JENDL-4.0 Fr-000 0 0 0 0
8.700000+4 2.210840+2 -1 0 6 18700 1451 1
0.000000+0 0.000000+0 0 0 0 68700 1451 2
0.000000+0 1.000000+8 0 0 3 48700 1451 3
0.000000+0 0.000000+0 0 0 159 378700 1451 4
87-Fr- 0 LLNL EVAL-Jul97 D.E.Cullen, et al. 8700 1451 5
UCRL50400,Vol.6,Rev.5 DIST-MAY10 20100228 8700 1451 6
----JENDL-4.0 MATERIAL 8700 8700 1451 7
-----PHOTO-ATOMIC INTERACTION DATA 8700 1451 8
------ENDF-6 FORMAT 8700 1451 9
=================================================================8700 1451 10
The data were taken from EPDL97. 8700 1451 11
=================================================================8700 1451 12
The Livermore Evaluated Photon Data Library (EPDL97) in the 8700 1451 13
ENDF/B-VI format 8700 1451 14
=================================================================8700 1451 15
Contents 8700 1451 16
=================================================================8700 1451 17
MF/MT Description 8700 1451 18
=================================================================8700 1451 19
23/501 Total cross sections 8700 1451 20
23/502 Coherent scattering cross sections 8700 1451 21
23/504 Incoherent scattering cross sections 8700 1451 22
23/515 Pair production cross sections, Electron field 8700 1451 23
23/516 Pair production cross sections, Total 8700 1451 24
23/517 Pair production cross sections, Nuclear field 8700 1451 25
23/522 Total photoionization cross section 8700 1451 26
23/534 K (1S1/2) Photoionization subshell cross section 8700 1451 27
23/535 L1 (2S1/2) Photoionization subshell cross section 8700 1451 28
23/536 L2 (2P1/2) Photoionization subshell cross section 8700 1451 29
23/537 L3 (2P3/2) Photoionization subshell cross section 8700 1451 30
23/538 M1 (3S1/2) Photoionization subshell cross section 8700 1451 31
23/539 M2 (3P1/2) Photoionization subshell cross section 8700 1451 32
23/540 M3 (3P3/2) Photoionization subshell cross section 8700 1451 33
23/541 M4 (3D3/2) Photoionization subshell cross section 8700 1451 34
23/542 M5 (3D5/2) Photoionization subshell cross section 8700 1451 35
23/543 N1 (4S1/2) Photoionization subshell cross section 8700 1451 36
23/544 N2 (4P1/2) Photoionization subshell cross section 8700 1451 37
23/545 N3 (4P3/2) Photoionization subshell cross section 8700 1451 38
23/546 N4 (4D3/2) Photoionization subshell cross section 8700 1451 39
23/547 N5 (4D5/2) Photoionization subshell cross section 8700 1451 40
23/548 N6 (4F5/2) Photoionization subshell cross section 8700 1451 41
23/549 N7 (4F7/2) Photoionization subshell cross section 8700 1451 42
23/550 O1 (5S1/2) Photoionization subshell cross section 8700 1451 43
23/551 O2 (5P1/2) Photoionization subshell cross section 8700 1451 44
23/552 O3 (5P3/2) Photoionization subshell cross section 8700 1451 45
23/553 O4 (5D3/2) Photoionization subshell cross section 8700 1451 46
23/554 O5 (5D5/2) Photoionization subshell cross section 8700 1451 47
23/559 P1 (6S1/2) Photoionization subshell cross section 8700 1451 48
23/560 P2 (6P1/2) Photoionization subshell cross section 8700 1451 49
23/561 P3 (6P3/2) Photoionization subshell cross section 8700 1451 50
