The Livermore Evaluated Photon Data Library (EPDL97) July 1997 6000 0 0 0 1.000000+3 9.992420-1 -1 0 0 3 100 1451 1 0.0 0.0 0 0 0 6 100 1451 2 0.0 0.0 0 0 3 6 100 1451 3 0.0 0.0 0 0 133 13 100 1451 4 1-H LLNL Eval-Jul97 D.E.Cullen, et al. 100 1451 5 UCRL50400,Vol.6,Rev.5 Dist-Jul97 Rev0-Oct89 100 1451 6 ---- ENDF/B-VI MATERIAL 100 100 1451 7 ----- PHOTO-ATOMIC INTERACTION DATA 100 1451 8 ------ ENDF/B-6 100 1451 9 ================================================================= 100 1451 10 The Livermore Evaluated Photon Data Library (EPDL97) in the 100 1451 11 ENDF/B-VI format 100 1451 12 ================================================================= 100 1451 13 Contents 100 1451 14 ================================================================= 100 1451 15 MF/MT Description 100 1451 16 ================================================================= 100 1451 17 23/501 Total cross sections 100 1451 18 23/502 Coherent scattering cross sections 100 1451 19 23/504 Incoherent scattering cross sections 100 1451 20 23/515 Pair production cross sections, Electron field 100 1451 21 23/516 Pair production cross sections, Total 100 1451 22 23/517 Pair production cross sections, Nuclear field 100 1451 23 23/522 Total photoionization cross section 100 1451 24 23/534 K (1S1/2) Photoionization subshell cross section 100 1451 25 ================================================================= 100 1451 26 27/502 Coherent scattering form factors 100 1451 27 27/504 Incoherent scattering functions 100 1451 28 27/505 Imaginary anomalous scattering factor 100 1451 29 27/506 Real anomalous scattering factor 100 1451 30 ================================================================= 100 1451 31 Warning 100 1451 32 ================================================================= 100 1451 33 MF/MT combinations used to define photoionization subshell cross 100 1451 34 sections (MF=23, MT=534-572) and coherent anomalous scattering 100 1451 35 factors (MF=27, MT=505 AND 506) are newly defined MF/MT numbers 100 1451 36 for ENDF/B-VI that did not exist in earlier versions of ENDF/B. 100 1451 37 If you are not prepared to use this data you need merely delete 100 1451 38 it and all of the remaining data will still be consistent and 100 1451 39 equivalent to the types of data in earlier versions of ENDF/B. 100 1451 40 However, this will limit the range of problems to which this 100 1451 41 data can be applied (see: ref. 1 for details). 100 1451 42 ================================================================= 100 1451 43 Definition of new types of data 100 1451 44 ================================================================= 100 1451 45 1) The total photoionization cross section is equal to the sum 100 1451 46 of the photoionization subshell cross sections. 100 1451 47 100 1451 48 For each subshell on the second line of a section the C1 and 100 1451 49 C2 fields are defined as, 100 1451 50 100 1451 51 EPE = The photoionization edge energy (similar to Q-value) 100 1451 52 EFL = The fluorescence yield (eV/photoionization) 100 1451 53 100 1451 54 2) The angular distribution of coherently scattered photons is, 100 1451 55 100 1451 56 S(E,MU) = 3*T/8*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 100 1451 57 100 1451 58 S(E,MU) = Angular distributions (barns per unit cosine) 100 1451 59 T = The Thomson cross section 100 1451 60 MU = The cosine of the scattering angle 100 1451 61 FF(M) = The atomic form factor 100 1451 62 M = Momentum transfer = SIN(THETA/2)/LAMBDA/4*PI 100 1451 63 F1(E) = The real anomalous scattering factor 100 1451 64 F2(E) = The imaginary anomalous scattering factor 100 1451 65 100 1451 66 F1(E) and F2(E) are isotropic. 100 1451 67 100 1451 68 When F1(E) = F2(E) = 0 this reduces to the result obtained 100 1451 69 using only form factors (the older ENDF/B convention). 100 1451 70 ================================================================= 100 1451 71 Differences between EPDL97 and the data base presented here 100 1451 72 ================================================================= 100 1451 73 1) Energy range - EPDL97 - 1 eV to 100 GeV 100 1451 74 Here - 1 eV TO 100 GeV (previously 100 MeV) 100 1451 75 2) Type of Data - EPDL97 - Photon interaction including 100 1451 76 photoexcitation 100 1451 77 Here - Photon interaction - ENDF/B-VI has 100 1451 78 no provision for photoexcitation 100 1451 79 3) Secondary E - EPDL97 - Average energy of each secondary 100 1451 80 (photons, electrons, positrons) 100 1451 81 HERE - No secondary energy data 100 1451 82 4) Interpolation- EPDL97 - Cross sections are Log X vs. Log Y 100 1451 83 interpolable - the total cross 100 1451 84 section is not included 100 1451 85 - Form factors and scattering functions 100 1451 86 are Log X vs. Log y, except first 100 1451 87 interval. 100 1451 88 - Anomalous scattering factors linearly 100 1451 89 interpolable (they can be negative) 100 1451 90 Here - Up through ENDF/B-V photon interaction 100 1451 91 cross sections were Log X vs. Log Y. 100 1451 92 - For the first two Mods. of ENDF/B-VI 100 1451 93 in order to consistently define the 100 1451 94 total cross sections at ALL energies 100 1451 95 all cross sections were linearized. 100 1451 96 This was NOT a good idea. 100 1451 97 - Starting with Mod. 3, cross sections 100 1451 98 are left in Log X vs. Log. Y form so 100 1451 99 that they are IDENTICAL to what's in 100 1451 100 EPDL97. 100 1451 101 The total is defined ONLY at the 100 1451 102 energies tabulated in any other cross 100 1451 103 section. 100 1451 104 WARNING - As a result the total cross section 100 1451 105 MUST NOT be interpolated to define the 100 1451 106 total between tabulated energies. The 100 1451 107 ONLY consist way to define the total 100 1451 108 between tabulated energies is to 100 1451 109 interpolate all of the partials and 100 1451 110 add them up. 100 1451 111 ================================================================= 100 1451 112 References 100 1451 113 ================================================================= 100 1451 114 1) D.E. Cullen, M.H. Chen, J.H. Hubbell, S.T. Perkins, 100 1451 115 E.F. Plechaty, J.A. Rathkopf and J.H. Scofield, Tables and 100 1451 116 graphs of photon interaction cross sections from 10 eV to 100 100 1451 117 GeV derived from the LLNL Evaluated Photon data library (EPDL), 100 1451 118 UCRL-50400, Vol. 6, Rev. 4, Part A: Z = 1 to 50 and Part B: 100 1451 119 Z = 51 to 100, Lawrence Livermore National Laboratory (1989) 100 1451 120 100 1451 121 2) D.E. Cullen, J.H. Hubbell and L.D. Kissel, EPDL97: the 100 1451 122 Evaluated Photon Data Library, '97 Version, UCRL-50400, Vol. 6, 100 1451 123 Rev. 5, Lawrence Livermore National Laboratory (1997) 100 1451 124 100 1451 125 These are the primary references to the contents of this library 100 1451 126 and they contain a complete list of references to the sources 100 1451 127 of data used in this library, methods of evaluation, accuracy 100 1451 128 of the data, etc. 100 1451 129 ================================================================= 100 1451 130 History 100 1451 131 ================================================================= 100 1451 132 Mod. 1 - October, 1989 - Initial release. 100 1451 133 Mod. 2 - August, 1990 - Updated photoionization total and 100 1451 134 subshell cross sections. 100 1451 135 Mod. 3 - July, 1997 - Complete re-evaluation. 100 1451 136 ================================================================= 100 1451 137 1 451 150 3 100 1451 138 23 501 219 3 100 1451 139 23 502 124 3 100 1451 140 23 504 40 3 100 1451 141 23 515 29 3 100 1451 142 23 516 40 3 100 1451 143 23 517 31 3 100 1451 144 23 522 28 3 100 1451 145 23 534 28 3 100 1451 146 27 502 33 3 100 1451 147 27 504 35 3 100 1451 148 27 505 68 3 100 1451 149 27 506 106 3 100 1451 150 100 1 0 151 100 0 0 152 1.000000+3 9.992420-1 0 0 0 0 10023501 153 0.0 0.0 0 0 1 647 10023501 154 647 5 10023501 155 1.000000+0 9.983176-6 1.059784+0 1.245986-5 1.126020+0 1.550751-5 10023501 156 1.196396+0 1.947182-5 1.258900+0 2.373373-5 1.271171+0 2.464579-5 10023501 157 1.350619+0 3.138769-5 1.392826+0 3.556197-5 1.481238+0 4.589995-5 10023501 158 1.575262+0 5.953684-5 1.584900+0 6.112269-5 1.727606+0 8.863468-5 10023501 159 1.894683+0 1.329583-4 1.995300+0 1.672387-4 2.048000+0 1.877305-4 10023501 160 2.209817+0 2.540113-4 2.278874+0 2.880119-4 2.423529+0 3.725199-4 10023501 161 2.511900+0 4.345615-4 2.577366+0 4.854166-4 2.740969+0 6.368359-4 10023501 162 2.914956+0 8.407598-4 3.072000+0 1.069670-3 3.162300+0 1.213205-3 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2.646296-1 1.245961+1 1.940171-1 1.246967+1 9.696672-2 10027506 891 1.247972+1 6.106422-3 1.250654+1-2.283444-1 1.251420+1-3.024934-1 10027506 892 1.254651+1-5.853247-1 1.258344+1-8.624374-1 1.261369+1-1.017884+0 10027506 893 1.264158+1-1.069277+0 1.266378+1-1.031939+0 1.268694+1-9.238181-1 10027506 894 1.271947+1-6.519609-1 1.273067+1-5.211525-1 1.275236+1-2.954529-1 10027506 895 1.275742+1-2.265967-1 1.278614+1 8.323287-2 1.278806+1 1.086953-1 10027506 896 1.279165+1 1.470871-1 1.279793+1 2.046352-1 1.282061+1 3.814757-1 10027506 897 1.283408+1 4.518778-1 1.284508+1 4.891641-1 1.285951+1 5.153648-1 10027506 898 1.287343+1 5.145939-1 1.289410+1 4.666812-1 1.290613+1 4.243827-1 10027506 899 1.294191+1 2.438835-1 1.294588+1 2.199549-1 1.297369+1 9.656701-2 10027506 900 1.297798+1 7.562429-2 1.298549+1 4.821641-2 1.300310+1-1.469445-3 10027506 901 1.300802+1-1.545160-2 1.301384+1-2.969137-2 1.302256+1-4.188024-2 10027506 902 1.302692+1-4.471488-2 1.303128+1-4.345837-2 1.304147+1-4.204887-2 10027506 903 1.307924+1-5.306100-2 1.309002+1-4.851646-2 1.309541+1-4.326423-2 10027506 904 1.310079+1-3.363414-2 1.312347+1-2.174342-3 1.312726+1 2.988046-3 10027506 905 1.313609+1 1.490655-2 1.314550+1 2.792702-2 1.318077+1 5.385176-2 10027506 906 1.321531+1 6.788954-2 1.324785+1 7.724259-2 1.328032+1 8.177844-2 10027506 907 1.331799+1 8.391054-2 1.334334+1 8.387269-2 1.336517+1 8.803772-2 10027506 908 1.339405+1 8.735696-2 1.342543+1 8.049446-2 1.343596+1 7.964892-2 10027506 909 1.344648+1 8.408387-2 1.348745+1 8.686238-2 1.350870+1 9.228173-2 10027506 910 1.351542+1 9.573831-2 1.353404+1 9.021062-2 1.353649+1 9.010705-2 10027506 911 1.356507+1 7.658814-2 1.357600+1 7.501167-2 1.358052+1 7.277256-2 10027506 912 1.359345+1 7.151601-2 1.359970+1 7.299143-2 1.360315+1 7.263092-2 10027506 913 1.361403+1 7.496088-2 1.362498+1 7.340118-2 1.363551+1 7.639792-2 10027506 914 1.364626+1 7.666415-2 1.366294+1 7.196973-2 1.367275+1 7.144980-2 10027506 915 1.367912+1 7.291183-2 1.369114+1 7.205245-2 1.370123+1 7.431139-2 10027506 916 1.370841+1 7.262007-2 1.373981+1 7.239788-2 1.375408+1 7.334960-2 10027506 917 1.377386+1 7.353082-2 1.378603+1 7.479186-2 1.379886+1 7.440585-2 10027506 918 1.385305+1 7.934108-2 1.393131+1 8.392893-2 1.398189+1 8.978944-2 10027506 919 1.406809+1 9.798967-2 1.411998+1 1.022744-1 1.443188+1 1.212699-1 10027506 920 1.480491+1 1.388700-1 1.507483+1 1.501103-1 1.592177+1 1.771639-1 10027506 921 1.697274+1 1.999198-1 1.828241+1 2.164973-1 2.043037+1 2.260132-1 10027506 922 2.355835+1 2.216402-1 3.184728+1 1.822885-1 4.077574+1 1.422589-1 10027506 923 4.959088+1 1.127463-1 5.904805+1 8.982780-2 6.959558+1 7.164369-2 10027506 924 7.951414+1 5.918889-2 9.129327+1 4.820859-2 1.053750+2 3.870251-2 10027506 925 