Leakage Neutron Spectra from Beryllium Sphere and Beryllium-Lithium Sphere Version 1.0 compiled on March 8, 1994 Authors Y. Murakami, K. Yoshioka, K. Yamanaka, A. Takahashi and K. Sumita. Organization Department of Nuclear Engineering, Osaka University 2-1 Yamada-oka, Suita, Osaka 565, Japan Tel 06-877-5111 Fax 06-877-3264 Facility OKTAVIAN, Osaka University Date Feb. 6-20, 1991 and Apr. 22 - Jun. 5, 1991 Measured Quantities Leakage neutrons / Source neutrons 1) Experimental Method Time of Flight Method 2) Neutron Source Characteristics Pulsed D-T neutrons of 2 nsec width and 0.5 MHz repetition rate by OKTAVIAN. The data list and spectrum are shown in Table 2.1 and Fig. 2.1. Material Beryllium, Beryllium + Lithium Geometry / Configuration Shell (1) inner radius 57 mm, outer radius 173.5 mm (2) 69 mm, 173.5 mm (3) 97 mm, 173.5 mm (4) 128 mm, 173.5 mm (5) Beryllium (1) + Lithium (400 mm thickness) (6) Beryllium (4) + Lithium (400 mm thickness) Experimental Data with Errors Experimental data with errors are shown in Table 2.2 to Table 2.7 and Fig. 2.2 to Fig. 2.7. Error Assessment The error shown in Table 2.2 to Table 2.7 are only statistic ones. The uncertainty in normalization of neutron intensity must be added. It is estimated to be 6.7 - 8.4 %3) Example of Experimental Analysis 1. Calculation Code NITRAN-14) 2. Nuclear Data JENDL-3 3. Input data The data are shown in Fig. 2.8 as a JCL of NITRAN. 4. Result Shown in Fig. 2.2 to Fig. 2.7 with experimental data. References (1) Sumita K., et al.: "Integral Benchmark Experiments on Be-Li-Graphite Systems for Tritium Breeding Blanket Design," Proc. of 2nd Intern Symposium on Fusion Nuclear Technology, June 3-7 1991, Karlsruhe, FRG (1991). (2) Takahashi A., et al.: Proc. of the 12th Symposium on Fusion Technol., Sept. 13-17 1982, Julich, Vol. I, pp. 687-692. (3) Iguchi T.: "Experimental Research of High-Accuracy TBR Evaluation for Fusion Reactor Neutronics," Univ. of Tokyo (in Japanese, 1986). (4) Maekawa F.: "NITRAN Manual," OKTAVIAN Rep. A-90-01 (1990). List of Tables: Table 2.1 D-T source neutron spectrum. Table 2.2 Leakage spectra from beryllium sphere (ir=57mm or=173.5mm). Table 2.3 Leakage spectra from beryllium sphere (ir=69mm or=173.5mm). Table 2.4 Leakage spectra from beryllium sphere (ir=97mm or=173.5mm). Table 2.5 Leakage spectra from beryllium sphere (ir=128mm or=173.5mm). Table 2.6 Leakage spectra from beryllium-lithium sphere ( Be 116.5 mm, Li 400.0 mm). Table 2.7 Leakage spectra from beryllium-lithium sphere ( Be 45.5 mm, Li 400.0 mm). List of Figures Fig. 2.1 D-T source neutron spectrum. Fig. 2.2 Leakage spectra from Be (116.5 mm) sphere. Fig. 2.3 Leakage spectra from Be (104.5 mm) sphere. Fig. 2.4 Leakage spectra from Be (76.5 mm) sphere. Fig. 2.5 Leakage spectra from Be (45.5 mm) sphere. Fig. 2.6 Leakage spectra from Be (116.5 mm) - Li sphere. Fig. 2.7 Leakage spectra from Be (45.5 mm) - Li sphere. Fig. 2.8 JCL of NITRAN-1 for Beryllium analysis. --------------------------------------------------------- Table 2.1 D-T source neutron spectrum. ----------------------------------------- Upper Energy n/Source_n error (MeV) ----------------------------------------- 