58-Ce 2025 Evaluated Photon Data Library (EPDL) by D.E. Cullen 2023 0 0 58000.0000 138.916000 -1 0 0 35800 1451 0.0 0.0 0 0 0 65800 1451 0.0 1.0000E+11 0 0 3 65800 1451 0.0 0.0 1 0 171 325800 1451 58-Ce- 0 NDS,IAEA Eval-Aug23 D.E.Cullen, et al. 5800 1451 NDS-IAEA-225 Dist-Jan25 5800 1451 ---- ENDF/B-VI MATERIAL 5800 5800 1451 ----- PHOTO-ATOMIC INTERACTION DATA 5800 1451 ------ ENDF/B-6 5800 1451 =================================================================5800 1451 The Livermore Evaluated Photon Data Library (EPDL97) in the 5800 1451 ENDF-6 Format. 5800 1451 =================================================================5800 1451 Contents 5800 1451 =================================================================5800 1451 MF/MT Description 5800 1451 =================================================================5800 1451 23/501 Total cross sections 5800 1451 23/502 Coherent scattering cross sections 5800 1451 23/504 Incoherent scattering cross sections 5800 1451 23/515 Pair production cross sections, Electron field 5800 1451 23/516 Pair production cross sections, Total 5800 1451 23/517 Pair production cross sections, Nuclear field 5800 1451 23/522 Total photoionization cross section 5800 1451 23/534 K (1S1/2) Photoionization subshell cross section 5800 1451 23/535 L1 (2S1/2) Photoionization subshell cross section 5800 1451 23/536 L2 (2P1/2) Photoionization subshell cross section 5800 1451 23/537 L3 (2P3/2) Photoionization subshell cross section 5800 1451 23/538 M1 (3S1/2) Photoionization subshell cross section 5800 1451 23/539 M2 (3P1/2) Photoionization subshell cross section 5800 1451 23/540 M3 (3P3/2) Photoionization subshell cross section 5800 1451 23/541 M4 (3D3/2) Photoionization subshell cross section 5800 1451 23/542 M5 (3D5/2) Photoionization subshell cross section 5800 1451 23/543 N1 (4S1/2) Photoionization subshell cross section 5800 1451 23/544 N2 (4P1/2) Photoionization subshell cross section 5800 1451 23/545 N3 (4P3/2) Photoionization subshell cross section 5800 1451 23/546 N4 (4D3/2) Photoionization subshell cross section 5800 1451 23/547 N5 (4D5/2) Photoionization subshell cross section 5800 1451 23/548 N6 (4F5/2) Photoionization subshell cross section 5800 1451 23/549 N7 (4F7/2) Photoionization subshell cross section 5800 1451 23/550 O1 (5S1/2) Photoionization subshell cross section 5800 1451 23/551 O2 (5P1/2) Photoionization subshell cross section 5800 1451 23/552 O3 (5P3/2) Photoionization subshell cross section 5800 1451 23/559 P1 (6S1/2) Photoionization subshell cross section 5800 1451 =================================================================5800 1451 27/502 Coherent scattering form factors 5800 1451 27/504 Incoherent scattering functions 5800 1451 27/505 Imaginary anomalous scattering factor 5800 1451 27/506 Real anomalous scattering factor 5800 1451 =================================================================5800 1451 Warning 5800 1451 =================================================================5800 1451 MF/MT combinations used to define photoionization subshell cross5800 1451 sections (MF=23, MT=534-572) and coherent anomalous scattering 5800 1451 factors (MF=27, MT=505 AND 506) are newly defined MF/MT numbers 5800 1451 for ENDF/B-VI that did not exist in earlier versions of ENDF/B. 5800 1451 If you are not prepared to use this data you need merely delete 5800 1451 it and all of the remaining data will still be consistent and 5800 1451 equivalent to the types of data in earlier versions of ENDF/B. 5800 1451 However, this will limit the range of problems to which this 5800 1451 data can be applied (see: ref. 1 for details). 5800 1451 =================================================================5800 1451 Definition of new types of data 5800 1451 =================================================================5800 1451 1) The total photoionization cross section is equal to the sum 5800 1451 of the photoionization subshell cross sections. 