86-Rn 2025 Evaluated Photon Data Library (EPDL) by D.E. Cullen 2023 0 0 86000.0000 220.111000 -1 0 0 38600 1451 0.0 0.0 0 0 0 68600 1451 0.0 1.0000E+11 0 0 3 68600 1451 0.0 0.0 1 0 175 368600 1451 86-Rn- 0 NDS,IAEA Eval-Aug23 D.E.Cullen, et al. 8600 1451 NDS-IAEA-225 Dist-Jan25 8600 1451 ---- ENDF/B-VI MATERIAL 8600 8600 1451 ----- PHOTO-ATOMIC INTERACTION DATA 8600 1451 ------ ENDF/B-6 8600 1451 =================================================================8600 1451 The Livermore Evaluated Photon Data Library (EPDL97) in the 8600 1451 ENDF-6 Format. 8600 1451 =================================================================8600 1451 Contents 8600 1451 =================================================================8600 1451 MF/MT Description 8600 1451 =================================================================8600 1451 23/501 Total cross sections 8600 1451 23/502 Coherent scattering cross sections 8600 1451 23/504 Incoherent scattering cross sections 8600 1451 23/515 Pair production cross sections, Electron field 8600 1451 23/516 Pair production cross sections, Total 8600 1451 23/517 Pair production cross sections, Nuclear field 8600 1451 23/522 Total photoionization cross section 8600 1451 23/534 K (1S1/2) Photoionization subshell cross section 8600 1451 23/535 L1 (2S1/2) Photoionization subshell cross section 8600 1451 23/536 L2 (2P1/2) Photoionization subshell cross section 8600 1451 23/537 L3 (2P3/2) Photoionization subshell cross section 8600 1451 23/538 M1 (3S1/2) Photoionization subshell cross section 8600 1451 23/539 M2 (3P1/2) Photoionization subshell cross section 8600 1451 23/540 M3 (3P3/2) Photoionization subshell cross section 8600 1451 23/541 M4 (3D3/2) Photoionization subshell cross section 8600 1451 23/542 M5 (3D5/2) Photoionization subshell cross section 8600 1451 23/543 N1 (4S1/2) Photoionization subshell cross section 8600 1451 23/544 N2 (4P1/2) Photoionization subshell cross section 8600 1451 23/545 N3 (4P3/2) Photoionization subshell cross section 8600 1451 23/546 N4 (4D3/2) Photoionization subshell cross section 8600 1451 23/547 N5 (4D5/2) Photoionization subshell cross section 8600 1451 23/548 N6 (4F5/2) Photoionization subshell cross section 8600 1451 23/549 N7 (4F7/2) Photoionization subshell cross section 8600 1451 23/550 O1 (5S1/2) Photoionization subshell cross section 8600 1451 23/551 O2 (5P1/2) Photoionization subshell cross section 8600 1451 23/552 O3 (5P3/2) Photoionization subshell cross section 8600 1451 23/553 O4 (5D3/2) Photoionization subshell cross section 8600 1451 23/554 O5 (5D5/2) Photoionization subshell cross section 8600 1451 23/559 P1 (6S1/2) Photoionization subshell cross section 8600 1451 23/560 P2 (6P1/2) Photoionization subshell cross section 8600 1451 23/561 P3 (6P3/2) Photoionization subshell cross section 8600 1451 =================================================================8600 1451 27/502 Coherent scattering form factors 8600 1451 27/504 Incoherent scattering functions 8600 1451 27/505 Imaginary anomalous scattering factor 8600 1451 27/506 Real anomalous scattering factor 8600 1451 =================================================================8600 1451 Warning 8600 1451 =================================================================8600 1451 MF/MT