1.640e+01 6.661e-03 5.480e-04 1.583e+01 6.294e-02 1.660e-03 1.555e+01 6.464e-02 1.700e-03 1.527e+01 3.544e-01 4.000e-03 1.500e+01 3.641e-01 4.100e-03 1.474e+01 3.740e-01 4.200e-03 1.447e+01 3.758e-01 4.200e-03 1.422e+01 3.862e-01 4.300e-03 1.397e+01 3.966e-01 4.400e-03 1.372e+01 2.350e-01 3.400e-03 1.348e+01 2.414e-01 3.500e-03 1.324e+01 2.480e-01 3.600e-03 1.301e+01 7.799e-02 2.040e-03 1.278e+01 8.012e-02 2.080e-03 1.255e+01 2.116e-02 8.500e-04 1.218e+01 2.214e-02 8.800e-04 1.183e+01 1.431e-02 7.300e-04 1.148e+01 1.496e-02 7.600e-04 1.114e+01 1.172e-02 6.800e-04 1.082e+01 9.884e-03 6.430e-04 1.050e+01 1.042e-02 5.800e-04 1.009e+01 8.635e-03 5.440e-04 9.693e+00 7.709e-03 5.300e-04 9.314e+00 6.572e-03 5.060e-04 8.949e+00 6.032e-03 5.000e-04 8.598e+00 6.520e-03 5.300e-04 8.261e+00 5.856e-03 5.200e-04 7.938e+00 5.882e-03 5.340e-04 7.627e+00 5.133e-03 5.190e-04 7.327e+00 4.647e-03 5.150e-04 7.041e+00 5.739e-03 5.720e-04 6.765e+00 5.328e-03 5.860e-04 6.500e+00 6.649e-03 6.790e-04 6.242e+00 5.706e-03 6.460e-04 5.995e+00 6.899e-03 7.450e-04 5.757e+00 6.566e-03 7.330e-04 5.529e+00 6.926e-03 7.960e-04 5.310e+00 5.977e-03 7.250e-04 5.099e+00 6.346e-03 7.850e-04 4.897e+00 6.816e-03 8.120e-04 4.703e+00 8.892e-03 9.220e-04 4.516e+00 8.914e-03 9.360e-04 4.377e+00 1.260e-02 1.130e-03 4.165e+00 1.005e-02 1.100e-03 4.000e+00 1.146e-02 8.500e-04 3.699e+00 1.273e-02 9.300e-04 3.419e+00 1.241e-02 9.300e-04 3.162e+00 1.696e-02 1.070e-03 2.924e+00 1.811e-02 1.150e-03 2.704e+00 3.856e-02 1.590e-03 2.500e+00 3.192e-02 1.380e-03 2.270e+00 2.926e-02 1.430e-03 2.061e+00 2.667e-02 1.390e-03 1.871e+00 2.289e-02 1.360e-03 1.698e+00 2.866e-02 1.610e-03 1.542e+00 3.143e-02 1.710e-03 1.400e+00 3.746e-02 1.960e-03 1.275e+00 2.780e-02 1.870e-03 1.162e+00 3.855e-02 2.270e-03 1.058e+00 3.713e-02 2.470e-03 9.640e+00 5.392e-02 2.870e-03 8.780e-01 5.892e-02 3.100e-03 8.000e-01 4.512e-02 2.730e-03 7.130e-01 4.800e-02 3.100e-03 6.350e-01 2.412e-02 2.870e-03 5.660e-01 5.657e-02 4.140e-03 5.040e-01 ----------------------------------------------------------------------------------------- Table 2.2 Leakage spectra from beryllium sphere (ir=57mm or=173.5mm). ----------------------------------------- Upper Energy n/Source_n error (MeV) ----------------------------------------- 1.697e+01 8.303e-04 8.480e-05 1.673e+01 8.529e-04 8.650e-05 1.650e+01 6.670e-03 2.260e-04 1.626e+01 6.851e-03 2.310e-04 1.598e+01 4.766e-02 6.100e-04 1.572e+01 4.896e-02 6.200e-04 1.542e+01 1.788e-01 1.200e-03 1.513e+01 1.837e-01 1.200e-03 1.494e+01 1.888e-01 1.300e-03 1.477e+01 1.411e-01 1.100e-03 1.462e+01 1.450e-01 1.100e-03 1.453e+01 7.962e-02 8.400e-04 1.442e+01 8.180e-02 8.500e-04 1.431e+01 5.044e-02 6.800e-04 1.419e+01 5.183e-02 6.900e-04 1.401e+01 3.375e-02 4.400e-04 1.369e+01 2.700e-02 4.000e-04 1.325e+01 2.824e-02 4.100e-04 1.279e+01 2.671e-02 4.100e-04 1.237e+01 2.614e-02 4.100e-04 1.201e+01 2.596e-02 4.200e-04 1.164e+01 2.524e-02 3.600e-04 1.123e+01 2.573e-02 3.700e-04 1.081e+01 2.484e-02 3.700e-04 1.040e+01 2.329e-02 3.700e-04 9.994e+00 2.220e-02 3.700e-04 9.599e+00 2.193e-02 3.700e-04 9.211e+00 2.260e-02 3.900e-04 8.834e+00 2.157e-02 3.700e-04 8.470e+00 