15-P Evaluated Photon Data Library (EPDL97) by Red Cullen 6000 0 0 0 1.500000+4 3.070770+1 -1 0 0 31500 1451 1 0.0 0.0 0 0 0 61500 1451 2 0.0 0.0 0 0 3 61500 1451 3 0.0 0.0 0 0 139 191500 1451 4 15-P LLNL Eval-Jul97 D.E.Cullen, et al. 1500 1451 5 UCRL50400,Vol.6,Rev.5 Dist-Jul97 Rev0-Oct89 1500 1451 6 ---- ENDF/B-VI MATERIAL 1500 1500 1451 7 ----- PHOTO-ATOMIC INTERACTION DATA 1500 1451 8 ------ ENDF/B-6 1500 1451 9 =================================================================1500 1451 10 The Livermore Evaluated Photon Data Library (EPDL97) in the 1500 1451 11 ENDF/B-VI format 1500 1451 12 =================================================================1500 1451 13 Contents 1500 1451 14 =================================================================1500 1451 15 MF/MT Description 1500 1451 16 =================================================================1500 1451 17 23/501 Total cross sections 1500 1451 18 23/502 Coherent scattering cross sections 1500 1451 19 23/504 Incoherent scattering cross sections 1500 1451 20 23/515 Pair production cross sections, Electron field 1500 1451 21 23/516 Pair production cross sections, Total 1500 1451 22 23/517 Pair production cross sections, Nuclear field 1500 1451 23 23/522 Total photoionization cross section 1500 1451 24 23/534 K (1S1/2) Photoionization subshell cross section 1500 1451 25 23/535 L1 (2S1/2) Photoionization subshell cross section 1500 1451 26 23/536 L2 (2P1/2) Photoionization subshell cross section 1500 1451 27 23/537 L3 (2P3/2) Photoionization subshell cross section 1500 1451 28 23/538 M1 (3S1/2) Photoionization subshell cross section 1500 1451 29 23/539 M2 (3P1/2) Photoionization subshell cross section 1500 1451 30 23/540 M3 (3P3/2) Photoionization subshell cross section 1500 1451 31 =================================================================1500 1451 32 27/502 Coherent scattering form factors 1500 1451 33 27/504 Incoherent scattering functions 1500 1451 34 27/505 Imaginary anomalous scattering factor 1500 1451 35 27/506 Real anomalous scattering factor 1500 1451 36 =================================================================1500 1451 37 Warning 1500 1451 38 =================================================================1500 1451 39 MF/MT combinations used to define photoionization subshell cross1500 1451 40 sections (MF=23, MT=534-572) and coherent anomalous scattering 1500 1451 41 factors (MF=27, MT=505 AND 506) are newly defined MF/MT numbers 1500 1451 42 for ENDF/B-VI that did not exist in earlier versions of ENDF/B. 1500 1451 43 If you are not prepared to use this data you need merely delete 1500 1451 44 it and all of the remaining data will still be consistent and 1500 1451 45 equivalent to the types of data in earlier versions of ENDF/B. 1500 1451 46 However, this will limit the range of problems to which this 1500 1451 47 data can be applied (see: ref. 1 for details). 1500 1451 48 =================================================================1500 1451 49 Definition of new types of data 1500 1451 50 =================================================================1500 1451 51 1) The total photoionization cross section is equal to the sum 1500 1451 52 of the photoionization subshell cross sections. 