combinations used to define photoionization subshell cross8600 1451 sections (MF=23, MT=534-572) and coherent anomalous scattering 8600 1451 factors (MF=27, MT=505 AND 506) are newly defined MF/MT numbers 8600 1451 for ENDF/B-VI that did not exist in earlier versions of ENDF/B. 8600 1451 If you are not prepared to use this data you need merely delete 8600 1451 it and all of the remaining data will still be consistent and 8600 1451 equivalent to the types of data in earlier versions of ENDF/B. 8600 1451 However, this will limit the range of problems to which this 8600 1451 data can be applied (see: ref. 1 for details). 8600 1451 =================================================================8600 1451 Definition of new types of data 8600 1451 =================================================================8600 1451 1) The total photoionization cross section is equal to the sum 8600 1451 of the photoionization subshell cross sections. 8600 1451 8600 1451 For each subshell on the second line of a section the C1 and 8600 1451 C2 fields are defined as, 8600 1451 8600 1451 EPE = The photoionization edge energy (similar to Q-value) 8600 1451 EFL = The fluorescence yield (eV/photoionization) 8600 1451 8600 1451 2) The angular distribution of coherently scattered photons is, 8600 1451 8600 1451 S(E,MU) = 3*T/8*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 8600 1451 8600 1451 S(E,MU) = Angular distributions (barns per unit cosine) 8600 1451 T = The Thomson cross section 8600 1451 MU = The cosine of the scattering angle 8600 1451 FF(M) = The atomic form factor 8600 1451 M = Momentum transfer = SIN(THETA/2)/LAMBDA/4*PI 8600 1451 F1(E) = The real anomalous scattering factor 8600 1451 F2(E) = The imaginary anomalous scattering factor 8600 1451 8600 1451 F1(E) and F2(E) are isotropic. 8600 1451 8600 1451 When F1(E) = F2(E) = 0 this reduces to the result obtained 8600 1451 using only form factors (the older ENDF/B convention). 8600 1451 =================================================================8600 1451 Differences between EPDL97 and the data base presented here 8600 1451 =================================================================8600 1451 1) Energy range - EPDL97 - 1 eV to 100 GeV 8600 1451 Here - 1 eV TO 100 GeV (previously 100 MeV) 8600 1451 2) Type of Data - EPDL97 - Photon interaction including 8600 1451 photoexcitation 8600 1451 Here - Photon interaction - ENDF/B-VI has 8600 1451 no provision for photoexcitation 8600 1451 3) Secondary E - EPDL97 - Average energy of each secondary 8600 1451 (photons, electrons, positrons) 8600 1451 HERE - No secondary energy data 8600 1451 4) Interpolation- EPDL97 - Cross sections are Log X vs. Log Y 8600 1451 interpolable - the total cross 8600 1451 section is not included 8600 1451 - Form factors and scattering functions 8600 1451 are Log X vs. Log y, except first 8600 1451 interval. 8600 1451 - Anomalous scattering factors linearly 8600 1451 interpolable (they can be negative) 8600 1451 Here - Up through ENDF/B-V photon interaction8600 1451 cross sections were Log X vs. Log Y. 8600 1451 - For the first two Mods. of ENDF/B-VI 8600 1451 in order to consistently define the 8600 1451 total cross sections at ALL energies 8600 1451 all cross sections were linearized. 