5800 1451 5800 1451 For each subshell on the second line of a section the C1 and 5800 1451 C2 fields are defined as, 5800 1451 5800 1451 EPE = The photoionization edge energy (similar to Q-value) 5800 1451 EFL = The fluorescence yield (eV/photoionization) 5800 1451 5800 1451 2) The angular distribution of coherently scattered photons is, 5800 1451 5800 1451 S(E,MU) = 3*T/8*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 5800 1451 5800 1451 S(E,MU) = Angular distributions (barns per unit cosine) 5800 1451 T = The Thomson cross section 5800 1451 MU = The cosine of the scattering angle 5800 1451 FF(M) = The atomic form factor 5800 1451 M = Momentum transfer = SIN(THETA/2)/LAMBDA/4*PI 5800 1451 F1(E) = The real anomalous scattering factor 5800 1451 F2(E) = The imaginary anomalous scattering factor 5800 1451 5800 1451 F1(E) and F2(E) are isotropic. 5800 1451 5800 1451 When F1(E) = F2(E) = 0 this reduces to the result obtained 5800 1451 using only form factors (the older ENDF/B convention). 5800 1451 =================================================================5800 1451 Differences between EPDL97 and the data base presented here 5800 1451 =================================================================5800 1451 1) Energy range - EPDL97 - 1 eV to 100 GeV 5800 1451 Here - 1 eV TO 100 GeV (previously 100 MeV) 5800 1451 2) Type of Data - EPDL97 - Photon interaction including 5800 1451 photoexcitation 5800 1451 Here - Photon interaction - ENDF/B-VI has 5800 1451 no provision for photoexcitation 5800 1451 3) Secondary E - EPDL97 - Average energy of each secondary 5800 1451 (photons, electrons, positrons) 5800 1451 HERE - No secondary energy data 5800 1451 4) Interpolation- EPDL97 - Cross sections are Log X vs. Log Y 5800 1451 interpolable - the total cross 5800 1451 section is not included 5800 1451 - Form factors and scattering functions 5800 1451 are Log X vs. Log y, except first 5800 1451 interval. 5800 1451 - Anomalous scattering factors linearly 5800 1451 interpolable (they can be negative) 5800 1451 Here - Up through ENDF/B-V photon interaction5800 1451 cross sections were Log X vs. Log Y. 5800 1451 - For the first two Mods. of ENDF/B-VI 5800 1451 in order to consistently define the 5800 1451 total cross sections at ALL energies 5800 1451 all cross sections were linearized. 5800 1451 This was NOT a good idea. 5800 1451 - Starting with Mod. 3, cross sections 5800 1451 are left in Log X vs. Log. Y form so 5800 1451 that they are IDENTICAL to what's in 5800 1451 EPDL97. 5800 1451 The total is defined ONLY at the 5800 1451 energies tabulated in any other cross 5800 1451 section. 5800 1451 WARNING - As a result the total cross section 5800 1451 MUST NOT be interpolated to define the5800 1451 total between tabulated energies. The 5800 1451 ONLY consist way to define the total 5800 1451 between tabulated energies is to 5800 1451 interpolate all of the partials and 5800 1451 add them up. 5800 1451 =================================================================5800 1451 References 5800 1451 =================================================================5800 1451 1) D.E. Cullen, M.H. Chen, J.H. Hubbell, S.T. Perkins, 5800 1451 E.F. Plechaty, J.A. Rathkopf and J.H. Scofield, Tables and 5800 1451 graphs of photon interaction cross sections from 10 eV to 100 5800 1451 GeV derived from the LLNL Evaluated Photon data library (EPDL), 5800 1451 UCRL-50400, Vol. 6, Rev. 4, Part A: Z = 1 to 50 and Part B: 5800 1451 Z = 51 to 100, Lawrence Livermore National Laboratory (1989) 5800 1451 2) D.E. Cullen, J.H. Hubbell and L.D. Kissel, EPDL97: the 5800 1451 Evaluated Photon Data Library, '97 Version, UCRL-50400, Vol. 6, 5800 1451 Rev. 5, Lawrence Livermore National Laboratory (1997) 5800 1451 3) D.E. Cullen "A Survey of Atomic Binding Energies for use 5800 1451 in EPICS2017" ,IAEA-NDS-224, (2017), Nuclear Data Section, 5800 1451 IAEA, Vienna, Austria 5800 1451 4) D.E. Cullen "A Survey of Photon Cross Section Data for use 5800 1451 in EPICS2017" ,IAEA-NDS-225, (2017), Nuclear Data Section, 5800 1451 IAEA, Vienna, Austria 5800 1451 5) D.E. Cullen,"EPICS2017: April 2019 Status Report", 5800 1451 IAEA-NDS-228, April 2019, Nuclear Data Section, 5800 1451 IAEA, Vienna, Austria. 