1.203923+2 3.143820-2 1.376570+2 2.533864-2 1.562751+2 2.062427-2 10027506 926 1.753067+2 1.704816-2 1.955877+2 1.418944-2 2.209937+2 1.151544-2 10027506 927 2.523971+2 9.170053-3 2.845984+2 7.434307-3 3.162278+2 6.172641-3 10027506 928 3.559126+2 4.999223-3 4.002864+2 4.046395-3 4.450825+2 3.337785-3 10027506 929 5.026628+2 2.668525-3 5.664023+2 2.136827-3 6.413915+2 1.691005-3 10027506 930 7.168310+2 1.368239-3 8.002919+2 1.105914-3 9.094616+2 8.493078-4 10027506 931 1.015460+3 6.699192-4 1.129144+3 5.309044-4 1.260279+3 4.150446-4 10027506 932 1.396819+3 3.273144-4 1.512472+3 2.716444-4 1.671706+3 2.175218-4 10027506 933 1.839793+3 1.749417-4 2.032251+3 1.385658-4 2.243069+3 1.089676-4 10027506 934 2.485172+3 8.382992-5 2.701166+3 6.686666-5 2.916702+3 5.355524-5 10027506 935 3.162278+3 4.158092-5 3.442126+3 3.093656-5 3.718196+3 2.270183-5 10027506 936 3.946484+3 1.715676-5 4.166398+3 1.265378-5 4.356780+3 9.293390-6 10027506 937 4.545369+3 6.372228-6 4.726559+3 3.888578-6 4.838512+3 2.491493-6 10027506 938 4.901995+3 1.741458-6 5.015101+3 4.750420-7 5.134475+3-7.718234-7 10027506 939 5.217491+3-1.588941-6 5.412020+3-3.358508-6 5.657012+3-5.332664-6 10027506 940 6.001012+3-7.707167-6 6.482416+3-1.041694-5 7.153575+3-1.332098-5 10027506 941 8.045052+3-1.611238-5 9.427917+3-1.897833-5 1.145918+4-2.145870-5 10027506 942 1.489084+4-2.357779-5 2.181041+4-2.522066-5 4.251628+4-2.627762-5 10027506 943 1.294220+5-2.661436-5 3.912911+5-2.665064-5 1.228714+6-2.665465-5 10027506 944 3.710658+6-2.665505-5 1.000000+7-2.665509-5 10027506 945 10027 0 946 100 0 0 947 0 0 0 948 2.000000+3 3.968220+0 -1 0 0 3 200 1451 1 0.0 0.0 0 0 0 6 200 1451 2 0.0 0.0 0 0 3 6 200 1451 3 0.0 0.0 0 0 133 13 200 1451 4 2-HE LLNL Eval-Jul97 D.E.Cullen, et al. 200 1451 5 UCRL50400,Vol.6,Rev.5 Dist-Jul97 Rev0-Oct89 200 1451 6 ---- ENDF/B-VI MATERIAL 200 200 1451 7 ----- PHOTO-ATOMIC INTERACTION DATA 200 1451 8 ------ ENDF/B-6 200 1451 9 ================================================================= 200 1451 10 The Livermore Evaluated Photon Data Library (EPDL97) in the 200 1451 11 ENDF/B-VI format 200 1451 12 ================================================================= 200 1451 13 Contents 200 1451 14 ================================================================= 200 1451 15 MF/MT Description 200 1451 16 ================================================================= 200 1451 17 23/501 Total cross sections 200 1451 18 23/502 Coherent scattering cross sections 200 1451 19 23/504 Incoherent scattering cross sections 200 1451 20 23/515 Pair production cross sections, Electron field 200 1451 21 23/516 Pair production cross sections, Total 200 1451 22 23/517 Pair production cross sections, Nuclear field 200 1451 23 23/522 Total photoionization cross section 200 1451 24 23/534 K (1S1/2) Photoionization subshell cross section 200 1451 25 ================================================================= 200 1451 26 27/502 Coherent scattering form factors 200 1451 27 27/504 Incoherent scattering functions 200 1451 28 27/505 Imaginary anomalous scattering factor 200 1451 29 27/506 Real anomalous scattering factor 200 1451 30 ================================================================= 200 1451 31 Warning 200 1451 32 ================================================================= 200 1451 33 MF/MT combinations used to define photoionization subshell cross 200 1451 34 sections (MF=23, MT=534-572) and coherent anomalous scattering 200 1451 35 factors (MF=27, MT=505 AND 506) are newly defined MF/MT numbers 200 1451 36 for ENDF/B-VI that did not exist in earlier versions of ENDF/B. 200 1451 37 If you are not prepared to use this data you need merely delete 200 1451 38 it and all of the remaining data will still be consistent and 200 1451 39 equivalent to the types of data in earlier versions of ENDF/B. 200 1451 40 However, this will limit the range of problems to which this 200 1451 41 data can be applied (see: ref. 1 for details). 200 1451 42 ================================================================= 200 1451 43 Definition of new types of data 200 1451 44 ================================================================= 200 1451 45 1) The total photoionization cross section is equal to the sum 200 1451 46 of the photoionization subshell cross sections. 200 1451 47 200 1451 48 For each subshell on the second line of a section the C1 and 200 1451 49 C2 fields are defined as, 200 1451 50 200 1451 51 EPE = The photoionization edge energy (similar to Q-value) 200 1451 52 EFL = The fluorescence yield (eV/photoionization) 200 1451 53 200 1451 54 2) The angular distribution of coherently scattered photons is, 200 1451 55 200 1451 56 S(E,MU) = 3*T/8*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 200 1451 57 200 1451 58 S(E,MU) = Angular distributions (barns per unit cosine) 200 1451 59 T = The Thomson cross section 200 1451 60 MU = The cosine of the scattering angle 200 1451 61 FF(M) = The atomic form factor 200 1451 62 M = Momentum transfer = SIN(THETA/2)/LAMBDA/4*PI 200 1451 63 F1(E) = The real anomalous scattering factor 200 1451 64 F2(E) = The imaginary anomalous scattering factor 200 1451 65 200 1451 66 F1(E) and F2(E) are isotropic. 200 1451 67 200 1451 68 When F1(E) = F2(E) = 0 this reduces to the result obtained 200 1451 69 using only form factors (the older ENDF/B convention). 200 1451 70 ================================================================= 200 1451 71 Differences between EPDL97 and the data base presented here 200 1451 72 ================================================================= 200 1451 73 1) Energy range - EPDL97 - 1 eV to 100 GeV 200 1451 74 Here - 1 eV TO 100 GeV (previously 100 MeV) 200 1451 75 2) Type of Data - EPDL97 - Photon interaction including 200 1451 76 photoexcitation 200 1451 77 Here - Photon interaction - ENDF/B-VI has 200 1451 78 no provision for photoexcitation 200 1451 79 3) Secondary E - EPDL97 - Average energy of each secondary 200 1451 80 (photons, electrons, positrons) 200 1451 81 HERE - No secondary energy data 200 1451 82 4) Interpolation- EPDL97 - Cross sections are Log X vs. Log Y 200 1451 83 interpolable - the total cross 200 1451 84 section is not included 200 1451 85 - Form factors and scattering functions 200 1451 86 are Log X vs. Log y, except first 200 1451 87 interval. 200 1451 88 - Anomalous scattering factors linearly 200 1451 89 interpolable (they can be negative) 200 1451 90 Here - Up through ENDF/B-V photon interaction 200 1451 91 cross sections were Log X vs. Log Y. 200 1451 92 - For the first two Mods. of ENDF/B-VI 200 1451 93 in order to consistently define the 200 1451 94 total cross sections at ALL energies 200 1451 95 all cross sections were linearized. 200 1451 96 This was NOT a good idea. 200 1451 97 - Starting with Mod. 3, cross sections 200 1451 98 are left in Log X vs. Log. Y form so 200 1451 99 that they are IDENTICAL to what's in 200 1451 100 EPDL97. 200 1451 101 The total is defined ONLY at the 200 1451 102 energies tabulated in any other cross 200 1451 103 section. 200 1451 104 WARNING - As a result the total cross section 200 1451 105 MUST NOT be interpolated to define the 200 1451 106 total between tabulated energies. The 200 1451 107 ONLY consist way to define the total 200 1451 108 between tabulated energies is to 200 1451 109 interpolate all of the partials and 200 1451 110 add them up. 200 1451 111 ================================================================= 200 1451 112 References 200 1451 113 ================================================================= 200 1451 114 1) D.E. Cullen, M.H. Chen, J.H. Hubbell, S.T. Perkins, 200 1451 115 E.F. Plechaty, J.A. Rathkopf and J.H. Scofield, Tables and 200 1451 116 graphs of photon interaction cross sections from 10 eV to 100 200 1451 117 GeV derived from the LLNL Evaluated Photon data library (EPDL), 200 1451 118 UCRL-50400, Vol. 6, Rev. 4, Part A: Z = 1 to 50 and Part B: 200 1451 119 Z = 51 to 100, Lawrence Livermore National Laboratory (1989) 200 1451 120 200 1451 121 2) D.E. Cullen, J.H. Hubbell and L.D. Kissel, EPDL97: the 200 1451 122 Evaluated Photon Data Library, '97 Version, UCRL-50400, Vol. 6, 200 1451 123 Rev. 5, Lawrence Livermore National Laboratory (1997) 200 1451 124 200 1451 125 These are the primary references to the contents of this library 200 1451 126 and they contain a complete list of references to the sources 200 1451 127 of data used in this library, methods of evaluation, accuracy 200 1451 128 of the data, etc. 200 1451 129 ================================================================= 200 1451 130 History 200 1451 131 ================================================================= 200 1451 132 Mod. 1 - October, 1989 - Initial release. 200 1451 133 Mod. 2 - August, 1990 - Updated photoionization total and 200 1451 134 subshell cross sections. 200 1451 135 Mod. 3 - July, 1997 - Complete re-evaluation. 200 1451 136 ================================================================= 200 1451 137 1 451 150 3 200 1451 138 23 501 214 3 200 1451 139 23 502 113 3 200 1451 140 23 504 40 3 200 1451 141 23 515 30 3 200 1451 142 23 516 42 3 200 1451 143 23 517 32 3 200 1451 144 23 522 31 3 200 1451 145 23 534 31 3 200 1451 146 27 502 46 3 200 1451 147 27 504 47 3 200 1451 148 27 505 63 3 200 1451 149 27 506 73 3 200 1451 150 200 1 0 151 200 0 0 152 2.000000+3 3.968220+0 0 0 0 0 20023501 153 0.0 0.0 0 0 1 631 20023501 154 631 5 20023501 155 1.000000+0 7.523831-8 1.088000+0 8.546017-8 1.156000+0 9.652515-8 20023501 156 1.228250+0 1.114253-7 1.258900+0 1.179537-7 1.305016+0 1.286409-7 20023501 157 1.386579+0 1.467111-7 1.473240+0 1.645612-7 1.565318+0 1.820202-7 20023501 158 1.584900+0 1.852342-7 1.663150+0 2.006140-7 1.767097+0 2.247407-7 20023501 159 1.877541+0 2.633792-7 1.994887+0 3.318066-7 1.995300+0 3.320733-7 20023501 160 2.048000+0 3.704417-7 2.119567+0 3.766214-7 2.252040+0 3.976541-7 20023501 161 2.392793+0 4.397840-7 2.511900+0 4.905851-7 2.542342+0 5.042196-7 20023501 162 2.701239+0 6.036631-7 2.785652+0 6.774959-7 2.962476+0 9.133180-7 20023501 163 3.055054+0 1.088934-6 3.072000+0 1.113598-6 3.150524+0 1.157712-6 20023501 164 3.162300+0 1.164121-6 3.248978+0 1.211866-6 3.350508+0 1.299972-6 20023501 165 3.455212+0 1.429666-6 3.563187+0 1.613314-6 3.674537+0 1.869508-6 20023501 166 3.789366+0 2.219856-6 3.840000+0 2.363191-6 3.907784+0 2.430692-6 20023501 167 3.981100+0 2.492419-6 4.029902+0 2.533899-6 4.155836+0 2.730875-6 20023501 168 4.285706+0 3.045064-6 4.419635+0 3.512665-6 4.557748+0 4.187977-6 20023501 169 4.700178+0 5.145143-6 4.800000+0 5.904838-6 4.847058+0 6.143684-6 20023501 170 4.998529+0 6.856403-6 5.011900+0 6.942575-6 5.154733+0 7.925791-6 20023501 171 5.315818+0 9.482112-6 5.400000+0 1.038601-5 5.481938+0 1.102548-5 20023501 172 5.653248+0 1.254622-5 5.829912+0 1.484091-5 6.012097+0 1.813612-5 20023501 173 6.075000+0 1.932871-5 6.199975+0 2.115394-5 6.309600+0 2.307298-5 20023501 174 6.393724+0 2.464405-5 6.593528+0 2.985372-5 6.799576+0 3.714709-5 20023501 175 6.834375+0 3.836065-5 7.012063+0 4.363506-5 7.231190+0 5.212981-5 20023501 176 7.457164+0 6.466435-5 7.690201+0 8.154508-5 7.930519+0 9.712477-5 20023501 177 7.943300+0 9.816428-5 8.178348+0 1.190892-4 8.433921+0 1.512273-4 20023501 178 8.649756+0 1.862349-4 8.969278+0 2.425133-4 9.190366+0 2.936343-4 20023501 179 9.538617+0 3.892995-4 