23/570 Q1 (7S1/2) Photoionization subshell cross section 8700 1451 51
=================================================================8700 1451 52
27/502 Coherent scattering form factors 8700 1451 53
27/504 Incoherent scattering functions 8700 1451 54
27/505 Imaginary anomalous scattering factor 8700 1451 55
27/506 Real anomalous scattering factor 8700 1451 56
=================================================================8700 1451 57
Warning 8700 1451 58
=================================================================8700 1451 59
MF/MT combinations used to define photoionization subshell cross8700 1451 60
sections (MF=23, MT=534-572) and coherent anomalous scattering 8700 1451 61
factors (MF=27, MT=505 AND 506) are newly defined MF/MT numbers 8700 1451 62
for ENDF/B-VI that did not exist in earlier versions of ENDF/B. 8700 1451 63
If you are not prepared to use this data you need merely delete 8700 1451 64
it and all of the remaining data will still be consistent and 8700 1451 65
equivalent to the types of data in earlier versions of ENDF/B. 8700 1451 66
However, this will limit the range of problems to which this 8700 1451 67
data can be applied (see: ref. 1 for details). 8700 1451 68
=================================================================8700 1451 69
Definition of new types of data 8700 1451 70
=================================================================8700 1451 71
1) The total photoionization cross section is equal to the sum 8700 1451 72
of the photoionization subshell cross sections. 8700 1451 73
8700 1451 74
For each subshell on the second line of a section the C1 and 8700 1451 75
C2 fields are defined as, 8700 1451 76
8700 1451 77
EPE = The photoionization edge energy (similar to Q-value) 8700 1451 78
EFL = The fluorescence yield (eV/photoionization) 8700 1451 79
8700 1451 80
2) The angular distribution of coherently scattered photons is, 8700 1451 81
8700 1451 82
S(E,MU) = 3*T/8*(1 + MU**2)*((FF(M)+F1(E))**2+(F2(E))**2) 8700 1451 83
8700 1451 84
S(E,MU) = Angular distributions (barns per unit cosine) 8700 1451 85
T = The Thomson cross section 8700 1451 86
MU = The cosine of the scattering angle 8700 1451 87
FF(M) = The atomic form factor 8700 1451 88
M = Momentum transfer = SIN(THETA/2)/LAMBDA/4*PI 8700 1451 89
F1(E) = The real anomalous scattering factor 8700 1451 90
F2(E) = The imaginary anomalous scattering factor 8700 1451 91
8700 1451 92
F1(E) and F2(E) are isotropic. 8700 1451 93
8700 1451 94
When F1(E) = F2(E) = 0 this reduces to the result obtained 8700 1451 95
using only form factors (the older ENDF/B convention). 8700 1451 96
=================================================================8700 1451 97
Differences between EPDL97 and the data base presented here 8700 1451 98
=================================================================8700 1451 99
1) Energy range - EPDL97 - 1 eV to 100 GeV 8700 1451 100
Here - 1 eV TO 100 GeV (previously 100 MeV) 8700 1451 101
2) Type of Data - EPDL97 - Photon interaction including 8700 1451 102
photoexcitation 8700 1451 103
Here - Photon interaction - ENDF/B-VI has 8700 1451 104
