87-Fr 2025 Evaluated Photon Data Library (EPDL) by D.E. Cullen 2023 0 0 87000.0000 221.084000 -1 0 0 38700 1451 0.0 0.0 0 0 0 68700 1451 0.0 1.0000E+11 0 0 3 68700 1451 0.0 0.0 1 0 176 378700 1451 87-Fr- 0 NDS,IAEA Eval-Aug23 D.E.Cullen, et al. 8700 1451 NDS-IAEA-225 Dist-Jan25 8700 1451 ---- ENDF/B-VI MATERIAL 8700 8700 1451 ----- PHOTO-ATOMIC INTERACTION DATA 8700 1451 ------ ENDF/B-6 8700 1451 =================================================================8700 1451 The Livermore Evaluated Photon Data Library (EPDL97) in the 8700 1451 ENDF-6 Format. 8700 1451 =================================================================8700 1451 Contents 8700 1451 =================================================================8700 1451 MF/MT Description 8700 1451 =================================================================8700 1451 23/501 Total cross sections 8700 1451 23/502 Coherent scattering cross sections 8700 1451 23/504 Incoherent scattering cross sections 8700 1451 23/515 Pair production cross sections, Electron field 8700 1451 23/516 Pair production cross sections, Total 8700 1451 23/517 Pair production cross sections, Nuclear field 8700 1451 23/522 Total photoionization cross section 8700 1451 23/534 K (1S1/2) Photoionization subshell cross section 8700 1451 23/535 L1 (2S1/2) Photoionization subshell cross section 8700 1451 23/536 L2 (2P1/2) Photoionization subshell cross section 8700 1451 23/537 L3 (2P3/2) Photoionization subshell cross section 8700 1451 23/538 M1 (3S1/2) Photoionization subshell cross section 8700 1451 23/539 M2 (3P1/2) Photoionization subshell cross section 8700 1451 23/540 M3 (3P3/2) Photoionization subshell cross section 8700 1451 23/541 M4 (3D3/2) Photoionization subshell cross section 8700 1451 23/542 M5 (3D5/2) Photoionization subshell cross section 8700 1451 23/543 N1 (4S1/2) Photoionization subshell cross section 8700 1451 23/544 N2 (4P1/2) Photoionization subshell cross section 8700 1451 23/545 N3 (4P3/2) Photoionization subshell cross section 8700 1451 23/546 N4 (4D3/2) Photoionization subshell cross section 8700 1451 23/547 N5 (4D5/2) Photoionization subshell cross section 8700 1451 23/548 N6 (4F5/2) Photoionization subshell cross section 8700 1451 23/549 N7 (4F7/2) Photoionization subshell cross section 8700 1451 23/550 O1 (5S1/2) Photoionization subshell cross section 8700 1451 23/551 O2 (5P1/2) Photoionization subshell cross section 8700 1451 23/552 O3 (5P3/2) Photoionization subshell cross section 8700 1451 23/553 O4 (5D3/2) Photoionization subshell cross section 8700 1451 23/554 O5 (5D5/2) Photoionization subshell cross section 8700 1451 23/559 P1 (6S1/2) Photoionization subshell cross section 8700 1451 23/560 P2 (6P1/2) Photoionization subshell cross section 8700 1451 23/561 P3 (6P3/2) Photoionization subshell cross section 8700 1451 23/570 Q1 (7S1/2) Photoionization subshell cross section 8700 1451 =================================================================8700 1451 27/502 Coherent scattering form factors 8700 1451 27/504 Incoherent scattering functions 8700 1451 27/505 Imaginary anomalous scattering factor 8700 1451 27/506 Real anomalous scattering factor 8700 1451 =================================================================8700 1451 Warning 8700 1451 =================================================================8700 1451 MF/MT combinations used to define photoionization subshell cross8700 1451 sections (MF=23, MT=534-572) and coherent anomalous scattering 8700 1451 factors (MF=27, MT=505 AND 506) are newly defined MF/MT numbers 8700 1451 for ENDF/B-VI that did not exist in earlier versions of ENDF/B. 8700 1451 If you are not prepared to use this data you need merely delete 8700 1451 it and all of the remaining data will still be consistent and 8700 1451 equivalent to the types of data in earlier versions of ENDF/B. 8700 1451 However, this will limit the range of problems to which this 8700 1451 data can be applied (see: ref. 1 for details). 