9.764763+0 4.717684-4 9.824871+0 4.948766-4 20023501 180 1.000000+1 5.701080-4 1.010218+1 6.185146-4 1.063107+1 9.491195-4 20023501 181 1.088319+1 1.165912-3 1.102350+1 1.308407-3 1.112742+1 1.419503-3 20023501 182 1.136403+1 1.710064-3 1.159324+1 2.065036-3 1.223878+1 3.481212-3 20023501 183 1.244065+1 4.095941-3 1.258900+1 4.617213-3 1.263622+1 4.795274-3 20023501 184 1.282567+1 5.589295-3 1.318701+1 7.498386-3 1.335925+1 8.632841-3 20023501 185 1.352611+1 9.902369-3 1.368775+1 1.132023-2 1.385884+1 1.305507-2 20023501 186 1.412835+1 1.639708-2 1.428997+1 1.880480-2 1.456551+1 2.380410-2 20023501 187 1.482384+1 2.978081-2 1.506602+1 3.686405-2 1.529307+1 4.518111-2 20023501 188 1.550592+1 5.486240-2 1.570548+1 6.604016-2 1.584900+1 7.567355-2 20023501 189 1.589256+1 7.884733-2 1.606794+1 9.342205-2 1.623237+1 1.099010-1 20023501 190 1.640107+1 1.302708-1 1.653103+1 1.488895-1 1.668173+1 1.743921-1 20023501 191 1.679353+1 1.965794-1 1.691261+1 2.239241-1 1.703592+1 2.570442-1 20023501 192 1.712890+1 2.858364-1 1.724524+1 3.273681-1 1.732676+1 3.607770-1 20023501 193 1.740523+1 3.969020-1 1.748608+1 4.388330-1 1.756187+1 4.831080-1 20023501 194 1.770398+1 5.814605-1 1.782834+1 6.878755-1 1.793713+1 8.011530-1 20023501 195 1.803233+1 9.199425-1 1.811564+1 1.042647+0 1.818853+1 1.167555+0 20023501 196 1.825230+1 1.292928+0 1.830811+1 1.417110+0 1.840577+1 1.673915+0 20023501 197 1.847902+1 1.907332+0 1.853395+1 2.111026+0 1.861635+1 2.474063+0 20023501 198 1.869875+1 2.925789+0 1.874478+1 3.227827+0 1.879080+1 3.574478+0 20023501 199 1.883683+1 3.975183+0 1.888285+1 4.442237+0 1.892888+1 4.992068+0 20023501 200 1.897490+1 5.647313+0 1.902093+1 6.440130+0 1.906695+1 7.417329+0 20023501 201 1.911298+1 8.647948+0 1.915900+1 1.023361+1 1.920502+1 1.232134+1 20023501 202 1.922804+1 1.361531+1 1.925105+1 1.511757+1 1.927406+1 1.686524+1 20023501 203 1.929707+1 1.890042+1 1.932009+1 2.127022+1 1.934310+1 2.402650+1 20023501 204 1.936611+1 2.722548+1 1.941214+1 3.519306+1 1.950035+1 5.789566+1 20023501 205 1.953376+1 6.956009+1 1.955842+1 7.936426+1 1.957322+1 8.574043+1 20023501 206 1.959798+1 9.723110+1 1.962123+1 1.089239+2 1.966929+1 1.355900+2 20023501 207 1.967530+1 1.391261+2 1.971735+1 1.647739+2 1.973387+1 1.751274+2 20023501 208 1.976541+1 1.949425+2 1.978981+1 2.099993+2 1.981347+1 2.240466+2 20023501 209 1.983787+1 2.376660+2 1.986152+1 2.497217+2 1.988255+1 2.592631+2 20023501 210 1.990578+1 2.682917+2 1.991259+1 2.706046+2 1.994075+1 2.784310+2 20023501 211 1.995300+1 2.806870+2 1.996205+1 2.823644+2 1.999138+1 2.848083+2 20023501 212 2.000889+1 2.845887+2 2.005599+1 2.778353+2 2.007098+1 2.738822+2 20023501 213 2.010482+1 2.620587+2 2.012400+1 2.537541+2 2.014017+1 2.459738+2 20023501 214 2.015588+1 2.378171+2 2.017428+1 2.276263+2 2.019793+1 2.137197+2 20023501 215 2.021896+1 2.008137+2 2.023923+1 1.880759+2 2.024599+1 1.837960+2 20023501 216 2.027002+1 1.685625+2 2.029405+1 1.534907+2 2.032108+1 1.370009+2 20023501 217 2.034211+1 1.246777+2 2.039017+1 9.869197+1 2.040669+1 9.056636+1 20023501 218 2.042246+1 8.322526+1 2.043823+1 7.629834+1 2.046221+1 6.656566+1 20023501 219 2.048977+1 5.655839+1 2.051043+1 4.986209+1 2.053733+1 4.212271+1 20023501 220 2.056340+1 3.561366+1 2.058866+1 3.015867+1 2.061333+1 2.556426+1 20023501 221 2.066038+1 1.853842+1 2.072559+1 1.178206+1 2.090506+1 3.366328+0 20023501 222 2.103857+1 1.325840+0 2.112345+1 7.717528-1 2.118712+1 5.952616-1 20023501 223 2.121099+1 5.753345-1 2.123188+1 5.786557-1 2.125016+1 5.980823-1 20023501 224 2.126615+1 6.284187-1 2.128014+1 6.658000-1 2.129239+1 7.073203-1 20023501 225 2.130310+1 7.507982-1 2.131248+1 7.946142-1 2.132068+1 8.375927-1 20023501 226 2.133414+1 9.180105-1 2.134445+1 9.883869-1 2.135556+1 1.073375+0 20023501 227 2.137811+1 1.277245+0 2.144740+1 2.215266+0 2.147324+1 2.705786+0 20023501 228 2.149415+1 3.165488+0 2.151506+1 3.683092+0 2.153596+1 4.259274+0 20023501 229 2.155621+1 4.872228+0 2.157240+1 5.399713+0 2.159217+1 6.086169+0 20023501 230 2.160477+1 6.545906+0 2.161507+1 6.932857+0 2.164923+1 8.277590+0 20023501 231 2.166158+1 8.780193+0 2.168259+1 9.645227+0 2.169867+1 1.030891+1 20023501 232 2.171673+1 1.104680+1 2.173181+1 1.165044+1 2.175121+1 1.239982+1 20023501 233 2.176436+1 1.288545+1 2.178163+1 1.348769+1 2.180228+1 1.414473+1 20023501 234 2.180867+1 1.433243+1 2.182958+1 1.488817+1 2.185009+1 1.533835+1 20023501 235 2.187136+1 1.569694+1 2.189517+1 1.595912+1 2.191468+1 1.606063+1 20023501 236 2.192612+1 1.607226+1 2.196338+1 1.586920+1 2.197777+1 1.569610+1 20023501 237 2.198691+1 1.556025+1 2.201812+1 1.495797+1 2.203224+1 1.462206+1 20023501 238 2.204504+1 1.428760+1 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3.200000+2 1.456340+4 20023501 264 3.630781+2 9.985833+3 3.903644+2 8.011913+3 3.981100+2 7.547501+3 20023501 265 4.200000+2 6.414406+3 4.841724+2 4.132964+3 5.011900+2 3.707352+3 20023501 266 5.559043+2 2.676234+3 5.569950+2 2.659546+3 6.309600+2 1.786628+3 20023501 267 6.606934+2 1.542593+3 6.657041+2 1.505426+3 7.943300+2 8.514527+2 20023501 268 9.225714+2 5.257799+2 9.646616+2 4.560990+2 1.000000+3 4.067203+2 20023501 269 1.258900+3 1.958277+2 1.333521+3 1.632592+2 1.373140+3 1.487431+2 20023501 270 1.425474+3 1.320862+2 1.457016+3 1.232176+2 1.584900+3 9.444779+1 20023501 271 1.698244+3 7.602353+1 1.823140+3 6.077486+1 1.859755+3 5.708915+1 20023501 272 1.927525+3 5.103848+1 1.987560+3 4.632506+1 1.995300+3 4.576081+1 20023501 273 2.196003+3 3.391133+1 2.434340+3 2.472574+1 2.483133+3 2.328626+1 20023501 274 2.511900+3 2.248793+1 2.619190+3 1.983072+1 2.932693+3 1.423478+1 20023501 275 3.162300+3 1.150351+1 3.241857+3 1.074079+1 3.514204+3 8.646285+0 20023501 276 3.818204+3 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3.324858-3 20027505 824 1.425474+3 2.643139-3 1.543114+3 2.214240-3 1.681173+3 1.828843-3 20027505 825 1.859755+3 1.455036-3 2.066990+3 1.141181-3 2.286906+3 9.029569-4 20027505 826 2.483133+3 7.461976-4 2.684856+3 6.218728-4 2.932693+3 5.058058-4 20027505 827 3.241857+3 4.001770-4 3.514204+3 3.314467-4 3.818204+3 2.729886-4 20027505 828 4.169105+3 2.222976-4 4.600993+3 1.764134-4 5.086971+3 1.392455-4 20027505 829 5.621203+3 1.100252-4 6.106091+3 9.052837-5 6.745403+3 7.138103-5 20027505 830 7.306487+3 5.898597-5 8.052132+3 4.676040-5 8.727248+3 3.858257-5 20027505 831 9.519726+3 3.129961-5 1.048666+4 2.479557-5 1.133851+4 2.054659-5 20027505 832 1.246220+4 1.636162-5 1.374709+4 1.291920-5 1.490929+4 1.062248-5 20027505 833 1.639771+4 8.440090-6 1.778457+4 6.938706-6 1.965400+4 5.449249-6 20027505 834 2.167833+4 4.300322-6 2.381387+4 3.427260-6 2.629769+4 2.697082-6 20027505 835 2.851018+4 2.219257-6 3.095840+4 1.817467-6 3.385027+4 1.463899-6 20027505 836 3.703939+4 1.176969-6 4.079524+4 9.314243-7 4.400092+4 7.753926-7 20027505 837 4.751493+4 6.436048-7 5.247080+4 5.060983-7 5.792762+4 3.982621-7 20027505 838 6.391601+4 3.140925-7 7.023548+4 2.501728-7 7.758807+4 1.967476-7 20027505 839 8.413951+4 1.618334-7 9.160571+4 1.320725-7 1.011484+5 1.042417-7 20027505 840 1.096478+5 8.599560-8 1.193775+5 7.036022-8 1.318133+5 5.569419-8 20027505 841 1.428894+5 4.605234-8 1.554289+5 3.788567-8 1.715693+5 3.014077-8 20027505 842 1.892873+5 2.410026-8 2.053641+5 2.004410-8 2.275571+5 1.594028-8 20027505 843 2.524847+5 1.270129-8 2.785338+5 1.029029-8 3.031927+5 8.611578-9 20027505 844 3.311311+5 7.184842-9 3.672823+5 5.845351-9 4.051664+5 4.841045-9 20027505 845 4.466836+5 4.044795-9 5.011872+5 3.305781-9 5.626449+5 2.731667-9 20027505 846 6.309573+5 2.289031-9 7.192419+5 1.904072-9 8.035261+5 1.650330-9 20027505 847 9.354393+5 1.387594-9 1.070165+6 1.211070-9 1.286622+6 1.017485-9 20027505 848 1.546860+6 8.54844-10 1.859734+6 7.18201-10 2.235892+6 6.03399-10 20027505 849 2.688134+6 5.06948-10 3.231848+6 4.25915-10 3.885536+6 3.57834-10 20027505 850 4.671441+6 3.00636-10 5.616308+6 2.52580-10 6.752287+6 2.12206-10 20027505 851 8.118035+6 1.78286-10 9.760024+6 1.49788-10 1.000000+7 2.85205-10 20027505 852 20027 0 853 2.000000+3 3.968220+0 0 0 0 0 20027506 854 0.0 2.000000+0 0 0 1 210 20027506 855 210 2 20027506 856 1.000000+0-1.999925+0 3.055054+0-1.999202+0 9.190366+0-1.979189+0 20027506 857 1.335925+1-1.886523+0 1.529307+1-1.740891+0 1.640107+1-1.560442+0 20027506 858 1.712890+1-1.350466+0 1.756187+1-1.157955+0 1.793713+1-9.194718-1 20027506 859 1.818853+1-7.003006-1 1.830811+1-5.717661-1 1.840577+1-4.516569-1 20027506 860 1.847902+1-3.509304-1 1.853395+1-2.683983-1 1.861635+1-1.316390-1 20027506 861 1.869875+1 2.342219-2 1.874478+1 1.194880-1 1.879080+1 2.232535-1 20027506 862 1.883683+1 3.358131-1 1.888285+1 4.583431-1 1.892888+1 5.921342-1 20027506 863 1.897490+1 7.390299-1 1.906695+1 1.080465+0 1.915900+1 1.505843+0 20027506 864 1.922804+1 1.901758+0 1.929707+1 2.391238+0 1.936611+1 3.017555+0 20027506 865 1.943515+1 3.862783+0 1.948117+1 4.640069+0 1.951269+1 5.377699+0 20027506 866 1.954362+1 6.429476+0 1.962123+1 8.485135+0 1.967530+1 1.019750+1 20027506 867 1.973387+1 1.171290+1 1.978193+1 1.223965+1 1.981947+1 1.187107+1 20027506 868 1.985561+1 1.072412+1 1.989438+1 8.553409+0 1.990958+1 7.370023+0 20027506 869 1.994497+1 4.311912+0 1.995645+1 3.121077+0 1.996205+1 2.429622+0 20027506 870 1.996751+1 1.850274+0 1.998660+1-8.171752-2 1.999138+1-5.758888-1 20027506 871 1.999966+1-1.479167+0 2.000498+1-2.138114+0 2.000889+1-2.679920+0 20027506 872 2.005376+1 1.726500+0 2.005599+1 2.011446+0 2.006154+1 2.607306+0 20027506 873 2.007098+1 3.507691+0 2.011045+1 6.912190+0 2.014017+1 8.785117+0 20027506 874 2.016640+1 1.005449+1 2.019793+1 1.090755+1 2.023923+1 1.119916+1 20027506 875 2.028804+1 1.050765+1 2.034211+1 8.970221+0 2.040669+1 6.920410+0 20027506 876 2.047419+1 5.133159+0 2.049671+1 4.285959+0 2.052433+1 3.574565+0 20027506 877 2.056340+1 2.825627+0 2.061333+1 2.087477+0 2.066038+1 1.526870+0 20027506 878 2.070454+1 1.080411+0 2.074598+1 7.129647-1 2.076573+1 5.517525-1 20027506 879 2.080401+1 2.600977-1 2.083989+1 7.792839-3 2.087353+1-2.136737-1 20027506 880 2.090506+1-4.107077-1 2.099006+1-9.029174-1 2.125016+1-2.316804+0 20027506 881 2.134445+1-2.951203+0 2.137481+1-3.229689+0 2.142406+1-2.786615+0 20027506 882 2.148499+1-2.285869+0 2.155621+1-1.645559+0 2.160477+1-1.266704+0 20027506 883 2.165561+1-1.041439+0 2.167279+1-1.028436+0 2.169867+1-1.081442+0 20027506 884 2.172535+1-1.217058+0 2.174636+1-1.387495+0 2.178163+1-1.802637+0 20027506 885 2.180228+1-2.132596+0 2.185009+1-3.066042+0 2.186448+1-3.434316+0 20027506 886 2.190763+1-2.485196+0 2.191468+1-2.287311+0 2.197254+1-1.038640+0 20027506 887 2.198691+1-7.866024-1 2.201812+1-2.990730-1 2.202541+1-2.020292-1 20027506 888 2.203224+1-1.229592-1 2.204504+1 3.087166-3 2.205625+1 9.360803-2 20027506 889 2.206605+1 1.593519-1 2.207463+1 2.071714-1 2.208964+1 2.697821-1 20027506 890 2.210090+1 2.992051-1 2.210935+1 3.111027-1 2.212201+1 3.109449-1 20027506 891 2.212835+1 3.012898-1 2.213468+1 2.813367-1 2.215347+1 2.067818-1 20027506 892 2.216286+1 1.574671-1 2.216756+1 1.265616-1 2.217226+1 8.585669-2 20027506 893 2.219614+1-1.029222-1 2.220808+1-2.043165-1 2.221703+1-2.963608-1 20027506 894 2.222579+1-4.092082-1 2.227429+1-9.449503-1 2.228055+1-1.030811+0 20027506 895 2.234223+1-1.689037+0 2.238859+1-2.009724+0 2.245430+1-2.383517+0 20027506 896 2.250990+1-2.415312+0 2.257179+1-2.243466+0 2.265479+1-1.934222+0 20027506 897 