JENDL-4.0 Ti-000 0 0 0 0 2.200000+4 4.748850+1 -1 0 6 12200 1451 1 0.000000+0 0.000000+0 0 0 0 62200 1451 2 0.000000+0 1.000000+8 0 0 3 42200 1451 3 0.000000+0 0.000000+0 0 0 144 222200 1451 4 22-Ti- 0 LLNL EVAL-Jul97 D.E.Cullen, et al. 2200 1451 5 UCRL50400,Vol.6,Rev.5 DIST-MAY10 20100228 2200 1451 6 ----JENDL-4.0 MATERIAL 2200 2200 1451 7 -----PHOTO-ATOMIC INTERACTION DATA 2200 1451 8 ------ENDF-6 FORMAT 2200 1451 9 =================================================================2200 1451 10 The data were taken from EPDL97. 2200 1451 11 =================================================================2200 1451 12 The Livermore Evaluated Photon Data Library (EPDL97) in the 2200 1451 13 ENDF/B-VI format 2200 1451 14 =================================================================2200 1451 15 Contents 2200 1451 16 =================================================================2200 1451 17 MF/MT Description 2200 1451 18 =================================================================2200 1451 19 23/501 Total cross sections 2200 1451 20 23/502 Coherent scattering cross sections 2200 1451 21 23/504 Incoherent scattering cross sections 2200 1451 22 23/515 Pair production cross sections, Electron field 2200 1451 23 23/516 Pair production cross sections, Total 2200 1451 24 23/517 Pair production cross sections, Nuclear field 2200 1451 25 23/522 Total photoionization cross section 2200 1451 26 23/534 K (1S1/2) Photoionization subshell cross section 2200 1451 27 23/535 L1 (2S1/2) Photoionization subshell cross section 2200 1451 28 23/536 L2 (2P1/2) Photoionization subshell cross section 2200 1451 29 23/537 L3 (2P3/2) Photoionization subshell cross section 2200 1451 30 23/538 M1 (3S1/2) Photoionization subshell cross section 2200 1451 31 23/539 M2 (3P1/2) Photoionization subshell cross section 2200 1451 32 23/540 M3 (3P3/2) Photoionization subshell cross section 2200 1451 33 23/541 M4 (3D3/2) Photoionization subshell cross section 2200 1451 34 23/542 M5 (3D5/2) Photoionization subshell cross section 2200 1451 35 23/543 N1 (4S1/2) Photoionization subshell cross section 2200 1451 36 =================================================================2200 1451 37 27/502 Coherent scattering form factors 2200 1451 38 27/504 Incoherent scattering functions 2200 1451 39 27/505 Imaginary anomalous scattering factor 2200 1451 40 27/506 Real anomalous scattering factor 2200 1451 41 =================================================================2200 1451 42 Warning 2200 1451 43 =================================================================2200 1451 44 MF/MT combinations used to define photoionization subshell cross2200 1451 45 sections (MF=23, MT=534-572) and coherent anomalous scattering 2200 1451 46 factors (MF=27, MT=505 AND 506) are newly defined MF/MT numbers 2200 1451 47 for ENDF/B-VI that did not exist in earlier versions of ENDF/B. 2200 1451 48 If you are not prepared to use this data you need merely delete 2200 1451 49 it and all of the remaining data will still be consistent and 2200 1451 50 equivalent to the types of data in earlier versions of ENDF/B. 2200 1451 51 However, this will limit the range of problems to which this 2200 1451 52 data can be applied (see: ref. 1 for details). 