Low-uncertainty measurement of the 239Pu(n,f) cross section at nTOF in a very broad energy range from 0.02 eV up to 10 MeV
Consiglio Nazionale delle Ricerche, Bari
Preliminary fission yields on figs
PhD's thesis submitted to Universidad Complutense de Madrid
September to November 2022
[Reference to experimental instruments] Description of facility
[Reference to experimental instruments] Description of fission ionization chamber
CERN nTOF facility.
proton beam with pulse width of 7 nsec
neutrons were produced in a gas-cooled Pb target and moderated by a 4 cm layer of borated water
8.541(14) mg of 239Pu (99.90259%) distributed into ten samples of PuO2, 20 mm diameter, electrodeposited (molecular plating) on Al backing (10 um), yielding a surface density of ~300 ug/cm2 for nine of the samples and 40 ug/cm2 for one of them with less mass.
99.90259(14)%
0.05818(4)%
0.02501(5)%
0.01288(7)%
Multi-section fission ionization chamber. Ar+(10%)CF4 gas with the ten PuO2 samples inside the cylindrical sealed chamber with 94 mm diameter and 110 mm in length.
Flight path of 185 m
Energy dependence of the neutron flux was derived from dedicated measurements using different detectors based on the standard reactions 6Li(n,t)4He, 10B(n,a)7Li and 235U(n,f), and there is no unique cross section ratio for compilation.
Normalized to the 239Pu(n,f) cross section integral from 9.0 to 20.0 eV of 1059(6) b*eV
Cross section without self-shielding correction. This and other corrections like Doppler Broadening and the resolution function are needed to reproduce the integral values reported in the reference paper.
*Adrian Sanchez-Caballero (2025-12-18):
Funding for this project was provided by the Euratom research and training program 2014-2018 under grant agreement No. 847594 (ARIEL). Additional support came from the European Commission through the H2020 Framework Programme under grant agreement No. 847552 (SANDA) and the project 36225/2/2021-1-RD-EUFRAT-GELINA (CHARPU), as well as from I+D+i grants PGC2018-096717-B-C21, PID2021-123100NB-I00, PID2022-142589OB-I00, and PDC2021-120828-I00 funded by MCIN/AEI/10.13039/501100011033. Furthermore, this research received partial funding from the National Science Centre in Poland (Grant No. UMO-2021/41/B/ST2/00326).
Proofread by A.Sanchez-Caballero (2025-12-22)
| Date | Work | Remark |
|---|---|---|
| 2025-12-19 | Data received at the data center |
On. Data received from A.Sanchez-Caballero.
|
| 2025-12-19 | Compiled at the data center |
On+ED
|
------------------------------------------------------------ THICKNESS EN-NRM-MIN EN-NRM-MAX MONIT MONIT-ERR ATOMS/B EV EV B*EV B*EV ------------------------------------------------------------ 6.851E-6 9.0 20.0 1059. 6. ------------------------------------------------------------
The cross section data was obtained by dividing by the total sample thickness of 6.851E-6 atoms/b.