8700 1451 =================================================================8700 1451 Definition of new types of data 8700 1451 =================================================================8700 1451 1) The total photoionization cross section is equal to the sum 8700 1451 of the photoionization subshell cross sections. 8700 1451 8700 1451 For each subshell on the second line of a section the C1 and 8700 1451 C2 fields are defined as, 8700 1451 8700 1451 EPE = The photoionization edge energy (similar to Q-value) 8700 1451 EFL = The fluorescence yield (eV/photoionization) 8700 1451 8700 1451 2) The angular distribution of coherently scattered photons is, 8700 1451 8700 1451 S(E,MU) = 3*T/8*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 8700 1451 8700 1451 S(E,MU) = Angular distributions (barns per unit cosine) 8700 1451 T = The Thomson cross section 8700 1451 MU = The cosine of the scattering angle 8700 1451 FF(M) = The atomic form factor 8700 1451 M = Momentum transfer = SIN(THETA/2)/LAMBDA/4*PI 8700 1451 F1(E) = The real anomalous scattering factor 8700 1451 F2(E) = The imaginary anomalous scattering factor 8700 1451 8700 1451 F1(E) and F2(E) are isotropic. 8700 1451 8700 1451 When F1(E) = F2(E) = 0 this reduces to the result obtained 8700 1451 using only form factors (the older ENDF/B convention). 8700 1451 =================================================================8700 1451 Differences between EPDL97 and the data base presented here 8700 1451 =================================================================8700 1451 1) Energy range - EPDL97 - 1 eV to 100 GeV 8700 1451 Here - 1 eV TO 100 GeV (previously 100 MeV) 8700 1451 2) Type of Data - EPDL97 - Photon interaction including 8700 1451 photoexcitation 8700 1451 Here - Photon interaction - ENDF/B-VI has 8700 1451 no provision for photoexcitation 8700 1451 3) Secondary E - EPDL97 - Average energy of each secondary 8700 1451 (photons, electrons, positrons) 8700 1451 HERE - No secondary energy data 8700 1451 4) Interpolation- EPDL97 - Cross sections are Log X vs. Log Y 8700 1451 interpolable - the total cross 8700 1451 section is not included 8700 1451 - Form factors and scattering functions 8700 1451 are Log X vs. Log y, except first 8700 1451 interval. 8700 1451 - Anomalous scattering factors linearly 8700 1451 interpolable (they can be negative) 8700 1451 Here - Up through ENDF/B-V photon interaction8700 1451 cross sections were Log X vs. Log Y. 8700 1451 - For the first two Mods. of ENDF/B-VI 8700 1451 in order to consistently define the 8700 1451 total cross sections at ALL energies 8700 1451 all cross sections were linearized. 8700 1451 This was NOT a good idea. 8700 1451 - Starting with Mod. 3, cross sections 8700 1451 are left in Log X vs. Log. Y form so 8700 1451 that they are IDENTICAL to what's in 8700 1451 EPDL97. 8700 1451 The total is defined ONLY at the 8700 1451 energies tabulated in any other cross 8700 1451 section. 