FLUKA simulations for the X17 test measurement

Target setup

target setup matrix
shape cylinder
material stainless steel (AISI316LN) Aluminum ERGAL (5.85% Zn, 2.3% Mg, 1.4% Cu, 90.45% Al)
thickness 0.5 and 1.0 mm 0.8 and 1.4 mm 0.8 and 1.4 mm
diameter ⌀ 1 and 3 inches
length 30 cm
gas pressure (He-3 and O-16) no-gas, 1 atm, 30 atm and 300 atm
scoring position plane at 10 cm from beam axis

setup-1in.png
Setup for the 1-inch target
setup-3in.png
Setup for the 3-inch target

Neutron beam

A gaussian-like incident neutron beam shape has been assumed with FWHM of 2.5 cm.

plot beam.png
Beam & target geometry

The neutron spectrum in EAR2 has been sampled into energy decades as in the following plots. Typical proton pulses of 7x1012 have been considered. The neutron flux will be update as soon as the data from the commissioning of the new target station for EAR2 will be available. Note that neutrons with energies below 1 eV and above 100 MeV have been neglected in the actual simulation. Hence, the total neutron flux/cm2/ppulse reported here is lower than the typical neutron flux in EAR2 (the total number of neutrons/ppulse in EAR2 with energies from 1 meV and 100 MeV is: 2.263e+07).

plot flux.png
Neutron flux in EAR2
plot isoflux.png
Neutron flux in EAR2 in isolethargic units

In this table, the effective number of neutrons/energy decade and the associated average neutron energy are reported. The analytical value of the average neutron energy in the case of a 1/E energy dependence of the flux is ⟨En⟩ = Eup*0.391

Elow[MeV] Eup[MeV] #n ⟨En⟩ [MeV]
1.0e-06 1.0e-05 9.96e+05 4.040e-06
1.0e-05 1.0e-04 1.12e+06 4.063e-05
1.0e-04 1.0e-03 1.23e+06 4.082e-04
1.0e-03 1.0e-02 1.47e+06 4.157e-03
1.0e-02 1.0e-01 2.03e+06 3.982e-02
1.0e-01 1.0e+00 5.93e+06 5.011e-01
1.0e+00 1.0e+01 4.61e+06 2.293e+00
1.0e+01 1.0e+02 1.43e+06 4.421e+01

He-3 and O-16 gas

The FLUKA simulation code adopts He-3 cross sections data from the evaluated ENDF/B-7.0 data file. This file includes a neutron capture cross section which is strongly underestimated in the fast region (see plot). For this reason, a set of simulations with O-16 gas in place of of He-3 have been performed. In fact, the capture cross section of O-16, in its more updated data files such as ENDF/B-8.0, is very similar in shape and magnitude capture cross section of He-3. FLUKA includes the ENDF/B-8.0 data for O-16. Even though the spectrum of the capture gamma-ray is very different for these two gases, the number of gammas emitted by the O-16 gas can be assumed to be very similar to that of the He-3 gas.

plot ng.png
Neutron capture cross section on He-3 in different data libraries. The cross section of O-16 from ENDF/B-8.0 is shown for comparison.

Stainless steel

no-gas, ⌀ 1 inch, 0.5 mm thickness

Elow[MeV] ⟨E⟩[MeV] Eup[MeV] time [μs] primaries [n] n/cm2 ⟨En⟩ [MeV] p/cm2 ⟨Ep⟩ [MeV] γ/cm2 ⟨Eγ⟩ [MeV] e-/cm2 ⟨Ee-⟩ [MeV] e+e-/cm2 ⟨Ee+e-⟩ [MeV] e+e-(gen)/cm2 ⟨Ee+e-(gen)⟩ [MeV]
1.0e+01 4.42e+01 1.0e+02 0.217 1.426e+06 1220.6 1.37e+01 48.231 1.38e+01 1065.452 1.97e+00 12.812 1.47e+00 14.130 1.53e+00 1345.134 1.11e+00
1.0e+00 2.29e+00 1.0e+01 0.955 4.595e+06 3840.3 1.94e+00 0.000 0.00e+00 1130.901 9.88e-01 8.202 5.66e-01 8.202 5.82e-01 785.094 4.21e-01
1.0e-01 5.01e-01 1.0e+00 2.041 5.838e+06 4939.1 4.90e-01 0.000 0.00e+00 42.008 1.47e+00 0.095 1.79e+00 0.095 1.52e+00 49.582 1.14e+00
1.0e-02 3.98e-02 1.0e-01 7.243 2.001e+06 1929.4 3.77e-02 0.000 0.00e+00 10.686 3.19e+00 0.128 2.72e+00 0.179 3.31e+00 14.538 1.92e+00
1.0e-03 4.16e-03 1.0e-02 22.403 1.454e+06 1940.8 4.05e-03 0.000 0.00e+00 6.518 3.77e+00 0.034 2.76e+00 0.034 2.63e+00 8.774 1.61e+00
1.0e-04 4.08e-04 1.0e-03 71.537 1.221e+06 1612.4 3.83e-04 0.000 0.00e+00 34.984 2.82e+00 0.556 1.93e+00 0.674 2.24e+00 51.564 1.69e+00
1.0e-05 4.06e-05 1.0e-04 226.775 1.110e+06 1239.7 4.15e-05 0.000 0.00e+00 20.509 3.45e+00 0.302 2.97e+00 0.340 2.88e+00 38.747 1.69e+00
1.0e-06 4.04e-06 1.0e-05 718.899 9.854e+05 1085.4 4.38e-06 0.000 0.00e+00 56.281 3.56e+00 0.820 2.46e+00 1.010 2.50e+00 81.264 1.64e+00
Total 1.863e+07 17807.6 - 48.231 - 2367.339 - 22.949 - 24.665 - 2374.698 -