1500 1451 53 1500 1451 54 For each subshell on the second line of a section the C1 and 1500 1451 55 C2 fields are defined as, 1500 1451 56 1500 1451 57 EPE = The photoionization edge energy (similar to Q-value) 1500 1451 58 EFL = The fluorescence yield (eV/photoionization) 1500 1451 59 1500 1451 60 2) The angular distribution of coherently scattered photons is, 1500 1451 61 1500 1451 62 S(E,MU) = 3*T/8*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 1500 1451 63 1500 1451 64 S(E,MU) = Angular distributions (barns per unit cosine) 1500 1451 65 T = The Thomson cross section 1500 1451 66 MU = The cosine of the scattering angle 1500 1451 67 FF(M) = The atomic form factor 1500 1451 68 M = Momentum transfer = SIN(THETA/2)/LAMBDA/4*PI 1500 1451 69 F1(E) = The real anomalous scattering factor 1500 1451 70 F2(E) = The imaginary anomalous scattering factor 1500 1451 71 1500 1451 72 F1(E) and F2(E) are isotropic. 1500 1451 73 1500 1451 74 When F1(E) = F2(E) = 0 this reduces to the result obtained 1500 1451 75 using only form factors (the older ENDF/B convention). 1500 1451 76 =================================================================1500 1451 77 Differences between EPDL97 and the data base presented here 1500 1451 78 =================================================================1500 1451 79 1) Energy range - EPDL97 - 1 eV to 100 GeV 1500 1451 80 Here - 1 eV TO 100 GeV (previously 100 MeV) 1500 1451 81 2) Type of Data - EPDL97 - Photon interaction including 1500 1451 82 photoexcitation 1500 1451 83 Here - Photon interaction - ENDF/B-VI has 1500 1451 84 no provision for photoexcitation 1500 1451 85 3) Secondary E - EPDL97 - Average energy of each secondary 1500 1451 86 (photons, electrons, positrons) 1500 1451 87 HERE - No secondary energy data 1500 1451 88 4) Interpolation- EPDL97 - Cross sections are Log X vs. Log Y 1500 1451 89 interpolable - the total cross 1500 1451 90 section is not included 1500 1451 91 - Form factors and scattering functions 1500 1451 92 are Log X vs. Log y, except first 1500 1451 93 interval. 1500 1451 94 - Anomalous scattering factors linearly 1500 1451 95 interpolable (they can be negative) 1500 1451 96 Here - Up through ENDF/B-V photon interaction1500 1451 97 cross sections were Log X vs. Log Y. 1500 1451 98 - For the first two Mods. of ENDF/B-VI 1500 1451 99 in order to consistently define the 1500 1451 100 total cross sections at ALL energies 1500 1451 101 all cross sections were linearized. 1500 1451 102 This was NOT a good idea. 1500 1451 103 - Starting with Mod. 3, cross sections 1500 1451 104 are left in Log X vs. Log. Y form so 1500 1451 105 that they are IDENTICAL to what's in 1500 1451 106 EPDL97. 1500 1451 107 The total is defined ONLY at the 1500 1451 108 energies tabulated in any other cross 1500 1451 109 section. 1500 1451 110 WARNING - As a result the total cross section 1500 1451 111 MUST NOT be interpolated to define the1500 1451 112 total between tabulated energies. The 1500 1451 113 ONLY consist way to define the total 1500 1451 114 between tabulated energies is to 1500 1451 115 interpolate all of the partials and 1500 1451 116 add them up. 1500 1451 117 =================================================================1500 1451 118 References 1500 1451 119 =================================================================1500 1451 120 