2.397e-02 4.100e-04 8.122e+00 2.795e-02 4.800e-04 7.792e+00 3.041e-02 5.200e-04 7.477e+00 3.070e-02 5.200e-04 7.172e+00 3.054e-02 5.200e-04 6.877e+00 3.303e-02 5.700e-04 6.594e+00 3.399e-02 5.800e-04 6.325e+00 3.279e-02 5.700e-04 6.069e+00 3.479e-02 6.000e-04 5.824e+00 3.263e-02 5.800e-04 5.591e+00 3.471e-02 6.000e-04 5.368e+00 3.278e-02 5.800e-04 5.152e+00 3.717e-02 6.500e-04 4.943e+00 3.535e-02 6.300e-04 4.745e+00 3.575e-02 6.400e-04 4.559e+00 3.515e-02 6.300e-04 4.333e+00 3.856e-02 5.000e-04 4.033e+00 3.898e-02 5.000e-04 3.711e+00 4.072e-02 5.400e-04 3.412e+00 3.876e-02 5.200e-04 3.133e+00 3.656e-02 5.200e-04 2.889e+00 3.431e-02 5.000e-04 2.674e+00 6.302e-02 6.200e-04 2.462e+00 7.858e-02 6.900e-04 2.251e+00 1.048e-01 8.000e-04 2.250e+00 1.308e-01 1.000e-03 1.861e+00 1.500e-01 1.100e-03 1.685e+00 1.609e-01 1.200e-03 1.524e+00 1.713e-01 1.200e-03 1.379e+00 1.771e-01 1.300e-03 1.250e+00 1.865e-01 1.400e-03 1.134e+00 1.891e-01 1.500e-03 1.029e+00 1.860e-01 1.500e-03 9.340e-01 2.067e-01 1.700e-03 8.453e-01 1.951e-01 1.260e-02 7.569e-01 2.631e-01 1.860e-02 6.708e-01 2.437e-01 1.600e-02 5.960e-01 2.269e-01 1.620e-02 5.313e-01 3.007e-01 1.710e-02 4.729e-01 3.580e-01 1.660e-02 4.208e-01 4.144e-01 1.590e-02 3.743e-01 4.084e-01 1.550e-02 3.330e-01 4.329e-01 1.490e-02 2.966e-01 5.902e-01 1.770e-02 2.641e-01 6.286e-01 1.740e-02 2.348e-01 7.337e-01 2.090e-02 2.091e-01 5.466e-01 1.900e-02 1.862e-01 5.086e-01 2.150e-02 1.657e-01 6.056e-01 3.230e-02 1.473e-01 6.329e-01 4.360e-02 1.312e-01 5.833e-01 4.540e-02 1.168e-01 8.019e-01 5.900e-02 1.010e-01 7.191e-01 3.940e-02 8.148e-02 9.050e-01 5.380e-02 6.295e-02 9.548e-01 6.210e-02 4.867e-02 1.346e+00 9.800e-02 3.763e-02 1.618e+00 1.090e-01 2.907e-02 1.765e+00 1.370e-01 2.251e-02 2.402e+00 1.860e-01 1.742e-02 2.666e+00 2.230e-01 1.344e-02 3.122e+00 3.120e-01 1.042e-02 4.098e+00 3.870e-01 8.008e-03 4.564e+00 4.370e-01 6.216e-03 6.601e+00 6.580e-01 4.816e-03 6.413e+00 7.440e-01 3.640e-03 6.441e+00 8.530e-01 2.856e-03 7.014e+00 1.168e+00 2.240e-03 ----------------------------------------------------------------------------------------- Table 2.3 Leakage spectra from beryllium sphere (ir=69mm or=173.5mm). ----------------------------------------------------------------------- Upper Energy n/Source_n error (MeV) ----------------------------------------- 1.697e+01 2.660e-03 1.490e-04 1.673e+01 2.733e-03 1.520e-04 1.650e+01 1.370e-02 3.400e-04 1.626e+01 1.407e-02 3.400e-04 1.598e+01 6.936e-02 7.600e-04 1.572e+01 7.125e-02 7.800e-04 1.541e+01 7.321e-02 8.000e-04 1.512e+01 2.264e-01 1.400e-03 1.495e+01 2.326e-01 1.400e-03 1.478e+01 1.608e-01 1.200e-03 1.464e+01 1.652e-01 1.200e-03 1.457e+01 8.689e-02 9.100e-04 1.448e+01 8.927e-02 9.300e-04 1.438e+01 5.375e-02 7.300e-04 1.428e+01 5.523e-02 7.500e-04 1.410e+01 3.595e-02 4.700e-04 1.377e+01 3.760e-02 4.900e-04 1.331e+01 3.099e-02 4.500e-04 1.284e+01 2.968e-02 4.500e-04 1.243e+01 2.773e-02 4.400e-04 1.207e+01 2.810e-02 4.500e-04 1.171e+01 2.800e-02 4.000e-04 1.130e+01 2.666e-02 3.900e-04 1.087e+01 2.650e-02 4.000e-04 1.046e+01 2.544e-02 4.000e-04 1.005e+01 2.415e-02 4.000e-04 9.657e+00 2.413e-02 4.100e-04 9.266e+00 2.418e-02 4.200e-04 