5800 1451 6) D.E. Cullen,"EPICS2023: August 2023 Status Report", 5800 1451 IAEA-NDS-242, August 2023, Nuclear Data Section, 5800 1451 IAEA, Vienna, Austria. 5800 1451 5800 1451 These are the primary references to the contents of this library5800 1451 and they contain a complete list of references to the sources 5800 1451 of data used in this library, methods of evaluation, accuracy 5800 1451 of the data, etc. 5800 1451 =================================================================5800 1451 History 5800 1451 =================================================================5800 1451 1) Oct. 1989 - Initial Release 5800 1451 2) Aug. 1990 - Updated Photoelectic (total+shellS) 5800 1451 3) July 1997 - Complete re-evaluation 5800 1451 4) Sept.2014 - Updated based on recently published data. 5800 1451 - Insured Standard C, C++, FORTRAN format 5800 1451 5) Nov. 2017 - New Binding Energies (see, ref. 3) 5800 1451 - New Photoelectric and Coherent Cross Sections 5800 1451 - New Anomalous Scattering Factors (see, ref. 4) 5800 1451 - ALL Cross Sections Lin-Lin Interpolable 5800 1451 6) Aug. 2023 - Delete repeated points. Threshold start with XC=0.5800 1451 =================================================================5800 1451 ***************** Program FIXUP (Version 2023-2) ****************5800 1451 **************** Program DICTIN (VERSION 2023-1) ****************5800 1451 1 451 207 35800 1451 23 501 3887 35800 1451 23 502 169 35800 1451 23 504 132 35800 1451 23 515 73 35800 1451 23 516 147 35800 1451 23 517 97 35800 1451 23 522 3487 35800 1451 23 534 146 35800 1451 23 535 169 35800 1451 23 536 185 35800 1451 23 537 188 35800 1451 23 538 186 35800 1451 23 539 200 35800 1451 23 540 204 35800 1451 23 541 240 35800 1451 23 542 238 35800 1451 23 543 202 35800 1451 23 544 213 35800 1451 23 545 218 35800 1451 23 546 272 35800 1451 23 547 272 35800 1451 23 548 318 35800 1451 23 549 315 35800 1451 23 550 220 35800 1451 23 551 248 35800 1451 23 552 252 35800 1451 23 559 251 35800 1451 27 502 361 35800 1451 27 504 149 35800 1451 27 505 155 35800 1451 27 506 155 35800 1451 5800 1 0 5800 0 0 58000.0000 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8609.93749 70622.6840 8609.93800 70622.6732 8613.15499 70555.3211580023522 8621.42852 70382.3552 8625.31842 70301.2846 8644.07919 69910.4852580023522 8656.96603 69642.1603 8663.63582 69503.3314 8675.30755 69260.8636580023522 8703.56647 68673.8150 8709.63600 68547.8517 8730.44493 68116.0279580023522 8743.38642 67855.9589 8759.18413 67538.4925 8761.55360 67490.8763580023522 8768.58821 67349.7504 8785.16651 67017.3139 8795.77846 66808.2065580023522 8799.40099 66736.8427 8810.48900 66519.5711 8826.22799 66212.6933580023522 8836.67852 66009.3543 8869.26353 65375.6415 8878.60458 65194.0873580023522 8886.52197 65040.2037 8893.29066 64908.6465 8899.69239 64784.2231580023522 8901.34654 64752.0757 8906.29871 64655.8578 8909.40325 64595.5667580023522 8912.50900 64535.3230 8938.19885 64039.9520 8941.41441 63978.0594580023522 8954.21021 63735.4079 8983.93901 63191.7312 8989.79945 63084.5941580023522 8998.63478 62923.0830 9015.71100 62610.9276 9051.46261 61959.4104580023522 9054.71864 61900.1682 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10338.4550 43701.9575 10347.8168 43597.5215 10351.4200 43557.3501580023522 10400.0000 43016.2275 10407.3758 42934.4645 10411.1817 42893.7232580023522 10424.4713 42752.0043 10451.4537 42464.6010 10471.2900 42253.3146580023522 10489.9931 42054.1399 10505.2462 41892.0869 