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Modes of motion of light atoms (hydrogen and helium) in diamond-like lattice
Russian version
Kalashnikov E. V.1, Plotnikova V. I.1, Nadakhovskaya M. A.1, Gannibal M. A.2
1Federal State University of Education, Moscow, Russia
2Geological Institute, Kola Science Centre RAS, Apatity, Russia
Email: ekevkalashnikov1@gmail.com, vera_askerova@mail.ru, nadahovskayamarina_fmf@mail.ru, m.a.gannibal@gmail.com
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The motion of a foreign atom (e. g. hydrogen or helium isotope) along the interstitials in a diamond-like silicon lattice is considered. The Lagrangian of the system "foreign atom + crystal" accounts for the influence of a foreign atom on the lattice atoms. The symmetries assumed by the Lagrange function allow the multidimensional system of equations describing the behavior of a foreign atom and lattice atoms to be reduced to a one-dimensional nonlinear equation. The solution to the equation is either the Frenkel-Kontorova soliton, which describes the translational behavior of a collective consisting of the foreign atom and the accompanying reversible displacements of the nearest lattice atoms, or the vibrational motion of a foreign atom, as a particle with the mass of an atom. Keywords: Lagrange function, bilinear form, Frenkel-Kontorova soliton.
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