval-Aug23 D.E.Cullen, et al. 8400 1451 NDS-IAEA-225 Dist-Jan25 8400 1451 ---- ENDF/B-VI MATERIAL 8400 8400 1451 ----- PHOTO-ATOMIC INTERACTION DATA 8400 1451 ------ ENDF/B-6 8400 1451 =================================================================8400 1451 The Livermore Evaluated Photon Data Library (EPDL97) in the 8400 1451 ENDF-6 Format. 8400 1451 =================================================================8400 1451 Contents 8400 1451 =================================================================8400 1451 MF/MT Description 8400 1451 =================================================================8400 1451 23/501 Total cross sections 8400 1451 23/502 Coherent scattering cross sections 8400 1451 23/504 Incoherent scattering cross sections 8400 1451 23/515 Pair production cross sections, Electron field 8400 1451 23/516 Pair production cross sections, Total 8400 1451 23/517 Pair production cross sections, Nuclear field 8400 1451 23/522 Total photoionization cross section 8400 1451 23/534 K (1S1/2) Photoionization subshell cross section 8400 1451 23/535 L1 (2S1/2) Photoionization subshell cross section 8400 1451 23/536 L2 (2P1/2) Photoionization subshell cross section 8400 1451 23/537 L3 (2P3/2) Photoionization subshell cross section 8400 1451 23/538 M1 (3S1/2) Photoionization subshell cross section 8400 1451 23/539 M2 (3P1/2) Photoionization subshell cross section 8400 1451 23/540 M3 (3P3/2) Photoionization subshell cross section 8400 1451 23/541 M4 (3D3/2) Photoionization subshell cross section 8400 1451 23/542 M5 (3D5/2) Photoionization subshell cross section 8400 1451 23/543 N1 (4S1/2) Photoionization subshell cross section 8400 1451 23/544 N2 (4P1/2) Photoionization subshell cross section 8400 1451 23/545 N3 (4P3/2) Photoionization subshell cross section 8400 1451 23/546 N4 (4D3/2) Photoionization subshell cross section 8400 1451 23/547 N5 (4D5/2) Photoionization subshell cross section 8400 1451 23/548 N6 (4F5/2) Photoionization subshell cross section 8400 1451 23/549 N7 (4F7/2) Photoionization subshell cross section 8400 1451 23/550 O1 (5S1/2) Photoionization subshell cross section 8400 1451 23/551 O2 (5P1/2) Photoionization subshell cross section 8400 1451 23/552 O3 (5P3/2) Photoionization subshell cross section 8400 1451 23/553 O4 (5D3/2) Photoionization subshell cross section 8400 1451 23/554 O5 (5D5/2) Photoionization subshell cross section 8400 1451 23/559 P1 (6S1/2) Photoionization subshell cross section 8400 1451 23/560 P2 (6P1/2) Photoionization subshell cross section 8400 1451 23/561 P3 (6P3/2) Photoionization subshell cross section 8400 1451 =================================================================8400 1451 27/502 Coherent scattering form factors 8400 1451 27/504 Incoherent scattering functions 8400 1451 27/505 Imaginary anomalous scattering factor 8400 1451 27/506 Real anomalous scattering factor 8400 1451 =================================================================8400 1451 Warning 8400 1451 =================================================================8400 1451 MF/MT combinations used to define photoionization subshell cross8400 1451 sections (MF=23, MT=534-572) and coherent anomalous scattering 8400 1451 factors (MF=27, MT=505 AND 506) are newly defined MF/MT numbers 8400 1451 for ENDF/B-VI that did not exist in earlier versions of ENDF/B. 8400 1451 If you are not prepared to use this data you need merely delete 8400 1451 it and all of the remaining data will still be consistent and 8400 1451 equivalent to the types of data in earlier versions of ENDF/B. 8400 1451 However, this will limit the range of problems to which this 8400 1451 data can be applied (see: ref. 1 for details). 8400 1451 =================================================================8400 1451 Definition of new types of data 8400 1451 =================================================================8400 1451 1) The total photoionization cross section is equal to the sum 8400 1451 of the photoionization subshell cross sections. 