8.884e+00 2.258e-02 4.000e-04 8.515e+00 2.503e-02 4.400e-04 8.164e+00 2.970e-02 5.200e-04 7.831e+00 3.277e-02 5.600e-04 7.513e+00 3.325e-02 5.700e-04 7.206e+00 3.258e-02 5.600e-04 6.909e+00 3.629e-02 6.200e-04 6.623e+00 3.614e-02 6.200e-04 6.352e+00 3.513e-02 6.100e-04 6.095e+00 3.614e-02 6.400e-04 5.849e+00 3.480e-02 6.200e-04 5.615e+00 3.522e-02 6.300e-04 5.391e+00 3.553e-02 6.300e-04 5.174e+00 4.042e-02 7.100e-04 4.963e+00 3.875e-02 6.900e-04 4.765e+00 4.011e-02 7.100e-04 4.577e+00 3.834e-02 6.900e-04 4.350e+00 4.244e-02 5.400e-04 4.047e+00 4.130e-02 5.400e-04 3.723e+00 4.311e-02 5.700e-04 3.421e+00 4.300e-02 5.800e-04 3.140e+00 4.465e-02 6.000e-04 2.895e+00 3.922e-02 5.500e-04 2.682e+00 6.258e-02 6.400e-04 2.471e+00 8.743e-02 7.600e-04 2.259e+00 1.066e-01 9.000e-04 2.058e+00 1.367e-01 1.000e-03 1.868e+00 1.538e-01 1.100e-03 1.690e+00 1.715e-01 1.200e-03 1.528e+00 1.749e-01 1.300e-03 1.383e+00 1.849e-01 1.400e-03 1.253e+00 1.955e-01 1.500e-03 1.136e+00 1.955e-01 1.600e-03 1.031e+00 1.956e-01 1.600e-03 9.359e-01 2.152e-01 1.800e-03 8.470e-01 1.854e-01 1.240e-02 7.584e-01 3.143e-01 1.900e-02 6.720e-01 2.413e-01 1.590e-02 5.970e-01 2.182e-01 1.600e-02 5.323e-01 2.578e-01 1.640e-02 4.737e-01 3.563e-01 1.650e-02 4.216e-01 3.987e-01 1.570e-02 3.751e-01 4.163e-01 1.550e-02 3.337e-01 4.535e-01 1.500e-02 2.972e-01 5.851e-01 1.770e-02 2.645e-01 6.352e-01 1.740e-02 2.352e-01 7.421e-01 2.090e-02 2.094e-01 5.250e-01 1.870e-02 1.865e-01 4.966e-01 2.120e-02 1.660e-01 6.135e-01 3.200e-02 1.477e-01 7.496e-01 4.410e-02 1.314e-01 6.538e-01 4.540e-02 1.170e-01 6.711e-01 5.710e-02 1.011e-01 6.953e-01 3.870e-02 8.160e-02 8.353e-01 5.260e-02 6.306e-02 8.366e-01 6.050e-02 4.878e-02 1.165e+00 9.500e-02 3.775e-02 1.429e+00 1.070e-01 2.918e-02 1.541e+00 1.340e-01 2.257e-02 2.035e+00 1.810e-01 1.747e-02 2.122e+00 2.170e-01 1.350e-02 2.888e+00 3.060e-01 1.042e-02 2.643e+00 3.740e-01 8.008e-03 3.571e+00 4.260e-01 6.216e-03 5.050e+00 6.410e-01 4.816e-03 6.219e+00 7.290e-01 3.696e-03 5.217e+00 8.330e-01 2.912e-03 7.640e+00 1.146e+00 2.240e-03 ----------------------------------------------------------------------------------------- Table 2.4 Leakage spectra from beryllium sphere (ir=97mm or=173.5mm). ----------------------------------------------------------------------------------------- UpperEnergy n/Source_n error (MeV) ----------------------------------------- 1.679e+01 7.166e-03 3.180e-04 1.650e+01 7.364e-03 3.250e-04 1.623e+01 7.564e-03 3.320e-04 1.591e+01 6.539e-02 9.700e-04 1.560e+01 6.717e-02 9.900e-04 1.546e+01 3.618e-01 2.300e-03 1.532e+01 3.716e-01 2.400e-03 1.522e+01 2.633e-01 2.000e-03 1.524e+01 2.704e-01 2.100e-03 1.522e+01 1.156e-01 1.400e-03 1.516e+01 1.188e-01 1.400e-03 1.508e+01 6.739e-02 1.060e-03 1.489e+01 6.985e-02 8.500e-04 1.451e+01 4.339e-02 6.800e-04 1.400e+01 3.445e-02 6.100e-04 1.350e+01 3.264e-02 6.100e-04 1.307e+01 3.413e-02 6.300e-04 1.270e+01 3.127e-02 6.100e-04 1.232e+01 3.317e-02 5.500e-04 1.188e+01 3.307e-02 5.600e-04 1.142e+01 2.857e-02 5.400e-04 1.098e+01 2.755e-02 5.400e-04 1.055e+01 2.704e-02 5.400e-04 1.012e+01 2.604e-02 5.400e-04 9.702e+00 2.549e-02 5.500e-04 9.293e+00 2.408e-02 5.300e-04 8.899e+00 