no provision for photoexcitation 8700 1451 105
3) Secondary E - EPDL97 - Average energy of each secondary 8700 1451 106
(photons, electrons, positrons) 8700 1451 107
HERE - No secondary energy data 8700 1451 108
4) Interpolation- EPDL97 - Cross sections are Log X vs. Log Y 8700 1451 109
interpolable - the total cross 8700 1451 110
section is not included 8700 1451 111
- Form factors and scattering functions 8700 1451 112
are Log X vs. Log y, except first 8700 1451 113
interval. 8700 1451 114
- Anomalous scattering factors linearly 8700 1451 115
interpolable (they can be negative) 8700 1451 116
Here - Up through ENDF/B-V photon interaction8700 1451 117
cross sections were Log X vs. Log Y. 8700 1451 118
- For the first two Mods. of ENDF/B-VI 8700 1451 119
in order to consistently define the 8700 1451 120
total cross sections at ALL energies 8700 1451 121
all cross sections were linearized. 8700 1451 122
This was NOT a good idea. 8700 1451 123
- Starting with Mod. 3, cross sections 8700 1451 124
are left in Log X vs. Log. Y form so 8700 1451 125
that they are IDENTICAL to what's in 8700 1451 126
EPDL97. 8700 1451 127
The total is defined ONLY at the 8700 1451 128
energies tabulated in any other cross 8700 1451 129
section. 8700 1451 130
WARNING - As a result the total cross section 8700 1451 131
MUST NOT be interpolated to define the8700 1451 132
total between tabulated energies. The 8700 1451 133
ONLY consist way to define the total 8700 1451 134
between tabulated energies is to 8700 1451 135
interpolate all of the partials and 8700 1451 136
add them up. 8700 1451 137
=================================================================8700 1451 138
References 8700 1451 139
=================================================================8700 1451 140
1) D.E. Cullen, M.H. Chen, J.H. Hubbell, S.T. Perkins, 8700 1451 141
E.F. Plechaty, J.A. Rathkopf and J.H. Scofield, Tables and 8700 1451 142
graphs of photon interaction cross sections from 10 eV to 100 8700 1451 143
GeV derived from the LLNL Evaluated Photon data library (EPDL), 8700 1451 144
UCRL-50400, Vol. 6, Rev. 4, Part A: Z = 1 to 50 and Part B: 8700 1451 145
Z = 51 to 100, Lawrence Livermore National Laboratory (1989) 8700 1451 146
8700 1451 147
2) D.E. Cullen, J.H. Hubbell and L.D. Kissel, EPDL97: the 8700 1451 148
Evaluated Photon Data Library, '97 Version, UCRL-50400, Vol. 6, 8700 1451 149
Rev. 5, Lawrence Livermore National Laboratory (1997) 8700 1451 150
8700 1451 151
These are the primary references to the contents of this library8700 1451 152
and they contain a complete list of references to the sources 8700 1451 153
of data used in this library, methods of evaluation, accuracy 8700 1451 154
of the data, etc. 8700 1451 155
=================================================================8700 1451 156
History 8700 1451 157
=================================================================8700 1451 158
Mod. 1 - October, 1989 - Initial release. 8700 1451 159
Mod. 2 - August, 1990 - Updated photoionization total and 8700 1451 160
subshell cross sections. 8700 1451 161
Mod. 3 - July, 1997 - Complete re-evaluation. 8700 1451 162