8400 1451 8400 1451 For each subshell on the second line of a section the C1 and 8400 1451 C2 fields are defined as, 8400 1451 8400 1451 EPE = The photoionization edge energy (similar to Q-value) 8400 1451 EFL = The fluorescence yield (eV/photoionization) 8400 1451 8400 1451 2) The angular distribution of coherently scattered photons is, 8400 1451 8400 1451 S(E,MU) = 3*T/8*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 8400 1451 8400 1451 S(E,MU) = Angular distributions (barns per unit cosine) 8400 1451 T = The Thomson cross section 8400 1451 MU = The cosine of the scattering angle 8400 1451 FF(M) = The atomic form factor 8400 1451 M = Momentum transfer = SIN(THETA/2)/LAMBDA/4*PI 8400 1451 F1(E) = The real anomalous scattering factor 8400 1451 F2(E) = The imaginary anomalous scattering factor 8400 1451 8400 1451 F1(E) and F2(E) are isotropic. 8400 1451 8400 1451 When F1(E) = F2(E) = 0 this reduces to the result obtained 8400 1451 using only form factors (the older ENDF/B convention). 8400 1451 =================================================================8400 1451 Differences between EPDL97 and the data base presented here 8400 1451 =================================================================8400 1451 1) Energy range - EPDL97 - 1 eV to 100 GeV 8400 1451 Here - 1 eV TO 100 GeV (previously 100 MeV) 8400 1451 2) Type of Data - EPDL97 - Photon interaction including 8400 1451 photoexcitation 8400 1451 Here - Photon interaction - ENDF/B-VI has 8400 1451 no provision for photoexcitation 8400 1451 3) Secondary E - EPDL97 - Average energy of each secondary 8400 1451 (photons, electrons, positrons) 8400 1451 HERE - No secondary energy data 8400 1451 4) Interpolation- EPDL97 - Cross sections are Log X vs. Log Y 8400 1451 interpolable - the total cross 8400 1451 section is not included 8400 1451 - Form factors and scattering functions 8400 1451 are Log X vs. Log y, except first 8400 1451 interval. 8400 1451 - Anomalous scattering factors linearly 8400 1451 interpolable (they can be negative) 8400 1451 Here - Up through ENDF/B-V photon interaction8400 1451 cross sections were Log X vs. Log Y. 8400 1451 - For the first two Mods. of ENDF/B-VI 8400 1451 in order to consistently define the 8400 1451 total cross sections at ALL energies 8400 1451 all cross sections were linearized. 8400 1451 This was NOT a good idea. 8400 1451 - Starting with Mod. 3, cross sections 8400 1451 are left in Log X vs. Log. Y form so 8400 1451 that they are IDENTICAL to what's in 8400 1451 EPDL97. 8400 1451 The total is defined ONLY at the 8400 1451 energies tabulated in any other cross 8400 1451 section. 8400 1451 WARNING - As a result the total cross section 8400 1451 MUST NOT be interpolated to define the8400 1451 total between tabulated energies. The 8400 1451 ONLY consist way to define the total 8400 1451 between tabulated energies is to 8400 1451 interpolate all of the partials and 8400 1451 add them up. 8400 1451 =================================================================8400 1451 References 8400 1451 =================================================================8400 1451 1) D.E. Cullen, M.H. Chen, J.H. Hubbell, S.T. Perkins, 8400 1451 E.F. Plechaty, J.A. Rathkopf and J.H. Scofield, Tables and 8400 1451 graphs of photon interaction cross sections from 10 eV to 100 8400 1451 GeV derived from the LLNL Evaluated Photon data library (EPDL), 8400 1451 UCRL-50400, Vol. 6, Rev. 4, Part A: Z = 1 to 50 and Part B: 8400 1451 Z = 51 to 100, Lawrence Livermore National Laboratory (1989) 8400 1451 2) D.E. Cullen, J.H. Hubbell and L.D. Kissel, EPDL97: the 8400 1451 Evaluated Photon Data Library, '97 Version, UCRL-50400, Vol. 6, 8400 1451 Rev. 5, Lawrence Livermore National Laboratory (1997) 8400 1451 3) D.E. Cullen "A Survey of Atomic Binding Energies for use 8400 1451 in EPICS2017" ,IAEA-NDS-224, (2017), Nuclear Data Section, 8400 1451 IAEA, Vienna, Austria 8400 1451 4) D.E. Cullen "A Survey of Photon Cross Section Data for use 8400 1451 in EPICS2017" ,IAEA-NDS-225, (2017), Nuclear Data Section, 8400 1451 IAEA, Vienna, Austria 8400 1451 5) D.E. Cullen,"EPICS2017: April 2019 Status Report", 8400 1451 IAEA-NDS-228, April 2019, Nuclear Data Section, 8400 1451 IAEA, Vienna, Austria. 