8700 1451 WARNING - As a result the total cross section 8700 1451 MUST NOT be interpolated to define the8700 1451 total between tabulated energies. The 8700 1451 ONLY consist way to define the total 8700 1451 between tabulated energies is to 8700 1451 interpolate all of the partials and 8700 1451 add them up. 8700 1451 =================================================================8700 1451 References 8700 1451 =================================================================8700 1451 1) D.E. Cullen, M.H. Chen, J.H. Hubbell, S.T. Perkins, 8700 1451 E.F. Plechaty, J.A. Rathkopf and J.H. Scofield, Tables and 8700 1451 graphs of photon interaction cross sections from 10 eV to 100 8700 1451 GeV derived from the LLNL Evaluated Photon data library (EPDL), 8700 1451 UCRL-50400, Vol. 6, Rev. 4, Part A: Z = 1 to 50 and Part B: 8700 1451 Z = 51 to 100, Lawrence Livermore National Laboratory (1989) 8700 1451 2) D.E. Cullen, J.H. Hubbell and L.D. Kissel, EPDL97: the 8700 1451 Evaluated Photon Data Library, '97 Version, UCRL-50400, Vol. 6, 8700 1451 Rev. 5, Lawrence Livermore National Laboratory (1997) 8700 1451 3) D.E. Cullen "A Survey of Atomic Binding Energies for use 8700 1451 in EPICS2017" ,IAEA-NDS-224, (2017), Nuclear Data Section, 8700 1451 IAEA, Vienna, Austria 8700 1451 4) D.E. Cullen "A Survey of Photon Cross Section Data for use 8700 1451 in EPICS2017" ,IAEA-NDS-225, (2017), Nuclear Data Section, 8700 1451 IAEA, Vienna, Austria 8700 1451 5) D.E. Cullen,"EPICS2017: April 2019 Status Report", 8700 1451 IAEA-NDS-228, April 2019, Nuclear Data Section, 8700 1451 IAEA, Vienna, Austria. 8700 1451 6) D.E. Cullen,"EPICS2023: August 2023 Status Report", 8700 1451 IAEA-NDS-242, August 2023, Nuclear Data Section, 8700 1451 IAEA, Vienna, Austria. 8700 1451 8700 1451 These are the primary references to the contents of this library8700 1451 and they contain a complete list of references to the sources 8700 1451 of data used in this library, methods of evaluation, accuracy 8700 1451 of the data, etc. 8700 1451 =================================================================8700 1451 History 8700 1451 =================================================================8700 1451 1) Oct. 1989 - Initial Release 8700 1451 2) Aug. 1990 - Updated Photoelectic (total+shellS) 8700 1451 3) July 1997 - Complete re-evaluation 8700 1451 4) Sept.2014 - Updated based on recently published data. 8700 1451 - Insured Standard C, C++, FORTRAN format 8700 1451 5) Nov. 2017 - New Binding Energies (see, ref. 3) 8700 1451 - New Photoelectric and Coherent Cross Sections 8700 1451 - New Anomalous Scattering Factors (see, ref. 4) 8700 1451 - ALL Cross Sections Lin-Lin Interpolable 8700 1451 6) Aug. 2023 - Delete repeated points. Threshold start with XC=0.8700 1451 =================================================================8700 1451 ***************** Program FIXUP (Version 2023-2) ****************8700 1451 **************** Program DICTIN (VERSION 2023-1) ****************8700 1451 1 451 217 38700 1451 23 501 4446 38700 1451 23 502 199 38700 1451 23 504 132 38700 1451 23 515 72 38700 1451 23 516 145 38700 1451 23 517 96 38700 1451 23 522 4025 38700 1451 23 534 130 38700 1451 23 535 150 38700 1451 23 536 162 38700 1451 23 537 170 38700 1451 23 538 167 38700 1451 23 539 176 38700 1451 23 540 185 38700 1451 23 541 210 38700 1451 23 542 211 38700 1451 23 543 181 38700 1451 23 544 186 38700 1451 23 545 199 38700 1451 23 546 221 38700 1451 23 547 223 38700 1451 23 548 287 38700 1451 23 549 289 38700 1451 23 550 197 38700 1451 23 551 208 38700 1451 23 552 216 38700 1451 23 553 293 38700 1451 23 554 286 38700 1451 23 559 219 38700 1451 23 560 246 38700 1451 23 561 253 38700 1451 23 570 247 38700 1451 27 502 327 38700 