| Heading | Lower limit (%) | Upper limit (%) | Correlation | Remark |
|---|---|---|---|---|
ERR-S
|
uncertainty due to counting statistics
|
|||
ERR-1
|
uncertainty due to neutron fluence shape
determination
|
------------------------------------------------------------ EN-MIN EN-MAX DATA ERR-S ERR-1 EV EV B B B ------------------------------------------------------------ 1.999705E-2 2.000623E-2 8.899274E+2 7.494541E+1 3.025753E+1 2.000623E-2 2.001541E-2 8.271915E+2 7.227205E+1 2.812451E+1 2.001541E-2 2.002480E-2 8.030077E+2 7.042843E+1 2.730226E+1 2.002480E-2 2.003398E-2 7.837169E+2 7.037986E+1 2.664638E+1 2.003398E-2 2.004316E-2 8.473080E+2 7.319627E+1 2.880847E+1 2.004316E-2 2.005255E-2 7.731929E+2 6.915648E+1 2.628856E+1 2.005255E-2 2.006173E-2 8.291060E+2 7.243933E+1 2.818960E+1 2.006173E-2 2.007091E-2 7.408382E+2 6.849051E+1 2.518850E+1 2.007091E-2 2.008009E-2 7.728513E+2 6.997067E+1 2.627694E+1 2.008009E-2 2.008948E-2 7.870110E+2 6.983593E+1 2.675837E+1 2.008948E-2 2.009865E-2 7.862475E+2 7.060711E+1 2.673242E+1 2.009865E-2 2.010783E-2 9.451968E+2 7.743354E+1 3.213669E+1 2.010783E-2 2.011701E-2 9.456284E+2 7.746889E+1 3.215136E+1 2.011701E-2 2.012661E-2 8.988629E+2 7.388607E+1 3.056134E+1 2.012661E-2 2.013579E-2 8.639297E+2 7.408136E+1 2.937361E+1 2.013579E-2 2.014497E-2 8.134810E+2 7.190224E+1 2.765836E+1 2.014497E-2 2.015436E-2 7.709025E+2 6.922909E+1 2.621069E+1 2.015436E-2 2.016354E-2 7.760639E+2 7.026153E+1 2.638617E+1 2.016354E-2 2.017272E-2 7.764173E+2 7.029352E+1 2.639819E+1 2.017272E-2 2.018211E-2 8.466703E+2 7.260138E+1 2.878679E+1 2.018211E-2 2.019149E-2 7.349528E+2 6.765789E+1 2.498839E+1 2.019149E-2 2.020067E-2 7.137646E+2 6.744441E+1 2.426799E+1 2.020067E-2 2.021006E-2 7.480971E+2 6.829161E+1 2.543530E+1 2.021006E-2 2.021945E-2 7.546817E+2 6.860743E+1 2.565918E+1 2.021945E-2 2.022863E-2 8.679138E+2 7.442300E+1 2.950907E+1 2.022863E-2 2.023802E-2 7.616177E+2 6.895362E+1 2.589500E+1 2.023802E-2 2.024720E-2 8.431603E+2 7.338769E+1 2.866745E+1 2.024720E-2 2.025679E-2 8.313260E+2 7.128562E+1 2.826508E+1 2.025679E-2 2.026597E-2 6.585308E+2 6.488697E+1 2.239005E+1 2.026597E-2 2.027515E-2 8.890996E+2 7.541244E+1 3.022939E+1 2.027515E-2 2.028475E-2 7.896257E+2 6.952266E+1 2.684727E+1 2.028475E-2 2.029393E-2 7.618767E+2 6.984112E+1 2.590381E+1 2.029393E-2 2.030332E-2 8.329677E+2 7.222746E+1 2.832090E+1 2.030332E-2 2.031250E-2 9.035539E+2 7.609297E+1 3.072083E+1 2.031250E-2 2.032209E-2 7.174909E+2 6.633206E+1 2.439469E+1 2.032209E-2 2.033148E-2 9.093828E+2 7.552013E+1 3.091901E+1 2.033148E-2 2.034066E-2 8.085510E+2 7.203145E+1 2.749073E+1 