2.273629+1-1.746226+0 2.284777+1-1.646050+0 2.306736+1-1.647662+0 20027506 898 2.320836+1-1.656035+0 2.386988+1-1.527403+0 2.564773+1-1.216388+0 20027506 899 2.759062+1-9.540548-1 2.986276+1-7.189956-1 3.144595+1-5.875031-1 20027506 900 3.371345+1-4.358719-1 3.619694+1-3.081334-1 3.821092+1-2.245451-1 20027506 901 4.054793+1-1.464271-1 4.186730+1-1.084339-1 4.304337+1-7.878495-2 20027506 902 4.434012+1-4.991692-2 4.554056+1-2.590257-2 4.673491+1-4.111041-3 20027506 903 4.717913+1 4.558166-3 4.831283+1 2.250488-2 4.960744+1 4.068834-2 20027506 904 5.140841+1 6.265957-2 5.416890+1 9.260318-2 5.695697+1 1.155890-1 20027506 905 6.010710+1 1.358381-1 6.386080+1 1.555750-1 7.228738+1 1.811631-1 20027506 906 8.395808+1 1.943966-1 1.013036+2 1.930723-1 1.388002+2 1.668323-1 20027506 907 1.952233+2 1.266351-1 2.474984+2 9.908289-2 2.963807+2 8.020877-2 20027506 908 3.557475+2 6.353148-2 4.184786+2 5.090575-2 4.841724+2 4.128435-2 20027506 909 5.569950+2 3.346146-2 6.364602+2 2.715713-2 7.218790+2 2.216014-2 20027506 910 8.162756+2 1.805325-2 9.225714+2 1.464848-2 1.046562+3 1.177076-2 20027506 911 1.160831+3 9.814715-3 1.313365+3 7.888549-3 1.485188+3 6.329504-3 20027506 912 1.681173+3 5.053190-3 1.859755+3 4.196872-3 2.066990+3 3.445440-3 20027506 913 2.334459+3 2.730049-3 2.619190+3 2.181312-3 2.990797+3 1.666276-3 20027506 914 3.307457+3 1.334399-3 3.665760+3 1.057648-3 4.074338+3 8.268153-4 20027506 915 4.512061+3 6.457389-4 4.987921+3 5.004189-4 5.417319+3 4.007832-4 20027506 916 5.891535+3 3.150639-4 6.371307+3 2.470777-4 6.858946+3 1.920727-4 20027506 917 7.306487+3 1.509731-4 7.767800+3 1.158231-4 8.235371+3 8.605182-5 20027506 918 8.727248+3 5.975312-5 9.141118+3 4.083403-5 9.519726+3 2.564332-5 20027506 919 9.877529+3 1.286294-5 1.004905+4 7.214755-6 1.027258+4 2.741570-7 20027506 920 1.048666+4-5.961061-6 1.069141+4-1.157754-5 1.107359+4-2.124000-5 20027506 921 1.158181+4-3.263721-5 1.222104+4-4.500298-5 1.318796+4-6.040259-5 20027506 922 1.460074+4-7.764275-5 1.639771+4-9.346495-5 1.893684+4-1.086147-4 20027506 923 2.307254+4-1.234328-4 2.974795+4-1.356193-4 4.325396+4-1.453154-4 20027506 924 8.224293+4-1.516108-4 2.468117+5-1.537507-4 7.413102+5-1.539884-4 20027506 925 2.235892+6-1.540147-4 6.752287+6-1.540176-4 1.000000+7-1.540178-4 20027506 926 20027 0 927 200 0 0 928 0 0 0 929 3.000000+3 6.881380+0 -1 0 0 3 300 1451 1 0.0 0.0 0 0 0 6 300 1451 2 0.0 0.0 0 0 3 6 300 1451 3 0.0 0.0 0 0 134 14 300 1451 4 3-LI LLNL Eval-Jul97 D.E.Cullen, et al. 300 1451 5 UCRL50400,Vol.6,Rev.5 Dist-Jul97 Rev0-Oct89 300 1451 6 ---- ENDF/B-VI MATERIAL 300 300 1451 7 ----- PHOTO-ATOMIC INTERACTION DATA 300 1451 8 ------ ENDF/B-6 300 1451 9 ================================================================= 300 1451 10 The Livermore Evaluated Photon Data Library (EPDL97) in the 300 1451 11 ENDF/B-VI format 300 1451 12 ================================================================= 300 1451 13 Contents 300 1451 14 ================================================================= 300 1451 15 MF/MT Description 300 1451 16 ================================================================= 300 1451 17 23/501 Total cross sections 300 1451 18 23/502 Coherent scattering cross sections 300 1451 19 23/504 Incoherent scattering cross sections 300 1451 20 23/515 Pair production cross sections, Electron field 300 1451 21 23/516 Pair production cross sections, Total 300 1451 22 23/517 Pair production cross sections, Nuclear field 300 1451 23 23/522 Total photoionization cross section 300 1451 24 23/534 K (1S1/2) Photoionization subshell cross section 300 1451 25 23/535 L1 (2S1/2) Photoionization subshell cross section 300 1451 26 ================================================================= 300 1451 27 27/502 Coherent scattering form factors 300 1451 28 27/504 Incoherent scattering functions 300 1451 29 27/505 Imaginary anomalous scattering factor 300 1451 30 27/506 Real anomalous scattering factor 300 1451 31 ================================================================= 300 1451 32 Warning 300 1451 33 ================================================================= 300 1451 34 MF/MT combinations used to define photoionization subshell cross 300 1451 35 sections (MF=23, MT=534-572) and coherent anomalous scattering 300 1451 36 factors (MF=27, MT=505 AND 506) are newly defined MF/MT numbers 300 1451 37 for ENDF/B-VI that did not exist in earlier versions of ENDF/B. 300 1451 38 If you are not prepared to use this data you need merely delete 300 1451 39 it and all of the remaining data will still be consistent and 300 1451 40 equivalent to the types of data in earlier versions of ENDF/B. 300 1451 41 However, this will limit the range of problems to which this 300 1451 42 data can be applied (see: ref. 1 for details). 300 1451 43 ================================================================= 300 1451 44 Definition of new types of data 300 1451 45 ================================================================= 300 1451 46 1) The total photoionization cross section is equal to the sum 300 1451 47 of the photoionization subshell cross sections. 300 1451 48 300 1451 49 For each subshell on the second line of a section the C1 and 300 1451 50 C2 fields are defined as, 300 1451 51 300 1451 52 EPE = The photoionization edge energy (similar to Q-value) 300 1451 53 EFL = The fluorescence yield (eV/photoionization) 300 1451 54 300 1451 55 2) The angular distribution of coherently scattered photons is, 300 1451 56 300 1451 57 S(E,MU) = 3*T/8*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 300 1451 58 300 1451 59 S(E,MU) = Angular distributions (barns per unit cosine) 300 1451 60 T = The Thomson cross section 300 1451 61 MU = The cosine of the scattering angle 300 1451 62 FF(M) = The atomic form factor 300 1451 63 M = Momentum transfer = SIN(THETA/2)/LAMBDA/4*PI 300 1451 64 F1(E) = The real anomalous scattering factor 300 1451 65 F2(E) = The imaginary anomalous scattering factor 300 1451 66 300 1451 67 F1(E) and F2(E) are isotropic. 300 1451 68 300 1451 69 When F1(E) = F2(E) = 0 this reduces to the result obtained 300 1451 70 using only form factors (the older ENDF/B convention). 300 1451 71 ================================================================= 300 1451 72 Differences between EPDL97 and the data base presented here 300 1451 73 ================================================================= 300 1451 74 1) Energy range - EPDL97 - 1 eV to 100 GeV 300 1451 75 Here - 1 eV TO 100 GeV (previously 100 MeV) 300 1451 76 2) Type of Data - EPDL97 - Photon interaction including 300 1451 77 photoexcitation 300 1451 78 Here - Photon interaction - ENDF/B-VI has 300 1451 79 no provision for photoexcitation 300 1451 80 3) Secondary E - EPDL97 - Average energy of each secondary 300 1451 81 (photons, electrons, positrons) 300 1451 82 HERE - No secondary energy data 300 1451 83 4) Interpolation- EPDL97 - Cross sections are Log X vs. Log Y 300 1451 84 interpolable - the total cross 300 1451 85 section is not included 300 1451 86 - Form factors and scattering functions 300 1451 87 are Log X vs. Log y, except first 300 1451 88 interval. 300 1451 89 - Anomalous scattering factors linearly 300 1451 90 interpolable (they can be negative) 300 1451 91 Here - Up through ENDF/B-V photon interaction 300 1451 92 cross sections were Log X vs. Log Y. 300 1451 93 - For the first two Mods. of ENDF/B-VI 300 1451 94 in order to consistently define the 300 1451 95 total cross sections at ALL energies 300 1451 96 all cross sections were linearized. 300 1451 97 This was NOT a good idea. 300 1451 98 - Starting with Mod. 3, cross sections 300 1451 99 are left in Log X vs. Log. Y form so 300 1451 100 that they are IDENTICAL to what's in 300 1451 101 EPDL97. 300 1451 102 The total is defined ONLY at the 300 1451 103 energies tabulated in any other cross 300 1451 104 section. 300 1451 105 WARNING - As a result the total cross section 300 1451 106 MUST NOT be interpolated to define the 300 1451 107 total between tabulated energies. The 300 1451 108 ONLY consist way to define the total 300 1451 109 between tabulated energies is to 300 1451 110 interpolate all of the partials and 300 1451 111 add them up. 300 1451 112 ================================================================= 300 1451 113 References 300 1451 114 ================================================================= 300 1451 115 1) D.E. Cullen, M.H. Chen, J.H. Hubbell, S.T. Perkins, 300 1451 116 E.F. Plechaty, J.A. Rathkopf and J.H. Scofield, Tables and 300 1451 117 graphs of photon interaction cross sections from 10 eV to 100 300 1451 118 GeV derived from the LLNL Evaluated Photon data library (EPDL), 300 1451 119 UCRL-50400, Vol. 6, Rev. 4, Part A: Z = 1 to 50 and Part B: 300 1451 120 Z = 51 to 100, Lawrence Livermore National Laboratory (1989) 300 1451 121 300 1451 122 2) D.E. Cullen, J.H. Hubbell and L.D. Kissel, EPDL97: the 300 1451 123 Evaluated Photon Data Library, '97 Version, UCRL-50400, Vol. 6, 300 1451 124 Rev. 5, Lawrence Livermore National Laboratory (1997) 300 1451 125 300 1451 126 These are the primary references to the contents of this library 300 1451 127 and they contain a complete list of references to the sources 300 1451 128 of data used in this library, methods of evaluation, accuracy 300 1451 129 of the data, etc. 300 1451 130 ================================================================= 300 1451 131 History 300 1451 132 ================================================================= 300 1451 133 Mod. 1 - October, 1989 - Initial release. 300 1451 134 Mod. 2 - August, 1990 - Updated photoionization total and 300 1451 135 subshell cross sections. 300 1451 136 Mod. 3 - July, 1997 - Complete re-evaluation. 