8600 1451 This was NOT a good idea. 8600 1451 - Starting with Mod. 3, cross sections 8600 1451 are left in Log X vs. Log. Y form so 8600 1451 that they are IDENTICAL to what's in 8600 1451 EPDL97. 8600 1451 The total is defined ONLY at the 8600 1451 energies tabulated in any other cross 8600 1451 section. 8600 1451 WARNING - As a result the total cross section 8600 1451 MUST NOT be interpolated to define the8600 1451 total between tabulated energies. The 8600 1451 ONLY consist way to define the total 8600 1451 between tabulated energies is to 8600 1451 interpolate all of the partials and 8600 1451 add them up. 8600 1451 =================================================================8600 1451 References 8600 1451 =================================================================8600 1451 1) D.E. Cullen, M.H. Chen, J.H. Hubbell, S.T. Perkins, 8600 1451 E.F. Plechaty, J.A. Rathkopf and J.H. Scofield, Tables and 8600 1451 graphs of photon interaction cross sections from 10 eV to 100 8600 1451 GeV derived from the LLNL Evaluated Photon data library (EPDL), 8600 1451 UCRL-50400, Vol. 6, Rev. 4, Part A: Z = 1 to 50 and Part B: 8600 1451 Z = 51 to 100, Lawrence Livermore National Laboratory (1989) 8600 1451 2) D.E. Cullen, J.H. Hubbell and L.D. Kissel, EPDL97: the 8600 1451 Evaluated Photon Data Library, '97 Version, UCRL-50400, Vol. 6, 8600 1451 Rev. 5, Lawrence Livermore National Laboratory (1997) 8600 1451 3) D.E. Cullen "A Survey of Atomic Binding Energies for use 8600 1451 in EPICS2017" ,IAEA-NDS-224, (2017), Nuclear Data Section, 8600 1451 IAEA, Vienna, Austria 8600 1451 4) D.E. Cullen "A Survey of Photon Cross Section Data for use 8600 1451 in EPICS2017" ,IAEA-NDS-225, (2017), Nuclear Data Section, 8600 1451 IAEA, Vienna, Austria 8600 1451 5) D.E. Cullen,"EPICS2017: April 2019 Status Report", 8600 1451 IAEA-NDS-228, April 2019, Nuclear Data Section, 8600 1451 IAEA, Vienna, Austria. 8600 1451 6) D.E. Cullen,"EPICS2023: August 2023 Status Report", 8600 1451 IAEA-NDS-242, August 2023, Nuclear Data Section, 8600 1451 IAEA, Vienna, Austria. 8600 1451 8600 1451 These are the primary references to the contents of this library8600 1451 and they contain a complete list of references to the sources 8600 1451 of data used in this library, methods of evaluation, accuracy 8600 1451 of the data, etc. 8600 1451 =================================================================8600 1451 History 8600 1451 =================================================================8600 1451 1) Oct. 1989 - Initial Release 8600 1451 2) Aug. 1990 - Updated Photoelectic (total+shellS) 8600 1451 3) July 1997 - Complete re-evaluation 8600 1451 4) Sept.2014 - Updated based on recently published data. 8600 1451 - Insured Standard C, C++, FORTRAN format 8600 1451 5) Nov. 2017 - New Binding Energies (see, ref. 3) 8600 1451 - New Photoelectric and Coherent Cross Sections 8600 1451 - New Anomalous Scattering Factors (see, ref. 4) 8600 1451 - ALL Cross Sections Lin-Lin Interpolable 8600 1451 6) Aug. 2023 - Delete repeated points. Threshold start with XC=0.8600 1451 =================================================================8600 1451 ***************** Program FIXUP (Version 2023-2) ****************8600 1451 **************** Program DICTIN (VERSION 2023-1) ****************8600 