no-gas, ⌀ 3 inch, 1.0 mm thickness

Elow[MeV] ⟨E⟩[MeV] Eup[MeV] time [μs] primaries [n] n/cm2 ⟨En⟩ [MeV] p/cm2 ⟨Ep⟩ [MeV] γ/cm2 ⟨Eγ⟩ [MeV] e-/cm2 ⟨Ee-⟩ [MeV] e+e-/cm2 ⟨Ee+e-⟩ [MeV] e+e-(gen)/cm2 ⟨Ee+e-(gen)⟩ [MeV]
1.0e+01 4.42e+01 1.0e+02 0.217 1.426e+06 777.5 1.57e+01 4.600 1.28e+01 598.718 1.94e+00 6.058 1.76e+00 6.719 1.76e+00 2871.995 1.11e+00
1.0e+00 2.29e+00 1.0e+01 0.955 4.595e+06 3117.8 1.97e+00 0.000 0.00e+00 827.336 9.67e-01 2.950 5.79e-01 2.950 5.88e-01 2185.549 4.96e-01
1.0e-01 5.01e-01 1.0e+00 2.041 5.838e+06 4217.1 4.90e-01 0.000 0.00e+00 34.993 1.48e+00 0.207 2.28e+00 0.207 2.12e+00 60.895 1.19e+00
1.0e-02 3.98e-02 1.0e-01 7.243 2.001e+06 2307.8 3.76e-02 0.000 0.00e+00 14.512 3.18e+00 0.255 2.58e+00 0.255 2.61e+00 126.227 1.31e+00
1.0e-03 4.16e-03 1.0e-02 22.403 1.454e+06 3600.0 4.03e-03 0.000 0.00e+00 14.598 3.58e+00 0.233 2.78e+00 0.247 2.63e+00 97.208 2.18e+00
1.0e-04 4.08e-04 1.0e-03 71.537 1.221e+06 3040.2 3.78e-04 0.000 0.00e+00 98.118 2.77e+00 1.037 2.14e+00 1.213 2.19e+00 617.760 1.49e+00
1.0e-05 4.06e-05 1.0e-04 226.775 1.110e+06 1893.7 4.13e-05 0.000 0.00e+00 42.479 3.38e+00 0.830 2.89e+00 0.971 2.98e+00 296.648 1.75e+00
1.0e-06 4.04e-06 1.0e-05 718.899 9.854e+05 1684.5 4.35e-06 0.000 0.00e+00 117.265 3.43e+00 1.927 3.05e+00 2.432 3.12e+00 866.661 1.71e+00
Total 1.863e+07 20638.7 - 4.600 - 1748.019 - 13.496 - 14.994 - 7122.943 -

Aluminum

no-gas, ⌀ 1 inch, 0.8 mm thickness

Elow[MeV] ⟨E⟩[MeV] Eup[MeV] time [μs] primaries [n] n/cm2 ⟨En⟩ [MeV] p/cm2 ⟨Ep⟩ [MeV] γ/cm2 ⟨Eγ⟩ [MeV] e-/cm2 ⟨Ee-⟩ [MeV] e+e-/cm2 ⟨Ee+e-⟩ [MeV] e+e-(gen)/cm2 ⟨Ee+e-(gen)⟩ [MeV]
1.0e+01 4.42e+01 1.0e+02 0.217 1.426e+06 1307.7 1.85e+01 96.886 1.42e+01 918.743 2.23e+00 11.415 1.25e+00 11.883 1.32e+00 707.269 1.00e+00
1.0e+00 2.29e+00 1.0e+01 0.955 4.595e+06 6885.5 2.11e+00 0.000 0.00e+00 637.095 1.08e+00 5.425 5.09e-01 5.425 5.19e-01 348.944 4.53e-01
1.0e-01 5.01e-01 1.0e+00 2.041 5.838e+06 7897.5 4.79e-01 0.000 0.00e+00 0.268 4.98e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00
1.0e-02 3.98e-02 1.0e-01 7.243 2.001e+06 3171.4 3.62e-02 0.000 0.00e+00 1.330 3.13e+00 0.000 0.00e+00 0.000 0.00e+00 0.600 1.72e+00
1.0e-03 4.16e-03 1.0e-02 22.403 1.454e+06 1535.1 3.93e-03 0.000 0.00e+00 1.352 3.41e+00 0.038 5.66e+00 0.038 6.05e+00 0.873 7.89e-01
1.0e-04 4.08e-04 1.0e-03 71.537 1.221e+06 1446.5 3.82e-04 0.000 0.00e+00 3.085 3.65e+00 0.041 3.44e+00 0.041 3.94e+00 2.058 1.57e+00
1.0e-05 4.06e-05 1.0e-04 226.775 1.110e+06 1317.0 4.03e-05 0.000 0.00e+00 9.669 3.46e+00 0.110 2.49e+00 0.160 2.35e+00 8.714 1.74e+00
1.0e-06 4.04e-06 1.0e-05 718.899 9.854e+05 1164.2 4.25e-06 0.000 0.00e+00 27.422 3.65e+00 0.314 2.37e+00 0.366 2.44e+00 19.427 1.74e+00
Total 1.863e+07 24724.9 - 96.886 - 1598.964 - 17.343 - 17.914 - 1087.885 -