300 1451 137 ================================================================= 300 1451 138 1 451 152 3 300 1451 139 23 501 303 3 300 1451 140 23 502 171 3 300 1451 141 23 504 40 3 300 1451 142 23 515 30 3 300 1451 143 23 516 43 3 300 1451 144 23 517 34 3 300 1451 145 23 522 63 3 300 1451 146 23 534 32 3 300 1451 147 23 535 38 3 300 1451 148 27 502 47 3 300 1451 149 27 504 49 3 300 1451 150 27 505 95 3 300 1451 151 27 506 82 3 300 1451 152 300 1 0 153 300 0 0 154 3.000000+3 6.881380+0 0 0 0 0 30023501 155 0.0 0.0 0 0 1 898 30023501 156 898 5 30023501 157 1.000000+0 4.973658-2 1.050678+0 6.538212-2 1.077219+0 7.537476-2 30023501 158 1.102930+0 8.647957-2 1.127838+0 9.878419-2 1.151968+0 1.123802-1 30023501 159 1.175343+0 1.273642-1 1.197988+0 1.438384-1 1.219926+0 1.619108-1 30023501 160 1.241178+0 1.816950-1 1.258900+0 2.001777-1 1.261765+0 2.033113-1 30023501 161 1.281710+0 2.268864-1 1.301031+0 2.525537-1 1.319748+0 2.804541-1 30023501 162 1.337880+0 3.107358-1 1.355446+0 3.435549-1 1.372463+0 3.790755-1 30023501 163 1.388948+0 4.174704-1 1.404918+0 4.589210-1 1.420389+0 5.036183-1 30023501 164 1.435376+0 5.517623-1 1.449895+0 6.035634-1 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2.790750+0-1.533218+0 3.029013+0-1.725759+0 3.532243+0-1.950720+0 30027506 1145 3.829213+0-2.072710+0 3.902063+0-2.141632+0 3.964262+0-1.938984+0 30027506 1146 4.008910+0-1.966184+0 4.133185+0-2.055124+0 4.506855+0-2.197603+0 30027506 1147 4.584051+0-2.273894+0 4.634025+0-2.101507+0 4.667342+0-2.019776+0 30027506 1148 4.898108+0-2.246260+0 4.987948+0-2.116654+0 5.088220+0-2.209388+0 30027506 1149 5.184383+0-2.184045+0 7.852356+0-2.208440+0 1.756871+1-2.150443+0 30027506 1150 2.683417+1-2.235512+0 3.639113+1-2.467192+0 4.311060+1-2.782876+0 30027506 1151 4.748800+1-3.147563+0 5.048416+1-3.582622+0 5.186653+1-3.905330+0 30027506 1152 5.337265+1-3.663454+0 5.415605+1-3.322257+0 5.456502+1-2.964076+0 30027506 1153 5.479427+1-2.624641+0 5.492222+1-2.316043+0 5.498523+1-2.077574+0 30027506 1154 5.520674+1-1.465808+0 5.536910+1-9.144660-1 5.550434+1-5.235163-1 30027506 1155 5.553393+1-4.606733-1 5.563959+1-3.114887-1 5.566917+1-3.029984-1 30027506 1156 5.569136+1-3.109746-1 5.572464+1-3.405527-1 5.575793+1-3.841733-1 30027506 1157 5.577483+1-4.128885-1 5.580442+1-4.857620-1 5.582660+1-5.549044-1 30027506 1158 5.585989+1-6.818748-1 5.589317+1-8.443595-1 5.595234+1-1.185461+0 30027506 1159 5.600702+1-1.568633+0 5.613691+1-2.765661+0 5.629664+1-4.595269+0 30027506 1160 5.636922+1-3.771116+0 5.647020+1-2.684700+0 5.659369+1-1.629398+0 30027506 1161 5.665003+1-1.278384+0 5.670463+1-1.007753+0 5.674692+1-8.434918-1 30027506 1162 5.678145+1-7.493503-1 5.682677+1-6.712022-1 5.685591+1-6.494818-1 30027506 1163 5.688505+1-6.591151-1 5.693008+1-7.050523-1 5.696386+1-7.625944-1 30027506 1164 5.707655+1-1.074010+0 5.711036+1-1.215879+0 5.723795+1-1.772433+0 30027506 1165 5.736483+1-2.412767+0 5.751377+1-3.101008+0 5.770692+1-3.942905+0 30027506 1166 5.785590+1-4.282314+0 5.805217+1-4.398948+0 5.826675+1-4.225183+0 30027506 1167 5.871145+1-3.610617+0 5.913566+1-3.462751+0 6.005606+1-3.389643+0 30027506 1168 6.632205+1-2.489005+0 7.206656+1-1.833108+0 7.672140+1-1.409860+0 30027506 1169 8.074394+1-1.107241+0 8.513637+1-8.353612-1 8.978229+1-6.019376-1 30027506 1170 9.370402+1-4.408924-1 9.754980+1-3.107801-1 1.007054+2-2.194032-1 30027506 1171 1.033188+2-1.547302-1 1.070853+2-7.139643-2 1.098474+2-2.041537-2 30027506 1172 1.132562+2 3.528712-2 1.164758+2 8.019117-2 1.191041+2 1.109636-1 30027506 1173 1.219860+2 1.411473-1 1.255365+2 1.739982-1 1.313654+2 2.170863-1 30027506 1174 1.364123+2 2.461786-1 1.462177+2 2.849234-1 1.572590+2 3.112207-1 30027506 1175 1.748474+2 3.280856-1 1.992796+2 3.286724-1 2.559940+2 2.942951-1 30027506 1176 3.748008+2 2.105800-1 4.608747+2 1.659326-1 5.487459+2 1.331752-1 30027506 1177 6.384593+2 1.089377-1 7.462090+2 8.773663-2 8.538916+2 7.221802-2 30027506 1178 9.738152+2 5.931953-2 1.110102+3 4.850964-2 1.267131+3 3.936985-2 30027506 1179 1.435133+3 3.219375-2 1.646293+3 2.567875-2 1.858623+3 2.092454-2 30027506 1180 2.117665+3 1.673232-2 2.401832+3 1.342200-2 2.726858+3 1.070308-2 30027506 1181 3.050982+3 8.726638-3 3.431538+3 7.016634-3 3.880519+3 5.555715-3 30027506 1182 4.318344+3 4.515154-3 4.779205+3 3.688197-3 5.303118+3 2.980728-3 30027506 1183 5.962386+3 2.324133-3 6.602620+3 1.853659-3 7.538482+3 1.343533-3 30027506 1184 8.175389+3 1.079368-3 8.882461+3 8.500716-4 9.663624+3 6.529498-4 30027506 1185 1.047481+4 4.931179-4 1.133030+4 3.603530-4 1.211640+4 2.623115-4 30027506 1186 1.287738+4 1.839897-4 1.363729+4 1.184932-4 1.422309+4 7.500539-5 30027506 1187 1.479108+4 3.767601-5 1.512659+4 1.757443-5 1.545534+4-8.659717-7 30027506 1188 1.577374+4-1.763828-5 1.608511+4-3.308589-5 1.667990+4-6.022574-5 30027506 1189 1.745242+4-9.139627-5 1.843814+4-1.256688-4 1.972490+4-1.628715-4 30027506 1190 2.174505+4-2.085373-4 2.452565+4-2.538657-4 2.807687+4-2.933777-4 30027506 1191 3.386789+4-3.331285-4 4.353163+4-3.676251-4 6.301680+4-3.952963-4 30027506 1192 1.160256+5-4.130983-4 3.513676+5-4.197330-4 1.070165+6-4.204575-4 30027506 1193 3.231848+6-4.205354-4 9.760024+6-4.205439-4 1.000000+7-4.205418-4 30027506 1194 30027 0 1195 300 0 0 1196 0 0 0 1197 4.000000+3 8.934770+0 -1 0 0 3 400 1451 1 0.0 0.0 0 0 0 6 400 1451 2 0.0 0.0 0 0 3 6 400 1451 3 0.0 0.0 0 0 134 14 400 1451 4 4-BE LLNL Eval-Jul97 D.E.Cullen, et al. 400 1451 5 UCRL50400,Vol.6,Rev.5 Dist-Jul97 Rev0-Oct89 400 1451 6 ---- ENDF/B-VI MATERIAL 400 400 1451 7 ----- PHOTO-ATOMIC INTERACTION DATA 400 1451 8 ------ ENDF/B-6 400 1451 9 ================================================================= 400 1451 10 The Livermore Evaluated Photon Data Library (EPDL97) in the 400 1451 11 ENDF/B-VI format 400 1451 12 ================================================================= 400 1451 13 Contents 400 1451 14 ================================================================= 400 1451 15 MF/MT Description 400 1451 16 ================================================================= 400 1451 17 23/501 Total cross sections 400 1451 18 23/502 Coherent scattering cross sections 400 1451 19 23/504 Incoherent scattering cross sections 400 1451 20 23/515 Pair production cross sections, Electron field 400 1451 21 23/516 Pair production cross sections, Total 400 1451 22 23/517 Pair production cross sections, Nuclear field 400 1451 23 23/522 Total photoionization cross section 400 1451 24 23/534 K (1S1/2) Photoionization subshell cross section 400 1451 25 23/535 L1 (2S1/2) Photoionization subshell cross section 400 1451 26 ================================================================= 400 1451 27 27/502 Coherent scattering form factors 400 1451 28 27/504 Incoherent scattering functions 400 1451 29 27/505 Imaginary anomalous scattering factor 400 1451 30 27/506 Real anomalous scattering factor 400 1451 31 ================================================================= 400 1451 32 Warning 400 1451 33 ================================================================= 400 1451 34 MF/MT combinations used to define photoionization subshell cross 400 1451 35 sections (MF=23, MT=534-572) and coherent anomalous scattering 400 1451 36 factors (MF=27, MT=505 AND 506) are newly defined MF/MT numbers 400 1451 37 for ENDF/B-VI that did not exist in earlier versions of ENDF/B. 400 1451 38 If you are not prepared to use this data you need merely delete 400 1451 39 it and all of the remaining data will still be consistent and 400 1451 40 equivalent to the types of data in earlier versions of ENDF/B. 400 1451 41 However, this will limit the range of problems to which this 400 1451 42 data can be applied (see: ref. 1 for details). 400 1451 43 ================================================================= 400 1451 44 Definition of new types of data 400 1451 45 ================================================================= 400 1451 46 1) The total photoionization cross section is equal to the sum 400 1451 47 of the photoionization subshell cross sections. 400 1451 48 400 1451 49 For each subshell on the second line of a section the C1 and 400 1451 50 C2 fields are defined as, 400 1451 51 400 1451 52 EPE = The photoionization edge energy (similar to Q-value) 400 1451 53 EFL = The fluorescence yield (eV/photoionization) 400 1451 54 400 1451 55 2) The angular distribution of coherently scattered photons is, 400 1451 56 400 1451 57 S(E,MU) = 3*T/8*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 400 1451 58 400 1451 59 S(E,MU) = Angular distributions (barns per unit cosine) 400 1451 60 T = The Thomson cross section 400 1451 61 MU = The cosine of the scattering angle 400 1451 62 FF(M) = The atomic form factor 400 1451 63 M = Momentum transfer = SIN(THETA/2)/LAMBDA/4*PI 400 1451 64 F1(E) = The real anomalous scattering factor 400 1451 65 F2(E) = The imaginary anomalous scattering factor 400 1451 66 400 1451 67 F1(E) and F2(E) are isotropic. 400 1451 68 400 1451 69 When F1(E) = F2(E) = 0 this reduces to the result obtained 400 1451 70 using only form factors (the older ENDF/B convention). 400 1451 71 ================================================================= 400 1451 72 Differences between EPDL97 and the data base presented here 400 1451 73 ================================================================= 400 1451 74 1) Energy range - EPDL97 - 1 eV to 100 GeV 400 1451 75 Here - 1 eV TO 100 GeV (previously 100 MeV) 400 1451 76 2) Type of Data - EPDL97 - Photon interaction including 400 1451 77 photoexcitation 400 1451 78 Here - Photon interaction - ENDF/B-VI has 400 1451 79 no provision for photoexcitation 400 1451 80 3) Secondary E - EPDL97 - Average energy of each secondary 400 1451 81 (photons, electrons, positrons) 400 1451 82 HERE - No secondary energy data 400 1451 83 4) Interpolation- EPDL97 - Cross sections are Log X vs. Log Y 400 1451 84 interpolable - the total cross 400 1451 85 section is not included 400 1451 86 - Form factors and scattering functions 400 1451 87 are Log X vs. Log y, except first 400 1451 88 interval. 400 1451 89 - Anomalous scattering factors linearly 400 1451 90 interpolable (they can be negative) 400 1451 91 Here - Up through ENDF/B-V photon interaction 400 1451 92 cross sections were Log X vs. Log Y. 400 1451 93 - For the first two Mods. of ENDF/B-VI 400 1451 94 in order to consistently define the 400 1451 95 total cross sections at ALL energies 400 1451 96 all cross sections were linearized. 400 1451 97 This was NOT a good idea. 400 1451 98 - Starting with Mod. 3, cross sections 400 1451 99 are left in Log X vs. Log. Y form so 400 1451 100 that they are IDENTICAL to what's in 400 1451 101 EPDL97. 400 1451 102 The total is defined ONLY at the 400 1451 103 energies tabulated in any other cross 400 1451 104 section. 400 1451 105 WARNING - As a result the total cross section 400 1451 106 MUST NOT be interpolated to define the 400 1451 107 total between tabulated energies. The 400 1451 108 ONLY consist way to define the total 400 1451 109 between tabulated energies is to 400 1451 110 interpolate all of the partials and 400 1451 111 add them up. 400 1451 112 ================================================================= 400 1451 113 References 400 1451 114 ================================================================= 400 1451 115 1) D.E. Cullen, M.H. Chen, J.H. Hubbell, S.T. Perkins, 400 1451 116 E.F. Plechaty, J.A. Rathkopf and J.H. Scofield, Tables and 400 1451 117 graphs of photon interaction cross sections from 10 eV to 100 400 1451 118 GeV derived from the LLNL Evaluated Photon data library (EPDL), 400 1451 119 UCRL-50400, Vol. 6, Rev. 4, Part A: Z = 1 to 50 and Part B: 400 1451 120 Z = 51 to 100, Lawrence Livermore National Laboratory (1989) 400 1451 121 400 1451 122 2) D.E. Cullen, J.H. Hubbell and L.D. Kissel, EPDL97: the 400 1451 123 Evaluated Photon Data Library, '97 Version, UCRL-50400, Vol. 6, 400 1451 124 Rev. 5, Lawrence Livermore National Laboratory (1997) 400 1451 125 400 1451 126 These are the primary references to the contents of this library 400 1451 127 and they contain a complete list of references to the sources 400 1451 128 of data used in this library, methods of evaluation, accuracy 400 1451 129 of the data, etc. 400 1451 130 ================================================================= 400 1451 131 History 400 1451 132 ================================================================= 400 1451 133 Mod. 1 - October, 1989 - Initial release. 400 1451 134 Mod. 2 - August, 1990 - Updated photoionization total and 400 1451 135 subshell cross sections. 400 1451 136 Mod. 3 - July, 1997 - Complete re-evaluation. 