1. Introduction.- 2. The Binary Collision Model.- 2.1 Laboratory System.- 2.2 Centre-of-Mass System.- 2.3 Relations Between Laboratory and Centre-of-Mass Systems.- 2.4 Energy Transfer.- 2.5 Classical Scattering Theory.- 2.6 Asymptotic Trajectories.- 2.7 Determination of the Scattering Angle and the Time Integral.- 2.8 Limitations of the Binary Collision Approximation.- 2.9 Limitations of the Classical Mechanics Treatment.- 3. Classical Dynamics Model.- 3.1 Newton’s Equations.- 3.2 Integration of Newton’s Equations.- 3.2.1 Central Difference Scheme.- 3.2.2 Average Force Method.- 3.2.3 Euler-Cauchy Scheme.- 3.2.4 Predictor-Corrector Scheme.- 3.2.5 The Verlet Scheme.- 3.2.6 Nordsieck Method.- 3.3 The Time Step, Bookkeeping.- 4. Interaction Potentials.- 4.1 Screened Coulomb Potentials.- 4.2 The Born-Mayer Potential.- 4.3 Attractive Potentials.- 4.4 Combined Potentials.- 4.5 Empirical Potentials.- 4.6 Embedded Atom Method.- 4.7 Analytical Methods.- 4.8 Comparison of Potentials.- 5. Inelastic Energy Loss.- 5.1 Local Electronic Energy Loss.- 5.2 Continuous Electronic Energy Loss.- 5.3 Comparison.- 6. Thermal Vibrations and Specific Energies.- 6.1 Thermal Vibrations.- 6.2 Specific Energies.- 6.2.1 Cutoff Energy.- 6.2.2 Displacement Energy.- 6.2.3 Bulk Binding Energy.- 6.2.4 Surface Binding Energy.- 7. Programs Based on the BCA Model.- 7.1 Random Target Structures.- 7.2 Monte Carlo Programs.- 7.3 Crystalline Targets.- 7.4 Lattice Programs.- 7.5 TRIM.SP and TRIDYN.- 7.5.1 TRIM.SP.- 7.5.2 TRIDYN.- 7.6 MARLOWE.- 8. Programs Based on the Classical Dynamics Model.- 8.1 Stable, Metastable and Quasi-Stable Programs.- 8.2 Classical Dynamics Programs.- 9. Trajectories.- 10. Ranges.- 10.1 Definitions.- 10.2 Literature.- 10.3 Examples.- 11. Backscattering.- 11.1 Definitions.- 11.2 Literature.- 11.3 Examples.- 12. Sputtering.- 12.1 Definitions.- 12.2 Negative Binomial Distribution.- 12.3 Literature.- 12.4 Examples.- 13. Radiation Damage.- 13.1 Definitions.- 13.2 Component Analysis.- 13.3 Fuzzy Clustering.- 13.4 Literature.- 13.5 Examples.- Abbreviations Used in the Tables.- Constants.- References.- Author Index.