2200 1451 53 =================================================================2200 1451 54 Definition of new types of data 2200 1451 55 =================================================================2200 1451 56 1) The total photoionization cross section is equal to the sum 2200 1451 57 of the photoionization subshell cross sections. 2200 1451 58 2200 1451 59 For each subshell on the second line of a section the C1 and 2200 1451 60 C2 fields are defined as, 2200 1451 61 2200 1451 62 EPE = The photoionization edge energy (similar to Q-value) 2200 1451 63 EFL = The fluorescence yield (eV/photoionization) 2200 1451 64 2200 1451 65 2) The angular distribution of coherently scattered photons is, 2200 1451 66 2200 1451 67 S(E,MU) = 3*T/8*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 2200 1451 68 2200 1451 69 S(E,MU) = Angular distributions (barns per unit cosine) 2200 1451 70 T = The Thomson cross section 2200 1451 71 MU = The cosine of the scattering angle 2200 1451 72 FF(M) = The atomic form factor 2200 1451 73 M = Momentum transfer = SIN(THETA/2)/LAMBDA/4*PI 2200 1451 74 F1(E) = The real anomalous scattering factor 2200 1451 75 F2(E) = The imaginary anomalous scattering factor 2200 1451 76 2200 1451 77 F1(E) and F2(E) are isotropic. 2200 1451 78 2200 1451 79 When F1(E) = F2(E) = 0 this reduces to the result obtained 2200 1451 80 using only form factors (the older ENDF/B convention). 2200 1451 81 =================================================================2200 1451 82 Differences between EPDL97 and the data base presented here 2200 1451 83 =================================================================2200 1451 84 1) Energy range - EPDL97 - 1 eV to 100 GeV 2200 1451 85 Here - 1 eV TO 100 GeV (previously 100 MeV) 2200 1451 86 2) Type of Data - EPDL97 - Photon interaction including 2200 1451 87 photoexcitation 2200 1451 88 Here - Photon interaction - ENDF/B-VI has 2200 1451 89 no provision for photoexcitation 2200 1451 90 3) Secondary E - EPDL97 - Average energy of each secondary 2200 1451 91 (photons, electrons, positrons) 2200 1451 92 HERE - No secondary energy data 2200 1451 93 4) Interpolation- EPDL97 - Cross sections are Log X vs. Log Y 2200 1451 94 interpolable - the total cross 2200 1451 95 section is not included 2200 1451 96 - Form factors and scattering functions 2200 1451 97 are Log X vs. Log y, except first 2200 1451 98 interval. 2200 1451 99 - Anomalous scattering factors linearly 2200 1451 100 interpolable (they can be negative) 2200 1451 101 Here - Up through ENDF/B-V photon interaction2200 1451 102 cross sections were Log X vs. Log Y. 2200 1451 103 - For the first two Mods. of ENDF/B-VI 2200 1451 104 in order to consistently define the 2200 1451 105 total cross sections at ALL energies 2200 1451 106 all cross sections were linearized. 2200 1451 107 This was NOT a good idea. 2200 1451 108 - Starting with Mod. 3, cross sections 2200 1451 109 are left in Log X vs. Log. Y form so 2200 1451 110 that they are IDENTICAL to what's in 2200 1451 111 EPDL97. 2200 1451 112 The total is defined ONLY at the 2200 1451 113 energies tabulated in any other cross 2200 1451 114 section. 