400 1451 137 ================================================================= 400 1451 138 1 451 152 3 400 1451 139 23 501 293 3 400 1451 140 23 502 163 3 400 1451 141 23 504 40 3 400 1451 142 23 515 30 3 400 1451 143 23 516 44 3 400 1451 144 23 517 34 3 400 1451 145 23 522 61 3 400 1451 146 23 534 31 3 400 1451 147 23 535 41 3 400 1451 148 27 502 48 3 400 1451 149 27 504 49 3 400 1451 150 27 505 90 3 400 1451 151 27 506 90 3 400 1451 152 400 1 0 153 400 0 0 154 4.000000+3 8.934770+0 0 0 0 0 40023501 155 0.0 0.0 0 0 1 868 40023501 156 868 5 40023501 157 1.000000+0 8.557777-3 1.150897+0 1.583505-2 1.223952+0 2.087690-2 40023501 158 1.258900+0 2.374522-2 1.301644+0 2.766212-2 1.384268+0 3.686318-2 40023501 159 1.472137+0 4.945168-2 1.518141+0 5.743865-2 1.565583+0 6.685606-2 40023501 160 1.584900+0 7.109086-2 1.614508+0 7.799596-2 1.664961+0 9.122000-2 40023501 161 1.716991+0 1.069790-1 1.770647+0 1.258335-1 1.824366+0 1.477780-1 40023501 162 1.876406+0 1.724471-1 1.926820+0 2.000736-1 1.975658+0 2.308984-1 40023501 163 1.995300+0 2.446486-1 2.022970+0 2.651647-1 2.068804+0 3.030840-1 40023501 164 2.113205+0 3.449261-1 2.156219+0 3.910457-1 2.197888+0 4.417727-1 40023501 165 2.238256+0 4.974422-1 2.277362+0 5.584079-1 2.315246+0 6.250428-1 40023501 166 2.351946+0 6.977403-1 2.387499+0 7.769155-1 2.421941+0 8.630054-1 40023501 167 2.455307+0 9.564703-1 2.487630+0 1.057795+0 2.511900+0 1.141988+0 40023501 168 2.518943+0 1.167489+0 2.549278+0 1.286090+0 2.578664+0 1.414161+0 40023501 169 2.607132+0 1.552294+0 2.634711+0 1.701111+0 2.661428+0 1.861265+0 40023501 170 2.687309+0 2.033440+0 2.712383+0 2.218355+0 2.736672+0 2.416762+0 40023501 171 2.760202+0 2.629448+0 2.782998+0 2.857236+0 2.805080+0 3.100988+0 40023501 172 2.826473+0 3.361605+0 2.867274+0 3.937236+0 2.905564+0 4.592154+0 40023501 173 2.941499+0 5.335301+0 2.958629+0 5.743495+0 2.991299+0 6.641270+0 40023501 174 3.022446+0 7.669942+0 3.051646+0 8.824357+0 3.079021+0 1.011940+1 40023501 175 3.104685+0 1.156965+1 3.128745+0 1.318994+1 3.151301+0 1.499599+1 40023501 176 3.162300+0 1.601075+1 3.172448+0 1.700436+1 3.192273+0 1.923256+1 40023501 177 3.210859+0 2.169901+1 3.228283+0 2.442308+1 3.244618+0 2.742502+1 40023501 178 3.259932+0 3.072598+1 3.274290+0 3.434799+1 3.287749+0 3.831394+1 40023501 179 3.300368+0 4.264760+1 3.312198+0 4.737362+1 3.323288+0 5.251762+1 40023501 180 3.333686+0 5.810627+1 3.343433+0 6.416756+1 3.352572+0 7.073114+1 40023501 181 3.361139+0 7.782894+1 3.369171+0 8.549605+1 3.376700+0 9.377200+1 40023501 182 3.383760+0 1.027023+2 3.390378+0 1.123399+2 3.396582+0 1.227462+2 40023501 183 3.402398+0 1.339908+2 3.407851+0 1.461497+2 3.412964+0 1.593010+2 40023501 184 3.417756+0 1.735201+2 3.422250+0 1.888731+2 3.426462+0 2.054106+2 40023501 185 3.430411+0 2.231626+2 3.437815+0 2.637391+2 3.444294+0 3.091912+2 40023501 186 3.449963+0 3.587609+2 3.454924+0 4.113710+2 3.459264+0 4.657895+2 40023501 187 3.463062+0 5.207812+2 3.469293+0 6.281606+2 3.487181+0 1.085250+3 40023501 188 3.493811+0 1.321595+3 3.499097+0 1.538453+3 3.504893+0 1.805139+3 40023501 189 3.507689+0 1.944131+3 3.516280+0 2.409098+3 3.517354+0 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3.747445+0 1.168993+2 4.186809+0 1.172134+2 4.372592+0 40027505 1055 1.176994+2 4.423732+0 1.192691+2 4.178563+0 1.266421+2 3.704919+0 40027505 1056 1.358399+2 3.410724+0 1.952024+2 2.245702+0 2.213984+2 1.856024+0 40027505 1057 2.515504+2 1.525724+0 2.882735+2 1.226203+0 3.321341+2 9.689194-1 40027505 1058 3.692153+2 8.100031-1 4.126167+2 6.693187-1 4.610521+2 5.507933-1 40027505 1059 5.189939+2 4.453251-1 5.818742+2 3.615956-1 6.552488+2 2.902294-1 40027505 1060 7.164110+2 2.454032-1 7.931859+2 2.022197-1 8.716923+2 1.687115-1 40027505 1061 9.729090+2 1.363011-1 1.095862+3 1.079656-1 1.217204+3 8.758493-2 40027505 1062 1.361747+3 6.996259-2 1.522903+3 5.574194-2 1.700172+3 4.451054-2 40027505 1063 1.889743+3 3.574066-2 2.115010+3 2.826522-2 2.326457+3 2.310714-2 40027505 1064 2.575951+3 1.861372-2 2.845215+3 1.503213-2 3.176998+3 1.185893-2 40027505 1065 3.522512+3 9.466189-3 3.880803+3 7.662791-3 4.283329+3 6.158637-3 40027505 1066 4.709995+3 4.991658-3 5.128614+3 4.129014-3 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1.530675+5 1.478306-6 1.688800+5 1.180116-6 1.870755+5 9.363054-7 40027505 1080 2.036889+5 7.744230-7 2.258135+5 6.163736-7 2.496215+5 4.958337-7 40027505 1081 2.712801+5 4.154299-7 2.997221+5 3.371984-7 3.273407+5 2.816435-7 40027505 1082 3.611050+5 2.317930-7 4.005285+5 1.900869-7 4.415705+5 1.589011-7 40027505 1083 4.954502+5 1.298940-7 5.457971+5 1.106350-7 5.984546+5 9.570736-8 40027505 1084 6.635521+5 8.216760-8 7.563973+5 6.874636-8 8.691734+5 5.810619-8 40027505 1085 1.022000+6 4.859832-8 1.228714+6 4.076172-8 1.477239+6 3.418880-8 40027505 1086 1.776032+6 2.867578-8 2.135261+6 2.405174-8 2.567148+6 2.017334-8 40027505 1087 3.086391+6 1.692034-8 3.710658+6 1.419190-8 4.461192+6 1.190342-8 40027505 1088 5.363532+6 9.983966-9 6.448384+6 8.374028-9 7.752663+6 7.023696-9 40027505 1089 9.320751+6 5.891109-9 9.760024+6 5.637738-9 1.000000+7 1.078268-8 40027505 1090 40027 0 1091 4.000000+3 8.934770+0 0 0 0 0 40027506 1092 0.0 4.000000+0 0 0 1 259 40027506 1093 259 2 40027506 1094 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4.924686+1 3.555539+0 4.191123+1 40027506 1107 3.558361+0 3.687413+1 3.565956+0 2.162650+1 3.567653+0 1.738847+1 40027506 1108 3.568739+0 1.425745+1 3.574057+0 1.498479+0 3.574611+0 1.136865-1 40027506 1109 3.575035+0-9.761337-1 3.575710+0-2.791681+0 3.576134+0-4.021836+0 40027506 1110 3.576414+0-3.091764+0 3.576578+0-2.505448+0 3.576967+0-1.333870+0 40027506 1111 3.577093+0-9.768579-1 3.585410+0 1.984084+1 3.587722+0 2.526878+1 40027506 1112 3.596028+0 4.160638+1 3.603213+0 5.106527+1 3.610812+0 5.677121+1 40027506 1113 3.617407+0 5.820289+1 3.627376+0 5.499310+1 3.648105+0 4.065590+1 40027506 1114 3.660472+0 3.316788+1 3.665955+0 2.885491+1 3.674977+0 2.466001+1 40027506 1115 3.685748+0 2.119902+1 3.700012+0 1.790007+1 3.717700+0 1.495713+1 40027506 1116 3.738702+0 1.242915+1 3.766323+0 1.004747+1 3.800274+0 7.984558+0 40027506 1117 3.840194+0 6.272873+0 3.879185+0 5.052686+0 3.917270+0 4.137961+0 40027506 1118 3.966771+0 3.221545+0 4.014834+0 2.533166+0 4.061407+0 1.998116+0 40027506 1119 4.106535+0 1.570407+0 4.150264+0 1.220796+0 4.213658+0 7.999305-1 40027506 1120 4.254384+0 5.714120-1 4.293837+0 3.749602-1 4.332057+0 2.043460-1 40027506 1121 4.369083+0 5.485566-2 4.404952+0-7.714375-2 4.439700+0-1.944975-1 40027506 1122 4.473362+0-2.994658-1 4.538583+0-4.818384-1 4.599727+0-6.316084-1 40027506 1123 4.710789+0-8.622160-1 4.855635+0-1.103104+0 5.073901+0-1.379340+0 40027506 1124 5.392298+0-1.665130+0 5.788471+0-1.913892+0 6.218825+0-2.161753+0 40027506 1125 6.294984+0-2.202989+0 6.401607+0-2.070187+0 6.697826+0-2.246996+0 40027506 1126 7.024901+0-2.420526+0 7.128646+0-2.521766+0 7.180519+0-2.440658+0 40027506 1127 7.250020+0-2.266024+0 7.301555+0-2.275560+0 7.493394+0-2.521532+0 40027506 1128 7.643315+0-2.419681+0 7.766520+0-2.494339+0 9.885531+0-2.608328+0 40027506 1129 1.610000+1-2.515364+0 2.810283+1-2.323673+0 4.168694+1-2.266668+0 40027506 1130 5.913646+1-2.348559+0 7.448249+1-2.571996+0 8.653415+1-2.914619+0 40027506 1131 9.425620+1-3.296001+0 1.003521+2-3.806138+0 1.044170+2-4.397794+0 40027506 1132 1.064222+2-4.861313+0 1.084668+2-4.483933+0 1.096839+2-3.991415+0 40027506 1133 1.103779+2-3.472127+0 1.107412+2-3.036130+0 1.109811+2-2.591512+0 40027506 1134 1.110753+2-2.307490+0 1.115386+2-1.340895+0 1.118461+2-5.656848-1 40027506 1135 1.118631+2-5.099687-1 1.119272+2-3.550186-1 1.120713+2-6.701248-2 40027506 1136 1.120953+2-1.547992-2 1.121193+2 4.894613-2 1.121364+2 9.626271-2 40027506 1137 1.121684+2 1.596371-1 1.122245+2 2.428065-1 1.124268+2 4.565033-1 40027506 1138 1.124866+2 4.683919-1 1.125314+2 4.551813-1 1.125986+2 4.076784-1 40027506 1139 1.126659+2 3.346951-1 1.127143+2 2.638210-1 1.127567+2 1.838322-1 40027506 1140 1.128309+2 9.635605-3 1.128865+2-1.495294-1 1.129282+2-2.857016-1 40027506 1141 1.129908+2-5.195543-1 1.130220+2-6.520129-1 1.130931+2-1.000860+0 40027506 1142 1.131677+2-1.411918+0 1.132124+2-1.714397+0 1.134317+2-3.234508+0 40027506 1143 1.135586+2-4.339237+0 1.137467+2-5.891628+0 1.138601+2-4.921727+0 40027506 1144 1.140377+2-3.580736+0 1.140874+2-3.161866+0 1.141876+2-2.512011+0 40027506 1145 1.143415+2-1.607279+0 1.144122+2-1.262877+0 1.145044+2-9.101012-1 40027506 1146 1.145570+2-7.447820-1 1.146030+2-6.191179-1 1.146433+2-5.230059-1 40027506 1147 1.147138+2-3.851192-1 1.147667+2-3.070946-1 1.148063+2-2.634126-1 40027506 1148 1.148658+2-2.241528-1 1.148955+2-2.187290-1 1.149253+2-2.303473-1 40027506 1149 1.150450+2-2.963944-1 1.151049+2-3.557815-1 1.151349+2-3.998942-1 40027506 1150 1.151972+2-5.427458-1 1.153106+2-7.506940-1 1.153956+2-9.403950-1 40027506 1151 1.154248+2-1.034798+0 1.157405+2-1.880736+0 1.160209+2-2.470636+0 40027506 1152 1.162433+2-2.791676+0 1.164918+2-3.087679+0 1.166904+2-3.290209+0 40027506 1153 1.168593+2-3.307367+0 1.172942+2-3.148480+0 1.181237+2-2.838554+0 40027506 1154 1.192691+2-2.616656+0 1.198743+2-2.586412+0 1.245186+2-2.174226+0 40027506 1155 1.305786+2-1.798855+0 1.404239+2-1.341948+0 1.515603+2-9.271131-1 40027506 1156 1.613243+2-6.306516-1 1.679135+2-4.615666-1 1.748458+2-3.140345-1 40027506 1157 1.793242+2-2.344087-1 1.821289+2-1.887983-1 1.877455+2-1.057855-1 40027506 1158 1.896177+2-8.187263-2 1.931564+2-4.198174-2 1.952024+2-2.139414-2 40027506 1159 1.985887+2 1.471071-2 2.041738+2 6.548870-2 2.092305+2 1.039313-1 40027506 1160 2.157691+2 1.464621-1 2.213984+2 1.780400-1 2.278405+2 2.089869-1 40027506 1161 2.394611+2 2.531013-1 2.573172+2 3.033867-1 2.802206+2 3.430905-1 40027506 1162 3.024267+2 3.611753-1 3.415666+2 3.678070-1 4.250284+2 3.398673-1 40027506 1163 6.126288+2 2.511159-1 7.646744+2 1.964786-1 9.225714+2 1.555751-1 40027506 1164 1.095862+3 1.236750-1 1.271672+3 1.003957-1 1.452437+3 8.277533-2 40027506 1165 1.647113+3 6.854473-2 1.889743+3 5.544623-2 2.164081+3 4.468968-2 40027506 1166 2.448536+3 3.648905-2 2.786121+3 2.940588-2 3.176998+3 2.348962-2 40027506 1167 3.600720+3 1.886627-2 4.073803+3 1.513859-2 4.558253+3 1.232160-2 40027506 1168 5.128614+3 9.887478-3 5.791899+3 7.822853-3 6.524259+3 6.175692-3 40027506 1169 7.274487+3 4.936868-3 8.034615+3 3.992421-3 8.840456+3 3.226407-3 40027506 1170 9.879475+3 2.484093-3 1.096263+4 1.909051-3 1.206539+4 1.466659-3 40027506 1171 1.330525+4 1.077365-3 1.446847+4 7.862515-4 1.539291+4 5.998829-4 40027506 1172 1.640589+4 4.310503-4 1.743427+4 2.889308-4 1.812422+4 2.066829-4 40027506 1173 1.888723+4 1.261193-4 1.933441+4 8.326911-5 1.974831+4 4.617773-5 40027506 1174 2.011818+4 1.495049-5 2.060301+4-2.346340-5 2.087802+4-4.407292-5 40027506 1175 2.136816+4-7.885563-5 2.228319+4-1.376906-4 2.374753+4-2.182134-4 40027506 1176 2.517793+4-2.836415-4 2.742000+4-3.663612-4 3.031106+4-4.471340-4 40027506 1177 3.427071+4-5.263526-4 4.060099+4-6.081370-4 5.022115+4-6.784370-4 40027506 1178 6.838006+4-7.394827-4 1.089569+5-7.828086-4 2.712801+5-8.064317-4 40027506 1179 8.293732+5-8.104880-4 2.567148+6-8.109233-4 7.752663+6-8.109684-4 40027506 1180 1.000000+7-8.109641-4 40027506 1181 40027 0 1182 400 0 0 1183 0 0 0 1184 5.000000+3 1.071710+1 -1 0 0 3 500 1451 1 0.0 0.0 0 0 0 6 500 1451 2 0.0 0.0 0 0 3 6 500 1451 3 0.0 0.0 0 0 136 16 500 1451 4 5-B LLNL Eval-Jul97 D.E.Cullen, et al. 500 1451 5 UCRL50400,Vol.6,Rev.5 Dist-Jul97 Rev0-Oct89 500 1451 6 ---- ENDF/B-VI MATERIAL 500 500 1451 7 ----- PHOTO-ATOMIC INTERACTION DATA 500 1451 8 ------ ENDF/B-6 500 1451 9 ================================================================= 500 1451 10 The Livermore Evaluated Photon Data Library (EPDL97) in the 500 