Two-Particle Collisions. II. Coulomb Collisions in the Laboratory System of Coordinates

Simulation of the generation of the characteristic X-ray emission by hot electrons in a foil

“…The cross section of the K-shell ionisation, s K (E ), is determined according to the analytical expression [9], in which the corresponding factor [10,11] takes into account the growth of the cross section with increasing energy of the relativistic electrons. In the calculations the following parameters were used: the probabilities w K = 0.831 [12] and p a = 0.826 [13], the concentration of atoms n a = 5.86 ´ 10 22 cm -3 , the ionisation potential E K = 25.516 keV and the absorption length l a = 74 mm [14] of K a radiation with the weighted mean energy of 22.1 keV (defined according to [13,15]), which correspond to silver under normal conditions.…”

Numerical simulation of the charge balance and temperature evolution in an electron beam ion trap

“…where J e is the electron beam current density, e is the electron charge, fðe; iÞ is the overlap factor with the electron beam, and EI i is the EI cross sections which can be calculated, for example, using the relativistically corrected Lotz formula [21][22][23][24]. The RR reaction rate can be written in exactly the same manner, replacing EI by RR throughout.…”

Energetic electron processes fluorescence effects for structured nanoparticles X-ray analysis and nuclear medicine applications

“…A detail description of the energy transfer distribution in electron-electron collisions, in a classical approximation can be found in Gryziń ski 1965 work [17].…”