no-gas, ⌀ 3 inch, 1.4 mm thickness

Elow[MeV] ⟨E⟩[MeV] Eup[MeV] time [μs] primaries [n] n/cm2 ⟨En⟩ [MeV] p/cm2 ⟨Ep⟩ [MeV] γ/cm2 ⟨Eγ⟩ [MeV] e-/cm2 ⟨Ee-⟩ [MeV] e+e-/cm2 ⟨Ee+e-⟩ [MeV] e+e-(gen)/cm2 ⟨Ee+e-(gen)⟩ [MeV]
1.0e+01 4.42e+01 1.0e+02 0.217 1.426e+06 497.5 2.39e+01 13.297 1.54e+01 246.690 2.21e+00 2.945 1.51e+00 3.069 1.48e+00 920.968 9.68e-01
1.0e+00 2.29e+00 1.0e+01 0.955 4.595e+06 3605.1 2.13e+00 0.000 0.00e+00 300.943 1.07e+00 2.084 4.79e-01 2.084 4.90e-01 809.586 4.32e-01
1.0e-01 5.01e-01 1.0e+00 2.041 5.838e+06 4420.6 4.81e-01 0.000 0.00e+00 0.100 4.50e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00
1.0e-02 3.98e-02 1.0e-01 7.243 2.001e+06 4046.9 3.59e-02 0.000 0.00e+00 2.011 3.57e+00 0.059 2.03e+00 0.059 1.85e+00 2.187 5.28e-01
1.0e-03 4.16e-03 1.0e-02 22.403 1.454e+06 384.4 3.98e-03 0.000 0.00e+00 0.182 3.16e+00 0.015 2.84e+00 0.015 3.03e+00 2.171 1.32e+00
1.0e-04 4.08e-04 1.0e-03 71.537 1.221e+06 370.8 3.87e-04 0.000 0.00e+00 0.477 3.69e+00 0.069 3.08e+00 0.069 3.26e+00 3.211 1.78e+00
1.0e-05 4.06e-05 1.0e-04 226.775 1.110e+06 342.4 4.08e-05 0.000 0.00e+00 1.987 3.41e+00 0.130 2.13e+00 0.130 1.97e+00 13.081 1.54e+00
1.0e-06 4.04e-06 1.0e-05 718.899 9.854e+05 304.2 4.30e-06 0.000 0.00e+00 6.274 3.58e+00 0.249 1.91e+00 0.249 1.90e+00 23.296 1.35e+00
Total 1.863e+07 13971.9 - 13.297 - 558.663 - 5.550 - 5.674 - 1774.500 -

ERGAL

no-gas, ⌀ 1 inch, 0.8 mm thickness

Elow[MeV] ⟨E⟩[MeV] Eup[MeV] time [μs] primaries [n] n/cm2 ⟨En⟩ [MeV] p/cm2 ⟨Ep⟩ [MeV] γ/cm2 ⟨Eγ⟩ [MeV] e-/cm2 ⟨Ee-⟩ [MeV] e+e-/cm2 ⟨Ee+e-⟩ [MeV] e+e-(gen)/cm2 ⟨Ee+e-(gen)⟩ [MeV]
1.0e+01 4.42e+01 1.0e+02 0.217 1.426e+06 1341.5 1.81e+01 94.757 1.39e+01 952.726 2.18e+00 11.553 1.23e+00 11.909 1.26e+00 779.249 9.70e-01
1.0e+00 2.29e+00 1.0e+01 0.955 4.595e+06 6846.1 2.10e+00 0.000 0.00e+00 705.009 1.09e+00 5.455 5.50e-01 5.455 5.46e-01 516.126 4.57e-01
1.0e-01 5.01e-01 1.0e+00 2.041 5.838e+06 7901.5 4.79e-01 0.000 0.00e+00 4.146 2.11e+00 0.079 1.79e+00 0.079 1.52e+00 1.072 5.39e-01
1.0e-02 3.98e-02 1.0e-01 7.243 2.001e+06 3158.6 3.63e-02 0.000 0.00e+00 2.193 2.91e+00 0.049 4.10e-01 0.049 4.72e-01 0.582 9.58e-01
1.0e-03 4.16e-03 1.0e-02 22.403 1.454e+06 1772.6 4.01e-03 0.000 0.00e+00 67.677 3.07e+00 0.947 1.83e+00 1.050 1.86e+00 36.597 2.05e+00
1.0e-04 4.08e-04 1.0e-03 71.537 1.221e+06 1507.1 3.86e-04 0.000 0.00e+00 52.881 2.89e+00 0.573 1.60e+00 0.618 1.69e+00 40.288 1.26e+00
1.0e-05 4.06e-05 1.0e-04 226.775 1.110e+06 1347.6 4.04e-05 0.000 0.00e+00 11.386 3.24e+00 0.193 2.65e+00 0.216 2.52e+00 11.570 1.44e+00
1.0e-06 4.04e-06 1.0e-05 718.899 9.854e+05 1188.6 4.26e-06 0.000 0.00e+00 31.815 3.39e+00 0.401 2.19e+00 0.455 2.19e+00 25.614 1.54e+00
Total 1.863e+07 25063.6 - 94.757 - 1827.834 - 19.251 - 19.832 - 1411.097 -