1451 11 ENDF/B-VI format 500 1451 12 ================================================================= 500 1451 13 Contents 500 1451 14 ================================================================= 500 1451 15 MF/MT Description 500 1451 16 ================================================================= 500 1451 17 23/501 Total cross sections 500 1451 18 23/502 Coherent scattering cross sections 500 1451 19 23/504 Incoherent scattering cross sections 500 1451 20 23/515 Pair production cross sections, Electron field 500 1451 21 23/516 Pair production cross sections, Total 500 1451 22 23/517 Pair production cross sections, Nuclear field 500 1451 23 23/522 Total photoionization cross section 500 1451 24 23/534 K (1S1/2) Photoionization subshell cross section 500 1451 25 23/535 L1 (2S1/2) Photoionization subshell cross section 500 1451 26 23/536 L2 (2P1/2) Photoionization subshell cross section 500 1451 27 23/537 L3 (2P3/2) Photoionization subshell cross section 500 1451 28 ================================================================= 500 1451 29 27/502 Coherent scattering form factors 500 1451 30 27/504 Incoherent scattering functions 500 1451 31 27/505 Imaginary anomalous scattering factor 500 1451 32 27/506 Real anomalous scattering factor 500 1451 33 ================================================================= 500 1451 34 Warning 500 1451 35 ================================================================= 500 1451 36 MF/MT combinations used to define photoionization subshell cross 500 1451 37 sections (MF=23, MT=534-572) and coherent anomalous scattering 500 1451 38 factors (MF=27, MT=505 AND 506) are newly defined MF/MT numbers 500 1451 39 for ENDF/B-VI that did not exist in earlier versions of ENDF/B. 500 1451 40 If you are not prepared to use this data you need merely delete 500 1451 41 it and all of the remaining data will still be consistent and 500 1451 42 equivalent to the types of data in earlier versions of ENDF/B. 500 1451 43 However, this will limit the range of problems to which this 500 1451 44 data can be applied (see: ref. 1 for details). 500 1451 45 ================================================================= 500 1451 46 Definition of new types of data 500 1451 47 ================================================================= 500 1451 48 1) The total photoionization cross section is equal to the sum 500 1451 49 of the photoionization subshell cross sections. 500 1451 50 500 1451 51 For each subshell on the second line of a section the C1 and 500 1451 52 C2 fields are defined as, 500 1451 53 500 1451 54 EPE = The photoionization edge energy (similar to Q-value) 500 1451 55 EFL = The fluorescence yield (eV/photoionization) 500 1451 56 500 1451 57 2) The angular distribution of coherently scattered photons is, 500 1451 58 500 1451 59 S(E,MU) = 3*T/8*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 500 1451 60 500 1451 61 S(E,MU) = Angular distributions (barns per unit cosine) 500 1451 62 T = The Thomson cross section 500 1451 63 MU = The cosine of the scattering angle 500 1451 64 FF(M) = The atomic form factor 500 1451 65 M = Momentum transfer = SIN(THETA/2)/LAMBDA/4*PI 500 1451 66 F1(E) = The real anomalous scattering factor 500 1451 67 F2(E) = The imaginary anomalous scattering factor 500 1451 68 500 1451 69 F1(E) and F2(E) are isotropic. 500 1451 70 500 1451 71 When F1(E) = F2(E) = 0 this reduces to the result obtained 500 1451 72 using only form factors (the older ENDF/B convention). 500 1451 73 ================================================================= 500 1451 74 Differences between EPDL97 and the data base presented here 500 1451 75 ================================================================= 500 1451 76 1) Energy range - EPDL97 - 1 eV to 100 GeV 500 1451 77 Here - 1 eV TO 100 GeV (previously 100 MeV) 500 1451 78 2) Type of Data - EPDL97 - Photon interaction including 500 1451 79 photoexcitation 500 1451 80 Here - Photon interaction - ENDF/B-VI has 500 1451 81 no provision for photoexcitation 500 1451 82 3) Secondary E - EPDL97 - Average energy of each secondary 500 1451 83 (photons, electrons, positrons) 500 1451 84 HERE - No secondary energy data 500 1451 85 4) Interpolation- EPDL97 - Cross sections are Log X vs. Log Y 500 1451 86 interpolable - the total cross 500 1451 87 section is not included 500 1451 88 - Form factors and scattering functions 500 1451 89 are Log X vs. Log y, except first 500 1451 90 interval. 500 1451 91 - Anomalous scattering factors linearly 500 1451 92 interpolable (they can be negative) 500 1451 93 Here - Up through ENDF/B-V photon interaction 500 1451 94 cross sections were Log X vs. Log Y. 500 1451 95 - For the first two Mods. of ENDF/B-VI 500 1451 96 in order to consistently define the 500 1451 97 total cross sections at ALL energies 500 1451 98 all cross sections were linearized. 500 1451 99 This was NOT a good idea. 500 1451 100 - Starting with Mod. 3, cross sections 500 1451 101 are left in Log X vs. Log. Y form so 500 1451 102 that they are IDENTICAL to what's in 500 1451 103 EPDL97. 500 1451 104 The total is defined ONLY at the 500 1451 105 energies tabulated in any other cross 500 1451 106 section. 500 1451 107 WARNING - As a result the total cross section 500 1451 108 MUST NOT be interpolated to define the 500 1451 109 total between tabulated energies. The 500 1451 110 ONLY consist way to define the total 500 1451 111 between tabulated energies is to 500 1451 112 interpolate all of the partials and 500 1451 113 add them up. 500 1451 114 ================================================================= 500 1451 115 References 500 1451 116 ================================================================= 500 1451 117 1) D.E. Cullen, M.H. Chen, J.H. Hubbell, S.T. Perkins, 500 1451 118 E.F. Plechaty, J.A. Rathkopf and J.H. Scofield, Tables and 500 1451 119 graphs of photon interaction cross sections from 10 eV to 100 500 1451 120 GeV derived from the LLNL Evaluated Photon data library (EPDL), 500 1451 121 UCRL-50400, Vol. 6, Rev. 4, Part A: Z = 1 to 50 and Part B: 500 1451 122 Z = 51 to 100, Lawrence Livermore National Laboratory (1989) 500 1451 123 500 1451 124 2) D.E. Cullen, J.H. Hubbell and L.D. Kissel, EPDL97: the 500 1451 125 Evaluated Photon Data Library, '97 Version, UCRL-50400, Vol. 6, 500 1451 126 Rev. 5, Lawrence Livermore National Laboratory (1997) 500 1451 127 500 1451 128 These are the primary references to the contents of this library 500 1451 129 and they contain a complete list of references to the sources 500 1451 130 of data used in this library, methods of evaluation, accuracy 500 1451 131 of the data, etc. 500 1451 132 ================================================================= 500 1451 133 History 500 1451 134 ================================================================= 500 1451 135 Mod. 1 - October, 1989 - Initial release. 500 1451 136 Mod. 2 - August, 1990 - Updated photoionization total and 500 1451 137 subshell cross sections. 500 1451 138 Mod. 3 - July, 1997 - Complete re-evaluation. 500 1451 139 ================================================================= 500 1451 140 1 451 156 3 500 1451 141 23 501 395 3 500 1451 142 23 502 205 3 500 1451 143 23 504 40 3 500 1451 144 23 515 31 3 500 1451 145 23 516 45 3 500 1451 146 23 517 34 3 500 1451 147 23 522 120 3 500 1451 148 23 534 30 3 500 1451 149 23 535 40 3 500 1451 150 23 536 40 3 500 1451 151 23 537 39 3 500 1451 152 27 502 47 3 500 1451 153 27 504 48 3 500 1451 154 27 505 98 3 500 1451 155 27 506 111 3 500 1451 156 500 1 0 157 500 0 0 158 5.000000+3 1.071710+1 0 0 0 0 50023501 159 0.0 0.0 0 0 1 1176 50023501 160 1176 5 50023501 161 1.000000+0 7.715091-4 1.060347+0 9.833133-4 1.199234+0 1.646267-3 50023501 162 1.258900+0 2.026074-3 1.356312+0 2.786398-3 1.533965+0 4.776939-3 50023501 163 1.584900+0 5.533877-3 1.682315+0 7.239022-3 1.789103+0 9.601090-3 50023501 164 1.898026+0 1.265808-2 1.995300+0 1.608131-2 2.000247+0 1.627316-2 50023501 165 2.141909+0 2.269503-2 2.230510+0 2.780129-2 2.313573+0 3.352140-2 50023501 166 2.391446+0 3.988285-2 2.464451+0 4.688972-2 2.511900+0 5.209911-2 50023501 167 2.532893+0 5.455037-2 2.597057+0 6.287032-2 2.657212+0 7.187431-2 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6.977538+0-1.418218+0 7.121900+0-1.705523+0 50027506 1438 7.386667+0-2.074422+0 7.747559+0-2.387836+0 8.205138+0-2.628920+0 50027506 1439 9.083669+0-2.877769+0 1.004714+1-3.097344+0 1.021543+1-3.256617+0 50027506 1440 1.031552+1-3.347899+0 1.038432+1-3.177334+0 1.047190+1-2.790922+0 50027506 1441 1.052819+1-2.703944+0 1.075247+1-2.948356+0 1.120383+1-3.162657+0 50027506 1442 1.138308+1-3.284392+0 1.147960+1-3.104243+0 1.157612+1-2.928389+0 50027506 1443 1.168396+1-3.016692+0 1.182705+1-3.166107+0 1.205599+1-3.083515+0 50027506 1444 1.508993+1-3.022812+0 2.542802+1-2.623468+0 3.673484+1-2.371472+0 50027506 1445 4.990281+1-2.226585+0 7.233484+1-2.161293+0 9.554742+1-2.235819+0 50027506 1446 1.188332+2-2.438719+0 1.371474+2-2.723205+0 1.517878+2-3.103905+0 50027506 1447 1.622294+2-3.555261+0 1.692779+2-4.051963+0 1.741981+2-4.605865+0 50027506 1448 1.783152+2-4.257613+0 1.806465+2-3.830517+0 1.820683+2-3.369506+0 50027506 1449 1.829971+2-2.897169+0 1.836834+2-2.376648+0 1.840504+2-1.981980+0 50027506 1450 1.843060+2-1.604757+0 1.844061+2-1.389490+0 1.844384+2-1.301198+0 50027506 1451 1.845846+2-1.024459+0 1.848639+2-5.960578-1 1.850908+2-2.573676-1 50027506 1452 1.852043+2-7.215380-2 1.852610+2 2.977059-2 1.853178+2 1.516942-1 50027506 1453 1.857717+2 1.008787+0 1.858284+2 1.136872+0 1.862823+2 1.884116+0 50027506 1454 1.863816+2 2.003571+0 1.867362+2 2.284549+0 1.869100+2 2.279477+0 50027506 1455 1.871906+2 2.069100+0 1.873639+2 1.787316+0 1.875314+2 1.386932+0 50027506 1456 1.877008+2 8.406718-1 1.877859+2 5.428665-1 1.878497+2 3.009805-1 50027506 1457 1.878976+2 1.068381-1 1.879694+2-2.107908-1 1.880053+2-3.864940-1 50027506 1458 1.880232+2-4.814838-1 1.880696+2-7.546804-1 1.883385+2-2.169380+0 50027506 1459 1.884727+2-2.991038+0 1.885686+2-3.685062+0 1.889068+2-5.848719+0 50027506 1460 1.889951+2-5.170234+0 1.894377+2-2.471726+0 1.895319+2-1.900166+0 50027506 1461 1.896573+2-1.265706+0 1.898967+2-1.584540-1 1.899333+2 1.892621-2 50027506 1462 1.900043+2 3.040444-1 1.900708+2 5.384050-1 1.901334+2 7.373458-1 50027506 1463 1.902501+2 1.061489+0 1.903525+2 1.301689+0 1.905203+2 1.615227+0 50027506 1464 1.906574+2 1.800392+0 1.908374+2 1.945112+0 1.910109+2 1.961496+0 50027506 1465 1.912626+2 1.753778+0 1.916136+2 1.269621+0 1.916615+2 1.184252+0 50027506 1466 1.917094+2 1.072821+0 1.921368+2 2.191021-1 1.921955+2 7.574960-2 50027506 1467 1.922982+2-1.214573-1 1.926063+2-6.625996-1 1.926730+2-7.874050-1 50027506 1468 1.927897+2-9.647137-1 1.929648+2-1.193239+0 1.934737+2-1.775715+0 50027506 1469 1.936154+2-1.986895+0 1.938032+2-2.160245+0 1.940447+2-2.267224+0 50027506 1470 1.944543+2-2.332179+0 1.966474+2-2.079574+0 1.978087+2-2.020140+0 50027506 1471 1.990000+2-2.034394+0 2.057814+2-1.913886+0 2.180769+2-1.593270+0 50027506 1472 2.406840+2-9.571521-1 2.505310+2-7.287923-1 2.591160+2-5.665471-1 50027506 1473 2.691535+2-4.130779-1 2.764880+2-3.201684-1 2.853648+2-2.233649-1 50027506 1474 2.932680+2-1.520340-1 3.022962+2-7.881288-2 3.079314+2-4.066767-2 50027506 1475 3.119134+2-1.209673-2 3.158658+2 1.150083-2 3.186453+2 2.812575-2 50027506 1476 3.225948+2 