10516.5905 41771.5633580023522 10521.9538 41714.6407 10525.1371 41680.8588 10528.4793 41645.4037580023522 10533.6272 41590.9117 10542.1601 41502.0185 10546.9023 41452.7300580023522 10553.2085 41387.1902 10569.6972 41216.0683 10574.9820 41161.4803580023522 10592.5400 40980.1193 10604.8831 40852.6705 10607.7903 40823.4218580023522 10638.3716 40515.7812 10643.3910 40465.2989 10653.6923 40361.7710580023522 10673.4739 40162.9665 10684.2663 40054.5173 10697.3005 39923.5411580023522 10697.4234 39922.3081 10707.7239 39820.1394 10709.1669 39805.8613580023522 10715.1900 39747.0934 10720.9752 39690.6628 10755.4695 39354.2233580023522 10761.5563 39296.4682 10780.8161 39113.8279 10782.3358 39099.4166580023522 10786.6761 39058.3236 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11236.2201 35059.7030580023522 11272.1491 34767.0442 11293.4613 34593.4587 11296.1297 34571.7561580023522 11299.8400 34541.5944 11317.4889 34398.1232 11330.0369 34296.3302580023522 11331.1587 34287.2298 11357.1746 34076.2242 11399.2124 33740.2446580023522 11410.1771 33652.7525 11412.1027 33637.3894 11415.6296 33609.2608580023522 11417.5727 33593.7961 11417.6858 33592.9062 11455.2615 33297.4691580023522 11467.1561 33203.9553 11469.5619 33185.0452 11473.5342 33153.8278580023522 11476.3605 33131.6279 11477.5385 33122.3750 11479.5985 33106.2117580023522 11481.5400 33090.9784 11482.6353 33082.3845 11489.7401 33028.5492580023522 11500.0000 32951.2063 11518.7759 32809.8239 11520.0056 32800.5892580023522 11558.2076 32518.2301 11589.4388 32287.7232 11595.0935 32246.1008580023522 11610.5582 32132.3016 11674.2186 31663.8477 11681.1506 31612.8503580023522 11681.5410 31609.9814 11694.1660 31517.2065 11699.1465 31480.6109580023522 11712.2353 31384.5513 11717.3148 31347.2726 11734.2597 31226.5879580023522 11735.5224 31217.5973 11744.8786 31150.9858 11748.9800 31121.8041580023522 11768.6398 30982.4634 11797.0000 30785.2062 11801.3138 30755.2053580023522 11801.4016 30754.6029 11823.8771 30600.5208 11841.9966 30476.4915580023522 11859.3978 30357.4973 11866.4228 30309.4585 11879.6807 30218.7975580023522 11885.0200 30182.3974 11899.9968 30080.3150 11911.7867 30000.1974580023522 11926.5906 29899.6091 11936.4485 29834.3698 11946.1468 29770.2545580023522 11954.7877 29713.1493 11984.5527 29517.2005 11996.3779 29439.4490580023522 12017.2424 29302.2784 12022.6400 29266.7926 12045.3639 29119.3383580023522 12074.6607 28929.5516 12097.5602 28781.2377 12097.6276 28780.8073580023522 12112.7707 28684.1746 12137.8246 28527.9393 12138.3645 28524.5889580023522 12144.3688 28487.4153 12157.0788 28408.7263 12157.7609 28404.5034580023522 12161.8600 28379.2093 12173.5959 28306.8102 12196.9114 28162.9960580023522 12214.1975 28056.3724 12214.4766 28054.6539 12232.0671 27946.3505580023522 12238.1675 27908.8076 12243.0769 27878.6354 12245.8345 27861.6908580023522 12271.7448 27702.5004 12278.0609 27663.7401 12280.7698 27647.5883580023522 12307.5289 27488.0374 12320.2685 27413.6230 12324.6666 27387.9960580023522 12351.4699 27231.9188 12355.9173 27206.0214 12375.9373 27089.4769580023522 12390.0314 27007.4305 12392.3669 26993.8348 12418.3063 26842.8670580023522 12431.8945 26763.8283 12464.9083 26571.9881 12471.8953 26531.6060580023522 12488.3143 26436.9038 12490.0499 26426.8931 12528.2558 26206.5614580023522 12529.3835 26200.0595 12555.9314 26047.1264 12557.5853 26037.7635580023522 12562.3391 26010.8543 12572.7645 25952.8618 12579.1996 25918.2233580023522 12583.5833 25894.6524 12587.1335 25875.5632 12589.2500 25864.2301580023522 12598.2483 25816.0529 12609.2963 25757.0783 12658.0180 25497.0003580023522 12673.2391 25415.7702 12681.0226 25374.2647 12715.9924 25187.8450580023522 12726.1561 25133.8843 12730.7289 25109.6292 12732.7772 25098.7645580023522 12735.0300 25086.8166 12751.0737 25001.8571 12789.6217 24797.8570580023522 12791.8575 24786.2035 12798.4251 24751.9721 12803.4362 24726.4819580023522 