ABSTRACT
This chapter calculates the momentum and energy transfer in closed form, in the nonrelativistic limit. It also calculates the scattering angles in the lab frame, in the relativistic case, and the nonrelativistic approximation. This represents the complete solution to the two-particle scattering kinematics. Two-particle scattering forms the basis of many of the interactions of charged particle beams with matter in practical instruments. The chapter focuses on the important special case of two-particle scattering in which the incident particle transfers negligible energy to the target particle. A scattering event which transfers energy from the incident particle to the target material is called inelastic scattering. The transferred energy can be manifest in a variety of secondary processes. The chapter confines to the primary energy transfer, without considering the multiplicity of secondary processes. It considers a charged particle with velocity v passing through an infinite medium with complex dielectric coefficient.
