The Z1 Oscillations in Electronic Stopping
An expression for the energy loss cross-section of a particle of mass m1 and velocity v 1 colliding with particles of mass m2 having a distribution of velocities v 2 is obtained. The energy loss cross-section is proportional to the momentum transfer cross-section which depends upon the elastic scattering intensity in the target-projectile center-of-mass system. When applied to the scattering of electrons by incident atoms moving at velocities v1 ~ v2 the momentum transfer cross-section shows strong oscillations with Z1 in the same regions as those observed in the electronic stopping power. These oscillations are connected with the shell structure of the periodic table by an analysis of the phase shift induced in the electron wavefunctions of different angular momentum. By considering the Coulomb scattering from a bare incident particle, the connection with other theories of stopping, when v1 « v2 and v1 » v2 respectively, is established.
KeywordsPhase Shift Bare Incident Coulomb Scattering Target Electron Bare Particle
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