2.783e-02 5.900e-04 8.527e+00 3.234e-02 6.900e-04 8.178e+00 3.510e-02 7.500e-04 7.845e+00 3.527e-02 7.500e-04 7.524e+00 3.579e-02 7.600e-04 7.211e+00 3.980e-02 8.400e-04 6.911e+00 3.870e-02 8.300e-04 6.629e+00 3.868e-02 8.300e-04 6.360e+00 3.978e-02 8.600e-04 6.103e+00 3.779e-02 8.300e-04 5.859e+00 3.726e-02 8.400e-04 5.624e+00 3.617e-02 8.200e-04 5.396e+00 4.111e-02 9.200e-04 5.176e+00 4.220e-02 9.300e-04 4.970e+00 4.186e-02 9.300e-04 4.776e+00 3.901e-02 9.000e-04 4.538e+00 4.571e-02 7.300e-04 4.218e+00 4.459e-02 7.200e-04 3.876e+00 4.695e-02 7.700e-04 3.555e+00 4.741e-02 7.800e-04 3.253e+00 4.527e-02 7.800e-04 2.998e+00 4.227e-02 7.400e-04 2.789e+00 6.919e-02 8.700e-04 2.580e+00 8.897e-02 9.900e-04 2.363e+00 1.146e-01 1.200e-03 2.153e+00 1.398e-01 1.300e-03 1.953e+00 1.557e-01 1.500e-03 1.766e+00 1.723e-01 1.600e-03 1.594e+00 1.834e-01 1.700e-03 1.440e+00 1.857e-01 1.900e-03 1.302e+00 2.107e-01 2.000e-03 1.177e+00 2.089e-01 2.100e-03 1.067e+00 2.014e-01 2.100e-03 9.671e-01 2.176e-01 2.300e-03 8.752e-01 2.064e-01 9.600e-03 7.837e-01 2.969e-01 1.430e-02 6.918e-01 2.621e-01 1.220e-02 6.140e-01 2.420e-01 1.230e-02 5.489e-01 3.169e-01 1.300e-02 4.890e-01 3.366e-01 1.250e-02 4.352e-01 4.009e-01 1.210e-02 3.871e-01 4.122e-01 1.200e-02 3.445e-01 4.421e-01 1.160e-02 3.069e-01 5.891e-01 1.380e-02 2.732e-01 6.204e-01 1.350e-02 2.429e-01 7.634e-01 1.650e-02 2.162e-01 5.767e-01 1.480e-02 1.926e-01 4.916e-01 1.610e-02 1.714e-01 5.992e-01 2.400e-02 1.524e-01 6.394e-01 3.200e-02 1.356e-01 6.299e-01 3.340e-02 1.208e-01 7.802e-01 4.280e-02 1.044e-01 6.546e-01 2.820e-02 8.428e-02 8.106e-01 3.820e-02 6.513e-02 9.037e-01 4.420e-02 5.035e-02 1.283e+00 6.900e-02 3.892e-02 1.249e+00 7.600e-02 3.007e-02 1.559e+00 9.600e-02 2.324e-02 1.980e+00 1.300e-01 1.798e-02 2.104e+00 1.550e-01 1.394e-02 2.951e+00 2.190e-01 1.081e-02 2.954e+00 2.680e-01 8.288e-03 3.173e+00 3.020e-01 6.384e-03 4.604e+00 4.550e-01 4.984e-03 4.537e+00 5.140e-01 3.864e-03 4.650e+00 5.900e-01 2.968e-03 5.667e+00 8.090e-01 2.296e-03 ----------------------------------------------------------------------------------------- Table 2.5 Leakage spectra from beryllium sphere (ir=128mm or=173.5mm). ------------------------------------------------------------------------ Upper Energy n/Source_n error (MeV) --------------------------------------------- 1.640e+01 8.339e-05 8.658e-05 1.611e+01 8.566e-05 8.837e-05 1.583e+01 2.123e-03 2.190e-04 1.555e+01 2.180e-03 2.240e-04 1.527e+01 8.493e-02 1.310e-03 1.500e+01 8.724e-02 1.340e-03 1.474e+01 4.672e-01 3.100e-03 1.447e+01 4.799e-01 3.200e-03 1.422e+01 4.931e-01 3.300e-03 1.397e+01 2.338e-01 2.300e-03 1.372e+01 2.402e-01 2.300e-03 1.348e+01 8.465e-02 1.400e-03 1.324e+01 8.696e-02 1.430e-03 1.301e+01 4.600e-02 1.050e-03 1.278e+01 4.726e-02 1.070e-03 1.255e+01 2.897e-02 6.600e-04 1.218e+01 2.408e-02 6.100e-04 1.183e+01 2.518e-02 6.400e-04 1.148e+01 2.519e-02 6.500e-04 1.114e+01 2.127e-02 6.000e-04 1.082e+01 2.174e-02 6.200e-04 1.050e+01 2.128e-02 5.400e-04 1.009e+01 1.935e-02 5.300e-04 9.693e+00 1.951e-02 5.400e-04 9.314e+00 1.721e-02 5.200e-04 8.949e+00 1.714e-02 5.300e-04 8.598e+00 1.767e-02 5.500e-04 8.261e+00 1.878e-02 5.800e-04 