Scattering of particles from a solid surface: the impulsive model of composite encounters

  • Vyacheslav M. Akimov
  • Vladimir M. Azriel
  • Lyubov I. Kolesnikova
  • Lev Yu. Rusin
  • Mikhail B. SevryukEmail author


We propose a general impulsive model for scattering of molecules from a flat solid surface. It is assumed within the framework of this model that an encounter of an atom (or ion) with the surface is a series of elastic (in the direction normal to the surface) hits of the atom against surface pseudoparticles, the hits instantly following each other. To each atom, one assigns two infinite sequences of masses of pseudoparticles. The model is a far-reaching generalization of the well-known hard cube model. Criteria for both finiteness and infinity of series of hits are formulated, based on the masses of pseudoparticles and the mass of the atom. It is shown that in virtually all the cases, any number of hits in a series occurs with a positive probability. The proposed model does not satisfy the reciprocity condition.


Scattering of atoms from a surface Impulsive model Surface pseudoparticles Series of hits 



The research was financed only from the state budget of the Russian Federation and was carried out within the framework of the Program of fundamental scientific research of the state academies of sciences of the Russian Federation for 2013–2020, the theme being “Fundamental physical–chemical processes of the impact of energy objects on the environment and living systems”.

Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.


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Copyright information

© Accademia Nazionale dei Lincei 2019

Authors and Affiliations

  1. 1.V.L. Talrose Institute for Energy Problems of Chemical Physics, N.N. Semënov Federal Research Center of Chemical PhysicsRussian Academy of SciencesMoscowRussia

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