no-gas, ⌀ 3 inch, 1.4 mm thickness

Elow[MeV] ⟨E⟩[MeV] Eup[MeV] time [μs] primaries [n] n/cm2 ⟨En⟩ [MeV] p/cm2 ⟨Ep⟩ [MeV] γ/cm2 ⟨Eγ⟩ [MeV] e-/cm2 ⟨Ee-⟩ [MeV] e+e-/cm2 ⟨Ee+e-⟩ [MeV] e+e-(gen)/cm2 ⟨Ee+e-(gen)⟩ [MeV]
1.0e+01 4.42e+01 1.0e+02 0.217 1.426e+06 500.0 2.33e+01 13.441 1.51e+01 264.699 2.16e+00 2.769 1.62e+00 2.879 1.59e+00 892.398 9.55e-01
1.0e+00 2.29e+00 1.0e+01 0.955 4.595e+06 3563.5 2.12e+00 0.000 0.00e+00 341.114 1.07e+00 1.744 5.27e-01 1.744 5.45e-01 826.577 4.29e-01
1.0e-01 5.01e-01 1.0e+00 2.041 5.838e+06 4516.1 4.81e-01 0.000 0.00e+00 3.407 2.11e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00
1.0e-02 3.98e-02 1.0e-01 7.243 2.001e+06 3936.5 3.60e-02 0.000 0.00e+00 3.212 3.06e+00 0.028 2.25e+00 0.028 2.15e+00 11.079 7.83e-01
1.0e-03 4.16e-03 1.0e-02 22.403 1.454e+06 663.6 4.04e-03 0.000 0.00e+00 24.634 3.04e+00 0.261 2.41e+00 0.277 2.58e+00 96.021 1.40e+00
1.0e-04 4.08e-04 1.0e-03 71.537 1.221e+06 461.1 3.90e-04 0.000 0.00e+00 15.329 2.83e+00 0.165 1.32e+00 0.194 1.32e+00 55.195 1.31e+00
1.0e-05 4.06e-05 1.0e-04 226.775 1.110e+06 375.9 4.09e-05 0.000 0.00e+00 2.860 3.15e+00 0.000 0.00e+00 0.000 0.00e+00 11.042 1.80e+00
1.0e-06 4.04e-06 1.0e-05 718.899 9.854e+05 333.8 4.31e-06 0.000 0.00e+00 8.289 3.27e+00 0.093 1.95e+00 0.093 1.97e+00 43.245 1.17e+00
Total 1.863e+07 14350.5 - 13.441 - 663.544 - 5.060 - 5.215 - 1935.557 -

He-3 gas, ⌀ 3 inch, 1.4 mm thickness, 1 atm pressure

Elow[MeV] ⟨E⟩[MeV] Eup[MeV] time [μs] primaries [n] n/cm2 ⟨En⟩ [MeV] p/cm2 ⟨Ep⟩ [MeV] γ/cm2 ⟨Eγ⟩ [MeV] e-/cm2 ⟨Ee-⟩ [MeV] e+e-/cm2 ⟨Ee+e-⟩ [MeV] e+e-(gen)/cm2 ⟨Ee+e-(gen)⟩ [MeV]
1.0e+01 4.42e+01 1.0e+02 0.217 1.426e+06 513.0 2.32e+01 13.639 1.51e+01 265.009 2.18e+00 2.988 1.69e+00 3.104 1.74e+00 960.814 9.80e-01
1.0e+00 2.29e+00 1.0e+01 0.955 4.595e+06 3813.4 2.07e+00 0.000 0.00e+00 337.235 1.07e+00 1.374 5.79e-01 1.374 5.98e-01 874.491 3.92e-01
1.0e-01 5.01e-01 1.0e+00 2.041 5.838e+06 4788.9 4.71e-01 0.000 0.00e+00 3.713 2.50e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00
1.0e-02 3.98e-02 1.0e-01 7.243 2.001e+06 4058.4 3.56e-02 0.000 0.00e+00 3.343 3.11e+00 0.030 2.25e+00 0.030 2.15e+00 14.689 6.65e-01
1.0e-03 4.16e-03 1.0e-02 22.403 1.454e+06 766.9 3.84e-03 0.000 0.00e+00 26.017 2.97e+00 0.397 2.97e+00 0.431 2.85e+00 77.886 1.62e+00
1.0e-04 4.08e-04 1.0e-03 71.537 1.221e+06 544.6 3.65e-04 0.000 0.00e+00 15.788 2.74e+00 0.164 2.82e+00 0.192 2.77e+00 54.660 1.20e+00
1.0e-05 4.06e-05 1.0e-04 226.775 1.110e+06 451.7 3.83e-05 0.000 0.00e+00 2.960 3.36e+00 0.000 0.00e+00 0.000 0.00e+00 11.605 8.64e-01
1.0e-06 4.04e-06 1.0e-05 718.899 9.854e+05 383.0 4.06e-06 0.000 0.00e+00 8.484 3.42e+00 0.069 1.22e+00 0.069 1.18e+00 36.033 1.14e+00
Total 1.863e+07 15319.9 - 13.639 - 662.550 - 5.023 - 5.200 - 2030.177 -

