Inelastic scattering single dipole

The probability for single electron excitations depends on the kinematics of the incident electron and the transition probability (Celotta and Huebner, 1979). Within the approximation of fast collisions this transition probability is described by the dipole matrix element of the initial and final state of the target. Summing up over all possible excitations with AE the energy distribution of fast inelastically scattered electrons is obtained. 

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