12821.2271 24636.0992 12823.8418 24622.8168 12842.2162 24529.4766580023522 12860.9868 24434.1238 12882.5000 24324.8591 12907.6191 24197.5131580023522 12917.9134 24145.5475 12943.3287 24017.2667 12952.8605 23969.2264580023522 12956.8632 23949.0595 12970.3245 23881.2460 12987.1431 23798.6353580023522 12991.8648 23775.4429 13006.4881 23704.5761 13011.2803 23681.3637580023522 13015.3464 23661.6684 13022.5846 23626.6149 13027.1242 23604.6320580023522 13031.6700 23582.6440 13106.9041 23223.5301 13110.9823 23204.1063580023522 13112.9452 23194.7573 13128.3829 23121.2309 13160.5563 22968.1901580023522 13171.4491 22916.3883 13182.5700 22864.3786 13200.4871 22780.5848580023522 13200.6770 22779.7013 13201.4009 22776.3337 13232.5123 22631.6785580023522 13239.6058 22599.6930 13250.3664 22551.2233 13287.3197 22384.8103580023522 13292.4744 22361.5998 13296.8892 22341.7429 13298.9587 22332.4566580023522 13306.4619 22298.7884 13316.0397 22255.9307 13318.5108 22244.8800580023522 13330.5655 22190.9854 13335.2100 22170.2225 13335.2162 22170.1948580023522 13359.0391 22065.3868 13397.1212 21897.8479 13424.2694 21778.4118580023522 13437.7361 21719.2186 13489.6300 21491.4271 13491.7154 21482.2756580023522 13499.2602 21449.7805 13500.0000 21446.5962 13533.3801 21306.2735580023522 13547.9901 21245.0421 13559.0042 21198.9155 13569.9489 21153.0936580023522 13583.3755 21096.9239 13587.7160 21078.7675 13587.9618 21077.7393580023522 13606.6134 20999.7792 13645.8300 20835.8614 13663.0268 20763.9858580023522 13678.9719 20697.5469 13695.7741 20629.4310 13704.8731 20592.6000580023522 13724.6112 20512.7189 13732.8291 20479.4644 13733.8425 20475.3675580023522 13736.8667 20463.1883 13736.9560 20462.8287 13737.0153 20462.5901580023522 13756.7094 20384.4709 13803.8400 20197.5212 13803.8439 20197.5058580023522 13828.6984 20100.8181 13843.6289 20042.7363 13847.8305 20026.3928580023522 13892.5491 19852.4687 13896.0263 19838.9598 13906.3019 19799.0457580023522 13923.9126 19730.6393 13933.5750 19693.6582 13936.7068 19681.6735580023522 13941.7751 19662.3236 13957.4050 19602.9400 13990.0731 19479.2503580023522 13997.9008 19449.6440 14024.0977 19353.6139 14025.9943 19346.6633580023522 14025.9953 19346.6597 14038.5291 19300.7673 14041.9835 19288.1191580023522 14044.2944 19279.6678 14065.4712 19202.2575 14074.0103 19171.0497580023522 14125.3800 18983.5076 14145.5584 18909.8404 14186.1636 18761.9624580023522 14196.7008 18723.6291 14200.9359 18708.2236 14209.0371 18678.7548580023522 14219.7042 18640.6323 14241.9678 18561.0827 14258.1254 18504.6652580023522 14269.1542 18466.1785 14272.9591 18452.9192 14284.1197 18414.0268580023522 14288.9400 18397.2730 14306.9463 18335.4186 14313.2607 18313.7312580023522 14323.0759 18280.2062 14332.2172 18248.9880 14355.7988 18168.5186580023522 14366.9865 18130.3419 14378.0601 18092.5630 14393.0966 18041.2984580023522 14427.8068 17922.9812 14433.6153 17903.6562 14451.3471 17844.6629580023522 14464.7187 17800.1759 14467.4018 17791.2760 14485.4645 17731.3675580023522 14492.6885 17707.4390 14500.0000 17683.2206 14528.9765 17588.9611580023522 14534.1648 17572.0977 14546.5486 17531.9603 14586.5998 17402.1797580023522 14593.5261 17379.7359 14597.3571 17367.3236 14598.3565 17364.0861580023522 14600.7453 17356.3791 14640.1933 17230.6104 14647.8961 17206.0685580023522 14690.1831 17071.4337 14708.8336 17012.0606 14711.1217 17004.7766580023522 14735.3938 16929.7258 14736.0979 16927.5486 14772.5560 16814.9645580023522 14791.0800 16757.7715 14791.8558 16755.3832 14812.2219 16692.6874580023522 14815.8988 16681.3697 14819.0365 16671.7529 14829.1916 16640.6364580023522 14868.8020 16519.3849 14879.1513 16488.3229 14883.1619 16476.4679580023522 14917.4632 16375.0878 14920.0864 16367.3614 14933.4481 16328.0060580023522 14945.8349 16291.5402 14971.6752 16215.5532 15000.0000 16132.2707580023522 15026.7470 16055.6287 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