He-3 gas, ⌀ 3 inch, 1.4 mm thickness, 30 atm pressure

Elow[MeV] ⟨E⟩[MeV] Eup[MeV] time [μs] primaries [n] n/cm2 ⟨En⟩ [MeV] p/cm2 ⟨Ep⟩ [MeV] γ/cm2 ⟨Eγ⟩ [MeV] e-/cm2 ⟨Ee-⟩ [MeV] e+e-/cm2 ⟨Ee+e-⟩ [MeV] e+e-(gen)/cm2 ⟨Ee+e-(gen)⟩ [MeV]
1.0e+01 4.42e+01 1.0e+02 0.217 1.426e+06 733.7 2.46e+01 31.270 1.56e+01 270.562 2.17e+00 3.394 1.54e+00 3.527 1.64e+00 786.721 1.06e+00
1.0e+00 2.29e+00 1.0e+01 0.955 4.595e+06 10336.4 1.65e+00 0.000 0.00e+00 349.698 1.06e+00 2.053 5.84e-01 2.053 5.72e-01 739.333 4.49e-01
1.0e-01 5.01e-01 1.0e+00 2.041 5.838e+06 12061.5 3.68e-01 0.000 0.00e+00 3.346 2.59e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00
1.0e-02 3.98e-02 1.0e-01 7.243 2.001e+06 7248.6 2.99e-02 0.000 0.00e+00 3.963 3.20e+00 0.052 3.44e+00 0.052 3.64e+00 12.469 1.95e+00
1.0e-03 4.16e-03 1.0e-02 22.403 1.454e+06 3071.5 2.86e-03 0.000 0.00e+00 24.570 3.06e+00 0.434 2.88e+00 0.473 2.54e+00 68.031 1.60e+00
1.0e-04 4.08e-04 1.0e-03 71.537 1.221e+06 1691.4 2.85e-04 0.000 0.00e+00 16.768 2.78e+00 0.365 2.73e+00 0.388 2.77e+00 49.021 1.27e+00
1.0e-05 4.06e-05 1.0e-04 226.775 1.110e+06 600.0 3.31e-05 0.000 0.00e+00 2.505 3.64e+00 0.027 2.25e+00 0.027 2.55e+00 13.579 1.28e+00
1.0e-06 4.04e-06 1.0e-05 718.899 9.854e+05 146.1 3.93e-06 0.000 0.00e+00 9.118 3.57e+00 0.124 4.11e+00 0.124 3.88e+00 30.953 1.52e+00
Total 1.863e+07 35889.0 - 31.270 - 680.530 - 6.450 - 6.643 - 1700.107 -

He-3 gas, ⌀ 3 inch, 1.4 mm thickness, 300 atm pressure

Elow[MeV] ⟨E⟩[MeV] Eup[MeV] time [μs] primaries [n] n/cm2 ⟨En⟩ [MeV] p/cm2 ⟨Ep⟩ [MeV] γ/cm2 ⟨Eγ⟩ [MeV] e-/cm2 ⟨Ee-⟩ [MeV] e+e-/cm2 ⟨Ee+e-⟩ [MeV] e+e-(gen)/cm2 ⟨Ee+e-(gen)⟩ [MeV]
1.0e+01 4.42e+01 1.0e+02 0.217 1.426e+06 2708.9 2.71e+01 94.049 1.45e+01 324.453 2.16e+00 3.744 1.47e+00 4.050 1.53e+00 835.015 1.13e+00
1.0e+00 2.29e+00 1.0e+01 0.955 4.595e+06 50576.9 1.45e+00 0.000 0.00e+00 480.688 1.05e+00 3.245 5.45e-01 3.245 5.47e-01 704.333 4.40e-01
1.0e-01 5.01e-01 1.0e+00 2.041 5.838e+06 57115.1 3.14e-01 0.000 0.00e+00 5.221 1.90e+00 0.074 2.84e+00 0.074 3.03e+00 7.787 1.57e+00
1.0e-02 3.98e-02 1.0e-01 7.243 2.001e+06 17962.1 2.55e-02 0.000 0.00e+00 4.322 3.11e+00 0.079 9.57e-01 0.079 9.97e-01 20.648 1.48e+00
1.0e-03 4.16e-03 1.0e-02 22.403 1.454e+06 4337.5 2.83e-03 0.000 0.00e+00 25.920 2.90e+00 0.507 2.52e+00 0.546 2.47e+00 68.740 1.73e+00
1.0e-04 4.08e-04 1.0e-03 71.537 1.221e+06 464.9 3.06e-04 0.000 0.00e+00 15.396 2.82e+00 0.244 2.00e+00 0.298 2.05e+00 45.498 1.44e+00
1.0e-05 4.06e-05 1.0e-04 226.775 1.110e+06 78.4 3.59e-05 0.000 0.00e+00 2.672 3.60e+00 0.073 2.69e+00 0.103 3.04e+00 9.654 1.90e+00
1.0e-06 4.04e-06 1.0e-05 718.899 9.854e+05 52.9 3.81e-06 0.000 0.00e+00 8.692 3.51e+00 0.077 3.29e+00 0.077 3.79e+00 21.877 1.96e+00
Total 1.863e+07 133296.6 - 94.049 - 867.363 - 8.044 - 8.473 - 1713.553 -

O-16 gas, ⌀ 3 inch, 1.4 mm thickness, 1 atm pressure

Elow[MeV] ⟨E⟩[MeV] Eup[MeV] time [μs] primaries [n] n/cm2 ⟨En⟩ [MeV] p/cm2 ⟨Ep⟩ [MeV] γ/cm2 ⟨Eγ⟩ [MeV] e-/cm2 ⟨Ee-⟩ [MeV] e+e-/cm2Sorted ascending ⟨Ee+e-⟩ [MeV] e+e-(gen)/cm2 ⟨Ee+e-(gen)⟩ [MeV]
1.0e-01 5.01e-01 1.0e+00 2.041 5.838e+06 4602.2 4.81e-01 0.000 0.00e+00 3.374 2.17e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00
1.0e-02 3.98e-02 1.0e-01 7.243 2.001e+06 3961.4 3.60e-02 0.000 0.00e+00 3.225 2.94e+00 0.030 2.25e+00 0.030 2.15e+00 18.557 9.30e-01
1.0e-05 4.06e-05 1.0e-04 226.775 1.110e+06 392.4 4.08e-05 0.000 0.00e+00 2.700 3.09e+00 0.031 2.08e+00 0.031 2.14e+00 14.842 1.59e+00
1.0e-04 4.08e-04 1.0e-03 71.537 1.221e+06 478.1 3.89e-04 0.000 0.00e+00 15.169 2.84e+00 0.092 1.61e+00 0.105 1.66e+00 54.874 1.30e+00
1.0e-06 4.04e-06 1.0e-05 718.899 9.854e+05 349.1 4.29e-06 0.000 0.00e+00 8.258 3.22e+00 0.127 2.00e+00 0.127 2.04e+00 41.946 1.21e+00
1.0e-03 4.16e-03 1.0e-02 22.403 1.454e+06 682.3 4.03e-03 0.000 0.00e+00 24.404 3.05e+00 0.286 2.32e+00 0.302 2.41e+00 91.366 1.24e+00
1.0e+00 2.29e+00 1.0e+01 0.955 4.595e+06 3570.9 2.11e+00 0.000 0.00e+00 340.108 1.08e+00 1.881 5.20e-01 1.881 5.40e-01 846.129 4.15e-01
1.0e+01 4.42e+01 1.0e+02 0.217 1.426e+06 501.7 2.30e+01 13.238 1.42e+01 267.958 2.18e+00 3.446 1.58e+00 3.581 1.63e+00 869.144 1.00e+00
Total 1.863e+07 14538.1 - 13.238 - 665.197 - 5.893 - 6.057 - 1936.857 -

