Nuclear Reactor Physics and Design

  1. Neutron Transport and Diffusion Theory
    1. Neutron Population Description
      1. Neutron Flux
        1. Scalar Flux
          1. Angular Flux
            1. Energy Dependence
              1. Spatial Distribution
              2. Neutron Current
                1. Current Density Vector
                  1. Net Current
                    1. Partial Currents
                    2. Reaction Rates
                      1. Absorption Rate
                        1. Fission Rate
                          1. Scattering Rate
                            1. Production Rate
                          2. The Neutron Transport Equation
                            1. Derivation from First Principles
                              1. Neutron Balance Equation
                                1. Phase Space Variables
                                2. The Boltzmann Transport Equation
                                  1. Streaming Term
                                    1. Collision Term
                                      1. Source Term
                                      2. Boundary Conditions
                                        1. Vacuum Boundary
                                          1. Reflective Boundary
                                            1. Periodic Boundary
                                            2. Integral Form of Transport Equation
                                              1. Collision Probability Method
                                                1. Method of Characteristics
                                              2. Neutron Diffusion Theory
                                                1. Fick's Law
                                                  1. Physical Basis
                                                    1. Limitations and Validity
                                                    2. Derivation of Diffusion Equation
                                                      1. P1 Approximation
                                                        1. Diffusion Coefficient
                                                          1. Steady-State Diffusion Equation
                                                            1. Time-Dependent Diffusion Equation
                                                            2. Boundary and Interface Conditions
                                                              1. Vacuum Boundary Condition
                                                                1. Extrapolated Boundary
                                                                  1. Interface Conditions
                                                                    1. Albedo Boundary Condition
                                                                    2. Solutions to Diffusion Equation
                                                                      1. Homogeneous Media
                                                                        1. Point Source Solutions
                                                                          1. Plane Source Solutions
                                                                        2. Neutron Slowing Down Theory
                                                                          1. Elastic Scattering Kinematics
                                                                            1. Laboratory and Center-of-Mass Systems
                                                                              1. Energy Transfer in Elastic Collisions
                                                                                1. Scattering Angle Distribution
                                                                                2. Slowing Down Parameters
                                                                                  1. Average Logarithmic Energy Decrement
                                                                                    1. Average Number of Collisions
                                                                                      1. Slowing Down Power
                                                                                      2. Age Theory
                                                                                        1. Fermi Age Equation
                                                                                          1. Age to Thermal Energy
                                                                                            1. Slowing Down Density
                                                                                            2. Resonance Escape
                                                                                              1. Resonance Escape Probability
                                                                                                1. Narrow Resonance Approximation
                                                                                                  1. Wide Resonance Approximation
                                                                                                2. Thermal Neutron Physics
                                                                                                  1. Neutron Thermalization
                                                                                                    1. Thermalization Process
                                                                                                      1. Thermal Equilibrium
                                                                                                        1. Thermalization Length
                                                                                                        2. Maxwell-Boltzmann Distribution
                                                                                                          1. Thermal Neutron Spectrum
                                                                                                            1. Most Probable Energy
                                                                                                              1. Average Energy
                                                                                                              2. Neutron Temperature
                                                                                                                1. Effective Temperature
                                                                                                                  1. Hardening of Spectrum
                                                                                                                  2. Thermal Utilization
                                                                                                                    1. Thermal Disadvantage Factor
                                                                                                                      1. Resonance Disadvantage Factor