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Inelastic Scattering

Chapter
Part of the Springer Tracts in Modern Physics book series (STMP, volume 186)

Abstract

Assume that a free electron is at rest. At a distance r from it, another electron is travelling along the z direction. If θ represents the angle between r and z, v represents the velocity of the incident electron and the instant of impact is t = 0, − vt = r cosθ. (4.1) Defining the impact parameter b by b = r sinθ, (4.2) it is possible to see that b is the distance from the trajectory of the incident electron to the target: b 2 + v 2 t 2 = r 2 . (4.3) F indicates the force of repulsion between the two electrons, where F z = e 2 cosθ/r 2 (4.4) and F x = e 2 sinθ/r 2 , (4.5) and p z and p x are the components of the momentum transferred to the target electron. As cotθ = −vt/b, (4.6) differentiating with respect to θ, we can obtain dt/=b/vsin 2 θ. (4.7) Therefore, 1/r 2 dt/=1/bv. (4.8)

Keywords

Free Path Impact Parameter Dielectric Function Inelastic Scattering Optical Data 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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© Springer-Verlag Berlin Heidelberg 2003

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