68-Er 2025 Evaluated Photon Data Library (EPDL) by D.E. Cullen 2023 0 0 68000.0000 165.823000 -1 0 0 36800 1451 0.0 0.0 0 0 0 66800 1451 0.0 1.0000E+11 0 0 3 66800 1451 0.0 0.0 1 0 171 326800 1451 68-Er- 0 NDS,IAEA Eval-Aug23 D.E.Cullen, et al. 6800 1451 NDS-IAEA-225 Dist-Jan25 6800 1451 ---- ENDF/B-VI MATERIAL 6800 6800 1451 ----- PHOTO-ATOMIC INTERACTION DATA 6800 1451 ------ ENDF/B-6 6800 1451 =================================================================6800 1451 The Livermore Evaluated Photon Data Library (EPDL97) in the 6800 1451 ENDF-6 Format. 6800 1451 =================================================================6800 1451 Contents 6800 1451 =================================================================6800 1451 MF/MT Description 6800 1451 =================================================================6800 1451 23/501 Total cross sections 6800 1451 23/502 Coherent scattering cross sections 6800 1451 23/504 Incoherent scattering cross sections 6800 1451 23/515 Pair production cross sections, Electron field 6800 1451 23/516 Pair production cross sections, Total 6800 1451 23/517 Pair production cross sections, Nuclear field 6800 1451 23/522 Total photoionization cross section 6800 1451 23/534 K (1S1/2) Photoionization subshell cross section 6800 1451 23/535 L1 (2S1/2) Photoionization subshell cross section 6800 1451 23/536 L2 (2P1/2) Photoionization subshell cross section 6800 1451 23/537 L3 (2P3/2) Photoionization subshell cross section 6800 1451 23/538 M1 (3S1/2) Photoionization subshell cross section 6800 1451 23/539 M2 (3P1/2) Photoionization subshell cross section 6800 1451 23/540 M3 (3P3/2) Photoionization subshell cross section 6800 1451 23/541 M4 (3D3/2) Photoionization subshell cross section 6800 1451 23/542 M5 (3D5/2) Photoionization subshell cross section 6800 1451 23/543 N1 (4S1/2) Photoionization subshell cross section 6800 1451 23/544 N2 (4P1/2) Photoionization subshell cross section 6800 1451 23/545 N3 (4P3/2) Photoionization subshell cross section 6800 1451 23/546 N4 (4D3/2) Photoionization subshell cross section 6800 1451 23/547 N5 (4D5/2) Photoionization subshell cross section 6800 1451 23/548 N6 (4F5/2) Photoionization subshell cross section 6800 1451 23/549 N7 (4F7/2) Photoionization subshell cross section 6800 1451 23/550 O1 (5S1/2) Photoionization subshell cross section 6800 1451 23/551 O2 (5P1/2) Photoionization subshell cross section 6800 1451 23/552 O3 (5P3/2) Photoionization subshell cross section 6800 1451 23/559 P1 (6S1/2) Photoionization subshell cross section 6800 1451 =================================================================6800 1451 27/502 Coherent scattering form factors 6800 1451 27/504 Incoherent scattering functions 6800 1451 27/505 Imaginary anomalous scattering factor 6800 1451 27/506 Real anomalous scattering factor 6800 1451 =================================================================6800 1451 Warning 6800 1451 =================================================================6800 1451 MF/MT combinations used to define photoionization subshell cross6800 1451 sections (MF=23, MT=534-572) and coherent anomalous scattering 6800 1451 factors (MF=27, MT=505 AND 506) are newly defined MF/MT numbers 6800 1451 for ENDF/B-VI that did not exist in earlier versions of ENDF/B. 6800 1451 If you are not prepared to use this data you need merely delete 6800 1451 it and all of the remaining data will still be consistent and 6800 1451 equivalent to the types of data in earlier versions of ENDF/B. 6800 1451 However, this will limit the range of problems to which this 6800 1451 data can be applied (see: ref. 1 for details). 