The article considers a physical and mathematical model of the synthesis of silver nanoparticles by the method of cavitation-diffusion photochemical reduction. The influence of the power of ultraviolet radiation on the rate of nanoparticle synthesis has been studied. It has been established that with a decrease in the power of UV radiation, the total duration of the synthesis of silver nanoparticles increases. Also, the rate of the chemical reactions themselves decreases due to a decrease in the amount of ОН– and, as a result, a decrease in the concentration of е–. The obtained results of the dependence of the concentration of the ammonia complex, atomic silver and silver dimers on time at different levels of ultraviolet radiation are consistent with the experimental results. The simplifications introduced into the model do not have a significant impact on the calculation results. The developed physical and mathematical model will allow us to study and improve the process of synthesis of silver nanoparticles used to impart antiseptic properties to suture materials, including against pathogens of bacterial infections.In addition, a promising area for the use of such nanoparticles may be the development of wound coverings based on fibers from various materials treated with a solution containing silver nanoparticles obtained by cavitation-diffusion photochemical reduction. When synthesizing nanoparticles using this method, more than half of the nanoparticles have a diameter of up to 5 nm, which will contribute to the destruction of biofilms formed on the surface of infected wounds.

В статье рассматривается физико-математическая модель процесса синтеза наночастиц серебра методом кавитационно-диффузионного фотохимического восстановления. Исследовано влияние мощности ультрафиолетового излучения на скорость синтеза наночастиц. Установлено, что при уменьшении мощности УФ излучения увеличивается общая длительность синтеза наночастиц серебра. Также уменьшается скорость самих химических реакций из-за уменьшения количества ОН– и, как следствие, уменьшения концентрации е–.