2.034066E-2 2.035026E-2 7.430491E+2 6.754992E+1 2.526367E+1 2.035026E-2 2.035944E-2 9.249115E+2 7.707595E+1 3.144699E+1 2.035944E-2 2.036883E-2 8.230897E+2 7.191368E+1 2.798505E+1 2.036883E-2 2.037821E-2 7.103207E+2 6.682135E+1 2.415090E+1 2.037821E-2 2.038781E-2 8.797698E+2 7.357005E+1 2.991217E+1 2.038781E-2 2.039699E-2 7.400073E+2 6.900604E+1 2.516025E+1 2.039699E-2 2.040638E-2 9.001441E+2 7.527383E+1 3.060490E+1 2.040638E-2 2.041598E-2 7.084848E+2 6.606655E+1 2.408848E+1 2.041598E-2 2.042536E-2 7.501937E+2 6.819943E+1 2.550659E+1 2.042536E-2 2.043454E-2 8.603324E+2 7.377289E+1 2.925130E+1 2.043454E-2 2.044393E-2 9.777367E+2 7.778455E+1 3.324305E+1 2.044393E-2 2.045353E-2 7.752310E+2 6.852139E+1 2.635785E+1 2.045353E-2 2.046292E-2 8.176020E+2 7.116312E+1 2.779847E+1 2.046292E-2 2.047230E-2 7.560092E+2 6.844586E+1 2.570431E+1 2.047230E-2 2.048190E-2 6.792683E+2 6.418482E+1 2.309512E+1 2.048190E-2 2.049129E-2 7.939258E+2 7.017379E+1 2.699348E+1 2.049129E-2 2.050068E-2 7.756734E+2 6.937834E+1 2.637290E+1 2.050068E-2 2.051007E-2 7.449876E+2 6.800775E+1 2.532958E+1 2.051007E-2 2.051966E-2 8.445751E+2 7.163592E+1 2.871555E+1 2.051966E-2 2.052905E-2 7.208214E+2 6.692659E+1 2.450793E+1 2.052905E-2 2.053844E-2 8.268371E+2 7.169587E+1 2.811246E+1 2.053844E-2 2.054804E-2 6.632087E+2 6.352387E+1 2.254910E+1 2.054804E-2 2.055742E-2 7.778210E+2 6.957043E+1 2.644591E+1 2.055742E-2 2.056681E-2 9.213607E+2 7.573539E+1 3.132627E+1 2.056681E-2 2.057620E-2 7.785316E+2 6.963398E+1 2.647007E+1 2.057620E-2 2.058580E-2 8.412021E+2 7.160788E+1 2.860087E+1 2.058580E-2 2.059519E-2 7.169101E+2 6.685221E+1 2.437494E+1 2.059519E-2 2.060478E-2 7.809652E+2 6.902822E+1 2.655282E+1 2.060478E-2 2.061438E-2 7.508083E+2 6.769811E+1 2.552748E+1 2.061438E-2 2.062377E-2 9.551261E+2 7.721737E+1 3.247429E+1 2.062377E-2 2.063316E-2 7.681961E+2 6.926591E+1 2.611867E+1 2.063316E-2 2.064254E-2 7.997874E+2 7.069189E+1 2.719277E+1 2.064254E-2 2.065235E-2 8.379328E+2 7.081824E+1 2.848971E+1 2.065235E-2 2.066174E-2 9.131059E+2 7.556918E+1 3.104560E+1 2.066174E-2 2.067113E-2 8.509510E+2 7.296844E+1 2.893233E+1 2.067113E-2 2.068093E-2 8.510797E+2 7.142103E+1 2.893671E+1 2.068093E-2 2.069032E-2 9.394205E+2 7.670336E+1 3.194030E+1 2.069032E-2 2.069971E-2 8.646591E+2 7.360467E+1 2.939841E+1 2.069971E-2 2.070951E-2 8.402526E+2 7.101431E+1 2.856859E+1 2.070951E-2 2.071890E-2 7.086746E+2 6.666650E+1 2.409494E+1 2.071890E-2 2.072850E-2 9.022761E+2 7.441848E+1 3.067739E+1 2.072850E-2 2.073789E-2 8.599771E+2 7.347280E+1 2.923922E+1 2.073789E-2 2.074769E-2 8.297763E+2 7.063525E+1 2.821239E+1 2.074769E-2 