1451 27 504 146 38700 1451 27 505 186 38700 1451 27 506 186 38700 1451 8700 1 0 8700 0 0 87000.0000 221.084000 0 0 0 0870023501 0.0 0.0 0 0 1 13327870023501 13327 2 870023501 1.00000000 2.03784E-4 1.05924839 2.61976E-4 1.10597719 3.07884E-4870023501 1.12500000 3.26577E-4 1.14237171 3.50975E-4 1.19922131 4.30831E-4870023501 1.25890000 5.14678E-4 1.26562500 5.24129E-4 1.33350268 6.60735E-4870023501 1.39234189 7.79172E-4 1.42382813 8.42559E-4 1.43816887 8.84009E-4870023501 1.50975292 .001090937 1.58490000 .001308194 1.60180664 .001357080870023501 1.67881736 .001677837 1.75288991 .001986388 1.80203247 .002191110870023501 1.81058131 .002242642 1.90069801 .002785897 1.99530000 .003356237870023501 2.02728653 .003549096 2.11352184 .004290621 2.20676274 .005092437870023501 2.25387571 .005497600 2.27938308 .005842163 2.39281892 .007374548870023501 2.51190000 .008983265 2.65040679 .010854508 2.66074055 .011074123870023501 2.77813064 .013568998 2.86955971 .015512176 2.94780509 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3.89490108 .077364784 3.89734514 .077955474 3.89973236 .078550219870023501 3.90206407 .079149135 3.90358835 .079551373 3.90657767 .080363628870023501 3.90947431 .081184246 3.91228114 .082012947 3.91500094 .082849511870023501 3.91763641 .083693600 3.92019016 .084545495 3.92387310 .085830227870023501 3.92738608 .087125718 3.93073695 .088426923 3.93394983 .089737568870023501 3.93801347 .091473550 3.94182709 .093190083 3.94540609 .094877345870023501 3.95036599 .097292740 3.95492224 .099606270 3.96038087 .102427814870023501 3.96735485 .105997295 3.97500605 .109723715 3.98110000 .112313647870023501 3.98359772 .113375182 4.00000000 .117590074 4.00000000 1933322.58870023501 4.00057426 1932420.86 4.01755079 1905763.75 4.03563949 1877360.28870023501 4.05317162 1849830.75 4.06330732 1835014.99 4.08104480 1809087.42870023501 4.12686326 1742112.76 4.13425724 1731304.69 4.20704557 1633677.50870023501 4.21696500 1620373.09 4.21699334 1620339.18 4.31519070 1502855.87870023501 4.32731903 1489542.86 4.39035856 1420345.72 4.40304158 1407294.40870023501 4.44759249 1361449.76 4.53484539 1277653.10 4.54794485 1266074.02870023501 4.62381000 1199014.09 4.71791355 1124376.62 4.75382974 1097920.13870023501 4.77428998 1082848.77 4.78974593 1071463.65 4.89955034 996726.265870023501 5.01187200 927202.017 5.01190000 927186.553 5.11387340 870868.856870023501 5.19173448 830876.651 5.30887201 775200.097 5.31075449 774305.336870023501 5.43250300 721585.760 5.48778412 700259.125 5.54306524 678932.492870023501 5.54309280 678922.589 5.62746110 648605.423 5.72551517 615946.165870023501 5.75647029 605635.821 5.88843700 565512.927 6.00827812 532962.348870023501 6.01046675 532407.829 6.09975685 509784.969 6.23959307 476895.010870023501 6.30960000 461836.685 6.38263500 446127.029 6.51253413 421117.150870023501 6.61169048 403284.219 6.68346399 391283.405 6.76326285 377940.720870023501 6.91831000 354189.886 6.97832917 345950.957 7.05936000 334827.723870023501 7.16703151 321003.938 7.20798427 316109.105 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2120.46585870023522 58482.6781 2115.49677 58531.5657 2110.72752 58626.6910 2101.44795870023522 58702.3552 2094.07198 58744.5108 2089.96510 58772.5165 2087.23959870023522 58834.1095 2081.24541 58851.2746 2079.57493 58884.3700 2076.36706870023522 58953.0080 2069.71433 59036.4397 2061.62793 59063.2518 2059.07314870023522 59075.3455 2057.94645 59106.1659 2055.07560 59181.7072 2048.03945870023522 59309.5989 2036.12998 59335.9718 2033.67465 59351.7028 2032.21562870023522 