O-16 gas, ⌀ 3 inch, 1.4 mm thickness, 30 atm pressure

Elow[MeV] ⟨E⟩[MeV] Eup[MeV] time [μs] primaries [n] n/cm2 ⟨En⟩ [MeV] p/cm2 ⟨Ep⟩ [MeV] γ/cm2 ⟨Eγ⟩ [MeV] e-/cm2 ⟨Ee-⟩ [MeV] e+e-/cm2 ⟨Ee+e-⟩ [MeV] e+e-(gen)/cm2 ⟨Ee+e-(gen)⟩ [MeV]
1.0e+01 4.42e+01 1.0e+02 0.217 1.426e+06 591.7 2.32e+01 15.872 1.45e+01 308.832 2.50e+00 3.383 1.45e+00 3.581 1.51e+00 867.265 9.28e-01
1.0e+00 2.29e+00 1.0e+01 0.955 4.595e+06 3872.4 2.11e+00 0.000 0.00e+00 337.404 1.07e+00 1.760 5.08e-01 1.760 5.25e-01 864.487 4.44e-01
1.0e-01 5.01e-01 1.0e+00 2.041 5.838e+06 7121.2 4.75e-01 0.000 0.00e+00 3.260 2.77e+00 0.000 0.00e+00 0.000 0.00e+00 1.903 7.61e-01
1.0e-02 3.98e-02 1.0e-01 7.243 2.001e+06 4658.5 3.56e-02 0.000 0.00e+00 3.419 3.28e+00 0.027 2.25e+00 0.027 2.15e+00 11.554 8.20e-01
1.0e-03 4.16e-03 1.0e-02 22.403 1.454e+06 1250.0 3.89e-03 0.000 0.00e+00 25.755 3.00e+00 0.336 2.41e+00 0.352 2.40e+00 72.995 1.84e+00
1.0e-04 4.08e-04 1.0e-03 71.537 1.221e+06 1001.1 3.74e-04 0.000 0.00e+00 16.239 2.87e+00 0.179 1.22e+00 0.179 1.26e+00 63.103 1.04e+00
1.0e-05 4.06e-05 1.0e-04 226.775 1.110e+06 871.4 3.92e-05 0.000 0.00e+00 3.010 3.74e+00 0.069 3.20e+00 0.069 3.53e+00 11.372 1.66e+00
1.0e-06 4.04e-06 1.0e-05 718.899 9.854e+05 774.7 4.13e-06 0.000 0.00e+00 9.087 3.51e+00 0.185 2.46e+00 0.185 2.48e+00 39.686 1.30e+00
Total 1.863e+07 20141.1 - 15.872 - 707.007 - 5.939 - 6.154 - 1932.364 -

O-16 gas, ⌀ 3 inch, 1.4 mm thickness, 300 atm pressure

Elow[MeV] ⟨E⟩[MeV] Eup[MeV] time [μs] primaries [n] n/cm2 ⟨En⟩ [MeV] p/cm2 ⟨Ep⟩ [MeV] γ/cm2 ⟨Eγ⟩ [MeV] e-/cm2 ⟨Ee-⟩ [MeV] e+e-/cm2 ⟨Ee+e-⟩ [MeV] e+e-(gen)/cm2 ⟨Ee+e-(gen)⟩ [MeV]
1.0e+01 4.42e+01 1.0e+02 0.217 1.426e+06 1389.2 2.28e+01 23.384 1.24e+01 701.449 3.58e+00 9.369 2.32e+00 10.178 2.34e+00 1379.877 1.43e+00
1.0e+00 2.29e+00 1.0e+01 0.955 4.595e+06 6579.5 2.07e+00 0.000 0.00e+00 351.483 1.06e+00 1.753 5.20e-01 1.753 5.23e-01 643.681 4.79e-01
1.0e-01 5.01e-01 1.0e+00 2.041 5.838e+06 28766.5 4.66e-01 0.000 0.00e+00 3.299 2.28e+00 0.000 0.00e+00 0.000 0.00e+00 7.018 9.21e-01
1.0e-02 3.98e-02 1.0e-01 7.243 2.001e+06 10847.3 3.45e-02 0.000 0.00e+00 5.196 3.08e+00 0.025 1.79e+00 0.025 2.15e+00 16.675 1.61e+00
1.0e-03 4.16e-03 1.0e-02 22.403 1.454e+06 6114.8 3.75e-03 0.000 0.00e+00 25.925 2.82e+00 0.280 2.81e+00 0.343 2.73e+00 77.949 1.77e+00
1.0e-04 4.08e-04 1.0e-03 71.537 1.221e+06 5468.9 3.62e-04 0.000 0.00e+00 19.805 2.83e+00 0.380 1.63e+00 0.395 1.67e+00 70.422 1.54e+00
1.0e-05 4.06e-05 1.0e-04 226.775 1.110e+06 4936.8 3.81e-05 0.000 0.00e+00 3.320 3.74e+00 0.068 3.42e+00 0.083 3.14e+00 15.179 1.68e+00
1.0e-06 4.04e-06 1.0e-05 718.899 9.854e+05 4386.5 4.02e-06 0.000 0.00e+00 10.742 3.46e+00 0.249 2.53e+00 0.284 2.55e+00 48.667 1.71e+00
Total 1.863e+07 68489.5 - 23.384 - 1121.219 - 12.124 - 13.062 - 2259.468 -