6800 1451 =================================================================6800 1451 Definition of new types of data 6800 1451 =================================================================6800 1451 1) The total photoionization cross section is equal to the sum 6800 1451 of the photoionization subshell cross sections. 6800 1451 6800 1451 For each subshell on the second line of a section the C1 and 6800 1451 C2 fields are defined as, 6800 1451 6800 1451 EPE = The photoionization edge energy (similar to Q-value) 6800 1451 EFL = The fluorescence yield (eV/photoionization) 6800 1451 6800 1451 2) The angular distribution of coherently scattered photons is, 6800 1451 6800 1451 S(E,MU) = 3*T/8*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 6800 1451 6800 1451 S(E,MU) = Angular distributions (barns per unit cosine) 6800 1451 T = The Thomson cross section 6800 1451 MU = The cosine of the scattering angle 6800 1451 FF(M) = The atomic form factor 6800 1451 M = Momentum transfer = SIN(THETA/2)/LAMBDA/4*PI 6800 1451 F1(E) = The real anomalous scattering factor 6800 1451 F2(E) = The imaginary anomalous scattering factor 6800 1451 6800 1451 F1(E) and F2(E) are isotropic. 6800 1451 6800 1451 When F1(E) = F2(E) = 0 this reduces to the result obtained 6800 1451 using only form factors (the older ENDF/B convention). 6800 1451 =================================================================6800 1451 Differences between EPDL97 and the data base presented here 6800 1451 =================================================================6800 1451 1) Energy range - EPDL97 - 1 eV to 100 GeV 6800 1451 Here - 1 eV TO 100 GeV (previously 100 MeV) 6800 1451 2) Type of Data - EPDL97 - Photon interaction including 6800 1451 photoexcitation 6800 1451 Here - Photon interaction - ENDF/B-VI has 6800 1451 no provision for photoexcitation 6800 1451 3) Secondary E - EPDL97 - Average energy of each secondary 6800 1451 (photons, electrons, positrons) 6800 1451 HERE - No secondary energy data 6800 1451 4) Interpolation- EPDL97 - Cross sections are Log X vs. Log Y 6800 1451 interpolable - the total cross 6800 1451 section is not included 6800 1451 - Form factors and scattering functions 6800 1451 are Log X vs. Log y, except first 6800 1451 interval. 6800 1451 - Anomalous scattering factors linearly 6800 1451 interpolable (they can be negative) 6800 1451 Here - Up through ENDF/B-V photon interaction6800 1451 cross sections were Log X vs. Log Y. 6800 1451 - For the first two Mods. of ENDF/B-VI 6800 1451 in order to consistently define the 6800 1451 total cross sections at ALL energies 6800 1451 all cross sections were linearized. 6800 1451 This was NOT a good idea. 6800 1451 - Starting with Mod. 3, cross sections 6800 1451 are left in Log X vs. Log. Y form so 6800 1451 that they are IDENTICAL to what's in 6800 1451 EPDL97. 6800 1451 The total is defined ONLY at the 6800 1451 energies tabulated in any other cross 6800 1451 section. 