2.075708E-2 9.236033E+2 7.617752E+1 3.140251E+1 2.075708E-2 2.076668E-2 7.932520E+2 6.984194E+1 2.697057E+1 2.076668E-2 2.077627E-2 8.551395E+2 7.253198E+1 2.907474E+1 2.077627E-2 2.078587E-2 6.216474E+2 6.185623E+1 2.113601E+1 2.078587E-2 2.079547E-2 8.928763E+2 7.414934E+1 3.035779E+1 2.079547E-2 2.080486E-2 1.007597E+3 7.965753E+1 3.425829E+1 2.080486E-2 2.081466E-2 8.022938E+2 6.956770E+1 2.727799E+1 2.081466E-2 2.082405E-2 8.383378E+2 7.269310E+1 2.850348E+1 2.082405E-2 2.083365E-2 7.896416E+2 6.979512E+1 2.684781E+1 2.083365E-2 2.084345E-2 7.188350E+2 6.589550E+1 2.444039E+1 2.084345E-2 2.085305E-2 8.706498E+2 7.332194E+1 2.960209E+1 2.085305E-2 2.086244E-2 8.588283E+2 7.364392E+1 2.920016E+1 2.086244E-2 2.087203E-2 9.208862E+2 7.544194E+1 3.131013E+1 2.087203E-2 2.088184E-2 8.654014E+2 7.236850E+1 2.942365E+1 2.088184E-2 2.089144E-2 9.031839E+2 7.474803E+1 3.070825E+1 2.089144E-2 2.090103E-2 7.791791E+2 6.833853E+1 2.649209E+1 2.090103E-2 2.091063E-2 7.391464E+2 6.637731E+1 2.513098E+1 2.091063E-2 2.092023E-2 8.527940E+2 7.131422E+1 2.899500E+1 2.092023E-2 2.092982E-2 7.815894E+2 6.828778E+1 2.657404E+1 2.092982E-2 2.093963E-2 8.062091E+2 6.862908E+1 2.741111E+1 2.093963E-2 2.094922E-2 8.838357E+2 7.265085E+1 3.005042E+1 2.094922E-2 2.095882E-2 8.125455E+2 6.967520E+1 2.762655E+1 2.095882E-2 2.096842E-2 7.830310E+2 6.841373E+1 2.662305E+1 2.096842E-2 2.097822E-2 8.837827E+2 7.192122E+1 3.004861E+1 2.097822E-2 2.098782E-2 8.734987E+2 7.229127E+1 2.969896E+1 2.098782E-2 2.099742E-2 7.242581E+2 6.584165E+1 2.462478E+1 2.099742E-2 2.100722E-2 7.970903E+2 6.834993E+1 2.710107E+1 2.100722E-2 2.101682E-2 8.926793E+2 7.313114E+1 3.035110E+1 2.101682E-2 2.102642E-2 8.391422E+2 7.092046E+1 2.853083E+1 2.102642E-2 2.103601E-2 8.095422E+2 6.967430E+1 2.752444E+1 2.103601E-2 2.104603E-2 7.129293E+2 6.402294E+1 2.423960E+1 2.104603E-2 2.105562E-2 5.942179E+2 5.972114E+1 2.020341E+1 2.105562E-2 2.106522E-2 7.926517E+2 6.899147E+1 2.695016E+1 2.106522E-2 2.107503E-2 8.702222E+2 7.153182E+1 2.958755E+1 2.107503E-2 2.108462E-2 7.332772E+2 6.638780E+1 2.493143E+1 2.108462E-2 2.109443E-2 7.533176E+2 6.658450E+1 2.561280E+1 2.109443E-2 2.110423E-2 8.302123E+2 6.991649E+1 2.822722E+1 2.110423E-2 2.111383E-2 8.005000E+2 6.941215E+1 2.721700E+1 2.111383E-2 2.112364E-2 8.250823E+2 6.973218E+1 2.805280E+1 2.112364E-2 2.113323E-2 7.229195E+2 6.599322E+1 2.457926E+1 2.113323E-2 2.114304E-2 6.606722E+2 6.242766E+1 2.246286E+1 2.114304E-2 2.115284E-2 9.147473E+2 7.347427E+1 3.110141E+1 2.115284E-2 2.116244E-2 8.928333E+2 7.339044E+1 3.035633E+1 2.116244E-2 2.117225E-2 8.447024E+2 