Verify that if the value of ν for Plutonium-239 is 2.871, then the value of η for Plutonium-239 must be 2.106.
From Table 7.9, the capture-to-fission ratio for Plutonium-239 or α is 0.362. Therefore, η = ν/(1 + α) = 2.871/ (1.362) = 2.108.
TABLE 7.9 | |||
Nuclear Data for the Thermal Neutron Fission of Several Isotopes at E = 0.025 eV | |||
Nuclear Fuel | Capture-to-Fission Ratio (α = σ_c/σ_f) | Number of Neutrons Produced per Neutron Absorbed (η) | Number of Neutrons Produced per Fission (ν) |
U-233 | 0.089 | 2.287 | 2.492 |
U-235 | 0.169 | 2.068 | 2.418 |
U-238 | 1.811 | 0.300 | 2.600 |
Pu-239 | 0.362 | 2.108 | 2.871 |
Pu-241 | 0.359 | 2.145 | 2.917 |
Source: Lamarsh, J.R., Introduction to Nuclear Reactor Theory, second printing, Addison-Wesley Publishing Company, Inc., Reading, MA, 1972. |