Spatial Distribution of Vacancies Formed by a Cascade of Knocked-on Atoms in a Solid

Based on the Boltzmann kinetic equation, an exact expression is obtained for describing the spatial distribution of vacancies formed by a cascade of atomic collisions in a solid. This expression is represented in a simple dimensionless form depending on single dimensionless parameter ε 0 = E 0 /ε d...

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Bibliographic Details
Published in:Journal of experimental and theoretical physics 2022-11, Vol.135 (5), p.720-725
Main Authors: Metelkin, E. V., Lebedeva, M. V.
Format: Article
Language:English
Subjects:
Atomic collisions
Atomic properties
Classical and Quantum Gravitation
Collisions (Nuclear physics)
Disorder
Elementary Particles
Force and energy
Kinetic equations
Lattice sites
Order
Particle and Nuclear Physics
Phase Transition in Condensed System
Physics
Physics and Astronomy
Quantum Field Theory
Relativity Theory
Solid State Physics
Spatial distribution
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Summary:Based on the Boltzmann kinetic equation, an exact expression is obtained for describing the spatial distribution of vacancies formed by a cascade of atomic collisions in a solid. This expression is represented in a simple dimensionless form depending on single dimensionless parameter ε 0 = E 0 /ε d ( E 0 is the energy of primary knocked-on atoms and ε d is the binding energy of atoms at lattice sites). In solving the kinetic equation, it was assumed that the solid consists of identical atoms, the scattering of moving atoms is elastic and spherically symmetric in the center-of-mass system, and the interaction cross section is a constant quantity.
ISSN:1063-7761
1090-6509
DOI:10.1134/S1063776122110115