Note on the Production of Pairs by Charged Particles

We compute the internal conversion by pair-production of the radiation emitted in the impact of charged particles. When the energy available for pair-production is large compared to $m{c}^2$, this simple method gives a valid estimate of pair-production by the impact. For electrons of very high energy the probability of pair-production increases as ${\left[\ln \right(\frac{E}{m{c}^2}\left)\right]}^2$.