6800 1451 WARNING - As a result the total cross section 6800 1451 MUST NOT be interpolated to define the6800 1451 total between tabulated energies. The 6800 1451 ONLY consist way to define the total 6800 1451 between tabulated energies is to 6800 1451 interpolate all of the partials and 6800 1451 add them up. 6800 1451 =================================================================6800 1451 References 6800 1451 =================================================================6800 1451 1) D.E. Cullen, M.H. Chen, J.H. Hubbell, S.T. Perkins, 6800 1451 E.F. Plechaty, J.A. Rathkopf and J.H. Scofield, Tables and 6800 1451 graphs of photon interaction cross sections from 10 eV to 100 6800 1451 GeV derived from the LLNL Evaluated Photon data library (EPDL), 6800 1451 UCRL-50400, Vol. 6, Rev. 4, Part A: Z = 1 to 50 and Part B: 6800 1451 Z = 51 to 100, Lawrence Livermore National Laboratory (1989) 6800 1451 2) D.E. Cullen, J.H. Hubbell and L.D. Kissel, EPDL97: the 6800 1451 Evaluated Photon Data Library, '97 Version, UCRL-50400, Vol. 6, 6800 1451 Rev. 5, Lawrence Livermore National Laboratory (1997) 6800 1451 3) D.E. Cullen "A Survey of Atomic Binding Energies for use 6800 1451 in EPICS2017" ,IAEA-NDS-224, (2017), Nuclear Data Section, 6800 1451 IAEA, Vienna, Austria 6800 1451 4) D.E. Cullen "A Survey of Photon Cross Section Data for use 6800 1451 in EPICS2017" ,IAEA-NDS-225, (2017), Nuclear Data Section, 6800 1451 IAEA, Vienna, Austria 6800 1451 5) D.E. Cullen,"EPICS2017: April 2019 Status Report", 6800 1451 IAEA-NDS-228, April 2019, Nuclear Data Section, 6800 1451 IAEA, Vienna, Austria. 6800 1451 6) D.E. Cullen,"EPICS2023: August 2023 Status Report", 6800 1451 IAEA-NDS-242, August 2023, Nuclear Data Section, 6800 1451 IAEA, Vienna, Austria. 6800 1451 6800 1451 These are the primary references to the contents of this library6800 1451 and they contain a complete list of references to the sources 6800 1451 of data used in this library, methods of evaluation, accuracy 6800 1451 of the data, etc. 6800 1451 =================================================================6800 1451 History 6800 1451 =================================================================6800 1451 1) Oct. 1989 - Initial Release 6800 1451 2) Aug. 1990 - Updated Photoelectic (total+shellS) 6800 1451 3) July 1997 - Complete re-evaluation 6800 1451 4) Sept.2014 - Updated based on recently published data. 6800 1451 - Insured Standard C, C++, FORTRAN format 6800 1451 5) Nov. 2017 - New Binding Energies (see, ref. 3) 6800 1451 - New Photoelectric and Coherent Cross Sections 6800 1451 - New Anomalous Scattering Factors (see, ref. 4) 6800 1451 - ALL Cross Sections Lin-Lin Interpolable 6800 1451 6) Aug. 2023 - Delete repeated points. Threshold start with XC=0.6800 1451 =================================================================6800 1451 ***************** Program FIXUP (Version 2023-2) ****************6800 1451 **************** Program DICTIN (VERSION 2023-1) ****************6800 1451 1 451 207 36800 1451 23 501 3649 36800 1451 23 502 150 36800 1451 23 504 132 36800 1451 23 515 73 36800 1451 23 516 146 36800 1451 23 517 96 36800 1451 23 522 3269 36800 1451 23 534 140 36800 1451 23 535 163 36800 1451 23 536 177 36800 1451 23 537 181 36800 1451 23 538 180 36800 1451 23 539 191 36800 1451 23 540 198 36800 1451 23 541 231 36800 1451 23 542 228 36800 1451 23 543 193 36800 1451 23 544 203 36800 1451 23 545 212 36800 1451 23 546 255 36800 1451 23 547 258 36800 1451 23 548 309 36800 1451 23 549 305 36800 1451 23 550 213 36800 1451 23 551 243 36800 1451 23 552 247 36800 1451 23 559 248 36800 1451 27 502 349 36800 1451 27 504 147 36800 1451 27 505 136 36800 