8400 1451 6) D.E. Cullen,"EPICS2023: August 2023 Status Report", 8400 1451 IAEA-NDS-242, August 2023, Nuclear Data Section, 8400 1451 IAEA, Vienna, Austria. 8400 1451 8400 1451 These are the primary references to the contents of this library8400 1451 and they contain a complete list of references to the sources 8400 1451 of data used in this library, methods of evaluation, accuracy 8400 1451 of the data, etc. 8400 1451 =================================================================8400 1451 History 8400 1451 =================================================================8400 1451 1) Oct. 1989 - Initial Release 8400 1451 2) Aug. 1990 - Updated Photoelectic (total+shellS) 8400 1451 3) July 1997 - Complete re-evaluation 8400 1451 4) Sept.2014 - Updated based on recently published data. 8400 1451 - Insured Standard C, C++, FORTRAN format 8400 1451 5) Nov. 2017 - New Binding Energies (see, ref. 3) 8400 1451 - New Photoelectric and Coherent Cross Sections 8400 1451 - New Anomalous Scattering Factors (see, ref. 4) 8400 1451 - ALL Cross Sections Lin-Lin Interpolable 8400 1451 6) Aug. 2023 - Delete repeated points. Threshold start with XC=0.8400 1451 =================================================================8400 1451 ***************** Program FIXUP (Version 2023-2) ****************8400 1451 **************** Program DICTIN (VERSION 2023-1) ****************8400 1451 1 451 215 38400 1451 23 501 4183 38400 1451 23 502 150 38400 1451 23 504 135 38400 1451 23 515 72 38400 1451 23 516 145 38400 1451 23 517 96 38400 1451 23 522 3807 38400 1451 23 534 132 38400 1451 23 535 153 38400 1451 23 536 164 38400 1451 23 537 172 38400 1451 23 538 170 38400 1451 23 539 179 38400 1451 23 540 187 38400 1451 23 541 213 38400 1451 23 542 215 38400 1451 23 543 185 38400 1451 23 544 189 38400 1451 23 545 201 38400 1451 23 546 229 38400 1451 23 547 227 38400 1451 23 548 291 38400 1451 23 549 291 38400 1451 23 550 201 38400 1451 23 551 217 38400 1451 23 552 222 38400 1451 23 553 280 38400 1451 23 554 281 38400 1451 23 559 227 38400 1451 23 560 254 38400 1451 23 561 261 38400 1451 27 502 333 38400 1451 27 504 149 38400 1451 27 505 136 38400 1451 27 506 136 38400 1451 8400 1 0 8400 0 0 84000.0000 207.205000 0 0 0 0840023501 0.0 0.0 0 0 1 12539840023501 12539 2 840023501 1.00000000 6.50537E-4 1.05924839 8.37817E-4 1.10597719 9.85531E-4840023501 1.12500000 .001045667 1.14237171 .001124364 1.19922131 .001381914840023501 1.25890000 .001652290 1.26562500 .001682759 1.33350268 .002124317840023501 1.39234189 .002507089 1.42382813 .002711924 1.43816887 .002846199840023501 1.50975292 .003516469 1.58490000 .004220117 1.60180664 .004378428840023501 1.67881736 .005419493 1.75288991 .006420857 1.80203247 .007085209840023501 1.81058131 .007252715 1.90069801 .009018475 1.99530000 .010872146840023501 2.02728653 .011498914 2.11352184 .013960455 2.20676274 .016621996840023501 2.27938308 .018694945 2.28069735 .018732461 2.39281892 .023425678840023501 2.51190000 .028410247 2.56578451 .030665799 2.66074055 .036544996840023501 2.77813064 .043813240 2.86955971 .049474127 2.88650758 .050523471840023501 3.01237592 .062183894 3.16230000 .076072900 3.24732103 .083949312840023501 3.34967810 .098358376 3.49746259 .119162445 3.61256426 .135365698840023501 3.65323615 .141091236 3.79235805 .171490728 3.98110000 .212732786840023501 4.10989067 .240874951 4.21699334 .278007404 4.40304158 .342510368840023501 4.54794485 .392748432 4.60775434 .413484456 4.77428998 .502729306840023501 5.01190000 .630062395 5.04338505 .646934977 5.30887201 .854950590840023501 5.42456192 .945596591 5.54309280 1.07580782 5.72551517 1.27620668840023501 5.75809168 1.31199341 6.01046675 1.68809431 6.04993022 1.74690462840023501 6.30960000 2.33852798 6.56064766 2.91050722 6.68346399 3.37331473840023501 6.94368575 4.35390597 6.97832917 4.55458208 7.20798427 5.88488659840023501 7.23096431 6.01800123 7.44642323 7.82488130 7.56671537 9.21184744840023501 7.60801742 9.68805935 7.85040871 13.9260386 7.94330000 16.4516009840023501 7.97160436 17.2211502 8.09280000 22.0958207 8.09312930 22.1124117840023501 8.09575596 22.2455739 8.09965760 22.4462222 8.10351370 22.6479407840023501 8.10732478 22.8507392 8.11109138 23.0546296 8.11481401 23.2596246840023501 8.11849319 23.4657377 8.12212942 23.6729834 8.12572320 23.8813771840023501 8.12927504 24.0909349 8.13278541 24.3016741 8.13625480 24.5136127840023501 8.13968370 24.7267700 8.14307257 24.9411663 8.14642625 25.1571078840023501 8.15083978 25.4472186 8.15518462 25.7396756 8.15946184 26.0345367840023501 8.16367248 26.3318648 8.16781760 26.6317257 8.17189819 26.9341884840023501 8.17591528 27.2393247 8.17986985 27.5472091 8.18376286 27.8579189840023501 8.18759529 28.1715350 8.19136807 28.4881668 8.19691742 28.9687483840023501 8.20233773 29.4565024 8.20763199 29.9516559 8.21280312 30.4544494840023501 8.21785401 30.9651054 8.22278744 31.4837531 8.22601249 31.8345757840023501 8.23233730 32.5488511 8.23846600 33.2784319 8.24440467 34.0231295840023501 8.25015922 34.7828079 8.25573533 35.5572155 8.26113856 36.3467080840023501 8.26893091 37.5517091 8.27636366 38.7841819 8.28345343 40.0391747840023501 8.29025124 41.3202898 8.29884907 43.0425336 8.30691792 44.7741050840023501 8.31449035 46.5039531 8.32498450 49.0278403 8.33462460 51.5009227840023501 8.34617396 54.5952517 8.36092947 58.6510927 8.37711788 63.1012315840023501 8.39529611 67.8010181 8.41396545 71.3793974 8.43000000 74.4527627840023501 8.43000000 47236775.9 8.43044993 47232242.7 8.46560375 46878054.7840023501 8.49421391 46589793.1 8.51138000 46416834.9 8.52377097 46287408.2840023501 8.56733297 45832391.0 8.61180252 45367894.6 8.65627207 44903400.5840023501 8.70963552 44346009.2 8.72733237 44173428.7 8.78517756 43609322.7840023501 8.79839267 43480449.0 8.86436617 42837081.0 8.91250900 42367599.4840023501 8.95000000 42002677.7 8.95000000 67938000.9 8.95218818 67912640.0840023501 8.99186735 67452757.4 9.05170277 66759258.0 9.07429530 66497406.4840023501 9.12863403 65867610.4 9.18601359 65242869.0 9.29718649 64032435.7840023501 9.35000000 63457411.1 9.40141109 62903485.0 9.52590957 61562084.0840023501 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14366.2595 46210.1013 14383.0687 46066.8750 14391.4784 45995.2827840023522 14416.1777 45785.7542 14418.6872 45764.4686 14442.3236 45563.9891840023522 14470.0099 45329.4309 14480.2185 45242.9584 14490.9890 45151.7907840023522 14511.7186 44977.5602 14516.9374 44933.7008 14561.2713 44562.1591840023522 14573.6281 44458.6131 14587.0417 44346.7007 14589.4429 44326.7262840023522 14621.7700 44074.0452 14646.6566 43879.9422 14672.4957 43678.4849840023522 14686.7301 43567.5143 14718.0966 43323.0237 14723.3884 43281.7837840023522 14754.5420 43039.9049 14754.5424 43039.9018 14760.3383 42995.1628840023522 14791.0800 42758.7745 14814.6361 42577.7981 14855.0788 42267.1180840023522 14889.7530 42001.4802 14904.7095 41886.9984 14962.3555 41449.2956840023522 14962.3600 41449.2614 14994.6923 41203.8270 14997.0492 41185.9970840023522 15000.0000 41163.7597 15005.4805 41124.3244 15030.1323 40947.0608840023522 15048.7322 40814.0701 15062.2758 40717.2442 15066.7031 40685.6220840023522 15068.5759 40672.2470 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