Calculation of the percentage of electrons emitting from a nanoparticle to water in a nanoparticle/water system under the influence of ionizing radiation

As a result of irradiation of nanoparticles with radius R suspended in liquid water, electrons are formed inside it, diffusing in different directions with the same probability and gradually losing their energy during elastic and inelastic collisions. During the physical and physicochemical stages of the process, some of the electrons are transferred to the surface of the nanoparticle and emit into the water. Using the MATHCAD program, the trajectory of electrons was traced using single-collision, step-by-step and Monte-Carlo methods and the percentage ratio of electrons emitting from the surface of nanoparticles into water was calculated. From the calculations, it was revealed that the emission percentage varies depending on the electron energy and the size of nanoparticles, and all electrons with a mean free path satisfying the λ≥2R condition are emitted from the surface of the nanoparticles into water. Emitting electrons in liquid water lose some of their energy, turning first into thermal electrons, and then solvated.