1) D.E. Cullen, M.H. Chen, J.H. Hubbell, S.T. Perkins, 1500 1451 121 E.F. Plechaty, J.A. Rathkopf and J.H. Scofield, Tables and 1500 1451 122 graphs of photon interaction cross sections from 10 eV to 100 1500 1451 123 GeV derived from the LLNL Evaluated Photon data library (EPDL), 1500 1451 124 UCRL-50400, Vol. 6, Rev. 4, Part A: Z = 1 to 50 and Part B: 1500 1451 125 Z = 51 to 100, Lawrence Livermore National Laboratory (1989) 1500 1451 126 1500 1451 127 2) D.E. Cullen, J.H. Hubbell and L.D. Kissel, EPDL97: the 1500 1451 128 Evaluated Photon Data Library, '97 Version, UCRL-50400, Vol. 6, 1500 1451 129 Rev. 5, Lawrence Livermore National Laboratory (1997) 1500 1451 130 1500 1451 131 These are the primary references to the contents of this library1500 1451 132 and they contain a complete list of references to the sources 1500 1451 133 of data used in this library, methods of evaluation, accuracy 1500 1451 134 of the data, etc. 1500 1451 135 =================================================================1500 1451 136 History 1500 1451 137 =================================================================1500 1451 138 Mod. 1 - October, 1989 - Initial release. 1500 1451 139 Mod. 2 - August, 1990 - Updated photoionization total and 1500 1451 140 subshell cross sections. 1500 1451 141 Mod. 3 - July, 1997 - Complete re-evaluation. 1500 1451 142 =================================================================1500 1451 143 1 451 162 31500 1451 144 23 501 537 31500 1451 145 23 502 247 31500 1451 146 23 504 40 31500 1451 147 23 515 32 31500 1451 148 23 516 48 31500 1451 149 23 517 37 31500 1451 150 23 522 220 31500 1451 151 23 534 24 31500 1451 152 23 535 32 31500 1451 153 23 536 40 31500 1451 154 23 537 43 31500 1451 155 23 538 53 31500 1451 156 23 539 58 31500 1451 157 23 540 59 31500 1451 158 27 502 53 31500 1451 159 27 504 54 31500 1451 160 27 505 100 31500 1451 161 27 506 106 31500 1451 162 1500 1 0 163 1500 0 0 164 1.500000+4 3.070770+1 0 0 0 0150023501 165 0.0 0.0 0 0 1 1600150023501 166 1600 5 150023501 167 1.000000+0 2.637604-4 1.041301+0 3.093081-4 1.073842+0 3.507570-4150023501 168 1.107399+0 3.993193-4 1.142006+0 4.562650-4 1.200000+0 5.679842-4150023501 169 1.252449+0 6.766992-4 1.258900+0 6.914952-4 1.291588+0 7.703010-4150023501 170 1.350000+0 9.325920-4 1.416498+0 1.138711-3 1.460763+0 1.300384-3150023501 171 1.518750+0 1.544147-3 1.553488+0 1.696493-3 1.584900+0 1.847843-3150023501 172 1.602034+0 1.934641-3 1.652098+0 2.216233-3 1.708594+0 2.578875-3150023501 173 1.756967+0 2.905980-3 1.811873+0 3.326695-3 1.995300+0 5.173326-3150023501 174 2.113233+0 6.729228-3 2.247374+0 8.962402-3 2.390030+0 1.202717-2150023501 175 2.511900+0 1.535379-2 2.541741+0 1.627045-2 2.697050+0 2.196363-2150023501 176 2.851865+0 2.945830-2 2.912283+0 3.293550-2 2.979591+0 3.729457-2150023501 177 3.044795+0 4.206751-2 3.162300+0 5.211718-2 3.169155+0 5.275956-2150023501 178 3.228436+0 5.877493-2 3.285864+0 6.529741-2 3.397131+0 8.000726-2150023501 179 3.501443+0 9.678339-2 3.599236+0 1.158698-1 3.690917+0 1.373676-1150023501 180 3.776868+0 1.614653-1 3.857448+0 1.884151-1 3.943088+0 2.226724-1150023501 181 3.981100+0 2.401976-1 4.004939+0 2.517928-1 4.082359+0 2.947776-1150023501 182 4.135608+0 3.292177-1 4.195704+0 3.743581-1 4.254864+0 4.262472-1150023501 