1451 27 506 136 36800 1451 6800 1 0 6800 0 0 68000.0000 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16414.7525 24316.1892680023501 16417.6144 24305.1556 16499.2330 23990.6964 16500.0000 23987.7413680023501 16500.6091 23985.4035 16515.3452 23928.8512 16539.3171 23837.1369680023501 16563.8069 23743.4419 16568.1599 23726.8269 16573.0221 23708.2726680023501 16595.8700 23621.0923 16601.8433 23598.3091 16647.8563 23428.6114680023501 16651.5647 23415.0647 16696.9889 23249.3851 16699.3564 23240.7500680023501 16708.1987 23209.1320 16734.8500 23113.9230 16739.0931 23098.7881680023501 16751.2974 23055.2563 16751.8385 23053.3358 16767.0137 22999.4822680023501 16788.0400 22924.8828 16812.0296 22839.8598 16860.6775 22667.8812680023501 16861.5762 22664.7052 16936.3193 22400.9085 16970.6001 22279.9196680023501 16980.2022 22246.0628 16982.4371 22238.2760 16982.4400 22238.2659680023501 16990.8985 22209.7236 17006.8943 22155.8083 17015.4300 22127.0411680023501 17047.5079 22020.5328 17069.7784 21946.7119 17080.4772 21911.2587680023501 17095.8478 21860.3501 17156.9253 21658.1148 17159.4652 21649.7049680023501 17179.0800 21584.7972 17185.5025 21563.5446 17191.3555 21544.1987680023501 17200.3122 21514.6842 17200.7289 21513.3186 17253.4155 21340.6845680023501 17256.4050 21330.8899 17304.3110 21176.3313 17322.1331 21118.8524680023501 17328.0625 21099.7292 17333.2032 21083.1499 17340.5316 21059.5681680023501 17340.5355 21059.5555 17371.9492 20958.5341 17374.8826 20949.1117680023501 17377.8353 20939.6282 17378.0100 20939.0681 17403.0383 20858.8448680023501 17478.4599 20625.3036 17481.5956 20615.5941 17491.1970 20585.9046680023501 17493.2702 20579.4987 17544.9543 20419.8047 17545.2731 20418.8237680023501 17577.8518 20318.5832 17579.2400 20314.3713 17624.2813 20177.9752680023501 17629.7746 20161.6472 17636.2501 20142.4258 17646.0590 20113.3101680023501 17675.2567 20026.8958 17685.9661 19995.2125 17703.3981 19943.6546680023501 17738.0681 19841.1250 17775.3851 19731.0226 17779.5981 19718.5923680023501 17782.7900 19709.4536 17783.0003 19708.8527 17783.2905 19708.0234680023501 17805.2012 19645.4135 17807.9602 19637.5354 17808.2028 19636.8457680023501 17821.1232 19600.1194 17885.4584 19417.5065 17958.6752 19210.1645680023501 17959.9011 19206.6939 18000.0000 19093.1966 18039.3296 18982.8360680023501 18039.8534 18981.3662 18040.9997 18978.1836 18087.2336 18849.8225680023501 18092.5556 18835.0597 18110.4710 18785.4682 18112.0470 18781.1060680023501 18115.7657 18770.8299 18157.7720 18657.7280 18161.8536 18646.7704680023501 18174.2174 18613.5960 18188.8261 18574.4100 18203.0726 18536.1959680023501 18207.2056 18525.1120 18209.8795 18517.9649 18210.0036 18517.6350680023501 18260.1976 18384.1932 18269.5571 18359.6288 18273.4940 18349.2963680023501 18293.3170 18297.2705 18368.0237 18101.2296 18394.3060 18032.4087680023501 18394.8951 18030.8835 18407.7200 17997.6834 18415.1222 17978.5478680023501 18418.5469 17969.8933 18434.0234 17930.7929 18471.9188 17835.1075680023501 18480.8800 17812.4807 18502.3908 17758.1667 18507.5477 17745.1504680023501 18547.5526 17645.9453 18612.4965 17485.0049 18614.5906 17479.8203680023501 18620.8700 17464.2739 18639.7453 17417.7059 18644.3351 17406.4107680023501 18650.8231 17390.4967 18664.2726 17357.5076 18681.1143 17316.1982680023501 18728.3709 17203.5622 18748.6209 17155.3767 18801.7825 17028.8908680023501 18829.0780 16963.9653 18829.9284 16961.9449 18836.4900 