7.938e+00 1.667e-02 5.400e-04 7.627e+00 1.762e-02 5.800e-04 7.327e+00 2.192e-02 7.000e-04 7.041e+00 2.285e-02 7.400e-04 6.765e+00 2.574e-02 7.900e-04 6.500e+00 2.298e-02 7.400e-04 6.242e+00 2.492e-02 8.200e-04 5.995e+00 2.425e-02 8.000e-04 5.757e+00 2.283e-02 7.800e-04 5.529e+00 2.467e-02 8.300e-04 5.310e+00 2.544e-02 8.400e-04 5.099e+00 2.353e-02 8.200e-04 4.897e+00 2.508e-02 8.400e-04 4.703e+00 2.714e-02 9.200e-04 4.516e+00 2.452e-02 8.700e-04 4.337e+00 2.669e-02 9.200e-04 4.165e+00 2.663e-02 9.100e-04 4.000e+00 2.841e-02 7.100e-04 3.699e+00 2.863e-02 7.200e-04 3.419e+00 3.280e-02 8.000e-04 3.162e+00 3.059e-02 7.700e-04 2.924e+00 3.536e-02 8.500e-04 2.704e+00 3.541e-02 8.300e-04 2.500e+00 5.277e-02 9.300e-04 2.270e+00 5.883e-02 9.900e-04 2.061e+00 7.327e-02 1.140e-03 1.871e+00 9.162e-02 1.330e-03 1.698e+00 1.014e-01 1.500e-03 1.542e+00 1.103e-01 1.600e-03 1.400e+00 1.105e-01 1.600e-03 1.275e+00 1.196e-01 1.800e-03 1.162e+00 1.407e-01 2.000e-03 1.058e+00 1.387e-01 2.100e-03 9.640e-01 1.435e-01 2.200e-03 8.780e-01 1.473e-01 2.400e-03 8.000e-01 1.371e-01 1.220e-02 7.130e-01 2.181e-01 1.860e-02 6.350e-01 1.468e-01 1.520e-02 5.660e-01 1.738e-01 1.600e-02 5.040e-01 2.062e-01 1.650e-02 4.490e-01 2.855e-01 1.650e-02 4.000e-01 2.781e-01 1.510e-02 3.560e-01 2.773e-01 1.490e-02 3.170e-01 2.789e-01 1.400e-02 2.830e-01 3.689e-01 1.660e-02 2.520e-01 3.912e-01 1.620e-02 2.240e-01 4.135e-01 1.900e-02 2.000e-01 3.049e-01 1.750e-02 1.780e-01 2.744e-01 2.000e-02 1.590e-01 3.406e-01 3.060e-02 1.410e-01 4.078e-01 4.230e-02 1.260e-01 3.741e-01 4.420e-02 1.120e-01 3.669e-01 5.580e-02 1.000e-01 4.409e-01 3.830e-02 7.740e-02 5.958e-01 5.270e-02 5.990e-02 5.087e-01 6.020e-02 4.640e-02 7.350e-01 9.540e-02 3.590e-02 7.778e-01 1.061e-01 2.780e-02 9.932e-01 1.346e-01 2.150e-02 1.154e+00 1.810e-01 1.670e-02 9.104e-01 2.167e-01 1.290e-02 1.288e+00 3.060e-01 1.000e-02 1.199e+00 3.770e-01 7.740e-03 1.532e+00 4.270e-01 5.990e-03 1.312e+00 6.410e-01 4.640e-03 1.681e+00 7.290e-01 3.590e-03 2.352e+00 8.410e-01 2.856e-03 7.014e+00 1.168e+00 2.240e-03 ----------------------------------------------------------------------------------------- Table 2.6 Leakage spectra from beryllium-lithium sphere ( Be 116.5 mm, Li 400.0 mm). -------------------------------------------------------------------------------------- Upper Energy n/Source_n error (MeV) ----------------------------------------- 1.640e+01 1.221e-02 4.800e-04 1.612e+01 1.255e-02 4.900e-04 1.584e+01 1.289e-02 5.000e-04 1.557e+01 1.883e-02 6.100e-04 1.531e+01 1.935e-02 6.200e-04 1.508e+01 1.988e-02 6.400e-04 1.485e+01 2.007e-02 6.500e-04 1.462e+01 2.062e-02 6.600e-04 1.441e+01 2.118e-02 6.800e-04 1.420e+01 1.925e-02 6.500e-04 1.399e+01 1.977e-02 6.700e-04 1.378e+01 1.513e-02 5.900e-04 1.357e+01 1.554e-02 6.000e-04 1.336e+01 1.596e-02 6.200e-04 1.316e+01 1.337e-02 5.700e-04 1.292e+01 1.385e-02 4.600e-04 1.261e+01 1.183e-02 4.300e-04 1.226e+01 1.237e-02 4.500e-04 1.191e+01 9.926e-03 4.090e-04 1.156e+01 9.657e-03 4.110e-04 1.122e+01 1.010e-02 4.300e-04 1.086e+01 1.034e-02 3.800e-04 1.045e+01 9.881e-03 3.790e-04 1.004e+01 1.026e-02 4.000e-04 9.642e+00 9.597e-03 3.910e-04 9.261e+00 1.027e-02 