Computer Simulation Of Vacancy Clusters Concentration In Titanium Irradiated With Ions

INTERNATIONAL JOURNAL OF MATHEMATICS AND PHYSICS(2020)

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Abstract
The process of irradiation of metals with ions is an effective method for changing various properties of materials, in particular titanium, as well as obtaining new materials. This work is devoted to modeling radiation processes in titanium irradiated with ions. Algorithms of cascade-probabilistic functions (CPF) computation depending on the number of interactions and the particle penetration deep number for various incident particles of the Mendeleev's periodic table in titanium are presented. Approximate value expressions for cross-sections are chosen, patterns of cooperation cross-sections demeanor, CP-functions depending on observation profound, number of interactions, target atomic number, primary particle initial energy are noted. Algorithms for calculating the radiation imperfections concentration in ion radiation have been developed and computations in titanium in ion radiation have been carried out. With the calculating CPF and the depth distribution of vacancy clusters, it is necessary to find the region of the result in which these characteristics of the process of formation of radiation defects in solids are exists. Regularities obtained when finding this area are formulated. The calculation results in the form of graphs and tables are presented.
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Key words
Modeling, algorithm, computation, ion, regularities, approximate value, CPF, cooperation cross-section, concentration, vacancy accumulations
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