183 4.296804+0 4.685364-1 4.344887+0 5.241944-1 4.399213+0 5.977486-1150023501 184 4.432226+0 6.491358-1 4.482025+0 7.384136-1 4.510759+0 7.975405-1150023501 185 4.543809+0 8.740987-1 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6.929569+0-6.512542+0 6.942710+0-7.561398+0150027506 1887 6.976449+0-9.594011+0 7.009648+0-1.149346+1 7.106008+0-1.540896+1150027506 1888 7.140475+0-1.652637+1 7.209763+0-1.545271+1 7.262717+0-1.348060+1150027506 1889 7.317320+0-1.057118+1 7.342291+0-9.097525+0 7.363537+0-8.354918+0150027506 1890 7.385697+0-8.318081+0 7.401050+0-8.861104+0 7.410034+0-9.462654+0150027506 1891 7.428139+0-1.119220+1 7.447906+0-1.375009+1 7.472596+0-1.723746+1150027506 1892 7.479682+0-1.683489+1 7.489911+0-1.550181+1 7.512874+0-1.326501+1150027506 1893 7.534811+0-1.218766+1 7.554875+0-1.201941+1 7.577565+0-1.279803+1150027506 1894 7.613686+0-1.504449+1 7.647896+0-1.786848+1 7.691688+0-1.554873+1150027506 1895 7.722954+0-1.515746+1 7.758054+0-1.605143+1 7.806538+0-1.833005+1150027506 1896 7.846396+0-1.762210+1 7.903392+0-1.820104+1 7.991096+0-1.890960+1150027506 1897 8.202299+0-1.965825+1 8.376843+0-2.150161+1 8.428102+0-2.233219+1150027506 1898 8.568078+0-1.326657+1 8.605080+0-1.016745+1 8.617443+0-8.767092+0150027506 1899 8.651910+0-4.648026+0 8.659864+0-3.506322+0 8.668894+0-2.084898+0150027506 1900 8.673409+0-1.319746+0 8.675666+0-8.955244-1 8.676795+0-6.625249-1150027506 1901 8.677924+0-3.906273-1 8.681075+0 3.286012-1 8.683726+0 8.572730-1150027506 1902 8.688366+0 1.653570+0 8.706875+0 4.537049+0 8.718922+0 6.289586+0150027506 1903 8.724967+0 7.318992+0 8.747358+0 9.802240+0 8.759567+0 1.041871+1150027506 1904 8.768569+0 1.062843+1 8.777890+0 1.025273+1 8.785027+0 9.602874+0150027506 1905 8.795226+0 8.174976+0 8.803422+0 6.563113+0 8.808339+0 5.309479+0150027506 1906 8.817619+0 2.638301+0 8.820602+0 1.703486+0 8.822839+0 9.599241-1150027506 1907 8.826194+0-2.455781-1 8.827872+0-9.070918-1 8.828711+0-1.263010+0150027506 1908 8.830876+0-2.280636+0 8.843304+0-7.478773+0 8.850000+0-1.071572+1150027506 1909 8.854194+0-1.307472+1 8.863986+0-1.785598+1 8.871814+0-1.353483+1150027506 1910 8.873113+0-1.265511+1 8.893182+0-2.025869+0 8.893845+0-1.593834+0150027506 1911 8.895129+0-8.678165-1 8.897537+0 3.729161-1 8.899644+0 1.390512+0150027506 1912 8.918204+0 9.738733+0 8.925817+0 1.250319+1 8.938255+0 1.639681+1150027506 1913 8.951382+0 1.929561+1 8.966785+0 2.129758+1 8.978025+0 2.173384+1150027506 1914 8.996585+0 2.115283+1 9.020447+0 1.849623+1 9.039669+0 1.561508+1150027506 1915 9.044250+0 1.461315+1 9.069739+0 1.062109+1 9.102446+0 6.572220+0150027506 1916 9.109646+0 5.385460+0 9.118693+0 4.337154+0 9.127727+0 3.483355+0150027506 1917 9.136743+0 2.748860+0 9.145742+0 2.101640+0 9.154723+0 1.522955+0150027506 1918 9.163686+0 9.997367-1 9.172632+0 5.226550-1 9.181561+0 8.573601-2150027506 1919 9.199383+0-6.891811-1 9.217135+0-1.357049+0 9.234818+0-1.939545+0150027506 1920 9.252432+0-2.452655+0 9.287454+0-3.313914+0 9.339476+0-4.309759+0150027506 1921 9.390957+0-5.062479+0 9.492187+0-6.110054+0 9.634663+0-7.024317+0150027506 1922 9.860707+0-7.799152+0 1.013965+1-8.237540+0 1.066871+1-8.433315+0150027506 1923 1.319885+1-8.075234+0 1.597314+1-8.533266+0 2.207347+1-9.895399+0150027506 1924 2.975605+1-1.066810+1 