4.100e-04 8.896e+00 9.880e-03 4.150e-04 8.545e+00 1.008e-02 4.300e-04 8.208e+00 9.830e-03 4.330e-04 7.884e+00 1.109e-02 4.700e-04 7.571e+00 1.074e-02 4.700e-04 7.271e+00 1.012e-02 4.700e-04 6.983e+00 1.206e-02 5.300e-04 6.705e+00 1.229e-02 5.700e-04 6.436e+00 1.196e-02 5.600e-04 6.177e+00 1.212e-02 6.000e-04 5.929e+00 1.173e-02 6.000e-04 5.691e+00 1.557e-02 7.100e-04 5.462e+00 1.209e-02 6.100e-04 5.241e+00 1.311e-02 6.700e-04 5.030e+00 1.327e-02 6.800e-04 4.828e+00 1.233e-02 6.800e-04 4.633e+00 1.224e-02 6.800e-04 4.447e+00 1.319e-02 7.400e-04 4.270e+00 1.380e-02 8.000e-04 4.063e+00 1.414e-02 6.000e-04 3.793e+00 1.864e-02 6.900e-04 3.505e+00 1.987e-02 7.100e-04 3.238e+00 2.644e-02 8.300e-04 2.992e+00 2.874e-02 8.900e-04 2.765e+00 3.138e-02 9.500e-04 2.546e+00 4.105e-02 1.000e-03 2.324e+00 4.811e-02 1.140e-03 2.111e+00 5.476e-02 1.210e-03 1.918e+00 6.764e-02 1.360e-03 1.741e+00 9.121e-02 1.680e-03 1.580e+00 9.137e-02 1.710e-03 1.435e+00 1.026e-01 1.900e-03 1.305e+00 1.024e-01 2.000e-03 1.188e+00 1.267e-01 2.300e-03 1.082e+00 1.451e-01 2.700e-03 9.849e-01 1.603e-01 2.900e-03 8.969e-01 1.946e-01 3.200e-03 8.130e-01 2.135e-01 2.340e-02 7.288e-01 3.246e-01 3.530e-02 6.488e-01 3.305e-01 3.080e-02 5.777e-01 4.520e-01 3.340e-02 5.145e-01 5.009e-01 3.400e-02 4.581e-01 4.895e-01 3.170e-02 4.078e-01 4.648e-01 2.900e-02 3.627e-01 3.744e-01 2.740e-02 3.226e-01 2.632e-01 2.440e-02 2.871e-01 1.956e-01 2.670e-02 2.555e-01 1.482e-01 2.510e-02 2.275e-01 3.544e-01 3.270e-02 2.030e-01 6.096e-01 3.480e-02 1.811e-01 9.039e-01 4.340e-02 1.613e-01 1.357e+00 6.800e-02 1.436e-01 1.493e+00 9.100e-02 1.279e-01 1.545e+00 9.600e-02 1.139e-01 1.614e+00 1.200e-01 9.857e-02 1.361e+00 7.900e-02 7.964e-02 1.451e+00 1.070e-01 6.160e-02 1.524e+00 1.230e-01 4.771e-02 2.186e+00 1.940e-01 3.696e-02 1.970e+00 2.140e-01 2.862e-02 2.077e+00 2.690e-01 2.218e-02 2.405e+00 3.620e-01 1.714e-02 2.529e+00 4.350e-01 1.327e-02 3.698e+00 6.150e-01 1.030e-02 2.963e+00 7.530e-01 7.952e-03 2.978e+00 8.520e-01 6.160e-03 3.536e+00 1.282e+00 4.760e-03 1.972e+00 1.450e+00 3.640e-03 ----------------------------------------------------------------------------------------- Table 2.7 Leakage spectra from beryllium-lithium sphere ( Be 45.5 mm, Li 400.0 mm). ------------------------------------------------------------------------------------- Upper Energy n/Source_n error (MeV) ----------------------------------------- 1.640e+01 7.695e-04 1.366e-04 1.612e+01 7.905e-04 1.394e-04 1.584e+01 2.575e-02 6.700e-04 1.558e+01 2.645e-02 6.800e-04 1.534e+01 2.718e-02 7.000e-04 1.512e+01 4.378e-02 8.900e-04 1.491e+01 4.498e-02 9.100e-04 1.469e+01 4.620e-02 9.300e-04 1.448e+01 4.805e-02 9.600e-04 1.427e+01 4.935e-02 9.800e-04 1.406e+01 5.071e-02 1.000e-03 1.385e+01 4.189e-02 9.200e-04 1.365e+01 4.304e-02 9.400e-04 1.344e+01 4.421e-02 9.600e-04 1.323e+01 3.318e-02 8.400e-04 1.299e+01 3.439e-02 6.700e-04 1.267e+01 2.574e-02 5.900e-04 1.232e+01 2.692e-02 6.200e-04 1.196e+01 2.116e-02 5.600e-04 1.159e+01 1.793e-02 5.200e-04 1.124e+01 1.876e-02 5.400e-04 1.086e+01 1.633e-02 4.400e-04 1.044e+01 1.641e-02 4.500e-04 1.002e+01 1.608e-02 4.600e-04 9.627e+00 1.708e-02 4.800e-04 9.247e+00 1.656e-02 