| The Physics of the Manhattan Project | 3 |
|---|
| Preface | 7 |
| References | 10 |
| Contents | 11 |
| Chapter 1: Energy Release in Nuclear Reactions, Neutrons, Fission, and Characteristics of Fission | 15 |
| 1.1 Notational Conventions for Mass Excess and Q-Values | 16 |
| 1.2 Rutherford and the Energy Release in Radium Decay | 17 |
| 1.3 Rutherford´s First Artificial Nuclear Transmutation | 19 |
| 1.4 Discovery of the Neutron | 20 |
| 1.5 Artificially-Induced Radioactivity and the Path to Fission | 28 |
| 1.6 Energy Release in Fission | 33 |
| 1.7 The Bohr-Wheeler Theory of Fission: The $$ {{{{\bf Z^2}}} {\bf \left/ {A} \right.}} $$ Limit Against Spontaneous Fission | 34 |
| 1.8 Energy Spectrum of Fission Neutrons | 39 |
| 1.9 Leaping the Fission Barrier | 41 |
| 1.10 A Semi-Empirical Look at the Fission Barrier | 46 |
| References | 50 |
| Chapter 2: Critical Mass and Efficiency | 52 |
| 2.1 Neutron Mean Free Path | 53 |
| 2.2 Critical Mass: Diffusion Theory | 58 |
| 2.3 Effect of Tamper | 64 |
| 2.4 Estimating Bomb Efficiency: Analytic | 71 |
| 2.5 Estimating Bomb Efficiency: Numerical | 79 |
| 2.5.1 A Simulation of the Hiroshima Little Boy Bomb | 82 |
| 2.6 Another Look at Untamped Criticality: Just One Number | 85 |
| References | 87 |
| Chapter 3: Producing Fissile Material | 88 |
| 3.1 Reactor Criticality | 88 |
| 3.2 Neutron Thermalization | 91 |
| 3.3 Plutonium Production | 94 |
| 3.4 Electromagnetic Separation of Isotopes | 97 |
| 3.5 Gaseous (Barrier) Diffusion | 103 |
| References | 108 |
| Chapter 4: Complicating Factors | 110 |
| 4.1 Boron Contamination in Graphite | 111 |
| 4.2 Spontaneous Fission of 240Pu, Predetonation, and Implosion | 113 |
| 4.2.1 Little Boy Predetonation Probability | 118 |
| 4.2.2 Fat Man Predetonation Probability | 118 |
| 4.3 Tolerable Limits for Light-Element Impurities | 121 |
| References | 125 |
| Chapter 5: Miscellaneous Calculations | 127 |
| 5.1 How Warm is It? | 127 |
| 5.2 Brightness of the Trinity Explosion | 128 |
| 5.3 Model for Trace Isotope Production in a Reactor | 132 |
| References | 137 |
| Chapter 6: Appendices | 138 |
| 6.1 Appendix A: Selected Delta-Values and Fission Barriers | 138 |
| 6.2 Appendix B: Densities, Cross-Sections and Secondary Neutron Numbers | 139 |
| 6.2.1 Thermal Neutrons (0.0253eV) | 139 |
| 6.2.2 Fast Neutrons (2MeV) | 139 |
| 6.2.2.1 References | 140 |
| 6.3 Appendix C: Energy and Momentum Conservation in a Two-Body Collision | 140 |
| 6.4 Appendix D: Energy and Momentum Conservation in a Two-Body Collision that Produces a Gamma-Ray | 143 |
| 6.5 Appendix E: Formal Derivation of the Bohr-Wheeler Spontaneous Fission Limit | 145 |
| 6.5.1 E1: Introduction | 145 |
| 6.5.2 E2: Nuclear Surface Profile and Volume | 146 |
| 6.5.3 E3: The Area Integral | 149 |
| 6.5.4 E4: The Coulomb Integral and the SF Limit | 150 |
| 6.5.5 References | 155 |
| 6.6 Appendix F: Average Neutron Escape Probability from Within a Sphere | 155 |
| 6.7 Appendix G: The Neutron Diffusion Equation | 157 |
| 6.7.1 References | 165 |
| 6.8 Appendix H: Questions | 165 |
| 6.9 Answers | 172 |
| 6.10 Appendix I: Further Reading | 173 |
| 6.10.1 General Works | 174 |
| 6.10.2 Biographical and Autobiographical Works | 175 |
| 6.10.3 Technical Works | 177 |
| 6.10.4 Websites | 178 |
| 6.11 Appendix J: Useful Constants and Conversion Factors | 179 |
| 6.11.1 Rest Masses | 179 |
| Index | 180 |