=================================================================8700 1451 163
1 451 200 18700 1451 164
23 501 983 18700 1451 165
23 502 455 18700 1451 166
23 504 40 18700 1451 167
23 515 34 18700 1451 168
23 516 54 18700 1451 169
23 517 41 18700 1451 170
23 522 462 18700 1451 171
23 534 18 18700 1451 172
23 535 22 18700 1451 173
23 536 22 18700 1451 174
23 537 22 18700 1451 175
23 538 24 18700 1451 176
23 539 26 18700 1451 177
23 540 26 18700 1451 178
23 541 29 18700 1451 179
23 542 28 18700 1451 180
23 543 27 18700 1451 181
23 544 30 18700 1451 182
23 545 30 18700 1451 183
23 546 38 18700 1451 184
23 547 38 18700 1451 185
23 548 59 18700 1451 186
23 549 60 18700 1451 187
23 550 31 18700 1451 188
23 551 36 18700 1451 189
23 552 38 18700 1451 190
23 553 57 18700 1451 191
23 554 57 18700 1451 192
23 559 36 18700 1451 193
23 560 42 18700 1451 194
23 561 44 18700 1451 195
23 570 39 18700 1451 196
27 502 49 18700 1451 197
27 504 50 18700 1451 198
27 505 194 18700 1451 199
27 506 116 18700 1451 200
0.000000+0 0.000000+0 0 0 0 08700 1 099999
0.000000+0 0.000000+0 0 0 0 08700 0 0 0
8.700000+4 2.210840+2 0 0 0 0870023501 1
0.000000+0 0.000000+0 0 0 1 2938870023501 2
2938 5 870023501 3
1.000000+0 2.079757+0 1.036679+0 2.757234+0 1.055244+0 3.194429+0870023501 4
1.072648+0 3.680016+0 1.088965+0 4.217329+0 1.104261+0 4.809751+0870023501 5
1.118602+0 5.460749+0 1.132047+0 6.173881+0 1.144651+0 6.952788+0870023501 6
1.156467+0 7.801200+0 1.167545+0 8.722933+0 1.177930+0 9.721884+0870023501 7
1.187667+0 1.080203+1 1.196795+0 1.196745+1 1.205352+0 1.322227+1870023501 8
1.213374+0 1.457075+1 1.220896+0 1.601721+1 1.227947+0 1.756606+1870023501 9
1.234557+0 1.922178+1 1.240754+0 2.098895+1 1.246564+0 2.287220+1870023501 10
1.252011+0 2.487628+1 1.257117+0 2.700599+1 1.258900+0 2.782773+1870023501 11
1.261904+0 2.926633+1 1.266392+0 3.166248+1 1.270600+0 3.419994+1870023501 12
1.274544+0 3.688450+1 1.278242+0 3.972223+1 1.281709+0 4.271937+1870023501 13
1.284959+0 4.588240+1 1.288007+0 4.921831+1 1.290863+0 5.273517+1870023501 14
1.293541+0 5.644270+1 1.298406+0 6.447997+1 1.302819+0 7.378140+1870023501 15
1.306681+0 8.424197+1 1.310060+0 9.598737+1 1.313016+0 1.090510+2870023501 16
1.315603+0 1.233386+2 1.317867+0 1.386324+2 1.319848+0 1.546257+2870023501 17
1.321581+0 1.709708+2 1.323097+0 1.873224+2 1.325585+0 2.188606+2870023501 18
1.329712+0 2.861873+2 1.334302+0 3.863259+2 1.336995+0 4.580588+2870023501 19
1.338637+0 5.062457+2 1.340278+0 5.574665+2 1.343561+0 6.671270+2870023501 20
1.343971+0 6.813239+2 1.346843+0 7.819284+2 1.347972+0 8.213489+2870023501 21
1.350126+0 8.947813+2 1.351255+0 9.316174+2 1.352332+0 9.652965+2870023501 22
1.353819+0 1.008827+3 1.355076+0 1.042361+3 1.356692+0 1.080315+3870023501 23
1.358128+0 1.108491+3 1.359801+0 1.133942+3 1.361718+0 1.152467+3870023501 24
1.363360+0 1.158772+3 1.363931+0 1.158845+3 1.365562+0 1.152989+3870023501 25
1.367175+0 1.138448+3 1.367965+0 1.128238+3 1.369529+0 1.102305+3870023501 26
1.371015+0 1.071015+3 1.373407+0 1.008646+3 1.374676+0 9.703738+2870023501 27