16946.3573680023501 18849.9446 16914.4040 18860.2232 16890.0100 18900.4637 16794.6215680023501 18917.9892 16753.1074 18939.0858 16703.3097 18940.4416 16700.1539680023501 18945.2339 16688.9993 18968.0850 16635.8166 18970.8801 16629.3114680023501 18980.3957 16607.2245 18989.5993 16586.3209 19013.5189 16531.9942680023501 19017.7948 16522.2965 19094.4331 16348.9137 19097.5202 16341.9310680023501 19155.8786 16209.9455 19164.6104 16190.8191 19181.8549 16153.0585680023501 19209.5680 16092.6517 19214.1774 16082.6046 19233.6839 16040.1429680023501 19237.3104 16032.2498 19238.0091 16030.7291 19266.5826 15968.5950680023501 19275.2500 15949.7704 19302.7907 15889.9858 19316.9065 15859.4234680023501 19392.6957 15695.3655 19404.0373 15670.8149 19425.2119 15625.9549680023501 19439.9443 15594.7434 19442.4607 15589.4123 19456.4011 15559.9047680023501 19478.6448 15512.8346 19490.7748 15487.2501 19500.0000 15467.8216680023501 19508.1619 15450.7517 19519.8534 15426.3237 19526.3063 15413.1600680023501 19611.0129 15240.5280 19633.0807 15195.5771 19652.5066 15156.0131680023501 19655.4860 15149.9759 19670.6657 15119.2246 19710.5109 15038.5062680023501 19715.3599 15028.6831 19724.2280 15010.7225 19731.5984 14995.7963680023501 19738.3121 14982.2137 19749.0793 14960.4983 19782.4730 14893.1593680023501 19797.3658 14863.6119 19889.4067 14685.5452 19909.5999 14646.5444680023501 19944.7747 14578.6527 19952.6200 14563.5148 19953.0000 14562.7816680023501 19966.8730 14536.0115 20000.0000 14472.1600 20011.3314 14450.3823680023501 20013.0584 14447.1034 20067.8114 14343.5435 20071.5606 14336.4529680023501 20119.6538 14245.6062 20125.6512 14234.4370 20144.6691 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20954.7357 12794.5331 20996.4137 12728.3297 21004.7193 12715.1392680023501 21006.4931 12712.3221 21089.3173 12582.9098 21131.0862 12517.7164680023501 21134.8900 12511.7800 21135.0104 12511.5930 21146.3005 12494.0537680023501 21165.0923 12464.8911 21233.7785 12358.3607 21257.0009 12322.4625680023501 21260.8794 12316.4679 21365.4295 12154.9231 21379.6200 12133.3187680023501 21399.1316 12103.6159 21406.5590 12092.3493 21436.2534 12047.4557680023501 21437.3876 12045.7409 21441.3520 12039.9399 21451.3737 12025.2755680023501 21472.1235 11994.9405 21473.4290 11993.0321 21475.0202 11990.7145680023501 21487.6664 11972.2956 21503.0464 11949.8994 21504.2878 11948.0943680023501 21530.6231 11909.8371 21627.1900 11769.5744 21642.6339 11747.3834680023501 21654.4372 11730.4355 21678.7236 11695.6054 21713.0411 11647.1671680023501 21721.9209 11634.6335 21752.0397 11592.1547 21774.0959 11561.0504680023501 21795.2412 11531.3653 21830.4402 11481.9510 21835.3503 11475.0662680023501 21892.5889 11395.0096 21897.3700 11388.3405 21897.7950 11387.7478680023501 21953.5916 11312.1085 21961.4473 11301.4591 22003.9213 11243.9363680023501 22014.0628 11230.2055 22035.6099 11201.0326 22036.5606 11199.7643680023501 22068.4219 11157.2911 22075.2816 11148.1466 22083.2248 11137.5590680023501 22088.1928 11130.9379 22120.9962 11087.2586 22130.9500 11074.0184680023501 22157.2994 11038.9860 22162.5711 11032.1099 22166.2584 11027.3134680023501 22209.7661 10970.7179 22248.0757 10920.8956 22270.1351 10892.2115680023501 22275.5521 10885.1882 22308.7556 10842.1388 22310.4285 10840.0226680023501 22338.9405 10804.1438 22378.4032 10754.4970 22386.9915 10743.7066680023501 22387.4833 10743.0893 22419.2019 10703.2801 22427.2057 10693.2443680023501 