No container

He-3 gas, ⌀ 3 inch, 1 atm

Elow[MeV] ⟨E⟩[MeV] Eup[MeV] time [μs] primaries [n] n/cm2 ⟨En⟩ [MeV] p/cm2 ⟨Ep⟩ [MeV] γ/cm2 ⟨Eγ⟩ [MeV] e-/cm2 ⟨Ee-⟩ [MeV] e+e-/cm2 ⟨Ee+e-⟩ [MeV] e+e-(gen)/cm2 ⟨Ee+e-(gen)⟩ [MeV]
1.0e+01 4.42e+01 1.0e+02 0.217 1.426e+06 7.9 2.75e+01 3.483 1.24e+01 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00
1.0e+00 2.29e+00 1.0e+01 0.955 4.595e+06 241.1 1.42e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00
1.0e-01 5.01e-01 1.0e+00 2.041 5.838e+06 266.5 3.07e-01 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00
1.0e-02 3.98e-02 1.0e-01 7.243 2.001e+06 135.0 2.35e-02 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00
1.0e-03 4.16e-03 1.0e-02 22.403 1.454e+06 110.2 2.53e-03 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00
1.0e-04 4.08e-04 1.0e-03 71.537 1.221e+06 92.3 2.45e-04 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00
1.0e-05 4.06e-05 1.0e-04 226.775 1.110e+06 79.3 2.56e-05 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00
1.0e-06 4.04e-06 1.0e-05 718.899 9.854e+05 61.1 2.72e-06 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00 0.363 5.39e-01
Total 1.863e+07 993.4 - 3.483 - 0.000 - 0.000 - 0.000 - 0.363 -

He-3 gas, ⌀ 3 inch, 30 atm

Elow[MeV] ⟨E⟩[MeV] Eup[MeV] time [μs] primaries [n] n/cm2 ⟨En⟩ [MeV] p/cm2 ⟨Ep⟩ [MeV] γ/cm2 ⟨Eγ⟩ [MeV] e-/cm2 ⟨Ee-⟩ [MeV] e+e-/cm2 ⟨Ee+e-⟩ [MeV] e+e-(gen)/cm2 ⟨Ee+e-(gen)⟩ [MeV]
1.0e+01 4.42e+01 1.0e+02 0.217 1.426e+06 224.8 2.84e+01 78.479 1.47e+01 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00
1.0e+00 2.29e+00 1.0e+01 0.955 4.595e+06 6977.5 1.41e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00
1.0e-01 5.01e-01 1.0e+00 2.041 5.838e+06 7842.2 3.02e-01 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00
1.0e-02 3.98e-02 1.0e-01 7.243 2.001e+06 3723.8 2.32e-02 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00
1.0e-03 4.16e-03 1.0e-02 22.403 1.454e+06 2498.3 2.56e-03 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00
1.0e-04 4.08e-04 1.0e-03 71.537 1.221e+06 1320.8 2.54e-04 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00
1.0e-05 4.06e-05 1.0e-04 226.775 1.110e+06 361.7 2.81e-05 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00
1.0e-06 4.04e-06 1.0e-05 718.899 9.854e+05 30.1 3.03e-06 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00
Total 1.863e+07 22979.3 - 78.479 - 0.000 - 0.000 - 0.000 - 0.000 -

He-3 gas, ⌀ 3 inch, 300 atm

Elow[MeV] ⟨E⟩[MeV] Eup[MeV] time [μs] primaries [n] n/cm2 ⟨En⟩ [MeV] p/cm2 ⟨Ep⟩ [MeV] γ/cm2 ⟨Eγ⟩ [MeV] e-/cm2 ⟨Ee-⟩ [MeV] e+e-/cm2 ⟨Ee+e-⟩ [MeV] e+e-(gen)/cm2 ⟨Ee+e-(gen)⟩ [MeV]
1.0e+01 4.42e+01 1.0e+02 0.217 1.426e+06 2182.9 2.83e+01 297.011 1.62e+01 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00
1.0e+00 2.29e+00 1.0e+01 0.955 4.595e+06 48327.7 1.41e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00
1.0e-01 5.01e-01 1.0e+00 2.041 5.838e+06 54469.1 3.02e-01 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00
1.0e-02 3.98e-02 1.0e-01 7.243 2.001e+06 16470.0 2.37e-02 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00
1.0e-03 4.16e-03 1.0e-02 22.403 1.454e+06 4030.4 2.73e-03 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00
1.0e-04 4.08e-04 1.0e-03 71.537 1.221e+06 314.9 2.70e-04 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00
1.0e-05 4.06e-05 1.0e-04 226.775 1.110e+06 10.4 2.52e-05 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00
1.0e-06 4.04e-06 1.0e-05 718.899 9.854e+05 1.4 2.03e-06 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00
Total 1.863e+07 125806.9 - 297.011 - 0.000 - 0.000 - 0.000 - 0.000 -