1451 1 451 215 38600 1451 23 501 4101 38600 1451 23 502 158 38600 1451 23 504 136 38600 1451 23 515 72 38600 1451 23 516 145 38600 1451 23 517 96 38600 1451 23 522 3716 38600 1451 23 534 130 38600 1451 23 535 152 38600 1451 23 536 162 38600 1451 23 537 171 38600 1451 23 538 168 38600 1451 23 539 176 38600 1451 23 540 186 38600 1451 23 541 210 38600 1451 23 542 211 38600 1451 23 543 180 38600 1451 23 544 186 38600 1451 23 545 199 38600 1451 23 546 224 38600 1451 23 547 223 38600 1451 23 548 285 38600 1451 23 549 284 38600 1451 23 550 198 38600 1451 23 551 212 38600 1451 23 552 217 38600 1451 23 553 277 38600 1451 23 554 278 38600 1451 23 559 224 38600 1451 23 560 250 38600 1451 23 561 257 38600 1451 27 502 330 38600 1451 27 504 150 38600 1451 27 505 144 38600 1451 27 506 144 38600 1451 8600 1 0 8600 0 0 86000.0000 220.111000 0 0 0 0860023501 0.0 0.0 0 0 1 12293860023501 12293 2 860023501 1.00000000 4.98498E-4 1.05924839 6.41418E-4 1.10597719 7.54145E-4860023501 1.12500000 8.00038E-4 1.14237171 8.59942E-4 1.19922131 .001055990860023501 1.25890000 .001261804 1.26562500 .001284998 1.33350268 .001620037860023501 1.39234189 .001910475 1.42382813 .002065899 1.43816887 .002167367860023501 1.50975292 .002673874 1.58490000 .003205607 1.60180664 .003325241860023501 1.67881736 .004107852 1.75288991 .004860621 1.80203247 .005360046860023501 1.81058131 .005485124 1.90069801 .006803645 1.99530000 .008187815860023501 2.02728653 .008655835 2.11352184 .010478047 2.20676274 .012448318860023501 2.27938308 .013982874 2.28069735 .014010646 2.39281892 .017445995860023501 2.51190000 .021094618 2.56578451 .022745650 2.66074055 .026986063860023501 2.77813064 .032228348 2.86955971 .036311319 2.88650758 .037068169860023501 3.01237592 .045315608 3.16230000 .055139344 3.24732103 .060710365860023501 3.34967810 .070638207 3.49746259 .084972225 3.61256426 .096136289860023501 3.65323615 .100081197 3.79235805 .120289638 3.98110000 .147705837860023501 4.10989067 .166413734 4.21699334 .190081257 4.40304158 .231194262860023501 4.54794485 .263215103 4.62362701 .279939446 4.77428998 .331691704860023501 5.01190000 .413310153 5.20158038 .478465029 5.30887201 .537130262860023501 5.54309280 .665198366 5.72551517 .764944044 5.83538284 .825018026860023501 6.01046675 .973649715 6.30960000 1.22758922 6.38995998 1.29580831860023501 6.68346399 1.66165092 6.87521498 1.90066208 6.97832917 2.08162784860023501 7.20798427 2.48467351 7.29981311 2.64583358 7.56671537 3.28404697860023501 7.67133647 3.53421576 7.94330000 4.53614419 8.32150235 5.92946266860023501 8.41396545 6.49956011 8.78517756 8.78833386 8.80912677 8.93599696860023501 9.07429530 11.4847150 9.17484507 12.4511685 9.44913381 16.3295742860023501 9.52590957 17.8482868 9.65485035 20.3988835 9.96342518 29.9331501860023501 10.0000000 31.7563321 10.1177126 37.6240711 10.2720000 49.4608249860023501 10.2724180 49.5019362 10.2757519 49.8321183 10.2807042 50.3304081860023501 10.2855986 50.8322799 10.2904360 51.3377733 10.2952168 51.8469330860023501 10.2999419 52.3598070 10.3046118 52.8764458 10.3092271 53.3969022860023501 10.3137886 53.9212319 10.3182969 54.4494934 10.3227525 54.9817480860023501 10.3271562 55.5180598 10.3315084 56.0584964 10.3358098 56.6031287860023501 10.3400665 57.1527567 10.3456685 57.8928554 10.3511833 