7.063757E+1 2.871988E+1 2.117225E-2 2.118205E-2 7.800865E+2 6.789782E+1 2.652294E+1 2.118205E-2 2.119165E-2 7.370002E+2 6.672486E+1 2.505801E+1 2.119165E-2 2.120145E-2 7.985467E+2 6.872796E+1 2.715059E+1 2.120145E-2 2.121126E-2 7.870803E+2 6.824852E+1 2.676073E+1 2.121126E-2 2.122107E-2 7.163966E+2 6.512697E+1 2.435749E+1 2.122107E-2 2.123087E-2 8.648120E+2 7.157235E+1 2.940361E+1 2.123087E-2 2.124068E-2 1.001512E+3 7.703938E+1 3.405141E+1 2.124068E-2 2.125048E-2 7.411053E+2 6.628647E+1 2.519758E+1 2.125048E-2 2.126008E-2 7.636225E+2 6.802890E+1 2.596317E+1 2.126008E-2 2.127009E-2 6.914679E+2 6.338676E+1 2.350991E+1 2.127009E-2 2.127990E-2 9.202430E+2 7.391569E+1 3.128826E+1 2.127990E-2 2.128949E-2 9.042637E+2 7.408017E+1 3.074497E+1 2.128949E-2 2.129930E-2 8.022329E+2 6.904521E+1 2.727592E+1 2.129930E-2 2.130931E-2 7.975280E+2 6.813742E+1 2.711595E+1 2.130931E-2 2.131891E-2 8.629725E+2 7.241905E+1 2.934107E+1 2.131891E-2 2.132872E-2 1.130628E+3 8.202439E+1 3.844136E+1 2.132872E-2 2.133873E-2 8.277763E+2 6.946544E+1 2.814439E+1 2.133873E-2 2.134854E-2 7.207009E+2 6.551826E+1 2.450383E+1 2.134854E-2 2.135834E-2 7.984982E+2 6.897974E+1 2.714894E+1 2.135834E-2 2.136836E-2 8.522758E+2 7.053484E+1 2.897738E+1 2.136836E-2 2.137795E-2 9.445864E+2 7.587100E+1 3.211594E+1 2.137795E-2 2.138776E-2 6.826850E+2 6.284625E+1 2.321129E+1 2.138776E-2 2.139756E-2 8.110595E+2 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9.813112E+6 9.817630E+6 1.265388E+0 3.267218E-1 5.749513E-2 9.817630E+6 9.822151E+6 1.940262E+0 4.045726E-1 8.815952E-2 9.822151E+6 9.826674E+6 1.771544E+0 3.865825E-1 8.049376E-2 9.826674E+6 9.831198E+6 1.940262E+0 4.045727E-1 8.816015E-2 9.831198E+6 9.835725E+6 2.446418E+0 4.542884E-1 1.111589E-1 9.835725E+6 9.840254E+6 2.699496E+0 4.772079E-1 1.226585E-1 9.840254E+6 9.844785E+6 2.277700E+0 4.383435E-1 1.034935E-1 9.844785E+6 9.849318E+6 3.205652E+0 5.200254E-1 1.456580E-1 9.849318E+6 9.853853E+6 2.024622E+0 4.132743E-1 9.199486E-2 9.853853E+6 9.858390E+6 1.940263E+0 4.045728E-1 8.816205E-2 9.858390E+6 9.862930E+6 2.362060E+0 4.463873E-1 1.073281E-1 9.862930E+6 9.867471E+6 1.940263E+0 4.045729E-1 8.816269E-2 9.867471E+6 9.872015E+6 1.687186E+0 3.772662E-1 7.666348E-2 9.872015E+6 9.876560E+6 2.530779E+0 4.620548E-1 1.149956E-1 9.876560E+6 9.881108E+6 2.446419E+0 4.542887E-1 1.111629E-1 9.881108E+6 9.885658E+6 1.771545E+0 3.865829E-1 8.049753E-2 9.885658E+6 9.890210E+6 2.530779E+0 4.620549E-1 1.149969E-1 9.890210E+6 9.894764E+6 1.602827E+0 3.677137E-1 7.283162E-2 9.894764E+6 9.899320E+6 2.024624E+0 4.132745E-1 9.199817E-2 9.899320E+6 