4.900e-04 8.883e+00 1.801e-02 5.200e-04 8.534e+00 1.780e-02 5.300e-04 8.198e+00 1.953e-02 5.600e-04 7.875e+00 1.801e-02 5.500e-04 7.564e+00 1.873e-02 5.800e-04 7.264e+00 1.737e-02 5.700e-04 6.976e+00 1.916e-02 6.200e-04 6.698e+00 2.033e-02 6.700e-04 6.430e+00 1.974e-02 6.700e-04 6.171e+00 1.981e-02 7.100e-04 5.923e+00 2.079e-02 7.300e-04 5.686e+00 2.199e-02 7.800e-04 5.457e+00 2.046e-02 7.300e-04 5.236e+00 2.126e-02 7.800e-04 5.025e+00 2.022e-02 7.700e-04 4.823e+00 1.970e-02 7.800e-04 4.628e+00 1.866e-02 7.700e-04 4.442e+00 2.351e-02 9.000e-04 4.265e+00 2.152e-02 9.100e-04 4.059e+00 2.222e-02 6.800e-04 3.790e+00 2.514e-02 7.400e-04 3.503e+00 3.016e-02 8.100e-04 3.238e+00 3.200e-02 8.500e-04 2.992e+00 4.183e-02 9.900e-04 2.766e+00 4.249e-02 1.020e-03 2.547e+00 5.418e-02 1.070e-03 2.325e+00 6.437e-02 1.230e-03 2.112e+00 7.448e-02 1.310e-03 1.919e+00 8.742e-02 1.440e-03 1.742e+00 1.100e-01 1.700e-03 1.581e+00 1.182e-01 1.800e-03 1.436e+00 1.276e-01 2.000e-03 1.306e+00 1.407e-01 2.200e-03 1.190e+00 1.655e-01 2.500e-03 1.083e+00 1.825e-01 2.800e-03 9.869e-01 2.005e-01 3.000e-03 8.994e-01 2.135e-01 3.200e-03 8.160e-01 2.522e-01 3.200e-03 7.323e-01 3.608e-01 4.100e-03 6.522e-01 4.111e-01 4.600e-03 5.810e-01 5.400e-01 5.800e-03 5.180e-01 4.633e-01 3.370e-02 4.614e-01 5.158e-01 3.220e-02 4.106e-01 4.596e-01 2.910e-02 3.649e-01 4.104e-01 2.790e-02 3.241e-01 2.793e-01 2.470e-02 2.881e-01 1.899e-01 2.670e-02 2.563e-01 1.829e-01 2.560e-02 2.284e-01 4.912e-01 3.440e-02 2.040e-01 6.713e-01 3.570e-02 1.823e-01 8.482e-01 4.310e-02 1.627e-01 1.171e+00 6.600e-02 1.449e-01 1.453e+00 9.100e-02 1.292e-01 1.390e+00 9.500e-02 1.152e-01 1.567e+00 1.200e-01 9.974e-02 1.294e+00 7.900e-02 8.070e-02 1.530e+00 1.070e-01 6.256e-02 1.472e+00 1.230e-01 4.855e-02 2.106e+00 1.940e-01 3.769e-02 1.763e+00 2.130e-01 2.918e-02 2.226e+00 2.700e-01 2.257e-02 2.405e+00 3.620e-01 1.753e-02 2.578e+00 4.360e-01 1.361e-02 3.615e+00 6.150e-01 1.053e-02 3.684e+00 7.570e-01 8.120e-03 1.530e+00 8.470e-01 6.272e-03 5.260e+00 1.289e+00 4.872e-03 2.155e+00 1.451e+00 3.752e-03 ----------------------------------------------------------------------------------------- 0010$:JOB:,A,NIT-J3,R,,JPA4 0020$:FRT77:OPT=3,IAP(256) 0030$:LIMITS:05,236K,-3K,50000 0040$:FILE:P*,NULL 0050$:PRMFL:S*,R,S,A63010/PRO/NIT1MS 0060$:GO 0070$:LIMITS:05,236K,-3K,50000 0080$:PRMFL:01,W,S,A63010/MURA/FLUXS/BE57173 :output (scalar flux) 0090$:PRMFL:02,W,S,A63010/MURA/FLUXA/BE57173 :output (angular flux) 0100$:PRMFL:11,R,S,D63182/YAMA/KERN/BE-J3 :kernel of Beryllium 0110 BE ( 57MM-173.5MM) SPHERE BY NIT1MS S-19 135G FROM JENDL-3 0120 135 36 0 2 1 200 1 -1 0 0 0 0 0 0130 0 0 0 0.0 0140$:SELECT:A63010/MURA/MESH/BE57173 :geometry mesh 0150 13 36 0160 0 1 0170 VACUUM ( 5.70 CM ) 0180 BERYLLIUM ( 17.35 CM ) JENDL-3 0190 1.0E-4 1.0 10000.0 0200 1 135 0210 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0220 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0230 0.0 0.0 1.0 0240$:SELECT:A63010/MURA/DT-S/MAY :Source neutron 0250 0.12295 135 :spectra 0260$:SELECT:A63010/XSEC/ST/BE-J3 :Total cross section 0270GO :of Beryllium 0280$:ENDJOB Fig. 2.8 JCL of NITRAN-1 for Beryllium analysis.