59395.0122 2028.20106 59423.5324 2025.55738 59437.7682 2024.23859870023522 59456.6026 2022.52160 59539.4327 2014.97063 59542.7795 2014.66563870023522 59546.1297 2014.36032 59567.8937 2012.37748 59603.3173 2009.15362870023522 59733.0734 1997.35358 59790.1264 1992.16521 59844.9162 1987.18279870023522 59867.0050 1985.18437 59966.9883 1976.13898 59993.6777 1973.72630870023522 60045.4552 1969.04665 60075.1786 1966.40012 60107.0997 1963.55806870023522 60126.9033 1961.79524 60129.6479 1961.55093 60148.5918 1959.86591870023522 60155.8242 1959.22336 60194.0669 1955.89158 60359.0193 1941.52119870023522 60451.3809 1933.47649 60457.8664 1932.91160 60505.7813 1928.74151870023522 60578.2743 1922.53917 60588.3231 1921.68347 60588.4939 1921.66893870023522 60760.5678 1907.02004 60781.7177 1905.21957 60783.4625 1905.07117870023522 60803.1126 1903.39996 60933.1356 1892.34202 60942.4804 1891.54747870023522 60952.0810 1890.74655 60987.7924 1887.78025 60991.6585 1887.45918870023522 61068.1444 1881.13194 61128.3915 1876.14822 61137.8925 1875.37566870023522 61162.3935 1873.38536 61223.6325 1868.41089 61359.7086 1857.36739870023522 61385.5999 1855.26655 61401.2376 1853.99876 61426.3403 1851.96365870023522 61635.2429 1835.02764 61659.5000 1833.06155 61690.2263 1830.57122870023522 61694.0030 1830.26513 61762.7171 1824.69624 61825.1577 1819.64058870023522 61864.0864 1816.48918 61866.1126 1816.32535 61906.7017 1813.05649870023522 61992.2778 1806.19842 61999.7808 1805.60973 62022.4490 1803.83164870023522 62042.5038 1802.25858 62055.6114 1801.23142 62143.8909 1794.31354870023522 62173.2478 1792.06104 62181.1731 1791.45295 62186.3524 1791.05589870023522 62192.9842 1790.54764 62312.9170 1781.38627 62344.7498 1778.95508870023522 62345.4354 1778.90275 62373.4800 1776.76223 62541.0642 1763.97163870023522 62544.6403 1763.69870 62620.6264 1758.02438 62671.3646 1754.23612870023522 62784.9125 1745.75832 62895.8270 1737.47736 62905.8207 1736.73135870023522 63073.9346 1724.18213 63095.7300 1722.55621 63095.7339 1722.55592870023522 63108.6374 1721.59418 63111.4520 1721.38454 63140.2125 1719.24250870023522 63201.3572 1714.70386 63219.9942 1713.32714 63273.7013 1709.36045870023522 63291.3922 1708.05384 63345.7436 1704.04407 63375.6711 1701.83623870023522 63459.7532 1695.63417 63533.5596 1690.19024 63600.4452 1685.37213870023522 63634.8600 1682.89307 63773.8416 1672.88469 63804.8164 1670.68951870023522 63804.8203 1670.68924 63826.3454 1669.16587 63826.3500 1669.16555870023522 63858.1557 1666.94519 63862.7350 1666.62557 63931.5094 1661.82536870023522 63954.1627 1660.24521 64082.3674 1651.35773 64091.7916 1650.70452870023522 64109.5310 1649.47514 64183.7338 1644.33286 64258.6203 1639.14719870023522 64379.8550 1630.75207 64438.5900 1626.68502 64565.4200 1617.90285870023522 64588.1737 1616.33527 64658.2248 1611.52873 64658.4031 1611.51649870023522 64660.3192 1611.38516 64711.5703 1607.87502 64714.6169 1607.66984870023522 64770.5019 1603.97294 64833.9435 1599.77699 64881.8440 1596.60901870023522 64901.5230 1595.30751 64921.7339 1593.97103 64938.1641 1592.88455870023522 65125.3366 1580.74779 65300.2145 1569.40861 65313.0567 1568.57678870023522 65313.0600 1568.57657 65329.3264 1567.52426 65471.6047 1558.32203870023522 65524.8813 1554.87624 65569.1270 1552.01470 65571.9087 1551.83479870023522 65614.7958 1549.06121 65678.9887 1544.98635 65955.7850 1527.41810870023522 65974.3294 1526.24208 66057.4575 1520.99477 66062.5156 1520.67578870023522 66069.3400 1520.24549 66069.3421 1520.24536 66144.0796 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