O-16 gas, ⌀ 3 inch, 1 atm

Elow[MeV] ⟨E⟩[MeV] Eup[MeV] time [μs] primaries [n] n/cm2 ⟨En⟩ [MeV] p/cm2 ⟨Ep⟩ [MeV] γ/cm2 ⟨Eγ⟩ [MeV] e-/cm2 ⟨Ee-⟩ [MeV] e+e-/cm2 ⟨Ee+e-⟩ [MeV] e+e-(gen)/cm2 ⟨Ee+e-(gen)⟩ [MeV]
1.0e+01 4.42e+01 1.0e+02 0.217 1.426e+06 2.9 2.15e+01 0.834 9.87e+00 1.126 4.49e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00
1.0e+00 2.29e+00 1.0e+01 0.955 4.595e+06 8.8 2.02e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00
1.0e-01 5.01e-01 1.0e+00 2.041 5.838e+06 85.7 4.67e-01 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00
1.0e-02 3.98e-02 1.0e-01 7.243 2.001e+06 26.9 3.42e-02 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00
1.0e-03 4.16e-03 1.0e-02 22.403 1.454e+06 19.2 3.73e-03 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00 0.953 1.91e-01
1.0e-04 4.08e-04 1.0e-03 71.537 1.221e+06 18.6 3.60e-04 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00 0.799 1.91e-01
1.0e-05 4.06e-05 1.0e-04 226.775 1.110e+06 16.9 3.79e-05 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00 0.726 1.91e-01
1.0e-06 4.04e-06 1.0e-05 718.899 9.854e+05 15.0 4.00e-06 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00 0.644 1.91e-01
Total 1.863e+07 194.1 - 0.834 - 1.126 - 0.000 - 0.000 - 3.122 -

O-16 gas, ⌀ 3 inch, 30 atm

Elow[MeV] ⟨E⟩[MeV] Eup[MeV] time [μs] primaries [n] n/cm2 ⟨En⟩ [MeV] p/cm2 ⟨Ep⟩ [MeV] γ/cm2 ⟨Eγ⟩ [MeV] e-/cm2 ⟨Ee-⟩ [MeV] e+e-/cm2 ⟨Ee+e-⟩ [MeV] e+e-(gen)/cm2 ⟨Ee+e-(gen)⟩ [MeV]
1.0e+01 4.42e+01 1.0e+02 0.217 1.426e+06 89.1 2.23e+01 17.474 1.12e+01 42.036 4.63e+00 0.000 0.00e+00 0.000 0.00e+00 3.154 3.76e+00
1.0e+00 2.29e+00 1.0e+01 0.955 4.595e+06 312.2 2.03e+00 0.000 0.00e+00 0.050 8.97e-01 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00
1.0e-01 5.01e-01 1.0e+00 2.041 5.838e+06 2654.3 4.66e-01 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00
1.0e-02 3.98e-02 1.0e-01 7.243 2.001e+06 822.1 3.41e-02 0.000 0.00e+00 0.022 1.13e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00
1.0e-03 4.16e-03 1.0e-02 22.403 1.454e+06 592.1 3.72e-03 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00
1.0e-04 4.08e-04 1.0e-03 71.537 1.221e+06 548.2 3.60e-04 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00
1.0e-05 4.06e-05 1.0e-04 226.775 1.110e+06 498.6 3.79e-05 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00
1.0e-06 4.04e-06 1.0e-05 718.899 9.854e+05 442.9 4.00e-06 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00
Total 1.863e+07 5959.5 - 17.474 - 42.108 - 0.000 - 0.000 - 3.154 -

O-16 gas, ⌀ 3 inch, 300 atm

Elow[MeV] ⟨E⟩[MeV] Eup[MeV] time [μs] primaries [n] n/cm2 ⟨En⟩ [MeV] p/cm2 ⟨Ep⟩ [MeV] γ/cm2 ⟨Eγ⟩ [MeV] e-/cm2 ⟨Ee-⟩ [MeV] e+e-/cm2 ⟨Ee+e-⟩ [MeV] e+e-(gen)/cm2 ⟨Ee+e-(gen)⟩ [MeV]
1.0e+01 4.42e+01 1.0e+02 0.217 1.426e+06 880.3 2.28e+01 75.167 1.25e+01 408.361 4.64e+00 1.589 2.51e+00 1.735 2.53e+00 315.556 2.33e+00
1.0e+00 2.29e+00 1.0e+01 0.955 4.595e+06 3051.1 2.03e+00 0.000 0.00e+00 0.368 1.62e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00
1.0e-01 5.01e-01 1.0e+00 2.041 5.838e+06 24980.4 4.65e-01 0.000 0.00e+00 0.059 8.97e-01 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00
1.0e-02 3.98e-02 1.0e-01 7.243 2.001e+06 7694.7 3.40e-02 0.000 0.00e+00 0.133 1.21e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00
1.0e-03 4.16e-03 1.0e-02 22.403 1.454e+06 5558.6 3.71e-03 0.000 0.00e+00 0.015 8.97e-01 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00
1.0e-04 4.08e-04 1.0e-03 71.537 1.221e+06 5105.8 3.60e-04 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00
1.0e-05 4.06e-05 1.0e-04 226.775 1.110e+06 4642.6 3.79e-05 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00
1.0e-06 4.04e-06 1.0e-05 718.899 9.854e+05 4122.5 4.00e-06 0.000 0.00e+00 0.023 1.67e+00 0.000 0.00e+00 0.000 0.00e+00 0.000 0.00e+00
Total 1.863e+07 56036.0 - 75.167 - 408.959 - 1.589 - 1.735 - 315.556 -

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Topic revision: r12 - 2021-05-02 - AlbertoMengoni
 
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