58.6409065860023501 10.3566123 59.3971088 10.3619568 60.1616752 10.3672181 60.9348284860023501 10.3723975 61.7168012 10.3774963 62.5078349 10.3825157 63.3081799860023501 10.3874570 64.1180945 10.3923214 64.9378495 10.3971101 65.7678017860023501 10.4041538 67.0318487 10.4110337 68.3201647 10.4177535 69.6335326860023501 10.4243171 70.9727799 10.4307281 72.3386822 10.4369900 73.7317346860023501 10.4410835 74.6774477 10.4491114 76.6104210 10.4568904 78.5956164860023501 10.4644282 80.6327282 10.4717323 82.7216102 10.4788100 84.8617637860023501 10.4856682 87.0545532 10.4955588 90.4199093 10.5049930 93.8852486860023501 10.5139919 97.4361259 10.5226202 101.082814 10.5335332 106.014725860023501 10.5437748 111.007578 10.5533863 116.027848 10.5667063 123.398447860023501 10.5789423 130.678890 10.5924839 139.157582 10.5936016 139.857399860023501 10.6123304 151.996981 10.6328780 165.467156 10.6559512 179.855357860023501 10.7000000 200.550007 10.7000000 71833677.4 10.7028149 71799676.2860023501 10.7151900 71650194.6 10.7496787 71203125.5 10.7937416 70631934.3860023501 10.8420834 70005266.5 10.8963673 69301566.2 10.9481836 68629855.6860023501 11.0000000 67958149.0 11.0597719 67182408.7 11.1062500 66579199.9860023501 11.2058594 65286440.2 11.3501100 63414319.0 11.3926270 62861443.0860023501 11.4237171 62457159.0 11.5560486 60736370.0 11.5728691 60517642.7860023501 11.6990425 58982015.7 11.8000000 57753286.4 11.9492819 55912309.1860023501 11.9795638 55538866.2 11.9922131 55391102.1 12.1369614 53700210.1860023501 12.1618600 53409354.6 12.2777211 52063307.2 12.4280177 50317196.4860023501 12.4888605 49665524.1 12.5890000 48592954.7 12.5944303 48534792.1860023501 12.7000000 47404061.2 12.9463897 44839334.5 13.0137300 44138374.0860023501 13.1311821 43027455.7 13.2697763 41716565.6 13.3350268 41099395.3860023501 13.3352100 41097662.5 13.3737220 40750285.9 13.4516812 40047097.4860023501 13.5686201 38992314.3 13.6270895 38464923.6 13.6458274 38295909.0860023501 13.6855590 37969566.0 13.7718777 37260574.9 13.8006506 37024245.3860023501 13.8566919 36563948.6 13.9234189 36015890.8 13.9235595 36014736.0860023501 13.9590759 35723027.5 13.9636800 35685212.3 14.0000000 35398324.1860023501 14.0000000 69159672.2 14.0123504 69042707.0 14.0389877 68790436.5860023501 14.0656250 68538165.4 14.1349387 67881714.9 14.1500000 67739072.0860023501 14.1660865 67574040.7 14.1848310 67392465.9 14.3049121 66229251.5860023501 14.3440093 65850518.9 14.3816887 65485521.0 14.4209819 65104890.2860023501 14.4544000 64781171.5 14.4752105 64565592.7 14.4955491 64367775.6860023501 14.5677861 63665185.3 14.6377657 62984551.1 14.6716621 62654868.6860023501 14.7050289 62330337.2 14.7060473 62320432.1 14.7378742 62010878.0860023501 14.7910800 61493389.1 14.8000000 61409558.0 14.8025386 61384248.0860023501 14.9278258 60135126.6 15.0452825 58964076.0 15.0487318 58929686.3860023501 15.0975292 58462682.6 15.1500000 57960523.6 15.2449118 57025563.7860023501 15.2655138 56830852.5 15.4582163 55009604.9 15.5000000 54614703.6860023501 15.5439873 54189939.7 15.7954455 51873636.0 15.8489300 51380964.2860023501 15.8490000 51380336.4 15.9000000 50922948.9 16.0786634 49290316.2860023501 16.1509694 48649786.6 16.2824102 47515531.1 16.3012895 47358930.5860023501 16.4059000 46491204.0 16.5542114 45246056.7 