22444.3935 10671.6930 22516.4572 10581.4048 22538.7432 10553.4973680023501 22543.3944 10547.6734 22589.8981 10489.4443 22636.2640 10431.3880680023501 22646.4400 10418.6489 22662.6194 10398.6042 22674.6679 10383.7244680023501 22674.9780 10383.3494 22686.7365 10369.1340 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9323.17647680023501 23713.7400 9222.82883 23725.5558 9210.74698 23768.7231 9166.61710680023501 23826.7238 9108.14250 23850.6399 9084.03109 23855.0937 9079.54472680023501 23877.4814 9057.02297 23919.3866 9014.87345 23941.9883 8992.20275680023501 23988.3300 8945.74556 23988.3319 8945.74365 23997.2951 8936.75870680023501 24000.0000 8934.04782 24001.2818 8932.76752 24005.4621 8928.60229680023501 24024.6404 8909.49584 24088.5960 8847.18483 24211.3944 8729.78538680023501 24213.7769 8727.51026 24227.3707 8714.54300 24231.2071 8710.88344680023501 24248.6489 8694.25802 24266.1000 8677.62379 24300.7778 8644.60790680023501 24344.8044 8602.71593 24347.5427 8600.11950 24363.6687 8584.87494680023501 24406.1918 8545.60851 24410.7508 8541.39896 24416.5806 8536.01744680023501 24434.4681 8519.56973 24495.2611 8464.62399 24547.0900 8417.78027680023501 24566.0344 8400.66161 24583.4593 8385.17345 24654.6164 8321.92555680023501 24655.4017 8321.22764 24693.2454 8287.62856 24724.3560 8260.03370680023501 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74028.9588 2092.76816 74101.8570 2087.42421 74131.0200 2085.28704680023522 74217.0469 2078.98279 74265.3347 2075.44418 74383.1541 2066.81178680023522 74407.1678 2065.05244 74473.7436 2060.17483 74477.1837 2059.92282680023522 74666.3604 2046.06434 74734.3730 2041.08533 74807.9236 2035.72034680023522 74826.8910 2034.41538 74959.9185 2025.26318 74973.2302 2024.34739680023522 74989.4200 2023.23366 74996.1132 2022.77372 75097.3326 2015.82157680023522 75197.1449 2008.96618 75281.9274 2003.14309 75295.7285 2002.19744680023522 75368.0846 1997.23965 75445.3415 1991.94614 75585.8476 1982.31943680023522 75617.4131 1980.15693 75722.0200 1972.99221 75759.6354 1970.41590680023522 75857.7600 1963.69632 75945.3641 1957.72505 75987.5027 1954.85280680023522 76019.3315 1952.68466 76031.1564 1951.87916 76081.4993 1948.44990680023522 76115.7594 1946.11731 76269.1350 1935.67525 76454.9137 1923.07072680023522 76493.0235 1920.48520 76546.5748 1916.85222 76556.4258 1916.18392680023522 76643.2286 1910.30802 76643.5228 1910.28945 76653.5796 1909.65496680023522 76736.1478 1904.44568 76774.3873 1902.03617 77040.3749 1885.28037680023522 77091.7923 1882.04141 77160.6371 1877.70524 77177.7516 1876.62730680023522 77202.6884 1875.05670 77247.2961 1872.24729 77302.4099 1868.77828680023522 77323.5286 1867.44902 77413.6537 1861.77630 77513.0830 1855.51823680023522 77648.5309 1847.03926 77663.3945 1846.10892 77668.1397 1845.81192680023522 77739.1024 1841.37045 77785.9854 1838.43783 77811.6685 1836.83667680023522 78235.7767 1810.45313 78268.3838 1808.42474 78276.6311 1807.91171680023522 78278.9106 1807.76992 78297.8781 1806.59016 78323.3885 1805.00509680023522 78447.3147 1797.30532 78523.5600 1792.57058 78530.5782 1792.15685680023522 78534.1536 1791.94608 78543.1245 1791.41726 78595.5050 1788.33045680023522 78734.5270 1780.13782 78991.0947 1765.01837 79019.3728 1763.35983680023522 79047.3082 1761.72138 79185.9719 1753.60543 79216.8487 1751.79829680023522 79284.1963 1747.85674 79304.8447 1746.65213 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