2200 1451 115 WARNING - As a result the total cross section 2200 1451 116 MUST NOT be interpolated to define the2200 1451 117 total between tabulated energies. The 2200 1451 118 ONLY consist way to define the total 2200 1451 119 between tabulated energies is to 2200 1451 120 interpolate all of the partials and 2200 1451 121 add them up. 2200 1451 122 =================================================================2200 1451 123 References 2200 1451 124 =================================================================2200 1451 125 1) D.E. Cullen, M.H. Chen, J.H. Hubbell, S.T. Perkins, 2200 1451 126 E.F. Plechaty, J.A. Rathkopf and J.H. Scofield, Tables and 2200 1451 127 graphs of photon interaction cross sections from 10 eV to 100 2200 1451 128 GeV derived from the LLNL Evaluated Photon data library (EPDL), 2200 1451 129 UCRL-50400, Vol. 6, Rev. 4, Part A: Z = 1 to 50 and Part B: 2200 1451 130 Z = 51 to 100, Lawrence Livermore National Laboratory (1989) 2200 1451 131 2200 1451 132 2) D.E. Cullen, J.H. Hubbell and L.D. Kissel, EPDL97: the 2200 1451 133 Evaluated Photon Data Library, '97 Version, UCRL-50400, Vol. 6, 2200 1451 134 Rev. 5, Lawrence Livermore National Laboratory (1997) 2200 1451 135 2200 1451 136 These are the primary references to the contents of this library2200 1451 137 and they contain a complete list of references to the sources 2200 1451 138 of data used in this library, methods of evaluation, accuracy 2200 1451 139 of the data, etc. 2200 1451 140 =================================================================2200 1451 141 History 2200 1451 142 =================================================================2200 1451 143 Mod. 1 - October, 1989 - Initial release. 2200 1451 144 Mod. 2 - August, 1990 - Updated photoionization total and 2200 1451 145 subshell cross sections. 2200 1451 146 Mod. 3 - July, 1997 - Complete re-evaluation. 2200 1451 147 =================================================================2200 1451 148 1 451 170 12200 1451 149 23 501 671 12200 1451 150 23 502 289 12200 1451 151 23 504 40 12200 1451 152 23 515 32 12200 1451 153 23 516 49 12200 1451 154 23 517 37 12200 1451 155 23 522 315 12200 1451 156 23 534 23 12200 1451 157 23 535 29 12200 1451 158 23 536 36 12200 1451 159 23 537 37 12200 1451 160 23 538 36 12200 1451 161 23 539 48 12200 1451 162 23 540 49 12200 1451 163 23 541 48 12200 1451 164 23 542 49 12200 1451 165 23 543 77 12200 1451 166 27 502 52 12200 1451 167 27 504 53 12200 1451 168 27 505 124 12200 1451 169 27 506 128 12200 1451 170 0.000000+0 0.000000+0 0 0 0 02200 1 099999 0.000000+0 0.000000+0 0 0 0 02200 0 0 0 2.200000+4 4.748850+1 0 0 0 0220023501 1 0.000000+0 0.000000+0 0 0 1 2003220023501 2 2003 5 220023501 3 1.000000+0 4.896171-2 1.112188+0 7.971808-2 1.182786+0 1.065759-1220023501 4 1.257865+0 1.435374-1 1.258900+0 1.441218-1 1.297174+0 1.671054-1220023501 5 1.337710+0 1.950026-1 1.379514+0 2.281444-1 1.422623+0 2.676713-1220023501 6 1.466748+0 3.146147-1 1.509494+0 3.673434-1 1.550904+0 4.262767-1220023501 7 1.584900+0 4.813526-1 1.591021+0 4.918635-1 1.629883+0 5.647126-1220023501 8 1.667531+0 6.453912-1 1.704003+0 7.344787-1 1.739334+0 8.325855-1220023501 9 1.773562+0 9.403540-1 1.806720+0 1.058459+0 1.838842+0 1.187614+0220023501 10 1.869960+0 1.328562+0 1.900106+0 1.482091+0 1.929309+0 1.649024+0220023501 11 1.957600+0 1.830228+0 1.985007+0 2.026711+0 1.995300+0 2.107379+0220023501 12 2.011557+0 2.240462+0 2.062195+0 2.716922+0 2.086333+0 2.983428+0220023501 13 2.109717+0 3.270779+0 2.132370+0 3.579728+0 2.154316+0 3.911529+0220023501 14 2.175575+0 4.267490+0 2.196170+0 4.648974+0 2.216122+0 5.057410+0220023501 15 2.235450+0 5.494464+0 2.254174+0 5.962715+0 