1.375746+0 9.358067+2 1.377158+0 8.875387+2 1.378257+0 8.482564+2870023501 28
1.379671+0 7.961974+2 1.381107+0 7.422111+2 1.382608+0 6.854102+2870023501 29
1.384595+0 6.108099+2 1.386237+0 5.507866+2 1.388083+0 4.859763+2870023501 30
1.389519+0 4.380924+2 1.393007+0 3.329030+2 1.394065+0 3.044051+2870023501 31
1.395075+0 2.787450+2 1.396085+0 2.545998+2 1.397521+0 2.228552+2870023501 32
1.399252+0 1.885597+2 1.401011+0 1.579836+2 1.402310+0 1.380041+2870023501 33
1.404020+0 1.148650+2 1.405703+0 9.531633+1 1.407360+0 7.890754+1870023501 34
1.408991+0 6.521908+1 1.411391+0 4.896203+1 1.415266+0 3.062816+1870023501 35
1.416775+0 2.560634+1 1.418259+0 2.159611+1 1.418993+0 1.991780+1870023501 36
1.419721+0 1.843265+1 1.420443+0 1.712402+1 1.421160+0 1.597661+1870023501 37
1.421871+0 1.497641+1 1.422576+0 1.411056+1 1.423276+0 1.336730+1870023501 38
1.423971+0 1.273585+1 1.468070+0 5.104477+1 1.470827+0 5.857125+1870023501 39
1.473411+0 6.705198+1 1.475833+0 7.655036+1 1.478104+0 8.712729+1870023501 40
1.480233+0 9.884154+1 1.482229+0 1.117469+2 1.484100+0 1.258876+2870023501 41
1.485855+0 1.412924+2 1.487500+0 1.579704+2 1.489041+0 1.759077+2870023501 42
1.490487+0 1.950656+2 1.493197+0 2.382824+2 1.495569+0 2.855908+2870023501 43
1.497644+0 3.358783+2 1.501048+0 4.404851+2 1.506466+0 6.798859+2870023501 44
1.509763+0 8.807038+2 1.512402+0 1.076566+3 1.514747+0 1.278755+3870023501 45
1.515892+0 1.387411+3 1.517753+0 1.577915+3 1.519614+0 1.785255+3870023501 46
1.523336+0 2.246302+3 1.523801+0 2.307776+3 1.527058+0 2.756384+3870023501 47
1.528337+0 2.939030+3 1.530780+0 3.291692+3 1.532670+0 3.563073+3870023501 48
1.534502+0 3.819779+3 1.536392+0 4.073085+3 1.538224+0 4.302511+3870023501 49
1.539852+0 4.489331+3 1.541357+0 4.644833+3 1.542179+0 4.721926+3870023501 50
1.544359+0 4.896931+3 1.546062+0 5.000968+3 1.548047+0 5.083234+3870023501 51
1.549826+0 5.119800+3 1.550901+0 5.124537+3 1.552559+0 5.106224+3870023501 52
1.554246+0 5.056272+3 1.554893+0 5.028965+3 1.557067+0 4.905764+3870023501 53
1.558552+0 4.795414+3 1.559554+0 4.710046+3 1.561021+0 4.570555+3870023501 54
1.562446+0 4.420373+3 1.564278+0 4.209275+3 1.565906+0 4.007962+3870023501 55
1.567477+0 3.804753+3 1.569861+0 3.485450+3 1.571722+0 3.232508+3870023501 56
1.573816+0 2.949539+3 1.575444+0 2.733747+3 1.579166+0 2.265860+3870023501 57
1.581667+0 1.978264+3 1.582888+0 1.846979+3 1.584900+0 1.643683+3870023501 58
1.585680+0 1.571093+3 1.589125+0 1.278087+3 1.595416+0 8.718881+2870023501 59
1.598936+0 7.076223+2 1.600676+0 6.403695+2 1.602402+0 5.815825+2870023501 60
1.604115+0 5.302504+2 1.605814+0 4.854415+2 1.607500+0 4.463091+2870023501 61
1.610846+0 3.818984+2 1.614139+0 3.322623+2 1.617381+0 2.934960+2870023501 62
1.620572+0 2.627138+2 1.623714+0 2.378266+2 1.626806+0 2.173398+2870023501 63
1.629850+0 2.001892+2 1.632847+0 1.856142+2 1.635796+0 1.730657+2870023501 64
1.641603+0 1.523959+2 1.647229+0 1.362166+2 1.652679+0 1.232118+2870023501 65
1.657958+0 1.125447+2 1.663073+0 1.036526+2 1.668028+0 9.614043+1870023501 66
1.672827+0 8.972029+1 1.677477+0 8.417723+1 1.687500+0 7.404812+1870023501 67