16.6451991 44482170.3860023501 16.6916810 44107968.4 16.7881736 43356187.4 16.9225857 42308972.8860023501 16.9824400 41857023.4 17.1336551 40715728.5 17.2782635 39659091.9860023501 17.4552053 38411246.7 17.5059102 38067268.7 17.5288991 37911313.8860023501 17.5792400 37569805.1 17.7827900 36208065.6 17.9887112 34869234.8860023501 18.0016542 34789195.6 18.1058131 34168115.8 18.2046871 33578548.9860023501 18.4077200 32367902.9 18.4193108 32300107.8 18.6749159 30868687.6860023501 18.7927016 30235792.8 19.0069801 29127123.4 19.0829993 28733802.8860023501 19.1256225 28523955.6 19.4217628 27113753.4 19.5000000 26751514.1860023501 19.5923224 26336044.6 19.6846447 25920575.6 19.7683285 25553084.4860023501 19.9175835 24918236.0 19.9530000 24772225.8 20.0232389 24482654.7860023501 20.2652018 23514734.2 20.3318787 23258632.4 20.6482456 22086355.7860023501 20.7267909 21805791.2 20.9294204 21118437.7 21.1320499 20431084.5860023501 21.1352184 20420799.4 21.1392978 20407557.4 21.5069704 19267174.5860023501 21.6271900 18908393.6 21.8339259 18318797.4 21.9722781 17937519.1860023501 22.0676274 17682074.1 22.1240868 17530816.9 22.2787441 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27.0707310 9779321.26 27.3000000 9512839.01 27.4236324 9374331.63860023501 27.5422881 9242297.41 27.6864527 9088647.68 27.7813064 8989787.39860023501 27.9616290 8801848.00 28.0220566 8739372.70 28.0290837 8732337.30860023501 28.3873594 8383784.66 28.5101800 8268321.35 28.6389224 8148142.30860023501 28.6955971 8096899.84 28.9442621 7872069.22 29.0904178 7745264.27860023501 29.1049931 7732719.62 29.5120900 7394098.21 29.6078048 7318126.89860023501 29.8183593 7152175.10 29.8968184 7092817.38 30.0680614 6968010.80860023501 30.1237592 6927668.13 30.4766512 6672063.73 30.5492100 6619776.81860023501 30.5657053 6608355.50 30.5822006 6596934.20 30.8387193 6426672.11860023501 30.9920275 6325592.26 31.1065289 6251759.54 31.3847551 6077921.08860023501 31.4827194 6018419.60 31.5056662 6004586.44 31.6230000 5936210.83860023501 31.9745298 5731358.83 32.0840410 5667887.32 32.1139952 5651066.66860023501 32.3484230 5524691.73 32.6187116 5379836.90 32.7340700 5319468.27860023501 32.9174763 5227818.48 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58884.3700 1974.25315860023522 58957.7517 1967.55875 58982.9423 1965.30029 58988.5458 1964.79838860023522 59081.9849 1956.43789 59086.2606 1956.05541 59159.8810 1949.46979860023522 59199.3412 1945.95817 59317.9768 1935.45052 59380.5755 1929.99938860023522 59387.5037 1929.39607 59394.1140 1928.82047 59414.1633 1927.07499860023522 59424.7441 1926.15386 59544.9548 1915.68892 59566.2100 1913.83891860023522 59567.8937 1913.69250 59603.3173 1910.61295 59742.5564 1898.50845860023522 59759.4021 1897.04401 59803.0448 1893.25109 59844.9162 1889.66639860023522 59867.0050 1887.78292 60009.2247 1875.65652 60082.7828 1869.38460860023522 60111.7486 1866.91707 60125.2835 1865.76409 60255.9600 1854.64318860023522 60255.9629 1854.64293 60293.4967 1851.45462 60385.2937 1843.68637860023522 60414.3003 1841.23172 60421.3045 1840.64939 60457.8664 1837.67442860023522 60497.5311 1834.44705 60552.6119 1829.98806 60581.6805 1827.68017860023522 60593.0041 1826.78139 60624.5746 1824.27615 60626.5337 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