9.903878E+6 2.024624E+0 4.132746E-1 9.199850E-2 9.903878E+6 9.908438E+6 1.855905E+0 3.956803E-1 8.433227E-2 9.908438E+6 9.913000E+6 2.615139E+0 4.696929E-1 1.188323E-1 9.913000E+6 9.917565E+6 2.446421E+0 4.542889E-1 1.111661E-1 9.917565E+6 9.922131E+6 2.277702E+0 4.383440E-1 1.034998E-1 9.922131E+6 9.926700E+6 1.771546E+0 3.865831E-1 8.050015E-2 9.926700E+6 9.931271E+6 2.024624E+0 4.132747E-1 9.200050E-2 9.931271E+6 9.935844E+6 3.205656E+0 5.200260E-1 1.456680E-1 9.935844E+6 9.940419E+6 2.108984E+0 4.217968E-1 9.583455E-2 9.940419E+6 9.944996E+6 2.530781E+0 4.620553E-1 1.150019E-1 9.944996E+6 9.949575E+6 2.108984E+0 4.217969E-1 9.583525E-2 9.949575E+6 9.954156E+6 2.362063E+0 4.463879E-1 1.073359E-1 9.954156E+6 9.958740E+6 2.024625E+0 4.132749E-1 9.200251E-2 9.958740E+6 9.963325E+6 2.530782E+0 4.620554E-1 1.150036E-1 9.963325E+6 9.967913E+6 2.530782E+0 4.620555E-1 1.150040E-1 9.967913E+6 9.972503E+6 2.615142E+0 4.696933E-1 1.188379E-1 9.972503E+6 9.977094E+6 2.108985E+0 4.217970E-1 9.583734E-2 9.977094E+6 9.981688E+6 2.277704E+0 4.383444E-1 1.035047E-1 9.981688E+6 9.986284E+6 2.108986E+0 4.217971E-1 9.583804E-2 9.986284E+6 9.990883E+6 1.771548E+0 3.865835E-1 8.050424E-2 9.990883E+6 9.995483E+6 2.783861E+0 4.846080E-1 1.265071E-1 9.995483E+6 1.000009E+7 2.027848E+0 4.139327E-1 9.215191E-2 ------------------------------------------------------------
The cross section data was obtained by dividing by the total sample thickness of 6.851E-6 atoms/b.
Averaging of the high resolution dataset to 120 bpd.
| Heading | Lower limit (%) | Upper limit (%) | Correlation | Remark |
|---|---|---|---|---|
ERR-S
|
uncertainty due to counting statistics
|
|||
ERR-1
|
uncertainty due to neutron fluence shape
determination
|
High resolution (~5k bpd) dataset
------------------------------------------------------------ EN-MIN EN-MAX DATA ERR-S ERR-1 EV EV B B B ------------------------------------------------------------ 1.999705E-2 2.037139E-2 8.118079E+2 1.126012E+1 2.760147E+1 2.037139E-2 2.075273E-2 8.121630E+2 1.116992E+1 2.761354E+1 2.075273E-2 2.114122E-2 8.087599E+2 1.100144E+1 2.749784E+1 2.114122E-2 2.153697E-2 8.218491E+2 1.093295E+1 2.794287E+1 2.153697E-2 2.194014E-2 8.080181E+2 1.068173E+1 2.747262E+1 2.194014E-2 2.235085E-2 8.122565E+2 1.050715E+1 2.761672E+1 2.235085E-2 2.276925E-2 7.622324E+2 1.000457E+1 2.591590E+1 2.276925E-2 2.319548E-2 7.837232E+2 1.004432E+1 2.664659E+1 2.319548E-2 2.362969E-2 7.789855E+2 9.844996E+0 2.648551E+1 2.362969E-2 2.407203E-2 7.655810E+2 9.555350E+0 2.602975E+1 2.407203E-2 2.452264E-2 7.499022E+2 9.316631E+0 2.549667E+1 2.452264E-2 