In Russia, a mathematical model has been developed for the analysis of quantum effects in nanomaterials, not taking into account that an accurate assessment of their properties is impossible. This was reported by the press service of Moscow State University.
“The project team developed a unique mathematical model based on the discrete source method, which allows solving a wide variety of problems, taking into account the quantum effects of plasmonic nanostructures. The peculiarity of the method is that it allows to evaluate the error of the obtained solution and guarantees the minimum error of the results,” he said.
The model allows, among other things, to account for tunneling effects and to abandon the boundaries of metals by an electron cloud. In this way, it was possible to reveal new relationships between physical events in nanomaterials. In particular, it turned out that the effect of surface quantum effects has a completely different character compared to the non-local effects explained in the framework of the generalized Drude theory of hydrodynamics. This is particularly evident near the surface of the particle under study.
Nanomaterials are materials made from nanoparticles or assembled using nanotechnology because of their unusual properties. An example of such materials is a compound based on graphene or carbon nanotubes.
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