4.945229-2 3.269157+2 7.405702-2 3.381237+2 1.300631-1 50027506 1477 3.475261+2 1.698901-1 3.647726+2 2.305829-1 3.826098+2 2.765270-1 50027506 1478 4.110795+2 3.263988-1 4.430524+2 3.574266-1 4.946668+2 3.807241-1 50027506 1479 5.714963+2 3.797823-1 8.144582+2 3.061655-1 1.040908+3 2.401197-1 50027506 1480 1.256357+3 1.928895-1 1.488297+3 1.554123-1 1.745233+3 1.252497-1 50027506 1481 1.980160+3 1.045920-1 2.302007+3 8.380344-2 2.659116+3 6.727337-2 50027506 1482 3.005865+3 5.547129-2 3.456464+3 4.428199-2 3.951324+3 3.542529-2 50027506 1483 4.457230+3 2.879724-2 5.043736+3 2.317043-2 5.648303+3 1.889463-2 50027506 1484 6.331027+3 1.530287-2 7.124224+3 1.222196-2 7.862427+3 1.007416-2 50027506 1485 8.799854+3 8.015057-3 9.726230+3 6.487599-3 1.075823+4 5.193470-3 50027506 1486 1.189596+4 4.106936-3 1.312973+4 3.211058-3 1.420053+4 2.602146-3 50027506 1487 1.541085+4 2.050367-3 1.656874+4 1.623463-3 1.806979+4 1.181840-3 50027506 1488 1.945936+4 8.542190-4 2.119976+4 5.165123-4 2.211918+4 3.636920-4 50027506 1489 2.302827+4 2.306233-4 2.390674+4 1.160419-4 2.443303+4 5.328299-5 50027506 1490 2.491660+4-9.176525-7 2.541583+4-5.363918-5 2.600160+4-1.116999-4 50027506 1491 2.711216+4-2.115942-4 2.812734+4-2.927576-4 3.008079+4-4.264391-4 50027506 1492 3.269616+4-5.690961-4 3.645855+4-7.232321-4 4.180097+4-8.747961-4 50027506 1493 4.965735+4-1.015246-3 6.221452+4-1.139085-3 8.443681+4-1.238477-3 50027506 1494 1.357342+5-1.310883-3 3.446226+5-1.349482-3 1.070165+6-1.355835-3 50027506 1495 3.231848+6-1.356489-3 9.760024+6-1.356561-3 1.000000+7-1.356540-3 50027506 1496 50027 0 1497 500 0 0 1498 0 0 0 1499 6.000000+3 1.190780+1 -1 0 0 3 600 1451 1 0.0 0.0 0 0 0 6 600 1451 2 0.0 0.0 0 0 3 6 600 1451 3 0.0 0.0 0 0 136 16 600 1451 4 6-C LLNL Eval-Jul97 D.E.Cullen, et al. 600 1451 5 UCRL50400,Vol.6,Rev.5 Dist-Jul97 Rev0-Oct89 600 1451 6 ---- ENDF/B-VI MATERIAL 600 600 1451 7 ----- PHOTO-ATOMIC INTERACTION DATA 600 1451 8 ------ ENDF/B-6 600 1451 9 ================================================================= 600 1451 10 The Livermore Evaluated Photon Data Library (EPDL97) in the 600 1451 11 ENDF/B-VI format 600 1451 12 ================================================================= 600 1451 13 Contents 600 1451 14 ================================================================= 600 1451 15 MF/MT Description 600 1451 16 ================================================================= 600 1451 17 23/501 Total cross sections 600 1451 18 23/502 Coherent scattering cross sections 600 1451 19 23/504 Incoherent scattering cross sections 600 1451 20 23/515 Pair production cross sections, Electron field 600 1451 21 23/516 Pair production cross sections, Total 600 1451 22 23/517 Pair production cross sections, Nuclear field 600 1451 23 23/522 Total photoionization cross section 600 1451 24 23/534 K (1S1/2) Photoionization subshell cross section 600 1451 25 23/535 L1 (2S1/2) Photoionization subshell cross section 600 1451 26 23/536 L2 (2P1/2) Photoionization subshell cross section 600 1451 27 23/537 L3 (2P3/2) Photoionization subshell cross section 600 1451 28 ================================================================= 600 1451 29 27/502 Coherent scattering form factors 600 1451 30 27/504 Incoherent scattering functions 600 1451 31 27/505 Imaginary anomalous scattering factor 600 1451 32 27/506 Real anomalous scattering factor 600 1451 33 ================================================================= 600 1451 34 Warning 600 1451 35 ================================================================= 600 1451 36 MF/MT combinations used to define photoionization subshell cross 600 1451 37 sections (MF=23, MT=534-572) and coherent anomalous scattering 600 1451 38 factors (MF=27, MT=505 AND 506) are newly defined MF/MT numbers 600 1451 39 for ENDF/B-VI that did not exist in earlier versions of ENDF/B. 600 1451 40 If you are not prepared to use this data you need merely delete 600 1451 41 it and all of the remaining data will still be consistent and 600 1451 42 equivalent to the types of data in earlier versions of ENDF/B. 600 1451 43 However, this will limit the range of problems to which this 600 1451 44 data can be applied (see: ref. 1 for details). 600 1451 45 ================================================================= 600 1451 46 Definition of new types of data 600 1451 47 ================================================================= 600 1451 48 1) The total photoionization cross section is equal to the sum 600 1451 49 of the photoionization subshell cross sections. 600 1451 50 600 1451 51 For each subshell on the second line of a section the C1 and 600 1451 52 C2 fields are defined as, 600 1451 53 600 1451 54 EPE = The photoionization edge energy (similar to Q-value) 600 1451 55 EFL = The fluorescence yield (eV/photoionization) 600 1451 56 600 1451 57 2) The angular distribution of coherently scattered photons is, 600 1451 58 600 1451 59 S(E,MU) = 3*T/8*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 600 1451 60 600 1451 61 S(E,MU) = Angular distributions (barns per unit cosine) 600 1451 62 T = The Thomson cross section 600 1451 63 MU = The cosine of the scattering angle 600 1451 64 FF(M) = The atomic form factor 600 1451 65 M = Momentum transfer = SIN(THETA/2)/LAMBDA/4*PI 600 1451 66 F1(E) = The real anomalous scattering factor 600 1451 67 F2(E) = The imaginary anomalous scattering factor 600 1451 68 600 1451 69 F1(E) and F2(E) are isotropic. 600 1451 70 600 1451 71 When F1(E) = F2(E) = 0 this reduces to the result obtained 600 1451 72 using only form factors (the older ENDF/B convention). 600 1451 73 ================================================================= 600 1451 74 Differences between EPDL97 and the data base presented here 600 1451 75 ================================================================= 600 1451 76 1) Energy range - EPDL97 - 1 eV to 100 GeV 600 1451 77 Here - 1 eV TO 100 GeV (previously 100 MeV) 600 1451 78 2) Type of Data - EPDL97 - Photon interaction including 600 1451 79 photoexcitation 600 1451 80 Here - Photon interaction - ENDF/B-VI has 600 1451 81 no provision for photoexcitation 600 1451 82 3) Secondary E - EPDL97 - Average energy of each secondary 600 1451 83 (photons, electrons, positrons) 600 1451 84 HERE - No secondary energy data 600 1451 85 4) Interpolation- EPDL97 - Cross sections are Log X vs. Log Y 600 1451 86 interpolable - the total cross 600 1451 87 section is not included 600 1451 88 - Form factors and scattering functions 600 1451 89 are Log X vs. Log y, except first 600 1451 90 interval. 600 1451 91 - Anomalous scattering factors linearly 600 1451 92 interpolable (they can be negative) 600 1451 93 Here - Up through ENDF/B-V photon interaction 600 1451 94 cross sections were Log X vs. Log Y. 600 1451 95 - For the first two Mods. of ENDF/B-VI 600 1451 96 in order to consistently define the 600 1451 97 total cross sections at ALL energies 600 1451 98 all cross sections were linearized. 600 1451 99 This was NOT a good idea. 600 1451 100 - Starting with Mod. 3, cross sections 600 1451 101 are left in Log X vs. Log. Y form so 600 1451 102 that they are IDENTICAL to what's in 600 1451 103 EPDL97. 600 1451 104 The total is defined ONLY at the 600 1451 105 energies tabulated in any other cross 600 1451 106 section. 600 1451 107 WARNING - As a result the total cross section 600 1451 108 MUST NOT be interpolated to define the 600 1451 109 total between tabulated energies. The 600 1451 110 ONLY consist way to define the total 600 1451 111 between tabulated energies is to 600 1451 112 interpolate all of the partials and 600 1451 113 add them up. 600 1451 114 ================================================================= 600 1451 115 References 600 1451 116 ================================================================= 600 1451 117 1) D.E. Cullen, M.H. Chen, J.H. Hubbell, S.T. Perkins, 600 1451 118 E.F. Plechaty, J.A. Rathkopf and J.H. Scofield, Tables and 600 1451 119 graphs of photon interaction cross sections from 10 eV to 100 600 1451 120 GeV derived from the LLNL Evaluated Photon data library (EPDL), 600 1451 121 UCRL-50400, Vol. 6, Rev. 4, Part A: Z = 1 to 50 and Part B: 600 1451 122 Z = 51 to 100, Lawrence Livermore National Laboratory (1989) 600 1451 123 600 1451 124 2) D.E. Cullen, J.H. Hubbell and L.D. Kissel, EPDL97: the 600 1451 125 Evaluated Photon Data Library, '97 Version, UCRL-50400, Vol. 6, 600 1451 126 Rev. 5, Lawrence Livermore National Laboratory (1997) 600 1451 127 600 1451 128 These are the primary references to the contents of this library 600 1451 129 and they contain a complete list of references to the sources 600 1451 130 of data used in this library, methods of evaluation, accuracy 600 1451 131 of the data, etc. 600 1451 132 ================================================================= 600 1451 133 History 600 1451 134 ================================================================= 600 1451 135 Mod. 1 - October, 1989 - Initial release. 600 1451 136 Mod. 2 - August, 1990 - Updated photoionization total and 600 1451 137 subshell cross sections. 600 1451 138 Mod. 3 - July, 1997 - Complete re-evaluation. 600 1451 139 ================================================================= 600 1451 140 1 451 156 3 600 1451 141 23 501 407 3 600 1451 142 23 502 215 3 600 1451 143 23 504 40 3 600 1451 144 23 515 31 3 600 1451 145 23 516 45 3 600 1451 146 23 517 35 3 600 1451 147 23 522 122 3 600 1451 148 23 534 29 3 600 1451 149 23 535 40 3 600 1451 150 23 536 42 3 600 1451 151 23 537 41 3 600 1451 152 27 502 49 3 600 1451 153 27 504 51 3 600 1451 154 27 505 94 3 600 1451 155 27 506 117 3 600 1451 156 600 1 0 157 600 0 0 158 6.000000+3 1.190780+1 0 0 0 0 60023501 159 0.0 0.0 0 0 1 1210 60023501 160 1210 5 60023501 161 1.000000+0 5.091476-5 1.086769+0 7.206259-5 1.125000+0 8.360365-5 60023501 162 1.155754+0 9.305829-5 1.191871+0 1.054148-4 1.258900+0 1.326669-4 60023501 163 1.267527+0 1.365303-4 1.307137+0 1.547031-4 1.347985+0 1.758113-4 60023501 164 1.390109+0 2.005435-4 1.423828+0 2.225907-4 1.478349+0 2.600358-4 60023501 165 1.524547+0 2.964139-4 1.584900+0 3.514655-4 1.601807+0 3.682178-4 60023501 166 1.671987+0 4.417854-4 1.724236+0 5.054749-4 1.802032+0 6.162299-4 60023501 167 1.890987+0 7.601636-4 1.950081+0 8.732292-4 1.995300+0 9.699831-4 60023501 168 2.048000+0 1.093113-3 2.205507+0 1.521574-3 2.345505+0 2.016191-3 60023501 169 2.494390+0 2.691259-3 2.511900+0 2.783619-3 2.652725+0 3.621482-3 60023501 170 2.820256+0 4.910376-3 2.981672+0 6.529628-3 3.133157+0 8.489705-3 60023501 171 3.162300+0 8.927390-3 3.205368+0 9.607773-3 3.343091+0 1.213271-2 60023501 172 3.408741+0 1.354866-2 3.595563+0 1.857409-2 3.717102+0 2.279645-2 60023501 173 3.819385+0 2.703491-2 3.920918+0 3.211702-2 3.981100+0 3.559970-2 60023501 174 4.016105+0 3.776964-2 4.105342+0 4.406895-2 4.196260+0 5.168201-2 60023501 175 4.267434+0 5.860510-2 4.340963+0 6.694063-2 4.409897+0 7.603856-2 60023501 176 4.474523+0 8.595126-2 4.535109+0 9.670873-2 4.592129+0 1.083931-1 60023501 177 4.645159+0 1.208740-1 4.695080+0 1.343950-1 4.741882+0 1.489909-1 60023501 178 4.785758+0 1.647078-1 4.826892+0 1.815645-1 4.865456+0 1.995844-1 60023501 179 4.901609+0 2.188380-1 4.935502+0 2.394231-1 4.967278+0 2.614311-1 60023501 180 4.997067+0 2.849431-1 5.011900+0 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