2.498170E-2 7.454998E+2 9.191945E+0 2.533580E+1 2.498170E-2 2.544935E-2 7.459773E+2 9.050143E+0 2.514072E+1 2.544935E-2 2.592575E-2 7.453554E+2 8.927457E+0 2.490466E+1 2.592575E-2 2.641107E-2 7.491227E+2 8.848315E+0 2.481032E+1 2.641107E-2 2.690547E-2 7.371704E+2 8.667408E+0 2.419370E+1 2.690547E-2 2.740913E-2 7.222828E+2 8.423472E+0 2.348473E+1 2.740913E-2 2.792222E-2 7.220985E+2 8.319734E+0 2.325431E+1 2.792222E-2 2.844491E-2 7.127811E+2 8.160360E+0 2.272858E+1 2.844491E-2 2.897739E-2 6.918292E+2 7.918557E+0 2.183734E+1 2.897739E-2 2.951983E-2 6.988499E+2 7.807699E+0 2.182931E+1 2.951983E-2 3.007243E-2 6.941640E+2 7.657519E+0 2.145058E+1 3.007243E-2 3.063538E-2 6.823283E+2 7.489235E+0 2.085217E+1 3.063538E-2 3.120886E-2 6.946610E+2 7.466338E+0 2.098775E+1 3.120886E-2 3.179308E-2 6.697298E+2 7.248189E+0 1.999750E+1 3.179308E-2 3.238823E-2 6.731274E+2 7.184877E+0 1.985628E+1 3.238823E-2 3.299452E-2 6.698338E+2 7.075229E+0 1.951312E+1 3.299452E-2 3.361217E-2 6.546647E+2 6.898401E+0 1.882629E+1 3.361217E-2 3.424137E-2 6.658471E+2 6.885949E+0 1.889409E+1 3.424137E-2 3.488236E-2 6.512712E+2 6.734112E+0 1.822762E+1 3.488236E-2 3.553534E-2 6.524834E+2 6.649058E+0 1.800346E+1 3.553534E-2 3.620055E-2 6.532728E+2 6.574081E+0 1.776201E+1 3.620055E-2 3.687821E-2 6.428872E+2 6.405154E+0 1.721574E+1 3.687821E-2 3.756856E-2 6.364626E+2 6.320595E+0 1.677754E+1 3.756856E-2 3.827182E-2 6.326539E+2 6.238209E+0 1.644900E+1 3.827182E-2 3.898826E-2 6.335268E+2 6.160557E+0 1.647170E+1 3.898826E-2 3.971810E-2 6.345923E+2 6.118765E+0 1.649940E+1 3.971810E-2 4.046161E-2 6.135116E+2 5.891562E+0 1.595130E+1 4.046161E-2 4.121903E-2 6.153158E+2 5.824879E+0 1.599821E+1 4.121903E-2 4.199064E-2 6.056510E+2 5.726449E+0 1.574693E+1 4.199064E-2 4.277668E-2 6.122369E+2 5.717635E+0 1.591816E+1 4.277668E-2 4.357745E-2 6.079516E+2 5.639832E+0 1.580674E+1 4.357745E-2 4.439320E-2 5.963654E+2 5.507113E+0 1.550550E+1 4.439320E-2 4.522422E-2 5.908657E+2 5.414132E+0 1.536251E+1 4.522422E-2 4.607080E-2 5.834718E+2 5.316727E+0 1.517027E+1 4.607080E-2 4.693323E-2 5.834953E+2 5.257698E+0 1.517088E+1 4.693323E-2 4.781180E-2 5.840491E+2 5.209251E+0 1.518528E+1 4.781180E-2 4.870682E-2 5.653261E+2 5.038423E+0 1.469848E+1 4.870682E-2 4.961859E-2 5.642401E+2 4.983524E+0 1.467024E+1 4.961859E-2 5.054743E-2 5.650749E+2 4.943445E+0 1.469195E+1 5.054743E-2 5.149366E-2 5.629467E+2 4.887132E+0 1.463661E+1 5.149366E-2 5.245760E-2 5.430711E+2 4.731828E+0 1.411985E+1 5.245760E-2 5.343958E-2 5.602728E+2 4.760446E+0 1.456709E+1 5.343958E-2 5.443995E-2 5.431490E+2 4.672701E+0 1.412187E+1 5.443995E-2 5.545904E-2 