4.650000+1-1.109187+1 8.201250+1-1.162282+1150027506 1925 1.044870+2-1.268102+1 1.186960+2-1.407894+1 1.271720+2-1.566726+1150027506 1926 1.317862+2-1.729840+1 1.360385+2-2.040599+1 1.384199+2-2.198938+1150027506 1927 1.404851+2-2.163769+1 1.452938+2-1.814559+1 1.510000+2-1.582230+1150027506 1928 1.589921+2-1.387001+1 1.689066+2-1.247308+1 1.736061+2-1.240344+1150027506 1929 1.758830+2-1.322172+1 1.770462+2-1.283702+1 1.776431+2-1.298311+1150027506 1930 1.784966+2-1.161152+1 1.794329+2-9.760422+0 1.800348+2-8.925750+0150027506 1931 1.806149+2-8.575811+0 1.814619+2-8.723748+0 1.834977+2-9.834863+0150027506 1932 1.851279+2-9.916029+0 1.893347+2-9.135022+0 2.040420+2-7.415739+0150027506 1933 2.225537+2-5.762981+0 2.414764+2-4.516671+0 2.590698+2-3.638998+0150027506 1934 2.778113+2-2.931168+0 2.966464+2-2.395825+0 3.155241+2-2.001794+0150027506 1935 3.315639+2-1.734164+0 3.584058+2-1.399567+0 3.790967+2-1.211339+0150027506 1936 4.081138+2-1.024643+0 4.516985+2-8.333398-1 4.817831+2-7.479375-1150027506 1937 5.208573+2-6.754241-1 5.770985+2-6.307998-1 6.475153+2-6.311831-1150027506 1938 7.467140+2-6.826243-1 9.635628+2-8.748829-1 1.329741+3-1.263026+0150027506 1939 1.571256+3-1.587807+0 1.738667+3-1.903865+0 1.860633+3-2.244116+0150027506 1940 1.941304+3-2.582880+0 1.995980+3-2.922233+0 2.038109+3-3.317358+0150027506 1941 2.071181+3-3.821551+0 2.090855+3-4.358766+0 2.120113+3-5.607520+0150027506 1942 2.131059+3-5.759886+0 2.140739+3-5.561327+0 2.173139+3-4.087053+0150027506 1943 2.191969+3-3.527810+0 2.215522+3-3.069990+0 2.250761+3-2.587881+0150027506 1944 2.294541+3-2.147497+0 2.349765+3-1.743397+0 2.421378+3-1.368913+0150027506 1945 2.487486+3-1.106454+0 2.560618+3-8.770399-1 2.639795+3-6.798651-1150027506 1946 2.716830+3-5.231995-1 2.806173+3-3.768056-1 2.871801+3-2.872226-1150027506 1947 2.949943+3-1.941372-1 3.020410+3-1.231809-1 3.098834+3-5.407725-2150027506 1948 3.171369+3 1.194284-3 3.186180+3 1.251940-2 3.266895+3 6.526961-2150027506 1949 3.349654+3 1.133981-1 3.447466+3 1.626610-1 3.551326+3 2.055504-1150027506 1950 3.713014+3 2.564636-1 3.829349+3 2.867493-1 4.087474+3 3.320183-1150027506 1951 4.430204+3 3.686489-1 4.797736+3 3.851408-1 5.559043+3 3.837829-1150027506 1952 7.148674+3 3.302424-1 9.407550+3 2.502773-1 1.146916+4 1.950021-1150027506 1953 1.341365+4 1.564735-1 1.568062+4 1.231915-1 1.811210+4 9.700316-2150027506 1954 2.043330+4 7.831102-2 2.319975+4 6.144712-2 2.555892+4 5.040865-2150027506 1955 2.838924+4 3.995302-2 3.097987+4 3.239383-2 3.380038+4 2.573354-2150027506 1956 3.738974+4 1.902387-2 4.106984+4 1.365520-2 4.436948+4 9.759286-3150027506 1957 4.767056+4 6.522068-3 5.072499+4 4.006816-3 5.265066+4 2.609316-3150027506 1958 5.363835+4 1.943181-3 5.492439+4 1.127384-3 5.617265+4 3.804255-4150027506 1959 5.731776+4-2.683063-4 5.840652+4-8.545145-4 5.972616+4-1.524739-3150027506 1960 6.092128+4-2.100779-3 6.385569+4-3.387333-3 6.766099+4-4.840892-3150027506 1961 7.246882+4-6.383577-3 7.883946+4-8.052636-3 8.779638+4-9.861118-3150027506 1962 1.022190+5-1.190699-2 1.216843+5-1.367075-2 1.525450+5-1.527718-2150027506 1963 2.085359+5-1.667356-2 3.184307+5-1.764544-2 7.296675+5-1.823608-2150027506 1964 2.235892+6-1.836021-2 6.752287+6-1.837338-2 1.000000+7-1.837273-2150027506 1965 150027 0 1966 1500 0 0 1967 0 0 0 0 -1 0 0 0