1.694932+0 6.780822+1 1.702851+0 6.209232+1 1.710274+0 5.744951+1870023501 68
1.717233+0 5.361947+1 1.723758+0 5.041583+1 1.735991+0 4.523233+1870023501 69
1.746695+0 4.140596+1 1.756061+0 3.849639+1 1.764256+0 3.623238+1870023501 70
1.778598+0 3.279072+1 1.789354+0 3.056685+1 1.805489+0 2.768761+1870023501 71
1.826107+0 2.463144+1 1.844042+0 2.242419+1 1.866460+0 2.012353+1870023501 72
1.888878+0 1.821127+1 1.914748+0 1.637224+1 1.942956+0 1.471063+1870023501 73
1.975865+0 1.311542+1 1.995300+0 1.232079+1 2.004073+0 1.198043+1870023501 74
2.040279+0 1.074782+1 2.067434+0 9.952441+0 2.108166+0 8.928589+0870023501 75
2.175344+0 7.547752+0 2.254682+0 6.278216+0 2.405721+0 4.311335+0870023501 76
2.448000+0 3.757063+0 2.471800+0 3.423973+0 2.493039+0 3.097316+0870023501 77
2.508969+0 2.823086+0 2.511900+0 2.764693+0 2.520917+0 2.592912+0870023501 78
2.529877+0 2.402512+0 2.536597+0 2.248804+0 2.541638+0 2.127726+0870023501 79
2.549198+0 1.938857+0 2.554869+0 1.794298+0 2.559905+0 1.666685+0870023501 80
2.575638+0 1.306261+0 2.581931+0 1.193962+0 2.583504+0 1.169925+0870023501 81
2.588224+0 1.109004+0 2.589798+0 1.092764+0 2.592158+0 1.072599+0870023501 82
2.594517+0 1.057862+0 2.596091+0 1.051301+0 2.598451+0 1.046796+0870023501 83
2.600811+0 1.049325+0 2.603957+0 1.065124+0 2.606317+0 1.087656+0870023501 84
2.607104+0 1.097446+0 2.613397+0 1.225023+0 2.615560+0 1.293063+0870023501 85
2.616593+0 1.330742+0 2.618141+0 1.394149+0 2.620336+0 1.499471+0870023501 86
2.622049+0 1.595474+0 2.623330+0 1.675994+0 2.625252+0 1.811838+0870023501 87
2.627578+0 2.002468+0 2.630649+0 2.303148+0 2.634029+0 2.705953+0870023501 88
2.644457+0 4.506679+0 2.648476+0 5.448957+0 2.652045+0 6.403307+0870023501 89
2.655311+0 7.368680+0 2.657947+0 8.206655+0 2.661029+0 9.244589+0870023501 90
2.663966+0 1.028094+1 2.667001+0 1.138658+1 2.669767+0 1.241195+1870023501 91
2.672534+0 1.344031+1 2.675708+0 1.460485+1 2.678659+0 1.565423+1870023501 92
2.680233+0 1.619434+1 2.682846+0 1.705254+1 2.685871+0 1.797207+1870023501 93
2.692037+0 1.953839+1 2.694568+0 2.004139+1 2.699244+0 2.073234+1870023501 94
2.702487+0 2.102270+1 2.704035+0 2.110623+1 2.706357+0 2.116564+1870023501 95
2.708679+0 2.114779+1 2.710880+0 2.106219+1 2.712531+0 2.095611+1870023501 96
2.716245+0 2.059539+1 2.717483+0 2.044042+1 2.723127+0 1.954624+1870023501 97
2.725546+0 1.908412+1 2.730384+0 1.805727+1 2.736835+0 1.655947+1870023501 98
2.738790+0 1.609332+1 2.744658+0 1.470501+1 2.760530+0 1.139252+1870023501 99
2.764607+0 1.069879+1 2.768683+0 1.007462+1 2.775350+0 9.196766+0870023501 100
2.782017+0 8.478347+0 2.787477+0 7.990856+0 2.795666+0 7.396082+0870023501 101
2.803855+0 6.926176+0 2.808685+0 6.692957+0 2.815352+0 6.411887+0870023501 102
2.822019+0 6.168039+0 2.828687+0 5.953034+0 2.835354+0 5.760764+0870023501 103
2.842021+0 5.586733+0 2.865044+0 5.085330+0 2.885189+0 4.730503+0870023501 104
2.920442+0 4.214128+0 2.973323+0 3.535129+0 2.999763+0 3.171498+0870023501 105
3.012984+0 2.963530+0 3.019594+0 2.850503+0 3.026204+0 2.731610+0870023501 106
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