2.272313+0 6.464603+0220023501 16 2.304000+0 7.463093+0 2.323399+0 8.163337+0 2.339374+0 8.803986+0220023501 17 2.354851+0 9.488481+0 2.369844+0 1.021842+1 2.398892+0 1.184047+1220023501 18 2.426125+0 1.365947+1 2.451656+0 1.569992+1 2.475591+0 1.798352+1220023501 19 2.498030+0 2.053221+1 2.511900+0 2.236377+1 2.519067+0 2.336901+1220023501 20 2.538789+0 2.651806+1 2.557279+0 3.000454+1 2.574612+0 3.385458+1220023501 21 2.590863+0 3.809518+1 2.606098+0 4.275406+1 2.620380+0 4.785960+1220023501 22 2.633770+0 5.344063+1 2.646323+0 5.952630+1 2.658092+0 6.614593+1220023501 23 2.669125+0 7.332884+1 2.679468+0 8.110419+1 2.689165+0 8.950088+1220023501 24 2.698256+0 9.854744+1 2.706779+0 1.082721+2 2.714769+0 1.187028+2220023501 25 2.722259+0 1.298674+2 2.729282+0 1.417936+2 2.735866+0 1.545096+2220023501 26 2.742038+0 1.680438+2 2.747824+0 1.824263+2 2.753249+0 1.976896+2220023501 27 2.758334+0 2.138694+2 2.763102+0 2.310051+2 2.767572+0 2.491387+2220023501 28 2.771763+0 2.683129+2 2.779620+0 3.114517+2 2.786495+0 3.594362+2220023501 29 2.792510+0 4.122216+2 2.797774+0 4.694017+2 2.802380+0 5.302138+2220023501 30 2.806410+0 5.936231+2 2.809936+0 6.584477+2 2.813021+0 7.234865+2220023501 31 2.815721+0 7.876230+2 2.820446+0 9.184687+2 2.826647+0 1.132563+3220023501 32 2.835492+0 1.540404+3 2.845085+0 2.149380+3 2.848574+0 2.419403+3220023501 33 2.853806+0 2.875500+3 2.858031+0 3.288330+3 2.862528+0 3.769528+3220023501 34 2.864272+0 3.967054+3 2.869505+0 4.591743+3 2.873873+0 5.143419+3220023501 35 2.879367+0 5.861692+3 2.883214+0 6.369674+3 2.886401+0 6.786667+3220023501 36 2.889491+0 7.182236+3 2.892962+0 7.609579+3 2.895861+0 7.947655+3220023501 37 2.899588+0 8.349737+3 2.902665+0 8.648261+3 2.906621+0 8.979665+3220023501 38 2.911181+0 9.277981+3 2.914399+0 9.428838+3 2.918624+0 9.546659+3220023501 39 2.922373+0 9.572215+3 2.925966+0 9.526321+3 2.929164+0 9.428371+3220023501 40 2.934753+0 9.134335+3 2.938541+0 8.853379+3 2.942665+0 8.481803+3220023501 41 2.945756+0 8.164727+3 2.949227+0 7.776042+3 2.952125+0 7.430081+3220023501 42 2.955852+0 6.964222+3 2.959369+0 6.510596+3 2.962886+0 6.050882+3220023501 43 2.966402+0 5.591993+3 2.969919+0 5.140186+3 2.974161+0 4.612324+3220023501 44 2.977831+0 4.176475+3 2.984864+0 3.409809+3 2.988710+0 3.033708+3220023501 45 2.994534+0 2.525988+3 3.002197+0 1.970621+3 3.014544+0 1.318591+3220023501 46 3.018631+0 1.158674+3 3.022701+0 1.022189+3 3.026756+0 9.060553+2220023501 47 3.030795+0 8.074084+2 3.034818+0 7.236477+2 3.038825+0 6.524586+2220023501 48 3.042816+0 5.918175+2 3.046792+0 5.399817+2 3.050753+0 4.954710+2220023501 49 3.054698+0 4.570422+2 3.062557+0 3.943707+2 3.070355+0 3.458661+2220023501 50 3.078092+0 3.073336+2 3.085768+0 2.759960+2 3.093384+0 2.500001+2220023501 51 3.100941+0 2.280843+2 3.108439+0 2.093650+2 3.115879+0 1.932033+2220023501 52 3.123260+0 1.791235+2 3.130583+0 1.667618+2 3.137850+0 1.558341+2220023501 53 3.145059+0 1.461145+2 3.159366+0 1.295474+2 3.162300+0 1.266067+2220023501 54 3.173449+0 1.160505+2 3.187311+0 1.048756+2 3.200958+0 9.549943+1220023501 55 3.214391+0 8.754347+1 3.227614+0 8.072641+1 3.240630+0 7.483477+1220023501 56 3.253444+0 6.970379+1 3.266056+0 6.520373+1 3.278472+0 6.123016+1220023501 57 3.302916+0 5.449172+1 3.326596+0 4.905678+1 3.349536+0 4.459836+1220023501 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