5.444934E+2 4.638152E+0 1.415683E+1 5.545904E-2 5.649721E-2 5.466168E+2 4.600333E+0 1.421204E+1 5.649721E-2 5.755482E-2 5.511346E+2 4.589676E+0 1.432950E+1 5.755482E-2 5.863222E-2 5.345314E+2 4.470598E+0 1.386953E+1 5.863222E-2 5.972979E-2 5.314687E+2 4.407351E+0 1.367673E+1 5.972979E-2 6.084791E-2 5.263499E+2 4.338235E+0 1.343067E+1 6.084791E-2 6.198696E-2 5.181641E+2 4.262400E+0 1.310713E+1 6.198696E-2 6.314733E-2 5.233878E+2 4.251480E+0 1.312127E+1 6.314733E-2 6.432942E-2 5.167744E+2 4.197512E+0 1.283680E+1 6.432942E-2 6.553365E-2 5.168289E+2 4.160717E+0 1.271724E+1 6.553365E-2 6.676041E-2 5.138579E+2 4.117557E+0 1.252166E+1 6.676041E-2 6.801014E-2 5.107747E+2 4.078173E+0 1.232252E+1 6.801014E-2 6.928326E-2 5.051304E+2 4.030718E+0 1.206141E+1 6.928326E-2 7.058021E-2 5.071715E+2 3.997010E+0 1.198235E+1 7.058021E-2 7.190145E-2 5.084759E+2 3.963208E+0 1.188265E+1 7.190145E-2 7.324741E-2 5.038123E+2 3.929309E+0 1.164192E+1 7.324741E-2 7.461858E-2 5.017185E+2 3.899348E+0 1.145989E+1 7.461858E-2 7.601541E-2 4.946362E+2 3.838407E+0 1.116389E+1 7.601541E-2 7.743838E-2 4.958063E+2 3.812283E+0 1.105323E+1 7.743838E-2 7.888800E-2 4.951705E+2 3.780429E+0 1.089960E+1 7.888800E-2 8.036475E-2 4.919535E+2 3.750315E+0 1.068765E+1 8.036475E-2 8.186915E-2 4.909212E+2 3.722956E+0 1.052174E+1 8.186915E-2 8.340170E-2 4.952265E+2 3.709539E+0 1.046656E+1 8.340170E-2 8.496295E-2 4.835721E+2 3.637509E+0 1.007357E+1 8.496295E-2 8.655342E-2 4.839039E+2 3.620036E+0 9.930958E+0 8.655342E-2 8.817367E-2 4.883966E+2 3.617096E+0 9.869423E+0 8.817367E-2 8.982424E-2 4.848727E+2 3.585650E+0 9.697454E+0 8.982424E-2 9.150572E-2 4.883441E+2 3.579499E+0 9.766883E+0 9.150572E-2 9.321867E-2 4.788008E+2 3.518998E+0 9.576017E+0 9.321867E-2 9.496368E-2 4.819221E+2 3.514302E+0 9.638441E+0 9.496368E-2 9.674136E-2 4.790168E+2 3.472789E+0 9.580337E+0 9.674136E-2 9.855232E-2 4.856885E+2 3.476469E+0 9.713771E+0 9.855232E-2 1.003972E-1 4.767184E+2 3.430458E+0 9.534368E+0 1.003972E-1 1.022766E-1 4.750903E+2 3.405658E+0 9.501805E+0 1.022766E-1 1.041912E-1 4.737127E+2 3.363921E+0 9.474255E+0 1.041912E-1 1.061416E-1 4.760994E+2 3.365008E+0 9.521989E+0 1.061416E-1 1.081285E-1 4.784566E+2 3.351441E+0 9.569131E+0 1.081285E-1 1.101526E-1 4.739149E+2 3.310333E+0 9.478298E+0 1.101526E-1 1.122146E-1 4.801415E+2 3.317746E+0 9.602831E+0 1.122146E-1 1.143152E-1 4.817009E+2 3.304942E+0 9.634018E+0 1.143152E-1 1.164552E-1 4.879423E+2 3.309324E+0 9.758846E+0 1.164552E-1 1.186352E-1 4.818970E+2 3.271006E+0 9.637940E+0 1.186352E-1 1.208560E-1 4.873316E+2 3.268495E+0 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